Melu_L2L_hyperTunning/movielens/ml-1m/warm_state_y.json

{"1456": [4, 3, 5, 5, 3, 2, 5, 5, 4, 5, 4, 3], "3707": [4, 3, 4, 4, 5, 2, 3, 4, 4, 4, 4, 2, 4, 5, 5, 3, 4, 2, 3, 2, 5, 5, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 5], "711": [5, 3, 5, 3, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 4, 5, 3, 4, 3, 5, 5, 5, 3, 5, 3, 4, 2, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 1, 3, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 3, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5], "4732": [4, 3, 1, 4, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 5, 1, 5, 3, 4, 4, 2, 4, 1, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 2, 3, 3, 4, 4, 3, 4, 3, 3, 4, 5, 3, 5, 3, 3, 1, 3, 4, 2, 3, 5, 4, 2, 4, 5, 3, 2, 3, 5, 1, 4, 4, 4, 5, 3, 2, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 5, 5, 5, 5, 2, 5, 5, 5, 3, 4, 5, 3, 3, 4, 1, 5, 4, 4, 4, 3, 1, 3, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 2, 2, 5, 3, 4, 4, 5, 3, 4, 3, 3, 4, 3, 1, 4, 2, 4, 4, 5, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 5, 4, 3, 4, 2, 4, 1, 3, 4, 3, 4, 4, 5, 5, 3, 3, 3, 5, 2, 3, 4, 3, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 5, 2, 5, 4, 3, 4, 4, 4, 5, 1, 3, 3, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 1, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 5, 2, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5, 2, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 2, 2, 3, 3, 4, 4, 3, 3, 4, 2, 5, 2, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 5, 5, 3, 4, 1, 4, 4, 3, 3, 3, 3, 5, 4, 2, 3, 5, 5, 4, 3, 1, 4, 4, 4, 3, 3, 1, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 2, 3, 1, 2, 2, 2, 4, 4, 3, 2, 4, 1, 4, 4, 1, 5, 3, 3, 5, 5, 3, 5, 4, 5, 3, 2, 4, 3, 5, 3, 3, 3, 1, 4, 4, 5, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 2, 3, 3, 1, 4, 2, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 2, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 2, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 1, 5, 4, 4, 4, 4], "1360": [4, 5, 3, 3, 1, 5, 4, 4, 3, 4, 5, 4, 3, 3, 2, 3, 5, 4, 5, 3, 2, 4, 5, 1, 2, 5, 3, 4, 4, 2, 4, 5, 3, 5, 5, 1, 1, 5, 2, 3, 2, 4, 2, 4, 4, 4, 2, 3, 5, 5, 4, 4, 2, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 1, 5, 5, 4, 4, 5, 4, 2, 5, 1, 4, 1], "5790": [4, 5, 3, 5, 5, 4, 3, 4, 4, 2, 4, 3, 2, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 3, 4, 1, 4, 3, 1, 4, 5, 3, 2, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 2, 3, 5, 4, 5, 3, 5, 4, 3, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 2, 4, 4, 3], "822": [3, 3, 3, 4, 3, 5, 4, 3, 5, 2, 5, 4, 5, 3, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 2, 5, 4, 3, 4, 2, 5, 4, 4, 1, 4, 4, 5, 5, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 2, 4, 4, 4, 2, 5, 3, 2, 3, 5, 3, 4, 2, 4, 5, 5, 3, 4, 5, 5, 5, 3, 4, 2, 2, 2, 5, 5, 4, 5, 5, 3, 4, 2, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 5, 4, 3, 3, 3, 4, 1, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 2, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 3, 4, 1, 1, 4, 4, 3, 4, 2, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 2, 3, 5, 5, 4, 4, 3, 2, 3, 4, 2, 4, 4, 5, 5, 3, 5, 3], "3397": [5, 3, 4, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 3, 4, 3, 4, 2, 5, 4, 4, 5, 5, 4, 5, 2, 5], "4064": [4, 4, 3, 3, 2, 5, 2, 4, 5, 3, 5, 4, 5, 2, 3, 2, 2, 5, 1, 4, 5, 2, 2, 3, 3, 2, 5, 4, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 3, 2, 2, 5, 5, 5, 5, 4, 2, 3, 4, 4, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 2, 5, 5, 5, 3, 2, 5, 3, 3, 5, 5, 4, 3, 2, 2, 3, 5, 4, 4, 1, 3, 2, 5, 5, 3, 3, 2, 5, 5, 4, 5, 3, 3, 4, 5, 4, 2, 3, 4, 4, 1, 4, 3, 3, 3, 3, 4, 2, 2, 2, 4, 3, 4, 3, 3, 5, 3, 1, 4, 4, 5, 5, 2, 4, 2, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 1, 4, 3, 2, 3, 2, 1, 3, 3, 2, 2, 5, 5, 3, 3, 3, 2, 2, 2, 3, 4, 2, 4, 4, 4, 5, 2, 4, 4, 4, 5, 3, 4, 2, 5, 3, 4, 4, 2, 5, 3, 2, 3, 3, 5, 5, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 2, 2, 4, 2, 2, 3, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 2, 2, 3, 2, 3, 4, 3, 2, 2, 4, 3, 3, 5, 4, 3, 4, 1, 1, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 1, 4, 3, 2, 2, 5, 3, 2, 2, 4, 2, 2, 2, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 2, 5, 5, 2, 2, 2, 3, 4, 4, 2, 1, 4, 3, 3, 3, 5, 2, 3, 2, 1, 2, 4, 2, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 5, 3, 2, 2, 3, 3, 5, 3, 3, 5, 4, 3, 5, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 5, 3, 3, 3, 4, 2, 5, 2, 3, 4, 3, 2, 3, 1, 1, 1, 5, 2, 4, 3, 4, 4, 3, 3, 1, 2, 4, 2, 2, 3, 2, 3, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 1, 3, 4, 5, 3, 3, 2, 3, 3, 2, 4, 2, 3, 2, 2, 3, 5, 4, 3, 5, 4, 3, 2, 1, 4, 2, 1, 1, 4, 2, 2, 4, 5, 4, 5, 4, 1, 2, 2, 3, 5, 3, 5, 4, 3, 4, 2, 2, 5, 2, 3, 3, 4, 5, 2, 5, 5, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 1, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 1, 4, 3, 4, 2, 4, 2, 3, 5, 2, 5, 4, 5, 2, 1, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 4, 5, 2, 5, 2, 3, 3, 1, 2, 5, 1, 3, 5, 3, 2, 2, 4, 5, 5, 2, 3, 3, 3, 4, 4, 2, 4, 1, 2, 3, 2, 3, 4, 5, 3, 1, 3, 3, 1, 3, 1, 2, 3, 3, 2, 4, 2, 4, 4, 3, 1, 2, 1, 5, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 5, 2, 3, 4, 4, 4, 2, 4, 4, 1, 2, 2, 3, 4, 2, 3, 3, 2, 3, 2, 4, 2, 2, 4, 2, 3, 4, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 2, 2, 3, 3, 1, 3, 5, 3, 3, 1, 3, 5, 3, 5, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 4, 3, 2, 3, 3, 5, 3, 5, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 2, 3, 2, 3, 4, 2, 3, 4, 3, 5, 4, 3, 3, 4, 1, 3, 5, 2, 3, 2, 2, 1, 3, 5, 3, 5, 3, 2, 3, 1, 4, 3, 3, 1, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 5, 3, 2, 3, 2, 2, 5, 5, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 4, 4, 5, 3, 2, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 4, 1, 2, 2, 3, 4, 2, 4, 5, 5, 5, 5, 3, 3, 3, 2, 2, 4, 3, 5, 4, 5, 3, 3, 4, 5, 3, 3, 4, 2, 1, 2, 3, 3, 5, 1, 4, 3, 1, 2, 5, 3, 3, 5, 2, 1, 2, 5, 4, 3, 4, 5, 5, 5, 3, 4, 5, 1, 3, 2, 2, 2, 3, 5, 3, 3, 3, 3, 4, 5, 4, 2, 4, 3, 2, 2, 2, 4, 2, 4, 3, 2, 4, 3, 2, 1, 4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 3, 5, 3, 4, 2, 3, 3, 1, 1, 4, 4, 3, 2, 3], "1493": [4, 4, 5, 3, 3, 5, 4, 2, 5, 1, 5, 2, 3, 4, 4, 4], "1148": [5, 5, 5, 4, 1, 4, 5, 3, 5, 2, 5, 5, 5, 5, 5, 4, 1, 2, 5, 4, 2, 5, 4, 5, 4, 5, 2, 3, 2, 3, 2, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 4, 2, 5, 3, 4], "1479": [4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 3, 5, 2, 5, 3, 5, 3, 5, 5], "5329": [4, 4, 4, 5, 5, 5, 4, 5, 2, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 1, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 4, 2, 3, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 3, 4, 5, 2, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 5, 4, 1, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 1, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 5, 3, 5, 4, 5, 5, 5, 5, 2, 4, 4, 3, 4, 4, 2, 5, 4, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 2, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 1, 3, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5], "5902": [2, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 2, 4, 2, 3, 5, 2, 2, 4, 3, 1, 3, 4, 3, 4, 5, 3, 4, 5, 4, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 5, 2, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 1, 5, 5, 4, 3, 4], "2466": [3, 5, 5, 4, 3, 3, 1, 4, 2, 1, 5, 5, 4, 5, 2, 4, 1, 5, 5, 3, 2, 1, 5, 5, 5, 2, 2, 2, 2, 4, 5, 3, 4, 2, 3, 2, 2, 5, 3, 4, 5, 2, 4, 1, 1, 4, 4, 2, 4, 4, 4, 1, 3, 2, 5, 4, 3, 3, 5, 2, 5, 2, 2, 4, 1, 2, 2, 2, 4, 4, 3, 4, 2, 3, 2, 4, 4, 2, 2, 3, 3, 1, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 1, 1, 5, 1, 2, 1, 1, 4, 3, 2, 3, 3, 1, 1, 5, 1, 3, 3, 4, 3, 4, 2, 3, 5, 4, 4, 5, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 1, 4, 3, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 4, 2, 5, 5, 2, 4, 4, 4, 4, 1, 2, 4, 3, 3, 4, 3, 3, 4, 4, 3, 2, 5, 1, 3, 4, 4, 4], "1743": [4, 4, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 1, 3, 5], "2201": [5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 5, 3], "725": [4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 2, 5, 5, 5, 5, 4, 5, 3, 5, 3, 1, 4, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 2, 4, 5, 4, 5, 3, 4, 3, 4, 5, 5, 5, 4, 4], "4374": [4, 4, 4, 5, 3, 5, 5, 3, 5, 5, 1, 5, 4, 5, 5, 5, 4, 5, 1, 4, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 3, 5, 3, 4, 3, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 4, 3, 5, 5, 4], "1571": [3, 4, 4, 4, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 3, 5, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 3, 5, 3, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4], "736": [5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 2, 5, 4, 5, 1, 2, 4, 5, 1, 4, 4, 4, 4, 2, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4], "3732": [4, 4, 2, 4, 4, 4, 2, 3, 2, 4, 5, 5, 2, 2, 1, 4, 2, 4, 1, 5, 4, 1, 1, 5, 5, 5, 5, 4, 4, 4, 5, 2, 4, 5, 3, 5, 5, 4, 1, 4, 1, 4, 5, 3, 3, 3, 5, 5, 5, 4, 2, 2, 4, 5, 5, 5, 1, 3, 2, 4, 4, 5, 3, 5, 1, 5, 1, 3, 3, 3, 2, 4, 2, 3, 3, 5, 5, 4, 2, 5, 3, 1, 5, 4, 3, 2, 3, 2, 2, 4, 2, 5, 5, 3, 4, 4, 2, 1, 3, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 1, 4, 4, 3, 1, 3, 4, 1, 4, 4, 3, 4, 2, 3, 4, 1, 3, 1, 2, 3, 2, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 1, 3, 4, 3, 2, 2, 1, 1, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 4, 1, 4, 3, 4, 4, 4, 3, 4, 2, 3, 2, 3, 2, 1, 2, 4, 5, 2, 4, 4, 4, 3, 5, 4, 5, 2, 5, 5], "900": [5, 5, 3, 5, 4, 5, 3, 3, 4, 4, 3], "2142": [4, 5, 5, 2, 4, 3, 3, 5, 2, 4, 4, 2, 5, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 2, 2, 4, 5, 3, 2, 5, 3, 4, 3, 3, 3, 5, 4, 4, 4, 2, 4, 3, 5, 3, 4, 3, 4, 4, 5, 3, 4, 5, 4, 4, 2, 5, 3, 3, 3, 2, 4, 4, 2], "1709": [5, 2, 5, 4, 3, 5, 3, 5, 5, 5, 2, 3, 5, 2, 3, 3, 1, 3, 4, 5, 2, 4, 4, 5, 5, 3, 5, 3, 1, 4, 3, 3, 5, 2, 5, 5, 5, 4, 4, 5, 3, 2, 4, 5, 5, 2, 3, 5, 4, 5, 4, 3, 1, 2, 3, 5, 5, 1, 4, 4, 4, 5, 2, 3, 3, 3, 3, 4, 2, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 3, 3, 2, 3, 4, 5, 5, 1, 5, 4, 5, 5, 3, 1, 2, 4, 5, 4, 3, 2, 5, 1, 1, 4, 3, 5, 5, 3, 3, 5, 4, 3, 3, 5, 2, 4, 5, 4, 1, 4, 5, 5, 3, 5, 4, 3, 4, 5, 5, 5, 4, 5, 2, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 1, 3, 2, 2, 2, 5, 5, 2, 5, 3, 3, 1, 2, 3, 3, 5, 5, 1, 3, 4, 2, 5, 2, 3, 1, 3, 2, 5, 4, 5, 4, 5, 5, 5, 2, 5, 5, 4, 4, 2, 5], "1220": [4, 4, 2, 3, 5, 4, 3, 3, 4, 3, 4, 3, 5, 4, 2, 2, 4, 5, 4, 2, 4, 4, 2, 3, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 2, 4, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 2, 3, 3, 2, 3, 5, 4, 3, 5, 2, 4, 3, 3, 2, 4, 5, 4, 4, 3, 2, 4, 3, 4, 3, 2, 3, 1, 4, 4, 4, 5, 1, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 2, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3, 2, 3, 4, 5, 2, 5, 3, 3, 4, 3, 4, 3, 4, 3, 1, 3, 3, 5, 4, 4, 2, 2, 2, 4, 5, 4, 2, 4, 2, 4, 4, 2, 3, 3, 3, 2, 2, 4, 3, 3, 4, 1, 4, 3, 4, 3], "5597": [5, 5, 4, 5, 1, 3, 5, 3, 5, 1, 1, 1, 5, 4, 1, 1, 1, 1, 3, 5, 5, 2, 1, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 2, 5, 5, 5, 5, 5, 3, 1, 5, 5, 5, 3, 1, 2, 5, 1, 5, 5, 4, 5, 1, 5, 3, 4, 1, 1, 1, 2, 1, 2, 1, 5, 1, 1, 5, 5, 3, 3, 3, 5, 4, 5, 4, 4, 3, 3, 4, 4, 2, 5, 2, 4, 2, 5, 4, 2, 3, 1, 5, 2, 5, 4, 5, 1, 3, 3, 5, 3, 1, 4, 5, 1, 5, 1, 3, 1, 3, 2, 1, 4, 4, 3, 2, 1, 1, 1, 2, 4, 5, 5, 5, 1, 1, 1, 1, 4, 3, 1, 4, 1, 5, 3, 2, 4, 4, 1, 5, 2, 4, 5, 4, 1, 5, 5, 5, 4, 1, 4, 3, 5, 3, 2, 1, 5, 1, 1, 5, 1, 1, 5, 2, 1, 1, 2, 2, 1, 2, 5, 4, 2, 5, 1, 5, 5, 4, 5, 5, 4, 1, 2, 2, 5, 3, 5], "3145": [3, 3, 5, 5, 3, 3, 4, 5, 5, 4, 5, 5, 2, 3, 5, 4, 3, 2, 4, 5, 5, 4, 5, 3, 4, 4, 5, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 3, 5, 4, 2, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 2, 2, 5, 5, 5, 4, 3, 3, 5, 3, 3, 3, 5, 4, 1, 2, 2, 3, 4, 5, 1, 2, 5, 2, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 2, 5], "5919": [1, 5, 2, 3, 2, 3, 2, 4, 4, 3, 4], "4161": [2, 5, 2, 3, 5, 5, 4, 4, 3, 5, 5, 1, 5, 1, 1, 3, 3, 2, 3, 3, 5, 5, 1, 1, 3, 2, 2, 5, 5, 1, 5, 3, 1, 1, 1, 4, 2, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 3, 5, 3, 4, 1, 1, 2, 3, 1, 3, 4, 3, 2, 2, 1, 1, 1, 4, 2, 2, 4, 2, 2, 5, 2, 3, 5, 1, 3, 2, 3, 3, 1, 3, 1, 1, 3, 2, 2, 3, 1, 1, 3, 4, 4, 3, 5, 2, 2, 2, 1, 2, 4, 5, 2, 3, 1, 3, 3, 3, 1, 1, 2, 3, 5, 3, 4, 1, 5, 2, 5, 1, 2, 5, 3, 1, 1, 1, 2, 4, 2, 5, 3, 3, 3, 2, 3, 5, 2, 4, 1, 5, 3, 3, 2, 4, 1, 2, 2, 4, 1, 1, 2, 1, 3, 3, 5, 2, 4, 1, 2, 3, 1, 3, 2, 2, 3, 1, 4, 5, 3, 2, 3, 4, 3, 2, 3, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 5, 3, 2, 1, 5, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 2, 1, 2, 4, 3, 2, 1, 1, 2, 2, 4, 1, 2, 4, 2, 5, 3, 3, 2, 2, 2, 1, 5, 1, 1, 2, 2, 1, 2, 2, 1, 3, 2, 1, 3, 2, 3, 2, 5, 2, 3, 2, 1, 3, 3, 1, 3, 3, 3, 3, 2, 2, 3, 2, 3, 2, 4, 3, 2, 2, 4, 5, 3, 3, 3, 4, 5, 3, 3, 3, 2, 5, 4, 3, 4, 1, 2, 3, 2, 1, 4, 2, 4, 3, 1, 3, 2, 2, 2, 1, 3, 3, 4, 2, 5, 4, 3, 3, 2, 4, 1], "397": [4, 2, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 5, 2, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4], "5133": [5, 5, 5, 2, 1, 5, 5, 4, 5, 4, 5, 2, 2, 5, 2, 4, 3], "1491": [3, 4, 2, 3, 3, 5, 4, 4, 3, 4, 3, 3, 3, 5, 2, 5, 3, 5, 5, 4, 3, 3, 4, 4, 1, 4, 4, 3, 2, 3, 3, 4, 2, 4, 2, 4, 4, 5, 4, 3, 1, 3, 1, 3, 3, 3, 2, 3, 4, 4, 2, 4, 2, 3, 2, 1, 4, 3, 3, 2, 3, 4, 3, 1, 1, 5, 3, 4, 3, 2, 2, 3, 3, 4, 5, 1, 3, 4, 4, 5, 5, 4, 3, 2, 4, 3, 5, 4, 4, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 5, 2, 5, 2, 4, 5, 1, 2, 1, 2, 1, 3, 4, 4, 3, 4, 4, 2, 1, 3, 3, 4, 3, 4, 3, 4, 4, 2, 5, 4, 4, 4, 3, 1, 4, 2, 3, 4, 4, 5, 4, 2, 3, 4, 5, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 2, 4, 2, 1, 4, 5, 2, 4, 1, 3, 3, 4, 2, 5, 4, 1, 2, 2, 4, 4, 4, 3, 4, 4, 2, 3, 4], "992": [4, 2, 1, 2, 5, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 4], "4443": [4, 2, 1, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 2, 2, 2, 4, 5, 3, 3, 1, 2, 3, 2, 5, 4, 4, 3, 3, 1, 4, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 3, 4, 2, 3, 3, 1, 4, 3, 2, 3, 3, 4, 3, 5, 4, 4, 4, 1, 3, 3, 4, 3, 4], "2613": [4, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 3, 4], "3324": [5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "3195": [2, 1, 1, 3, 5, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 2, 3, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 2, 2, 1, 4, 3, 4, 4, 2, 2, 1, 4, 4, 1, 1, 4, 3, 2, 5, 4, 4, 3, 5, 3, 4, 3, 3, 5, 4, 5, 4, 5, 2, 4, 4, 1, 4, 5, 5, 3, 3, 5, 3, 4, 4, 4, 1, 4, 3, 4, 3, 5, 5, 4, 2, 4, 4, 4, 2, 4, 3, 5, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 5, 3, 1, 2, 4, 4, 2, 4, 4, 4, 4, 4, 3, 2, 4, 3, 3, 1, 2, 5, 3, 1, 3, 3, 4, 5, 2, 4, 4, 5, 1, 3, 2, 4, 2, 5, 1, 5, 3, 2, 4, 4, 3, 2, 2, 3, 2, 5, 3, 5, 2, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 5, 2, 4, 2, 3], "34": [4, 3, 3, 4, 5, 5, 1, 5, 4, 4, 5, 3, 5, 3, 5, 5, 4, 5, 1, 3, 5, 5, 2, 5, 4, 4, 4, 4, 3, 2, 2, 5, 5, 2, 4, 5, 5, 3, 3, 4, 5, 4, 5, 2, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 1, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 2, 3, 4, 4, 2, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 1, 1, 3, 4, 2, 3, 2, 3, 3, 1, 4, 5, 4, 4, 5, 2, 5, 4], "2700": [2, 4, 1, 5, 5, 3, 3, 2, 3, 2, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 3, 4, 3, 1, 4, 4, 4, 2, 4, 4, 5, 3, 5, 5, 5, 2, 3, 5, 2, 3, 5, 4, 2, 3, 4, 3, 4, 4, 2, 4, 3, 5, 2, 3, 4, 4, 1, 1, 3, 1, 4, 3, 2, 1, 4, 5, 5, 5, 1, 4, 5, 5, 3, 4, 3, 3, 5, 5, 2, 3, 3, 1, 1, 3, 2, 4, 5, 5, 3, 1, 5, 2, 3, 4, 2, 4, 3, 5, 3, 5, 4, 5, 4, 5, 1, 2, 3, 5, 4, 3, 4, 5, 4, 3, 4, 1, 1, 4, 3, 5, 5, 5, 1, 5, 2, 4, 3, 2, 2, 1, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 5, 4, 4, 2, 3, 2, 3, 2, 3, 4, 5, 5, 1, 5, 4, 4, 5, 1, 4, 3, 3, 4, 2, 1, 4, 3, 2, 1, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 5, 1, 4, 4, 5, 2, 2, 4, 4, 3, 1, 4, 5, 3, 3, 1, 3, 5, 3, 5, 3, 1, 5, 4, 5, 5, 3, 4, 3, 2], "1446": [5, 5, 4, 5, 5, 5, 1, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 3, 5, 5, 4, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 2, 5, 5, 5, 4, 5, 5, 2, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 2, 5, 4, 4, 5, 3, 5], "1150": [4, 3, 3, 4, 2, 4, 3, 1, 3, 3, 4, 2, 4, 2, 3, 4, 5, 3, 1, 3, 1, 3, 4, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 4, 2, 2, 5, 3, 4, 4, 3, 2, 3, 3, 2, 4, 3, 1, 3, 1, 2, 3, 2, 2, 1, 4, 3, 1, 4, 3, 2, 3, 4, 2, 2, 2, 3, 1, 3, 4, 2, 5, 3, 4, 5, 5, 2, 2, 1, 5, 3, 4, 1, 5, 3, 2, 2, 3, 2, 4, 1, 3, 2, 3, 2, 3, 4, 3, 3, 1, 4, 2, 5, 4, 5, 2, 3, 3, 4, 4, 4, 1, 4, 3, 3, 2, 3, 2, 3, 3, 2, 1, 2, 2, 2, 5, 3, 2, 3, 4, 4, 3, 3, 4, 5, 3, 2, 3, 4, 4, 1, 1, 2, 3, 2, 4, 1, 5, 1, 5, 4, 2, 3, 3, 3, 1, 3, 4, 3, 2, 2, 4, 5, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 4, 2, 2, 4, 3, 1, 3, 2, 2, 3, 2, 4, 3, 2, 3, 1, 3, 1, 3, 3, 3, 2, 4, 1, 2, 2, 1, 1, 2, 1, 3, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 4, 2, 3, 2, 3, 4, 2, 3, 2, 4, 3, 2, 3, 4, 3, 5, 1, 3, 4, 1, 1, 4, 3, 3, 4, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 5, 2, 2, 3, 3, 4, 4, 5, 1, 3, 1, 1, 1, 5, 5, 2, 4, 2, 3, 1, 1, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 3, 1, 3, 2, 2, 2, 1, 2, 4, 2, 1, 1, 2, 2, 3, 3, 2, 3, 1, 4, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 3, 4, 1, 1, 2, 2, 2, 2, 2, 3, 5, 2, 2, 2, 1, 1, 4, 4, 3, 3, 4, 2, 1, 2, 5, 2, 3, 2, 2, 3, 3, 3, 2, 2, 4, 4, 2, 3, 3, 3, 4, 4, 1, 3, 4, 3, 2, 3, 3, 2, 4, 3, 3, 4, 5, 3, 4, 3, 3, 3, 1, 2, 1, 3, 2, 2, 4, 3, 3, 4, 2, 2, 4, 5, 2, 2, 1, 4, 5, 2, 3, 2, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 3, 2, 4, 5, 1, 3, 3, 3, 3, 4, 3, 3, 2, 2, 1, 3, 2, 3, 3, 5, 3, 3, 3, 3, 1, 3, 4, 2, 2, 2, 2, 3, 3, 4, 5, 3, 2, 4, 5, 2, 2, 4, 1, 4, 5, 1, 2, 1, 2, 2, 4, 3, 3, 2, 4, 3, 5, 3, 1, 2, 2, 2, 2, 1, 1, 2, 4, 3, 4, 2, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 2, 3, 3, 4, 2, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 1, 2, 2, 1, 3, 1, 3, 2, 3, 5, 4, 3, 3, 3, 4, 1, 2, 2, 2, 2, 3, 3, 2, 3, 2, 4, 2, 2, 1, 4, 2, 3, 2, 2, 3, 2, 3, 3, 4, 1, 2, 1, 3, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 4, 3, 1, 4, 4, 2, 2, 3, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 3, 4, 2, 1, 2, 3, 2, 3, 2, 2, 2, 4, 3, 1, 3, 1, 1, 3, 3, 2, 5, 5, 2, 3, 1, 3, 1, 3, 2, 2, 3, 1, 3, 3, 2, 5, 3, 3, 3, 2, 2, 2, 4, 4, 2, 1, 1, 3, 3, 5, 3, 2, 3, 4, 3, 3, 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 3, 2, 1, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 4, 2, 2, 3, 1, 3, 4, 3, 3, 3, 4, 1, 2, 4, 3, 3, 1, 1, 1, 3, 2, 3, 3, 3, 2, 2, 3, 2, 4, 2, 3, 3, 2, 2, 4, 2, 3, 4, 3, 3, 1, 3, 2, 2, 4, 2, 3, 3, 2, 4, 3, 1, 1, 2, 2, 2, 3, 5, 1, 5, 2, 4, 5, 1, 2, 3, 1, 1, 4, 3, 1, 2, 3, 2, 4, 3, 3, 2, 3, 1, 4, 1, 1, 4, 2, 1, 3, 3, 1, 3, 2, 1, 5, 3, 5, 4, 3, 1, 2, 3, 1, 1, 2, 2, 4, 1, 2, 3, 3, 5, 4, 2, 4, 1, 3, 2, 2, 3, 2, 2, 4, 3, 3, 2, 5, 3, 2, 2, 4, 4, 3, 4, 3, 3, 3, 4, 2, 2, 2, 4, 2, 4, 4, 4, 3, 3, 1, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 4, 2, 4, 2, 4, 3, 3, 2, 2, 3, 4, 3, 4, 3, 4, 3, 1, 2, 3, 5, 3, 3, 1, 1, 4, 1, 2, 3, 4, 4, 3, 4, 5, 2, 2, 3, 4, 1, 1, 1, 4, 1, 1, 2, 3, 1, 2, 1, 3, 1, 1, 3, 2, 3, 2, 3, 2, 5, 5, 3, 3, 2, 3, 3, 2, 4, 4, 2, 2, 4, 2, 3, 3, 3, 2, 4, 3, 3, 2, 1, 2, 2, 2, 1, 2, 2, 5, 1, 1, 3, 4, 2, 3, 2, 3, 4, 4, 4, 2, 3, 4, 4, 1, 3, 1, 4, 2, 4, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 3, 2, 4, 1, 3, 3, 2, 3, 2, 3, 1, 5, 2, 1, 3, 3, 3, 3, 3, 2, 4, 3, 4, 1, 3, 4, 2, 3, 2, 2, 4, 3, 3, 2, 3, 2, 4, 2, 3, 3, 2, 4, 2, 3, 4, 3, 1, 4, 3, 3, 4, 2, 4, 1, 2, 3, 3, 3, 3, 1, 4, 2, 4, 4, 2, 1, 2, 4, 3, 2, 4, 1, 5, 3, 2, 3, 2, 4, 2, 3, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 1, 3, 5, 3, 3, 2, 2, 2, 5, 2, 3, 3, 4, 3, 4, 3, 3, 5, 4, 1, 3, 1, 2, 5, 2, 4, 1, 3, 3, 2, 4, 1, 3, 2, 1, 2, 4, 4, 1, 2, 3, 3, 4, 3], "193": [4, 2, 5, 4, 3, 4, 3, 2, 3, 4, 5, 5, 4, 3, 4, 4, 3, 3, 4, 3, 5, 4, 2, 4, 5, 3, 5, 4, 3, 3, 2, 1, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 5, 3, 5, 3, 4, 2, 5, 5, 3, 3, 4, 3, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 2, 4, 4, 3, 4, 3, 2, 2, 3, 3, 5, 4, 3, 5, 4, 5, 5, 3, 3, 3, 4, 4, 2, 4, 4, 3, 4, 2, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 2, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 2, 5, 5, 3, 4, 4, 5, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 3, 3, 3, 4, 4, 1, 3, 3, 4], "4352": [3, 3, 2, 2, 3, 3, 3, 3, 5, 5, 5, 3, 3, 1, 2, 4, 4, 5, 3, 5, 3, 4, 4, 5, 3, 2, 3, 2, 5, 2, 5, 2, 5, 2, 3, 3, 2, 3, 3, 3, 2, 5, 3, 5, 3, 2, 5, 4, 4, 3, 3, 2, 5, 2, 3, 3, 4, 5, 2, 5, 3, 5, 2, 5, 3, 1, 3, 2, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 4, 5, 3, 2, 5, 5, 2, 4, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 3, 4, 4, 1, 2, 3, 5, 4, 3, 3, 5, 3, 2, 4, 4, 1, 5, 4, 2, 4, 4, 2, 2, 3, 4, 2, 3, 4, 4, 3, 4, 5, 3, 2, 4, 4, 5, 5, 3, 4, 5, 2, 5, 4, 1, 5, 4, 3, 5, 4, 3, 2, 3, 5, 3, 3, 3, 5, 5, 5, 3, 3, 4, 4, 1, 4, 5, 3, 5, 5, 3, 3, 5, 5, 2, 1, 3, 3, 5, 3, 4, 3, 5, 5, 2, 5, 3, 5, 3, 5, 5, 3, 5, 3, 5, 2, 1, 5, 4, 3, 4, 5, 3, 5, 2, 4, 2, 3, 5, 4, 5, 5, 2, 4, 3, 3, 5, 4, 5, 5, 3, 3, 2, 3, 4, 3, 5, 3, 2, 3, 5, 5, 4, 3, 4, 1, 3, 5, 3, 2, 3, 5, 3, 2, 4, 4, 5, 2, 3, 5, 3, 2, 3, 3, 2, 4, 5, 5, 4, 2, 2, 3, 3, 3, 3, 4, 5, 3, 1, 1, 5, 4, 2, 3, 2, 4, 2, 4, 1, 5, 2, 4, 3, 5, 4, 3, 4, 2, 2, 2, 3, 5, 5, 3, 2, 2, 3, 3, 5, 3, 3, 2, 4, 4, 3, 1, 3, 4, 4, 5, 3, 2, 5, 5, 2, 3, 3, 3, 4, 1, 5, 5, 4, 5, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 2, 4, 4, 4, 2, 3, 1, 3, 3, 3, 4, 3, 5, 5, 2, 2, 3, 4, 4, 5, 3, 4, 4, 2, 1, 5, 4, 4, 5, 2, 4, 3, 3], "3934": [5, 2, 2, 2, 2, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 5, 4, 3, 3, 3, 2, 3, 2, 3, 2, 3, 4, 3, 3, 4, 2, 5, 3, 3, 2, 2, 4, 3, 2, 2, 4, 4, 3, 4, 3, 1, 5, 3, 2, 3, 2, 3, 3, 4, 3, 2, 5, 5, 5, 4, 3, 3, 3, 1, 4, 3, 3, 2, 3, 2, 3, 4, 2, 3, 3, 5, 3, 2, 4, 2, 3, 2, 3, 3, 4, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 5, 3, 2, 3, 2, 2, 2, 4, 2, 3, 4, 4, 3, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 5, 2, 3, 3, 2, 2, 3, 2, 1, 3, 2, 3, 1, 2, 1, 3, 3, 1, 2, 2, 2, 4, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 1, 1, 3, 2, 2, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 1, 3, 4, 3, 5, 3, 4, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 4, 3, 2, 4, 3, 4, 5, 5, 4, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 4, 1, 4, 3, 2, 3, 3, 2, 1, 2, 3, 2, 4, 2, 2, 1, 4, 1, 3, 3, 4, 5, 1, 5, 3, 2, 4, 3, 3, 2, 2, 3, 5, 3, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 1, 2, 1, 3, 2, 1, 4, 2, 3, 1, 4, 2, 1, 3, 2, 2, 1, 2, 4, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 3, 5, 1, 2, 2, 3, 2, 2, 2, 3, 2, 4, 1, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 3, 3, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 2, 2, 5, 2, 2, 5, 4, 2, 4, 4, 3, 2, 3, 2, 1, 5, 3, 2, 3, 1, 2, 1, 2, 3, 2, 3, 4, 3, 3, 1, 2, 2, 3, 3, 2, 2, 3, 1, 2, 2, 4, 3, 2, 2, 4, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 2, 1, 2, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 1, 4, 2, 3, 3, 4, 2, 2, 3, 2, 5, 5, 4, 3, 2, 2, 2, 3, 2, 2, 4, 4, 3, 2, 3, 5, 2, 2, 4, 4, 3, 2, 3, 3, 3], "5604": [3, 3, 3, 3, 3, 5, 3, 4, 5, 3, 3, 5, 4, 5, 4, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 1, 3, 1, 4, 3, 1, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 3, 2, 3, 3, 2, 3, 5, 3, 3, 4, 5, 3, 5, 3, 5, 3, 3, 5, 4, 4, 4, 1, 4, 4, 4, 2, 2, 3, 3, 4, 4, 2, 5, 4, 3, 3, 4, 2, 3, 4, 4, 3, 3, 3, 1, 4, 5, 5, 5, 3, 4, 4, 3, 5, 4, 2, 4, 4, 3, 3, 3, 4, 5, 2, 5, 4, 4, 5, 2, 3, 4, 3, 4, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 3, 4, 5, 5, 2, 2, 4, 5, 5, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 3, 3, 4, 3, 2, 3, 5, 4, 4, 5, 5, 3, 4, 3, 3, 5, 3, 2, 4, 4, 2, 4, 5, 4, 3, 4, 3, 4, 3, 2, 5, 5, 5, 4, 2, 3, 3, 4, 5, 3, 2, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4], "4623": [3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 2], "762": [4, 4, 4, 5, 2, 4, 4, 3, 2, 3, 4, 5, 5, 5, 5, 3, 5, 3, 3, 2, 2, 4, 3, 4, 1, 3, 5, 3, 5, 3, 3, 5, 4, 4, 5, 5, 4], "239": [5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 3, 4, 4, 3, 5, 5, 5, 2, 3, 1, 2, 5, 4, 1, 4, 3, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5], "1619": [4, 4, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 2, 3, 3, 4], "5125": [5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 1, 4, 5, 4, 4, 4, 5, 5, 1, 5, 5, 5, 3, 5, 5, 3, 5], "595": [4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 3, 5, 3, 4, 2, 4, 4, 4, 3, 4, 5, 3, 3, 5, 4, 5, 3, 3, 3, 5, 5, 5, 3, 4, 4, 4, 5, 3, 3, 5, 3, 4, 3, 4, 5, 3, 5, 4, 4, 4, 3, 5, 4, 2, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 3, 5, 5, 3, 3, 4, 5, 2, 4, 3, 4], "4218": [2, 5, 4, 4, 5, 1, 4, 4, 4, 4, 3, 4, 5, 4, 1, 1, 2, 2, 4, 5, 2, 4, 3, 4, 4, 2, 5, 1, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 2, 4, 5, 3, 5, 4, 4, 3, 1, 2, 2, 5, 4, 4, 1, 1, 5, 5, 5, 4, 2, 5, 1, 3, 5, 2, 1, 3, 4, 5, 4, 1, 5, 5, 2, 4], "3505": [4, 2, 5, 1, 4, 1, 5, 1, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 2, 5, 4, 3, 5, 2, 3, 5, 1, 3, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 1, 3, 5, 4, 4, 3, 3, 5, 3, 3, 4, 2, 1, 5, 4, 1, 5, 4, 2, 4, 4, 5, 5, 4, 4, 5, 4, 3], "1048": [4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4], "3888": [4, 4, 5, 3, 5, 5, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 1, 4, 3, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 5, 4, 3, 5, 3, 5, 5, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 2, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 5, 4], "534": [3, 5, 5, 5, 3, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 3, 4, 5, 2, 5, 4, 4, 4, 3, 1, 4, 4, 4, 3, 4, 4, 3, 2, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 3, 4, 4, 5, 4, 3, 4, 2, 5, 3, 5, 5, 4, 3, 4, 4, 3, 5, 3, 3, 2, 5, 4, 1, 4, 5, 5, 4, 3, 3, 2, 5, 4, 1, 2, 3], "4699": [5, 4, 3, 3, 5, 4, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 5, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 1, 3, 3, 3, 4, 3, 2, 3, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 3, 2, 3, 3, 1, 1, 3, 4, 2, 4, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3], "4339": [5, 3, 1, 1, 1, 5, 3, 5, 4, 5, 3, 4, 4, 3, 4, 5, 3, 3, 5, 3, 3, 2, 2, 4, 4, 4, 4, 5, 3, 2, 4, 3, 3, 2, 5, 1], "1387": [3, 5, 4, 4, 4, 4, 2, 3, 5, 4, 4, 3, 3, 2, 3, 5, 5, 3, 2, 1, 2, 3, 4, 2, 3, 2, 4, 2, 2, 5, 4, 2, 5, 4, 3, 4, 5, 2, 5, 3, 4, 1, 4, 4, 5, 2, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 2, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 2, 4, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 5, 3, 5, 4, 5, 3, 3, 4, 4, 3, 5, 4, 5, 3, 2, 5, 3, 3, 3, 3, 4, 4, 5, 4, 4, 2, 5, 4, 5, 3, 3, 5, 4, 3, 5, 5, 3, 4, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 5, 4, 3, 3, 4, 2, 5, 3, 3, 4, 3, 2, 2, 3, 2, 1, 3, 2, 5, 3, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 2, 4, 3, 4, 4, 4, 5, 2, 4, 3, 4, 3, 5, 4], "480": [5, 2, 3, 4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 3, 4, 1, 5, 3, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 2, 3, 4, 4, 5, 2, 4, 5, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4], "5939": [4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 5, 3, 4, 5, 2, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 2, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 4, 3, 4, 4, 1, 1, 5, 5, 5, 3, 5, 4, 4], "505": [3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 2, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5], "2904": [5, 5, 1, 5, 4, 3, 3, 3, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 2, 5, 4, 4, 5, 4, 1, 5, 5, 5, 4], "4413": [5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4], "5969": [4, 4, 5, 3, 3, 5, 4, 3, 4, 2, 3, 4, 5, 2, 3, 3, 3, 2, 5, 3, 3, 5, 3, 4, 5, 4, 3, 2, 1, 4, 3, 5, 2, 3, 4, 4, 3, 4, 3, 5, 3, 5, 3, 3, 4, 2, 5, 5, 3, 2, 4, 4, 4, 5, 2, 4, 1, 3, 3, 2, 3, 5, 5, 4, 4, 2, 5, 2, 5, 3, 5, 3, 4, 4, 4, 2, 1], "4333": [3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 3, 5, 4, 5, 5, 2, 4, 5, 3, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 2, 5, 5, 4, 2, 2, 2, 2, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 1, 3, 5, 5, 4, 5, 5, 4, 3, 1, 3, 3, 4, 4, 3, 4, 5, 2, 3, 5, 5, 5, 5, 2, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 4, 4, 3, 5, 5, 3, 4, 5, 3, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5], "2482": [3, 4, 5, 3, 3, 5, 5, 3, 4, 1, 1, 3, 3, 1, 4, 4, 5, 4, 3, 5, 5, 3, 5, 2, 4, 2, 1, 4, 4, 2], "2642": [4, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3], "4437": [3, 4, 3, 4, 3, 2, 4, 5, 4, 2, 3, 2, 5, 4, 4, 3, 4, 2, 2, 5, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 2, 2, 3, 2, 1, 5, 1, 2, 4, 3, 1, 1, 1, 4, 4, 4, 4, 3, 5, 2, 3, 4, 3, 1, 3, 1, 4, 4, 3, 4, 3, 2, 1, 1, 3, 2, 1, 3, 3, 3, 5, 1, 5, 2, 4, 2, 5, 2, 4, 1, 2, 4, 3, 4, 2, 4, 2, 4, 4, 2, 1, 3, 3, 2, 5, 3, 1, 4, 3, 4, 2, 3, 3, 1, 4, 4, 3, 4, 4, 2, 2, 1, 1, 1, 3, 2, 2, 3, 3, 1, 4, 4, 4, 5, 3, 4, 5, 3, 3, 3, 1, 2, 4, 3, 4, 4, 1, 4, 4, 2, 3, 1, 2, 4, 3, 4, 3, 4, 3, 3, 1, 3, 2, 2, 3, 4, 3, 4, 3, 5, 1, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4], "5117": [1, 3, 2, 3, 4], "2696": [4, 2, 4, 4, 2, 4, 5, 4, 3, 1, 3, 4, 3], "4913": [5, 3, 1, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 2, 3, 5, 4, 3, 5, 3, 4, 4, 4, 5, 5, 2, 3, 5, 4], "5487": [5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 2, 5, 5, 5, 4, 5], "423": [2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 4, 2, 4, 2], "4373": [4, 5, 3, 2, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 5, 5, 3, 4, 5, 2, 4, 4, 5, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 3, 5, 3, 4, 5, 5, 5, 4, 3, 3, 5, 2, 3, 3, 4, 5, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 2, 5, 3, 5, 3, 5, 3, 4, 3, 3, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 2, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 3, 4, 3, 5, 1, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 5, 5, 5, 4, 5, 5, 4, 2, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 3, 5, 5, 3, 3, 5, 3, 5, 5, 5, 4, 3, 3, 4, 2, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 4, 2, 4, 5, 5, 4], "3765": [4, 4, 2, 4, 5, 3, 2, 4, 3, 4, 5, 5, 5, 5, 3], "1256": [5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 2, 2, 4], "530": [5, 5, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 2, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 5, 5, 3, 4, 4, 5, 2, 3, 4, 5, 3, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 2, 4, 4], "1271": [4, 5, 3, 4, 4, 2, 3, 5, 4, 4, 5, 2, 5, 4, 5, 1, 4, 5, 5, 5, 2, 3, 5, 5, 5, 4, 4, 4, 1, 4, 3, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 5, 5, 2, 2, 4, 3, 4, 4, 5, 4, 2, 2, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5], "561": [5, 4, 4, 5, 5, 1, 5, 5, 5, 1, 2, 3, 4, 5, 5, 3], "1724": [4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 2, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 1, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 3, 5, 3, 3, 4, 4, 5, 5, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 5, 5, 4, 2, 3, 4, 4, 5], "6015": [5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 3, 4, 5, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 2, 3, 3, 2, 3, 5], "2944": [5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 2, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5], "3738": [5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5], "1897": [5, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 1, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 3, 3, 2, 4, 4, 3, 4, 5, 2, 5, 2, 4, 3, 4, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 1, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 2, 1, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 5, 3, 3, 4, 5, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 3, 5, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 3, 2, 3, 5, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 3, 3, 2, 3, 5, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 3, 5, 5, 3, 4, 3, 3, 3, 4, 5, 3, 5, 4, 5, 3, 5, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 4, 2, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 3, 5, 3, 4, 4, 4, 2, 3, 5, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 4, 5, 3, 3, 5, 4, 4, 5, 5, 3, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 3, 3, 5, 2, 5, 3, 4, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4], "3447": [4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 5, 4, 2, 3, 3, 5, 3, 1, 5, 4, 2, 5, 5, 4, 5, 1, 3, 5, 4, 3, 3, 5, 4, 4, 5, 3, 4, 3, 5, 5, 3, 4, 4], "4100": [5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3], "5878": [1, 1, 1, 3, 3, 3, 5, 3, 2, 4, 1, 4, 3, 4, 5, 4, 1, 1, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 1, 5, 3, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 3, 5, 5, 3, 4, 3, 1, 5, 4, 5, 1, 5, 5, 4, 5, 4, 3, 1, 2, 5, 3, 5, 1, 1, 4, 1, 5, 2, 4, 3, 4, 3, 4, 5, 4, 3, 5, 2, 5, 1, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 2, 5, 2, 4, 3, 5, 5, 5, 3, 1, 5, 5, 4, 1, 2, 4, 3, 5, 5, 4, 5, 2, 5, 5, 5, 1, 5, 4, 1, 4, 5, 5, 3, 1, 3, 5, 3, 5, 1, 5, 5, 5, 1, 5, 4, 5, 3, 5, 3, 3, 3, 3, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 3, 5, 3, 5, 3, 5, 5, 5, 5, 4, 1, 3, 5, 5, 2, 5, 5, 2, 3, 1, 1, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 1, 5, 2, 4, 1, 5, 1, 3, 4, 3, 5, 1, 3, 3, 3, 3, 1, 3, 5, 5, 4, 5, 5, 3, 5, 3, 2, 5, 4, 3, 5, 5, 5, 3, 5, 4, 1, 4, 5, 3, 5, 4, 3, 4, 2, 5, 3, 5, 4, 5, 5, 1, 1, 5, 5, 5, 5, 3, 4, 4, 5, 3, 5, 1, 5, 3, 3, 5, 4, 2, 5, 1, 5, 5, 1, 5, 5, 4, 5, 3, 1, 4, 1, 4, 5, 3, 3, 5, 1, 4, 3, 1, 4, 4, 4, 4, 4, 3, 5, 1, 5, 5, 4, 3, 4, 3, 5, 5, 4, 3, 4, 3, 5, 5, 5, 5, 2, 1, 5, 4, 5, 4, 4, 3, 3, 1, 5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 1, 2, 4, 5, 5, 5, 3, 1, 4, 5, 3, 4, 5, 5, 1, 4, 5, 1, 5, 4, 1, 1, 3, 5, 1, 5, 1, 2, 5, 1, 1, 4, 5, 5, 5, 4, 5, 1, 1, 4, 3, 5, 5, 1, 4, 1, 3, 4, 4, 1, 4, 4, 5, 3, 4, 3, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 4, 1, 5, 5, 5, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 2, 5, 4, 3, 2, 3, 4, 5, 5, 1, 1, 4, 1, 5, 4, 4, 5, 5, 3, 3, 1, 4], "4919": [4, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 2, 4, 4, 4], "1975": [5, 5, 4, 5, 4, 2, 5, 3, 3, 5, 5, 2, 1, 5, 4, 5, 4, 4, 4, 2, 4, 1, 5, 2, 5, 4, 4, 1, 1, 5, 3, 5, 5, 5, 4, 5, 5, 3, 4], "3627": [5, 5, 1, 3, 2, 2, 3, 4, 3, 2, 3, 4, 5, 2, 3, 5, 3, 3, 4, 3, 4, 3, 5, 2, 5, 2, 5, 4, 5, 4, 4], "655": [3, 3, 3, 4, 2, 1, 5, 2, 2, 4, 4, 3, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 3, 3, 4, 3, 4, 2, 4, 5, 2, 1, 4, 4, 1, 2, 3, 1, 4, 3, 4, 3, 3, 5, 2, 4, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 3, 2, 3, 1, 2, 4, 2, 1, 4, 1, 4, 4, 3, 1, 4, 2, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 4, 3, 4, 1, 2, 1, 3, 1, 2, 1, 4, 4, 4, 3, 1, 4, 4, 3, 1, 2, 2, 3, 1, 1, 3, 2, 2, 3, 4, 2, 3, 4, 1, 1, 2, 3, 3, 5, 4, 2, 3, 3, 2, 3, 4, 2, 3, 3, 5, 3, 3, 2, 3, 1, 2, 4, 1, 4, 3, 2, 2, 3, 3, 4, 4, 2, 4, 4, 4, 4, 2, 2, 5, 3, 3, 4, 3, 2, 5, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 1, 2, 3, 4, 4, 3, 3, 3, 4, 1, 4, 3, 4, 2, 2, 2, 4, 2, 3, 4, 4, 3, 2, 1, 4, 2, 3, 2, 3, 3, 2, 2, 4, 2, 3, 2, 5, 4, 5, 3, 1, 3, 4, 2, 1, 3, 2, 1, 3, 2, 4, 5, 2, 1, 1, 1, 3, 4, 2, 2, 3, 2, 3, 4, 2, 3, 3, 4, 2, 3, 1, 2, 1, 3, 2, 3, 4, 3, 2, 2, 4, 3, 4, 2, 4, 4, 3, 1, 5, 2, 1, 4, 2, 2, 2, 3, 3, 4, 3, 3, 3, 3, 1, 3, 1, 3, 3, 2, 3, 2, 1, 2, 3, 3, 1, 3, 5, 4, 3, 3, 1, 1, 5, 2, 3, 4, 2, 4, 2, 3, 2, 5, 4, 1, 4, 4, 3, 5, 3, 2, 1, 4, 2, 1, 3, 2, 2, 1, 4, 4, 3, 3, 2, 1, 2, 2, 2, 2, 4, 4, 2, 3, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 5], "3651": [5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 2, 2, 1, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 4, 2, 4, 2, 5, 4, 4, 4, 2, 4, 4, 2, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 2, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 2, 4, 5, 3, 3, 2, 5, 5, 3, 4, 4, 4, 2, 3, 2, 1, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 5, 3, 4, 4, 2, 5, 3, 3, 5, 3, 3, 4, 5, 4, 5, 4, 5, 5, 5, 1, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 2, 1, 1, 5, 5, 2, 5, 4, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 2], "1508": [2, 3, 2, 4, 1, 3, 2, 3, 5, 3, 5, 1, 3, 1, 2, 4, 5, 5, 4], "3028": [3, 2, 4, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 2, 2, 3, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 3, 5, 4, 5, 5, 3, 2, 3, 4, 5, 5, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 2, 5, 5, 4, 3], "4984": [3, 4, 3, 4, 5, 4, 4, 4, 2, 5, 3, 5, 5, 4, 1, 5, 2, 3, 2, 2, 4, 3, 3, 4, 3, 4, 3, 5, 2, 4, 3, 2, 2, 5, 2, 3, 4, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 3, 5, 4, 5, 5, 5, 1, 5, 3, 4, 3, 3, 3, 2, 1, 3, 3, 4, 4, 3, 4, 3, 1, 4, 3, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 3, 4, 4, 3, 1, 3, 5, 4, 1, 4, 4, 4, 4, 4, 5, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 1, 2, 3, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 2, 4, 2, 4, 2, 5, 5, 3, 3, 3, 3, 3, 4, 3, 4, 4, 2, 4, 2, 4, 3, 2, 5, 3, 3, 3, 4, 1, 3, 3, 2, 3, 3, 4, 5, 4, 4, 3, 4, 3, 2, 4, 2, 3, 3], "2313": [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 5, 5, 4, 5], "235": [4, 5, 5, 4, 4, 2, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 2, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 3, 3, 3, 3, 5, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 4, 2, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 2, 4, 5, 4, 2, 4, 4, 4, 5, 5, 3, 5, 5, 5, 2, 5, 2, 4, 4, 4, 4, 1, 5, 5, 5, 4, 5, 3, 5, 3, 5, 4, 5, 3, 4, 5, 3, 5, 4, 4, 5, 3, 3, 3, 3, 4, 5, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 2, 5, 5, 4, 4, 5, 4, 4, 3, 2, 4, 1, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 1, 2, 5, 4, 3, 3, 5, 4, 5, 3, 5, 5, 3, 4, 4, 4, 2, 4, 4, 2, 2, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 3, 2, 4, 5, 5, 3, 5, 4, 5, 5, 3, 5, 5, 4, 2, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 3, 3, 4, 5, 4, 5, 2, 5, 3, 4, 5, 5, 2, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 2, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 2, 4, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4], "1086": [4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 3, 4, 5, 3, 5, 2, 3, 4, 3, 4, 5, 4, 4, 2, 3, 2, 5, 5, 2, 5, 5, 4, 4, 3, 2, 4, 5, 3, 5, 3, 2, 4, 4, 4, 4, 4, 3, 3, 5, 5, 3, 5, 2, 3, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 2, 4, 4, 4, 3, 5, 5, 5, 4, 2, 4, 4, 4, 4, 4, 5, 2, 4, 5, 4, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 1, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 2, 3, 4, 4, 2, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 2, 5, 3, 4, 4, 2, 4], "2906": [3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3], "2180": [4, 5, 1, 5, 1, 5, 1, 4, 5, 4, 4, 5, 2, 1, 1, 5, 4, 3, 2, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 4, 1, 2, 5, 5, 1, 4, 3, 3, 1, 2, 5, 3, 4, 4, 3, 2, 2, 3, 4, 3, 3, 1, 3, 5, 3, 3, 2, 2, 5, 2, 4, 3, 2, 3, 3, 2, 4, 5, 3, 3, 3, 2, 2, 2, 4, 1, 1, 1, 2, 4, 3, 1, 2, 1, 1, 5, 4, 2, 4, 3, 2, 3, 3, 4, 1, 4, 2, 2, 5, 3, 2, 3, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 4, 4, 5, 3, 3, 5, 4, 5, 3, 1, 4, 1, 3, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 4, 2, 1, 3, 1, 3, 4, 4, 3, 2, 1, 3, 3, 2, 3, 2, 4, 5, 2, 4, 3, 3, 2, 2, 1, 5, 3, 5, 3, 3, 4, 1, 2, 1, 2, 4, 4, 1, 4, 2, 2, 2, 5, 5, 3, 3, 3, 3, 5, 3, 5, 4, 5, 2, 3, 4, 2, 3, 1, 1, 5, 5, 3, 2, 3, 3, 1, 2, 1, 2, 5, 2, 3, 3, 2, 5, 5, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 4, 2, 5, 2, 2, 2, 1, 4, 4, 1, 2, 1, 1, 5, 4, 2, 3, 1, 3, 5, 5, 2, 3, 2, 3, 5, 4, 4, 4, 1, 4, 4, 2, 2, 1, 2, 1, 3, 5, 3, 2, 5, 5, 2, 3, 4, 2, 5, 4, 3, 1, 4, 5, 2, 3, 3, 3, 3, 5, 1, 2, 1, 3, 3, 1, 3, 3, 2, 2, 2, 2, 3, 4, 1, 2, 3, 2, 3, 1, 1, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 5, 1, 2, 5, 5, 5, 4, 2, 5, 5, 2, 3, 2, 1, 3, 5, 2, 5, 1, 5, 2, 4, 5, 2, 3, 2, 2, 2, 5, 4, 3, 1, 4, 1, 5, 4, 1, 5, 1, 4, 3, 3, 2], "3139": [3, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 5, 5, 5, 5, 4, 5, 3, 4, 3, 3, 5, 4, 5, 2, 1, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4], "2520": [5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 1, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3], "198": [5, 3, 4, 2, 3, 3, 2, 5, 3, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 1, 1, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 3, 5, 4, 5, 4, 3, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 2, 4, 3, 5, 5, 5, 3, 4, 5, 5, 4, 2, 4, 3, 5, 4, 4, 4, 5, 3, 4, 1, 3, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 4, 3, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 3, 4, 2, 5, 2, 5, 3, 3, 2, 4, 2, 5, 1, 4, 3, 3, 1, 2, 5, 5, 3, 3, 2, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 4, 3, 2, 4, 4, 2, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 2, 2, 4, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 2, 5, 2, 3, 3, 3, 2, 5, 2, 4, 4, 5, 4, 4, 2, 5, 3, 5, 4, 3, 5, 4, 3, 5, 4, 3, 2], "582": [5, 3, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "5897": [4, 3, 5, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 2, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5], "1678": [4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 4, 4, 3, 5, 5, 3, 2, 4, 5, 3, 4, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 2, 4, 4, 2, 3, 5, 5, 2, 3, 4, 4, 3, 3, 3, 3, 5], "898": [5, 5, 5, 3, 1, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 1], "4169": [5, 4, 3, 3, 3, 1, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 2, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 3, 5, 3, 4, 2, 3, 3, 4, 4, 4, 4, 3, 5, 2, 2, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 2, 4, 2, 3, 2, 5, 3, 5, 5, 5, 4, 3, 3, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 5, 5, 5, 3, 2, 5, 4, 4, 3, 5, 2, 4, 5, 2, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 3, 5, 5, 4, 5, 2, 1, 1, 5, 1, 4, 3, 3, 4, 5, 3, 1, 2, 2, 5, 4, 4, 2, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 1, 1, 2, 2, 3, 4, 3, 5, 2, 2, 4, 3, 3, 5, 3, 3, 3, 5, 4, 5, 4, 5, 2, 5, 5, 5, 3, 5, 3, 3, 3, 3, 4, 3, 2, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 3, 4, 5, 3, 3, 5, 4, 5, 5, 4, 4, 3, 3, 3, 2, 5, 4, 2, 4, 5, 3, 4, 5, 3, 4, 4, 4, 5, 1, 4, 4, 3, 4, 2, 4, 2, 5, 3, 4, 3, 2, 3, 5, 4, 5, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 5, 4, 3, 3, 3, 2, 3, 3, 3, 3, 4, 1, 2, 4, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 5, 3, 2, 3, 4, 3, 5, 5, 4, 3, 3, 2, 1, 1, 1, 5, 3, 5, 4, 4, 3, 2, 3, 2, 3, 2, 5, 4, 4, 3, 4, 3, 3, 5, 3, 2, 4, 3, 3, 3, 3, 1, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 2, 3, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 5, 3, 3, 3, 4, 3, 2, 3, 1, 3, 2, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 2, 3, 4, 4, 3, 2, 4, 5, 4, 4, 5, 4, 4, 3, 3, 5, 5, 2, 4, 1, 5, 5, 3, 4, 4, 3, 3, 2, 3, 3, 5, 3, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 2, 4, 3, 5, 5, 4, 4, 3, 3, 3, 5, 2, 3, 4, 5, 3, 2, 1, 3, 4, 3, 4, 2, 4, 3, 3, 4, 3, 3, 2, 4, 4, 5, 4, 2, 5, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 5, 5, 2, 3, 4, 3, 4, 4, 2, 3, 5, 4, 3, 3, 4, 4, 4, 5, 3, 1, 5, 5, 5, 5, 4, 4, 2, 2, 4, 5, 3, 3, 5, 3, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 2, 2, 3, 4, 3, 5, 1, 4, 5, 3, 5, 2, 3, 5, 5, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 3, 5, 5, 3, 3, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 3, 3, 1, 3, 2, 2, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 1, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 2, 3, 2, 3, 4, 3, 5, 3, 5, 3, 4, 2, 4, 3, 1, 3, 5, 2, 5, 3, 5, 2, 4, 4, 5, 2, 4, 4, 3, 4, 2, 2, 2, 2, 3, 4, 2, 4, 3, 4, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 3, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 2, 4, 3, 3, 4, 3, 5, 5, 2, 2, 5, 4, 2, 3, 4, 2, 4, 4, 4, 4, 2, 4, 2, 5, 3, 3, 1, 2, 5, 4, 5, 4, 4, 5, 1, 3, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5, 2, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 4, 4, 2, 4, 3, 4, 2, 3, 3, 5, 5, 1, 3, 4, 3, 4, 3, 5, 4, 4, 2, 4, 5, 5, 3, 5, 3, 4, 2, 5, 4, 2, 4, 5, 1, 4, 5, 4, 3, 4, 3, 3, 3, 4, 2, 4, 5, 3, 5, 5, 4, 4, 2, 5, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5, 4, 5, 3, 4, 1, 4, 5, 3, 3, 5, 3, 4, 2, 2, 3, 3, 4, 5, 3, 3, 5, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 5, 4, 3, 5, 5, 5, 3, 3, 4, 4, 4, 2, 4, 4, 5, 2, 3, 4, 4, 1, 3, 1, 3, 2, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 2, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 2, 5, 1, 1, 3, 5, 4, 5, 3, 4, 1, 4, 5, 5, 3, 4, 5, 3, 3, 3, 3, 2, 5, 5, 4, 5, 5, 3, 4, 5, 3, 5, 3, 3, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 2, 3, 2, 1, 3, 5, 4, 5, 5, 5, 1, 4, 5, 5, 4, 3, 4, 4, 3, 5, 1, 4, 4, 5, 5, 4, 3, 2, 1, 5, 3, 4, 5, 5, 5, 3, 5, 3, 4, 5, 4, 2, 5, 3, 2, 4, 4, 4, 2, 3, 5, 5, 4, 3, 4, 3, 4, 5, 5, 3, 5, 5, 3, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 1, 3, 3, 4, 5, 4, 2, 4, 3, 3, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 5, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 3, 3, 4, 3, 5, 4, 3, 3, 3, 5, 3, 2, 4, 5, 4, 3, 5, 4, 2, 1, 4, 4, 1, 4, 3, 3, 4, 4, 5, 4, 2, 4, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 4, 5, 3, 4, 2, 3, 4, 2, 4, 4, 3, 3, 3, 5, 5, 2, 3, 3, 3, 5, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 2, 3, 5, 1, 4, 3, 5, 3, 3, 1, 3, 4, 2, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 2, 4, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 5, 3, 2, 5, 4, 4, 5, 3, 2, 4, 1, 4, 1, 2, 3, 4, 5, 4, 3, 3, 3, 3, 2, 4, 5, 5, 3, 3, 4, 3, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 2, 2, 4, 3, 3, 5, 3, 3, 3, 4, 3, 2, 5, 2, 2, 2, 3, 2, 5, 4, 2, 4, 2, 5, 2, 2, 3, 4, 2, 4, 3, 3, 4, 1, 4, 3, 3, 5, 4, 5, 3, 4, 2, 3, 4, 2, 5, 3, 5, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 2, 4, 3, 2, 2, 5, 5, 3, 2, 4, 3, 2, 1, 5, 3, 5, 3, 5, 4, 4, 4, 4, 3, 2, 5, 3, 3, 4, 3, 5, 2, 3, 2, 3, 3, 3, 3, 3, 5, 4, 5, 4, 3, 3, 5, 5, 5, 2, 3, 2, 2, 3, 5, 2, 3, 2, 3, 3, 3, 5, 5, 4, 4, 3, 4, 5, 4, 3, 3, 4, 5, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 5, 3, 4, 4, 2, 4, 5, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 5, 3, 3, 2, 3, 3, 3, 3, 5, 3, 2, 5, 4, 3, 4, 3, 5, 4, 3, 2, 4, 5, 2, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 1, 4, 3, 3, 3, 1, 2, 5, 5, 4, 4, 5, 1, 1, 1, 5, 2, 3, 4, 4, 3, 5, 5, 5, 5, 4, 3, 3, 4, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 5, 4, 3, 2, 3, 3, 2, 1, 5, 4, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 5, 1, 4, 4, 3, 3, 5, 2, 4, 2, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 3, 4, 2, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 4, 2, 3, 3, 4, 3, 5, 5, 3, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 4, 1, 4, 5, 4, 3, 3, 5, 5, 5, 3, 3, 2, 2, 4, 3, 3, 4, 2, 3, 4, 4, 3, 4, 3, 3, 2, 3, 3, 3, 4, 2, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 2, 2, 4, 3, 4, 5, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 2, 3, 5, 4, 5, 4, 4, 3, 5, 5, 2, 4, 4, 4, 4, 2, 3, 4, 4, 3, 5, 3, 4, 3, 3, 3, 5, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 3, 2, 5, 3, 3, 4, 3, 2, 1, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 2, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 5, 3, 5, 2, 5, 4, 4, 4, 4, 3, 5, 3, 2, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 4, 5, 2, 3, 3, 5, 5, 4, 2, 4, 2, 5, 3, 3, 5, 2, 4, 4, 3, 4, 2, 3, 3, 5, 4, 3, 4, 3, 5, 3, 4, 3, 4, 2, 4, 3, 5, 4, 2, 3, 5, 4, 3, 4, 5, 3, 5, 4, 4, 2, 5, 2, 4, 4, 3, 3, 4, 3, 3, 3, 3], "2683": [4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 1, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 2, 3, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 2, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 2, 5, 5, 4, 4, 5, 5, 5, 5], "3425": [4, 5, 3, 5, 2, 5, 3, 4, 3, 1, 4, 3, 5, 4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 2, 3, 1, 2, 5, 5, 5, 4, 1, 4, 3, 4, 4, 3, 5, 4, 5, 1, 5, 5, 2, 2, 4, 1, 3, 5, 4, 2, 4, 2, 5, 4, 2, 1, 4, 1, 4, 4, 2, 5, 5, 3, 4, 1, 5, 1, 4, 1, 5, 3, 4, 3, 5, 3, 4, 3, 1, 3, 4, 1, 2, 1, 5, 4, 3, 1, 4, 2, 3, 5, 3, 4, 2, 3, 5, 2, 2, 2, 4, 4, 3, 3, 5, 5, 4, 4, 2, 2, 4, 2, 5, 5, 2, 4, 1, 4, 4, 5, 5, 4, 2, 5, 5, 3, 2, 4, 3, 2, 5, 4, 1, 5, 4, 3, 5, 2, 1, 2, 5, 5, 1, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 5, 5, 2, 5, 4, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 5, 5, 2, 3, 5, 2, 5, 4, 5, 1, 5, 4, 4, 3, 4, 5, 5, 3, 3, 3, 3, 5, 4, 3, 4, 4, 4, 2, 4, 4, 3, 1, 1, 3, 2, 4, 4, 4, 4, 3, 2, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 1, 4, 2, 3, 4, 3, 5, 1, 3, 5, 4, 1, 4, 5, 3, 2, 2, 5, 5, 4, 3, 4, 3, 5, 3, 3, 3, 5, 5, 1, 2, 2, 3, 4, 4, 5, 5, 5, 3, 2, 3, 4, 4, 1, 3, 4, 5, 3, 2, 4, 2, 4, 4, 4, 2, 5, 4, 3, 1, 4, 2, 2, 5, 1, 4, 2, 4, 4, 3, 3, 4, 4, 2, 5, 5, 3, 5, 4, 3, 2, 1, 2, 3, 2, 5, 5, 3, 5, 1, 3, 4, 4, 3, 4, 3, 5, 5, 4, 3, 5, 3, 3, 5, 4, 4, 3, 3, 3, 2, 3, 2, 5, 4, 4, 2, 5, 5, 4, 5, 4, 2, 2, 4, 5, 3, 5, 3, 5, 3, 2, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 2, 5, 4, 4, 5, 1, 3, 4, 5, 4, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4], "2447": [3, 5, 5, 4, 5, 4, 5, 4, 3, 3, 2, 4, 2, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4], "4127": [4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 5, 5, 5, 3, 2, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 2, 4, 5, 4, 4, 2, 3, 4, 3, 4, 3, 4, 3, 5, 2, 2, 5, 5, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5], "3882": [4, 5, 3, 3, 4, 2, 1, 3, 3, 5, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 1, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 2, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 5, 3, 3, 3, 2, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 2, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 5], "295": [5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 3, 4, 5, 4, 4, 3, 2, 4, 5, 5, 4, 2, 5, 3, 4, 4, 3, 5, 4, 5, 4, 5, 3, 4, 3, 4, 1, 3, 5, 5, 5, 5, 5, 2, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5], "1257": [5, 2, 5, 1, 5, 3, 3, 3, 5, 3, 3, 1, 3, 1, 4, 4, 5, 2, 4, 2, 2, 4, 3, 2, 5, 5, 2, 3, 3, 1, 4, 5, 3, 3, 4, 5, 5, 2, 4, 5, 5], "1669": [4, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, 4, 4, 3, 4, 4, 4, 3], "2755": [5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5], "719": [4, 1, 3, 4, 4, 5, 5, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4], "5535": [4, 3, 4, 4, 3, 5, 3, 2, 4, 2, 1, 3, 5, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 5, 2, 1, 4, 3, 4, 4, 4, 3, 3, 5, 4, 5, 5, 5, 2, 4, 3, 2, 4, 5, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 4, 5, 4, 3, 4, 3, 3, 2, 4, 2, 2, 5, 4, 4, 2, 5, 5, 3, 5, 4, 2, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 1, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 1, 2, 3, 5, 4, 4, 4, 2, 3, 3, 5, 4, 3, 4, 2, 4, 2, 3, 2, 3, 5, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 3, 5, 2, 2, 1, 3, 5, 4, 4, 2, 5, 5, 3, 5, 3, 4, 2, 5, 5, 4, 4, 2], "3676": [4, 4, 2, 5, 3, 4, 3, 2, 3, 3, 4, 5, 4, 5, 2, 5, 5, 5, 4, 3, 3, 2, 5, 4, 1, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 2, 3, 4, 4, 2, 5, 3, 5, 4, 4, 5, 5, 2, 3, 5, 5, 5, 4, 5, 3, 3, 4, 3, 2, 1, 5, 3, 2, 4, 3, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 1], "1216": [3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 3, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 5, 3, 2, 5, 5, 5, 4, 3, 4, 5, 2, 1, 4, 1, 5, 4, 5, 3, 1, 3, 2, 4, 5, 3, 2, 2, 5, 5, 3, 1, 1, 1, 4, 5, 4, 1, 5, 4, 1, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 2, 3, 3, 5, 3, 3, 2, 2, 5, 5, 5, 3, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 2, 2, 2, 5, 3, 2, 5, 3, 5, 1, 4, 1, 5, 5, 2, 4, 3, 4, 5, 4, 1, 2, 5, 4, 4, 3, 3, 5, 3, 5, 2, 4, 4, 5, 1, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 1, 3, 4, 5, 5, 3, 3, 4, 3, 5, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 1, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5], "5419": [4, 3, 5, 5, 4, 4, 3, 2, 2, 3, 3, 4, 4, 3, 5, 3, 2, 4, 4, 4, 4, 1, 3, 3, 5, 3, 2, 4, 5, 4, 5, 4, 4, 2, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 5, 4, 5, 4, 1, 5, 3, 5, 5, 4, 3, 4, 4, 2, 5, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 5, 5, 4, 2, 4], "3338": [4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 2, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 3], "5984": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4], "715": [5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 2, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 5, 5, 4, 1, 3, 2, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 2, 1, 5, 3, 4, 5, 4, 4, 5, 4, 2, 3, 5, 4, 4, 4, 2, 2, 5, 4, 3, 4, 4, 5, 4, 5, 3, 5], "261": [4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 5, 5, 4, 4, 4, 4, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 2, 2, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 4, 2, 3, 3, 3, 5, 4, 3, 4, 2, 4, 4, 5, 3, 5, 5, 2, 1, 5, 2, 5, 3, 3, 3, 5, 4, 5, 4, 3, 3, 4, 1, 4, 2, 3, 5, 4, 4, 4, 5, 3, 1, 4, 3, 3, 3, 4, 3, 5, 3, 2, 3, 5, 4, 4, 4, 2, 3, 4, 3, 4, 4, 2, 4, 4, 4, 5, 2, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 3, 3, 3, 2, 5, 4, 3, 1, 4, 3, 5, 5, 3, 3, 4, 1, 2, 5, 4, 3, 5, 3, 4, 3, 5, 5, 1, 4, 5, 3, 4, 1, 2, 1, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 5, 3, 4, 3, 5, 2, 5, 5, 4, 3, 3, 5, 4, 4, 4, 3, 3, 5, 4, 2, 5, 2, 3, 3, 5, 4, 3, 2, 4, 4, 3, 2, 5, 3, 5, 4, 5, 5, 2, 3, 4, 3, 3, 4, 4, 4, 5, 4, 2, 4, 4, 3, 3, 5, 4, 2, 5, 1, 5, 4, 5, 4, 1, 4, 3, 5, 3, 4, 2, 3, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 5, 5, 5], "643": [4, 4, 3, 4, 4, 2, 5, 2, 5, 2, 2], "2996": [4, 3, 3, 3, 2, 3, 3, 3, 1, 4, 5, 4, 5, 5, 3, 2, 3, 3, 2, 4, 4, 2, 5, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 2, 3, 2, 4, 3, 3, 4, 5, 3, 2, 3, 3, 3, 4, 3, 2, 4, 4, 4, 4, 1, 4, 3, 4, 4, 3, 3, 2, 4, 5, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 3, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 3, 2, 2, 2, 3, 2, 3, 4, 5, 2, 3, 3, 1, 4, 3, 2, 3, 4, 2, 1, 1, 3, 4, 2, 5, 3, 4, 1, 4, 3, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 3, 3, 3, 5, 4, 5, 4, 5, 3, 2, 3, 2, 2, 5, 5, 1, 1, 3, 5, 5, 3, 3, 4, 5, 3, 3, 3, 4, 4, 1, 3, 1, 3, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 4, 1, 1, 3, 2, 2, 2, 4, 4, 2, 3, 2, 4, 5, 4, 2, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 2, 3, 1, 3, 4, 4, 4, 3, 5, 3, 3, 4, 2, 4, 2, 1, 1, 2, 4, 3, 2, 3, 4, 3, 5, 3, 3, 3, 2, 2, 5, 5, 3, 1, 3, 3, 2, 3, 2, 3, 3, 2, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 2, 3, 1, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 3, 2, 3, 3, 2, 2, 3, 5, 3, 4, 3, 1, 1, 4, 2, 3, 5, 1, 4, 3, 4, 3, 5, 3, 4, 3, 3, 2, 2, 3, 3, 5, 4, 4, 2, 4, 2, 3, 1, 3, 2, 3, 2, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 2, 4, 3, 3, 5, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 2, 3, 5, 2, 3, 4, 3], "766": [4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 2, 3, 5, 5, 4, 3, 3, 5, 4, 5, 3], "4941": [1, 3, 4, 5, 4, 3, 4, 4, 4, 3, 5], "2878": [5, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 3, 5, 4, 3, 3, 1, 4, 4, 4, 3, 4, 5, 4, 3, 5, 3, 5, 2, 5, 3, 5, 4, 3, 5, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 5, 5, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 5, 5, 5, 3, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 2, 4, 2, 4, 4, 5, 3, 4, 3, 1, 2, 3, 4, 5, 4, 5, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 1, 5, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 1, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 5, 4, 1, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 2, 1, 4, 1, 5, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 1, 3, 2, 1, 4, 4, 1, 5, 5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 5, 1, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 2, 5, 2, 4, 3, 4, 4, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 2, 3, 4, 4, 3, 4, 3, 1, 3, 1, 2, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 3, 2, 3, 3, 3, 5, 4, 3, 4, 3, 3, 2, 5, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 3, 3, 3, 1, 3, 2, 3, 4, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 3, 4, 3, 5, 4, 3, 1, 4, 4, 2, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 3, 3, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 1, 4, 5, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 5, 3, 4, 4, 2, 2, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 2, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 2, 2, 3, 4, 2, 3, 3, 4, 3, 5, 4, 2, 5], "241": [5, 5, 2, 3, 4, 5, 5, 3, 5, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 2, 4, 4, 5, 3, 5, 5, 5], "4648": [3, 5, 5, 5, 4, 3, 3, 3, 4], "807": [4, 5, 4, 4, 5, 4, 3, 5, 5, 4, 3, 3, 3, 3, 3, 4, 2, 4, 4, 4, 4], "4158": [5, 3, 3, 5, 3, 5, 3, 3, 5, 5, 3, 5, 3, 4, 3, 3, 5, 5], "5868": [3, 4, 4, 4, 5, 4, 5, 3, 4, 1, 5, 5, 5, 1, 5, 2, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 1, 3, 5, 2, 5, 5, 5, 5, 5, 2, 5, 3, 2, 5, 4, 5, 4, 4, 5], "4882": [4, 3, 4, 4, 2, 5, 5, 4, 3, 5, 4, 3, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 5, 3, 4, 5, 5, 5, 4, 3, 1, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 3, 4, 3, 3, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4], "5261": [3, 1, 5, 2, 2, 5, 5, 5, 5, 3, 2, 3, 4, 4, 3, 1, 3, 3, 3, 5, 5, 4, 5, 1, 3, 4, 3, 4, 5, 3, 3, 1, 2, 1, 1, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 5, 4, 4, 1, 5, 2, 5, 4, 3, 2, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 2, 4, 2, 3, 2, 4, 3, 5, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 4, 3], "3567": [4, 3, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 1, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 4, 4, 4, 2, 5, 4, 4, 3, 5, 3, 1, 4, 3, 3, 5, 4, 3, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5], "117": [3, 3, 4, 1, 4, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 3, 4, 5, 5, 3, 1, 1, 3, 1, 4, 4, 3, 3, 4, 3, 5, 2, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 3, 4, 3, 3, 3, 5, 3, 4, 1, 4, 4, 3, 4, 3, 4, 5, 5, 5, 3, 5, 5, 1, 3, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 5, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 4, 2, 3, 2, 4, 2, 3, 1, 3, 4, 3, 4, 4, 3, 4, 5, 4, 2, 4, 4, 2, 3, 3, 3, 4, 2, 4, 2, 4, 3, 5, 5, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 3, 4, 1, 2, 3, 2, 2, 4, 3, 3, 5, 4, 1, 3, 3, 3, 4, 2, 2, 3, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 3, 4, 2, 3, 2, 4, 5, 5, 4, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5, 5, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 3, 2, 2, 3, 3, 3, 2, 2, 4, 3, 2, 4, 4, 3, 3, 3, 1, 3, 3, 2, 3, 2, 4, 4, 3, 1, 4, 5, 3, 2, 2, 5, 4, 3, 5, 4, 3, 4, 4, 5, 4, 2, 2, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 2, 3, 5, 4, 3, 3, 3, 5, 3, 1, 2, 1, 1, 3, 3, 4, 3, 4, 4, 3, 3, 5, 1, 1, 4, 3, 4, 3, 3, 2, 3, 2, 4, 4, 1, 3, 1, 4, 4, 1, 3, 2, 5, 5, 2, 2, 5, 3, 5, 3, 2, 4, 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 5, 5, 2, 5, 5, 5, 4, 2, 4, 5, 4, 3, 5, 5, 4, 3, 3, 5, 2, 4, 2, 5, 5, 4, 3, 4, 4, 2, 5, 3, 1, 2, 5, 3, 2, 1, 3, 1, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 5, 2, 1, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3], "5262": [3, 3, 3, 1, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 4, 2, 5, 3, 3, 5, 4, 4, 3, 3, 1, 3, 3, 3, 3, 2, 1, 3, 2, 5, 3, 3, 4, 1, 1, 4, 3], "2765": [4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 2, 5, 3, 3, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 3, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 5, 5, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 5, 3, 3, 3, 4, 3, 4, 5, 3, 3, 4, 2, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 5, 4, 2, 4, 5, 3, 5, 4], "2291": [4, 4, 5, 5, 4, 4, 4, 3, 5, 3, 2, 5, 2, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4], "78": [4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 5, 5, 2, 3, 4, 5, 3, 3, 3, 4, 3, 5, 4, 4, 2, 3, 5, 4, 4, 1, 3, 4, 4, 3, 2, 4, 4, 2, 5, 3, 5, 4, 3, 5, 4, 4, 5, 3, 3, 4, 2, 5, 4, 5, 3, 4, 3, 4, 5, 4, 4, 3, 2, 2, 3, 3, 5, 5, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 3, 4, 4, 5, 4, 2, 5, 5, 4, 3, 5, 3, 4, 4, 4, 4], "5807": [4, 4, 4, 5, 5, 2, 4, 2, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 3, 4, 1, 3, 5, 5, 4, 5, 4, 2, 5, 5, 5, 2, 3, 4, 4, 5], "1616": [5, 5, 4, 1, 5, 4, 3, 5, 4, 3, 5, 3, 5, 2, 5, 4, 3, 4, 2, 4, 5, 4, 3, 3, 3, 1, 3, 3, 4, 3, 4, 3, 1, 5, 3, 4, 1, 4, 4, 3, 4, 3, 2, 2, 1, 4, 2, 1, 2, 1, 3, 1, 4, 4, 3, 4, 3, 1, 3, 4, 5, 1, 1, 2, 5, 1, 4, 3, 1, 5, 3, 5, 1, 4, 1, 2, 3, 3, 1, 1, 4, 3, 5, 4, 1, 4, 3, 4, 1, 3, 2, 5, 1, 3, 3, 3, 3, 3, 2, 4, 2, 4, 2, 3, 1, 5, 4, 1, 3, 1, 3, 4, 1, 3, 2, 1, 4, 4, 1, 1, 3, 5, 3, 2, 5, 2, 1, 1, 3, 5, 3, 3, 3, 5, 5, 5, 2, 1, 2, 3, 4, 3, 2, 2, 3, 5, 2, 3, 4, 4, 2, 3, 4, 1, 4, 4, 5, 2, 1, 3, 3, 1, 2, 3, 4, 3, 2, 1, 2, 3, 5, 3, 2, 4, 2, 5, 3, 1, 3, 5, 4, 2, 5, 4, 2, 4], "4478": [3, 3, 3, 3, 4, 4, 5, 4, 3, 2, 3, 2, 4, 4, 2, 5, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 2, 4, 1, 4, 3, 4, 3, 3, 3, 3, 2, 4, 4, 1, 3, 2, 2, 2, 3, 3, 3, 4, 5, 4, 4, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 3, 5, 4, 3, 5, 4, 4, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 3, 2, 4, 3, 4, 4, 5, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 2, 1, 3, 2, 4, 4, 4, 4, 3, 4, 2, 3, 2, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 4, 3, 2, 5, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 4, 3, 2, 5, 4, 3, 3, 3, 2, 2, 4, 5, 3, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 4, 4, 5, 2, 2, 3, 4, 5, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 2, 4, 2, 4, 4, 5, 4, 3, 5, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 5, 5, 1, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 2, 4, 2, 4, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 4, 2, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 2, 3, 2, 3, 3, 4], "2469": [4, 5, 2, 4, 4, 5, 3, 3, 5, 3, 3, 5, 5, 2, 5, 5, 3, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5], "3285": [4, 1, 4, 2, 5, 4, 3, 3, 3, 2, 5, 3, 5, 5, 3, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 2, 5, 3, 5, 3, 5, 2, 4, 4, 5, 3, 3, 3, 3, 5, 5, 2, 5, 4, 3, 4, 4, 3, 3, 5, 4, 5, 1, 2, 3, 4, 2, 3, 3, 3, 3, 1, 5, 5, 1, 4, 2, 4, 3, 2, 3, 5, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 2, 5, 5, 3, 4, 2, 1, 3, 3, 2, 1, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 5, 2, 3, 4, 3, 3, 2, 3, 2, 5, 3, 2, 5, 4, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 5, 4, 2, 3, 5, 3, 2, 4, 1, 3, 5, 1, 4, 4, 2, 2, 2, 3, 2, 4, 5, 3, 3, 5, 4, 4, 4, 5, 3, 5, 2, 4, 4, 5, 2, 4, 4, 3, 5, 2, 4, 5, 4, 2, 3, 3, 4, 1, 3, 5, 2, 4, 5, 2, 2, 4, 3, 5, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 5, 1, 5, 5, 4, 4, 4, 4, 3, 5, 3, 5, 3, 4, 3, 5, 4, 4, 4, 3, 3, 1, 4, 1, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 1, 1, 3, 4, 1, 4, 1, 4, 5, 2, 2, 4, 2, 5, 4, 4, 5, 5, 5, 3, 5, 3, 2, 4, 3, 1, 2, 4, 4, 5, 3, 4, 3, 4, 2, 5, 5, 5, 5, 5, 4, 3, 2, 4, 5, 2, 4, 1, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 5, 4, 1, 3, 5, 3, 1, 5, 5, 4, 1, 3, 4, 4, 5, 2, 1, 5, 5, 4, 4, 5, 2, 5, 3, 5, 5, 2, 3, 4, 4, 5, 5, 2, 5, 3, 4, 3, 4, 1, 5, 4, 3, 4, 5, 5, 5, 3, 2, 4, 2, 5, 4, 4, 4, 2, 4, 3, 5, 5, 4, 4, 2, 5, 4, 3, 4, 4, 5, 4, 4, 1, 2, 3, 3, 3, 3, 3, 1, 1, 1, 4, 5, 3, 2, 1, 5, 5, 4, 4, 4, 4, 3, 2, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 4, 3, 2, 3, 5, 4, 4, 5, 2, 4, 4, 5, 4, 2, 4, 1, 3, 3, 1, 3, 5, 3, 5, 4, 4, 5, 5, 3, 3, 1, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 3, 2, 3], "1197": [4, 4, 4, 4, 5, 1, 4, 5, 5, 5, 5, 5, 4, 4, 5, 2], "3998": [3, 3, 5, 2, 2, 5, 3, 2, 5, 3, 2, 4, 5, 1, 5, 4, 2, 1, 1, 1, 4, 1, 2, 1, 2, 5, 4, 3, 4, 1, 1, 1, 5, 5, 3, 1, 1, 2, 3, 1, 3, 3, 3, 3, 4, 4, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 3, 5, 3, 3, 5, 3, 3, 5, 5, 3, 5, 3, 5, 3, 5, 1, 1, 2, 5, 4, 4, 5, 5, 1, 3, 2, 3, 4, 4, 1, 4, 3, 2, 3, 2, 1, 2, 1, 1, 1, 1, 3, 2, 1, 3, 5, 2, 3, 1, 2, 3, 4, 2, 4, 3, 1, 1, 1, 1, 1, 4, 3, 3, 5, 5, 5, 1, 3, 1, 5, 5, 2, 3, 3, 2, 5, 4, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 5, 3, 4, 2, 5, 4, 4, 2, 5, 1, 3, 5, 5, 5, 2, 3, 1, 4, 5, 4, 4, 3, 1, 4, 2, 5, 2, 2, 4, 1, 2, 3, 2, 2, 4, 2, 4, 2, 1, 1, 2, 5, 2, 2, 1, 2, 4, 4, 4, 2, 2, 3, 3, 1, 4, 4, 3, 1, 3, 1, 2, 1, 5, 4, 1, 4, 1, 3, 2, 3, 3, 5, 3, 2, 4, 4, 4, 3, 5, 4, 3, 1, 5, 3, 2, 3, 1, 1, 1, 2, 4, 2, 1, 3, 2, 2, 2, 1, 3, 2, 5, 5, 3, 1, 2, 1, 3, 5, 1, 1, 3, 5, 5, 4, 4, 3, 3, 2, 1, 2, 3, 2, 2, 3, 2, 2, 5, 3, 3, 2, 5, 2, 2, 2, 5, 4, 5, 3, 4, 3, 5, 1, 4, 5, 3, 5, 5, 5, 1, 2, 1, 1, 2, 1, 5, 2, 5, 2, 2], "4865": [2, 1, 5, 3, 2, 4, 5, 3, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 3, 5, 4, 2, 3, 2, 5, 4, 5, 4, 2, 5, 3, 5, 4, 4, 5, 3, 1, 5, 3, 3, 4, 5, 4, 5, 4, 3, 1, 4, 3, 5, 3, 4, 2, 3, 3, 4, 2, 2, 5, 4, 4, 5, 3, 3, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 2, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 2, 1, 3, 3, 2, 3, 2, 4, 4, 4, 1, 4, 3, 2, 4, 1, 5, 5, 3, 5, 3, 4, 1, 3, 4, 1, 2, 5, 5, 3, 3, 2, 4, 3, 3, 5, 2, 3, 5, 3, 4, 5, 4, 4, 4, 1, 4, 2, 4, 3, 5, 5, 4, 3, 3, 2, 4, 5, 3, 3, 4, 5, 4, 4, 2, 4, 3, 1, 5, 1, 3, 4, 3, 1, 3, 4, 1, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 2, 5, 3, 3, 3, 5, 3, 5, 4, 4, 4, 5, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 1, 3, 3, 1, 2, 4, 3, 1, 3, 4, 1, 1, 4, 5, 5, 2, 4, 5, 2, 1, 3, 1, 3, 3, 3, 4, 1, 4], "5941": [4, 5, 3, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 3, 5, 5, 2, 5, 3, 4, 4, 3, 5], "5086": [4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 2, 5, 3, 4, 4, 4, 4, 3, 5, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 1, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3, 4, 5, 2, 4, 5, 5, 5, 4, 3, 2, 5, 2, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 2, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 3, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4], "5665": [5, 5, 3, 4, 5, 5, 3, 2, 4, 5, 3, 4, 2, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 1, 5, 4, 4, 5, 3, 3], "2942": [5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 3, 5, 5, 5, 3, 5], "5687": [2, 3, 3, 4, 3, 4, 3, 5, 5, 3, 2, 3, 1, 1, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 3, 3, 3, 3, 5, 5, 3, 4, 3, 5, 5, 4, 5, 4, 3, 4, 5, 3, 2, 4, 4, 5, 5, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 2, 3, 5, 5, 4, 5], "5926": [4, 5, 3, 3, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 5, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4], "5909": [3, 5, 2, 3, 3, 2, 4, 4, 3, 2, 5, 4, 5, 4, 3, 3, 3, 5, 4, 3, 4, 3, 4, 2, 3], "2744": [1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "5769": [4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 1, 4, 3, 5, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 2, 3, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 3, 5, 3, 5, 5, 2, 5, 4, 5, 2, 4, 3, 3, 5, 4, 5, 4, 4], "3723": [5, 4, 1, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 2, 4, 3, 5], "5685": [4, 3, 3, 4, 3, 4, 2, 3, 2, 5, 5, 4, 3, 4, 3], "2538": [4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3], "1133": [3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 1, 5, 5, 5, 5, 4, 3, 2, 3, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 4, 3, 3, 2, 4, 2, 3, 4, 1, 4, 4, 1, 4, 3, 2, 4, 5, 3, 5, 3, 5, 4, 2, 4, 1, 4, 1, 4, 5, 2, 4, 3, 3, 1, 2, 4, 5, 5, 2, 4, 1, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 2, 2, 5, 4, 2, 2, 1, 1, 2, 3, 4, 5, 2, 3, 5, 1, 4, 3, 1, 5, 5, 4, 3, 3, 4, 4, 5, 3, 3, 5, 5, 5, 2, 3, 5, 3, 5, 3, 4, 5, 5, 5, 4, 4, 5, 2, 1, 4, 2], "3871": [3, 4, 2, 3, 3, 5, 4, 3, 4, 2, 4, 2, 3, 4, 3, 2, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 1, 4, 2, 3, 3, 3, 2, 3, 4, 1, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 2, 2, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 4, 2, 2], "3709": [3, 3, 5, 5, 3, 3, 5, 4, 2, 4, 3, 5, 4, 5, 3, 2, 3, 3, 2, 4, 3, 3, 2, 3, 2, 3, 5, 4, 1, 2, 5, 5, 3, 2, 1, 4, 4, 3, 5, 4, 1, 3, 4, 3, 5, 1, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 1, 3, 3, 1, 2, 1, 4, 4, 3, 5, 4, 2, 4, 2, 3, 4, 3, 2, 3, 4, 4, 2, 1, 4, 1, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 5, 5, 3, 2, 4, 5, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 1, 3, 2, 2, 5, 1, 2, 4, 3, 2, 1, 1, 1, 3, 5, 1, 3, 4, 4, 2, 5, 5, 4, 3, 4, 5, 2, 5, 3, 4, 1, 4, 3, 1, 3, 4, 2, 5, 5, 5, 3, 5, 1, 4, 4, 4, 3, 4, 3, 4, 5, 3, 1, 4, 5, 3, 3, 3, 4, 4, 1, 4, 3, 2, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 1, 1, 4, 1, 3, 4, 3, 3, 4, 5, 5, 1, 5, 2, 5, 4, 4, 5, 3, 2, 4, 3, 5, 2, 3, 1, 3, 2, 4, 4, 3, 1, 5, 4, 5, 3, 4, 4, 3, 3, 2, 4, 3, 3, 5, 4, 3, 5, 4, 3, 4, 5, 3, 1, 4, 3, 4, 2, 4, 2, 1, 2, 1, 1, 5, 3, 5, 2, 3, 1, 3, 3, 3, 3, 3, 2, 5, 4, 2, 1, 3, 5, 3, 5, 2, 4, 2, 5, 5, 4, 4, 4, 3, 1, 2, 2, 5, 1, 1, 4, 3, 4, 5, 5, 4, 3, 3, 3, 4, 1], "799": [4, 4, 4, 5, 2, 4, 4, 5, 3, 5], "3795": [5, 4, 2, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5], "1931": [3, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 5, 4, 4, 2, 5, 2, 5, 5, 4, 4, 3, 3, 2, 4, 4, 2, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 3, 5, 3, 4, 4, 2, 1, 2, 4, 3, 4, 2, 4, 2, 2, 3, 4, 3, 3, 5, 3, 4, 2, 4, 3, 5, 3, 4, 5, 5, 5, 4, 4], "4535": [3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 2, 5, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 3, 5, 4, 3, 3, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 3, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 2, 4, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 3], "5062": [5, 5, 4, 3, 2, 4, 5, 3, 5, 3, 5, 4, 5, 5, 4, 4], "2523": [2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 3, 5, 5, 5, 4, 5, 4, 2, 5, 5, 5, 4, 4, 2, 5, 5, 5, 4, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 3, 5, 2, 3, 5, 4, 5, 3, 5, 4, 4, 2, 4, 5, 4, 4, 4, 2, 4, 2, 5, 1, 2, 4, 3, 1, 2, 1, 4, 5, 5, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4], "1260": [4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 4, 5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 1, 4, 4, 3, 4, 2, 4, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 1, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 5, 3, 3, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 2, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 2, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4], "4832": [4, 4, 4, 5, 5, 4, 5, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 2, 2, 5, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 3, 5, 4, 2, 4, 3, 4, 5, 5, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 5, 4, 5, 5, 3, 4, 3, 4, 1, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 2, 5, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4], "2582": [1, 2, 5, 5, 4, 1, 5, 5, 4, 5, 5, 3, 3, 3, 5, 5, 5, 4], "4248": [5, 4, 3, 5, 4, 5, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 2, 4, 4, 3, 4, 3, 3, 3, 4, 2, 5, 4, 3, 3, 5, 4, 3, 4, 4, 2, 3, 4, 2, 4, 5, 3, 4, 5, 4, 4, 4, 2, 5, 5, 5, 4, 5, 4, 4, 4, 4], "942": [5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4], "5240": [3, 5, 3, 5, 4, 4, 5, 5, 2, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 4, 4, 4, 5], "4720": [5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5], "2174": [4, 3, 4, 3, 5, 4, 5, 3, 3, 4, 3, 5, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 2, 3, 3, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 2, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 4, 4, 3, 1, 4, 4, 3, 3, 5, 4, 5, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4], "737": [3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 5, 1, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 1, 4, 3, 4, 4, 5, 4, 3, 3, 5, 5, 4, 4, 3, 3, 3, 1, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 4, 5, 4, 2, 1, 3, 5, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 5, 2, 4, 4, 5, 5, 3, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 5, 3, 3, 3, 4, 5, 4, 5, 3, 4, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4], "5018": [5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 1, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 2, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3], "2237": [4, 4, 4, 4, 4, 5, 2, 2, 3, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 1, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 2, 1, 3, 4, 4, 4, 5, 4, 3, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 2, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 1, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 2, 2, 4, 3, 3, 3, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 5, 3, 5, 5, 3, 5, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 2, 3, 4, 4, 4, 5, 3, 3, 5, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 3, 5, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 2, 3, 2, 4, 3, 4, 4, 4, 5, 3, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 5, 2, 5, 5, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4], "612": [5, 5, 5, 3, 5, 4, 5, 3, 4, 3, 3, 2, 1, 3, 3, 5, 2, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 2, 4, 5, 2], "5872": [4, 3, 3, 3, 1, 2, 3, 5, 4, 5, 5, 3, 2, 4, 1, 1, 4, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 2, 3, 2, 5, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 5, 3, 2, 4, 4, 3, 4, 3, 3, 3, 5, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 2, 5, 4, 2, 4, 3, 3, 2, 5, 3, 3, 5, 4, 3, 4, 3, 4, 2, 4, 1, 3, 4, 2, 4, 3, 3, 3, 3, 3, 1, 4, 3, 3, 4, 3, 3, 4, 4, 4, 2, 5, 4, 3, 4, 3, 3], "1302": [4, 5, 1, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 1, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5], "705": [5, 4, 3, 4, 3, 5, 5, 4, 3, 4, 5, 5, 4, 3, 4, 3, 2, 3, 4, 4, 5, 3, 5, 1, 2, 5, 3, 3, 1, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 5, 3, 4, 5, 1, 4, 3, 4, 3, 3, 4, 5, 3, 3, 5, 3, 1, 4, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 4, 2, 4, 5, 4, 2, 3, 1, 5, 3, 2, 4, 2, 5, 1, 5, 4, 5, 3, 5, 5, 1, 4, 3], "1200": [5, 4, 3, 3, 3, 1, 3, 3, 3, 4, 5], "5613": [4, 3, 3, 5, 2, 4, 4, 2, 2, 4, 4, 4, 3, 2, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 3, 4, 3, 3, 5, 5, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 3, 3, 1, 3, 3, 2, 5, 2, 4, 4, 4, 4, 3, 5, 3, 3, 3], "249": [4, 5, 4, 4, 3, 5, 5, 3, 5, 3, 3, 3, 4, 5, 5, 3, 4, 4, 2, 5, 5, 3, 3, 5, 5, 3, 5, 5, 2, 3, 1, 3, 3, 4, 5, 5, 4, 5, 5, 5, 3, 2, 4, 3, 5, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 3, 4, 5, 1, 3, 3, 4, 4, 4, 5, 1, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 2, 5, 5, 5, 5, 4], "3886": [2, 2, 3, 5, 4, 5, 4, 3, 5, 2, 4, 5, 2, 3, 2, 5, 5, 2, 5, 2, 4, 3, 5, 3, 3, 4, 2, 3, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 3, 2, 1, 4, 4, 3, 4, 2, 4, 4, 3, 2, 5, 4, 2, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4], "4895": [3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 5, 4, 5, 4, 3, 5, 3, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 5, 4], "2442": [5, 5, 4, 4, 3, 3, 5, 4, 5, 4, 3, 5, 3, 4, 3, 2, 5, 3, 5, 4, 4, 3, 1, 5, 5, 3, 4, 4, 4], "5946": [4, 3, 3, 2, 4, 4, 1, 5, 3, 4, 4, 4, 5, 4, 4, 5, 1, 3, 4, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 4, 2, 1, 5, 4, 4, 5, 5, 5, 2, 4, 4, 5, 3, 3, 4, 3, 5, 5, 2, 1, 5, 5, 1, 2, 4, 4, 4, 4, 2, 3, 5, 4, 4], "4074": [4, 5, 5, 1, 4, 5, 4, 4, 1, 4, 3, 2, 4, 5, 3, 5, 4, 2, 5, 5, 5, 5], "746": [4, 3, 2, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 1, 3, 2, 1, 3, 3, 3, 2, 1, 3, 1, 3, 3, 1, 2, 2, 4, 1, 1, 1, 1, 2, 1, 4, 2, 3, 2, 1, 1, 2, 2, 1, 1, 1, 1, 3, 4, 1, 3, 1, 4, 3, 2, 4, 3, 1, 1, 4, 3, 2, 1, 2, 1, 4, 4, 1, 2, 2, 3, 4, 4, 2, 3, 3, 1, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 4, 3, 1, 3, 2, 4, 2, 2, 1, 3, 2, 4, 2, 1, 1, 2, 3, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 4, 1, 3, 3, 4, 3, 3, 1, 2, 3, 4, 3, 3, 2, 4, 5, 3, 3, 2, 1, 3, 3, 3, 3, 1, 3, 1, 2, 4, 3, 4, 4, 4, 3, 4, 3, 1, 3, 1, 3, 5, 1, 3, 3, 3, 3, 3, 1, 5, 2, 4, 1, 3, 1, 2, 4, 5, 2, 3, 1, 3, 3, 2, 3, 3, 2, 4, 2, 4, 2, 4, 1, 4, 2, 3, 3, 4, 3, 5, 1, 2, 3, 1, 2, 4, 3, 1, 4, 3, 3, 2, 2, 4, 2, 2, 4, 2, 2, 1, 4, 2, 5, 2, 2, 5, 3, 2, 4, 4, 1, 2, 2, 5, 3, 2, 2, 4, 2, 4, 5, 4, 3, 4, 1, 2, 3, 2, 3, 4, 3, 3, 1, 1, 4, 1, 4, 3, 2, 4, 2, 3, 2, 3, 1, 2, 1, 4, 3, 2, 3, 2, 3, 1, 2], "3734": [4, 1, 5, 2, 5, 5, 3, 4, 3, 3, 3, 4, 3, 5, 1, 4, 1, 1, 2, 2, 3, 4, 3, 3, 3, 3, 4, 3, 5, 1, 1, 2, 2, 4, 3, 2, 3, 2], "5553": [3, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 2, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 2, 4, 3, 3, 5, 2, 3, 5, 4, 3, 5, 1, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 2, 3, 5, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 3, 3, 3, 3, 5, 5, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 5, 3, 2, 3, 3, 3, 4, 4, 5, 3, 5, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 5, 2, 5, 4, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3], "1304": [4, 5, 3, 5, 4, 3, 4, 5, 3, 3, 5, 4, 5, 3, 1, 3, 4, 4, 3, 5, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 4, 3, 3, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4, 5, 5], "5802": [3, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 4, 3, 2, 5, 5, 3], "2645": [3, 2, 3, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 1, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 4, 5, 4, 4, 3, 4, 1, 2, 4, 3, 3, 1, 4, 4, 3, 4, 2, 3, 5, 5, 4, 3, 1, 4, 4, 5, 4, 4, 2, 1, 4, 3, 3, 5, 3, 4, 2, 5, 2, 1, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 5, 4, 3, 3, 1, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 2, 2, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 2, 3, 3, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 2, 3, 4, 2, 4, 4, 3, 3, 5, 4, 3, 4], "3": [4, 2, 3, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 3, 2, 5, 4, 1, 4, 4, 2, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4], "4924": [4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 3, 5, 5, 3, 5, 3, 4, 3, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3], "3030": [2, 5, 3, 4, 4, 5, 3, 5, 4, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4], "5210": [4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 3, 5, 5, 1, 4, 4, 3, 4, 1, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 1, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 2], "369": [1, 4, 4, 5, 4, 2, 2, 4, 3, 4, 3, 1, 2, 1, 3, 3, 4, 3, 5, 2, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 1, 5, 3, 3, 2, 1, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 3, 5, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 4], "5425": [3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 2, 1, 5, 5, 3, 4, 5, 3, 4, 4, 2, 1, 5, 3, 5, 3, 5, 4], "3804": [4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 2, 1, 3, 5, 4, 3, 4, 5, 3, 5, 5, 1, 4, 5, 4, 5, 5, 5, 1, 4, 4, 5, 3, 5, 3, 2, 2, 1, 4, 4, 4, 5, 4, 4, 4, 4, 2, 3, 3, 5, 5, 5, 2, 4, 3, 5, 2, 4, 2, 2, 2, 4, 2, 4, 5, 5, 4, 1, 5, 1, 5, 5, 2, 3, 5, 2, 1, 1, 2, 4, 3, 4, 5, 3, 4, 4, 1, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 1, 5, 1, 3, 3, 1, 1, 5, 4, 3, 5, 4, 4, 4, 5, 3, 5, 3, 1, 3, 4, 4, 1, 2, 4, 4, 5, 2, 5, 4, 4, 4, 4, 3, 5, 4, 5, 3, 2, 4, 3, 3, 4, 3, 5, 1, 4, 1, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 1], "4480": [2, 3, 3, 3, 4, 4, 3, 3, 5, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 5, 4, 3, 3, 1, 5, 4, 1, 3, 2, 4, 5, 3, 3, 1, 1, 3, 3, 4, 4, 3, 4, 3, 3, 1, 3, 1, 2, 1, 3, 1, 3, 3, 2, 2, 1, 5, 4, 4, 5, 1, 3, 2, 3, 3, 3, 4, 3, 5, 2, 3, 3, 1, 4, 1, 3, 5, 3, 4, 3, 1, 4, 1, 4, 4, 1, 4, 5, 4, 4, 4, 1, 3, 3, 3, 3, 5, 2, 5, 5, 2, 3, 3, 2, 3, 3, 3, 4, 3, 1, 1, 4, 4, 4, 5, 1, 4, 4, 4, 5, 3, 2, 5, 3, 4, 3, 3, 2, 4, 2, 2, 3, 3, 2, 1, 3, 3, 3, 3, 1, 4, 3, 3, 1, 1, 4, 2, 2, 3, 3, 3, 1, 2, 4, 4, 5, 5, 5, 3, 3, 4, 3, 4, 2, 2, 2, 3, 3, 5, 4, 3, 4, 4, 4, 2, 5, 4, 3, 4, 4, 3, 3, 4, 2, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 4, 4, 2, 4, 3, 4, 4, 2, 5, 1, 5, 5, 1, 3, 2, 4, 3, 3, 5, 2, 4, 5, 5, 4, 3, 4, 5, 5, 5, 3, 3, 4, 2, 5, 3, 3, 5, 4, 5, 4, 5, 3, 5, 2, 5, 1, 1, 2, 4, 5, 4, 4, 5, 1, 2, 4, 2, 4, 4, 1, 3, 3, 3, 4, 2, 3, 1, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 5, 2, 3, 2, 3, 1, 3, 4, 5, 2, 2, 3, 1, 4, 1, 3, 3, 3, 3, 3, 2, 4, 5, 2, 2, 3, 4, 5, 5, 1, 4, 5, 1, 2, 3, 3, 3, 4, 4, 2, 3, 2, 4, 4, 2, 3, 2, 2, 2, 4, 1, 3, 1, 3, 5, 3, 3, 5, 3, 4, 3, 4, 3, 5, 2, 1, 4, 4, 1, 3, 2, 5, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 1, 4, 3, 1, 4, 2, 3, 5, 4, 2, 3, 3, 5, 3, 4, 4, 4, 2, 4, 1, 4, 3, 4, 2, 3, 4, 3, 5, 2, 3, 5, 3, 3, 3, 5, 3, 3, 2, 2, 4, 1, 5, 2, 4, 5, 4, 3, 4, 4, 4, 3, 5, 2, 1, 4, 5, 3, 4, 2, 2, 4, 4, 4, 3], "1889": [3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 3, 2, 4, 5, 2, 4, 2, 4, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 5, 4, 3, 3, 3, 2, 4, 2, 2, 3, 4, 2, 3, 5, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 4, 2, 3, 4, 4, 2, 2, 5, 4, 3, 4, 3, 2, 4, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 5, 2, 3, 4, 3, 4, 4, 3, 4, 2, 2, 4, 5, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 5, 2, 4, 4, 2, 3, 2, 5, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 3, 3, 4, 5, 3, 4, 2, 4, 3, 4, 2, 3, 4, 5, 3, 4, 4, 4, 3, 3, 1, 5, 2, 4, 4, 3, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 5, 2, 3, 2, 5, 3, 2, 4, 4, 4, 3, 3, 2, 4, 4, 4, 3, 4, 3, 5, 2, 5, 4, 4, 2, 3, 4, 3, 4, 3, 2, 2, 4, 4, 3, 3, 4, 5, 3, 4, 2, 3, 5, 3, 2, 2, 2, 2, 2, 3, 2, 5, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 3, 5, 4, 2, 2, 5, 2, 2, 3, 3, 4, 3, 3, 4, 3, 2, 5, 4, 2, 4, 3, 3, 2, 4, 2, 3, 4, 3, 3, 2, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 5, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 2, 5, 4, 3, 5, 2, 2, 3, 3, 3, 4, 4, 2, 3, 3, 2, 4, 1, 2, 2, 4, 3, 4, 4, 3, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 5, 5, 2, 4, 2, 3, 3, 5, 4, 2, 3, 5, 4, 5, 4, 4, 4, 2, 4, 2, 3, 2, 5, 3, 5, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 4, 2, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 4, 2, 4, 4], "1701": [4, 1, 3, 4, 4, 3, 5, 1, 1, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 2, 5, 4, 5, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 2, 2, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 1, 3, 4, 3, 5, 4, 2, 4, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 1, 1, 3, 3, 3, 4, 3, 2, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 3, 3, 4, 3, 2, 4, 5, 4, 4, 5, 4, 4, 4, 2, 3, 3, 4, 1, 3, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 3, 5, 2, 2, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 5, 3, 5, 1, 4, 4, 3, 4, 1, 4, 3, 4, 3, 5, 3, 4, 1, 1, 1, 5, 2, 3, 1, 1, 1, 1, 4, 5, 3, 3, 4, 4, 3, 1, 3, 3, 5, 4, 3, 3, 3, 2, 4, 3, 4, 1, 5, 2, 4, 4, 4, 3, 4, 2, 5, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 3, 3, 4, 1, 3, 1, 3, 4, 4, 4, 3, 4, 3, 2, 2, 4, 4, 5, 4, 3, 4, 3], "2973": [4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3], "3813": [5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 4, 2, 4, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5], "649": [5, 2, 5, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 5, 5, 2, 3, 1, 1, 5, 5, 3, 4, 5, 3, 3, 5, 1, 4, 5, 2, 2, 5, 1, 4, 5, 5, 4, 5, 3, 4, 2, 1, 1, 1, 4, 5, 4, 2, 4, 4, 5, 5, 2, 4, 5], "1130": [4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 2, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 1, 4, 4, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 1, 4, 5, 3, 5, 1, 4, 4, 4, 4, 5, 4, 3, 4, 1, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 2, 4, 1, 4, 5, 4, 4, 4, 5, 4, 2, 4, 4, 5, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 1, 5, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 3, 4, 5, 1, 1, 4, 5, 2, 5, 5, 2, 4, 5, 5, 5, 5, 4, 5, 4, 3, 3, 3, 5, 4, 3, 1, 3, 4, 5, 5, 4, 3, 5, 4, 5, 3, 2, 5, 4, 3, 5, 3, 5, 2, 4, 4, 5, 5, 4, 4, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 1, 5, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 3, 4, 5], "1842": [5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 1, 5, 5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 2, 5, 4, 4, 5, 2, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 2, 5, 3, 5, 4, 5, 5, 4, 4, 4], "2826": [4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 3, 4, 4, 3, 1, 3, 3, 4, 3, 3, 1, 4, 4, 4, 5, 3, 5, 2, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 1, 3, 3, 5, 4, 5, 5, 4, 3, 5, 2, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 5, 2, 4, 4, 4, 3, 4, 2, 3, 4, 5, 3, 3, 5, 5, 4, 2, 4, 3, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 2, 3, 3, 3, 3, 4, 4, 2, 4, 4, 2, 4, 3, 5, 2, 4, 5, 4, 3, 3, 4, 1, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 2, 4, 3, 5, 4, 3, 3, 2, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 2, 3, 3, 3, 4, 5, 2, 4, 4, 4, 1, 4, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 2, 5, 4, 2, 4, 3, 4, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4], "5826": [3, 5, 3, 4, 5, 3, 3, 4, 3, 2, 3, 4, 5, 3, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 2, 5, 5, 3, 2, 4, 5, 2, 4, 2, 4, 3, 4, 4, 2, 5, 3, 4, 4, 3, 2, 3, 4, 3, 5, 3, 5, 5, 3, 2, 5, 3, 5, 3, 2, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 2, 3, 5, 4, 3, 5, 4, 2, 5, 5, 3, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 5, 3, 4, 5, 3, 3, 5, 3, 4, 3, 3, 5, 2, 5, 3, 4, 3, 4, 5, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 2, 2, 4, 4, 5, 4, 4, 4, 4], "2721": [3, 4, 5, 5, 3, 3, 4, 5, 5, 1, 2, 1, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 2, 4, 5, 1, 4, 5], "622": [3, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 2, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4], "3911": [3, 4, 4, 1, 4, 1, 2, 5, 4, 5, 4, 4, 4, 5, 4, 2, 4, 5, 5, 4, 5, 5], "2920": [5, 2, 2, 5, 5, 2, 1, 3, 3, 5, 4, 3, 4, 1, 3, 5, 5, 3, 4, 5, 2, 2, 4], "3527": [5, 3, 4, 5, 4, 2, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 1, 4, 3, 2, 4, 1, 3, 4, 4, 4, 5, 3, 2, 4], "918": [4, 3, 2, 3, 2, 4, 3, 3, 2, 3, 4, 5, 3, 3, 4, 3, 2, 4, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 3, 2, 4, 4, 5, 3, 2, 1, 3, 2, 2, 2, 2, 3, 3, 3, 4, 3, 5, 3, 4, 3, 5, 1, 4, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 2, 1, 3, 1, 1, 2, 4, 3, 4, 4, 2, 3, 4, 3, 4, 2, 2, 4, 2, 2, 1, 4, 4, 3, 2, 1, 4, 2, 4, 3, 4, 4, 2, 3, 5, 4, 2, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 2, 1, 3, 5, 2], "1015": [4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 3, 4, 2, 4, 5, 5, 5, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 2, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 2, 4, 4, 3, 3, 5, 3, 5, 5, 5, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 3, 5, 4, 5, 2, 5, 5, 1, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 5, 3, 4, 4, 3, 4, 1, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 2, 5, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 2, 5, 1, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 5, 3, 5, 4, 5, 4, 3, 3, 4, 2, 2, 3, 5, 4, 5, 5, 4, 2, 3, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 2, 5, 3, 3, 2, 5, 3, 5, 4, 4, 2, 2, 1, 3, 4, 1, 3, 5, 3, 2, 4, 3, 4, 3, 5, 4, 4, 3, 3, 3, 3, 2, 5, 4, 3, 4, 2, 4, 4, 5, 2, 2, 4, 3, 4, 5, 4, 2, 2, 4, 1, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 5, 3, 2, 3, 2, 4, 3, 3, 3, 4, 5, 5, 3, 1, 4, 4, 2, 1, 3, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 5, 4, 3, 5, 3, 5, 3, 3, 3, 2, 3, 5, 2, 4, 5, 4, 2, 4, 3, 3, 1, 4, 5, 5, 4, 1, 3, 2, 1, 3, 3, 4, 5, 3, 3, 4, 4, 3, 3, 4, 3, 5, 3, 4, 4, 5, 4, 2, 5, 4, 3, 4, 2, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5, 2, 2, 3, 5, 3, 1, 5, 5, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 2, 4, 5, 2, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 2, 3, 4, 3, 2, 5, 5, 3, 3, 4, 3, 5, 2, 4, 5, 2, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 4, 3, 4, 5, 2, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 5, 3, 3, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 5, 3, 5, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 1, 3, 5, 3, 4, 5, 5, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 4, 3, 2, 4, 3, 4, 5, 3, 2, 5, 5, 4, 4, 2, 3, 4, 5, 1, 2, 5, 5, 4, 4, 1, 4, 3, 4, 4, 5, 5, 2, 3, 4, 4, 2, 2, 3, 3, 2, 5, 1, 4, 5, 3, 4, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 4, 4, 2, 5, 3, 2, 1, 3, 5, 4, 5, 4, 3, 5, 3, 4, 5, 3, 4, 4, 3, 2, 4, 2, 4, 4, 2, 1, 4, 4, 3, 3, 4, 5, 5, 5, 2, 5, 4, 3, 4, 3, 5, 3, 5, 4, 4, 3, 3, 3, 4, 3, 5, 3, 5, 2, 4, 2, 4, 3, 2, 4, 3, 4, 3, 1, 3, 5, 4, 4, 4, 4, 2, 3, 2, 5, 2, 2, 5, 5, 5, 3, 2, 5, 5, 5, 4, 4, 5, 4, 5, 3, 4, 1, 5, 2, 5, 5, 3, 4, 5, 4, 1, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 1, 5, 4, 5, 4, 1, 3, 5, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 2, 5, 3, 3, 2, 4, 4, 3, 5, 4, 3, 4, 5, 4, 3, 3, 2, 3, 5, 3, 5, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 3, 5, 3, 3, 5, 5, 3, 3, 2, 4, 4, 3, 3, 4, 5, 4, 5, 2, 4, 2, 3, 5, 3, 3, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 2, 4, 3, 5, 3, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 3, 3, 3, 4, 4, 3, 5, 2, 5, 5, 4, 4, 3, 2, 3, 5, 2, 3, 3, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 3, 5, 5, 3, 3, 5, 3, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 3, 4, 5, 4, 2, 5, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 5, 4, 5, 2, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 2, 3, 5, 3, 4, 3, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 3, 2, 5, 4, 3, 3, 5, 5, 5, 3, 4, 2, 4, 3, 5, 5], "1892": [4, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 5], "4918": [3, 3, 3, 4, 2, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 2, 3, 2, 5, 3, 3, 2, 3, 2, 2, 5, 4, 3, 4, 1, 3, 5, 4, 3, 4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 3, 3, 3, 3, 3, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 2, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 5, 5, 2, 5, 1, 3, 5, 3, 5, 3, 2, 3, 1, 4, 5, 3, 4, 5, 5, 3, 2, 3, 3, 2, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 5, 2, 3, 2, 4, 2, 2, 3, 3, 5, 4, 4, 3, 4, 4, 2, 4, 4, 5, 4, 5, 3, 5, 3, 4, 2, 3, 1, 5, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 5, 4, 4, 3, 2, 4, 3, 4, 5, 5, 5, 4, 3, 2, 5, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 5, 4, 2, 3, 2, 4, 3, 2, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3], "1717": [5, 2, 4, 3, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 2, 1, 3, 4, 5, 5, 4, 4, 1, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 1, 4, 5, 3, 5, 1, 5, 5, 3, 1, 2, 4, 5, 3, 4, 4, 3, 4, 1, 5, 5, 3, 5, 4, 5, 3, 4, 4, 4, 2, 5, 5, 1, 3, 4, 5, 5, 5, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 1, 5, 4, 5, 1, 4, 2, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 4, 5, 4, 2, 3, 5, 5, 5, 5, 2, 2, 2, 4, 3, 3, 4, 1, 4, 4, 4, 3, 5, 5, 3, 4, 5, 1, 3, 3, 5, 2, 5, 5, 4, 4, 5, 2, 3, 5, 5, 3, 4, 5, 5, 5, 4, 2, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 1, 5, 3, 2, 4, 3, 1, 4, 4, 2, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3, 1, 5, 2, 1, 4, 5, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 1, 4, 3, 3, 2, 1, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 5, 3, 5, 5, 5, 3, 5, 1, 2, 5, 1, 5, 2, 3, 4, 5, 5, 3, 4, 4, 2, 2, 5, 5, 4, 4, 5, 3, 5, 2, 4, 3, 4, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 1, 3, 5, 3, 5, 4, 5, 5, 5, 5, 3, 1, 5, 3, 5, 5, 2, 5, 3, 4, 4, 5, 2, 4, 3, 2, 5, 5, 4, 2, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 2, 5, 5, 2, 5, 4, 5, 5, 5, 3, 1, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 5], "5383": [3, 4, 3, 5, 2, 5, 4, 5, 5, 5, 3, 3, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 1, 4, 3], "2067": [3, 5, 3, 5, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 3, 5, 3, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 5, 3, 5, 5, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 5, 3, 3, 5, 3, 4, 4, 4, 3, 3, 3, 1, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 5, 5, 4, 4, 3, 2, 4, 4, 3, 4, 3, 3, 4, 4, 1, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 4, 3, 3, 5, 1, 4, 3, 1, 4, 5, 5, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 4, 3, 3, 4, 2, 5, 4, 3, 5, 3, 4, 3, 3, 3, 2, 5, 5, 3, 3, 3, 3, 4, 3, 4, 5, 3, 4, 2, 4, 3, 5, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 3, 5, 5, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4], "1422": [3, 3, 3, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 2, 3, 5, 4, 3, 4, 5, 2, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 2, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 2, 4, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 5, 1, 3, 2, 5, 2, 3, 3, 3, 1, 2, 4, 1, 3, 2, 3, 4, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 1, 2, 4, 3, 3, 3, 4, 1, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 1, 4, 2, 4, 3, 3, 3, 2, 2, 4, 3, 5, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 5, 2, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 2, 3, 2, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 2, 2, 5, 2, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 2, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 1, 1, 3, 3, 2, 4, 1, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 5, 3, 4, 3, 3, 3, 2, 5, 3, 3, 1, 2, 2, 1, 2, 2, 2, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 1, 3, 4, 4, 5, 4, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 5, 3, 4, 3, 3, 3, 3, 2, 5, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 5, 2, 1, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 2, 3, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 1, 3, 3, 4, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 5, 3, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 1, 3, 2, 2, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 5, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 4, 5, 3, 2, 4, 2, 2, 4, 4, 3, 3, 1, 4, 5, 3, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 4, 2, 1, 3, 4, 3, 3, 2, 4, 3, 1, 2, 2, 2, 3, 3, 4, 2, 3, 5, 2, 3, 3, 2, 2, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 3, 3, 1, 4, 1, 5, 3, 3, 4, 4, 3, 1, 2, 1, 3, 1, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 3, 2, 3, 4, 3, 4, 3, 2, 4, 3, 4], "4310": [5, 5, 4, 3, 5, 5, 5, 1, 3, 3, 2, 4, 4, 3, 4, 2, 4, 3, 3, 2, 3, 5, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 3, 4, 5, 3, 4, 5, 5, 4, 2, 3, 5, 4, 5, 5, 4, 3, 3, 2, 4, 4, 3, 2, 5, 2, 3, 3, 5, 5, 5, 2, 5, 5, 3, 4, 5, 3, 4, 5, 3, 5, 5, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 4, 5, 3, 3, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 1, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 2, 3, 4, 4, 3, 3, 5, 5, 5, 1, 3, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 1, 4, 5, 5, 5, 4, 4, 5, 3, 5, 3], "474": [4, 5, 2, 3, 3, 2, 4, 5, 5, 5, 1, 4, 3, 4, 1, 5, 5, 3, 5, 5, 1, 5, 3, 2, 3, 1, 3, 4, 4, 5, 5, 2, 4, 4, 3, 2, 3, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4, 1, 2, 3, 3, 3, 1, 4, 5, 4, 3, 3, 1, 3, 3, 4, 5, 5, 2, 3, 1, 2, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 2, 5, 2, 1, 2, 3, 4, 2, 5, 2, 2, 3, 4, 3, 2, 4, 5, 4, 3, 1, 4, 3, 2, 3, 5, 4, 5, 3, 5, 1, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 1, 1, 4, 5, 4, 3, 1, 4, 3, 3, 4, 4, 2, 4, 5, 4, 3, 1, 5, 5, 5, 3, 4, 2, 3, 5, 3, 3, 3, 2, 3, 4, 1, 2, 3, 3, 3, 3, 1, 4, 2, 3, 4, 5, 1, 4, 2, 5, 4, 4, 4, 4, 1, 5, 2, 4, 3, 4, 5, 2, 1, 2, 5, 5, 4, 2, 5, 4, 1, 4, 5, 3, 5, 1, 5, 4, 4, 2, 2, 4, 3, 2, 3, 1, 4, 3, 3, 3, 5, 2, 5, 3, 4, 4, 1, 4, 5, 3, 4, 1, 5, 3, 4, 5, 4, 1, 3, 4, 2, 2, 5, 3, 5, 5, 3, 4, 4, 5, 3, 3, 2, 4, 1, 4], "533": [5, 3, 4, 4, 4, 4, 4, 3, 1, 2, 2, 4, 4, 4, 4, 3, 5, 4, 1, 5, 4, 2, 2, 4, 5, 2, 4, 3, 1, 5, 5, 3, 3, 4, 3, 2, 4, 5, 2, 3, 4, 4, 4, 4, 5, 2, 2, 4, 5, 5, 4, 4, 4, 3, 5, 3, 1, 5, 3, 4, 5, 2, 2, 1, 5, 4, 2, 5, 5, 1, 3, 5, 3, 1, 3, 2, 5, 2, 2, 2, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 1, 2, 1, 4, 3, 4, 2, 1, 3, 4, 1, 4, 5, 3, 5, 2, 4, 4, 5, 5, 2, 2, 1, 4, 2, 3, 1, 3, 3, 1, 2, 4, 2, 4, 3, 3, 5, 1, 3, 2, 4, 1, 3, 2, 2, 3, 3, 4, 3, 3, 3, 5, 1, 2, 2, 4, 4, 2, 1, 5, 3, 3, 3, 5, 3, 5, 2, 4, 5, 3, 4, 3, 2, 4, 1, 3, 3, 3, 3, 5, 2, 4, 1, 4, 4, 4, 4, 2, 2, 2, 1, 1, 4, 5, 1, 1, 4, 5, 4, 4, 4, 2, 1, 4, 2, 2, 4, 4, 4, 5, 5, 4, 5, 1, 3, 3, 2, 2, 3, 3, 3, 2, 2, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 2, 4, 3, 5, 4, 3, 3, 4, 3, 1, 4, 5, 4, 2, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 3, 2, 3, 4, 2, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 3, 3, 3, 4, 2, 1, 2, 2, 4, 5, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 2, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 2, 5, 2, 4, 2, 4, 3, 4, 5, 4, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 3, 1, 3, 2, 3, 2, 2, 5, 3, 3, 4, 4, 2, 4, 3, 2, 5, 4, 4, 3, 5, 3, 2, 4, 2, 4, 4, 3, 5, 1, 2, 3, 1, 3, 5, 4, 4, 4, 4, 1, 2, 5, 2, 4, 2, 4, 5, 2, 3, 2, 3, 3, 2, 3, 3, 4, 5, 3, 3, 2, 2, 3, 4, 4, 4, 5, 3, 2, 4, 4, 4, 2, 4, 1, 2, 2, 2, 3, 4, 3, 3, 2, 2, 3, 4, 2, 4, 2, 1, 1, 2, 5, 2, 3, 4, 5, 4, 2, 3, 4, 3, 4, 5, 5, 3, 4, 3, 3, 3, 4, 2, 3, 4, 5, 5, 4, 5, 4, 4, 1, 2, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 1, 3, 4, 5, 5, 5, 5, 4, 2, 3, 5, 4, 3, 4, 5, 4, 5, 5, 3, 2, 3, 4, 4, 3, 3, 4, 2, 1, 5, 4, 2, 4, 3], "772": [4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 4, 2, 4, 3, 5, 3, 2, 5, 5, 3, 3, 4, 5, 3, 4, 1, 5, 3, 4, 1, 5, 3, 3, 5, 5, 4, 3, 2, 3, 3, 3, 2, 3, 3, 4, 2, 3, 5, 5, 5, 4, 4, 5, 3, 5, 5], "5276": [4, 3, 3, 4, 3, 3, 1, 4, 3, 3, 2, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3], "4896": [1, 4, 1, 1, 1, 5], "4771": [4, 3, 4, 5, 4, 3, 3, 5, 4, 5, 5, 5, 2, 3, 3, 4, 3, 5, 3, 5, 3, 3, 3, 4, 5, 4, 3, 4, 4, 5, 4, 3, 2, 4, 3, 2, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 2, 5, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 3, 5, 4, 5, 3, 3, 2, 4, 4, 2, 5, 2, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 4, 3, 2, 5, 4, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 3, 3, 3, 5, 5, 4, 4, 4, 3, 5, 2, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 2, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 3, 5, 3, 3, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 3, 3, 5, 5, 3, 3, 4, 4, 5, 2, 2, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 2, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 1, 2, 4, 5, 4, 2, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5], "4429": [3, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 5, 1, 1, 5, 5, 5, 2, 5, 5, 4, 3, 3, 3, 4, 5, 3, 2, 4, 4, 5, 3], "3464": [3, 3, 5, 3, 4, 5, 4, 3, 5, 3, 5, 1, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 4, 2, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 5, 1, 3, 3, 3, 4, 4, 3, 4, 4, 2, 5, 4, 3, 3, 2, 4, 2, 3, 4, 4, 3, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 2, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 2, 5, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 2, 4, 4, 5, 3, 2, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 5, 3, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4], "1536": [4, 5, 1, 1, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 1, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5], "2691": [5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 1, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 2, 3, 3, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4], "2867": [3, 1, 3, 5], "187": [4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 2, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 2, 5, 4, 5, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 2, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 2, 4, 4, 5, 5, 3, 3, 5, 5, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 3, 3, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5], "4244": [3, 3, 5, 4, 5, 2, 3, 4, 2, 2], "5999": [5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 2, 1, 3, 5, 5, 5, 5, 5, 4, 4, 4, 1, 4, 5, 5], "4785": [4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 2, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 5], "1158": [4, 3, 3, 5, 4, 3, 4, 4, 2, 2, 3, 3, 4, 2, 3, 2, 4, 3, 3, 5, 3, 5, 1, 5, 1, 5, 5, 5, 3, 4, 3, 3, 5, 5, 2, 2, 4, 5, 3, 2, 4, 5, 5, 4, 3, 4, 4, 3, 4, 5, 3, 5], "5725": [3, 4, 1, 2, 2], "5993": [4, 1, 4, 5, 5, 3, 4, 5, 3, 3, 3, 2, 4, 3, 5, 3, 3, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 5], "4051": [2, 4, 2, 4, 3, 3, 3, 2, 3, 3, 4, 3, 2, 4, 3, 3, 2, 3, 2, 4, 1, 4, 3, 3, 3, 3, 3, 3, 4, 4, 1, 2, 3, 3, 3, 3, 3, 2, 2, 3, 2, 4, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 1, 2, 3, 5, 3, 1, 3, 1, 1, 2, 3, 2, 4, 3, 2, 2, 3, 1, 3, 2, 3, 3, 3, 5, 4, 4, 3, 5, 2, 1, 3], "625": [5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 1, 5, 3, 5, 5, 3, 3, 4, 4, 5, 5, 4, 5, 1, 4], "5288": [3, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 2, 2, 2, 5, 4, 3, 5, 5, 4, 4, 3, 3], "3136": [4, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 1, 5, 3, 4, 3, 4, 5, 3, 1, 3, 5, 5, 5, 3, 5, 5, 4], "2002": [5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 3, 5, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 5, 5, 5, 4], "1915": [4, 3, 3, 4, 4, 5, 4, 2, 2, 5, 3, 4, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4], "4394": [4, 4, 3, 4, 5, 3, 2, 1, 4], "2720": [4, 4, 2, 4, 2, 5, 1, 5, 3, 3, 2, 5, 2, 3, 3, 5, 1, 4, 1, 3, 2, 5, 1, 4, 4, 3, 1, 3, 4, 1, 2, 5], "1935": [3, 3, 3, 2, 5, 4, 4, 5, 4, 2, 4], "5048": [5, 2, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 1, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 4, 5, 5, 4], "2554": [5, 4, 5, 3, 3, 5, 3, 4, 5, 4, 2, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 2], "3694": [3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 2, 3, 3, 2, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5], "1225": [3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 2, 3, 5, 4, 3, 4, 3, 5, 5, 4, 4, 3, 5, 2, 4, 4], "1893": [2, 5, 3, 4, 4, 2, 5], "5908": [3, 5, 3, 5, 3, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 2, 4, 5, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 3, 3, 5, 5, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 5, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 5, 5, 4, 5, 4], "4271": [1, 1, 1, 3, 5, 2, 3, 3, 3, 2, 3, 2, 3, 4, 2, 4, 3, 3, 3, 4, 2, 4, 4, 5, 5, 2, 3, 4, 2, 1, 5, 5, 4, 3, 3, 5, 3, 4, 4, 3, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 2, 4, 5, 5, 1, 3, 2, 1, 4, 4, 3, 3, 3, 5, 3, 3, 4, 3, 1, 1, 1, 3, 4, 4, 3, 1, 4, 5, 2, 5, 2, 2, 4, 2, 2, 4, 4, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 4, 4, 4, 2, 3, 2, 3, 4, 5, 3, 4, 4, 2, 2, 3, 1, 5, 4, 5, 5, 2, 1, 2, 3, 4, 3, 2, 2, 3, 3, 1, 3, 4, 3, 2, 3, 3, 3, 2, 1, 3, 3, 1, 1, 3, 1, 3, 4, 4, 3, 3, 2, 1, 2, 2, 2, 5, 4, 2, 1, 2, 4, 3, 5, 2, 2, 4, 2, 3, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 1, 3, 2, 3, 3, 2, 2, 2, 1, 4, 3, 4, 2, 3, 1, 2, 1, 3, 3, 2, 4, 2, 3, 4, 3, 2, 2, 3, 2, 3, 2, 2, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 5, 2, 1, 2, 4, 3, 4, 5, 5, 4, 4, 2, 3, 5, 3, 2, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 4, 3, 2, 4, 4, 2, 5, 3, 2, 5, 3, 5, 1, 4, 2, 4, 1, 2, 1, 3, 4, 1, 1, 5, 2, 1, 3, 3, 4, 2, 1, 3, 4, 2, 3, 4, 3, 4, 3, 2, 2, 3, 1, 4, 2, 1, 2, 1, 5, 5, 1, 2, 4, 4, 4, 2, 3, 2, 1, 4, 4, 3, 4, 5, 2, 4, 2, 1, 3, 2, 3, 4, 4, 5, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 3, 2, 1, 2, 4, 2, 1, 2, 3, 3, 3, 4, 4, 3, 3, 1, 2, 4, 2, 4, 4, 5, 3, 3, 2, 4, 4, 4, 4, 3, 4, 1, 5, 4, 2, 3, 4, 1, 2, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 2, 4, 2, 4, 3, 2, 4, 3, 2, 4, 5, 1, 4, 1, 4, 3, 3, 2, 3, 4, 2, 5, 4, 4, 2, 1, 4, 4, 2, 1, 4, 4, 4, 5, 4, 1, 3, 4, 5, 4, 3, 1, 3, 4, 3, 4], "4538": [1, 2, 5, 5, 3, 1, 3, 2, 2, 4, 5, 5, 3, 3, 5, 5, 2, 3, 1, 1, 3, 5, 4, 4, 5, 2, 1, 4, 5, 5, 5, 1, 1, 1, 1, 3, 4, 1, 4, 1], "6009": [4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 2, 5, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 5, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 2], "3739": [4, 5, 3, 3, 3, 4, 3, 5, 4, 4], "5720": [2, 2, 4, 3, 1, 1, 3, 3, 4, 3, 4, 2, 2, 2, 3, 3, 3, 4, 2, 1, 2, 3, 2, 2, 2, 2, 4, 2, 4, 4, 5, 3, 3, 3, 2, 1, 1, 2, 3, 4, 5, 1, 3, 2, 1, 1, 3, 4, 4, 1, 3, 5, 1, 4, 4, 2, 3, 3, 2, 3, 3, 4, 2, 5, 3, 4, 1, 2, 1, 4, 3, 2, 2, 3, 4, 3, 2, 3, 4, 2, 3, 5, 4, 5, 4, 2, 3, 3, 2, 3, 3, 4, 2, 4, 2, 3, 1, 3, 3, 3, 4, 3, 4, 3, 2, 2, 2, 2, 3, 3, 3, 2, 1, 4, 2, 2, 3, 1, 1, 4, 3, 1, 1, 4, 5, 1, 3, 4, 3, 3, 4, 4, 4, 1, 2, 4, 2, 4, 3, 3, 4, 4, 3, 2, 1, 1, 3, 3, 1, 2, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 2, 2, 1, 4, 1, 4, 4, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 5, 3, 1, 3, 4, 4, 1, 1, 3, 5, 3, 2, 3, 2, 2, 4, 3, 3, 4, 2, 1, 3, 2, 4, 2, 3, 3, 1, 2, 1, 4, 2, 4, 2, 4, 1, 4, 3, 4, 4, 2, 4, 1, 4, 2, 2, 2, 5, 3, 4, 3, 1, 1, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 5, 5, 5, 1, 2, 4, 3, 1, 2, 1, 3, 1, 3, 1, 3, 4, 3, 2, 4, 3, 3, 2, 3, 4, 3, 4, 2, 3, 2, 1, 3, 3, 1, 3, 3, 4, 4, 4, 3, 4, 2, 2, 2, 2, 4, 3, 4, 1, 4, 3, 3, 4, 4, 4], "5838": [3, 3, 5, 3, 4, 4, 3, 3, 1, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 3, 5, 4, 1, 1, 5, 4, 3, 4, 4, 5, 5, 3, 5, 1, 4, 4, 5, 4, 5, 4, 3, 5, 2, 5, 4, 1, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5, 1, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 1, 3, 4, 5, 2, 4, 2, 4, 5, 4, 2, 4, 5, 5, 5, 3, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 2, 4, 5, 5, 4, 4, 1, 4, 5, 5, 4, 5, 5, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 4, 5, 4, 2, 5, 3, 5, 5, 4, 4, 1, 3, 4, 4], "2976": [3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 3, 4, 4, 2, 2, 4, 3, 5, 3, 4, 5, 4, 2, 3, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 4, 3, 5, 2, 3, 4, 4, 4, 4, 3, 4, 3, 3, 2, 3, 5, 3, 3, 3, 4, 4, 5, 4, 4, 3, 5, 3, 2, 3, 2, 2, 2, 2, 4, 3, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 3, 3, 4, 2, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3], "2413": [3, 2, 4, 4, 1, 3, 3, 3, 1, 5, 3, 4, 1, 4, 2, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3], "1644": [4, 5, 3, 3, 3, 2, 1, 4, 3, 4, 2, 4, 5, 5, 5], "2264": [4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 4, 2, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 2, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 5, 4, 4, 2, 3, 3, 4, 3, 5, 3, 3, 2, 4, 3, 2, 4, 3, 4, 3, 2, 4, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 3, 3, 3, 2, 3, 5, 4, 4, 5, 4, 4, 3, 5, 2, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 5, 5, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 4, 5, 2, 5, 3], "3184": [4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 2, 4, 3, 2, 4, 4, 3, 5, 5, 4, 1, 5, 4, 2, 4, 4, 4, 3, 4, 1, 5, 4, 5, 1, 4, 5, 3, 4, 1, 5, 3, 3, 1, 2, 3, 4, 4, 4, 4, 5, 5, 2, 4, 4, 3, 4, 4, 4, 5, 1, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 2, 5, 3, 4, 4, 4, 4, 5, 5], "3071": [5, 4, 5, 4, 4, 4, 3, 3, 2], "818": [4, 3, 4, 4, 3, 5, 5, 1, 2, 4, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 2, 4, 5, 5, 2, 4, 4, 5, 5, 5, 1, 4, 5, 4, 4, 4, 5, 4, 2, 3, 3, 5, 4, 3, 3, 1, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 5, 4, 5, 4, 1, 4, 5, 4, 5, 5, 3, 4, 4, 5, 1, 5, 5, 3, 3, 1, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 5, 1], "1962": [2, 4, 4, 4, 3, 4, 5, 2, 3, 3, 1, 4, 3, 5, 3, 3, 3, 5, 4, 3, 4, 4, 1, 3, 4, 1, 3, 2, 2, 2, 3, 2, 5, 2, 1, 3, 2, 1, 3, 3, 3, 4, 1, 3, 2, 4, 1, 2, 1, 3, 3, 2, 4, 1, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 2, 2, 3, 2, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 3, 4, 2, 1, 1, 1, 2, 4, 4, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 3, 2, 3, 4, 5, 3, 3, 3, 2, 3, 2, 1, 5, 1, 2, 3, 3, 4, 2, 3, 4, 2, 4, 3, 2, 4, 1, 1, 4, 4, 4, 1, 3, 1, 3, 2, 1, 2, 3, 1, 3, 3, 4, 2, 3, 3, 4, 1, 1, 3, 3, 3, 2, 3, 3, 3, 4, 3, 2, 2, 1, 3, 4, 3, 2, 3, 2, 4, 3, 1, 2, 3, 1, 1, 3, 3, 2, 1, 3, 2, 2, 2, 3, 2, 4, 4, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 4, 1, 3, 1, 3, 1, 2, 4, 2, 2, 3, 1, 2, 3, 5, 3, 3, 1, 1, 1, 4, 2, 4, 1, 2, 3, 3, 4, 2, 4, 4, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 1, 4, 1, 3, 2, 1, 2, 2, 3, 5, 4, 5, 3, 1, 1, 4, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 4, 1, 2, 4, 4, 2, 2, 3, 2, 2, 1, 3, 3, 2, 3, 4, 4, 4, 3, 4, 3, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 2, 2, 4, 3, 1, 1, 2, 3, 3, 4, 2, 2, 1, 3, 1, 3, 5, 4, 1, 3, 3, 2, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 5, 3, 1, 3, 4, 2, 3, 3, 3, 3, 3, 1, 3, 1, 3, 4, 2, 3, 1, 1, 3, 2, 4, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 4, 3, 2, 3, 2], "5457": [2, 2, 4, 4, 4, 4, 4, 4, 2, 4, 2, 2, 3, 4, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 5, 3, 4, 2, 5, 3, 5, 3, 5, 4, 5, 5, 3, 4, 5, 3, 2, 5, 4, 3, 4, 3, 3, 2, 3, 3, 5, 5, 4, 3, 3, 2, 3, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 4, 2, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 2, 2, 2, 4, 2, 3, 3, 4, 4, 5, 4, 4, 2, 3, 3, 4, 3, 2, 1, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 1, 3, 2, 3, 3, 4, 2, 5, 1, 3, 4, 2, 3, 5, 5, 4, 3, 3, 5, 5, 3, 3], "224": [2, 4, 4, 2, 4, 3, 3, 4, 3, 2, 2, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 2, 5, 5, 3, 2, 2, 4, 3, 4, 3, 3, 2, 5, 5, 3, 3, 5, 2, 4, 2, 1, 3, 1, 4, 3, 2, 4, 2, 3, 5, 3, 5, 3, 3, 5, 2, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 5, 4, 4, 5, 4, 3, 4, 5, 2, 3, 3, 5, 2, 3, 5, 5, 2, 3, 4, 2, 5, 5, 2, 4, 4, 1, 5, 4, 4, 5, 3, 2, 4, 2, 4, 3, 3, 2, 5, 4, 4, 4, 2, 4, 3, 2, 5, 3, 2, 3, 4, 2, 4, 5, 3, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 2, 1, 3, 2, 3, 3, 3, 5, 4], "1434": [4, 2, 4, 3, 1, 4, 3, 1, 2, 2, 2, 3, 5, 1, 3, 5, 2, 1, 2, 1, 1, 2, 1, 1, 1, 4, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 2, 1, 3, 3, 4, 4, 1, 1, 3, 1, 3, 3, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 5, 3, 2, 1, 1, 4, 3, 1, 4, 4, 4, 1, 4, 3, 5, 4, 2, 4, 1, 4, 3, 1, 4, 1, 1, 3, 1, 1, 3, 3, 1, 3, 3, 2, 2, 1, 3, 4, 1, 1, 1, 2, 1, 1, 3, 5, 4, 1, 4, 3, 2, 2, 3, 1, 4, 2, 3, 1, 3, 4, 4, 3, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 3, 4, 2, 1, 4, 3, 1, 1, 2, 4, 3, 1, 4, 1, 1, 1, 1, 4, 4, 1, 3, 5, 3, 4, 1, 4, 1, 2, 1, 3, 3, 4, 4, 4, 2, 1, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 5, 1, 3, 1, 1, 1, 1, 3, 1, 1], "2837": [4, 3, 5, 5, 3, 1, 3, 3, 4, 3, 3, 4, 4, 4, 1, 4, 3, 2, 3, 3, 4, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 5, 2, 3, 4, 2, 4, 3, 1, 3, 4, 3, 1, 4, 4, 2, 1, 4, 3, 3, 3, 5, 3, 5, 3, 2, 3, 4, 5, 4, 5, 1, 3, 2, 3, 3, 4, 4, 4, 2, 3, 3, 3, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 1, 4, 4, 1, 4, 3, 3, 3, 5, 4, 5, 2, 4, 1, 3, 3, 3, 3, 1, 3, 2, 5, 3, 3, 5, 3, 4, 2, 3, 2, 3, 4, 3, 3, 5, 3, 4, 4, 2, 4, 5, 4, 5, 3, 3, 1, 4, 4, 4, 2, 4, 1, 3, 3, 5, 3, 1, 3, 3, 4, 5, 1, 3, 1, 2, 3, 2, 4, 4, 2, 4, 4, 1, 2, 3, 5, 4, 4, 5, 3, 2, 3, 2, 4, 3, 4, 2], "2546": [2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 2, 1, 4, 3, 3, 1, 3, 2, 4, 4, 3, 4, 2, 4, 5, 3, 4, 5, 1, 3, 4, 4, 4, 2, 4, 4, 3, 1, 1, 2, 1, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 1, 5, 3, 4, 3, 2, 3, 5, 4, 3, 3, 2, 4, 4, 2, 3, 3, 1, 4, 3, 2, 3, 3, 2, 4, 5, 4, 4, 4], "5889": [4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 3, 4, 5, 4, 3, 5, 3, 5, 3, 3, 3, 3, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 1, 4, 4, 5, 3, 3, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 3, 5, 3, 5, 3, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 1, 4, 4, 4, 5, 4, 3, 3, 3, 4], "5530": [3, 3, 3, 2, 3, 2, 2, 4, 3, 2, 2, 2, 3, 4, 5, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 5, 4, 2, 3, 2, 5, 4, 3, 1, 3, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 3, 5, 3, 5, 4, 3, 5, 2, 2, 4, 4, 5, 2, 1, 4, 4, 4, 3, 3, 1, 2, 3, 3, 4, 1, 3, 2, 2, 4, 2, 1, 2, 3, 3, 5, 1, 5, 3, 3, 4, 4, 3, 3, 3, 3, 2, 2, 4, 2, 4, 2, 4, 4, 3, 2, 4, 4, 2, 3, 4, 4, 5, 2, 3, 1, 3, 2, 2, 3, 2, 4, 5, 4, 3, 3, 4, 1, 2, 2, 1, 2, 2, 3, 2, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 1, 4, 5, 3, 3, 5, 4, 3, 3, 2, 4, 2, 5, 4, 4, 2, 2, 2, 3, 2, 2, 4, 4, 3, 2, 5, 3, 3, 5, 2, 5, 2, 4, 2, 3, 3, 3, 4, 3, 5, 4, 3, 4, 5, 1, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 5, 1, 1, 2, 3, 4, 3, 3, 3, 4, 3, 3, 1, 2, 2, 4, 2, 5, 4, 3, 3, 4, 5, 3, 4, 3, 5, 3, 3, 1, 4, 4, 3, 5, 2, 4, 1, 2, 2, 2, 2, 4, 5, 4, 3, 2, 4, 4, 5, 5, 2, 1, 4, 1, 4, 5, 3, 4, 4, 4, 2, 2, 3, 4, 2, 1, 2, 2, 3, 1, 3, 5, 5, 2, 2, 1, 4, 4, 2, 3, 2, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 1, 4, 5, 1, 5, 3, 1, 4, 4, 5, 1, 2, 2, 5, 3, 5, 5, 3, 5, 5, 3, 4, 5, 4, 2, 4, 4, 5, 4, 2, 4, 4, 2, 4, 5, 5, 4, 4, 5, 2, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 4, 3, 4, 4, 4, 1, 3, 2, 3, 1, 2, 3, 4, 4, 1, 4, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 3, 3, 3, 1, 3, 3, 2, 3, 5, 1, 2, 3, 4, 4, 1, 2, 3, 3, 1, 1, 1, 3, 5, 3, 4, 3, 3, 1, 3, 2, 5, 5, 4, 4, 1, 2, 2, 3, 1, 2, 2, 3, 4, 4, 2, 1, 1, 3, 1, 3, 3, 5, 4, 4, 3, 2, 5, 1, 2, 5, 2, 3, 3, 2, 1, 4, 2, 2, 3, 3, 1, 5, 2, 3, 1, 4, 2, 1, 2, 2, 3, 3, 2, 4, 1, 2, 2, 5, 2, 2, 3, 1, 3, 2, 3, 4, 3, 3, 5, 4, 2, 4, 2, 1, 2, 4, 2, 2, 1, 5, 3, 2, 2, 3, 3, 3, 2, 3, 2, 2, 4, 4, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 4, 3, 2, 1, 3, 3, 4, 3, 4, 3, 3, 2, 4, 5, 3, 3, 5, 1, 2, 2, 3, 2, 3, 2, 4, 3, 4, 1, 3, 2, 5, 5, 3, 4, 4, 1, 3, 3, 4, 3, 3], "308": [3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 2, 4, 1, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 2, 4, 3, 3, 4, 4, 4, 5, 2, 4, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 3, 3, 1, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 3, 5, 5, 3, 3, 4, 2, 5, 4, 3, 2, 4, 2, 4, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 1, 4, 4, 3, 3, 4, 2, 2, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 2, 4, 2, 5, 3, 4, 4, 1, 5, 2, 3, 2, 5, 3, 3, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 3, 2, 2, 3, 3, 2, 2, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 3, 2, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 5, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 5, 3, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 2, 2, 1, 1, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 2, 4, 4, 4, 3, 2, 4, 3, 3, 1, 1, 3, 4, 4, 2, 3, 4, 1, 3, 3, 4, 2, 3, 3, 4, 5, 3, 2, 3, 4, 4, 4, 2, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 4, 5, 4, 2, 4, 3, 1, 4, 3, 4, 2, 4, 4, 1, 4, 4, 4, 4, 2, 4, 5, 2, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 5, 1, 4, 2, 4, 4, 3, 4, 3, 4, 2, 3, 4, 2, 4, 3, 5, 2, 5], "1596": [4, 4, 2, 5, 3, 4, 3, 2, 4, 4], "1067": [4, 4, 3, 4, 5, 4, 3, 3, 5, 4, 2, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 2, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 2, 3, 3], "1057": [4, 3, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 2, 5, 2, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 1, 4, 3, 5, 4, 3, 5, 5, 3, 4, 4, 3, 2, 3, 2, 4, 5, 3, 4, 2, 5, 4, 3, 3, 5, 5, 3, 4, 3, 4, 3, 3, 5, 4, 4, 1, 3, 3, 5, 5, 5, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 3, 5, 5, 5, 5, 4, 3, 4, 5, 2, 4, 4, 3, 5, 3, 2, 4, 3, 1, 4, 3, 4, 3, 3], "835": [1, 5, 5, 2, 3, 3, 3, 2, 4, 2, 2, 2, 4, 1, 5, 3, 4, 2, 2, 2, 4, 3, 1, 3, 2, 2, 2], "2588": [3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 5, 4, 2], "5733": [4, 5, 4, 5, 4, 2, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 3, 3, 5, 3, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 2, 4, 5, 5, 2, 2, 2, 5, 3, 5, 4, 3, 5, 4, 4, 5, 5, 3, 2, 5, 3, 4, 5, 5, 5, 5, 2, 2, 5, 5, 2, 5, 5, 4, 2, 4, 4, 5, 5, 2, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 2, 4, 5, 5, 3, 4, 5, 3, 4, 5, 4, 4, 1, 5, 4, 1, 3, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4, 3, 4, 5, 5, 3, 2, 5, 4, 5, 3, 5, 4, 5, 3, 1, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5], "3479": [3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 2, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 4], "1425": [5, 2, 3, 4, 4, 2, 3, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 2, 3, 4, 5, 3, 3, 5, 2, 4, 3, 2, 4, 3, 3, 3, 3, 5, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 5, 2, 5, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 3, 3, 5, 5, 4, 4, 4, 4, 4, 2, 1, 3, 3, 5, 4, 4, 5, 3, 4, 1, 1, 1, 4, 2, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 2, 5, 3, 4, 3, 4, 4, 1, 4, 4, 5, 1, 4, 3, 4, 3, 5, 4, 3, 2, 4, 5, 4, 1, 3, 5, 4, 2, 5, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 5, 2, 1, 5, 4, 4, 5, 3, 5, 2, 2, 3, 5, 2, 3, 3, 4, 2, 2, 3, 2, 5, 3, 2, 4, 2, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 5, 3, 2, 3, 4, 4, 2, 3, 4, 2, 2, 3, 2, 4, 4, 2, 4, 5, 3, 2, 5, 2, 4, 3, 2, 2, 5, 5, 5, 5, 2, 3, 1, 4, 4, 2, 3, 4, 4, 4, 3, 2, 5, 4, 4, 2, 3, 5, 5, 2, 4, 3, 1, 5, 4, 3, 3, 2, 4, 3, 4, 4, 4, 2, 4, 4, 4, 2, 2, 3, 4, 4, 4, 3, 2, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 4, 3, 2, 3, 4, 3, 4, 4, 2, 2, 5, 5, 4, 5, 3, 2, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 3, 3, 5, 3, 5, 4, 1, 5, 3, 4, 5, 5, 4, 3, 4, 3, 5, 2, 2, 1, 3, 3, 4, 3, 1, 1, 4, 3, 3, 4, 5, 4, 3, 2, 2, 2, 2, 5, 5, 4, 5, 3, 1, 4, 3, 5, 5, 2, 4, 4, 3, 4, 4, 2, 5, 3, 5, 3, 2, 5, 4, 3, 3, 2, 4, 3, 1, 3, 4, 3, 4, 4, 4, 2, 4, 5, 4, 2, 2, 3, 5, 4, 4, 4, 5, 4, 2, 4, 3, 3, 5, 3, 4, 2, 2, 5, 2, 3, 4, 2, 2, 3, 5, 3, 5, 4, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 2, 5, 5, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 5, 4, 3, 5, 4, 4, 3, 5, 4, 5, 3, 2, 4, 3, 3, 4, 2, 2, 5, 5, 3, 4, 5, 2, 4, 4, 3, 5, 5, 1, 4, 3, 2, 2, 1, 5, 5, 4, 4, 4, 1, 3, 5, 5, 5, 4, 4, 3, 5, 4, 4, 2, 5, 4, 4, 5, 1, 2, 3, 5, 5, 4, 4, 3, 3, 5, 3, 4, 3, 3, 4, 5, 3, 4, 5, 1, 5, 3, 3, 5, 4, 5, 5, 5, 3, 5, 3, 1, 2, 5, 4, 5, 4, 4, 2, 3, 3, 3, 5, 2, 3, 2, 5], "5361": [3, 3, 5, 4, 3, 1, 4, 5, 4, 4, 4, 1, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 1, 4, 2, 2, 2, 2, 3, 5, 2, 5, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 1, 4, 4, 2, 4, 4, 3, 1, 5, 4, 3, 2, 2, 4, 4, 2, 3, 1, 2, 3, 4, 4, 3, 5, 2, 4, 5, 5, 4, 4, 1, 4, 3, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 1, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4], "3209": [4, 1, 3, 3, 1, 2, 1, 3, 1, 1, 3, 2, 5, 1, 2, 1, 2, 2, 1, 4, 1, 2, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 3, 1, 3, 3, 3, 1, 1, 2, 3, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 1, 5, 1, 2, 2, 2, 3, 1, 2, 1, 3, 2, 1, 3, 1, 1, 1, 5, 2, 1, 2, 1, 2, 1, 1, 1, 5, 4, 3, 5, 3, 3, 3, 1, 1, 2, 1, 4, 1, 3, 1, 3, 2, 3, 1, 3, 2, 3, 1, 1, 1, 1, 4, 1, 2, 2, 3, 1, 3, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 5, 1, 2, 1, 1, 4, 1, 1, 5, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 1, 1, 2], "1843": [5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 2, 5, 2, 4, 3, 4, 3, 1, 4, 3, 4, 5, 3, 1, 2, 5, 4, 2, 5, 4, 2, 2, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 2, 5, 2, 5, 5, 4, 4, 3, 5, 4, 4, 4, 1, 3, 5, 3, 4, 4, 5, 5, 3, 2, 5, 5, 4, 4, 3, 5, 5, 4, 3, 5], "213": [5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4], "3867": [5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 1, 3, 4, 5, 2, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4], "5656": [3, 4, 1, 5, 4, 1, 5, 3, 5, 4, 1, 5, 2, 2, 4, 2, 2, 4, 1, 4, 1, 5, 3, 2, 3, 1, 4], "3314": [5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 3, 5, 3, 4, 4, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 5, 1, 3, 4, 4, 4, 3, 4, 5, 5, 5, 3, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 2, 3, 4, 5, 4, 2, 4, 3, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 5, 2, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 3, 5, 3, 3, 5, 5, 3, 5, 4, 5, 4, 5, 3, 3, 4, 4, 3, 5, 5, 2, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 2, 5, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], "2632": [4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 3, 5, 4, 3, 4, 5, 5, 3, 3, 4, 2, 4, 3, 4, 4, 3, 4, 4, 3], "511": [4, 4, 5, 3, 3, 3, 5, 5, 1, 3, 4, 4, 3, 3, 5, 4, 3], "5754": [4, 3, 4, 2, 1, 3, 1, 5, 3, 1, 2, 3, 4, 3, 1, 4, 4, 3, 3, 3, 3, 3, 4, 3, 1, 3, 4, 3, 3, 4, 2, 5, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 4, 4, 2, 4, 2, 2, 3, 4, 2, 2, 1, 3, 4, 1, 3, 4, 3, 4, 2, 4, 3, 4, 4, 2, 4, 3, 4, 1, 3, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 2, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 1, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 2, 2, 1, 4, 3, 1, 4, 2, 1, 2, 1, 4, 4, 2, 4, 4, 3, 3, 1, 4, 3, 4, 2, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 2, 3, 1, 3, 4, 4, 3, 2, 4, 4, 3, 4, 3, 3, 5, 3, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 1, 3, 3, 4, 4, 2, 1, 3, 4, 1, 4, 1, 4, 3, 3, 3, 2, 3, 4, 1, 2, 3, 2, 3, 5, 2, 4, 4, 4, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 4, 4, 2, 2, 2, 3, 4, 4, 3, 3, 3, 1, 5, 2, 3, 3, 3, 4, 2, 1, 4, 3, 3, 4, 3, 2, 3, 3, 3, 1, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 4, 3, 3, 2, 2, 3, 1, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 4, 5, 3, 2, 3, 3, 3, 5, 3, 4, 3, 4, 4, 2, 1, 3, 4, 4, 3], "1655": [5, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 3, 4, 2, 5, 4, 2, 5, 4, 5, 5, 3, 2, 4, 5, 2, 4, 4, 5, 4, 5, 4, 4, 2, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 5, 4, 4, 3, 2, 3, 4, 5, 3, 4, 3, 4, 3, 2, 5, 3, 3, 5, 4, 1, 3, 3, 2, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 5, 3, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4], "1960": [1, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 3, 3, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 2, 4, 1, 2, 5, 3, 4, 4, 5, 5, 5, 2, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 3, 3, 3, 5, 5, 4, 4, 2, 3, 2, 5, 4, 5, 4, 2, 4, 3, 5, 3, 2, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 1, 4, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 2, 5, 4, 4, 3, 5, 3, 4, 2, 4, 5, 4, 4, 2, 4, 1, 5, 4, 4, 5, 4, 4, 3, 2, 2, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 3, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 1, 5, 5, 4, 2, 5, 5, 2, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 2, 1, 4, 3, 5, 5, 5, 5, 3, 3], "417": [4, 3, 4, 5, 5, 3, 3, 5, 3, 3, 4, 5, 5, 5, 3, 5, 5, 5], "5459": [5, 2, 3, 3, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 5, 4, 3, 3, 3, 3, 3, 5, 4, 3, 3, 4, 5, 2, 4, 2, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 1, 3, 4, 3, 5, 3, 4, 5, 3, 5, 2, 3, 3, 3, 5, 5, 2, 1, 4, 4, 5, 4, 3, 3, 2, 3, 4, 5, 3, 3, 5, 3, 4, 5, 4, 4, 3, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 5, 5, 2, 2, 5, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 5, 5, 3, 5, 3, 4, 4], "1507": [5, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 5, 5, 3, 3, 3, 4, 5, 5, 3, 4, 3, 5, 3, 5, 3, 3, 5, 5, 5, 5, 5, 4, 3, 2, 3, 3, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 2, 3, 4, 5], "1949": [5, 5, 5, 5, 5, 4, 5, 5, 3, 3, 3, 5, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 4, 3, 5, 3, 4, 5, 5, 4, 4, 1, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 1, 5, 4, 5, 5, 3, 4, 5, 4, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 4, 5, 5], "1378": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5], "4196": [4, 2, 4, 3, 5, 3, 3, 5, 3, 5, 5, 4, 3, 4, 5, 4, 3, 5, 5, 3, 3, 3, 2, 2, 3, 3, 5, 3], "9": [4, 4, 3, 2, 3, 4, 3, 5, 4, 4, 3, 5, 4, 4, 3, 3, 2, 5, 5, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 5, 3, 3], "3257": [5, 5, 4, 3, 5, 5, 5, 5, 5, 3, 5, 3, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 3, 5, 3, 5, 3, 5, 4, 4, 5, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3], "2866": [1, 4, 4, 3, 3, 2, 3, 5, 3, 4, 3, 2, 4, 4, 5, 4, 4, 3, 5, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 3, 3, 2, 2, 2, 5, 2, 4, 2, 4, 4, 2, 5, 1, 1, 1, 3, 4, 5, 4, 1, 3, 3, 4, 3, 2, 5, 2, 4, 3, 4, 3, 5, 5, 3, 2, 3, 4, 2, 2, 4, 4, 2, 2, 5, 4, 3, 4, 4, 2, 4, 2, 4, 2, 5, 4, 5, 2, 2, 4, 1, 4, 3, 2, 5, 5, 2, 3, 3, 5, 1, 4, 3, 2, 5, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 3, 2, 5, 3, 4, 3, 4, 5, 4, 3, 4, 2, 3, 5, 5, 1, 2, 4, 3, 2, 5, 2, 1, 2, 3, 3, 4, 3, 2, 5, 2, 2, 4, 4, 3, 4, 3, 4, 5, 3, 4, 5, 3, 5, 3, 5, 4, 5, 3, 4, 3, 1, 2, 5, 5, 5, 4, 1, 3, 2, 4, 3, 3], "5639": [3, 4, 5, 4, 3, 3, 4, 5, 5, 5, 3, 5, 3, 5, 4, 4, 4, 5, 4, 3], "1676": [5, 3, 3, 3, 3, 4, 5, 4, 4, 2, 3, 4, 4, 3, 5, 3, 5, 5, 5, 5, 3, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 2, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 2, 4, 3, 4, 3, 3, 5, 4, 4, 2, 5, 2, 3, 5, 5, 2, 3, 2, 3, 4, 5, 3, 5, 5, 4, 2, 4, 2, 5, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 4, 3, 3, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 5, 2, 4, 5, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 5, 3, 3, 4, 4, 3, 4, 2, 4, 2, 2, 2, 4, 3, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 5, 4, 3, 4, 2, 3, 3, 4, 3, 2, 4, 2, 5, 3, 2, 2, 4, 3, 4, 2, 3, 3, 3, 3, 4, 5, 2, 2, 3, 3, 2, 3, 3, 4, 3, 4, 1, 3, 3, 4, 3, 5, 2, 3, 5, 4, 2, 3, 5, 2, 3, 3, 3, 3, 3, 2, 5, 3, 2, 3, 4, 3, 4, 2, 2, 3, 4, 4, 5, 3, 4, 5, 4, 2, 4, 2, 2, 3, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 3, 4, 3, 2, 3, 4, 5, 3, 4, 4, 2, 4, 3, 5, 2, 2, 3, 5, 4, 3, 4, 3, 2, 2, 3, 3, 4, 3, 4, 5, 2, 2, 4, 4, 4, 1, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 4, 3, 5, 4, 4, 5, 3, 5, 2, 5, 3, 5, 4, 4, 2, 3, 2, 3, 2, 5, 5, 2, 4, 2, 3, 2, 2, 4, 3, 5, 2, 5, 2, 1, 4, 2, 3, 3, 3, 3, 3, 5, 4, 3, 3, 2, 4, 4, 4, 2, 3, 4, 3, 5, 5, 4, 3, 3, 5, 3, 4, 4, 3, 5, 2, 2, 3, 3, 2, 4, 1, 2, 5, 1, 4, 2, 4, 2, 3, 3, 4, 3, 2, 3, 4, 3, 4, 2, 4, 3, 1, 2, 2, 1, 5, 5, 1, 4, 4, 3, 2, 3, 3, 4, 3, 2, 3, 2, 3, 2, 5, 5, 4, 4, 2, 4, 4, 5, 3, 3, 4, 5, 1, 3, 4, 5, 4, 3, 3, 5, 2, 1, 4, 4, 2, 5, 2, 3, 3, 3, 3, 2, 2, 2, 2, 5, 5, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 2, 3, 2, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 3, 5, 5, 3, 4, 4, 4, 1, 4, 4, 5, 5, 4, 5, 4, 3, 3, 2, 4, 2, 2, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 5, 2, 3, 5, 4, 4, 3, 3, 3, 3, 4, 2, 5, 1, 3, 5, 4, 4, 3, 2, 3, 4, 2, 2, 4, 3, 2, 3, 2, 3, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 3, 3, 3, 1, 5, 4, 1, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 2, 4, 4, 4, 1, 3, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 2, 4, 5, 3, 5, 5, 3, 3, 5, 5, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 5, 5, 5], "1027": [4, 2, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 3, 2, 3, 5, 4, 3, 5, 3, 4, 5, 4, 3, 5, 3, 5, 3], "4391": [3, 4, 4, 2, 4, 4, 4, 2, 1, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 2, 1, 4, 4, 4, 3, 4], "692": [4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 2, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 2, 3, 2, 5, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 3, 5, 5, 5, 3, 2, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 5, 3, 4, 3, 3, 3, 4, 3, 4, 5, 2, 3, 3, 3, 5, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 3, 4, 4, 3, 4, 5, 2, 3, 5, 2, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 3, 3, 5, 4, 4, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 2, 4, 4, 5, 4, 4, 4, 1, 4, 4, 2, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 3, 1, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 2, 3, 4, 5, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 2, 5, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 1, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 2, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 1, 4, 3, 5, 3, 4, 3, 4, 2, 5, 4, 5, 5, 2, 1, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 5, 2, 2, 4, 1, 4, 4, 1, 5, 5, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 1, 3, 4, 4, 5, 3, 2, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 4, 5, 3, 4, 2, 5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 2, 4, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5], "5053": [4, 3, 2, 5, 5, 4, 4, 4, 4, 2, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 3, 5, 4, 5, 5, 3, 2, 5, 5, 4, 2, 5, 5, 2, 4, 5, 3, 4, 5, 3, 3, 2, 1, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 3, 4, 5, 2, 5, 5, 5, 5, 3, 5, 3, 5, 3, 3, 3, 3, 2, 4, 4, 4, 4, 2, 5, 4, 3, 5, 3, 3, 2, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 2, 4, 4, 4, 5, 2, 1, 4, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 2, 5, 4, 4, 4, 3], "2498": [5, 3, 4, 4, 4, 5, 3, 1, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 1, 2, 4, 4, 1, 4, 2, 3, 3, 3, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4, 4, 5, 4, 4, 2, 1, 3, 1, 4, 5, 4, 3, 4, 1, 3, 4, 1, 1, 3, 5, 3, 1, 3, 4, 2, 2, 3, 4, 2, 5, 3, 3, 3, 1, 4, 4, 3, 3, 1, 3, 5, 4, 1, 1, 3, 3, 4, 5, 4, 3, 2, 4, 1, 5, 1, 3, 4, 4, 1, 3, 3, 3, 3, 4, 5, 3, 4, 3, 1, 3, 5, 4, 4, 3, 3, 1, 4, 4, 4, 2, 4, 3, 3, 4, 1, 5, 4, 2, 1, 5, 4, 3, 4, 5, 3, 1, 1, 1, 4, 5], "1630": [3, 3, 2, 1, 4, 2, 3, 4, 2, 3, 1, 1, 1, 3, 4, 3, 4, 2, 4, 2, 2, 3, 1, 2, 1, 3, 4, 1, 3, 2, 2, 1, 4, 2, 1, 1, 1, 1, 1, 3, 2, 1, 3, 4, 5, 3, 3, 1, 1, 3, 3, 1, 1, 3, 2, 2, 1, 1, 2, 3, 3, 2, 4, 1, 1, 3, 2, 4, 1, 3, 3, 2, 1, 1, 2, 1, 2, 3, 3, 4, 1, 3, 1, 2, 1, 3, 1, 5, 1, 2, 3, 1, 2, 1], "3091": [2, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 5, 3, 5, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3], "2702": [2, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 4, 1, 2, 1, 1, 3, 1, 1, 4, 1, 3, 1, 1, 4, 5, 3], "5101": [1, 1, 1, 2, 3, 2, 1, 4, 1, 4, 2, 2, 4, 2, 1, 3, 3, 2, 3, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 1, 4, 2], "4548": [3, 3, 3, 4, 5, 3, 2, 3, 3], "2557": [1, 4, 1, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 3, 2, 3, 3, 1, 4, 3, 5, 3, 4, 5, 5, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 2, 5, 5, 5, 4, 2], "5930": [4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 3, 5, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4], "181": [4, 4, 3, 2, 4, 4, 5, 4, 4, 2, 4, 3, 3, 5, 3, 4, 5, 3, 5, 4, 4, 5, 1, 5, 5, 4, 3, 4, 3, 5, 4, 4, 2, 4, 2, 3, 3, 4, 3, 4, 4, 1, 4, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 3, 5, 1, 4, 2, 4, 2, 3, 4, 4, 2, 2, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 2, 1, 3, 3, 3, 4, 5, 2, 5, 5, 3, 1, 2, 3, 2, 3, 2, 2, 3, 1, 4, 1, 2, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4, 2, 4, 2, 2, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 4, 3, 3, 2, 4, 5, 1, 5, 3, 2, 4, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 2, 2, 4, 4, 3, 5, 5, 3, 3, 4, 3, 3, 5, 2, 3, 3, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 2, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 3, 2, 5, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 1, 5, 5, 2, 4, 2, 4, 5, 5, 3, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 5, 2, 4, 5, 3, 4, 4, 4, 4], "768": [5, 5, 5, 5, 5, 4, 5], "1707": [2, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 2, 5, 4, 5, 2, 5, 4, 4, 5, 5, 5, 4, 5, 2, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5], "1299": [5, 5, 3, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 1, 4, 5, 3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 2, 4, 1, 4, 4, 5, 3, 3, 5, 2, 5, 2, 4, 1, 5, 1, 3, 4, 5, 1, 5, 5, 4, 4, 5, 5, 5, 2, 1, 5, 5, 5, 3, 1, 4, 4, 5, 3, 4, 3, 5, 4, 4, 1, 4, 3, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 1, 3, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 3, 5, 2, 5, 3, 1, 3, 1, 4, 4, 4, 5, 5, 5, 3, 3, 5, 4, 1, 3, 5, 3, 2, 5, 3, 3, 3, 3, 4, 2, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5, 3, 3, 5, 4, 4, 4], "3058": [3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 2, 2, 3, 4, 5, 5, 3, 3, 1, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 2, 5, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 3, 3, 4, 3, 5, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 3, 4, 4, 1, 4, 3, 5, 3, 5, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 3, 5, 2, 4, 3, 5, 5, 1, 5, 3, 4], "90": [3, 3, 4, 5, 3, 3, 3, 2, 3, 5, 3, 2, 3, 3, 5, 5, 3, 3, 2, 3, 5, 3, 2, 2, 3, 5, 2, 4, 3, 5, 4, 3, 3, 2, 3, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 5, 2, 4, 3, 3, 3, 4, 4, 3, 4, 2, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 1, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 3, 5, 5, 4, 3, 2, 3, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 3, 4, 5, 5, 3, 3, 3, 5, 3, 4, 4, 3, 2, 4, 3, 3], "5803": [4, 5, 1, 1, 2, 4, 4, 3, 3, 5, 1, 1, 1, 4, 3, 3, 5, 3, 5, 1, 2, 5, 5, 3, 4, 1, 2, 4, 1, 1, 3, 3, 1, 5, 4, 2, 1, 3, 4], "3621": [4, 3, 5, 1, 5, 5, 5, 5, 2, 2, 1, 5, 5, 4, 4, 3, 4, 2, 5, 5, 3, 3, 2, 2, 2, 4, 4, 3, 5, 5, 4, 2, 4, 1, 2, 1, 3, 5, 3, 5, 2, 3, 4, 4, 4, 1, 5, 2, 5, 5, 4, 2, 4, 5, 4, 1, 3, 3, 5, 5, 5, 2, 3, 1, 1, 3, 3, 3, 1, 4, 5, 4, 1, 3, 2, 4, 3, 3, 4, 1, 3, 1, 1, 1, 4, 1, 1, 3, 5, 2, 4, 2, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 4, 5, 1, 3, 1, 1, 3, 4, 1, 4, 2, 1, 4, 2, 2, 4, 2, 2, 5, 5, 3, 1, 5, 1, 4, 3, 3, 1, 3, 4, 5, 2, 5, 5, 3, 3, 5, 3, 2, 2, 2, 3, 4, 3, 3, 1, 2, 3, 2, 5, 5, 3, 2, 4, 5, 1, 4, 2, 5, 3, 4, 5, 3, 5, 5, 4, 1, 2, 5, 4, 3, 3, 5, 4, 4, 1, 4, 4, 4, 4, 1, 4, 5, 5, 4, 2, 4, 3, 3, 3, 1, 4, 4, 3, 4, 4, 2, 2, 4, 5, 3, 2, 3, 3, 3, 3, 1, 1, 3, 4, 3, 1, 4, 3, 4, 2, 2, 5, 4, 3, 3, 2, 1, 4, 3, 3, 4, 5, 4, 5, 4, 1, 1, 4, 5, 4, 1, 3, 2, 4, 2, 2, 4, 4, 4, 2, 3, 2, 1, 2, 1, 5, 1, 3, 2, 2, 2, 2, 5, 4, 4, 3, 1, 1, 4, 4, 1, 2, 1, 4, 2, 5, 2, 1, 5, 2, 1, 3, 1, 4, 2, 4, 4, 2, 5, 3, 3, 3, 3, 3, 5, 1, 5, 4, 5, 5, 3, 3, 3, 2, 3, 3, 2, 2, 5, 5, 5, 4, 4, 3, 1, 4, 2, 5, 5, 2, 4, 5, 5, 1, 5, 3, 4, 3, 3, 3, 3, 5, 1, 3, 5, 1, 2, 3, 4, 3, 1, 2, 2, 1, 3, 1, 5, 5], "5591": [4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 2, 4, 5], "662": [4, 2, 3, 4, 3, 3, 4, 3, 2, 4, 2, 3, 4, 3, 3, 4, 4, 2, 2, 4, 5, 4, 1, 3, 3, 3, 4, 3, 4, 4, 2, 3, 3, 3, 1, 1, 1, 4, 4, 2, 2, 3, 4, 3, 4, 3, 3, 4, 5, 3, 2, 1, 5, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 1, 2, 3, 4, 4, 4, 2, 4, 3, 4, 3, 3, 3, 5, 3, 2, 1, 3, 4, 1, 2, 3, 2, 1, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 1, 5, 3, 1, 4, 4, 5], "2139": [1, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 1, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 3], "5973": [5, 4, 4, 5, 2, 3, 5, 5, 5, 4, 5, 3, 5, 5, 5, 2, 5, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4], "3678": [4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 1, 5, 1, 4, 3, 4, 3, 3, 5, 4, 3, 1, 1, 3, 4, 5, 3, 1, 3, 3, 3, 4, 3, 2, 1, 4, 2, 4, 1, 4, 3, 3, 1, 5, 2, 4, 4, 5, 2, 4, 3, 2, 5, 3, 4, 3, 4, 1, 3, 2, 1, 2, 2, 3, 5, 5, 4, 4, 4, 3, 3, 2, 2, 4, 5, 2, 4, 1, 4, 1, 2, 3, 3, 2, 3, 3, 3, 3, 4, 5, 2, 1, 2, 2, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 3, 4, 5, 3, 4, 4, 3, 4, 2], "2091": [5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 2, 4, 5, 3, 1, 3, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 2, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 2, 1, 4, 5, 4], "3388": [4, 3, 4, 5, 3, 3, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 3, 1], "1476": [2, 3, 5, 3, 5, 4, 4, 3, 3, 5, 4, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 3, 3, 2, 4, 5, 4, 4, 5, 4, 5, 2, 5, 2, 4, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4], "1642": [4, 4, 3, 2, 5, 2, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 2, 2, 5, 5, 2, 4, 4, 1, 4, 2, 5, 3, 3, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 2, 4, 3, 3, 3, 3, 3, 4, 4, 1, 4, 3, 2, 4, 5, 3, 2, 2, 4], "1045": [4, 3, 5, 3, 5, 4, 4, 3, 5, 1, 4, 1, 3, 5, 4, 4, 4, 4], "2808": [4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 3, 3, 4, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 3, 4, 3, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4], "5157": [4, 1, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 2, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5], "4530": [4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 5, 4], "3494": [5, 5, 4, 5, 1, 5, 3, 5, 4, 5, 2, 3, 3, 3, 2, 4], "3193": [4, 4, 4, 4, 1, 4, 5, 4, 2, 4, 4, 3, 5, 3, 3, 4, 4, 1, 2, 2, 3, 3, 2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 4, 5, 2, 3, 5, 4, 4, 2, 2, 3, 5, 4, 4, 3, 2, 1, 2, 4, 4, 2, 2, 2, 4, 3, 3, 3, 2, 2, 4, 2, 3, 1, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 2, 4, 2, 5, 4, 4, 3, 5, 4, 2, 3, 2, 5, 5, 5, 3, 3], "5943": [4, 5, 4, 3, 5, 5, 5, 5, 3, 2, 4, 2, 4, 3, 5, 5, 3, 4, 5, 4, 5, 2, 5, 5, 5, 5, 4, 2, 4, 5, 2, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 1, 5, 4, 5, 3, 1, 3, 5, 4, 4], "3088": [3, 3, 5, 4, 5, 5, 3, 5, 4, 3, 3, 4, 5, 4, 1, 4, 5, 4, 5, 4, 3, 5, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3], "3805": [4, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 5, 4, 5, 5, 5, 4, 4, 2, 2, 5, 4, 5, 4, 4, 3, 4, 3, 5, 1, 4, 4, 5], "2261": [4, 5, 3, 5, 5, 2, 4, 1, 3, 2, 3, 4, 5, 3, 3, 3, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 5, 3, 4, 5, 3, 3, 3, 3, 2, 3, 4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 3, 5, 3, 3, 5, 5, 4, 4, 4, 3, 1, 2, 1, 5, 5, 2, 5, 4, 4, 1, 5, 2, 4, 3, 2, 5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 1, 3, 5, 4, 4, 5, 1, 2, 3, 1, 4, 4, 3, 2, 5, 5, 3, 1, 3, 4, 3, 5, 5, 5, 5, 5, 3, 5, 2, 3, 4, 3, 3, 2, 4, 3, 4, 4, 1, 5, 3, 4, 3], "123": [3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 5, 5, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 3, 3, 5, 5, 4, 4, 2, 4, 4, 4, 4, 2, 3, 3, 3, 2, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 2, 5, 5, 3, 4, 3, 1, 3, 3, 4, 4, 3, 3, 2, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 2, 4, 2, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 2, 3, 4, 4, 3, 2, 3, 1, 3, 3, 4, 3, 3, 4, 2, 4, 4, 2, 2, 3, 4, 2, 3, 5, 4, 3, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 2, 3, 2, 1, 4, 1, 3, 5, 2, 3, 1, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 2, 4, 3, 2, 3, 3, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 1, 4, 3, 2, 3, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 5, 5, 4, 3, 2, 3, 4, 3, 4, 5, 4, 4, 3, 5, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 4, 3, 3, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 2, 4, 3, 5, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 2, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 2, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 2, 2], "2559": [4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 2, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 3, 3, 3, 3, 5, 3, 4, 4, 5, 4, 3, 5, 3, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 5, 4, 2, 4, 5, 3, 4, 5, 4, 3, 3, 4, 5, 4, 4, 3, 5, 3, 3, 3, 3, 3, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5], "5079": [4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 3, 2, 2, 1, 5, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 5, 5, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3], "3481": [4, 5, 5, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 2, 3, 5, 4, 4, 4, 4, 3, 4, 3, 5, 2, 3, 4, 4, 3, 5, 2, 4, 4, 4, 4, 5, 3, 2, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3], "5380": [1, 4, 3, 2, 1], "720": [4, 3, 4, 3, 3, 5, 4, 3, 3, 3, 4, 2, 5, 2, 4, 4, 2, 1, 4, 1, 3, 2, 4, 4, 3, 3, 3, 2, 3, 4, 3, 3, 1, 2, 2, 4, 1, 1, 2, 2, 4, 1, 1, 4, 3, 1, 3, 4, 3, 4, 4, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 4, 3, 3, 4, 2, 4, 1, 3, 3, 2, 3, 4, 4, 3, 1, 1, 1, 2, 1, 3, 4, 5, 2, 4, 2, 4, 4, 4, 3, 2, 3, 3, 5, 1, 5, 1, 2, 4, 1, 4, 2, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 4, 3, 2, 3, 4, 2, 3, 2, 4, 4, 3, 5, 1, 1, 3, 4, 4, 5, 1, 3, 4, 4, 1, 4, 2, 3, 4, 4, 2, 4, 1, 4, 4, 4, 4, 2], "4112": [4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 5, 4, 4, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 2, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 5, 4, 3, 3, 5, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4], "5787": [1, 3, 4, 4, 5, 3, 5, 2, 3, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 5, 2, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 1, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 4, 5, 3, 4, 3, 2, 2, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 5, 3, 3, 2, 4, 5, 4, 5, 5, 4, 4, 4, 4, 1, 2, 4, 3, 3, 4, 4, 5, 4, 4, 4, 2, 2, 4, 2, 3, 4, 2, 5, 4, 3, 1, 5, 2, 4, 4, 3, 5, 3, 4, 4, 3, 2, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 5, 1, 3, 4, 2, 4, 4, 4, 5, 4, 4, 3, 3, 2, 5, 4, 3, 3, 3, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 2, 4, 5, 5, 3, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 3, 4, 3, 5, 2, 4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 3, 4, 5, 3, 3, 5, 3, 2, 1, 3, 1, 4, 4, 4, 4, 5, 2, 3, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 3, 5, 3, 4, 2, 5, 2, 4, 2, 3, 5, 2, 2, 4, 3, 4, 4, 5, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 2, 5, 3, 4, 1, 5, 4, 4, 4, 2, 3, 3, 4, 5, 3, 2, 3, 3, 5, 3, 5, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 3, 4, 2, 5, 1, 4, 4, 3, 3, 4, 3, 4, 2, 5, 4, 3, 4, 3, 3, 2, 4, 2, 3, 4, 3, 3, 3, 5, 2, 4, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 5, 5, 4, 2, 3, 2, 2, 3, 2, 3, 4, 4, 4, 3, 2], "1590": [5, 4, 1, 4, 4, 5, 3, 3, 3, 4, 3, 2, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 3, 5, 3, 4, 5, 5], "5831": [3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 4, 1, 1, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 4, 2, 3, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 2, 3, 5, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 2, 4, 5, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 2, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 4, 5, 2, 4, 2, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 3, 2, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 4, 4, 5, 5, 4, 3, 4, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 3, 2, 4, 3, 5, 4, 2, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 1, 3, 2, 3, 3, 3, 4, 2, 2, 4, 3, 1, 1, 1, 5, 1, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 2, 3, 5, 4, 4, 4, 3, 3, 4, 4, 1, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 5, 4, 2, 4, 1, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 1, 4, 2, 4, 3, 5, 4, 3, 2, 3, 4, 4, 4, 5, 2, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3], "2092": [3, 3, 4, 5, 3, 2, 4, 3, 5, 3, 3, 2, 5, 5, 3, 5, 5, 3, 4, 1, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 1, 4, 5, 3, 5, 3, 2, 5, 4, 2, 4, 5, 3, 4, 1, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 2, 4, 5, 4, 4, 3, 3, 3, 3, 4, 1, 5, 5, 5, 4, 4, 3, 2, 3, 3, 2, 1, 5, 3, 4, 4, 2, 3, 3, 3, 4, 4, 2, 4, 3, 4, 5, 5, 5, 2, 4, 3, 4, 3, 3, 5, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 3, 3, 5, 2, 3, 3, 5, 3, 5, 4, 4, 4, 2, 2, 2, 4, 4, 3, 4, 4, 5, 5, 3, 4, 5, 4, 3, 2, 4, 4, 3, 4, 3, 4, 5, 4, 3, 2, 3, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 3, 3, 3, 2, 3, 2, 2, 4, 4, 2, 2, 3, 5, 4, 3, 3, 4, 3, 3, 4, 2, 3, 5, 4, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 1, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 5, 5, 5, 4, 4, 2, 4, 5, 3, 4, 5, 2, 2, 4, 4, 2, 3, 5, 2, 5, 4, 2, 3, 4, 4, 2, 3, 3, 3, 2, 5, 3, 4, 5, 5, 4, 2, 3, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 2, 3, 5, 3, 1, 5, 3, 5, 3, 3, 3, 3, 4, 2, 4, 2, 5, 5, 4, 2, 2, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 5, 3, 5, 2, 2, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 4, 4, 5, 3, 1, 4, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 2, 2, 5, 3, 2, 4, 3, 3, 2, 3, 3, 4, 4, 2, 2, 5, 3, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 2, 3, 3, 2, 3, 3, 1, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4, 2, 1, 3, 4, 4, 4, 3, 4, 3, 3, 2, 3, 2, 2, 4, 2, 3, 3, 3, 2, 4, 4, 5, 2, 5, 4, 3, 5, 5, 5, 2, 5, 2, 4, 5, 4, 4, 3, 4, 2, 5, 5, 3, 5, 4, 5, 3, 5, 3, 5, 2, 3, 3, 5, 2, 4, 5, 5, 4, 4, 3, 4, 4, 4, 1, 5, 3, 4, 3, 2, 3, 2, 3, 4, 1, 5, 2, 3, 4, 4, 4, 4, 2, 5, 4, 3, 5, 4, 5, 2, 4, 3, 4, 2, 3, 3, 4, 2, 3, 3, 3, 5, 4, 3, 3, 4, 3, 2, 4, 5, 5, 4, 4, 2, 4, 3, 4, 4, 3, 3, 3, 2, 5, 3, 3, 3, 4, 3, 4, 2, 4, 4, 3, 4, 3, 2, 3, 3, 5, 5, 1, 4, 5, 2, 1, 4, 3, 3, 5, 4, 5, 3, 2, 2, 5, 4, 3, 2, 4, 5, 5, 5, 2, 3, 4, 3, 5, 3, 4, 3, 2, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 5, 3, 5, 5, 5, 5, 4, 3, 5, 4, 3, 3, 1, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 1, 5, 4, 5, 3, 3, 2, 5, 2, 2, 4, 3, 3, 5, 3, 3, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 4, 5, 4, 5, 3, 4, 1, 5, 5, 5, 4, 2, 4, 5, 2, 3, 5], "3322": [5, 5, 3, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 5, 1, 4, 4, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4], "233": [5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 2, 3, 4], "5167": [3, 3, 4, 4, 2, 5, 5, 5, 4, 1, 5, 3, 4, 2, 3, 3, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 2, 3, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 1, 3, 5, 5, 3, 4, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 4, 3, 3, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 3, 3, 5, 4, 5, 3, 4, 5, 3, 5, 5, 5, 1, 3, 5, 3, 3, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 1, 3, 3, 5], "2160": [1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], "4304": [4, 5, 4, 4, 5, 3, 4, 4, 5, 1, 5, 4, 5, 4, 5, 4, 3], "450": [3, 5, 2, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 5, 3, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5], "4715": [2, 4, 4, 4, 3, 3, 3, 5, 2, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 1, 4, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 1, 5, 2, 4, 2, 3, 4, 3, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 1, 4, 3, 4, 1, 1, 5, 4, 3, 2, 4, 3, 4, 4, 3, 2, 3, 5, 3, 5, 4, 4, 3, 2, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 1, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 2, 5, 4, 4, 3, 2, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 1, 4, 3, 3, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 4, 5, 3, 3, 2, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 1, 4, 5, 5, 3, 5, 4, 3, 4, 4, 3, 1, 1, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 1, 3, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 5, 3, 4, 5, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5, 4, 2, 3, 5, 5, 3, 2, 3, 5, 5, 2, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 1, 5, 4, 3, 3, 4, 5, 3, 4, 1, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 3, 3, 5, 3, 2, 1, 4, 3, 4, 2, 4, 2, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 2, 1, 3, 2, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 1, 4, 1, 5, 2, 4, 4, 5, 4, 4, 4, 3, 5, 5, 5, 3, 3, 4, 4, 2, 2, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 5, 3, 4, 3, 2, 4, 5, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 2, 4, 2, 3, 3, 2, 1, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 4, 4, 2, 5, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4], "5188": [3, 1, 5, 2, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 5, 3, 3, 3, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 2, 4, 5, 4, 5, 5, 5, 5, 5, 1, 5, 5, 4, 4, 4, 5, 3, 4, 5, 2, 5, 4, 2, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 1, 4, 4, 2, 5, 5, 5, 4], "5259": [5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 1, 4, 5, 2, 5, 4, 5, 5, 3, 3, 2, 5, 3, 5, 4], "1393": [4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 2, 5, 1, 3, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 1, 3, 4, 4, 4, 4, 5, 2, 5, 4, 4, 5, 5, 5, 2, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 5, 3], "1144": [4, 4, 3, 3, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3], "5151": [3, 3, 3, 1, 2, 3, 3, 1, 1, 1, 4, 4, 5, 2, 3, 3, 4, 1, 1, 3, 3, 5, 3, 5, 2, 2, 3, 4, 2, 1, 1, 3, 2, 5, 3, 2, 2, 4, 1, 3, 3, 3, 2, 2, 4, 4, 1, 3, 5, 3, 1, 5, 3, 2, 4, 3, 3, 2, 2, 1, 3, 5, 5, 4, 1, 4, 2, 1, 4, 3, 2, 4, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 3, 5, 4, 5], "865": [4, 4, 5, 3, 4, 3, 4, 2, 4, 4, 2, 4, 3, 3, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 3, 4, 4, 5, 3, 5], "343": [5, 3, 5, 5, 5, 4, 5, 4, 2, 5, 5, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 2, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 2, 5, 3, 4, 4, 3, 5, 3, 2, 5, 4, 4, 5, 4, 2, 5, 5, 4, 5, 3, 4, 1, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 1, 3, 2, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 5, 4, 1, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 2, 3, 4, 4, 5, 5, 3, 1, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 4, 4, 3, 2, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 3], "4616": [4, 5, 5, 3, 2, 5, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 3, 2, 5], "5881": [3, 4, 3, 4, 5, 4, 5, 3, 3, 3, 3, 5, 5, 3, 2, 2, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 1, 4, 5, 3, 4, 5, 3, 2, 3, 2, 3, 3, 5, 3, 4, 4, 4, 4, 3, 5, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 2, 4, 4, 5, 5, 5, 5, 2, 5, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 5, 3, 3, 4, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 5, 3, 4, 3, 3, 2, 4, 5, 3, 3, 2, 4, 3, 4, 5, 4, 5, 2, 2, 5, 4, 4, 4, 2, 4, 3, 5, 3, 3, 3, 4, 2, 4, 5, 3, 4, 1, 5, 4, 3, 5, 3, 3, 3, 4, 3, 2, 4, 5, 3, 3, 5, 3, 3, 3, 3, 5, 4, 5, 5, 4, 3, 5, 3, 5, 3, 3, 4, 3, 4, 2, 3, 3, 4, 1, 3, 3, 4, 5, 4, 3, 5, 3, 3, 4, 5, 3, 2, 5, 3, 4, 5, 5, 2, 3, 3, 2, 3, 4, 5, 4, 1, 4, 3, 4, 4], "4287": [1, 1, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 2, 2, 2, 4, 2, 5, 2, 4, 4, 4, 5, 2, 2, 4, 4, 3, 4, 3, 3, 2, 2, 4, 1, 5, 5, 3, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 3, 2, 4, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 1, 4, 4, 4, 3, 5, 4, 2, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 5, 4, 2, 5, 4, 5, 3, 4, 3, 1, 4, 3, 4, 4, 4, 5, 5, 5, 2, 2, 3, 4, 2, 4, 5, 3, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 3, 4, 2, 1, 4, 3, 5, 4, 5, 3, 3, 4, 5, 4, 1, 3, 4, 4, 4, 4, 2, 5, 4, 5, 3, 2, 5, 3, 5, 4, 5, 4, 2, 1, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 1, 4, 5, 3, 5, 4, 4, 3, 3], "77": [3, 3], "4729": [1, 4, 2, 4, 4, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 2, 4, 4, 3, 4, 5, 2, 2, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 2, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 2, 1, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 2, 5, 4, 3, 4, 3, 5, 4, 4, 3, 1, 5, 5, 3, 3, 4, 3, 4, 3, 4, 5, 3, 3, 3, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4], "5132": [4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 5, 5, 4, 1, 5, 5, 5, 5, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 5, 4, 3, 2, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3], "840": [4, 5, 5, 1, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 2, 1, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 4, 4, 4, 5, 5, 5, 3, 1, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 2, 3, 1, 4, 5, 5, 5, 5, 3, 5, 4, 5, 1, 5, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 1, 5, 4, 4, 5, 4, 2, 4, 5, 5, 1, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 1, 3, 3, 5, 5, 3, 4, 1, 4, 4, 5, 5, 5, 5, 2, 3, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 4, 1, 1, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 3, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 1, 5, 1, 5, 4, 4, 5, 3, 5], "5440": [5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5], "4264": [4, 3, 4, 3, 5, 3, 5, 2, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4], "1858": [4, 5, 5, 5, 3, 5, 3, 4, 3, 5, 4, 2, 4, 3, 5, 5, 1, 1, 4, 3, 2, 2, 2, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 2, 5, 3, 3, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 2, 5, 5, 3, 2, 4, 5, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4], "4534": [3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 2, 2, 5, 4, 4, 5, 2, 3, 3, 3, 5, 4, 2, 5, 3, 3, 5, 3, 2, 5, 4, 5, 5, 5, 3, 4, 5, 3, 4, 2, 4, 3, 3, 4, 3, 3, 2, 5, 2, 4, 2, 5, 1, 4, 4, 1, 5, 3, 5, 4], "1124": [4, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 5, 3, 3, 5, 5, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 2, 3, 1, 4, 5, 2, 4, 5, 5, 1, 5, 4, 5, 5, 5, 3, 5, 2, 4, 1, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 5, 2, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 4, 4, 4, 1, 5, 4, 3, 5, 3, 3, 5, 4, 3, 2, 5, 5, 4, 5, 4, 4, 1, 5, 4, 3, 5, 3, 3, 3, 3, 5, 5, 5, 2, 3, 3, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 3, 5, 5, 5, 4, 3, 3, 4, 3, 1, 3, 2, 5, 3, 4, 3, 3, 4, 5, 3, 3, 5, 5, 5, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 5, 2, 5, 5, 4, 3, 4, 3, 5, 5, 4, 2, 1, 4, 5, 5, 4, 3, 4, 3, 3, 5, 4, 4, 4, 2, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 1, 4, 2, 3, 5, 4, 2, 3, 1, 3, 5, 4, 3, 4, 3, 4, 5, 3, 2, 4, 3, 5, 5, 4, 3, 3, 3, 4, 5, 3, 5, 2, 3, 2, 3, 3, 3, 4, 3, 5, 4, 5, 2, 5, 1, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 3, 5, 4, 3, 1, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 3, 4, 5, 2, 3, 2, 3, 4, 5, 3, 2, 4, 5, 5, 4, 5], "4846": [3, 3, 2, 4, 5, 4, 4, 4, 4, 3, 3, 3, 2, 3, 5, 4, 3, 2], "4415": [5, 5, 4, 5, 2, 3, 1, 3, 3, 5, 4, 3, 2, 1, 1, 1, 5, 4, 2, 3, 3, 5, 4, 5, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 1, 5, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 2, 4, 5, 5, 4, 3, 5, 3, 5, 3, 1, 5, 3, 5, 1, 3, 3, 2, 5, 3, 5], "4988": [4, 4, 4, 5, 4, 4, 4, 1, 2, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 4, 3], "4694": [4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 3, 5, 4, 4, 5, 4, 5, 3, 4, 4, 3, 5, 2, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 2, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5], "3865": [4, 4, 5, 5, 4, 2, 3, 1, 2, 2, 2, 3, 2, 3, 2, 5], "5237": [3, 3, 2, 4, 3, 3, 3, 3, 2, 4, 5, 1, 5, 2, 3, 5, 2, 5, 4, 2, 3, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 2, 3, 4, 4, 4, 1, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4], "1117": [5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 1, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 5, 2, 2, 5, 5, 5, 3, 3, 4, 4, 4, 3, 5, 4, 2, 4, 3, 3, 4, 5, 3, 5, 4, 4, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 2, 4, 4, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 4, 1, 4, 3, 4, 3, 3, 4, 4, 5, 4, 1, 5, 3, 4, 4, 4, 4, 5, 3, 2, 2, 5, 4, 3, 1, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 2, 3, 3, 5, 2, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 5, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 2, 4, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 1, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 1, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 2, 3, 3, 2, 4, 4, 2, 2, 5, 4, 4, 4, 3, 2, 2, 5, 3, 4, 4, 4, 4, 1, 4, 3, 5, 4, 3, 4, 4, 4, 2, 2, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 2, 3, 3, 5, 4, 4, 2, 5, 2, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 1, 3, 1, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 2, 4, 3, 5, 4, 3, 3, 4, 5, 3, 1, 5, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 5, 1, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 1, 4, 1, 4, 4, 5, 5, 1, 5, 4, 4, 5, 4, 4, 5, 5, 2, 5, 4, 5, 1, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5], "3450": [4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 3, 3, 4, 1, 1, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 5, 3, 5, 2, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 1, 3, 4, 3, 4, 4, 4, 4, 1, 5, 4, 5, 4, 3, 4, 3, 5, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 1, 5, 4, 3, 5, 3, 4, 4, 5, 5, 4], "631": [3, 4, 3, 2, 3, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 3, 4, 5, 3, 1, 1, 4, 5, 3, 3, 3, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 2, 4, 3, 2, 4, 3, 3, 3, 3, 4, 3, 4, 1, 2, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 1, 3, 3, 4, 2, 3, 5, 3, 5, 4, 3, 3, 5, 2, 5, 5, 5, 4, 5, 2, 5, 3, 5, 2, 4, 4, 5, 2, 5, 3, 4, 4, 4, 3, 3, 2, 5, 1, 5, 3, 4, 3, 5, 5, 3, 3, 4, 3, 4, 1, 3, 5, 3, 1, 3, 3, 5, 4, 5, 5, 4, 3, 4, 3, 1, 4, 4, 1, 4, 5, 3, 5, 3, 3, 3, 4, 4, 3, 4, 3, 1, 4, 4, 5, 3, 4, 4, 5, 2, 5, 4, 4, 3, 4, 3, 3, 2, 1, 1, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 2, 3, 5, 3, 3, 1, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 1, 3, 3, 4, 2, 4, 2, 4, 4, 5, 4, 2, 5, 4, 5, 3, 3, 3, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5], "4814": [3, 3, 4, 3, 4, 5, 4, 1, 4, 5, 3, 4, 3, 1, 4, 3, 2, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 2, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 3, 5, 3, 3, 3, 3, 4, 5, 3, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 2, 3, 1, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 2, 4, 4, 5, 3, 4, 3, 2, 5, 4, 4, 2, 2, 3, 3, 3, 4, 1, 3, 3, 3, 4, 2, 2, 2, 3, 4, 3, 4, 5, 4, 4, 3, 5, 1, 3, 3, 3], "764": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 3, 5, 2, 2, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 2, 5, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 4, 5, 5, 2], "3016": [5, 5, 1, 4, 4, 3, 5, 3, 5, 4, 2, 4, 1, 5, 3, 4, 5, 1, 3, 5, 5, 5, 4, 5, 4, 5], "1251": [4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 2], "1097": [4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 2, 4, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 2, 5, 3, 4, 4, 3, 1, 1, 3, 4, 5, 2, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 1, 4, 3, 4, 3, 5, 4, 2, 4, 2, 3, 4, 3, 1, 4, 3, 4, 1, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 2, 1, 4, 3, 3, 4], "87": [1, 1, 5, 1, 5, 5, 3, 4, 4, 1, 4, 5, 1, 5, 5, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 5, 5, 1, 1, 5, 1, 3, 1, 1, 1, 5, 5, 4, 1, 5, 1, 1, 1, 3, 5, 1, 4], "269": [2, 2, 5, 3, 4, 3, 3, 5, 1, 4, 4, 3, 5, 4, 4], "790": [5, 5, 3, 5, 3, 5, 4, 2, 3, 4, 5, 5, 5, 5], "2435": [5, 5, 4, 3, 4, 4, 4, 5, 3, 4, 2, 4, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 1, 3, 5, 4, 2, 5, 5, 4, 4, 3, 5, 3, 1, 4, 4, 5, 3, 3, 3, 5, 5, 5, 4, 5, 4, 2, 3, 4, 4, 5, 3, 3, 2, 4, 5, 4, 5, 5, 3, 5, 4, 4, 3, 5, 4, 3, 3, 2, 1, 5, 5, 4], "1312": [3, 2, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 1, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 1, 4, 3, 5, 3, 1, 4, 3, 2, 1, 2, 3, 4, 2, 2, 5, 5, 1, 5, 2, 4, 4, 2, 3, 2, 3, 4, 4, 3, 2, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 3, 2, 2, 4, 4, 3, 2, 4, 2, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 1, 2, 4, 2, 2, 4, 3, 4, 5, 4, 3, 4, 3, 4, 1, 5, 5, 3, 4, 1, 4, 4, 5, 4, 4, 5, 2, 4, 3, 5, 3, 4, 4, 3, 2, 3, 1], "2651": [3, 3, 5, 3, 4, 2, 4, 3, 3, 2, 4, 3, 4, 2, 5, 4, 4, 3, 4, 4, 3, 2, 3, 3, 1, 4, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 4, 2, 4, 4, 1, 5, 3, 3, 4, 2, 4, 2, 3, 2, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4], "2388": [4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4], "5391": [4, 4, 4, 3, 1, 4, 1, 4, 5, 4, 4, 4, 3, 4, 4, 3, 2, 3, 4], "2661": [5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 3, 4], "5359": [3, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 3, 2, 3, 4, 3, 4, 3, 1, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 2, 4, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 3, 4, 2, 5, 3, 4, 3, 3, 2, 1, 4, 5, 4, 3, 5, 4, 3, 1, 2, 3, 5, 4, 3, 3, 5, 5, 4, 3, 3, 4, 4, 4, 3, 5, 2, 3, 4, 4, 3, 4, 4, 5, 4, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 3, 4, 2, 4, 5, 3, 5, 5, 3, 2, 5, 2, 3, 5, 5, 2, 3, 4, 3, 4, 5, 5, 3, 5, 2, 4, 3, 5, 4, 3, 5, 4, 3, 5, 5, 2, 3, 4, 3, 3, 3, 4, 3, 3, 2, 5, 5, 5, 2, 3, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 2, 2, 4, 3, 3, 2, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 2, 2, 4, 2, 4, 5, 4, 3, 2, 3, 2, 4, 4, 3, 4, 4, 5, 4, 1, 4, 4, 5, 2, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 4, 2, 3, 3, 5, 4, 2, 3, 4, 5, 4, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 3, 3, 3, 2, 4, 4, 3, 4, 3, 3, 2, 5, 2, 5, 2, 4, 5, 3, 5], "1901": [4, 3, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 4, 5, 2, 3, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 3, 4, 5], "3061": [4, 5, 1, 5, 5, 5, 5, 5, 5, 4, 1, 4, 5, 4, 5, 4, 5, 3, 3, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4], "1036": [5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 2, 5, 3, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 3, 3, 5, 5, 5, 5, 4, 5], "2934": [4, 3, 4, 4, 3, 1, 2, 5, 4, 4, 4, 4, 3, 3, 2, 4, 4, 2, 3, 2, 3, 4, 4, 4, 3, 1, 4, 5, 3, 4, 3, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 5, 3, 4, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5, 4, 4, 4, 5, 5, 5, 3, 2, 3, 4, 3, 2, 2, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 2, 4, 3, 4, 3, 2, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 2, 4, 3, 4, 4, 5, 3, 1, 3, 4, 3, 3, 3, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 5, 3, 4, 4, 2, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 4, 2, 5, 3, 3, 3, 3, 3, 4, 3, 4, 1, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 2, 3, 1, 3, 3, 4, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 2, 2, 2, 4, 3, 4, 3, 2, 3, 3, 2, 3, 3, 5, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 2, 2, 4, 3, 2, 4, 3, 4, 4, 3, 2, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 5, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 5, 3, 3, 4, 3, 5, 3, 3, 3, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 2, 5, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 5, 3, 3, 2, 4, 4, 3, 4, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 2, 4, 2, 1, 4, 4, 4, 1, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 4, 3, 2, 4, 1, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4], "3673": [4, 4, 2, 3, 5, 5, 5, 5, 4, 3, 5, 2, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 2, 5, 3, 4, 5, 3, 5, 4, 4, 4, 3, 5, 4, 5, 3, 3, 4, 4, 3, 4, 4, 5, 1, 4, 3, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 3, 4, 3, 5, 4, 5, 4, 4, 3, 5, 4, 3, 5, 3, 4, 5, 4, 4, 5, 5, 3, 5, 3, 3, 5, 4, 3, 3, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 5, 3, 4, 3, 4, 3, 5, 4, 2, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 2, 4, 3, 4, 2, 2, 5, 3, 5, 3, 5, 1, 5, 3, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 3, 5, 2, 2, 5, 5, 5], "777": [3, 2, 2, 3, 2, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 1, 3, 3, 4, 3, 4, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 1, 3, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 4, 3, 4, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 3, 3, 2, 2, 5, 3, 3, 1, 2, 1, 2, 2, 1, 2, 3, 3, 4, 1, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 1, 3, 2, 3, 1, 3, 3, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 4, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 2, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 3, 2, 1, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 1, 3, 3, 3, 3, 3, 4, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 2, 2, 4, 1, 4, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 3, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 4, 2, 3, 1, 2, 2, 1, 2, 3, 2, 1, 3, 3, 4, 1, 2, 2, 2, 3, 4, 3, 3, 2, 3, 3, 3, 5, 2, 2, 2, 1, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 1, 3, 2, 3, 3, 3, 1, 3, 4, 1, 3, 1, 4, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 2, 4, 3, 1, 2, 1, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 3], "5319": [3, 4, 5, 4, 4, 2, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 2, 3, 4, 3, 5, 3, 3, 5, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 3, 3, 4, 3, 4, 5, 4, 2, 4, 2, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 2, 4, 4, 4, 3, 4, 2, 2, 4, 5, 3, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 2, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 1, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4], "4698": [5, 5, 5, 4, 3, 4], "5050": [5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 2, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 1, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 5], "2479": [5, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 5, 4, 3, 3, 5, 5, 4, 4, 5, 3], "290": [2, 3, 5, 2, 3, 4, 1, 2, 2, 3, 5, 5, 4, 3, 5, 3, 3, 5, 5, 4, 5, 5, 3, 4, 3, 2, 5], "3824": [4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 5, 2, 4, 3, 3, 3, 2, 4, 3, 3, 5, 4, 5, 4, 4, 1, 3, 4, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 4, 5, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 2, 3, 4, 3, 4, 5, 5, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 4, 4, 4, 2, 1, 4, 5, 2, 2, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 5, 3, 1, 1, 4, 2, 3, 1, 2, 1, 4, 2, 5, 5, 3, 4, 5, 3, 2, 3, 2, 4, 2, 3, 3, 4, 2, 2, 3, 3, 3, 3, 4, 4, 2, 3, 3, 1, 3, 2, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 1, 3, 1, 2, 2, 2, 4, 3, 4, 1, 2, 3, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 1, 4, 2, 2, 4, 3, 3, 3, 1, 2, 5, 4, 3, 3, 3, 4, 4, 2, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 4, 3, 1, 4, 3, 4, 3, 2, 2, 2, 1, 1, 4, 3, 3, 1, 1, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 1, 4, 2, 3, 3, 3, 3, 3, 2, 1, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 3, 4, 3, 1, 2, 2, 2, 2, 1, 5, 3, 3, 4, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 3, 1, 3, 4, 2, 4, 4, 3, 3, 2, 3, 2, 3, 2, 3, 3, 5, 3, 4, 5, 2, 4, 3, 2, 4, 3, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 1, 1, 4, 3, 4, 3, 1, 3, 1, 2, 3, 3, 3, 1, 3, 3, 4, 4, 3, 4, 1, 4, 4, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 2, 1, 4, 4, 3, 4, 3, 4, 3, 3, 2, 1, 3, 3, 3, 4, 4, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 5, 3, 4, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 2, 1, 3, 3, 2, 3, 1, 1, 5, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 3, 4, 5, 3, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 2, 2, 3, 4, 3, 5, 3, 2, 4, 3, 3, 1, 3, 4, 3, 1, 3, 2, 3, 2, 3, 4, 2, 3, 3, 4, 3, 3, 2, 1, 3, 5, 4, 3, 2, 1, 1, 3, 5, 3, 5, 4, 1, 3, 2, 2, 2, 2, 3, 4, 3, 3, 4, 2, 1, 2, 2, 3, 1, 4, 1, 1, 1, 3, 4, 3, 1, 3, 4, 1, 3, 4, 3, 2, 2, 4, 2, 3, 3, 4, 4, 2, 4, 2, 2, 3, 2, 3, 3, 3, 4, 2, 2, 3, 4, 3, 2, 4, 3, 5, 4, 4, 3, 3, 4, 3, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 2, 3, 4, 3, 2, 2, 3, 2, 4, 4, 1, 4, 1, 3, 3, 1, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 2, 3, 4, 4, 3, 3, 2, 2, 5, 3, 4, 3, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 4, 3, 3, 1, 3, 3, 4, 3, 4, 2, 5, 3, 3, 5, 4, 3, 2, 1, 2, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 2, 3, 4, 4, 2, 4, 3, 4, 1, 3, 3, 2, 5, 4, 2, 4, 4, 2, 1, 3, 3, 3, 5, 4, 3, 2, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 1, 4, 4, 3, 2, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 5, 2, 3, 1, 2, 1, 4, 2, 3, 1, 3, 2, 4, 1, 5, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 5, 3, 4, 1, 2, 4, 1, 3, 3, 3, 3, 4, 5, 2, 3, 4, 4, 3, 3, 4, 4, 3, 1, 5, 4, 4, 3, 5, 3, 3, 4, 4, 3, 3, 1, 3, 3, 5, 3, 3, 1, 3, 3, 2, 4, 3, 2, 5, 4, 3, 4, 5, 4, 3, 3, 3, 4, 1, 4, 1, 3, 3, 4, 4, 3, 3, 4, 3, 2, 1, 4, 3, 1, 3, 3, 2, 3, 3, 4, 3, 4, 5, 5, 4, 4, 3, 2, 4, 3, 3, 4, 2, 5, 4, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 5, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4], "4833": [5, 4, 5, 3, 2, 4, 5, 4, 4, 5, 3, 4, 5, 5, 3, 2, 5, 5, 5, 4, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 2, 3, 5, 2, 4, 5, 4], "4165": [4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 2, 5, 3, 4, 1, 4, 4, 4, 4, 3, 3, 3, 4, 1, 3, 2, 5, 4, 4], "1043": [4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 4, 2, 4, 4, 3, 4, 4, 5, 4, 5, 3], "4358": [2, 5, 3, 3, 5, 4, 1, 2, 5, 5, 4, 1, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 2, 5, 4, 5], "4942": [4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 5, 4, 3, 5, 3, 5, 3, 4, 5, 4, 3, 1, 4, 3, 3, 3, 5, 3, 4, 4, 3, 4, 3, 1, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 3, 3, 2, 3, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 5, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 2, 3, 5, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5, 3, 4, 4, 3, 2, 1, 5, 3, 3, 3, 3, 4, 3, 3, 1, 4, 4, 5, 4, 4, 3, 3, 4, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 5, 2, 5, 3, 2, 3, 4, 4, 3, 2, 3, 2, 2, 3, 3, 4, 3, 5, 2, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 1, 4, 3, 1], "2143": [4, 5, 4, 1, 4, 3, 3, 3, 3, 4, 3, 4, 2, 1, 4, 4, 4, 1, 3, 4, 2, 2, 2, 4, 2, 4, 2, 3, 4, 3, 2, 2, 4, 2, 4, 4, 4, 3, 2, 5, 5, 3, 4, 1, 2, 2, 3, 3, 1, 3, 3, 4, 4, 3, 2, 1, 4, 2, 2, 4, 3, 3, 2, 2, 4, 4, 1, 2, 2, 3, 3, 2, 4, 4, 3, 4, 4, 4, 2, 4, 1, 4, 4, 4, 5, 2, 3, 4, 3, 4, 3], "1907": [4, 4, 2, 5, 5, 1, 4, 4, 3, 1, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 2], "3815": [5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 4, 3, 3, 5, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 3, 5, 2, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4], "1218": [3, 4, 2, 5, 3, 2, 3, 4, 2, 2, 3, 5, 4, 4, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 2, 1, 3, 4, 2, 5, 2, 2, 4, 1, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 1, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 2, 1, 1, 2, 4, 2, 4, 4, 3, 5, 2, 4, 3, 3, 4, 4, 4, 3, 4, 1, 5, 4, 4, 4, 3, 5, 3, 3, 5, 3, 2, 3, 2, 4, 3, 3, 2, 3, 3, 4, 5, 3, 4, 5, 4, 5, 5, 4, 4, 3, 2, 1, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3, 3, 5, 3, 4, 4, 5, 4, 3, 2, 5, 4, 3, 1, 3, 5, 4, 4, 1, 3, 4, 4, 2, 5, 4, 3, 4, 3, 4, 4, 2, 3, 2, 2, 3, 1, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 2, 4, 3], "4043": [4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 1, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 5, 3, 4, 3, 2, 4, 4, 3, 3, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 2, 4, 4, 5, 3, 4, 4, 3, 4], "3758": [4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 1, 2, 3, 4, 5, 3, 2, 3], "3461": [5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4], "1249": [5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 5, 4, 5], "5386": [4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4], "1926": [5, 5, 4, 1, 5, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 2, 4, 2, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 2, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 1, 4, 4, 5, 3, 4, 2, 4, 4, 4, 1, 4, 5, 4, 2, 3, 4, 4, 4, 4, 1, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 2, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 4, 3, 5, 2, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 2, 4, 5, 3, 5, 4, 5, 4, 4, 5, 3, 2, 3, 2, 5, 2, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 2, 5, 4, 2, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 2, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 2, 2, 4, 5, 3, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 1, 4, 3, 4, 4, 1, 2, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 4, 2, 4, 2, 1, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 1, 4, 1, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 2, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 1, 5, 5, 3, 4, 5, 2, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 2, 5, 4, 4, 4, 4, 4, 5, 4, 5, 2, 5, 4, 5, 5, 3, 5, 2, 4, 4, 5, 4, 5, 5], "4879": [3, 4, 3, 5, 4, 4, 2, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 2, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 1, 4, 4, 3, 3, 3, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 1, 5, 4, 5, 3, 3, 4, 3, 4, 3, 3, 2, 1, 4, 3, 2, 3, 4, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 5, 2, 2, 2, 4, 2, 5, 5, 5, 2, 2, 2, 4, 5, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 1, 4, 3, 5, 4, 1, 4, 4, 3, 2, 4, 2, 4, 3, 3, 2, 2, 3, 2, 3, 3, 4, 3, 5, 5, 4, 4, 1, 3, 3, 2, 1, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 5, 4, 4, 3, 5, 4, 4, 5, 2, 4, 1, 3, 5, 4, 4, 4, 5, 3, 4, 3, 1, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 1, 5, 4, 5, 5, 5, 2, 3, 4, 4, 3, 3, 5, 2, 5, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 2, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 5, 2, 4, 2, 4, 4, 2, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 2, 2, 4, 3, 4, 3, 2, 2, 3, 2, 4, 5, 4, 4, 5, 3, 2, 3, 3, 4, 3, 4, 3, 3, 1, 4, 2, 3, 2, 2, 4, 5, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 1, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 2, 4, 4, 4, 5, 4, 2, 5, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 3, 1, 4, 3, 1, 4, 2, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 2, 4, 2, 1, 4, 4, 2, 5, 2, 1, 3, 4, 2, 5, 4, 3, 2, 3, 3, 5, 2, 4, 2, 3, 4, 4, 4], "704": [3, 2, 5, 5, 2, 4, 2, 3, 5, 3, 3, 3, 4, 4, 1, 3, 4, 3, 2, 2, 1, 3, 4, 3, 2, 3, 3, 3], "4146": [5, 4, 5, 4, 3, 1, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 2, 5], "4782": [5, 2, 3, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 1, 5, 5, 4, 3, 5, 3, 3, 5, 4, 3, 4, 2, 2, 4, 4, 4, 5, 3, 1, 5, 2, 5, 1, 3, 5, 4, 4, 3, 5, 3, 5, 5, 1, 1, 5, 4, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 4, 2, 4, 5, 5, 3, 3, 5, 2, 4, 3, 3, 5, 3, 5, 1, 5, 2, 3, 5, 5, 4, 4, 4, 5, 3], "778": [5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 3, 2, 4, 4, 5, 2, 4, 5, 3, 4, 4, 2, 3, 2, 3, 3, 3, 2, 5, 2, 5, 2, 3, 3, 5, 4, 4, 5, 2, 5, 5, 4, 5, 3, 4, 4, 2, 3, 4, 3, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 3, 4, 3, 1, 4, 3, 4, 3, 5, 5, 4, 4, 2, 3, 4, 5, 5, 5, 3, 3, 5, 5, 4, 3, 3, 5, 5, 3, 5, 2, 2, 2, 3, 5, 5, 2, 3, 5, 4, 3, 4, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 2, 5, 3, 5, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 2, 3, 3, 5, 5, 4, 4, 2, 5, 4, 4, 3], "3847": [3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 4, 4, 3, 3, 2, 2, 2, 4, 2, 3, 4, 3, 4, 4, 2, 3, 4, 4, 3, 3, 2, 4, 1, 4, 4, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 4, 1, 4, 2, 3, 3, 3, 2, 1, 2, 2, 4, 3, 2, 4, 3, 3, 3, 2, 3, 1, 3, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 2, 1, 4, 4, 3, 3, 4, 3, 3, 3, 2, 1, 3, 1, 3, 3, 4, 2, 3, 3, 3, 3, 3, 5, 3, 2, 3, 3, 3, 1, 2, 4, 4, 3, 3, 1, 3, 3, 4, 3, 3, 5, 2, 2, 3, 1, 4, 2, 3, 1, 2, 4, 3, 1, 3, 3, 3, 2, 4, 4, 2, 3, 4, 3, 3, 3, 3, 3, 1, 5, 4, 5, 3, 3, 3, 2, 2, 3, 2, 4, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 1, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 2, 3, 3, 4, 3, 2, 3, 2, 2, 3, 1, 3, 3, 1, 2, 3, 2, 3, 3, 2, 4, 2, 2, 3, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 2, 4, 2, 2, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 5, 4, 4, 3, 2, 4, 3, 4, 1, 3, 3, 1, 3, 3, 2, 2, 4, 3, 4, 1, 4, 3, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 4, 3, 2, 3, 3, 4, 2, 4, 1, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 3, 4, 1, 3, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 3, 2], "2450": [4, 5, 3, 4, 4, 4, 2, 3, 4, 2, 4, 4, 3, 3, 3, 3, 2, 4, 4, 4, 4], "5176": [3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 3], "3752": [3, 4, 4, 1, 5, 5, 3, 3, 4, 2, 4, 4, 3, 3, 3, 5, 3, 2, 5, 4, 3, 4, 3, 1, 5, 3, 2, 3, 3, 2, 4, 4, 4, 4, 3, 3, 5, 1, 4, 5, 3, 2, 1, 5, 5, 3, 5, 5, 4, 5, 2, 4, 5, 2, 4, 5, 3, 2, 1, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 1, 3, 3, 4, 2, 4, 2, 1, 1, 2, 5, 3, 4, 3, 5, 4, 4, 3, 3, 1, 3, 3, 4, 3, 4, 2, 3, 2, 4, 3, 2, 1, 4, 4, 4, 2, 1, 3, 4, 4, 4, 4, 3, 1, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 2, 3, 5, 3, 4, 2, 1, 5, 2, 1, 1, 5, 3, 2, 5, 3, 4, 4, 3, 4, 4, 5, 4, 5, 1, 1, 1, 2, 4, 5, 3, 3, 4, 3], "1258": [4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 2, 4, 5, 4, 3, 4, 4, 4, 5, 2, 5, 3, 2, 5, 4, 4, 5], "3087": [4, 5, 2, 5, 4, 3, 3, 5, 5, 4, 5, 1, 5, 5, 1, 4, 4, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 4, 5, 5, 3, 5, 2, 5, 4, 3, 4, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 2, 5, 3, 2, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 2, 1, 2, 3, 2, 4, 4, 5, 5, 4, 3, 5, 4, 5, 1, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 1, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 2, 5, 5, 4, 5, 4, 4, 3, 2, 3, 5, 4, 4, 3, 4, 4, 4, 3, 2, 4, 1, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 5, 3, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 2, 4, 3, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 1, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 2, 5, 5, 1, 4, 5, 5, 3, 5, 4, 4, 4, 5, 5, 1, 4, 2, 5, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 2, 1, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3], "196": [3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 4, 5], "5379": [4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 2], "3459": [5, 5, 5, 2, 3, 4, 3, 3, 5, 2, 4, 4, 2, 3, 2, 5, 5, 4, 5, 5, 4], "2743": [4, 4, 4, 5, 2, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 3, 2, 4, 3, 3, 4, 3, 3, 3, 3, 5, 4, 4, 4, 2, 5, 4, 3, 4, 3, 4, 5, 4, 4, 3, 5, 4, 1, 4, 5, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 3, 5, 1, 4, 2, 4, 3, 3, 5, 4, 3, 5, 4, 4, 1, 2, 4, 5, 4, 5, 5, 4, 3, 3, 4, 2, 4, 4, 2, 2, 5, 4, 4, 4, 2, 4, 3, 2, 4, 5, 4, 2, 4, 3, 5, 5, 5, 3, 1, 5, 4, 4, 3, 5, 4, 4, 4, 2, 5, 5, 3, 4, 3, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 2, 4, 4, 3, 2, 3, 3, 4, 3, 4, 2, 4, 1, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 2, 4, 1, 4, 5, 2, 3, 3, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 5, 3, 5, 3, 5, 3, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 2, 4, 3, 3, 3, 3, 2, 4, 3, 1, 2, 2, 4, 3, 4, 4, 2, 3, 4, 3, 5, 3, 4, 4, 5, 2, 3, 1, 4, 4, 4, 3, 5, 2, 4, 4, 5, 3, 5, 3, 2, 3, 5, 2, 4, 3, 3, 3, 3, 2, 5, 5, 3, 4, 4, 4, 4, 5, 4, 2, 5, 4, 2, 4, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 1, 4], "4501": [5, 5, 4, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 2, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 5, 3, 4, 5, 4, 5, 5, 1, 4, 2, 5, 2, 4, 4, 5, 4, 2, 3, 4, 5, 5, 4, 4], "1317": [4, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 1, 4, 4, 4, 4, 4, 3, 1, 4, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 5, 4, 2, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 3, 2, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 2, 5, 1, 4, 5, 4, 3, 2, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 2, 5, 4, 2, 3, 5, 3, 4, 4, 4, 4, 5, 2, 4, 3, 5, 4, 4, 5, 5, 3, 3, 5, 3, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 2, 4, 5, 3, 1, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 2, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 2, 1, 3, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 2, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 5, 5, 4, 3, 3, 4, 2, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 1, 3, 4, 3, 4, 2, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 5, 4, 1, 5, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 5, 5, 2, 4, 3, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 2, 3, 5, 4, 1, 4, 1, 4, 3, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 2, 3, 4, 5, 3, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 4, 5, 4, 3, 3], "297": [4, 4, 3, 4, 5, 5, 3, 5, 3, 4, 2, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 2, 5, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 5, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 5, 5, 2, 3, 5, 3, 5], "5703": [4, 3, 5, 2, 5, 4, 4, 5, 4, 5, 3, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 4, 5, 2, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 1, 4, 4, 3, 5, 5, 1, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 3], "2149": [4, 2, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 2, 4, 4, 3, 5, 5, 3, 5, 4, 4, 3, 2, 3, 5, 2, 4, 5, 3, 4, 5, 3, 5, 3, 4, 3, 2], "5924": [3, 4, 4, 3, 4, 4, 3, 3, 5, 4, 2, 2, 1, 4, 4, 5, 4, 2, 2, 4, 2, 4, 2, 3, 2, 2, 5, 2, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 5, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 2, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 5, 4, 1, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 5, 1, 5, 2, 2, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4], "1214": [4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 3, 2, 5, 3, 5, 2, 4, 5, 3, 3, 1, 3, 3, 1, 4, 3, 3, 1, 4, 2, 2, 3, 2, 3, 1, 3, 4, 2, 3, 3, 3, 2], "1652": [5, 3, 4, 2, 3, 5, 2, 4, 3, 3, 5, 3, 4, 5, 5, 3, 4, 5, 2, 4, 3, 3, 2], "5958": [5, 3, 3, 4, 3, 4, 2, 5, 5, 5, 4, 5, 2, 2, 3, 3, 3, 4, 5, 5, 4, 4, 1, 1, 4, 3, 4, 3, 5, 5, 4, 5, 1, 5, 5, 5, 3, 3, 5, 2, 4, 5, 5, 5, 3, 5, 1, 4, 4, 2, 5, 5, 4, 5, 2, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 2, 5, 5, 3, 5, 3, 3, 2, 3, 3, 5, 2, 5, 3, 2, 4, 5, 3, 5, 4, 3, 5, 4, 4, 5, 3, 3, 5], "3839": [5, 1, 5, 3, 2, 5, 3, 3, 5, 3, 1, 1, 1, 4, 5, 3, 3, 3, 3, 4, 5, 3, 4, 2, 1, 3, 4, 1, 4, 5, 1, 4, 3, 3, 4, 5, 2, 4, 3, 5, 4, 3, 3, 2, 4, 2, 3, 5, 4, 4, 4, 2, 4, 4, 2, 4, 3, 4, 1, 5, 4, 5, 4, 4, 3, 4, 2, 4, 4, 3, 3, 4], "5706": [4, 5, 3, 5, 5, 4, 4, 3, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 3, 4, 4, 5, 3, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 2, 4, 5, 4, 5, 2, 5, 5, 1, 1, 3, 5, 5, 3, 5, 5, 5, 2, 5, 5, 5, 1, 4, 4, 4, 5, 5, 2, 3, 3, 5, 5, 2, 5, 1, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 3, 3, 5, 5, 1, 2, 3, 2, 3, 5, 5, 3, 5, 4, 5, 3, 2, 3, 3, 5, 3, 3, 4, 5, 5, 5, 2, 4, 4, 5, 3, 4, 1, 5], "991": [3, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 2, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 3, 3, 5, 4, 2, 3], "2966": [5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 4, 3, 3, 4, 3, 1, 3, 5, 4, 3, 2, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 5, 4, 4, 3, 5, 5, 4, 3, 5, 2, 3, 5, 4, 4, 2, 3, 3, 3, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 2, 5, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 4, 5, 3, 2, 4, 3, 4, 3, 2, 4, 5, 5, 5], "1268": [4, 5, 2, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 2, 2, 5, 4, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 1, 3, 4, 1, 3, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 2, 5, 5, 5, 5, 5, 4, 5, 1, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 5, 2, 4, 5, 3, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 2, 4, 4, 3, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 1, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 4, 4, 5, 5, 5, 5, 5, 1, 5, 3, 5, 5, 5, 5, 3, 5, 5], "2636": [4, 4, 2, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4], "5573": [4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 1, 4, 4, 2, 2, 5, 4, 4, 3, 3, 5, 4, 3, 2, 3, 5, 2, 4, 4, 4, 2, 5, 1, 5, 3, 2, 4, 5, 4, 3, 3, 4, 4, 4, 2, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 2, 4, 5, 3, 5, 4, 4, 5, 5, 3, 2, 2, 5, 5, 4, 5, 4, 2, 5, 5, 5, 3, 4, 3, 2, 4, 5, 5, 5, 2, 3, 3, 5, 4, 5, 5, 3, 4, 5, 5, 1, 4, 3, 5, 3, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 3, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 2, 5, 4, 4, 5, 4, 2, 5, 2, 4, 4, 4, 5, 5, 3, 4, 2, 3, 5, 2, 5, 5, 1, 3, 5, 4], "4035": [3, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 2, 2, 5, 5, 3, 4, 4, 3, 4, 5, 3, 5, 4, 3, 2, 4, 3, 5, 4, 5, 4], "5256": [2, 3, 2, 3, 4, 2, 3, 4, 4, 5, 3, 2, 3, 3, 4, 2, 4, 2, 5, 5, 2, 4, 3, 4, 3, 4, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 1, 3, 2, 4, 3, 1, 2, 4, 4, 5, 3, 3, 4, 4, 4, 2, 5, 4, 4, 3, 2, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 5, 3, 4, 2, 3, 4, 5, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 5, 3, 3, 2, 3, 3, 2, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 2, 4, 3, 2, 3, 5, 4, 2, 3, 4, 2, 4, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 2, 5, 3, 5, 4, 4, 4, 2, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 5, 4, 4, 3, 3, 4, 1, 4, 4, 3, 4, 4, 3, 4, 2, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 5, 3, 3, 3, 3, 4, 4, 3, 2, 3, 5, 3, 4, 3, 3, 4, 2, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 5, 3, 4, 4, 2, 2, 3, 4, 2, 3, 2, 3, 4, 4, 3, 4, 5, 3, 4, 3, 5, 3, 2, 3, 3, 5, 3, 2, 3, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 1, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 2, 5, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 2, 3, 1, 5, 4, 5, 3, 5, 4, 5, 3, 4, 4, 3, 2, 3, 3, 5, 3, 4, 4, 1, 5, 4, 4, 4, 5, 5, 4, 2, 2, 4, 5, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 3, 3, 2, 5, 2, 4, 3, 4, 4, 1, 4, 5, 3, 3, 5, 4, 3, 4, 5, 4, 5, 5, 2, 3, 3, 5, 3, 5, 4, 3, 2, 3, 4, 4, 4, 4, 2, 4, 3, 2, 4, 2, 4, 3, 3, 3, 2, 4, 2, 5, 2, 5, 3, 2, 4, 5, 4, 3, 2, 4, 5, 4, 2, 2, 3, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 1, 4, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 4, 4, 4, 2, 2, 5, 4, 3, 4, 5, 3, 3, 2, 3, 2, 5, 2, 2, 2, 4, 5, 3, 4, 2, 2, 3, 3, 3, 3, 2, 2, 5, 3, 3, 1, 3, 3, 3, 5, 2, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 2, 4, 3, 4, 2, 2, 4, 2, 4, 2, 3, 4, 3, 3, 4, 4, 3, 5, 2, 2, 3, 4, 1, 4, 5, 3, 1, 5, 3, 2, 5, 4, 3, 3, 3, 5, 1, 3, 3, 4, 4, 2, 4, 3, 3, 2, 4, 1, 2, 3, 3, 3, 4, 2, 5, 3, 1, 1, 1, 5, 1, 4, 3, 3, 2, 4, 3, 2, 2, 3, 3, 3, 4, 4, 4, 5, 4, 5, 2, 5, 4, 5, 2, 3, 2, 3, 4, 3, 3, 3, 5, 5, 3, 5, 2, 2, 2, 2, 1, 2, 2, 4, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 4, 5, 4, 4, 3, 3, 3, 2, 4, 5, 5, 3, 2, 3, 3, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 4, 5, 4, 2, 5, 2, 5, 4, 4, 3, 3, 2, 3, 2, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 4, 3, 2, 4, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 2, 3], "4047": [5, 5, 2, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 2, 4, 5, 5, 5, 5, 4, 3, 5, 4, 5, 3, 4, 4, 3, 2], "1883": [3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 2, 4, 2, 3, 2, 3, 5, 3, 1, 4, 3, 4, 3, 4, 4, 3, 5, 2, 4, 3, 4, 1, 4, 4, 4, 2, 4, 3, 3, 3, 1, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 2, 4, 3, 2, 5, 3, 4, 5, 3, 3, 2, 4, 3, 4, 4, 4, 5, 4, 2, 5, 2, 3, 3, 3, 5, 3, 5, 2, 3, 4, 3, 3, 3, 4, 3, 1, 3, 3, 2, 5, 4, 3, 5, 3, 1, 3, 3, 2, 3, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 3, 4, 3, 2, 4, 3, 4, 5, 2, 1, 3, 3, 3, 5, 3, 3, 4, 5, 3, 4, 3, 3, 3, 4, 3, 2, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 2, 4, 1, 4, 4, 2, 4, 3, 2, 3, 2, 4, 3, 5, 3, 3, 5, 3, 4, 5, 4, 4, 5, 3, 3, 2, 4, 3, 3, 3, 2, 3, 2, 3, 5, 2, 4, 5, 2, 4, 2, 4, 3, 4, 2, 4, 3, 4, 3, 5, 5, 4, 4, 1, 1, 1, 4, 3, 4, 4, 3, 3, 4, 2, 4, 3, 4, 5, 2, 3, 3, 3, 5, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 3, 4, 4, 2, 4, 4, 4, 3, 2, 4, 3, 1, 3, 4, 3, 4, 4, 3, 3, 4, 2, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 2, 4, 3, 3, 3, 4, 2, 2, 5, 4, 4, 5, 2, 2, 3, 2, 5, 5, 4, 4, 4, 3, 3, 3, 4, 2, 2, 4, 2, 3, 5, 3, 4, 4, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 2, 4, 3, 4, 4, 2, 5, 3, 3, 5, 2, 3, 2, 5], "729": [5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 2, 3, 3, 5, 2, 1, 4, 3, 5, 2, 4, 4, 4, 5, 4, 5, 5, 3, 3, 2, 4, 4, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 1, 4, 4, 3, 3, 4, 4, 5, 1, 2, 2, 3, 4, 3, 4, 4, 3, 4, 1, 4, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3], "5598": [3, 2, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 3, 5, 2, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5, 4, 4, 3, 4], "1033": [4, 4, 2, 3, 4, 2, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 2, 1, 4, 3, 4, 2, 4, 2, 3, 5, 1, 3, 3, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 5, 1, 3, 1, 4, 3, 2, 3, 5, 1, 3, 3, 3, 5, 3, 4, 4, 3, 2, 3, 3, 2, 2, 2, 1, 3, 5, 5, 2, 5, 3, 3, 3, 5, 5, 3, 4, 3, 4, 3, 3, 2, 3, 1, 2, 4, 4, 3, 3, 3, 5, 3, 4, 1, 3, 5, 2, 3, 4, 4, 2, 2, 3, 5, 1, 3, 3, 3, 4, 4, 5, 4, 3, 4, 2, 1, 3, 4, 4, 4, 4, 5, 4, 1, 2, 3, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 1, 5, 4, 5], "1896": [4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 2, 5, 3, 5, 5, 2, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 1, 3, 5, 5, 3, 4, 5, 3, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4], "830": [4, 4, 3, 4, 4, 5, 3, 5, 5, 5, 4, 3, 5, 1, 3, 5, 4, 4, 3, 3, 1, 5, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 4, 5, 5, 3, 1, 4, 4, 5, 5, 3, 3, 5, 2, 2, 3, 3, 5, 3, 5, 3, 5, 3, 5, 3, 3, 3, 5, 3, 5, 5, 3, 3, 3, 5, 4, 5, 4, 1, 3, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 2, 3, 3, 2, 3, 4, 4, 3, 5, 2, 3, 5, 4, 4, 5, 5, 3, 3, 5, 4, 3, 3, 3, 5, 5, 5, 5, 4, 1, 4, 5, 4, 4, 5, 3, 2, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 5, 5, 1, 4, 3, 3, 2], "4905": [1, 3, 3, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 2, 2, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 2, 4, 5, 2, 5, 3, 3, 4, 3, 4], "2971": [5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 3, 1, 3, 5, 4, 4, 4, 5, 3, 2, 5, 3, 5, 3, 2, 5], "4140": [3, 5, 4, 2, 3, 3, 3, 5, 4, 2, 4, 3, 4, 3, 2, 4, 1, 3, 5, 4, 4, 3, 3, 2, 3, 5, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 2, 5, 3, 3, 5, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 3, 5, 4, 2, 2, 3, 3, 3, 2, 4, 5, 5, 2, 2, 3, 3, 5, 1, 3, 1, 2, 5, 3, 5, 3, 5, 4, 3, 3, 4, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 3, 3, 3, 3, 5, 3, 1, 2, 3, 5, 3, 3, 3, 5, 4, 3, 3, 3, 2, 3, 4, 2, 3, 3, 4, 2, 3, 2, 3, 4, 3, 5, 5, 4, 2, 3, 2, 5, 3, 3, 2, 5, 1, 4, 2, 4, 4, 2, 3, 3, 3, 3, 2, 4, 5, 3, 2, 3, 3, 3, 5, 3, 2, 5, 2, 1, 3, 3, 1, 3, 2, 3, 3, 4, 3, 4, 3, 1, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 5, 5, 4, 3, 3, 3, 3, 2, 5, 3, 5, 2, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 4, 1, 4, 1, 3, 5, 2, 1, 1, 1, 3, 5, 5, 3, 2, 2, 2, 2, 1, 2, 3, 3, 4, 4, 4, 5, 3, 3, 5, 4, 3, 3, 2, 2, 1, 5, 4, 2, 3, 1, 2, 3, 3, 5, 5, 4, 3, 3, 2, 2, 3, 2, 2, 5, 1, 3, 3, 3, 3, 5, 3, 4, 3, 5, 3, 5, 3, 5, 2, 3, 3, 5, 3, 5, 2, 4, 2, 2, 4, 1, 3, 4, 3, 3, 2, 3, 2, 5, 3, 5, 3, 2, 5, 3, 3, 2, 2, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 3, 3, 5, 3, 4, 5, 3, 5, 3, 2, 3, 1, 3, 3, 4, 3, 1, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 3, 5, 3, 1, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 1, 2, 2, 3, 5, 3, 2, 5, 2, 5, 3, 1, 4, 5, 4, 3, 5, 3, 2, 3, 3, 5, 4, 1, 3, 3, 3, 5, 2, 2, 3, 5, 3, 3, 2, 3, 3, 2, 2, 3, 4, 4, 3, 1, 3, 3, 2, 4, 3, 2, 3, 1, 4, 3, 4, 5, 3, 4, 2, 2, 3, 3, 3, 3, 1, 3, 3, 3, 4, 4, 3, 3, 2, 4, 1, 3, 4, 3, 3, 5, 5, 3, 5, 4, 2, 2, 4, 3, 3, 2, 3, 1, 1, 2, 3, 3, 1, 5, 3, 4, 3, 3, 5, 4, 3, 4, 5, 1, 3, 2, 2, 5, 3, 1, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 5, 3, 2, 3, 2, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 2, 3, 3, 4, 5, 4, 3, 3, 4, 3, 1, 4, 3, 3, 3, 5, 3, 3, 3, 4, 3, 5, 3, 2, 3, 2, 5, 4, 3, 3, 1, 1, 5, 1, 4, 3, 3, 1, 4, 1, 2, 3, 3, 3, 3, 5, 3, 3, 2, 3, 5, 5, 3, 2, 3, 1, 4, 4, 3, 3, 5, 1, 2, 3, 4, 2, 4, 3, 5, 5, 2, 4, 4, 3, 2, 4, 5, 3, 2, 2, 3, 4, 3, 3, 3, 3, 5, 1, 4, 4, 3, 5, 3, 4, 5, 5, 4, 5, 5, 5, 2, 3, 4, 1, 3, 3, 5, 3, 5, 5, 3, 3, 5, 3, 3, 4, 5, 1, 3, 3, 2, 2, 4, 3, 5, 1, 4, 4, 5, 1, 3, 4, 3, 4, 3, 2, 3, 4, 2, 2, 3, 2, 5, 5, 5, 3, 3, 3, 2, 5, 5, 3, 3, 4, 2, 3], "2020": [4, 4, 2, 3, 4, 3, 4, 4, 4, 2, 4, 3, 5, 5, 5, 4, 4, 4, 5, 2, 4, 4, 3, 3, 4, 2, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 2, 2, 3, 4, 3, 4, 3, 4, 2, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 2, 3, 5, 4, 3, 5, 2, 5, 5, 4, 3, 2, 3, 4, 3, 2, 3, 5, 4, 3, 4, 4, 2, 4, 4, 4, 3, 2, 4, 3, 3, 4, 3, 2, 5, 3, 3, 5, 3, 4, 4, 5, 3, 5, 2, 4, 4, 5, 2, 4, 4, 2, 5, 1, 5, 4, 2, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 2, 5, 5, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 4, 2, 3, 3, 4, 3, 2, 3, 3, 2, 3, 4, 2, 4, 5, 3, 2, 5, 4, 3, 2, 3, 5, 3, 5, 4, 3, 3, 4, 3, 4, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 3, 4, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 1, 2, 2, 3, 3, 2, 5, 3, 3, 5, 5, 3, 5, 3, 2, 5, 3, 4, 3, 5, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 3, 5, 4, 4, 5, 2, 3, 3, 5, 3, 3, 4, 2, 3, 3, 4, 3, 3, 4, 5, 2, 2, 4, 3, 3, 5, 3, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 2, 4, 5, 3, 4, 3, 3, 4, 4, 2, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 3, 2, 4, 4, 4, 4, 5, 5, 3, 3, 5, 2, 4, 4, 4, 3, 4, 3, 4, 1, 4, 5, 4, 5, 3, 4, 3, 3, 3, 5, 5, 5, 4], "2154": [5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 3, 2, 4, 2, 5, 4, 5, 5, 5, 5, 3, 3, 4, 5, 4, 3, 4, 3, 5, 5, 4, 3, 5, 3, 5, 4, 4, 3, 4, 3, 3], "4948": [5, 1, 2, 2, 3, 3, 4, 4, 4, 2, 2, 1, 4, 5, 4, 2, 2, 1, 2, 5, 5, 4, 2, 3, 5, 4, 3, 3, 1, 4, 5, 5, 3, 4, 3, 3, 4, 5, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 3, 2, 4, 3, 2, 4, 2, 5, 3, 3, 4, 4, 2, 4, 5, 4, 4, 1, 2, 5, 5, 4, 3, 4, 2, 5, 3, 5, 5, 3, 2, 4, 4, 2, 3, 1, 2, 1, 1, 2, 5, 3, 3, 2, 4, 2, 4, 5, 5, 5, 5, 5, 4, 2, 3, 4, 4, 4, 1, 5, 3, 3, 5, 4, 1, 5, 1, 2, 2, 4, 3, 2, 4, 2, 4, 5, 5, 4, 5, 3, 3, 4, 3, 2, 4, 4, 4, 4, 1, 4, 2, 4, 4, 3, 4, 5, 4, 4, 1, 3, 1, 2, 1, 5, 5, 3, 3, 3, 4, 2, 5, 4, 3, 2, 1, 3, 4, 2, 2, 2, 3, 1, 3, 4, 2, 4, 3, 3, 3, 4, 2, 3, 5, 3, 1, 4, 3, 4, 5, 2, 4, 3, 3, 2, 5, 2, 3, 2, 5, 4, 3, 3, 3, 4, 3, 5, 3, 1, 2, 1, 4, 4, 4, 4, 4, 2, 4, 2, 2, 3, 3, 5, 4, 1, 3, 1, 3, 2, 3, 4, 3, 1, 2, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 1, 5, 4, 3, 2, 4, 1, 4, 2, 3, 4, 5, 3, 4, 4, 3, 5, 4, 3, 2, 5, 5, 2, 3, 5, 3, 5, 2, 4, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 5, 4, 2, 5, 3, 3, 4, 4, 1, 5, 5, 2, 3, 4, 2, 1, 5, 2, 2, 4, 3, 2, 3, 2, 5, 2, 1, 2, 1, 5, 3, 2, 3, 2, 4, 1, 5, 2, 3, 2, 2, 1, 5, 5, 4, 5, 3, 2, 2, 2, 1, 3, 3, 1, 3, 4, 4, 4, 1, 4, 3, 1, 4, 4, 2, 3, 3, 3, 2, 4, 3, 4, 2, 1, 2, 1, 3, 4, 5, 1, 3, 2, 1, 3, 5, 3, 2, 3, 2, 5, 2, 4, 2, 3, 4, 4, 3, 4, 1, 5, 1, 3, 3, 4, 3, 2, 3, 3, 4, 3, 4, 4, 1, 5, 4, 2, 4, 4, 3, 2, 2, 2, 1, 3, 3, 5, 3, 3, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 1, 2, 3, 2, 3, 5, 3, 1, 1, 3, 1, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 4, 2, 5, 2, 3, 4, 3, 4, 2, 4, 4, 4, 1, 4, 1, 3], "192": [3, 4, 4, 3, 3, 2, 1, 5, 3, 5, 5, 4, 4, 2, 3, 3, 5, 5, 3, 1, 3, 5, 2, 5, 4, 4, 4, 3, 5, 4, 3, 3, 5, 5, 4, 1, 1, 4, 1, 3, 5, 3, 3, 4, 4, 4, 2, 4, 4, 4, 5, 3, 4, 1, 3, 3, 1, 2, 4, 4, 2, 5, 5, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 2, 3, 1, 4, 2, 3, 1, 2, 2, 2, 1, 3, 4, 2, 3, 2, 4, 4, 1, 3, 3, 2, 4, 1, 5, 2, 4, 1, 3, 2, 4, 5, 3, 4, 2, 5, 3, 3, 2, 4, 3, 4, 4, 3, 5, 2, 4, 2, 5, 3, 3, 4, 2, 5, 3, 1, 1, 3, 3, 3, 1, 3, 5, 1, 4, 1, 1, 2, 3, 3, 4, 3, 1, 2, 2, 4, 3, 3, 3, 4, 3, 1, 2, 4, 2, 3, 3, 2, 5, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 1, 3, 3, 1, 2, 3, 2, 1, 2, 1, 2, 4, 3, 4, 1, 4, 3, 4, 5, 3, 4, 2, 4, 1, 3, 1, 4, 3, 1, 4, 3, 5, 3, 3, 4, 1, 3, 2, 4, 2, 3, 1, 1, 4, 5, 5, 2, 3, 2, 2, 5, 2, 1, 5, 3, 4, 2, 4, 3, 4, 4, 1, 2, 2, 1, 2, 4, 1, 4, 2, 4, 4, 2, 3, 2, 3, 2, 2, 4, 2, 3, 2, 3, 5, 2, 3, 5, 4, 1, 2, 3, 2, 4, 1, 3, 2, 4, 1, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 1, 3, 3, 4, 4, 4, 3, 3, 3, 1, 4, 4, 2, 3, 5, 4, 5, 1, 4, 3, 1, 3, 1, 3, 3, 4, 5, 2, 1, 2, 4, 3, 2, 4, 3, 1, 1, 4, 2, 5, 3, 3, 1, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 2, 4, 3, 4, 5, 3, 2, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 3, 4, 1, 3, 3, 2, 3, 2, 4, 3, 4, 4, 1, 4, 3, 3, 4, 3, 1, 4, 1, 3, 4, 4, 5, 4, 4, 3, 2, 4, 2, 3, 4, 4, 4, 2, 3, 5, 3, 2, 4, 4, 5, 2, 5, 4, 4, 3, 5, 4, 1, 4, 4, 5, 5, 1], "3349": [3, 3, 4, 4, 2, 5, 5, 4, 3, 3, 3, 5, 1, 3, 5, 3, 3, 3, 3, 5, 3, 5, 3, 4, 3, 4, 3, 5, 3, 4, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 3, 5, 2, 5, 4, 5, 2, 4, 5, 5, 3, 1, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 2, 3, 1, 4, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 4, 2, 4, 5, 5, 5, 4, 3, 3, 4, 5, 1, 1, 4, 3, 3, 3, 5, 5], "2045": [4, 5, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 5, 3, 4, 5, 4, 5, 5, 3, 5], "64": [4, 5, 4, 5, 4, 5, 4, 3, 4, 2, 5, 5], "1163": [4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4], "4277": [5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 2, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 2, 5, 3, 4, 4, 3, 5, 3, 4, 5, 2, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 5, 3, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 4, 3, 5, 3, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 2, 5, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 3, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 3, 3, 4, 4, 3, 5, 5, 2, 4, 5, 4, 5, 3, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 2, 4, 4, 4, 5, 4, 4, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 5, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 3, 2, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 2, 5, 5, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 3, 4, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 2, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 2, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 5, 3, 2, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 3, 5, 3, 3, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 2, 3, 3, 4, 4, 3], "891": [5, 5, 5, 4, 5, 3, 5, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 2, 4, 2, 3, 3, 3, 5, 4, 4, 2, 3, 4, 3, 5, 3, 5, 5, 4, 3, 4, 5, 2, 5, 5, 3, 5, 4, 4, 3, 2, 4, 4, 2, 5, 4, 5, 2, 5, 4, 4, 2, 4, 5, 5, 4, 2, 5, 2, 1, 3, 4, 5, 3, 5, 4, 3, 3, 3, 2, 5, 4, 5, 4, 4, 5, 2, 5, 5, 2, 2, 3, 3, 2, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 3, 2, 4, 2, 3, 4, 3, 5, 5, 4, 4, 3, 2, 5, 5, 5, 3, 4, 5, 5, 5, 2, 3, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5], "5671": [4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 3, 3, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 2, 5, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5], "1263": [4, 2, 3, 4, 2, 4, 3, 3, 5, 5, 4, 5, 3, 4, 5, 5, 2, 4, 2, 4, 5, 2, 4, 2, 4, 3, 1, 3, 4, 4, 3, 3, 4, 4, 2, 5, 5, 3, 3, 1, 4, 3, 5, 4, 5, 5, 1, 3, 4, 4, 4, 3, 2, 4, 1, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 4, 1, 4, 4, 4, 4, 3, 2, 3, 4, 2, 3, 3, 2, 4, 4, 3, 5, 1, 2, 3, 2, 4, 3, 4, 2, 3, 5, 3, 3, 1, 3, 4, 2, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 2, 2, 3, 3, 2, 3, 5, 4, 3, 2, 5, 4, 4, 4, 1, 2, 2, 3, 4, 2, 4, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 2, 4, 2, 4, 3, 5, 5, 5, 4, 4, 2, 3, 3, 1, 4, 3], "5559": [3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4], "115": [3, 2, 5, 4, 3, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 3, 3], "987": [4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 3, 3, 5, 3, 5, 4, 1, 5, 3, 3, 3, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 1, 2, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 1, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 3, 5], "1292": [4, 5, 4, 3, 4, 2, 5, 4, 3, 5, 3, 2, 4, 3, 5, 3, 5, 5, 4, 4, 1, 1, 2, 1, 3, 2, 4, 1, 2, 4], "1143": [4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 2, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4], "3713": [4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 3, 1, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 5, 2, 3, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 2, 5, 3, 4, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 5, 4, 2, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 4, 2, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 3, 2, 3, 3, 5, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 2, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 5, 3, 1, 4, 5, 4, 5, 3, 4, 3, 3, 4, 1, 3, 5, 3, 4, 2, 2, 4, 4, 3, 3, 4, 3, 3, 5, 4, 5, 5, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 5, 4, 5, 5, 4, 3, 2, 4, 5, 3, 2, 3, 4, 5, 3, 5, 4, 4, 3, 4, 3, 5, 3, 4, 2, 2, 3, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 2, 4, 3, 5, 3, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 5, 4, 5, 5], "5180": [5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 2, 3, 5, 1, 4, 4, 4, 4, 2, 3, 5, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 4, 3, 5, 1, 5, 4, 4, 3, 4], "5500": [3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 2, 5, 5, 4, 3, 2, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5], "3026": [3, 4, 2, 1, 1, 4, 1, 1, 1, 3, 2, 5, 2, 5, 5, 5, 5, 5, 5, 1, 3, 5, 3, 4, 3, 5, 5, 5, 4, 3, 2, 3, 5, 3, 1, 1, 4, 2, 4, 4, 5, 5, 5, 4, 2, 5, 1, 1, 1, 5, 3, 5, 5, 4, 4, 1, 3, 5, 5, 2, 2, 4, 2, 5, 3, 1, 1, 4, 5, 5, 5, 4, 4, 4, 2, 3, 1, 5, 4, 4, 2, 3, 4, 1, 4, 5, 1, 4, 3, 1, 1, 4, 1, 1, 3, 4, 3, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 4, 3, 2, 4, 1, 1, 3, 4, 1, 2, 1, 2, 1, 1, 5, 2, 1, 1, 2, 4, 4, 1, 3, 1, 1, 2, 3, 4, 5, 3, 5, 1, 3, 3, 1, 1, 4, 3, 3, 5, 4, 3, 5, 1, 5, 1, 1, 4, 3, 4, 3, 5, 3, 1, 5, 4, 1, 1, 4, 3, 1, 4, 4, 4, 5, 1, 1, 2, 5, 4, 4, 4, 2, 2, 5, 5, 4, 5, 1, 5, 5, 5, 5, 1, 2, 1, 4, 1, 3, 5, 5, 5, 2, 2, 1, 1, 1, 1, 3, 1, 5, 2, 2, 4, 2, 4, 1, 2, 2, 4, 2, 4, 1, 1, 3, 3, 1, 4, 1, 4, 3, 5, 2, 1, 4, 3, 3, 1, 2, 1, 1, 4, 3, 1, 3, 2, 2, 2, 4, 1, 3, 4, 3, 1, 3, 4, 4, 1, 3, 1, 1, 3, 3, 1, 2, 3, 1, 2, 4, 4, 1, 1, 3, 5, 4, 3, 5, 4, 3, 1, 3, 1, 2, 1, 2, 4, 1, 3, 3, 1, 5, 2, 1, 2, 4, 1, 1, 4, 1, 3, 5, 1, 1, 2, 1], "817": [5, 4, 3, 3, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 3, 3, 5, 4, 4, 3, 3, 4, 5, 4, 5, 5, 3, 5, 3, 5, 4, 5, 2, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 2, 2, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 1, 5, 5, 4, 4, 5, 2, 5, 4, 4, 4, 4, 3, 2, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 5, 3, 5, 4, 5, 1, 5, 4, 5, 4, 3, 4, 5, 3, 3, 5, 4, 2, 4, 5, 4, 3, 4, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4, 4, 1, 5, 2, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 2, 4, 5, 5, 2, 4, 5, 4, 1, 3, 4, 3, 5, 5, 3, 1, 4, 2, 4, 3, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 3, 2, 5, 3, 5, 4, 3, 3, 2, 5, 5, 4, 5, 5, 4, 1, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3, 4, 5, 3, 5, 4], "1612": [4, 5, 5, 5, 4, 5, 3, 3, 3, 4, 2, 2, 3, 5, 3, 4, 4, 1, 3, 5, 4], "937": [4, 4, 4, 4, 5, 4, 4, 5, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 2, 3, 4, 4, 3, 2, 5, 4, 3, 3, 4, 3, 1, 1, 4, 2, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 1, 5, 4, 5, 4, 3, 5, 4, 5, 5, 2, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 2, 3, 5, 2, 4, 5, 2, 4, 4, 4, 3, 2, 4, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 1, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 2, 2, 4, 4, 2, 4, 5, 5, 3, 1, 5, 5, 4, 1, 4, 4, 4, 2, 4, 2, 5, 4, 1, 1, 4, 4, 3, 5, 4, 4, 5, 1, 2, 2, 5, 5, 3, 2, 5, 5, 4, 4, 3, 4, 4, 1, 2, 5, 4, 5, 2, 4, 2, 2, 5, 3, 1, 3, 4, 4, 5, 4, 4, 3, 4, 3, 2, 2, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 1, 4, 4, 4, 4, 4, 1, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 2, 2, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 1, 3, 4, 3, 5, 4, 4, 3], "4627": [4, 4, 5, 5, 4, 3, 5, 4, 3, 5, 4, 3, 5, 3, 3, 4, 3, 3, 2, 5, 5, 5, 3, 4, 4, 3, 3, 5, 5, 4, 5, 3, 2, 4, 2, 5, 3, 2, 4, 4, 3, 4, 4, 5, 5, 5, 2, 4, 4, 5, 4, 2, 5, 5, 5, 5, 5, 3, 5, 2, 5, 4, 5, 4, 5, 3, 4, 2, 5, 2, 3, 5, 4, 5, 5, 5, 4, 4, 3, 4, 2, 2, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 3, 4, 2, 4, 4, 4], "5083": [2, 4, 3, 2, 3, 5, 5, 4, 2, 4, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 2, 1, 1, 5, 3, 3, 3, 2, 2, 2, 5, 3, 2, 5, 4, 4, 3, 2, 1, 1, 3, 2, 2, 4, 5, 1, 3, 3, 5, 3, 3, 5, 4, 3, 2, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 4, 3, 5, 3, 5, 3, 4, 5, 3, 3, 4, 5, 4, 2, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 1, 4, 5, 3, 3, 5, 4, 2, 5, 5, 5, 3, 3, 5, 5, 4, 5, 2, 3, 4, 4, 5, 3, 4, 4, 1, 5, 5, 4, 3, 3, 5, 4, 5, 3, 2, 4, 5, 5, 4, 2, 3, 1, 4, 3, 2, 4, 5, 3, 3, 3, 5, 3, 4, 2, 5, 2, 3, 4, 2, 3, 4, 3, 5, 3, 1, 3, 5, 4, 4, 1, 3, 5, 3, 5, 2, 4, 3, 3, 2, 5, 4, 3, 3, 5, 4, 3, 5, 2, 4, 4, 5, 5, 2, 4, 5, 3, 5, 4, 3, 5, 5, 2, 3, 2, 4, 5, 5, 2, 3, 3, 1, 3, 4, 1, 5, 5, 2, 3, 5, 4, 4, 4, 3, 5, 3, 2, 4, 3, 5, 4, 4, 3, 3], "5756": [2, 5, 4, 5, 5, 3, 4, 5, 2, 5, 5, 5, 3, 4, 4, 5, 1, 5, 4, 3], "562": [3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 3, 2, 5, 3, 3, 4, 1, 5, 3, 5, 4, 5], "1467": [3, 4, 5, 4, 3, 5, 1, 3, 4, 3, 4, 5, 5, 1, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4], "2354": [5, 5, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 5, 5, 5, 4, 4, 1, 3, 4, 4, 3, 3, 2, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 2, 4, 4, 3, 4, 2, 4, 4, 1, 3, 2, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4], "1074": [3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 1, 3, 3, 4, 5, 5, 3, 4, 2, 4, 3, 4, 4, 1, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 2, 4, 3, 3, 2, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 2, 2, 2, 4, 3, 4, 2, 3, 4, 2, 3, 3, 2, 4, 4, 4, 2, 2, 4, 2, 4, 2, 4, 1, 3, 2, 3, 2, 5, 3, 4, 4, 3, 4, 3, 5, 2, 4, 3, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 5, 2, 4, 4, 3, 2, 5, 3, 5, 2, 3, 3, 3, 4, 5, 2, 3, 3, 5, 4, 3, 2, 3, 2, 1, 2, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 5, 5, 5, 3, 4, 2, 4, 3, 1, 2, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 1, 4], "4204": [5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4], "4512": [4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 1, 4, 4, 4, 4, 4, 5, 2, 1, 3, 4, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 3, 5, 4, 5, 4, 5, 2, 4, 4, 4, 4, 4, 5, 3, 1, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5, 4, 4, 5, 3, 5, 5, 2, 3, 4, 3, 4, 4, 4, 1, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 5, 3, 5, 3, 4, 3, 4, 5, 4, 2, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4], "1811": [4, 4, 4, 4, 2, 2, 2, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 2, 4, 4, 5], "2395": [4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 2, 3, 2, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 3, 4, 5, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 5, 2, 5, 5, 5, 4, 2, 5, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 5, 3, 2, 4, 5, 5, 4, 4, 4, 3, 5, 3, 5, 3, 5, 4, 4, 4, 2, 1, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 3, 3, 5, 2, 4, 5, 5, 5, 4, 4, 4, 5, 3, 3, 4, 5, 5, 4], "1325": [5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 3, 3, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 4, 4, 2, 1, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 3, 2, 4, 5, 5, 5, 4, 5, 3, 5, 4, 3, 3, 3, 1, 5, 3, 4, 5, 5, 5, 5, 1, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 3, 2, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 3], "5029": [4, 4, 5, 5, 3, 2, 3, 3, 4, 4, 4, 5, 5, 5, 1, 1, 3, 1, 4, 5, 4, 1, 2, 4, 1, 4, 3, 5, 3, 4, 5, 4, 1, 1, 5, 2, 5, 3, 4, 4, 1, 1, 3, 4, 5, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 2, 5, 5, 5, 1, 1, 5, 4, 5, 5, 4, 4, 3, 2, 3, 4, 3, 4, 5, 4, 4, 5, 3, 1, 1, 4, 3, 5, 1, 2, 4, 4, 1, 5, 5, 4, 3, 4, 5, 1, 4, 4, 1, 4, 5, 3, 1, 5, 3, 5, 5, 1], "5584": [5, 4, 5, 4, 5, 5, 2, 5, 3, 1, 1, 3, 4, 4, 4, 4, 3, 4, 4, 5, 1, 5, 3, 5, 1, 3, 5, 2, 2, 1, 4, 3, 4, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 3, 3, 2, 3, 4, 5, 5, 1, 1, 5, 5, 5, 5, 1, 3, 1, 2, 2, 4], "5006": [4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5], "4891": [4, 5, 1, 5, 5, 5, 2, 3, 5, 1, 5, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 4, 2], "1269": [5, 2, 5, 5, 3, 2, 3, 5, 5, 3, 5, 3, 5, 5, 4], "1585": [4, 3, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 2, 3, 5, 2, 2, 4, 5, 4, 2, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 1, 3, 3, 2, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 2, 4, 3, 4, 5, 3, 3, 5, 3, 2, 2, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 2, 3, 2, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4], "5546": [4, 5, 5, 4, 3, 3, 3, 2, 5, 3, 3, 5, 5, 4, 3, 5, 5, 3, 2, 5, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3], "1828": [3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 1, 4, 2, 5, 4, 3, 4, 4, 5, 3, 2, 3, 3, 4, 3, 5, 3, 3, 2, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 2, 5, 4, 3, 3, 3, 4, 3, 4, 5, 3, 3, 3, 4, 3, 5, 3, 5, 3, 5, 4, 3, 5, 4, 5, 3, 4], "482": [1, 5, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 2, 5, 3, 3, 3, 2, 3, 2, 5, 3, 3, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 3, 2, 5, 3, 3, 3, 5, 3, 4, 2, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 2, 3, 2, 5, 5, 2, 4, 4, 3, 3, 3, 4, 4, 2, 5, 3, 2, 4, 2, 2, 3, 4, 3, 3, 3, 2, 1, 3, 4, 3, 2, 5, 3, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 2, 3, 4, 3, 2, 3, 2, 4, 4, 4, 2, 3, 2, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 2, 5, 3, 5, 5, 4, 4, 3, 2, 2, 3, 3, 2, 2, 3, 4, 4, 1, 2, 1, 4, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 4, 5, 3, 3, 3, 2, 4, 3, 3, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 3, 2, 2, 2, 4, 2, 5, 2, 4, 4, 4, 5, 4, 2, 4, 3, 5, 3, 2, 4, 3, 4, 2, 2, 4, 3, 3, 3, 3, 5, 3, 2, 2, 1, 3, 1, 3, 4, 3, 4, 4, 4, 2, 4, 2, 4, 5, 5, 3, 2, 1, 4, 3, 5, 3, 3, 2, 2, 5, 5, 5, 4, 2, 4, 3, 4, 5, 3, 5, 4, 3, 2, 3, 2, 4, 2, 3, 3, 5, 2, 4, 3, 3, 5, 3, 5, 4, 2, 3, 5, 5, 1, 5, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 5, 5, 5, 4, 3, 4, 4, 1, 3, 3, 3, 4, 3, 4, 3, 3, 2, 2, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 2, 5, 5, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 1, 5, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 2, 5, 3, 3, 4, 4, 2, 3, 5, 2, 2, 2, 2, 3, 3, 4, 3, 3, 5, 2, 2, 3, 2, 4, 5, 2, 5, 4, 5, 3, 3, 3, 3, 4, 3, 3, 2, 2, 5, 3, 3, 3, 4, 2, 3, 2, 2, 4, 2, 4, 3, 3, 2, 3, 3, 3, 5, 2, 3, 2, 4, 2, 3, 3, 3, 5, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 5, 3, 3, 2, 1, 4, 4, 5, 3, 5, 4, 3, 3, 5, 3, 4, 3, 2, 4, 2, 4, 3, 3, 5, 4, 3, 3, 2, 2, 3, 5, 2, 2, 4, 2, 3, 2, 4, 1, 3, 5, 2, 5, 3, 4, 2, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 4, 4, 3, 4, 2, 4, 3, 2, 2, 4, 4, 2, 4, 3, 3, 4, 4, 3, 2, 4, 3, 5, 3, 3, 4, 4, 2, 2, 3, 2, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 5, 4, 4, 2, 2, 2, 5, 2, 3, 2, 4, 5, 1, 4, 2, 2, 3, 3, 2, 3, 2, 3, 5, 4, 4, 4, 2, 4, 2, 4, 3, 4, 1, 4, 4, 4, 3, 3, 3, 3, 4, 2, 5, 3, 5, 3, 3, 5, 5, 3, 4, 4, 5, 3, 4, 2, 3, 3, 3, 3, 2, 5, 5, 3, 3, 4, 3, 4, 4, 2, 4, 2, 4, 3, 3, 3, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 2, 3, 2, 4, 1, 4, 5, 3, 5, 2, 3, 3, 3, 3, 5, 3, 2, 3, 5, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 4, 1, 3, 1, 3], "1663": [4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 4, 3, 3, 4, 5, 4, 5, 3], "1592": [4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 5, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 3, 4, 5, 3, 4, 2, 4, 2, 3, 4, 2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 2, 5, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 2, 3, 4, 4, 3, 4, 3, 5, 5, 2, 3, 5, 3, 3, 3, 3, 4, 4, 2, 4, 4, 3, 3, 5, 4, 3, 4, 3, 2, 3, 2, 3, 3, 5, 5, 4, 4, 4, 3, 5, 3, 3, 3, 3, 3, 4, 2, 2, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 5, 3, 4, 5, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 4, 5, 3, 3, 2, 4, 3, 4, 3, 5, 4, 5, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 2, 2, 5, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5], "2462": [4, 3, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 2, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 3, 2, 4, 3, 2, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 4, 5, 4, 3, 1, 4, 2, 2, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 3, 3, 2, 5, 5, 3, 5, 4, 2, 2, 4, 3, 4, 3, 3, 3, 3, 3, 1, 3, 2, 5, 4, 3, 4, 3, 3, 3, 3, 1, 4, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 5, 4, 1, 5, 3, 3, 5, 2, 4, 2, 2, 4, 4, 2, 3, 3, 2, 2, 3, 2, 2, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 5, 4, 3, 2, 4, 5, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 4, 2, 4, 2, 4, 5, 4, 2, 4, 2, 5, 3, 2, 3, 4], "2251": [4, 5, 3, 3, 5, 3, 3, 5, 5, 5, 3, 3, 4, 5, 3, 3, 5, 4, 5, 5, 5, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 2, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 2, 5, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 2, 2, 4, 3, 2, 4, 4, 2, 1, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 5, 1, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 4, 2, 3, 5, 4, 4, 2, 3, 4, 1, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 1, 5, 5, 4, 4, 5, 4, 2, 2, 5, 2, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 2, 2, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 1, 4, 3, 5, 4, 3, 2, 3, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 2, 4, 5, 4, 3, 3, 3, 4, 1, 4, 4, 5, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 3, 5, 4, 2, 4, 2, 4, 2, 4, 5, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 3, 2, 4, 3, 4, 2, 4, 3, 3, 4, 4, 4, 4, 3, 1, 4, 1, 5, 4, 4, 4, 5, 4, 4, 4, 2, 4, 2, 1, 2, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 5, 4, 2, 3, 4, 5, 4, 3, 4, 5, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 5, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 1, 5, 3, 5, 4, 5, 2, 4, 4, 5, 1, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 2, 2, 4, 4, 3, 4, 5, 2, 4, 3, 4, 4, 4, 4, 4], "1478": [4, 5, 4, 5, 4, 4, 4, 1, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5], "4872": [4, 3, 3, 3, 2, 3, 4, 4, 3, 1, 4, 5, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3], "1611": [3, 4, 4, 4, 3, 4, 2, 3, 5, 5, 4, 4, 3, 4, 3, 4, 4, 2, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 2, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 1, 3, 5, 5, 5, 5, 4, 4, 4, 2, 5, 4, 5, 4, 2, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 5, 3, 2, 3, 3, 5, 5, 5, 3, 4, 5, 2, 5, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 5, 4, 2, 5, 5, 4, 3, 3, 2, 1, 4, 5, 1, 4, 4, 4, 2, 2, 4, 1, 5, 3, 4, 3, 3, 1, 5, 1, 3, 4, 1, 2, 5, 4, 5, 4, 3, 2, 4, 3, 2, 2, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 2, 2, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 2, 2, 4, 2, 2, 4, 3, 5, 3, 3, 4, 4, 2, 3, 2, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 3, 4, 4, 2, 4, 4, 4, 5, 2, 4, 3, 2, 2, 4, 2, 4, 4, 4, 4, 5, 3, 2, 3, 2, 2, 2, 4, 2, 2, 4, 4, 2, 5, 4, 1, 5, 5, 3, 4, 5, 3, 4, 5, 4, 1, 2, 4, 4, 3, 4, 4, 3, 2, 4, 2, 4, 5, 3, 3, 2, 4, 2, 2, 1, 2, 5, 4, 1, 4, 5, 5, 4, 3, 5, 5, 1, 4, 4, 4, 5, 1, 5, 3, 4, 5, 2, 4, 5, 1, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 1, 5, 1, 3, 4, 5, 4, 3, 4, 4, 2, 3, 4, 4, 1, 3, 3, 5, 2, 5, 4, 4, 3, 4, 3, 4, 3, 2, 2, 2, 4, 5, 4, 4, 4, 4, 1, 5, 5, 4, 2, 5, 3, 3, 4, 5, 3, 2, 4, 2, 2, 2, 2, 3, 5, 5, 4, 3, 5, 3, 3, 5, 4, 4, 4, 3, 2, 2, 1, 5, 3, 2, 3, 4, 3, 3, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 2, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5], "507": [4, 3, 4, 5, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 3, 1, 4, 5, 5, 4, 3, 2, 5, 5, 5, 4, 5, 4, 5, 5, 4], "2814": [4, 3, 5, 5, 5, 3, 4, 5, 4, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 4, 5, 5, 3, 1, 4, 1, 4, 4, 4, 5, 3, 5, 5, 3, 5, 3, 5, 4, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 2, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 3, 3, 5, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5], "229": [4, 2, 5, 1, 3, 5, 4, 4, 4, 2, 4, 3, 2, 4, 3, 3, 3, 1, 3, 3, 5, 4, 5, 3, 5, 4, 3, 2, 2, 1, 4, 3, 4, 2, 4, 3, 3, 2, 5, 5, 3, 2, 4, 3, 3, 2, 5, 2, 3, 4, 3, 3, 2, 5, 3, 1, 4, 1, 5, 2, 4, 3, 4, 4, 2, 5, 2, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 2, 2, 4, 5, 4, 3, 5, 1, 5, 2, 4, 3, 3, 2, 5, 5, 3, 4, 1, 3, 3, 3, 4, 5], "771": [4, 4, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 3, 3, 5, 4, 3], "2535": [1, 3, 1, 5, 5, 5, 2, 4, 5, 3, 5, 3, 1, 3, 5, 5, 2, 5, 5, 2, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 2, 3, 4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 4, 2, 5, 5, 5, 5, 5, 3, 5], "4070": [4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 3, 1, 4, 3, 2, 4, 2, 4, 4, 3, 4, 3, 5, 3, 2, 3, 3, 5, 4, 4, 5, 3, 2, 3, 5, 4, 3, 4, 2, 3, 5, 1, 3, 4, 4, 4, 2, 2, 5, 4, 4, 5, 3, 4, 3, 4, 3, 3, 2, 2, 5, 4, 2, 3, 4, 3, 5, 1, 3, 3, 5, 3, 5, 4, 4, 2, 3, 5, 2, 5, 2, 3, 4, 3, 3, 5, 3, 3, 4, 3, 5, 5, 4, 2, 4, 4, 2, 1, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 2, 5], "2563": [3, 4, 3, 2, 2, 4, 4, 3, 2, 2, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 2, 3, 3, 4], "4384": [4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 5, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 2, 4, 3, 3, 5, 4, 5, 3, 5, 4, 4, 3, 3, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 3, 5, 1, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 2, 4, 4, 4, 3, 3, 3, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 3], "5942": [2, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 2, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 5, 2, 4, 2, 2, 3, 3, 3, 2, 2, 2, 2, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 1, 5, 5, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 2, 4, 5, 5, 5, 4, 5, 4, 5, 3, 3, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 2, 4, 3, 5, 4, 4], "1073": [3, 5, 5, 4, 2, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 2, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 3, 3, 5, 5, 5, 4, 4, 5, 5, 2, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 2, 5, 3, 5, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 3, 1, 4, 4, 5, 3, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5], "4152": [5, 3, 5, 3, 3, 5, 5, 3, 5, 3, 3, 4, 2, 5, 2, 4, 5, 4, 5, 4, 4, 5, 4, 5, 3, 3, 3, 3, 2, 5, 4, 4, 5, 2, 1, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 1, 4, 1, 2, 1, 3, 5, 2, 5, 3, 4, 5, 5, 5, 3, 5, 3, 5, 2, 2, 1, 5, 4, 4, 5, 2, 4, 2, 5, 2, 4, 2, 3, 5, 5, 5, 5, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 4, 3, 5, 4, 2, 4, 5, 3, 3, 5, 3, 2, 4, 5, 4, 5, 3, 4, 3, 3, 4, 5, 5, 2, 1, 3, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 4], "1586": [4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 2, 3, 4, 3, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 2, 5, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 5, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 5, 5, 3, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 2, 3, 5, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5], "2392": [5, 5, 3, 5, 4, 4, 5, 5, 5, 4], "3979": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 1, 5, 4, 4, 5, 1, 5, 5, 5, 3, 3, 4, 3, 4, 1, 4, 5, 5, 4, 3, 3, 5, 3, 3, 5, 5, 3, 4, 3, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 2, 5, 5, 4], "3754": [5, 4, 4, 1, 4, 2, 4, 5, 5, 3, 5, 4, 4, 2, 5, 5, 2, 3, 2, 5, 2, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 4, 2, 3, 4, 2, 3, 4, 4, 5, 2, 2, 4, 4, 4, 2, 4, 3, 3, 4, 5, 4, 2, 5, 5, 4, 2, 5, 3, 3, 3, 4, 3, 2, 5, 4, 4, 2, 4, 5, 2, 2, 5, 4, 2, 4, 2, 3, 4, 3, 5, 2, 4, 4, 2, 5, 4, 3, 2, 4, 4, 3, 4, 3, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 5, 4, 2, 4, 2, 3, 4, 2, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 2, 3, 3, 4, 4, 1, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 1, 4, 3, 3, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 2, 4, 4, 2, 5, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 3, 4, 4, 2, 4, 4, 2, 4, 5, 5, 2, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4], "4077": [5, 5, 3, 4, 3, 5, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 4, 3, 3, 3, 4, 5, 4, 4, 3, 2, 4, 4, 3, 3, 5, 3, 3, 3, 5, 4, 3, 3, 3, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 5, 3, 3, 4, 4, 4, 5, 3, 4, 5, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 4, 3, 5, 4, 1, 4, 3, 5, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 3, 5, 4, 5, 3, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 3, 1, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 5], "5135": [3, 4, 5, 4, 4, 5, 2, 3, 5, 4, 3, 5, 2, 3, 5, 4, 4, 4, 5, 4, 4, 4, 2, 3, 3, 5, 4, 3, 2, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 3, 2, 5, 4, 2, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 5], "5829": [2, 4, 4, 4, 3, 5, 5, 2, 5, 3, 4, 4, 3, 5, 3, 5, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 4, 3, 5, 3, 5, 5, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 5, 3, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 2, 4], "679": [4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4], "4889": [5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 2, 2, 5, 3, 4, 4, 4, 4, 5, 5, 2, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 3, 4, 4, 5, 3, 5, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4], "5893": [3, 5, 4, 4, 1, 1, 1, 3, 3, 5, 5, 4, 2, 3, 2, 2, 4, 4, 4, 3, 1, 1, 4, 4, 4, 3, 1, 3, 2, 1, 4, 3, 5, 3, 3, 3, 3, 3, 3, 2, 4, 2, 2, 4, 3, 4, 2, 5, 3, 4, 2, 4, 5, 3, 1, 4, 2, 4, 3, 4, 5, 2, 1, 4, 2, 4, 4, 1, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 3, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 3, 4, 3, 1, 5, 4, 2, 3, 2, 1, 2, 2, 5, 2, 3, 4, 4, 3, 1, 5, 3, 2, 1, 4, 3, 4, 2, 3, 1, 4, 2, 4, 2, 3, 2, 3, 3, 2, 1, 2, 2, 3, 2, 4, 2, 5, 2, 5, 4], "590": [4, 5, 3, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 2], "3192": [4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 2, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 1, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 3, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5], "4102": [5, 4, 3, 3, 3, 1, 1, 5, 4, 5, 5, 1, 1, 4, 3, 3, 2, 1, 2, 1, 4, 2, 4, 5, 4, 1, 3, 2, 4, 2, 5, 3, 3, 1, 5, 5, 2, 2, 2, 1, 4, 4, 1, 3, 2, 4, 2, 3, 2, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 4, 1, 3, 5, 4, 4, 5, 4, 3, 3, 5, 3, 3], "2464": [3, 4, 4, 5, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 5, 3, 4], "3405": [5, 5, 5, 5, 4, 5, 4, 1, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 2, 3, 2, 1, 3, 5, 5, 5, 5, 5, 4, 5], "5095": [5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5], "390": [3, 5, 4, 1, 3, 4, 3, 3, 4, 3, 2, 5, 3, 4, 2, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 2, 5, 4, 4, 4, 5, 3, 3, 2, 5, 4, 2, 2, 3, 4, 4, 3, 5, 5, 4, 4, 2, 2, 4, 3, 5, 5, 3, 4, 2, 5, 5, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 4, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 1, 5, 3, 4, 4, 3, 2, 4, 3, 3, 4, 4, 3, 2, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 3, 3, 4, 5, 3, 5, 3, 4, 1, 5, 5, 3, 4, 4, 4, 5], "1112": [5, 4, 3, 3, 4, 3, 4, 1, 5, 4, 5, 4, 3, 5, 5, 5, 5, 2, 3, 5, 2, 3, 5, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 1, 5, 5, 2, 2, 5, 5, 2, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 1, 5, 1, 5, 5, 5, 1, 5, 5, 4, 2, 3, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 2, 5, 1, 3, 4, 4, 3, 4, 3, 4, 2, 5, 2, 2, 2, 3, 4, 4, 5, 4, 1, 4, 4, 2, 3, 2, 2, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 4, 1, 5, 4, 3, 3, 4, 4, 3, 1, 4, 2, 4, 4, 3, 2, 1, 4, 1, 4, 3, 4, 5, 1, 4, 2, 3, 2, 3, 5, 1, 2, 4, 2, 1, 3, 4, 4, 4, 3, 4, 3, 2, 4, 3, 4, 5, 4, 4, 3, 3, 3, 2, 4, 5, 1, 4, 4, 4, 4, 2, 3, 2, 4, 4, 2, 3, 5, 5, 4, 3, 4, 4, 1, 3, 2, 4, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 2, 4, 1, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 2, 2, 3, 3, 2, 4, 3, 5, 4, 3, 3, 5, 5, 1, 4, 2, 4, 5, 5, 5, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 2, 2, 4, 3, 1, 3, 4, 3, 5, 1, 4, 2, 1, 3, 5, 4, 3, 5, 3, 1, 2, 5, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 1, 3, 5, 1, 2, 4, 2, 4, 4, 1, 2, 1, 3, 2, 3, 5, 5, 4, 5, 3, 5, 1, 1, 2, 5, 3, 4, 4, 4, 5, 2, 2, 4, 3, 1, 4, 4, 3, 4, 3, 2, 4, 2, 1, 4, 3, 3, 3, 4, 5, 4, 5, 5, 5, 2, 2, 3, 5, 2, 3, 4, 1, 4, 5, 5, 1, 3, 5, 4, 5, 4, 3, 3, 3, 4, 1, 1, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 2, 4, 4, 3, 4, 1, 2, 2, 4, 4, 5, 4, 4, 5, 3, 4, 2, 1, 4, 1, 2, 5, 4, 2, 1, 3, 3, 2, 3, 1, 4, 4, 2, 2, 1, 3, 4, 1, 5, 5, 2, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 3, 1, 5, 3, 1, 3, 2, 4, 3, 4, 3, 5, 2, 5, 5, 3, 5, 5, 4, 2, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 3, 5, 4, 4, 2, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4], "4547": [3, 2, 4, 2], "1978": [4, 1, 3, 5, 4, 1, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 1, 5, 3, 4, 3, 5, 2, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 5, 1, 3, 4, 3, 3, 4, 1, 3, 5, 1, 5, 4, 5, 2, 4, 3, 5, 1, 4, 4, 1, 2, 4, 4, 5, 2, 3, 3, 4, 3, 3, 2, 4, 4, 3, 3, 4, 4, 3, 5, 1, 4, 4, 3, 4, 3, 4, 4, 3, 2], "2988": [4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 1, 4], "2355": [5, 2, 3, 3, 4, 5, 3, 2, 5, 4, 3, 3, 3, 5, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 1, 5, 5, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 5, 3, 4, 4, 3, 5, 3, 3, 5, 2, 1, 5, 2, 5, 4, 4, 3, 2, 4, 1, 5, 4, 4, 4, 5, 5, 2, 3, 1, 3, 3, 3, 4, 4, 3, 5, 5, 4, 2, 4, 4, 3, 3, 3, 4, 4, 5, 4, 2, 1, 3, 2, 3, 2, 5, 4, 5, 1, 2, 3, 3, 4, 5, 3, 2], "4083": [5, 5, 4, 3, 1, 4, 3, 3, 5, 5, 4, 5, 5, 1, 4, 5, 1, 4, 4, 3, 1, 4, 1, 1, 5, 5, 5, 5, 3, 3, 3, 4, 2, 5, 5, 4, 3, 5, 3, 5, 5, 5, 3, 3, 1, 4, 2, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 1, 4, 4, 2, 4, 3, 5, 3, 2, 5, 4, 4, 5, 5, 4, 5, 4, 4, 2, 4, 4, 5, 1, 3, 1, 5, 3, 4, 3, 4, 5, 1, 1, 4, 3, 3, 2, 4, 1, 3, 1, 3, 3, 3, 4, 1, 5, 1, 3, 3, 2, 4, 5, 5, 2, 4, 3, 4, 1, 4, 4, 4, 3, 1, 4, 3, 2, 5, 3, 2, 1, 1, 3, 1, 1, 3, 3, 1, 5, 4, 5, 4, 2, 5, 4, 4, 1, 5, 3, 3, 1, 4, 4, 1, 2, 4, 3, 3, 1, 1, 2, 4, 1, 3, 2, 5, 4, 4, 3, 1, 4, 3, 4, 1, 3, 3, 2, 3, 2, 3, 1, 3, 3, 4, 3, 2, 1, 1, 3, 4, 4, 1, 4, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 2, 3, 2, 3, 4, 1, 1, 1, 3, 3, 2, 2, 2, 4, 3, 2, 2, 4, 1, 4, 2, 3, 3, 3, 4, 5, 2, 4, 1, 4, 1, 4, 3, 3, 5, 5, 3, 3, 3, 3, 5, 1, 1, 3, 3, 5, 4, 4, 2, 2, 1, 1, 2, 1, 3, 3, 4, 3, 3, 5, 2, 1, 2, 3, 1, 1, 2, 2, 5, 4, 2, 2, 3, 4, 4, 3, 5, 1, 1, 3, 4, 1, 4, 4, 2, 4, 4, 4, 4, 2, 5, 3, 5, 2, 4, 3, 4, 1, 3, 4, 4, 1, 3, 4, 2, 3, 1, 2, 4, 4, 1, 5, 3, 4, 2, 3, 3, 1, 2, 3, 5, 1, 2, 5, 1, 3, 1, 3, 2, 5, 3, 4, 5, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 1, 1, 3, 3, 4, 1, 1, 1, 3, 3, 1, 4, 5, 5, 4, 4, 4, 2, 1, 1, 3, 1, 1, 2, 4, 3, 1, 1, 4, 4, 3, 4, 3, 3, 3, 3, 1, 1, 1, 1, 4, 4, 4, 3, 1, 4, 3, 2, 4, 1, 5, 4, 1, 3, 1, 3, 1, 3, 3, 4, 5, 1, 1, 3, 5, 1, 4, 2, 1, 5, 4, 5, 2, 4, 1, 4, 4, 2, 1, 2, 3, 3, 1, 3, 4, 1, 2, 5, 4, 5, 3, 3, 3, 2, 2, 4, 2, 2, 2, 2, 4, 1, 2, 4, 2, 1, 2, 5, 3, 4, 2, 5, 5, 5, 5, 4, 4, 3, 5, 3, 5, 3, 2, 1, 5, 2, 2, 2, 3, 4, 4, 3, 1, 4, 3, 5, 4, 4, 4, 1, 4, 3, 1, 1, 4, 2, 4, 1, 2, 2, 5, 1, 2, 3, 1, 4, 1, 1, 3, 3, 2, 2, 5, 3, 3, 1, 5, 2, 3, 3, 4, 4, 1, 5, 5, 5, 1, 2, 5, 3, 5, 3, 3, 4, 3, 1, 3, 3, 1, 5, 3, 5, 4, 1, 3, 5, 4, 3, 2, 3, 4, 5, 3, 3, 3, 1, 3, 5, 4, 5, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3, 1, 3, 4, 1, 3, 2, 1, 1, 1, 1, 3, 5, 2, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 4, 4, 5, 4, 3, 2, 4, 1, 4, 3, 5, 5, 4, 3, 3, 1, 5, 1, 3, 4, 1, 5, 5, 4, 4, 1, 5, 1, 3, 4, 4, 4, 1, 4, 2, 5, 4, 3, 3, 4, 5, 2, 3, 5, 3, 1, 5, 1, 1, 3, 4, 4, 1, 1, 3, 2, 1, 5, 3, 5, 1, 1, 1, 3, 4, 3, 1, 5, 4, 3, 3, 4, 4, 3, 2, 2, 4, 5, 1, 4, 4, 4, 1, 3, 2, 3, 5, 3, 1, 5, 3, 3, 4, 2], "4904": [4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 3, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 2, 5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5], "5116": [4, 5, 5, 4, 5, 4, 5, 5], "4211": [2, 3, 3, 2, 2, 4, 4, 4, 5, 4, 4, 1, 2, 4, 1, 4, 4, 2, 2, 3, 4, 2, 3, 2], "551": [4, 3, 3, 4, 2, 4, 4, 5, 5, 5, 4, 4, 2, 4, 3, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 2, 4, 3, 3, 5, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 4, 3, 4, 4, 3, 4, 3, 2, 3, 5, 4, 4, 4, 2, 4, 4, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 3, 2, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4], "158": [5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 2, 4, 5, 5, 2, 4, 4, 4, 4], "83": [5, 1, 3, 3, 1, 5, 5, 5, 5, 5, 3, 5, 3, 2, 3, 4, 4, 5, 3, 2, 3, 1, 4, 4, 2, 3, 5, 1, 4, 4, 5, 5, 2, 4, 2, 5, 1, 1, 4, 5, 5, 4, 4, 5, 2, 4, 3, 4, 3, 3, 5, 5], "2953": [3, 5, 2, 2, 4, 2, 4, 1, 4, 3, 2, 1, 1, 1, 5, 4, 5, 2, 2, 4, 4, 3, 5, 3, 3, 5, 3, 3, 5, 4, 4, 3, 4, 3, 3], "2353": [2, 5, 4, 4, 4, 5, 3, 3, 5, 3, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 4, 3, 3, 5, 3, 5, 2, 3, 3, 5, 4, 3, 2, 3, 5, 2, 3, 4, 5, 3, 3, 4, 2, 1, 3, 2, 4, 5, 5, 2, 2, 3, 2, 4, 5, 4, 3, 3, 4, 2, 3, 3, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 2, 2, 5, 1, 5, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 2, 5, 5, 4, 4, 4, 3, 2, 4, 3, 5, 2, 5, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 3, 5, 5, 2, 2, 2, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 3, 3, 4, 2, 4, 3, 5, 2, 5, 5, 5], "3611": [3, 5, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 2, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 3, 5, 5, 2, 4, 5, 4, 5, 5, 4, 3, 2, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 3, 3, 5, 4, 3, 4, 4, 2, 1, 4, 5, 3, 5, 3, 5, 5, 3, 3, 3, 4, 3, 2, 2, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 2, 5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 1, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 3, 1, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 2, 2, 2, 3, 3, 4, 5, 4, 3, 4, 4, 2, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 2, 4, 4, 3, 5], "3440": [5, 2, 4, 5, 3, 3, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 4], "4571": [4, 4, 3, 5, 5, 4, 3, 5, 4, 4, 3, 3, 3, 4, 2, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4], "2035": [5, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 2, 3, 2, 2, 3, 4, 5, 3, 5, 4, 5, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 5, 2, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 4, 3, 5, 5, 4, 3, 2, 5, 3, 3, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 2, 3, 3, 2, 5, 3, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 1, 3, 2, 4, 3, 2, 2, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 2, 2, 3, 4, 3, 2, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 2, 2, 5, 4, 4, 5, 3, 3, 4, 3, 5, 3, 4, 4, 5, 2, 3, 3, 3, 3, 5, 3, 4, 5, 3], "4791": [4, 2, 4, 4, 2, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 4, 3, 3, 3, 3, 4, 1, 3, 5, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 4, 2, 5, 2, 2, 2, 5, 3, 4, 4, 2, 4, 3, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 1, 4, 3, 5, 3, 3, 3, 2, 4, 4, 3, 4, 1, 3, 4, 3, 3, 3, 5, 1, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 1, 5, 5, 5, 1, 3, 3, 4, 3, 3, 2, 5, 2, 2, 1, 3, 3, 3, 1, 4, 3, 3, 2, 4, 4, 2, 3, 4, 3, 2, 4, 3, 4, 2, 2, 3, 2, 3, 4, 3, 2, 2, 4, 3, 3, 3, 2, 1, 3, 2, 3, 5, 4, 4, 4, 4, 1, 4, 3, 3, 3, 3, 5, 3, 2, 3, 2, 3, 2, 5, 3, 3, 2, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4], "4742": [3, 3, 4, 3, 5, 3, 4, 5, 5, 2, 5, 2, 4, 2, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 4, 5, 3, 4, 5, 4, 5, 2, 3, 3, 4, 3, 5, 5, 5, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 1, 4, 3, 3, 3, 4, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 5, 4, 3, 3, 2, 2, 5, 2, 3, 3, 2, 4, 2, 3, 2, 4, 5, 5, 5, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 2, 4, 3, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 2, 3, 4, 2, 4, 3, 1, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 5, 3, 2, 4, 3, 4, 2, 3, 3, 2, 4, 3, 3, 3, 2, 5, 2, 4, 2, 1, 4, 4, 3, 3, 2, 2, 2, 3, 3, 2, 3, 4, 4, 3, 3, 2, 4, 5, 3, 3], "490": [2, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 3, 5, 1, 3, 5, 4, 1, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 3, 4, 4, 3, 5, 1, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 2, 3, 3, 4, 5, 4, 2, 2, 4, 3, 5, 2, 3, 2, 5, 5, 5], "2064": [4, 4, 1, 3, 5, 5, 5, 3, 2, 5, 4, 4, 5, 3, 5, 3, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 2, 5, 5, 3, 3, 2, 3, 5, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 1, 5, 5, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 5, 1, 4, 4, 5, 4, 2, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 5, 5, 5, 3, 5, 3, 5, 1, 4, 2, 3, 4, 3, 4, 3, 5, 5, 1, 5, 5, 4, 5, 5, 3, 5, 5, 5, 3, 3, 4, 1, 3, 5, 1, 4, 5, 4, 5, 3, 4, 1, 5, 5, 5, 5, 4, 1, 3, 1, 1, 5, 3, 4, 3, 5, 5, 5, 2, 5, 4, 5, 2, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 2, 5, 5, 3, 5, 5, 5, 4, 5, 2, 5, 5, 5, 3, 3, 5, 5, 3], "3167": [5, 5, 3, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 2, 4, 4, 3, 4, 5, 3, 5, 4, 4, 3, 5, 5, 3, 4, 2, 5, 5, 2, 5, 5, 5, 2, 1, 4, 3, 5, 4, 3, 1, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 2, 1, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 3, 4, 2, 5, 4, 3, 5, 3, 1, 1, 2, 3, 4, 3, 5, 5, 3, 4, 3, 3, 4, 4, 5, 1, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 2, 4, 4, 2, 4, 5, 2, 5, 3, 5, 1, 3, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5], "5916": [3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 1, 2, 4, 3, 3, 4, 2, 3, 5, 4, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 4, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 5, 3, 4, 4, 5, 2, 5, 4, 3, 3, 3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 3, 2, 4, 3, 4, 2, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 3, 3, 2, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 2, 5, 3, 4, 3, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 4, 4, 5, 3, 2, 3, 3, 4, 2, 3, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 2, 3, 2, 4, 3, 3, 3, 2, 4, 3, 2, 3, 1, 2, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 4, 2, 3, 5, 3, 3, 3, 3, 2, 4, 5, 3, 2, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 3, 1, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 2, 4, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 3, 3, 5, 3, 2, 4, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 2, 5, 1, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 1, 3, 3, 4, 3, 3, 3, 1, 3, 3, 2, 4, 5, 2, 4, 3, 3, 4, 3, 3, 1, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 4, 4, 5, 3, 4, 4, 4, 5, 1, 1, 4, 4, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 4, 2, 2, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 4, 3, 3, 2, 5, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 4, 5, 1, 3, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 1, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 1, 3, 3, 3, 3, 4, 4, 3, 5, 2, 4, 2, 3, 3, 4, 3, 3, 3, 5, 4, 4, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 4, 2, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 1, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 3, 5, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 3, 5, 4], "3572": [5, 4, 4, 5, 5, 3, 5, 1, 4, 4, 5, 5, 3, 1, 5, 4, 5, 5, 3, 5, 3, 5, 2, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 1, 5, 5, 5, 5, 3, 4, 3, 3, 5, 2, 4, 5, 3, 5, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 4, 3, 5, 3, 1, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5], "4921": [4, 3, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 2, 5, 4, 1, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 2, 5, 5, 4, 4, 5, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 4, 5, 4, 1, 4, 3, 3, 2, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4], "406": [3, 3, 5, 4, 4, 4, 4, 3, 4, 1, 4, 4, 5, 2, 3, 4, 2, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 4, 2, 3, 1, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 5, 1, 4, 3, 1, 3, 5, 4, 3, 1, 3, 4, 3, 3, 2, 1, 4, 1, 4, 3, 4, 4, 4, 5, 1, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 3, 3, 4, 5, 3, 2, 2, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 5, 5, 5], "3023": [4, 3, 2, 3, 2, 4, 4, 2, 5, 5, 4, 3, 3, 2, 3, 3, 4, 4, 3], "2684": [3, 2, 5, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 2, 3, 3, 5, 3, 4, 3, 4, 5, 5, 3, 2, 4, 3, 4, 4, 2, 4, 4, 3, 2, 3, 4, 3, 2, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 2, 5, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 2, 1, 4, 4, 4, 3, 4, 4, 5, 2, 3, 4, 2, 3, 3, 4, 2, 3, 5, 4, 2, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 2, 5, 3, 3, 4, 4, 3, 5, 3, 3, 4, 5, 2, 2, 4, 2, 3, 3, 3, 3, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 2, 3, 4, 5, 4], "5642": [4, 1, 1, 3, 3, 3, 2, 1, 5, 3, 5, 3, 1, 4, 2, 4, 4, 4, 5, 2, 5, 3, 1, 5, 2, 4, 4, 3, 5, 5, 5, 5, 1, 4, 4, 2, 1, 3, 3, 5, 2, 4], "1944": [4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 1, 5, 2, 4, 3], "3098": [3, 3, 3, 5, 4, 4, 5, 4, 4, 2, 4, 3, 3, 2, 2, 5, 2, 3, 2, 5, 4, 4, 4, 4, 3, 2, 1, 3, 4, 4, 2, 2, 3, 3, 4, 4, 3, 1, 1, 1, 4, 2, 2, 3, 4, 1, 5, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3], "1084": [4, 2, 4, 3, 4, 3, 2, 3, 5, 5, 3, 5, 3, 5, 2, 5, 3, 3, 3, 3, 1, 2, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 2, 1, 2, 3, 2, 3, 3, 2, 2, 3, 3, 5, 3, 3, 4, 3, 5, 2, 5, 4, 1, 3, 3, 3, 3, 3, 5, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 2, 3, 4, 2, 2, 4, 2, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 5, 2, 2, 4, 2, 5, 2, 4, 3, 2, 2, 4, 4, 3, 5, 1, 5, 3, 4, 2, 4, 4, 3, 2, 5, 4], "5422": [1, 4, 5, 4, 3, 2, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 1, 3, 2, 4, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 3, 5, 2, 4, 5, 4, 4, 3, 4, 1, 4, 5, 3, 3, 5, 3, 2, 2, 2, 5, 2, 4, 4, 3, 2, 3, 5, 2, 5, 4, 5, 5, 4, 2, 2, 5, 3, 2, 3, 2, 3, 4, 3, 3, 2, 4, 4, 4, 5, 2, 5, 3, 4, 4, 3, 2, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 5, 4, 5, 5, 4], "265": [2, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 2, 4, 5, 4, 4, 5, 5, 2, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 1, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 2, 3, 5, 3, 5, 2, 4, 4, 4, 3, 4], "4660": [5, 4, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 1, 5, 5, 5, 2, 3, 5, 4, 4, 3, 3, 3, 5, 3, 4, 3, 3, 4, 1, 4, 4], "2127": [3, 2, 3, 2, 1, 3, 3, 1, 4, 5, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 2, 3, 2, 1, 3, 2, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 1, 4, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 1, 4, 3, 4, 2, 3, 4, 4, 4, 1, 3, 3, 2, 4, 2, 5, 3, 4, 4, 2, 3, 3, 2, 5, 3, 4, 4, 3, 3, 1, 2, 3, 5, 2, 2, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 3, 2, 2, 3, 4, 2, 3, 2, 3, 2, 1, 4], "4509": [3, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 2, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 5, 3, 4, 5, 5, 4, 2, 3, 4, 4, 3, 1, 5, 3, 2, 4, 5, 4, 5, 3, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 3, 4, 5, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 5, 4, 2, 3, 4, 5, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 1, 2, 1, 4, 5, 4, 3, 4, 5, 4, 3, 5, 4, 3, 3, 3, 5, 5, 4, 4], "242": [3, 2, 4, 2, 2, 1, 4, 3, 3, 4, 3, 2, 3, 4, 3, 2, 1, 3, 2, 4, 5, 3, 5, 3, 5, 5, 4, 4, 3, 4, 4, 2, 2, 4, 2, 5, 3, 2, 4, 3, 3, 4, 2, 5, 2, 5, 3, 3, 5, 2, 5, 4, 2, 2, 4, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 2, 5, 4, 4, 4, 4, 2, 3, 3, 3, 2, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 2, 5, 5, 3, 2, 3, 2, 3, 3, 3, 2, 5, 3, 3, 4, 4, 3, 2, 2, 2, 3, 5, 4, 3, 3, 4, 3, 3, 4, 5, 4, 3, 4, 2, 3, 4, 3, 4, 2, 2, 3, 2, 3, 2, 3, 4, 4, 4, 3, 5, 2, 4, 3, 2, 4, 3, 2, 3, 3, 2, 4, 2, 3, 2, 4, 4, 3, 2, 5, 5, 2, 4, 3, 3, 3, 3, 4, 5, 3, 3, 1, 2, 4, 5, 2, 5, 2, 2, 2, 3, 1, 2, 2, 3, 4, 2, 5, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3], "1731": [3, 4, 3, 4, 5, 3, 5, 3, 5, 4, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 2, 2, 5, 3], "4450": [2, 2, 4, 3, 2, 4, 3, 3, 4, 5, 4, 2, 2, 4, 3, 4, 3, 3, 2, 3, 3, 3, 4, 4, 2, 3, 3, 3, 4, 1, 4, 2, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 3, 1, 1, 2, 3, 2, 3, 4, 3, 4, 2, 2, 3, 2, 4, 3, 5, 4, 3, 2], "2873": [3, 4, 3, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 5, 1, 4, 4, 5, 4, 4, 3, 3, 5, 2, 4, 1, 3, 3, 3, 1, 4, 3, 4, 5, 5, 3, 4, 2, 4, 1, 1, 4, 3, 5, 5, 5, 3, 4, 3, 4, 3, 3, 5, 2, 1, 4, 4, 2, 3, 4, 5, 5, 5, 4, 2, 3, 2, 2, 4, 4, 3, 3, 5, 2, 3, 4, 5, 2, 5, 4, 4, 5, 2, 3, 3, 3, 4, 3, 3, 5, 3, 5, 3, 4, 4, 4, 3, 3, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 3, 3, 2, 3, 4, 4, 5, 3, 4, 5, 2, 4, 3, 3, 5, 4, 4, 5, 2, 3, 4, 3, 3, 5, 3, 5, 3, 2, 4, 4, 3, 2, 2, 4, 4, 4, 3, 4], "5737": [5, 3, 4, 5, 5, 2, 3, 4, 1, 4, 4, 1, 5, 4, 4, 5, 2, 5, 3, 5, 3, 2, 4, 2, 4, 4, 4, 4, 4, 5, 2, 4, 1, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 3, 4, 4, 3, 4, 5, 2, 4, 5, 3, 2, 2, 5, 5, 3, 5], "1784": [1, 5, 4, 4, 1, 5, 3, 4, 2, 2, 5, 2, 2, 4, 2, 1, 3, 1, 3, 1, 5, 4, 4, 4, 1, 3, 1, 3, 3, 4, 3, 1, 1, 2, 5, 5, 5, 4, 5, 3, 4], "2931": [5, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 2, 3, 4, 2, 4, 4, 3, 3, 5, 3, 4, 4, 3, 5, 1, 4, 4, 5, 3, 3, 4, 1, 2, 5, 3, 2, 2, 4, 3, 3, 5, 1, 2, 5, 1, 4, 5, 4, 2, 5, 5, 3, 2, 4, 5, 1, 4, 3, 3, 3, 1, 3, 4, 4, 5, 5, 3, 3, 3, 5, 5, 3, 5, 2, 4, 3, 3, 5, 4, 5, 5, 4, 3, 2, 5, 1, 3, 4, 3, 2, 5, 5, 3, 2, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 4, 5, 3, 5, 5, 2, 5, 3, 3, 5, 1, 5, 2, 5, 3, 5, 3, 4, 4, 5, 3, 2, 4], "5146": [4, 1, 4, 1, 1, 4, 4, 4, 5, 2, 4, 5, 4, 5, 3, 4], "5891": [5, 4, 4, 3, 4, 1, 4, 1, 3, 3, 5, 4, 4, 3, 5, 4], "5280": [3, 5, 4], "1369": [4, 5, 5, 2, 3, 4, 2, 1, 5, 4, 4, 4, 2, 5, 5, 2, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 2, 4, 4, 3, 3, 4, 5, 1, 3, 5, 5, 5, 5, 2, 5, 5, 4, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 1, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 5, 1, 5, 3, 5, 5, 4, 4, 1, 4, 4, 3, 4, 4, 5, 5, 2, 4, 4, 4, 5, 3, 4, 3, 2, 4, 4, 5, 5, 2, 5, 5, 3, 3, 5, 5, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 5, 4, 5, 2, 4, 2, 4, 5, 4, 2, 3, 5, 1, 5, 4, 5, 3, 4, 4, 5, 3, 4, 3, 3, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 2, 3, 4, 2, 5, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 2, 5, 4, 5, 3, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 3, 5, 2, 1, 4, 1, 5, 1, 4, 4, 3, 3, 2, 4, 5, 3, 5, 5, 5, 2, 4, 4, 5, 3, 5, 5, 4, 2, 1, 3, 4, 2, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 2, 2, 3, 3, 4, 5, 3, 5, 3, 2, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 5, 1, 5, 4, 5, 3, 4, 4, 5, 5, 3, 3, 2, 3, 2, 1, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 4, 2, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 3, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 2, 2, 5, 4], "468": [5, 3, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 3, 2, 4, 2, 5, 3, 3, 4, 5, 2, 5, 1], "3204": [5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 2], "591": [4, 1, 3, 4, 4, 4, 3, 4, 4, 1, 2, 4, 1, 4, 1, 2, 4, 3, 4, 4, 4, 2, 4, 4, 2, 5, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 2, 4, 4, 3, 3, 4, 4, 2, 3, 4, 1, 5, 2, 4, 3, 3, 4, 1, 4, 4, 1, 2, 2, 5, 2, 4, 4, 5, 4, 5, 1, 4, 5, 4, 1, 4, 4, 5, 1, 4, 3, 3, 3, 1, 4, 4, 2, 4, 4, 4, 2, 2, 4, 3, 4, 3, 4, 1, 2, 4, 1, 4, 4, 4, 4, 3, 3, 2, 1, 1, 4, 4, 4, 3, 5, 5, 5, 3, 4, 3, 1, 4, 1, 4, 1, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 1, 1, 4, 2, 4, 4, 4, 4, 4, 1, 4, 4, 3, 1, 2, 5, 4, 2, 3, 5, 2, 5, 2, 2, 2, 2, 2, 2, 4, 1, 5, 1, 5, 2, 1, 2, 5, 3, 2, 3, 1, 4, 5, 4, 5, 5, 1, 1, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 3, 3, 3, 2, 4, 2, 3], "3628": [5, 4, 3, 1, 3, 4, 2, 3], "3160": [4, 4, 4, 3, 4, 3, 2, 4, 5, 4, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 4, 4], "1546": [2, 4, 2, 1, 4, 4, 5, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 4, 1, 2, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 5, 4, 3, 3, 3, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 3, 2, 4, 3, 5, 4, 4, 2, 4, 2, 5, 2, 4, 5, 1, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 5, 1, 5, 5, 4, 4, 2, 4, 3, 5, 4, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 5, 1, 4, 5, 4, 5, 5, 5, 3, 4, 1, 2, 3, 5, 3, 3, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 2, 1, 1, 5, 5, 4, 5, 3, 4, 4, 3, 4, 5, 4, 5, 3, 2, 4, 5, 4, 5, 1, 5, 5, 3, 5, 5, 4, 4, 2, 4, 1, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 2, 5, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 2, 2, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 1, 5, 4, 3, 5, 1, 5], "1742": [4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 2, 1, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 1, 3, 3, 5, 1, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4], "1032": [4, 4, 3, 5, 4, 4, 4, 3, 5, 5, 5, 3, 4, 3, 3, 4, 2, 5, 3, 5, 3, 4, 3, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 2, 4, 4, 1, 4, 3, 4, 5, 4, 5, 4, 1, 4, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 5, 2, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5], "3737": [4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 2, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 5, 4, 4, 1, 4, 4], "1131": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5], "4531": [3, 5, 5, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 3, 5, 5, 2, 5, 5, 5, 2, 2, 5, 5, 5, 2, 4, 4, 4, 1, 4, 3, 4, 2, 4, 5, 5, 1, 5, 5, 1, 5, 4, 5, 4, 1, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 2, 2, 2, 5, 4, 2, 2, 3, 3, 5, 4, 5, 3, 4, 4, 2, 3, 3, 1, 3, 4, 2, 5, 1, 3, 4, 2, 5, 4, 3, 2, 1, 3, 4, 5, 5, 2, 4, 3, 5, 5, 3, 3, 4, 3, 3, 2, 1, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 3, 3, 4, 3, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 2, 3, 2, 4, 5, 3, 4, 5, 5, 4, 3, 1, 5, 1, 1, 4, 5, 5, 2, 2, 3, 2, 3, 3, 3, 3, 5, 4, 1, 5, 4, 2, 2, 1, 5, 4, 3, 1, 1, 3, 5, 4, 3, 2, 3, 5, 1, 4, 4, 5, 2, 3, 2, 5, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 5, 5, 3, 5, 3, 4, 3, 2, 5], "1100": [4, 3, 1, 1, 1, 1, 3, 1, 4, 1, 1, 3, 2, 3, 3, 1, 2, 4, 5, 1, 4, 4, 3, 1, 4, 1, 4, 2, 3, 1, 5, 3, 3, 5, 4, 2, 3, 1, 1, 3, 1, 3, 4, 2, 1, 5, 1, 1, 1, 1, 3, 1, 3, 1, 2, 2, 4, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 3, 1, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 3, 5, 1, 1, 2, 1, 3, 1, 1, 3, 2, 1, 4, 1, 1, 4, 1, 1, 3, 1, 1, 3, 2, 5, 2, 1, 1, 2, 1, 1, 2, 3, 2, 5, 2, 1, 1, 3, 1, 4, 1, 3, 4, 2, 5, 1, 3, 4, 1, 5, 4, 2, 1, 4, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 3, 4, 2, 1, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 5, 2, 3, 4, 1, 1, 1, 1, 4, 1, 1, 1, 3, 1, 3, 3, 1, 4, 2, 2, 3, 1, 3, 4, 1, 1, 1, 1, 4, 1, 1, 3, 3, 5, 4, 4, 4, 4, 2, 1, 2, 1, 1, 1, 2, 2, 1, 3, 1, 1, 3, 1, 4, 1, 1, 4, 2, 5, 2, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 4, 4, 4, 1, 1, 1, 1, 4, 1, 1, 1, 4, 4, 3, 1, 4, 1, 3, 3, 1, 1, 2, 4, 1, 4, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 2, 3, 3, 1, 2, 1, 1, 1, 1, 3, 2, 1, 1, 4, 1, 5, 4, 3, 2, 3, 5, 4, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 3, 1, 3, 4, 1, 4, 1, 3, 3, 3, 1, 1, 2, 2, 4, 1, 3, 3, 1, 1, 4, 3, 1, 1, 2, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 2, 1, 1, 1, 3, 4, 1, 1, 1, 1, 4, 2, 2, 3, 4, 1, 3, 1, 3, 3, 1, 2, 4, 3, 1, 3, 3, 1, 2, 2, 4, 1, 4, 4, 1, 1, 3, 3, 5, 2, 1, 4, 3, 1, 2, 4, 1, 1, 1, 4, 2, 1, 1, 3, 4, 2], "3984": [4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 2, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4], "4878": [2, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 5, 2, 3, 4, 3, 5, 5, 5, 3, 2, 4, 5, 2, 4, 4], "4655": [3, 3, 4, 5, 3, 2, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 2, 3, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 3, 4, 3, 1, 4, 3, 3, 3, 2, 5, 4, 5, 4, 4, 3, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 2, 4, 2, 2, 4, 3, 5, 4, 4, 3, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 5, 2, 4, 5, 4, 2, 4, 5, 3, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 2, 3, 2, 4, 3, 4, 4, 3, 3, 4, 3, 5, 4, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 2, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 1, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 5], "3250": [3, 3, 3, 3, 4, 3, 4, 2, 5, 3, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 3, 3, 3, 5, 3, 1, 4, 2, 4, 4, 3, 3, 3, 4, 2, 4, 4, 3, 1, 5, 2, 4, 3, 5, 3, 4, 5, 4, 2, 3, 2, 2, 2, 3, 3, 4, 5, 3, 4, 5, 2, 3, 4, 3, 3, 3, 2, 4, 3, 1, 4, 4, 5, 5, 3, 2, 4, 1, 5, 3, 4, 4, 2], "3836": [3, 4, 3, 2, 4, 4, 2, 5, 3, 5, 4, 4, 2, 5, 5, 4, 4, 5, 5, 3, 5, 5, 3, 4, 3, 4, 4, 3, 3, 5, 4, 1, 4, 3, 5, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 3, 5, 4, 4, 1, 5, 2, 5, 5, 2, 3, 4, 3, 3, 4, 2, 3, 3, 5, 4, 3, 2, 5, 3, 2, 4, 4, 4, 5, 4, 1, 2, 3, 2, 4, 4, 3, 3, 4, 1, 2, 4, 3, 5, 5, 1, 1, 3, 2, 3, 4, 3, 4, 4, 3, 2, 1, 3, 2, 4, 3, 4, 5, 3, 4, 5, 4, 2, 4, 3, 4, 4, 3, 4, 4, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 1, 3, 3, 3, 5, 2, 3, 4, 3, 5, 4, 3, 3, 2, 4, 5, 5, 3, 3, 3, 4, 5, 2, 3, 4, 1, 1, 1, 3, 1, 3, 5, 4, 4, 5, 3, 5, 4, 5, 3, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 5, 3, 5, 5, 4, 5, 3, 2, 5, 4, 5, 4, 5, 1, 5, 1, 3, 5, 2, 4, 3, 2, 4, 4, 2, 5, 5, 2, 3, 4, 2, 1, 4, 5, 2, 1, 1, 4, 2, 2, 4, 4, 4, 3, 2, 4, 2, 1, 1, 5, 5, 3, 3, 2, 1, 1, 1, 2, 3, 2, 5, 3, 4, 4, 5, 3, 2, 2, 2, 3, 4, 3, 3, 5, 4, 3, 3, 2, 5, 5, 2, 5, 3, 3, 2, 4, 3, 3, 3, 4, 1, 5, 2, 2, 4, 2, 5, 5, 3, 3, 5, 5, 4, 5, 5, 4, 4, 3, 5, 2, 3, 2, 2, 5, 4, 5, 3, 4, 4, 1, 4, 5, 1, 5, 2, 3, 2, 4, 4, 1, 2, 5, 5, 4, 2, 2, 2, 3, 1, 2, 1, 5, 5, 4, 3, 1, 3, 3, 5, 4, 5, 2, 5, 5, 5, 3, 1, 5, 5, 3, 2, 3, 2, 5, 5, 4, 2, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 2, 4, 4, 4, 4, 4, 3, 1, 5, 4, 3, 3], "1087": [5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 2, 4, 3, 3, 3, 5, 5, 4, 1, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 2, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 2, 2, 3, 5, 4, 4, 3, 1, 4, 4, 4, 2, 2, 4, 4, 3, 5, 4, 3, 5, 4, 5, 2, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 2, 3, 4, 4, 4, 3, 3, 5, 3, 4, 2, 5, 4, 5, 4, 5, 5, 4, 5, 4, 2, 5, 4, 4, 3, 3, 2, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 3, 2, 2, 2, 3, 4, 4, 2, 4, 4, 4, 5, 4, 3, 3, 3, 4, 2, 5, 2, 2, 5, 5, 2, 5, 5, 4, 3, 3, 1, 3, 4, 2, 2, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 4, 4, 2, 5, 2, 5, 4, 2, 1, 5, 5, 3, 2, 4, 4, 3, 2, 5, 4, 5, 3, 2, 3, 2, 2, 4, 5, 4, 5, 4, 2, 5, 5, 2, 5, 1, 5, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 5, 2, 2, 4, 4, 3, 4, 5, 2, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 2, 4, 4, 5, 4, 1, 5], "2818": [2, 4, 2, 3, 3, 4, 2, 4, 3, 4, 3, 2, 5, 4, 2, 3, 3, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 3, 3, 3, 2, 5, 4, 4, 4, 4, 4, 2, 2, 4, 2, 3, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 1, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 2, 4, 4, 3, 3, 5, 3, 1, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 5, 3, 4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 2, 5, 3, 3, 4, 4, 2, 4, 4, 5, 5, 5, 2, 4, 3, 2, 3, 5, 4, 4, 5, 4, 2, 2, 5, 3, 2, 4, 4, 3, 3, 5, 2, 4, 2, 4, 2, 5, 2, 2, 4, 3, 5, 4, 3, 4, 5, 3, 4, 1, 5, 4, 4, 4, 3, 3, 3, 4, 3, 5, 4, 5, 5, 3, 5, 3, 3, 4, 1, 4, 5, 3, 4, 4, 4, 2, 3, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 5, 3, 2, 5, 3, 4, 5, 3, 5, 2, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 2, 1, 4, 3, 3, 4, 5, 3, 5, 5, 5, 3, 4, 4, 5, 4, 4, 2], "2474": [5, 5, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 2, 5, 4, 4, 5, 2, 5, 5, 5, 3, 5, 4], "2528": [4, 3, 5, 4, 2, 4, 5, 3, 3, 3, 3, 3, 3, 5, 4, 5, 5, 4, 5, 4, 2, 2, 3, 3, 3, 5, 2, 4, 3, 2, 2, 4, 5, 5, 2, 2, 2, 5, 3, 2, 3, 3], "4684": [4, 3, 3, 4, 4, 3, 5, 4, 1, 5, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 3, 2, 2, 3, 4, 4, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4], "5001": [5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 5, 5, 5, 3, 4, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 2, 5, 5, 3, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 4, 3, 3, 4, 3, 4, 5, 2, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 3, 3, 4, 4, 2, 4, 3, 4, 4, 3, 5, 3, 5, 5, 3, 3, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 5, 3, 2, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 1, 4, 3], "4046": [4, 4, 4, 4, 3, 4, 4, 2, 2, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 3, 3, 1, 5, 4, 4, 4, 3, 3, 4, 4, 3], "2771": [5, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 1, 4, 3, 3, 5, 4, 2, 3, 1, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 4, 4, 3, 2, 4, 2, 2, 3, 3, 3, 1, 3, 3, 2, 1, 3, 3, 4, 3, 3, 4, 3, 1, 2, 3, 3, 2, 1, 5, 2, 3, 2, 1, 4, 3, 2, 4, 2, 4, 4, 4, 3, 3, 4, 1, 3, 4, 1, 1, 4, 2, 3, 2, 3, 2, 1, 3, 5, 5, 3, 4, 4, 1, 3, 1, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 1, 1, 2, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 2, 4, 4, 3, 4, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 1, 2, 1, 4, 4, 2, 2, 4, 1, 2, 1, 2, 3, 3, 3, 2, 1, 3, 4, 1, 4, 3, 2, 2, 4, 3, 3, 3, 3, 1, 3, 2, 4, 4, 2, 1, 3, 3, 4, 1, 4, 3, 2, 4, 3, 3, 2, 5, 2, 2, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 5, 3, 4, 3, 2, 1], "4685": [2, 1, 3, 3, 2, 3, 4, 5, 4, 3, 4, 4, 4, 3, 2, 5, 5, 5, 4, 3, 5, 1, 4, 5, 2, 3, 3, 2, 4, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 1, 2, 3, 3, 2, 4, 4, 2, 5, 4, 4, 5, 2, 5, 3, 2, 3, 3, 5, 5, 4, 3, 5, 4, 3, 5, 2, 3, 3, 5, 2, 3, 4, 2, 3, 4, 4, 2, 5, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 2, 2, 4, 2, 2, 2, 2, 4, 4, 3, 2, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 2, 3, 3, 3, 2, 4, 4, 2, 4, 2, 4, 2, 5, 3, 4, 2, 3, 3, 2, 2, 2, 4, 3, 1, 4, 1, 2, 4, 2, 5, 1, 1, 3, 4, 3, 3, 4, 1, 3, 4, 3, 2], "4644": [2, 3, 1, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 1, 3, 3, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 5, 4, 3, 4, 2, 5, 4, 3, 4, 4, 2, 3, 4, 5, 3, 4, 5, 1, 4, 5, 5, 5, 4, 2, 5, 3, 4, 1, 4, 5, 3, 3, 4, 5, 1, 4, 3, 5, 2, 2, 3, 2, 3, 5, 3, 5, 5, 3, 3, 5, 5, 2, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 1, 4, 4, 3, 3, 5, 3, 4], "2119": [4, 4, 1, 5, 1, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 2, 4, 5, 5, 4, 2, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 5, 4, 3, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 2, 5, 4, 4, 5], "1957": [3, 4, 3, 2, 4, 4, 3, 3, 4, 3, 5, 5, 3, 5, 5, 4, 5, 3, 3, 5, 3, 4, 5, 5, 1, 3, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3], "541": [5, 1, 4, 4, 5, 5, 4, 5, 2, 3, 2, 4, 3, 4, 4, 4, 5, 3, 3, 5, 3, 5, 5, 4, 4, 3, 4, 3, 1, 1, 3, 2, 2, 3, 3, 4, 5, 1, 5, 3, 4, 2, 3, 1, 4, 1, 2, 5, 1, 1, 3, 1, 4, 2, 3, 4, 2, 5, 5, 1, 1, 1, 4, 2, 1, 2, 5, 1, 4, 3, 2, 5, 2, 1, 3, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 2, 5, 2, 5, 1, 3, 1, 3, 2, 1, 3, 3, 4, 5, 3, 3, 4, 2, 5, 2, 3, 2, 3, 2, 5, 3, 5, 1, 3, 3, 3, 2, 3, 1, 2, 4, 2, 4, 2, 3, 5, 3, 4, 5, 5, 5, 4, 3, 4, 3, 3, 5, 3, 1, 3, 1, 3, 3, 1, 4, 3, 2, 2, 3, 3, 2, 4, 3, 4, 3, 1, 1, 3, 5, 5, 2, 2], "1415": [4, 5, 3, 4, 4, 5, 3, 4, 4, 4, 3, 2, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 2, 2, 4, 5, 2, 2, 4, 3, 5, 3, 3, 3, 4, 4, 5, 2, 5, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 5, 2, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 2, 4, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 4, 2, 4, 5, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 3, 5, 5, 3, 4, 4, 5, 3, 3, 3], "4718": [3, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5], "497": [3, 3, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4], "2489": [4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 2, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 3, 1, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 4, 2, 4, 4, 2, 5, 3, 4, 2, 3, 4, 3, 3, 3, 3, 5, 2, 3, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 3, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 3, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 2, 4, 3, 2, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4], "307": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 5, 5, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 1, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 2, 5, 4, 4, 4, 5, 4], "1613": [4, 4, 3, 2, 3, 1, 4, 3, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 1, 5, 5, 5, 5, 4, 2, 2, 5, 4, 4, 4, 1, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 2, 4, 4, 4, 2, 4, 4, 5, 5, 2, 5, 5, 3, 2, 3, 4, 4, 2, 1, 4, 3, 3, 3, 5, 4, 3, 5, 5, 4, 3, 2, 5, 5, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 1, 2, 1, 4, 2, 1, 4, 1, 4, 1, 5, 4, 4, 2, 2, 3, 5, 4, 2, 5, 4, 3, 3, 3, 4, 3, 5, 2, 4, 3, 1, 4, 4, 4, 1, 1, 3, 4, 4, 4, 5, 2, 4, 4, 4, 5, 1, 5, 2, 2, 1, 3, 1, 3, 5, 1, 4, 4, 3, 4, 5, 3, 2, 3, 2, 4, 4, 1, 4, 4, 4, 4, 2, 3, 3, 3, 3, 4, 3, 2, 1, 2, 4, 4, 5, 3, 2, 3, 2, 3, 4, 5, 1, 2, 2, 4, 1, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 1, 5, 4, 3, 4, 4, 4, 5, 2, 3, 3, 2, 5, 3, 1, 4, 3, 1, 5, 4, 3, 5, 3, 1, 4, 3, 3, 3, 2, 3, 4, 4, 3, 5, 2, 3, 3, 4, 4, 3, 3, 2, 3, 4, 2, 4, 1, 2, 4, 4, 5, 4, 4, 5, 1, 3, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 5, 1, 4, 2, 1, 3, 1, 4, 1, 3, 3, 3, 5, 3, 4, 2, 2, 4, 3, 2, 4, 5, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 5, 5, 1, 3, 2, 4, 4, 2, 1, 4, 3, 3, 5, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 3, 5, 3, 2, 3, 3, 4, 4, 5, 4, 4, 5, 3, 2, 1, 2, 2, 4, 3, 2, 4, 4, 2, 4, 3, 4, 4, 4, 1, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 2, 5, 3, 3, 5, 4, 4, 4, 2, 4, 3, 2, 1, 4, 1, 3, 5, 1, 4, 4, 4, 3, 3, 4, 2, 2, 4, 4, 2, 4, 5, 2, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 5, 2, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 2, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 3, 5, 3, 4, 3, 2, 2, 4, 3, 5, 4, 3, 4, 4, 2, 4, 4, 2, 3, 4, 2, 3, 3, 5, 1, 1, 4, 2, 2, 3, 2, 5, 4, 5, 4, 3, 2, 3, 1, 4, 3, 2, 3, 4, 1, 1, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 1, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 4, 5, 4, 4, 5, 5, 2, 3, 2, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 1, 3, 3, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 1, 3, 4, 3, 3, 5, 2, 4, 5, 1, 5, 3, 3, 2, 3, 2, 2, 4, 3, 4, 4, 5, 4, 5, 2, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 1, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 1, 2, 3, 3, 2, 3, 5, 3, 4, 4, 2, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 2, 3, 3, 5, 5, 5, 5, 2, 1, 4, 4, 3, 5, 5, 3, 3, 4, 5, 2], "1367": [2, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 1, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 2, 4, 2, 5, 3, 4, 4, 5, 3, 4, 3, 3, 3, 5, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 2, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 5, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 3, 3, 5, 4, 2, 4, 3, 4, 2, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 3, 2, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 5, 4, 1, 5, 4, 2, 4, 2, 3, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 2, 2, 4, 5, 4, 3, 5, 4, 2, 5, 3, 3, 2, 4, 5, 5, 4, 5], "3362": [4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3], "5956": [2, 2, 4, 3, 4, 4, 2, 3, 3, 2, 3, 5, 3, 4, 5, 4, 2, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 2, 4, 3, 4, 2, 4, 2, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 3, 2, 5, 5, 3, 4, 5, 4, 5, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 2, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 4, 5, 4, 2, 5, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3, 3, 3, 2, 4, 3, 4, 3, 1, 4, 3, 3, 4, 3, 2, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4], "4093": [3, 5, 5, 4, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 2, 3, 5, 4, 4, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5], "5816": [5, 3, 3, 3, 5, 4, 2, 2, 3, 5, 5, 4, 3, 5, 3], "5494": [4, 4, 5, 5, 5, 4, 2, 2, 5, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 2, 2, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 1, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5], "1348": [3, 4, 3, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 2, 2, 4, 2, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 2, 4, 4, 3, 3, 3, 4, 5, 3, 4], "4821": [4, 1, 4, 1, 4, 4, 4, 5, 5, 3, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 2, 4, 4, 2, 5, 3, 2, 3, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 2, 3, 3, 2, 3, 4, 2, 3, 5, 3, 3, 5, 4, 4, 5, 4, 3, 2, 5, 4, 1, 4, 2, 4, 4, 5, 4, 3, 4, 2, 4, 4, 1, 5, 5, 4, 3, 5, 3, 3, 3, 3, 5, 5, 2, 3, 2, 3, 5, 2, 5, 5, 5, 4, 5, 4, 5, 3, 3, 2, 1, 4, 4, 3, 3, 4, 3, 5, 3, 4, 5, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 5, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 2, 1, 3, 2, 2, 4, 5, 4, 4, 4, 5, 3, 3, 3, 5, 1, 5, 3, 3, 4, 2, 2, 4, 1, 3, 4, 4, 3, 4, 5, 3, 1, 2, 4, 5, 3, 4, 3, 4, 2, 4, 2, 2, 2, 3, 4, 4, 4], "1441": [4, 3, 5, 2, 4, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 4, 4, 5, 2, 3, 3, 2, 3, 3, 5, 3, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 3, 4, 3, 1, 5, 3, 5, 3, 3, 3, 5, 3, 5, 4, 3, 4, 3, 5, 4, 2, 4, 2, 2, 2, 2, 4, 2, 2, 5, 3, 3, 5, 4, 3, 5, 4, 3, 4, 4, 2], "4976": [2, 4, 5, 2, 3, 4, 2, 5, 4, 2, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 2, 4, 5, 4, 3, 4, 2, 4, 1, 3, 2], "4468": [4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 2, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 2, 3, 3, 5, 5, 5, 3, 4, 3, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 1, 4, 3, 5, 4, 4, 5, 4, 5, 4, 2, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 3], "3466": [4, 4, 5, 4, 5, 5, 4, 5, 2, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 2, 5, 4], "5944": [1, 5, 4, 4, 1, 1, 1, 5, 4, 1, 1, 5, 4, 1, 4, 1, 3, 1, 1, 1, 5, 4, 1, 1, 1], "163": [2, 4, 1, 5, 3, 2, 2, 5, 4, 3, 1, 2, 3, 3, 4, 2, 1, 3, 4, 2, 2, 1, 2, 3, 1, 3, 3, 1, 3, 3, 1, 2, 3, 3, 3, 2, 2, 1, 4, 1, 1, 3, 3, 2, 1, 3, 2, 4, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 2, 3, 4, 3, 2, 2, 1, 1, 3, 2, 3, 1, 2, 1, 2, 3, 1, 1, 4, 1, 2, 1, 3, 3, 2, 2, 3, 1, 5, 2, 1, 4, 2, 2, 3, 2, 3, 2, 1, 3, 1, 1, 1, 2, 4, 3, 1, 2, 1, 2, 2, 2, 2, 3, 1, 1, 1, 4, 1, 2, 2, 2, 3, 1, 2, 1, 4, 1, 1, 1, 2, 2, 3, 1, 5, 4, 2, 3, 1, 5, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 1, 3, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 3, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 3, 4, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 3, 1, 2, 4, 1, 4, 3, 3, 1, 1, 3, 1, 1, 3, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 5, 1, 2, 3, 1, 1, 3, 1, 1, 3, 2, 1, 4, 1, 2, 2, 3, 2, 1, 2, 4, 3, 2, 1, 3, 2, 3, 3, 3, 3, 1, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 1, 3, 1, 2, 3, 1, 1, 3, 3, 1, 2, 2, 4, 1, 4, 2, 5, 3, 4, 2, 1, 5, 1, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 3, 1, 3, 3, 3, 4, 2, 1, 2, 1, 2, 1, 3, 1, 2, 4, 1, 4], "4467": [4, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 2, 5, 4, 2, 1, 3, 3, 4, 2, 4, 3, 3, 2, 3, 5, 3, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 4, 5, 5, 4, 2, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 2, 3, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 2, 4, 4, 3, 2, 4, 2, 4, 2, 4, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 5, 3], "5291": [5, 5, 5, 3, 3, 3, 3, 5, 3, 4, 4, 3, 5, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3], "2171": [4, 3, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 4, 3, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5], "1781": [2, 3, 5, 3, 5, 4, 4, 4, 5, 2, 4, 3, 1, 2, 2, 2, 3, 4, 4, 4, 3, 3, 2, 1, 5, 4, 3, 2, 4, 5, 3, 5, 3, 3, 5, 1, 3, 4, 1, 1, 5, 4, 1, 4, 3, 1, 5, 2, 4, 3, 2, 3, 5, 4, 4, 3, 3, 1, 5, 5, 3, 4, 3, 3, 4, 1, 4, 3, 4, 1, 3, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 1, 4, 3, 3, 5, 5, 2, 5, 5, 5, 3, 3, 4, 5, 4], "1988": [3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 2, 5, 3, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 1, 3, 3, 5, 4, 4, 3, 4, 2, 2, 4, 2, 3, 3, 4, 4, 4, 4, 3, 4, 1, 5, 4, 5, 3, 4, 3, 4, 2, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 2, 3, 5, 3, 3, 2, 3, 4, 5, 5, 2, 4, 2, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 1, 4, 1, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 3, 4, 5, 3, 3, 4, 3, 4, 3, 4, 5, 2, 3, 2, 2, 3, 2, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 4, 2, 4, 3, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 5, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 5, 4, 3, 4, 2, 4, 3, 4, 3, 4, 5, 4, 1, 4, 4, 4, 3, 2, 5, 4, 2, 2, 4, 3, 3, 4, 2, 4, 3, 3, 3, 5, 4, 1, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 1, 4, 4, 4, 4, 1, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 2, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 4, 2, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 3, 3, 5, 5, 4, 4, 4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 5, 4, 3, 2, 3, 3, 3, 4, 2, 5, 4, 2, 2, 3, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 3, 2, 4, 5, 4, 3, 4, 3, 2, 1, 5, 5, 3, 4, 5, 3, 3, 4, 4, 1, 3, 3, 3, 3, 5, 4, 2, 4, 5, 2, 4, 3, 4, 4, 3, 5, 3, 2, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5], "1364": [3, 3, 5, 3, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 5, 3, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 2, 4, 4, 5, 3, 2, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4], "4725": [3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 5, 2, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 3, 4, 3, 5, 4, 4, 3, 3, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 5, 3, 3, 4, 4, 3, 3, 1, 3, 4, 3, 4, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 2, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 3, 5, 2, 3, 1, 3, 5, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 2, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 5, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 5, 1, 3, 2, 3, 4, 1, 3, 3, 3, 3, 4, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 1, 3, 1, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 4, 1, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3], "5830": [4, 5, 4, 4, 4, 2, 3, 5, 3, 3, 2, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 2, 4, 5, 5, 3], "1783": [4, 2, 4, 1, 4, 4, 5, 3, 4, 5, 5], "1377": [3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 4, 3, 2, 5, 2, 3, 2, 3, 2, 5, 1, 3, 3, 4, 4, 3, 3, 3, 3, 1, 2, 1, 4, 4, 2, 4, 2, 1, 1, 3, 1, 3, 5, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 4, 2, 4, 3, 3, 2, 5, 1, 5, 3, 1, 2, 3, 1, 3, 2, 4, 4, 3, 3, 2, 3, 2, 2, 4, 3, 4, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 4, 3, 2, 3, 2, 3, 4, 3, 1, 4, 4, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 3, 5, 2, 3, 2, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 4, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 5, 2, 2, 2, 4, 4, 3, 3, 5, 3, 3, 4, 2, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 1, 3, 2, 1, 4, 2, 3, 4, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 2, 5, 3, 3, 2, 1, 4, 3, 3, 3, 3, 1, 4, 5, 5, 1, 3, 3, 4, 3, 3, 2, 2, 4, 4, 2, 3, 3, 4, 3, 2, 4, 3, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 2, 4, 3, 1, 5, 2, 4, 3, 3, 3, 4, 3, 1, 2, 3, 2, 1, 3, 4, 3, 3, 3, 5, 3, 3, 2, 1, 3, 3, 5, 3, 2, 3, 3, 5, 1, 3, 3, 3, 4, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 2, 4, 3, 2, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 2, 3, 1, 4, 5, 3, 2, 2, 2, 1, 4, 2, 3, 1, 3, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 2, 1, 2, 3, 3, 2, 2, 2, 4, 3, 4, 3, 4, 3, 2, 3, 1, 3, 5, 2, 3, 2, 3, 3, 2, 3, 2, 2, 4, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 4, 3, 3, 2, 3, 4, 4, 4, 3, 5, 3, 3, 3, 2, 4, 1, 5, 4, 2, 4, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 3, 4, 3, 3, 4, 3, 3, 3, 1, 5, 5, 4, 2, 3, 3, 3, 2, 2, 4, 1, 3, 5, 3, 4, 3], "190": [4, 4, 4, 2, 5, 4, 2, 3, 3, 5, 3, 4, 3, 3, 5, 5, 3, 4, 4, 5, 3, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 2, 3, 4, 4, 5, 4, 5, 2, 4, 4, 2, 3, 5, 4, 3, 5, 2, 4, 2, 3, 4, 2, 4, 3, 2, 5, 4, 5, 3, 2, 3, 1, 5, 1, 5, 3, 5, 5, 2, 3, 3, 5, 2, 4, 5, 4, 5, 3, 4, 5, 5, 2, 3, 3, 3, 1, 5, 1, 2, 3, 4, 2, 5, 5, 3, 4, 3, 4, 5, 3, 3, 5, 5, 4, 2, 4, 3, 3, 5, 3, 4, 5, 5, 4, 4, 3, 3, 5, 5, 3, 3, 5, 5, 3, 5, 3, 3, 5], "635": [5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 2, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 3, 5, 3, 5, 1, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 2, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 2, 4, 5, 4, 5, 5], "2169": [3, 2, 5, 4, 2, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4], "5103": [3, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 5, 2, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 3, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 1, 3, 3, 3, 5, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3], "5761": [5, 2, 3, 5, 5, 4, 1, 2, 1, 2, 2, 4, 1, 4, 4, 1, 3, 5, 4, 2, 4, 3, 4, 2, 3, 2, 1, 4, 3, 3, 4, 4, 2, 1, 2, 4, 3, 3, 5, 5, 1, 2, 2, 1, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 3, 2, 1, 2, 5, 4, 4, 3, 3, 4, 5, 4, 2, 3, 2, 3, 3, 3, 3, 2, 5, 3, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 1, 4, 2, 4, 1, 3, 5, 4, 3, 4, 2, 5, 5, 5, 3, 5, 4, 5, 4, 1, 2, 2, 3, 4, 2, 4, 4, 5, 5, 3, 5, 4, 4, 4, 1, 5, 2, 3, 4, 1, 3, 1, 3, 3, 4, 3, 1, 4, 2, 4, 4, 4, 2, 1, 4, 3, 5, 1, 1, 3, 1, 4, 4, 2, 2, 2, 1, 1, 1, 4, 3, 3, 4, 5, 4, 3, 1, 3, 1, 3, 5, 2, 4, 4, 4, 4, 2, 4, 4, 3, 5, 4, 5, 3, 5, 1, 4, 4, 3, 3, 2, 3, 3, 5, 4, 5, 5, 4, 3], "2658": [4, 3, 5, 3, 5, 4, 4, 5, 3, 2, 4, 1, 3, 4, 5, 3, 5, 5, 5, 4], "1118": [4, 2, 5, 3, 2, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 3, 5, 3, 3, 4, 3, 5, 5, 5], "1072": [4, 5, 3, 4, 1, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 1, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5], "3446": [5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5], "594": [3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 1, 4, 1, 5, 1, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 1, 4, 5, 1, 5, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 1, 4, 5, 4, 3, 5, 5, 1, 5, 1, 5, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 4, 5, 1, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5], "3619": [4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 1, 4, 3, 4, 3, 5, 1, 5, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5], "3622": [3, 5, 4, 3, 2, 4, 1, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 1, 2, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 2, 3, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 5, 1, 4, 2, 1, 3, 4, 5, 3, 3, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 1, 1, 5, 3, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 3, 5, 4, 4, 5, 5, 1, 5, 4, 2, 5, 5, 5, 2, 4, 5, 3, 2, 5, 2, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 3, 3, 4, 5], "5607": [2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 3, 4, 2, 4, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 3, 2, 2, 5, 3, 3, 3, 4, 3, 5, 4, 4, 3, 5, 3, 4, 5, 4, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4], "5138": [2, 4, 4, 3, 5, 4, 4, 4, 4, 4, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 5, 2, 3, 3, 3, 5, 4, 1, 3, 4, 2, 5, 2, 2, 4, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 2, 2, 4, 3, 3, 2, 4, 5, 2, 4, 2, 3, 4, 3, 4, 3, 3, 5, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 4, 5, 3, 3, 5, 3, 4, 2, 3, 3, 3, 4, 4, 5, 2, 3, 3, 3, 3, 3, 2, 3, 2, 4, 1, 2, 4, 2, 3, 2, 2, 4, 4, 2, 3, 5, 3, 4, 5, 3, 4, 3, 5, 2, 2, 5, 5, 2, 2, 2, 3, 5, 4, 4, 3, 3, 5, 2, 4, 5, 4, 2, 3, 2, 3, 3, 3, 1, 4, 3, 4, 3, 2, 4], "3432": [3, 3, 2, 4, 4, 3, 3, 3, 5, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 2, 4, 3, 2, 2, 2, 3, 3, 5, 5, 4, 2, 3, 3, 2, 1, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 1, 2, 1, 3, 5, 2, 3, 3, 5, 4, 2, 3, 5, 3, 3, 5, 5, 4, 5, 5, 5, 4, 3, 3, 2, 5, 3, 5, 4, 3, 3, 4], "2339": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "4282": [3, 1, 5, 3, 5, 4, 2, 4, 4, 2, 2, 4, 4, 3, 2, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3], "4441": [5, 1, 5, 2, 3, 3, 1, 3, 2, 3, 2, 1, 2, 1, 5, 2, 5, 2, 4, 2], "514": [4, 5, 4, 3, 5, 3, 3, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 2, 3, 2, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 3, 3, 5], "4032": [5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 1, 5, 4, 3, 3, 4, 3, 3, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 5, 4, 3, 5, 5, 5, 1, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 3, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 4, 5, 4, 3, 5, 3, 5, 5, 4, 4, 3, 5, 4, 4], "4646": [5, 4, 4, 5, 3, 3, 3, 2, 4, 2, 2, 4, 3, 4], "5351": [3, 5, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3], "4383": [4, 3, 5, 2, 5, 3, 4], "5512": [4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 3, 4, 3, 2, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 3, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 2, 4, 5, 4, 4, 5, 4, 2, 4, 3, 4, 5, 5, 4, 2, 4, 5, 3, 4, 3, 4, 5, 5, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 3, 5, 3, 1, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4], "5596": [5, 4, 3, 2, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 1, 4, 2, 4, 4, 5, 5, 3, 5, 3, 4, 5, 5, 4, 2, 5, 5, 5, 5, 4, 4, 5, 5, 3, 3, 5, 1, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 5, 3, 3, 3, 2, 3, 4, 1, 5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 2, 4, 5, 4, 4, 4, 5, 5, 4, 2, 2, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 2, 5, 5, 4, 3, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 2, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 5, 5, 2, 4, 2, 4, 5, 5, 5, 5], "1884": [4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 3, 5, 3, 5, 3, 4, 5, 4, 4, 5, 3, 4, 1, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 2, 4, 4, 5, 4, 5, 4, 5, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 3, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 2, 4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 4, 2, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 3, 4, 5, 1, 2, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 5, 2, 5, 5, 5, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 1, 3, 5, 4, 5, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 1, 5, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 4, 2, 2, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 3, 3, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 2, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5], "2467": [5, 2, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5], "4338": [4, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 2, 4, 3], "4303": [5, 3, 5, 3, 4, 3, 5, 1, 3, 3, 4, 3, 1, 1, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 4, 5, 5, 4, 5, 4, 3, 3, 3, 1, 3, 5, 3, 3, 3, 2, 3, 4, 5, 4, 5, 4, 1, 2, 5, 3, 3, 3, 5, 5, 3, 5, 3, 4, 4, 2, 1, 4, 4, 2, 5, 2, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 5, 2, 5, 5, 3, 5, 2, 4, 4, 4, 4, 3, 5, 2, 3, 4, 5, 2, 3, 4, 2, 1, 2, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 1, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 1, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 3, 5, 5, 3, 4, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 4, 3, 2, 4, 4, 1, 2, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 2, 3, 5, 4, 4, 4, 4, 1, 3, 2, 4, 4, 4, 5, 5, 2, 3, 3, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 1, 3, 1, 1, 5, 5, 2, 2, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 2, 4, 1, 5, 3, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 2, 1, 4, 4, 3, 4, 4, 2, 3, 3, 4, 3, 3, 5, 5, 4, 4, 5], "5638": [5, 4, 4, 1, 1, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 3, 1, 3, 3, 3, 3, 5, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 3, 3, 3, 3, 3, 1, 5, 3, 3, 3, 5, 4, 4, 4, 4, 5, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 3, 5, 3, 1, 5, 3, 3, 4], "1278": [4, 5, 3, 3, 5, 4, 2, 2, 3, 5, 5, 3, 5, 4, 3, 3, 3, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 5, 5, 1, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 3, 5, 5], "4888": [3, 4, 4, 4, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 5, 5, 1, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 2, 4, 2, 5, 5, 3, 4, 5, 5, 3, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 1, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 1, 1, 5, 3, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 2, 3, 4, 4, 5, 5, 5, 4, 5, 5, 2, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 2, 5, 5, 4, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 3, 4, 5, 5, 5, 1, 4, 5, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 5], "368": [5, 5, 5, 4, 5, 3, 4, 3, 3, 3, 4, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 4, 5, 4, 3, 4, 2, 3, 4, 4, 5, 4, 2, 2, 4, 3, 3, 3, 3, 2, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 2, 3, 2, 4, 4, 3, 3, 4, 5, 4, 2, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 2, 1, 5, 3, 5, 3, 2, 5, 5, 1, 3, 4, 4, 3, 3, 5, 4, 2, 5, 4, 3, 4, 3, 2, 5, 4, 5, 5, 5, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 3, 5, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 1, 2, 3, 3, 3, 5, 4, 4, 4, 5, 4, 4], "2860": [3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 2, 4, 2, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 2, 5, 2, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 3, 3, 2, 4, 5, 5, 3, 5, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 4, 5, 5, 3, 3, 5, 3, 2, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 1, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 1, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 4, 1, 5, 3, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 4, 3, 3, 5, 3, 5, 2, 5, 3, 5, 4, 4, 4, 4, 3, 1, 4, 5, 2, 3, 5, 5, 3, 4, 4, 2, 4, 4, 4, 4, 2, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 3, 4, 3, 3, 5, 3, 5, 3, 4, 3, 1, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 2, 5, 3, 3, 1, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 2, 4, 5, 3, 4, 4, 5, 4, 3, 3, 1, 4, 5, 4, 4, 4, 3, 4, 4, 5, 2, 4, 1, 5, 2, 5, 4, 4, 5, 5, 3, 2, 3, 4, 4, 5, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5], "4511": [5, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 5, 3, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3], "1190": [3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4], "657": [4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5], "4451": [2, 2, 2, 3, 2, 2, 1, 4, 2, 3, 2, 4, 2, 1, 4, 3, 3, 4, 2, 3, 2, 2, 3, 3, 4, 5, 1, 3, 3, 1, 4, 4, 2, 2, 3, 3, 1, 4, 4, 5, 3, 1, 1, 4, 5, 4, 3, 5, 4, 3, 2, 3, 1, 3, 3, 1, 4, 3, 4, 3, 3, 3, 3, 1, 4, 3, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 1, 5, 3, 4, 2, 3, 3, 4, 3, 4, 5, 3, 3, 3, 1, 2, 4, 3, 2, 3, 3, 2, 4, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 1, 2, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 1, 3, 4, 4, 2, 2, 4, 3, 1, 1, 1, 3, 3, 3, 1, 4, 4, 2, 3, 1, 4, 3, 1, 3, 4, 4, 3, 1, 2, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 1, 3, 3, 2, 2, 4, 5, 3, 4, 3, 1, 4, 3, 4, 3, 1, 2, 4, 3, 3, 2, 2, 1, 3, 1, 3, 1, 3, 4, 4, 3, 2, 4, 3, 4, 5, 3, 1, 2, 3, 3, 3, 4, 2, 3, 3, 3, 5, 3, 3, 3, 4, 3, 3], "915": [4, 4, 1, 5, 3, 5, 2, 3, 4, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 3, 3, 2, 3, 2, 5, 3, 1, 3, 5, 3, 3, 3, 5, 4, 3, 3, 3, 4, 2, 1, 3, 3, 5, 3, 1, 3, 3, 1, 3, 5, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 2, 3, 1, 1, 3], "4640": [2, 2, 2, 5, 5, 1, 3, 4, 4, 1, 4, 3, 2, 2, 1, 5, 2, 2, 3, 3, 5, 4, 3, 4, 5, 3, 1, 3, 1, 1, 1, 2, 2, 2, 4, 2, 3, 2, 4, 4, 4, 3, 2, 2, 3, 3, 3, 1, 3, 1, 5, 4, 3, 2, 4, 4, 2, 5, 1, 3, 2, 4, 3, 4, 3, 3, 2, 1, 1, 3, 2, 1, 2, 1, 1, 3, 4, 4, 2, 4, 2, 2, 2, 3, 5, 5, 5, 3, 2, 3, 1, 3, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 3, 1, 2, 4, 1, 1, 4, 3, 2, 4, 1], "1948": [2, 3, 3, 5, 4, 3, 5, 5, 4, 5, 3, 1, 2, 5, 3, 2, 1, 2, 1, 3, 4, 1, 3, 5, 5, 1, 1, 2, 4, 3, 2, 1, 3, 1, 4, 3, 2, 5, 5, 2, 1, 4, 5, 1, 5, 5, 4, 2, 4, 1, 1, 5, 3, 4, 1, 1, 2, 4, 5, 5, 5, 1, 4, 3, 5, 1, 5, 3, 1, 5, 5, 4, 4, 4, 1, 3, 1, 3, 5, 3, 4, 2, 4, 1, 1, 2, 5, 3, 4, 1, 3, 3, 3, 2, 1, 2, 4, 1, 4, 1, 3, 4, 4, 5, 2, 4, 3, 3, 2, 3, 4, 5, 5, 3, 3, 5, 3, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 1, 2, 3, 4, 5], "4523": [2, 3, 4, 4, 1, 5, 4, 3, 1, 5, 4, 5, 1, 5, 1, 3, 4, 3, 4, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 2, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 2, 1, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 1, 1, 4, 5, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 3, 5, 3, 4, 2, 4, 5, 5, 4, 3, 2, 2, 3, 2, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 1, 3, 4, 1, 5, 4, 2, 1, 1, 2, 5, 5, 4, 1, 1, 4, 4, 1, 5, 5, 5, 2, 1, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 1, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 2, 5, 4, 4, 4, 3, 3, 5, 3, 5, 3, 4, 1, 4, 1, 4, 5, 5, 2, 4, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 3, 2, 4, 3, 1, 3, 1, 2, 4, 4, 3, 4, 2, 4, 3, 4, 4, 2, 1, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 5, 3, 5, 5, 5, 5, 1, 3, 4, 4, 4, 4, 1, 5, 1, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 1, 3, 1, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 5, 5, 5, 2, 3, 2, 4, 3, 4], "5812": [2, 2, 2, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 3, 3, 3, 2, 4, 2, 4, 4, 4, 3, 2, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 2, 5, 5, 4, 5, 4, 4, 4, 5, 5, 2, 4, 4, 5, 2, 5, 1, 5, 3, 3, 5, 4, 4, 5, 4, 4, 2, 5, 4, 5, 3, 3, 2, 4, 5, 3, 4, 3, 2, 3, 4, 5, 4, 5, 4, 3, 4, 2, 5, 4, 5, 2, 5, 2, 4, 3, 4, 1, 2, 4, 3, 5, 4, 4, 2, 2, 3, 3, 2, 3, 4, 4, 3, 5, 3, 4, 4, 2, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 2, 2, 5, 4, 4, 4, 5, 4, 3, 3, 3, 5, 5, 3, 4, 5, 4, 4, 2, 5, 3, 2, 4, 2, 4, 3, 3, 3, 2, 2, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 5, 2, 4, 3, 4, 3, 3, 4, 1, 4, 4, 3, 3, 3, 3, 1, 3, 3, 4, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 4, 2, 4, 5, 2, 4, 5, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 4, 5, 3, 3, 2, 5, 5, 3, 5, 5, 3, 5, 4, 3, 2, 3, 3, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 2, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 2, 4, 5, 3, 2, 3, 1, 5, 3, 5, 2, 3, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 3, 3, 5, 3, 5, 5, 1, 5, 3, 5, 3, 5, 5, 5, 5, 5, 2, 2, 4, 2, 4, 5, 3, 3, 5, 1, 4, 5, 5, 2, 4, 5, 2, 3, 5, 5, 5, 5, 3, 4, 5, 4, 1, 3, 1, 1, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 2, 1, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 4, 2, 3, 4, 3, 2, 5, 2, 5, 5, 3, 2, 3, 1, 5, 3, 3, 5, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 2, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 1, 5, 4, 2, 4, 4, 4, 3, 5, 5, 4, 2, 4, 4, 5, 2, 4, 4, 2, 3, 2, 3, 2, 2, 1, 5, 2, 3, 3, 5, 3, 3, 3, 4, 3, 5, 3, 4, 2, 5, 4, 5, 3, 5, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 5, 5, 4, 2, 3, 3, 3, 4, 4, 4, 3, 5, 2, 3, 3, 3, 4, 4, 3, 5, 1, 2, 2, 2, 2, 3, 3, 5, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 5, 5, 2, 4, 5, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 5, 3, 3, 4, 2, 3, 5, 5, 5, 5, 4, 3, 3, 2, 2, 5, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 4, 5, 3, 2, 5, 2, 2, 3, 4, 5, 5, 5, 1, 4, 2, 4, 3, 4, 4, 1, 5, 3, 3, 5, 3, 5, 5, 1, 3, 4, 2, 4, 3, 4, 5, 5, 2, 4, 5, 2, 4, 3, 3, 2, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 2, 5, 1, 2, 2, 5, 2, 4, 4, 4, 4, 2, 5, 3, 2, 2, 4, 3, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 2, 3, 2, 2, 2, 2, 5, 5, 3, 3, 3, 1, 2, 5, 3, 5, 4, 3, 3, 4, 3, 1, 5, 3, 5, 2, 4, 4, 4, 3, 5, 5, 1, 5, 5, 5, 5, 3, 2, 4, 2, 3, 5, 1, 1, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 4, 5, 2, 3, 4, 3, 5, 2, 4, 5, 4, 5, 4, 5, 2, 4, 5, 2, 5, 4, 4, 5, 3, 5, 4, 3], "939": [3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 1, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 2, 3, 5, 3, 4, 3, 4, 2, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 2, 3, 3, 2, 5, 3, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 3, 5, 2, 5, 4, 4, 3, 5, 5, 5, 4, 5, 2, 4, 3, 4], "2750": [3, 5, 3, 4, 4, 1, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 3, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 4, 2, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 3, 5, 4, 5, 5, 3, 5, 3, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 2, 5, 5, 4, 4, 5, 1, 4, 3, 5, 5, 4, 3, 5, 5, 4, 4], "2799": [5, 3, 5, 4, 4, 5, 3, 5, 5, 5, 4, 2, 3, 4, 4, 5, 2, 3], "928": [5, 5, 4, 2, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 2, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 3, 5, 4, 4, 4, 2, 5, 5, 2, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4], "3048": [5, 4, 4, 4, 2, 3, 4, 5, 2, 5, 5, 5, 2, 1, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 2, 4, 5, 4, 2, 4, 5, 4, 3, 4], "3600": [3, 4, 4, 5, 4, 5, 4, 5, 3, 5, 3, 4, 1, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 2, 4, 1, 5, 3, 5, 2, 1, 5, 3, 1, 1, 5, 4, 5, 4, 5, 5, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 1, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 1, 4, 1, 4, 3, 5, 1, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 2, 4, 1, 3, 4, 4, 2, 5, 5, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 1, 5, 3, 1, 4, 3, 1, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 5, 4, 3, 4, 2, 5, 3, 5, 4, 5, 4, 5, 5, 4, 3, 5, 3, 5, 4, 3, 1, 3, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 3, 4, 5, 5, 5, 4, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 3, 4], "4392": [5, 4, 4, 1, 5, 5, 3, 5, 4, 4, 1, 3, 2, 3, 3, 4, 1, 4, 4, 2], "4797": [4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 4, 2, 3, 4, 4, 1, 4, 5, 5, 1, 4, 5, 3, 4, 5, 4, 2, 5, 4, 5, 2, 4], "4191": [3, 3, 5, 5, 5, 5, 4, 5, 5], "4459": [4, 5, 4, 2, 3, 4, 2, 2, 3, 4, 3, 5, 2, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 5, 3, 5, 5, 1, 5, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 2, 5, 4, 5, 3, 4, 4, 3, 3, 2, 4, 3, 3, 5, 2, 4, 3, 3, 3, 4, 3, 4, 5, 5, 5, 2, 5, 3, 5, 3, 5, 4, 2, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4, 3], "144": [1, 3, 3, 1, 2, 3, 4, 5, 3, 1, 5, 5, 5, 1, 1, 5, 3, 5, 1], "4831": [5, 5, 5, 4, 5, 4, 2, 4, 5, 3, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 2, 5, 5, 5, 5, 3, 5, 4, 5, 5, 3, 4, 2, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 3, 5, 2, 3, 5, 3, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 3, 2, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 1, 3, 3, 4, 5, 4, 4, 2, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 3, 3, 2, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 2, 4, 4, 5, 5, 5, 4, 3, 4, 4, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 1, 1, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 4], "2307": [5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4], "473": [5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 2, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 2, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4], "5247": [5, 1, 5, 3, 3, 3, 2, 3, 4, 1, 3, 3, 2, 5], "4804": [1, 3, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 1, 2, 3, 3, 2, 3, 3, 4, 2, 4, 3, 4, 2, 4, 3, 4, 3, 2, 3, 3, 1, 2, 3, 4, 2, 2, 1, 1, 2, 3, 1, 1], "821": [3, 2, 3, 4, 4], "2853": [3, 5, 2, 5, 2, 4, 4, 4, 2, 5, 5, 5, 1, 2, 4, 2, 5, 3, 3, 2, 4, 4, 4, 5, 5, 1, 4, 5, 1, 5, 2, 2, 4, 5, 4, 5, 4, 3, 2, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 1, 2, 3, 5, 1, 1, 3, 4, 1, 1, 3, 2, 5, 1, 5, 3, 3, 3, 5, 4, 5, 3, 4, 4, 5, 4, 5, 2, 4, 2], "1928": [5, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 3, 3, 5, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 5, 5, 3, 3, 5, 4, 4, 5, 3, 5, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 2, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 5, 2, 1, 3, 3, 5, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4], "5744": [4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 3, 5, 3, 5, 5, 5, 4, 5, 3, 4, 5, 1, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 5, 3, 2, 4, 3, 2, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 2, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 2, 5, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 1, 4, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 4, 4, 1, 1, 4, 1, 3, 4, 3, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 3, 1, 3, 4, 4, 4, 5, 4, 2, 3, 4, 4, 2, 2, 2, 1, 4, 5, 4, 5, 2, 4, 5, 3, 3, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 2, 5, 2, 3, 4, 5, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 3, 2, 5, 4, 4, 3, 4, 3, 3], "3768": [4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 5, 2, 5, 4, 3, 3, 3, 4, 4, 4, 5, 3, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 3, 4, 3, 4, 3, 5, 5, 3, 3, 3, 5, 3, 2, 5, 5, 3, 3, 4, 3, 3, 3, 2, 5, 4, 5, 3, 4, 4, 3, 4, 2, 3, 4, 2, 3, 2, 3, 4, 4, 2, 2, 3, 3, 4, 2, 3, 2, 4, 4, 3, 3, 2, 5, 4, 2, 1, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 4, 4, 1, 4, 3, 2, 3, 3, 2, 2, 1, 3, 4, 2, 3, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 2, 2, 3, 3, 2, 4, 5, 2, 3, 3, 4, 5, 3, 2, 4, 3, 3, 3, 4, 4, 4, 2, 3, 5, 4, 2, 2, 4, 3, 3, 4, 4, 4, 1, 1, 1, 1, 3, 3, 5, 3, 2, 3, 4, 2, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 4, 3, 4, 4, 2, 3, 4, 5, 4, 3, 2, 4, 2, 4, 2, 4, 2, 3, 3, 4, 5, 5, 3, 4, 5, 3, 5, 4, 2, 4, 4, 3, 2, 4, 2, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 2, 2, 4, 2, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 3, 4, 3, 3, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 2, 2, 2, 4, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 3, 4, 4, 2, 2, 4, 2, 5, 3, 4, 4, 4, 3, 3, 3, 2, 4, 3, 2, 2, 3, 3, 4, 2, 2, 3, 4, 3, 2, 3, 3, 1, 3, 1, 4, 5, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 2, 5, 4, 3, 3, 2, 2, 3, 2, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 4, 2, 5, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4, 2, 2, 5, 4, 4, 3, 5, 2, 2, 4, 3, 3, 1, 3, 1, 4, 5, 5, 4, 3, 3, 2, 4, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 2, 4, 4, 4, 3, 5, 3, 4, 2, 4, 5, 2, 5, 4, 4, 3, 5, 2, 2, 2, 5, 4, 4, 3, 2, 4, 4, 2, 3, 3, 2, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 5, 3, 3, 2], "4456": [3, 4, 3, 5, 2, 5, 5, 5, 3, 2, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 1, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 1, 4, 5, 4, 4, 5, 2, 5, 4, 4, 1, 4, 5, 4, 5, 2, 5, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 2, 3, 5, 1, 3, 5, 3, 5, 5, 5, 4, 5, 1, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 1, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 1, 5, 4, 5], "2386": [4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 5, 3, 4, 3, 2, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 4, 5, 3, 5, 4, 4, 3, 3, 3, 5, 5, 3], "4143": [5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 1, 5, 5], "4652": [5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5], "2445": [4, 3, 4, 1, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 1, 3, 4, 3, 2, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 4, 1, 3, 4, 4, 5, 3, 4, 3, 3, 2, 3, 3, 4, 2, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 5, 3, 3, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 2, 5, 4, 3, 5, 2, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 4, 4, 1, 5, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 4, 4, 3, 2, 3, 2, 5, 4, 5, 5, 4, 5, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 5, 4], "5243": [2, 1, 4, 5, 5, 5, 2, 3, 3, 5, 4, 4, 3, 2, 1, 1, 4, 4, 4, 1], "247": [3, 4, 4, 3, 3, 3, 4, 5, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 4, 4, 3, 3], "1115": [2, 3, 3, 2, 2, 4, 4, 3, 3, 2, 3, 5, 3, 3, 3, 2, 1, 2, 4, 5, 4, 2, 2, 3, 1, 1, 3, 2, 2, 4, 2, 2, 3, 5, 1, 2, 1, 3, 4, 3, 2, 3, 4, 3, 4, 4, 4, 5, 4, 2, 4, 5, 4, 2, 5, 1, 5, 3, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 1, 4, 2, 1, 2, 5, 2, 5, 5, 3, 2, 4, 4, 3, 4, 3, 5, 2, 4, 1, 5, 5, 5, 3, 4, 5, 5, 3, 3], "2728": [3, 4, 4, 3, 4, 5, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 1, 1, 4, 5, 4, 4, 2, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 1, 1, 4, 4, 4, 4, 3, 5, 4, 2, 5, 3], "2351": [4, 3, 4, 3, 3, 5, 1, 5, 2, 5, 3, 1, 2, 3, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 1, 3, 4, 2, 3, 4, 2, 3, 3, 5, 5, 3, 4, 1, 5, 5, 4, 2, 4, 5, 5, 2, 5, 2, 4, 2, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 1, 4, 2, 1, 5, 4, 2, 4, 1, 2, 5, 3, 4, 4, 5, 4, 3, 2, 2, 4, 4, 2, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 1, 4, 4], "5896": [4, 2, 3, 5, 3, 4, 2, 4, 3, 3, 1, 2, 5, 2, 3, 3, 1, 3, 1, 4, 1, 4, 1, 1, 1, 4, 4, 2, 3, 1, 3, 2, 2, 3, 1, 1, 3, 3, 4, 1, 4, 1, 4, 1, 4, 1, 2, 5, 2, 1, 3, 1, 1, 1, 4, 1, 4, 1, 1, 4, 1, 2, 3, 3, 3, 4, 3, 3, 3, 4, 1, 3, 3, 1, 3, 1, 2, 3, 2, 4, 3, 1, 1, 4, 3, 3, 3, 2, 1, 3, 3, 3, 3, 3, 2, 4, 4, 2, 3, 3, 2, 3, 1, 3, 2, 4, 3, 1, 1, 2, 1, 1, 2, 5, 4, 1, 1, 3, 1, 2, 3, 2, 1, 3, 4, 1, 1, 2, 4, 3, 1, 3, 3, 2, 4, 1, 2, 3, 4, 5, 1, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 1, 4, 3, 4, 4, 4, 1, 4, 3, 3, 3], "518": [5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 3, 3, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4], "5557": [3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 1, 5, 4, 1, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 2, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 2, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 2, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3], "5034": [3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 3, 2, 5, 4, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 3, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 4, 2, 4, 4, 5, 2, 4, 3, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5], "641": [4, 4, 5, 4, 5, 3, 5, 4, 4, 4, 1, 4, 1, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 2, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 2, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 2, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 1, 4, 4, 5, 4, 3, 3, 1, 4, 5, 5, 4, 1, 5, 1, 4, 3, 5, 4, 4, 5, 4, 5], "4717": [4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4], "2701": [2, 4, 5, 3, 5, 5, 5, 3, 4, 4, 4, 2, 4, 4, 3, 2, 5, 4, 5, 1, 4, 5, 1, 1, 3, 5, 4, 4, 5, 4, 5, 1, 2, 4, 5, 2, 4, 4, 4, 2, 1, 1, 5, 4, 2, 2, 5, 1, 2, 3, 3, 4, 5, 3, 4, 1, 2, 3, 4, 1, 4, 5, 1, 4, 4, 2, 4, 3, 5, 5, 2, 1, 3, 5, 1], "5300": [3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 3, 2, 3, 5, 4, 4, 4, 5, 5, 4, 5, 2, 4, 5, 3, 5, 4, 3, 3, 3, 4, 5, 4, 2, 1, 5, 5, 2, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 1, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 2, 5, 5, 3, 4, 4, 2, 5, 5, 5, 5], "1711": [2, 4, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 3, 4, 3, 5, 3], "1699": [3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 3, 1, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 5, 5, 3, 5, 2, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5], "3346": [4, 3, 4, 2, 5, 4, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 4, 4, 5, 2, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 4, 3, 5, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 5, 3, 3, 4, 5, 2, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 3, 2, 4, 3, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4], "1174": [4, 4, 4, 5, 4, 3, 3, 1], "600": [3, 4, 3, 4, 5, 5, 4, 5, 4, 3, 4], "4205": [5, 3, 5, 3, 3, 4, 3, 4, 5, 3, 3, 3, 5, 4, 4, 2, 3, 2, 2, 2, 3, 4, 3, 2, 3, 5, 2, 5, 4], "1635": [5, 5, 5, 3, 4, 3, 4, 2, 3, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 5, 2, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 2, 1, 2, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 5, 4, 2, 4, 5, 5, 5, 4, 4, 2, 3, 5, 3, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 2, 5, 4, 4, 1, 3, 2, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 5, 4, 4, 4, 4, 3, 5, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 5, 2, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 2, 4, 4, 4, 5, 5, 5, 4, 5, 4, 2, 1, 5, 4, 5, 3, 3, 2, 3, 3, 4, 1, 4, 3, 4, 5, 4, 2, 4, 4, 3, 5, 5, 5, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 3, 2, 5, 4, 3, 4, 2, 3, 2, 5, 4, 1, 2, 5, 4, 5, 2, 4, 4, 3, 2, 5, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 3, 3, 5, 3, 4, 5, 3, 5, 1, 5, 2, 5, 3, 2, 3, 2, 4, 3, 3, 3, 5, 3, 4, 5, 2, 3, 3, 2, 4, 5, 3, 1, 5, 3, 3, 2, 1, 4, 3, 5, 5, 4, 5, 3, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 2, 3, 4, 4, 5, 5, 4, 3, 2, 5, 5, 3, 4, 4, 5, 3, 3, 4, 2, 3, 3, 4, 4, 3, 5, 5, 4, 2, 2, 5, 4, 4, 4, 4, 2, 4, 3, 5, 5, 5, 4, 3, 4, 2, 5, 3, 5, 3, 2, 4, 4, 5, 2, 5, 3, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 1, 3, 5, 5, 3, 4, 5, 3, 2, 3, 4, 4, 4, 3, 3, 5, 2, 1, 3, 4, 2, 3, 4, 1, 4, 5, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 3, 2, 5, 4, 4, 3, 4, 4, 5, 4, 4, 2, 3, 4, 3, 2, 5, 5, 4, 4, 4, 1, 4, 5, 3, 1, 3, 3, 4, 2, 4, 3, 4, 2, 3, 3, 3, 5, 5, 3, 4, 3, 2, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 2, 3, 4, 5, 5, 2, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 2, 4, 2, 4, 5, 4, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 4, 4, 5, 3, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 2, 3, 4, 3, 4, 4, 4, 3, 2, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 1, 5, 3, 5, 4, 4, 3, 2, 5, 4, 4, 2, 4, 4, 5, 5, 3, 4, 5, 2, 3, 3, 4, 5, 3, 3, 4, 3, 4, 1, 2, 4, 5, 4, 3, 4, 4, 3, 5, 2, 4, 4, 3, 1, 5, 3, 4, 4, 4, 3, 5, 1, 3, 3, 5, 5, 3, 2, 3, 2, 4, 4, 3, 4, 4, 5, 4, 2, 3, 4, 4, 4, 3, 5, 4, 5, 2, 4, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 3, 5, 5, 3, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 4, 2, 5, 4, 3, 4, 2, 5, 5, 3, 5, 3, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 3, 5, 3, 5, 5, 1, 4, 4, 4, 5, 2, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 5, 1, 5, 3], "4514": [4, 4, 5, 4, 2, 4, 4, 3, 1, 4, 5, 2, 5, 1, 5, 4, 4, 2, 4, 2, 4, 4, 5, 4, 4, 4, 2, 2, 3, 4, 5, 2, 4, 4, 2, 4, 2, 4, 3, 3, 3, 2, 3, 5, 4, 4, 2, 5, 4, 5, 4, 5, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 1, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 2, 4, 4, 3, 4, 5, 3, 5, 4, 1, 3, 2, 4, 3, 4, 3, 4, 4, 2, 2, 2, 5, 5, 4, 3], "5109": [4, 3, 4, 4, 4, 1, 5, 4, 4, 5, 4, 5, 2, 3, 5, 4, 1, 5, 4, 4, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 5, 4, 3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 2, 4, 3, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 1, 5, 2, 4, 4, 4, 5, 2, 4, 3, 4, 4, 4, 5, 4, 2, 4, 5, 1, 3, 4], "3854": [4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 4, 5, 2, 4, 2, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 3, 5, 4, 4, 4, 5, 2, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 2, 4, 4, 5, 3, 4, 4], "4241": [5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 2, 5, 3, 3], "1878": [3, 1, 4, 5, 4, 5, 4, 2, 4, 1, 4, 5, 5, 5, 5, 2, 4, 4, 5, 1, 2, 3, 4, 3, 4, 2, 5, 3, 4, 3, 3, 3, 4, 1, 3, 4, 4, 3, 5, 3, 4, 3, 5, 4, 2, 2, 2, 3], "2340": [5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 1, 4, 5, 5, 4, 5, 3, 5, 1, 5, 5, 4, 5, 5, 4, 3, 5, 2, 4, 4, 5, 5, 5, 4, 5, 2, 4, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 5, 1, 4, 1, 4, 4, 1, 4, 5, 4, 5, 4, 3, 5, 5, 5, 2, 5, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 2, 5, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 1, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 2, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 2, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5], "3419": [2, 4, 5, 3, 4, 4, 3, 3, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 2, 5, 4, 3, 5, 2, 5, 4, 3, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 2, 4, 1, 1, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 2, 4, 3, 4, 4, 3, 4, 3, 4, 3, 5, 3, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4], "4033": [5, 4, 4, 4, 4, 3, 4, 2, 5, 4, 3, 5, 5, 5, 3, 3, 4, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 3, 3, 5, 3, 4, 2, 2, 1, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 2, 3, 3, 4, 3, 4, 3, 4, 5, 3, 2, 1, 4, 5, 5, 1, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 2, 5, 5, 5, 2, 4, 3, 5, 3, 5, 2, 5, 5, 5, 4, 4, 1, 3, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 1, 4, 2, 3, 5, 5, 5, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 5, 5, 3, 4, 5, 4, 3, 3, 4, 5, 3, 5, 4, 4, 5, 5, 3, 5, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 2, 5, 4, 4, 4, 4, 5, 2, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 3, 2, 2, 5, 4, 3, 3, 2, 3, 5, 4, 4, 2, 4, 3, 4, 3, 4, 1, 5, 5, 3, 3, 4, 3, 4, 5, 3, 3, 3, 3, 5, 4, 3, 4, 5, 3, 5, 3, 4, 3, 3, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 2, 5, 4, 5, 5, 3, 5, 4, 5, 4, 3, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 4, 2, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 5, 3, 4, 3, 3, 4, 4, 5, 3, 2, 5, 4, 2, 2, 3, 5, 5, 5, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 4, 5, 4, 3, 3, 4, 5, 5, 3, 3, 2, 5, 4, 4, 4, 2, 4, 3, 4, 5, 5, 3, 3, 5, 3, 3, 3, 3, 5, 2, 4, 5, 1, 2, 4, 3, 3, 4, 3, 3, 3, 3, 5, 3, 4, 2, 3, 3, 4, 5, 3, 3, 5, 5, 4, 2, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 2, 2, 5, 2, 4, 5, 5, 1, 2, 5, 4, 5, 3, 5, 3, 4, 4, 3, 4, 5, 3, 5, 3, 3, 5, 5, 3, 3, 3, 5, 4, 5, 5, 4, 3, 5, 3, 4, 3, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 4, 2, 3, 5, 3, 4, 3, 4, 3, 1, 5, 3, 5, 4, 5, 4, 5, 3], "855": [3, 4, 3, 3, 2, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 1, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 2, 3, 2, 2, 4, 4, 1, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 4, 4, 4, 1, 4, 3, 3, 3, 4, 5, 4, 2, 3, 3, 3, 5, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 1, 3, 3, 3, 4, 5, 2, 3, 4, 2, 4, 3, 5, 3, 4, 2, 1, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 5, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 4, 2, 4, 3, 3, 3, 3, 3, 5, 3, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 5, 2, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 1, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 2, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 2, 5, 3, 4, 4, 3, 4, 4, 2, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 3, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5], "934": [3, 3, 3, 4, 4, 3, 4, 3, 5, 5, 4, 3, 2, 2, 4, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 3, 4, 4, 2, 3, 3, 3, 1, 4, 2, 3, 4, 3, 4, 5, 2, 4, 3, 4, 4, 3, 3, 4, 3, 2, 2, 2, 5, 3, 4, 2, 3, 3, 1, 2, 3, 2, 4, 3, 3, 4, 1, 3, 4, 3, 2, 2, 2, 3, 2, 4, 2, 2, 3, 1, 1, 1, 3, 2, 3, 2, 4, 3, 2, 3, 3, 1, 3, 2, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 1, 3, 3, 2, 3, 3, 3, 3, 4, 5, 5, 1, 3, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 4, 5, 3, 2, 3, 3, 2, 2, 5, 3, 3, 3, 2, 4, 2, 2, 3, 2, 3, 1, 2, 3, 3, 5, 3, 3, 1, 3, 1, 1, 2, 2, 4, 4, 3, 3, 3, 2, 3, 5, 3, 2, 2, 4, 3, 4, 1, 3, 4, 5, 1, 4, 4, 4, 2, 4, 1, 4, 2, 5, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 5, 2, 3, 3, 3, 4, 4, 4, 2, 2, 3, 2, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 4, 3, 2, 5, 5, 3, 3, 2, 2, 4, 3, 3, 3, 1, 4, 5, 3, 3, 2, 3, 1, 2, 4, 3, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 5, 4, 3, 3, 3, 4, 2, 3, 4, 4, 2, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 2, 1, 4, 1, 3, 3, 2, 2, 3, 5, 3, 5, 3, 3, 3, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 1, 3, 3, 2, 2, 2, 2, 3, 2, 5, 2, 3, 2, 3, 1, 5, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4, 2, 3, 2, 3, 3, 2, 4, 2, 2, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 1, 5, 3, 3, 4, 1, 4, 3, 1, 4, 2, 2, 2, 1, 2, 3, 3, 4, 2, 3, 2, 3, 2, 1, 3, 4, 3, 1, 2, 4, 4, 4, 2, 4, 3, 3, 4], "5669": [3, 3, 4, 3, 1, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 1, 1, 3, 2, 2, 5, 2, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 1, 4, 4, 3, 4, 4, 3, 3, 4], "4194": [4, 4, 5, 5, 3, 2, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 2, 3, 4, 3, 2, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 2, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4], "3123": [4, 5, 4, 4, 4, 5, 3, 4, 1, 3, 5, 4, 3, 1, 4, 5, 2, 4, 1, 1, 2, 5, 5, 5, 5, 3, 5, 2, 4, 4, 2, 5, 3, 5, 5, 2, 3, 3, 3, 4, 5, 4, 2, 3, 2, 3, 3, 5, 4, 5, 2, 2, 4, 1, 5, 5, 5, 5, 3, 2, 2, 1, 2, 5, 5, 4, 2, 3, 4, 4, 5, 2, 2, 5, 1, 3, 3, 5, 4, 5, 4, 5, 2, 3, 4, 5, 3, 1], "673": [5, 5, 1, 5, 5, 2, 3, 3, 1, 1, 5, 2, 2, 3, 5, 3, 1, 3, 5, 1, 5, 3, 5, 4, 1, 4, 5, 3, 5, 5, 1, 1, 3, 5, 3, 2, 5, 3, 5, 4, 3, 5, 1, 1, 3, 3, 4, 5, 5, 4, 2, 3, 5, 5, 5, 4, 2, 3, 3, 1, 5, 3, 1, 3, 2, 4, 1, 2, 1, 4, 4, 5, 3, 2, 2, 1, 1, 5, 3, 5, 5, 5, 3, 2, 4, 1, 3, 5, 5, 3, 4, 2, 2, 1, 2, 4, 3, 5, 3, 5, 5, 5, 5, 4, 1, 3, 1, 3, 1, 5, 5, 2, 1, 4, 2, 1, 4, 2, 4, 5, 5, 3, 5, 1, 4, 5, 3, 2, 3, 1, 1, 5, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 1, 5, 2, 1, 1, 1, 3, 3, 1, 5, 5, 5, 1, 1, 5, 5, 5, 5, 3, 4, 2, 3, 1, 2, 2, 3, 2, 1, 3, 5, 3, 5, 1, 1, 1, 1, 1, 5, 1, 5, 1, 3, 3, 5, 3, 3, 1, 5, 5, 5, 1, 5, 5, 5, 1, 1, 4, 5, 5, 3, 2, 5, 5, 5, 4, 2, 5, 4, 3, 5, 3, 5, 4, 3, 5, 1, 3, 3, 5, 3, 5, 3, 4, 3, 2, 1, 5, 4, 5, 3, 5, 5, 3, 2, 5, 4, 3, 5, 3, 1, 5, 3, 5, 4, 1, 4, 3, 5, 5, 5, 5, 1, 5, 5, 3, 5, 3, 5, 1, 2, 5, 5, 5, 4, 4, 1, 3, 3, 3, 5, 5, 3, 5, 5, 5, 1, 3, 5, 5, 5], "3359": [5, 4, 4, 5, 4, 5, 1, 5, 4, 5, 5, 2, 5, 1, 5, 4, 4, 1, 1, 4, 1, 4, 3, 5, 4, 2, 2, 4, 4, 5, 4, 3, 1, 4, 2, 5, 3, 4, 5, 4, 1, 3, 5, 4, 4, 3, 5, 1, 4, 4, 3, 4, 4, 2, 4, 2, 1, 5, 5, 1, 3, 4, 2, 3, 2, 4, 5, 4, 5, 5], "2223": [5, 2, 2, 3, 3, 5, 4, 3, 4, 3, 4, 4, 5, 3, 2, 3, 3, 3, 2, 4, 4, 4, 4, 3, 2, 3, 4, 2, 4, 2, 3, 2, 4, 2, 3, 4, 3, 5, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 2, 2, 3, 2, 3, 4, 5, 3, 4, 1, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 4, 2, 2, 4, 2, 3, 1, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 2, 3, 1, 2, 3, 3, 4, 4, 4, 2, 2, 2, 5, 4, 4, 5, 5, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 2, 4, 4, 3, 2, 3, 4, 3, 4, 3, 2, 5, 2, 3, 2, 3, 3, 3, 2, 5, 3, 3, 5, 2, 4, 2, 3, 4, 3, 3, 2, 1, 3, 5, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 4, 5, 4, 5, 5, 3, 4, 3, 3, 3, 3, 3, 3, 4, 1, 3, 2, 1, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 5, 4, 4, 3, 2, 2, 3, 5, 4, 3, 4, 4, 3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 5, 4, 3, 3, 2, 3, 2, 4, 3, 3, 1, 3, 3, 2, 1, 3, 2, 3, 3, 4, 2, 3, 2, 5, 2, 4, 2, 3, 4, 4, 3, 3, 2, 4, 2, 2, 4, 2, 4, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 2, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 4, 2, 3, 3, 4, 2, 4, 3, 2, 4, 4, 4, 2, 5, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 1, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 1, 5, 3, 1, 3, 3, 4, 4, 4, 3, 2, 4, 4, 1, 3, 4, 2, 5, 3, 2], "5844": [3, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 2, 4, 2, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 2, 3, 3], "4781": [3, 5, 5, 5, 2, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5], "4711": [2, 4, 4, 3, 4, 5, 3, 1, 4, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 3, 2, 5, 4, 2, 5, 4, 4, 1, 5, 3, 1, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 4, 3, 5, 4, 3, 3, 3, 5, 5, 2, 4, 4, 3, 4, 3, 5, 5, 5, 3, 4, 4, 4, 3, 3, 5, 5, 2, 5, 4, 4, 4, 5, 2, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 1], "4432": [3, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 2, 5, 4, 5, 4, 3, 3, 5, 4, 3, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4], "3312": [3, 2, 2, 2, 5, 4, 3, 5, 3, 4, 2, 3, 3, 4, 1, 4, 3, 3, 4, 4, 3, 2, 2, 4, 5, 1, 3, 1, 2, 4, 3, 2, 3, 3, 5, 2, 4, 5, 2, 4, 4, 3, 3, 4, 3, 1, 4, 2, 2, 3, 4, 1, 3, 2, 4, 2, 4, 2, 2, 2, 3, 5, 4, 4, 3, 3, 2, 3, 4, 2, 3, 2, 4, 5, 1, 3, 2, 4, 5, 1, 3, 4, 3, 3, 2, 4, 3, 3, 5, 5, 1, 4, 2, 3, 3, 3, 3, 2, 3, 5, 5, 1, 4, 3, 1, 3, 4, 2, 2, 1, 3, 3, 3, 4, 4, 2, 1, 4, 3, 3, 3, 3, 2, 5, 3, 2, 2, 4, 3, 2, 2, 2, 1, 1, 1, 5, 3, 3, 3, 4, 4, 1, 2, 4, 3, 3, 2, 5, 3, 2, 3, 3, 4, 4, 2, 3, 4, 3, 2, 3, 2, 1, 2, 4, 3, 4, 2, 3, 1, 2, 3, 3, 3, 3, 4, 1, 4, 3, 5, 1, 2, 2, 3, 3, 3, 4, 3, 5, 2, 4, 2, 3, 3, 1, 1, 3, 1, 3, 2, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 1, 3, 3, 3, 4, 2, 4, 3, 3, 1, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 1, 2, 5, 2, 3, 1, 5, 3, 1, 3, 2, 3, 2, 1, 2, 4, 4, 3, 2, 3, 1, 3, 2, 4, 4, 5, 2, 1, 3, 3, 4, 3, 1, 4, 4, 3, 3, 1, 3, 1, 3, 1, 2, 3, 2, 4, 2, 4, 2, 2, 3, 1, 4, 3, 5, 2, 5, 2, 2, 4, 3, 4, 5, 4, 3, 1, 2, 1, 3, 4, 3, 1, 3, 4, 5, 3, 3, 3, 1, 3, 4, 2, 2, 2, 3, 4, 5, 4, 4, 4, 5, 3, 3, 1, 3, 2, 4, 2, 5, 3, 3, 4, 4, 4, 3, 2, 2, 1, 5, 1, 3, 3, 5, 5, 2, 4, 1, 2, 2, 1, 2, 2, 3, 3, 3, 5, 4, 1, 4, 5, 4, 4, 1, 4, 4, 4, 4, 3, 1, 4, 4, 2, 3, 4, 2, 2, 3, 2, 4, 2, 3, 3, 4, 3, 5, 5, 1, 4, 3, 3, 5, 3, 3, 4, 4, 4, 2, 5, 3, 2, 4, 4, 2, 2, 2, 3, 2, 3, 2, 4, 4, 3, 2, 5, 3, 1, 4, 5, 4, 1, 2, 5, 3, 3, 1, 5, 1, 3, 5, 4, 3, 2, 2, 3, 3, 3, 3, 2, 4, 4, 3, 2, 4, 2, 5, 2, 3, 5, 2, 1, 2, 5, 5, 3, 4, 2, 3, 3, 4, 3, 5, 3, 5, 4], "5715": [5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 3, 3, 5, 4, 5, 3, 3, 5, 1, 2, 5, 4, 3, 2, 4, 4, 3, 4, 5, 3, 4, 3, 4, 5, 4, 5, 4, 5, 3, 5, 4, 5, 5, 2, 3, 4, 3, 4, 2, 4, 5, 5, 4, 1, 3, 1, 2, 4, 4, 2, 4, 3, 4, 5, 3, 4, 2, 5, 2, 2, 4, 5, 2, 4], "3368": [3, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 2, 1, 5, 4, 5, 5, 2, 1, 3, 5, 5, 3, 3, 1, 4, 3, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 4, 3, 5, 1, 5, 5, 3, 3, 5, 5, 5, 5, 5, 1, 2, 3, 4, 5, 5, 1, 5, 4, 5, 4, 5, 5, 2, 2, 5, 1, 5, 1, 3, 3, 4, 5, 4], "382": [4, 3, 5, 4, 4, 3, 3, 3, 5, 4, 5, 4, 5, 2, 2, 2, 3, 3, 5, 4, 5, 5, 5, 1, 5, 2, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 5, 5, 3, 5, 3, 5, 4, 2, 5, 5], "3593": [5, 2, 2, 2, 5, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 5, 2, 5, 3, 3, 5, 5, 5, 4, 4, 2, 3, 2, 4, 3, 4, 1, 2, 4, 3, 5, 2, 4, 3, 5, 5, 4, 2, 3, 5, 2, 3, 5], "2235": [3, 3, 2, 4, 5, 3, 4, 5, 3, 3, 4, 5, 4, 2, 5, 5, 5, 3, 5, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 1, 3, 5, 4, 5, 3, 3, 1, 5, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 5, 5, 3, 5, 3, 3, 5, 5, 3, 4, 3, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 5, 3, 5, 4, 2, 4, 5, 5, 5, 3, 5, 1, 3, 4, 4, 3], "5536": [1, 2, 1, 3, 4, 2, 5, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 4, 2, 2, 4, 3, 3, 5, 3, 3, 2, 2, 4, 3, 1, 4, 3, 1, 3, 4, 3, 4, 1, 3, 2, 3, 1, 2, 2, 3, 3, 2, 2, 5, 2, 3, 1, 4, 3, 2, 2, 1, 3, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 1, 2, 3, 5, 4, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 5, 3, 4, 4, 3, 1, 3, 4, 4, 3, 1, 1, 2, 4, 1, 4, 3, 2, 3, 2, 3, 4, 3, 2, 3, 2, 2, 1, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 3, 1, 3, 3, 3, 4, 2, 2, 3, 4, 3, 4, 5, 2, 2, 1, 1, 3, 4, 4, 4, 4, 3, 4, 1, 4, 1, 3, 2, 4, 4, 2, 3, 4, 2, 3, 2, 4, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 3, 3, 2, 1, 3, 4, 3, 3, 4, 5, 3, 3, 3, 4, 2, 4, 3, 3, 3, 3, 3, 5, 3, 3, 1, 2, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 2, 1, 1, 4, 3, 4, 4, 4, 3, 4, 4, 1, 3, 3, 3, 3, 1, 4, 1, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 3, 1, 3, 5, 3, 4, 3, 2, 4, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 1, 2, 3, 2, 2, 1, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 2, 5, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 4, 2, 3, 2, 2, 3, 4, 4, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 1, 4, 4, 2, 1, 2, 3, 2, 3, 2, 3, 4, 4, 3, 4, 4, 3, 2, 4, 2, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 5, 4, 3, 2, 2, 3, 3, 4, 3, 1, 2, 4, 4, 4, 2, 3, 3, 3, 2, 2, 1, 4, 3, 2, 4, 4, 3, 2, 3, 3, 3, 3, 1, 3, 4, 3, 3, 2, 3, 3, 3, 5, 3, 5, 3, 4, 1, 1, 2, 2, 2, 1, 3, 4, 3, 1, 1, 3, 2, 4, 3, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 4, 4, 3, 1, 4, 2, 4, 3, 3, 3, 3, 2, 4, 3, 2, 2, 4, 2, 4, 4, 3, 4, 3, 3, 2, 1, 1, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 1, 2, 4, 2, 3, 3, 3, 2, 3, 4, 3, 2, 4, 4, 4, 2], "5296": [3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 1, 4, 5, 2, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 2, 5, 5, 2, 2, 5, 5, 4, 5, 5, 4, 1, 5, 2], "3168": [2, 5, 2, 3, 4], "3881": [5, 3, 5, 4, 3, 5, 4, 4, 5, 5, 1, 4, 4, 3, 4, 3, 5, 3, 3, 3, 3, 5, 3, 1, 1, 3, 3, 3, 3, 4, 5, 4, 4, 5, 5, 3, 5, 1, 2, 3, 4, 4, 5, 3, 3, 5, 5, 2, 5, 3, 4, 3, 1, 4, 4, 4, 3, 5, 5, 4], "5925": [3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 3, 5, 2, 3, 5, 5, 5, 4, 4, 5, 1, 4, 4, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 5, 3, 4, 5, 5, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 2, 4, 4, 2, 5, 5, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 4, 3, 2, 4, 5, 3, 2, 4, 4, 5, 4, 3, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 2, 2, 3, 5, 2, 3, 4, 3, 4, 5, 4, 5, 5, 4, 3, 3, 4, 3, 3, 3, 5, 5, 1, 3, 4, 4, 5, 5, 5, 5, 5, 4, 2, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 2, 3, 4, 3, 4, 4, 4, 2, 5, 4, 4, 3, 4, 4, 4, 5, 2, 4, 5], "2665": [2, 4, 2, 4, 1, 2, 1, 1, 5, 4, 1, 4, 3, 5, 4, 4, 4, 1, 5, 4, 4, 4, 4, 4, 4, 5, 2, 1, 5, 1, 4, 2, 4, 3, 1, 4, 4, 4, 5, 2, 2, 5, 4, 3, 4, 3, 1, 4, 5, 4, 1, 1, 2, 2, 4, 1, 1, 1, 4, 5, 5, 3, 5, 5, 1, 4, 3, 1, 1, 1, 2, 4, 3, 1, 4, 3, 5, 4, 5, 2, 1, 5, 4, 1, 4, 5, 5, 4, 3, 4, 5, 1, 2, 1, 5, 1, 2, 2, 1, 2, 1, 4, 3, 2, 1, 2, 5, 2, 4, 5, 1, 1, 4, 5, 5, 5, 3, 3, 3, 5, 4, 4, 3, 4, 3, 1, 3, 5, 1, 4, 4, 5, 3, 4, 4, 1, 5, 2, 4, 2, 3, 1, 1, 4, 2, 2, 2, 4, 4, 3, 2, 2, 2, 5, 3, 1, 4, 4, 2, 2, 1, 4, 1, 2, 2, 5, 3, 2, 1, 2, 4, 4, 4, 4, 4, 1, 4, 3, 4, 4, 3, 3, 4, 1, 3, 4, 4, 2, 4, 4, 2, 2, 3, 4, 1, 4, 4, 1, 5, 4, 1, 4, 3, 3, 4, 3, 4, 1, 1, 5, 3, 3, 4, 3, 3, 3, 2, 2, 2, 2, 4, 1, 1, 4, 2, 4, 2, 1, 4, 1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 1, 5, 1, 1, 1, 2, 2, 2, 1, 2, 3, 4, 3, 4, 2, 4, 1, 3, 4, 1, 3, 2, 2, 3, 4, 3, 3, 2, 5, 4, 3, 5, 2, 1, 4, 1, 1, 2, 2, 4, 4, 4, 4, 1, 3, 5, 4, 4, 2, 3, 1, 3, 2, 2, 3, 4, 4, 5, 4, 5, 2, 3, 3, 2, 4, 3, 1, 4, 1, 3, 1, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 5, 2, 1, 5, 1, 5, 4, 5, 2, 4, 4, 4, 3, 5, 1, 1, 3, 3, 4, 4, 4, 4, 3, 3, 1, 4, 3, 3, 3, 4, 2, 4, 3, 1, 4, 2, 1, 4, 4, 1, 4, 2, 3, 4, 3, 1, 3, 4, 5, 1, 3, 3, 4, 2, 4, 4, 4, 4, 2, 1, 5, 1, 4, 5, 3, 5, 4, 3, 4, 5, 3, 2, 4, 2, 3, 2, 3, 1, 4, 4, 1, 3, 2, 2, 5, 4, 4, 1, 4, 4, 1, 4, 5, 1, 3, 5, 5, 4, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 4, 3, 5, 3, 1, 5, 1, 5, 1, 4, 4, 4, 3, 5, 4, 1, 1, 4, 4, 3, 5, 3, 1, 1, 1, 2, 2, 1, 2, 1, 3, 3, 2, 2, 1, 4, 3, 5, 4, 1, 1, 2, 4, 1, 2, 1, 4, 3, 4, 3, 3, 1, 5, 4, 1, 2, 3, 4, 3, 5, 3, 1, 4, 5, 5, 3, 4, 1, 1, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 1, 2, 3, 2, 2, 4, 4, 5, 1, 5, 4, 5, 4, 5, 1, 5, 4, 1, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 1, 1, 2, 3, 3, 3, 4, 4, 3, 2, 1, 4, 3, 1, 2, 4, 2, 2, 1, 1, 2, 2, 2, 5, 3, 4, 4, 5, 1, 4, 4, 5, 1, 4, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 5, 3, 1, 2, 3, 1, 4, 5, 4, 1, 3, 5, 5, 4, 4, 1, 5, 3, 1, 4, 4, 5, 4, 4, 5, 2, 1, 3, 4, 4, 4, 4, 4, 5, 3, 1, 4, 4, 2, 4, 2, 4, 1, 2, 4, 1, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 4, 4, 3, 1, 4, 1, 5, 3, 4, 4, 4, 2, 2, 4, 5, 4, 4, 3, 4, 4, 4, 1, 3, 4, 1, 3, 4, 2, 3, 5, 5, 1, 5, 5, 5, 4, 4, 3, 2, 1, 3, 2, 4, 3, 4, 1, 5, 4, 2, 5, 2, 1, 5, 2, 3, 4, 5, 4, 3, 4, 4, 4, 4, 1, 5, 4, 4, 5, 3, 1, 3, 5, 2, 4, 3, 4, 2, 4, 4, 4, 3, 3, 1, 4, 3, 4, 4, 3, 4, 4, 2, 3, 5, 5, 2, 1, 4, 3, 4, 3, 3, 1, 4, 5, 1, 4, 1, 1, 2, 5, 4, 4, 3, 4, 4], "3200": [4, 5, 3, 3, 3, 3, 5, 5, 2, 5, 4, 3, 4, 3, 2, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 5, 2, 5, 4, 3, 5, 5, 5, 4, 5, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 2, 4, 3, 5, 3, 4, 4, 3, 3, 4, 2, 5, 5, 4, 5, 4, 3, 5, 5, 3, 4, 2, 2, 5, 3, 5, 3, 5, 3, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5], "3834": [5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 1, 3, 3, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 5, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 2, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 2, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 5, 5, 1, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 1, 3, 5, 2, 4, 5, 3, 5, 3, 4, 5, 3, 1, 5, 3, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4], "1229": [4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 2, 4, 4, 5, 5, 3, 4, 2], "4023": [5, 3, 4, 1, 2, 5, 5, 4, 1, 3, 1, 3, 4, 2, 2, 4, 4, 3, 3, 5, 1, 1, 2, 2, 2, 3, 3, 1, 5, 4, 5, 3, 2, 1, 3, 2, 3, 5, 3, 4, 4, 5, 2, 4, 5, 4, 5, 2, 1, 3, 3, 5, 3, 5, 2, 3, 5, 2, 4, 4, 5, 3, 5, 5, 2, 3, 3, 1, 3, 4, 2, 1, 5, 3, 3, 1, 2, 5, 2, 1, 4], "462": [3, 3, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 2, 5, 4, 4, 5, 5, 4, 4, 2, 3, 3, 2, 3, 2, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 4, 4, 2, 1, 4, 3, 3, 3, 3, 5, 3, 3, 2, 4, 4, 4, 3, 3, 5, 2, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 5, 5, 4, 5, 3, 5, 4, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 1, 5, 4, 5, 3, 4, 4, 3, 4], "4793": [1, 4, 3, 4, 2, 4, 3, 2, 3, 4, 4, 1, 4, 5, 4, 4, 3, 2, 2, 5, 4, 5, 4, 4, 4, 2, 1, 5, 1, 1, 2, 3, 5, 5, 4, 3, 4, 3, 4, 1, 3, 5, 3, 2, 2, 5, 2, 4, 2, 4, 2, 3, 3, 2, 4, 5, 4, 2, 2, 2, 2, 4, 4, 3, 3, 3, 2, 5, 2, 4, 5, 4, 2, 2, 1, 5, 3, 3, 3, 2, 2, 5, 2, 2, 4, 4, 4, 3, 2, 3, 4, 3, 1, 3, 2, 4, 2, 4, 3, 1, 1, 3, 4, 3, 4, 2, 4, 3, 5, 3, 3, 2, 1, 3, 3, 3, 4, 1, 3, 2, 2, 4, 3, 4, 2, 1, 3, 3, 5, 3], "2437": [5, 4, 4, 5, 3, 3, 4, 2, 5, 1, 4, 5, 5, 4, 5, 5, 5, 3, 1, 3, 5, 5, 4, 5, 5, 2, 3, 4, 3, 2], "3903": [1, 4, 2, 3, 3, 3, 5, 2, 4, 3, 4, 3, 5, 3, 4, 3, 2, 4, 3, 4, 3, 3, 2, 3, 3, 4, 2, 4, 3, 4, 4, 3, 5, 3, 3, 1, 2, 2, 3, 3, 4, 2, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 4, 3, 3, 5, 4, 3, 3, 4, 4, 3, 5, 5, 4, 5, 5, 2, 2, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 5, 2, 4, 2, 4, 3, 3, 1, 3, 4, 3, 5, 3, 2, 3, 3, 3, 5, 4, 4, 3, 3, 3, 4, 3, 1, 5, 3, 3, 3, 4, 4, 5, 4, 3, 5, 4, 5, 3, 4, 4, 3, 4, 3, 3, 3, 4, 2, 5, 3, 3, 5, 3], "4792": [4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 3, 3, 5, 3, 5, 4, 2, 3, 4, 3, 4, 4], "4326": [3, 4, 4, 2, 3, 1, 4, 5, 4, 2, 1, 4, 5, 2, 4, 3, 5, 4, 5, 1, 4, 3, 3, 5, 5, 5, 2, 1, 5, 4, 3, 1, 5, 3, 5, 4, 2, 5, 5, 3, 4, 3, 3, 5, 3, 5, 3, 3, 2, 2, 5, 5, 5, 4, 4, 2, 5, 4, 5, 2, 5, 3, 3, 5, 4, 5, 3, 4, 4, 3, 5, 5, 5, 2, 5, 2, 4, 5, 3, 4, 5, 2, 2, 3, 3, 5, 5, 1], "2541": [3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 2, 4, 2, 2, 2, 4, 2, 5, 2, 4, 1, 2, 4, 4, 3, 4, 3, 3, 2, 3, 4, 4, 5, 3, 1, 2, 2, 3, 3, 4, 2, 2, 4, 3, 3, 3, 2, 4, 4, 4, 4, 5, 2, 3, 2, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 5, 2, 4, 2, 3, 4, 3, 5, 1, 3, 4, 2, 4, 2, 3, 2, 1, 4, 3, 3, 3, 3, 2, 3, 3, 4, 4, 2, 4, 3, 3, 4, 3, 2, 3, 4, 2, 4, 3, 2, 4, 4, 3, 4, 5, 4, 4, 3, 2, 4, 1, 2, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 2, 4, 2, 4, 3, 3, 3, 2, 2, 4, 1, 5, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 1, 5, 4, 4, 5, 3, 2, 5, 5, 4, 2, 3, 4, 3, 4, 2, 3, 3, 5, 4, 3, 3, 2, 5, 5, 3, 2, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 2, 4, 1, 4, 4, 3, 5, 5, 5, 2, 5, 4, 3, 4, 2, 3, 3, 4, 4, 2, 5, 3, 2, 4], "2672": [3, 5, 4, 5, 3, 5, 4, 3, 4, 2, 5, 1, 3, 4, 4, 1, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 4, 5, 3, 4, 4, 1, 3, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 2, 4], "3965": [4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 2, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 1, 5, 1, 5, 5, 2, 5, 3, 5, 4, 3, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 3, 4, 2, 3, 5, 4, 3, 5, 5, 4, 5, 4, 3, 5, 4, 2, 4, 2, 5, 4, 3, 3, 4, 4, 5, 2, 5, 5, 4, 3, 5, 3, 4, 4, 5, 3, 3, 4, 3, 3, 5, 5, 5, 2, 5, 4, 5, 4, 3, 3, 5, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 3, 3, 3, 5, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 5, 3, 4, 3, 3, 3, 5, 5, 4, 5, 5, 4, 2, 5, 4, 4, 4, 2, 5, 4, 2, 4, 5], "3475": [3, 3, 3, 2, 4, 2, 3, 4, 4, 1, 3, 2, 3, 4, 2, 4, 5, 3, 2, 3, 4, 4, 4, 5, 5, 3, 2, 3, 5, 1, 1, 5, 2, 2, 2, 2, 3, 2, 1, 4, 2, 2, 2, 1, 2, 3, 2, 1, 3, 3, 2, 4, 2, 2, 3, 1, 1, 3, 1, 3, 2, 5, 3, 2, 3, 2, 3, 4, 2, 5, 3, 5, 2, 3, 1, 3, 3, 3, 4, 3, 5, 3, 3, 3, 2, 3, 1, 3, 3, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 4, 3, 4, 2, 3, 3, 4, 1, 1, 1, 4, 3, 2, 2, 5, 3, 2, 1, 1, 4, 4, 3, 3, 4, 3, 5, 3, 2, 4, 1, 4, 2, 4, 4, 4, 2, 2, 3, 2, 2, 3, 3, 3, 3, 1, 3, 1, 3, 4, 3, 2, 1, 1, 2, 3, 4, 4, 4, 3, 1, 1, 5, 5, 3, 3, 3, 3, 2, 1, 3, 4, 2, 4, 1, 3, 4, 2, 4, 2, 3, 3, 3, 1, 4, 3, 4, 3, 4, 4, 1, 3, 4, 4, 2, 1, 1, 1, 1, 4, 4, 5, 3, 3, 1, 1, 3, 3, 3, 4, 5, 3, 4, 5, 3, 4, 4, 2, 3, 2, 3, 3, 4, 5, 1, 4, 3, 5, 4, 4, 2, 4, 3, 2, 5, 3, 1, 3, 2, 2, 4, 3, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 1, 2, 3, 3, 2, 5, 4, 5, 2, 2, 2, 3, 5, 4, 3, 2, 3, 2, 2, 4, 2, 2, 3, 2, 5, 5, 4, 4, 5, 4, 4, 3, 2, 1, 3, 3, 1, 4, 4, 3, 1, 2, 5, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 1, 4, 5, 1, 1, 2, 5, 1, 2, 1, 4, 4, 2, 4, 2, 1, 3, 2, 3, 5, 2, 3, 5, 1, 1, 3, 3, 5, 1, 3, 5, 1, 2, 2, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 1, 3, 2, 1, 4, 4, 1, 5, 4, 4, 2, 3, 2, 4, 5, 4, 1, 3, 4, 3, 2, 1, 5, 2, 1, 4, 5, 5, 5, 2, 2, 3, 2, 4, 4, 3, 2, 4, 4, 5, 3, 2, 1, 1, 4, 4, 2, 4, 4, 2, 3, 4, 2, 2, 3, 3, 4, 3, 5, 4, 4, 3, 3, 3, 5, 3, 2, 4, 3, 2, 5, 5, 3, 5, 3, 3, 2, 3, 2, 5, 3, 2, 5, 3, 4, 2, 1, 1, 1, 3, 4, 5, 4, 1, 5, 5, 1, 5, 2, 1, 1, 4, 4, 4, 3, 4, 3, 1, 5, 4, 4, 1, 5, 1, 3, 4, 4, 1, 1, 3, 2, 2, 2, 5, 3, 2, 2, 3, 3, 4, 4, 1, 1, 4, 5, 5, 2, 1, 5, 4, 3, 4, 4, 4, 3, 3, 4, 1, 2, 4, 5, 2, 3, 3, 2, 5, 4, 5, 3, 2, 5, 4, 2, 5, 4, 4, 5, 5, 3], "2315": [4, 5, 4, 5, 3, 3, 2, 3, 3, 5, 5, 3, 1, 5, 4, 3, 3, 4, 3, 2, 3, 2, 1, 5, 2, 1, 1, 1, 1, 3, 3, 1, 4, 3, 1, 1, 5, 2, 2, 3, 3], "1195": [4, 4, 5, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 5, 2, 3, 5, 3, 5, 5, 1, 4, 4, 3, 4, 3, 2, 4, 5, 3], "709": [2, 4, 2, 5, 3, 5, 2, 5, 3, 3, 3, 1, 4, 3, 5, 4, 4, 5, 3, 5, 3, 1, 4, 2, 2, 5, 1, 1, 3, 1, 1, 3, 5, 3, 1, 4, 4, 4, 2, 5, 3, 5, 1, 5, 1, 3, 5, 5, 1, 1, 4, 2, 3, 1, 2, 1, 4, 2, 2, 3, 2, 2, 1, 1, 3, 2, 3, 5, 4, 3, 2, 5], "1574": [2, 5, 3, 4, 3, 5, 2, 5, 5, 4, 3, 5, 1, 2, 3, 2, 5, 1, 3, 3, 5, 5, 1, 2, 4, 4, 5, 5, 5, 2, 4, 5, 3, 5, 2, 5, 5, 5, 5, 3, 4, 4, 1, 4], "5965": [2, 5, 5, 3, 5, 2, 2, 3, 5, 5, 3, 3], "5466": [4, 5, 5, 4, 5, 4, 2, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 5, 5, 3, 3, 5, 5, 2, 5, 5, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 3, 5, 5, 3, 4, 4, 3, 5, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 5, 3, 2, 2, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 2, 4, 4, 4, 4, 3, 5, 3, 4, 2, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 3, 3, 5, 4, 5, 4, 5, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 5, 2, 5, 2, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 3, 5, 5, 4, 2, 3, 3, 2, 3, 3, 5, 4, 4, 4, 3, 5, 4, 5, 3, 4, 5, 4, 4], "384": [2, 4, 5, 3, 2, 4, 2, 4, 4, 4, 3, 3, 4, 3, 3, 5, 5, 4, 4, 4, 2, 5], "5000": [4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 1, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 1, 5, 5, 5, 5, 2, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 1, 4, 5, 1, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 2, 5, 5, 4, 1, 4, 4, 1, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 1, 5, 4, 2, 4, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 5, 3, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 3, 4, 2, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3], "4533": [2, 5, 3, 5, 4, 5, 5, 4, 3, 3, 1, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 5, 5, 5, 4], "5556": [1, 3, 4, 4, 2, 3, 5, 3, 3, 3, 4, 5, 3, 5, 3, 4, 3, 4, 3, 2, 4, 3, 3, 2, 3, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 4, 2, 3, 2, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 2, 4, 3, 2, 2, 2, 3, 3, 1, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 5, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 2, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 2, 5, 4, 1, 4, 3, 2, 1, 3, 5, 3, 3, 5, 3, 3, 5, 3, 2, 4, 3, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 2, 1, 5, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 2, 3, 3, 4, 3, 2, 4, 3, 3, 4, 2, 2, 5, 5, 3, 3, 3, 3, 3, 3, 4, 3, 4, 5, 4, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 2, 1, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 1, 1, 5, 5, 3, 3, 3, 2, 4, 2, 3, 3, 4, 4, 4], "392": [3, 5, 5, 3, 4, 3, 1, 4, 2, 3, 4, 3, 4, 5, 5, 4, 4, 1, 5, 4, 4, 3, 2, 3, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 2, 5, 3, 4, 4, 2, 5, 4, 2, 4, 2, 3, 2, 4, 5, 4, 3, 4, 2, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 5, 1, 4, 4, 4, 1, 4, 2, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 1, 2, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 1, 4, 2, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 2, 4, 2, 2, 3, 3, 5, 3, 1, 3, 4, 3, 4, 5, 3, 5, 4, 1, 3, 5, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 3, 2, 4, 5, 2, 3, 4, 2, 2, 5, 4, 5, 3, 3, 2, 5, 4, 2, 4, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 5, 4, 2, 5, 4, 2, 2, 4, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 2, 5, 2, 4, 4, 2, 4, 3, 3, 3, 2, 4, 4, 2, 3, 1, 4, 4, 5, 5, 1, 3, 4, 3, 1, 4, 4, 4, 4, 2, 4, 2, 3, 2, 5, 4, 2, 3, 4, 4, 4, 3, 3, 4, 2, 3, 5, 3, 4, 4, 4, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 2, 3, 4, 2, 1, 3, 2, 3, 4, 3, 3, 3, 3, 5, 3, 3, 1, 3, 3, 2, 2, 4, 3, 1, 2, 3, 4, 4, 4, 2, 3, 3, 5, 2, 5, 3, 4, 3, 4, 3, 3, 2, 3, 4, 5, 3, 3, 4, 3, 1, 2, 5, 2, 5, 4, 5, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 2, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 2, 3, 5, 3, 4, 4, 2, 4, 3, 4, 4, 5, 4, 5, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 3, 2, 4, 4, 4, 5], "354": [3, 4, 2, 4, 5, 5, 5, 4, 5, 4, 3, 3, 4, 3, 4, 5, 5, 1], "5024": [5, 3, 3, 4, 4, 5, 3, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 2, 4, 5, 2, 4, 4, 4, 5, 4, 3, 4, 5, 5, 2, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 3, 3, 3], "4203": [5, 5, 4, 4, 5, 3, 5, 4, 2, 4, 3, 5, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 2, 2, 5, 5, 4, 3, 4, 3, 4, 5, 1, 3, 5, 5, 4, 5, 5, 4, 2, 3, 5, 5, 4, 5, 4, 3, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 5, 3, 4, 4, 2, 5, 3, 5, 5, 4, 5, 2, 1, 3, 3, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 4, 5, 4, 2, 5, 4], "3278": [5, 3, 5, 3, 5, 3, 5, 4, 4, 3, 5, 4, 4, 5, 4, 2, 3, 4, 2, 5, 2, 3, 3, 5, 4, 5, 5, 5, 5, 2, 3, 5, 5, 5, 3, 1, 4, 4, 3, 3, 5, 4], "5175": [3, 4, 5, 5, 5, 4, 3, 5, 3], "5322": [4, 2, 3, 5, 2, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 5, 3, 5, 5, 5, 3, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 1, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4], "2795": [4, 3, 4, 4, 2, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 2, 3, 3, 4, 3, 5, 4, 3, 3, 4, 5, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 5, 3, 5, 5, 3, 3, 3, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 3, 5, 2, 4, 5], "1276": [5, 3, 4, 4, 4, 5, 5, 2, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 2, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 3, 2, 5, 5, 5, 4], "921": [4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 2, 4, 5, 4, 4, 3, 5, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 2, 2, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 2, 4, 5, 4, 2, 4, 3, 3, 4, 5, 4, 3, 2, 2, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 3, 3, 4, 2, 4, 3, 3, 4, 4, 5, 3, 3, 4, 3, 3, 3, 5, 4, 3, 5, 3, 4, 4, 5, 1, 2, 3, 4, 5, 2, 1, 4, 5, 3, 5, 4, 3, 3], "850": [4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 5, 5, 3, 3, 4, 4, 4, 5, 3, 4, 4, 2, 1, 4, 3, 4, 3, 2, 4, 4, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 1, 5, 4, 2, 4, 2, 5, 3, 4, 5, 4, 5, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 5, 5, 3, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 2, 3, 3, 3, 4, 2, 4, 3, 2, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 5, 3, 1, 3, 2, 5, 4, 5, 4, 1, 4, 5, 1, 3, 3, 5, 5, 3, 3, 3, 4, 4, 4, 3, 2, 5, 4, 4, 4, 3, 5, 2, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 1, 3, 2, 4, 2, 3, 4, 3, 4, 3, 2, 4, 5, 2, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 2, 4, 3, 5, 3, 2, 4, 1, 3, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 5, 1, 3, 4, 5, 5, 4, 3, 1, 4, 4, 3, 1, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 2, 5, 5, 2, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 3, 1, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 5, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 4, 2, 1, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 1, 2, 4, 4, 5, 2, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 4, 5, 3, 4, 2, 3, 3, 4, 5, 3, 2, 5, 1, 1, 1, 3, 4, 1, 4, 3, 3, 5, 3, 3, 3, 3, 5, 5, 2, 5, 2, 3, 5, 4, 5, 5, 3, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4], "4453": [4, 3, 3, 3, 2, 3, 3, 4, 4, 2, 3, 3, 2, 3, 3, 2, 2, 3, 1, 3, 3, 2, 3, 4, 2, 2, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3], "4469": [3, 3, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 2, 5, 3, 5, 5, 5, 5, 4, 3, 3, 5, 2, 4, 5, 3, 3, 5, 2], "3077": [4, 4, 4, 5, 5, 5, 3, 3, 3, 5, 4, 4, 5, 3, 3, 5, 4, 4, 5, 5, 3, 4, 2, 3, 3, 3, 3, 4, 1, 1, 5, 5, 4, 4, 4, 4, 4, 2, 5, 5, 2, 3, 3, 3, 3, 2, 4, 4, 5, 3, 4, 5, 3, 5, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4], "6024": [5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4], "4315": [5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 1, 5, 5, 3, 5, 2, 3, 5, 4, 5, 5, 3, 3, 3, 1, 3, 1, 5, 4, 1, 1, 4, 5, 5, 5, 5, 2, 5, 5, 1, 5, 4, 5, 4, 1, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 1, 5, 5, 4, 5, 3, 1, 2, 4, 5, 5, 3, 4, 4, 5, 1, 5, 4, 1, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 3, 1, 1, 4, 3, 4, 4, 3, 4, 2, 1, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 2, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 1, 5, 3, 2, 5, 5], "2888": [4, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 3, 4, 2, 3, 4, 4, 5, 4, 4, 2, 4, 4, 1, 1, 2, 4, 5, 5, 3, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 1, 5, 3, 4, 4, 3, 4, 3, 4, 2, 4, 2, 2, 4, 3, 3, 4, 3, 3, 4, 1, 2, 4, 3, 3, 4, 3, 4, 1, 3, 3, 4, 3, 3, 3, 3, 1, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 2, 4, 2, 4, 5, 3, 5, 2, 3, 5, 3, 2, 4, 4, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 2, 4, 1, 4, 4, 2, 4, 5, 5, 4, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 2, 2, 4, 5, 5, 1, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 2, 4, 5, 4, 3, 1, 5, 3, 3, 2, 4, 4, 4, 4, 3, 2, 3, 3, 1, 1, 4, 5, 3, 4, 5, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 1, 3, 2, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 2, 4, 5, 5, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 3, 3], "914": [5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 1, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 1, 5, 5, 4, 5, 5, 5, 4, 5], "1096": [2, 1, 4, 1, 3, 3, 4, 3, 3, 2, 2, 1, 3, 4, 4, 2, 2, 2, 3, 3, 1, 1, 2, 2, 2, 4, 3, 3, 1, 3, 2, 3, 4, 5, 3, 5, 2, 1, 1, 1, 1, 2, 3, 4, 4, 3, 3, 2, 3, 4, 1, 5, 2, 1, 3, 1, 3, 2, 1, 4, 2, 2, 2, 2, 2, 2, 3, 1, 3, 4, 2, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 1, 4, 1, 1, 5, 1, 5, 4, 1, 2, 4, 3, 2, 2, 5, 1, 3, 1, 1, 1, 4, 4, 2, 3, 2, 1, 3, 1, 1, 3, 2, 3, 3, 4, 2, 2, 1, 1, 3, 1, 2, 1, 3, 2, 4, 4, 1, 1, 2, 3, 2, 3, 4, 1, 2, 2, 3, 1, 3, 3, 2, 2, 1, 1, 3, 4, 4, 2, 3, 4, 3, 1, 4, 1, 3, 2, 2, 4, 1, 3, 1, 3, 4, 2, 3, 3, 4, 3, 2, 1, 2, 5, 3, 1, 3], "3720": [4, 5, 2, 3, 3, 4, 4, 3, 5, 5, 4, 4, 1, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 1, 4, 4, 4, 2, 4, 1, 4, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 2, 4, 5, 5, 4, 3, 4, 2, 2, 4, 5, 4, 3, 3, 3, 3, 1, 4, 3, 2, 2, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 3, 1, 4, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 4, 2, 1, 4, 4, 3, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 2, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 1, 5], "5489": [5, 4, 4, 5, 5, 1, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 5, 3, 5, 4, 2, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4], "4615": [3, 4, 4, 5, 2, 4, 1, 3, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 4, 5, 3, 4, 2, 4, 5, 3, 5, 3, 5, 5, 3, 3, 4, 2, 3, 3, 5, 4, 3, 4, 5, 5, 5, 3, 3, 5, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 1, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 5, 4, 5, 5, 4, 3, 4, 2, 4, 3, 5, 5, 4, 1, 3, 3, 5, 5, 4, 4, 4, 3, 2, 3, 3, 5, 2, 3], "1739": [5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 3, 3, 3, 4, 5, 4, 5, 5, 3, 2, 3, 4, 4, 5, 4, 5, 4, 4], "3266": [4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5], "701": [3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 4, 1, 3, 5, 4, 3, 2, 4, 4, 4, 3, 5, 3, 4, 3, 5, 3, 5, 5, 4, 3, 3, 4, 5, 3, 3, 3, 2, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4], "4024": [5, 5, 4, 5, 1, 4, 5, 3, 5, 3, 5, 5, 3, 5, 2, 5, 3, 5, 3, 5, 3, 3, 3, 4, 3, 4, 4, 5, 3, 2, 5, 5, 4, 3, 2, 2, 2, 5, 5, 2, 2, 4, 3, 3, 3, 2, 3, 3, 1, 2, 1, 3, 2, 3, 3, 3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 1, 5, 3, 1, 1, 2, 3, 1, 3, 3, 2, 1, 1, 4, 5, 2, 5, 2, 2, 2, 4, 3, 4, 2, 2, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 1, 3, 2, 2, 2, 5, 1, 4, 3, 4, 4, 4, 4, 3, 2, 5, 5, 4, 5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 5, 1, 2, 2, 3, 3, 3, 2, 4, 5, 2, 1, 3, 3, 4, 3, 4, 2, 1, 3, 4, 4, 5, 2, 4, 3, 1, 3, 5, 4, 4, 4, 3, 5, 5, 2, 3, 5, 4, 4, 3], "2774": [4, 3, 4, 4, 2, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 3, 3, 5, 2, 2, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 2, 4, 5, 4, 5, 3, 5, 3, 3, 4, 4, 1, 2, 3, 4, 3, 5, 2, 1, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 2, 4, 4, 3, 5, 5, 4, 3, 5, 5, 3, 4, 4, 1, 4, 5, 5, 5, 3, 3, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 4, 2, 5, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 2, 4, 4, 3, 5, 3, 4, 5, 4, 3, 5, 5, 3, 1, 2, 5, 1, 5, 4, 4, 4, 2, 4, 5, 4, 3, 5, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 2, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 2, 3, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4], "5621": [5, 2, 1, 1, 2, 2, 2, 4, 2, 2, 1, 3, 2, 5, 4, 1, 3, 2, 2, 4, 4, 2, 5, 3, 2, 4, 4, 5, 4, 3, 4, 1, 2, 4, 1, 2, 4, 4, 1, 1, 1, 4, 1, 3, 1, 1, 3, 1, 4, 4, 5, 4, 3, 4, 1, 1, 4, 1, 2, 3, 3, 3, 4, 2, 2, 1, 1, 4, 3, 5, 4, 5, 1, 4, 1, 5, 4, 4, 1, 4, 2, 1, 5, 5, 4, 5, 1, 5, 4, 5, 4, 2, 1, 4, 5, 2, 4, 3, 2, 3, 3, 3, 4, 4, 4, 5, 3, 5, 5, 2, 4, 4, 5, 2, 2, 3, 4, 5, 5, 3, 4, 4, 3, 3, 5, 1, 4, 3, 2, 4, 1, 4, 4, 4, 3, 5, 4, 2, 3, 3, 2, 4, 4, 1, 1, 1, 3, 2, 5, 5, 5, 1, 4, 1, 5, 4, 1, 4, 2, 5, 3, 3, 4, 1, 1, 1, 4, 3, 2, 2, 3, 4, 1, 4, 1, 3, 3, 4, 1, 5, 3, 4, 5, 5, 3, 1, 5, 1, 3, 5, 5, 1, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 1, 4, 4, 3, 2, 5, 2, 4, 1, 5, 1, 3, 5, 5, 2, 5, 4, 2, 3, 1, 5, 4, 5, 3, 3, 4, 3, 3, 5, 4, 3, 3, 5, 2, 2, 1, 1, 2, 3, 4, 3, 4, 5, 2, 1, 4, 3, 4, 3, 3, 3, 1, 2, 4, 3, 4, 4, 3, 3, 2, 1, 3, 1, 1, 3, 3, 3, 5, 1, 4, 3, 3, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 5, 4, 5, 4, 3, 3, 3, 4, 4, 3, 1, 3, 3, 3, 1, 1, 2, 1, 1, 4, 2, 5, 5, 4, 4, 3, 5, 3, 2, 3, 2, 1, 1, 1, 1, 5, 3, 3, 1, 2, 3, 3, 2, 3, 1, 5, 4, 4, 2, 1, 1, 2, 2, 2, 5, 2, 1, 2, 3, 3, 3, 2, 3, 4, 4, 1, 5, 1, 3, 2, 5, 5, 3, 1, 5, 4, 3, 2, 5, 3, 2, 3, 3, 2, 1, 1, 3, 2, 3, 3, 2, 1, 5, 5, 4, 4, 4, 3, 4, 3, 5, 3, 1, 5, 2, 4, 4, 3, 3, 4], "2886": [5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 2, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 4, 5, 3, 5, 5], "4367": [5, 4, 4, 2, 5, 4, 4, 5, 4, 3, 3, 3, 3, 5, 2, 3, 2, 5, 4, 2, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 2, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 3, 2, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 2, 4, 3, 3, 2, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 3, 2, 1, 3, 4, 5, 3, 5, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4], "3491": [3, 4, 5, 3, 4, 4, 5, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 3, 1, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 1, 4, 3, 4, 5, 4, 3, 5, 1, 4, 4, 3, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 2, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 5, 5, 2, 3, 4, 3, 5, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 1, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 4, 4, 2, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 3, 3, 5, 4, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 3, 3, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 3, 4, 3, 3, 5, 4, 3, 3, 2, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 1, 4, 3, 3, 3, 3, 4, 4, 3, 1, 4, 3, 5, 5, 5, 2, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 1, 4, 4, 3, 4, 4, 3, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 3, 4, 3, 1, 2, 2, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 3, 5, 5, 5, 1, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 4], "5588": [3, 1, 4, 4, 5, 2, 5, 5, 5, 3, 2, 5, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 2, 5, 5, 4, 3, 4, 3], "1170": [4, 3, 5, 5, 3, 3, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 2, 3, 5, 5, 4, 5, 3, 4, 2, 5, 4, 3, 2, 3, 5, 5, 4, 3, 5, 4, 4, 4, 2, 4, 4, 5, 2, 5, 4, 4, 5, 4, 5, 3, 3, 5, 5, 3, 4, 2, 3, 4, 5, 5, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 5, 2, 3, 2, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 5, 3, 5, 3, 2, 5, 4, 5, 3, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 4, 3, 5, 4, 3, 3, 5, 5], "897": [4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 2, 4, 4, 3, 5, 4, 5, 4, 2, 5, 3, 3, 4, 1, 3, 2, 4, 4, 4, 5, 2, 4, 4, 2, 4, 4, 2, 4, 2, 3, 5, 2, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 5, 4, 3, 4, 3, 2, 5, 4, 3, 4, 1, 4, 2, 5, 4, 3, 5, 1, 4, 5, 2, 4, 2, 4, 4, 4, 1, 4, 4, 2, 2, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 2, 5, 2, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4], "4965": [4, 4, 4, 4, 1, 3, 3, 3, 2, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 4, 3, 2, 1, 4, 3, 2, 3, 3, 3, 4, 4, 1, 2, 4, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 2, 5, 3, 3, 4, 3, 3, 4, 1, 3, 3, 3, 4, 3, 2, 5, 3, 4, 2, 4, 3, 2, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 2, 2, 1, 3, 4, 3, 1, 2, 4], "4790": [3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 5, 3, 5, 4, 3, 3, 3, 3, 2, 4, 5, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 2, 2, 4, 4, 1, 3, 4, 3, 2, 2, 2, 2, 4, 4, 4, 5, 3, 2, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 4, 1, 4, 4, 1, 3, 1, 1, 3, 3, 4, 3, 4, 4, 3, 5, 5, 4, 2, 3, 3, 4, 2, 3, 3, 2, 3, 5, 2, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 2, 3, 3, 5, 5, 4, 4, 3, 4, 1, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 4, 3, 2, 1, 3, 3, 3, 4, 3, 3, 4, 5, 2, 3, 4, 3, 3, 3, 5, 3, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 4, 2, 4, 3, 2, 4, 2, 3, 5, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 2, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 4, 1, 4, 3, 4, 3, 3, 3, 2, 3, 2, 5, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 3, 3, 5, 2, 4], "971": [3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 2, 4, 4, 3, 5, 4, 3, 3, 3, 2, 4, 3, 3, 5, 3, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 2, 2, 2, 2, 3, 2, 1, 2, 4, 3, 5, 3, 3, 4, 3, 2, 3, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 4, 3, 3, 5, 5, 3, 4, 3, 3, 4, 3, 4, 4, 1, 4, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 2, 1, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 4, 3, 5, 3, 2, 5, 3, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 2, 3, 2, 2, 4, 3, 2, 2, 2, 4, 3, 3, 1, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 2, 5, 3, 5, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4], "1383": [4, 2, 4, 3, 2, 2, 2, 2, 3, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 3, 2, 4, 4, 2, 4, 2, 5, 2, 5, 3, 4, 3, 4, 1, 3, 1, 5, 4, 3, 4, 3, 3, 3, 2, 4, 4, 1, 4, 4, 2, 3, 4, 4, 5, 5, 3, 3, 4, 3, 3, 2, 2, 4, 5, 4, 4, 2, 3, 2, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 1, 5, 5, 2, 1, 4, 3, 4, 3, 5, 5, 2, 4, 3, 4, 4, 5, 3, 4, 3, 5, 3, 5, 3, 5, 5, 3, 2, 4, 5, 3, 2, 5, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 2, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 5, 3, 4, 4, 1, 5, 4, 4, 1, 4, 3, 5, 3, 3, 2, 5, 4, 5, 4, 4, 4, 1, 4, 4, 4, 2, 4, 3, 5, 5, 4, 4, 4, 4, 2, 5, 3, 4, 4, 4, 3, 2, 4, 1, 3, 4, 3, 4, 4, 3, 4, 3, 2, 2, 1, 4, 4, 4, 3, 5, 3, 2, 4, 3, 5, 2, 3, 2, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 2, 4, 4, 3, 3, 2, 5, 2, 2, 2, 4, 5, 3, 3, 2, 4, 2, 4, 4, 4, 5, 4, 3, 3, 3, 4, 1, 4, 3, 3, 4, 3, 3, 5, 3, 2, 5, 3, 5, 3, 3, 2, 2, 2, 3, 3, 4, 4, 3, 1, 2, 3, 2, 3, 4, 3, 2, 3, 5, 3, 5, 4, 1, 3, 3, 3, 4, 4, 4, 2, 3, 3, 2, 4, 4, 5, 2, 4, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 4, 3, 3, 1, 5, 4, 4, 4, 4, 4, 4, 4, 1, 5, 3, 4, 3, 1, 3, 4, 4, 5, 3, 4, 4, 3, 5, 4, 2, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 2, 5, 5, 4, 5, 3, 3, 2, 3, 3, 3, 3, 2, 2, 4, 5, 3, 4, 2, 5, 3, 5, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 3, 3, 3, 2, 4, 3, 2, 4, 2, 2, 5, 2, 4, 4, 1, 4, 5, 5, 4, 3, 4, 2, 2, 3, 4, 5, 3, 4, 3, 4, 5, 3, 4, 4, 2, 3, 5, 2, 3, 3, 4, 5, 2, 1, 2, 2, 2, 2, 4, 3, 3, 5, 3, 1, 4, 3, 4, 4, 3, 1, 5, 2, 4, 2, 5, 3, 3, 4, 3, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 3, 2, 3, 1, 3, 4, 5, 3, 3, 1, 2, 4, 4, 3, 2, 4, 1, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 4, 2, 4, 5, 4, 4, 1, 4, 3, 3, 2, 5, 2, 2, 4, 4, 4, 3, 5, 3, 4, 2, 5, 4, 5, 4, 4, 3, 4, 3, 1, 3, 4, 3, 2, 3, 1, 2, 3, 2, 2, 2, 4, 4, 5, 4, 2, 1, 2, 4, 2, 2, 2, 5, 4, 4, 3, 4, 1, 4, 4, 3, 4, 3, 5, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 5, 4, 2, 4, 4, 5, 4, 3, 4, 4, 1, 4, 1, 3, 2, 4, 3, 5, 3, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 3, 5, 4, 5, 3, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 5, 1, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 3, 5, 1, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 3, 3, 3, 4, 4, 4, 3, 5, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5], "4336": [2, 4, 3, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 3, 3, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 3, 5, 4, 3, 5, 5, 2, 4, 4, 5, 5, 4, 1, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 2, 3, 5, 5, 1, 3, 1, 5, 1, 5, 4, 5, 5, 5, 5, 4, 4, 2, 2, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 3, 5], "2754": [3, 5, 5, 4, 5, 4, 5, 4, 5, 4, 2, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 2, 5, 5, 2, 4, 3, 3, 4, 4, 2, 5, 2, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 5, 4, 2, 2, 5, 2, 3, 4, 4, 3, 4, 5, 5, 3, 2, 4, 4, 2, 3, 3, 4, 5, 4, 3, 4, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 5, 5, 5, 2, 5, 5], "1339": [5, 1, 5, 1, 4, 2, 5, 4, 1, 4, 4, 5, 3, 3, 2, 4, 2, 4, 1, 5, 5, 4, 1, 1, 4, 4, 4, 1, 4, 1, 2, 5, 4, 1, 4, 2, 5, 1, 5, 4, 2, 4, 1, 5, 3, 2, 3, 5, 2, 2, 4, 4, 3, 2, 1, 2, 1, 1, 4, 1, 4, 4, 3, 1, 3, 3, 5, 4, 1, 4, 4, 1, 5, 4, 2, 1, 1, 4, 1, 2, 3, 2, 2, 1, 2, 4, 3, 2, 3, 4, 2, 4, 3, 5, 4, 5, 1, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 1, 5, 1, 4, 1, 2, 3, 1, 3, 5, 4, 2, 2, 1, 1, 5, 3, 5, 4, 4, 1, 1, 1, 1, 4, 3, 5, 2, 2, 4, 5, 1, 4, 3, 4, 5, 4, 3, 5, 1, 1, 4, 4, 4, 3, 4, 2, 1, 1, 4, 1, 4, 4, 1, 5, 3, 1, 5, 1, 4, 1, 5, 4, 1, 3, 1, 4, 1, 4], "2717": [3, 4, 4, 5, 3, 2, 2, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4], "3418": [5, 5, 3, 4, 5, 3, 5, 3, 3, 4, 4, 5, 2, 3, 5, 3, 5, 5, 5, 4, 2, 5, 5, 3, 4, 3, 5, 3, 5, 3, 5, 4, 3, 5, 5, 4, 4, 3, 5, 2, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 2, 1, 3, 4, 1, 4, 3, 3, 1, 1, 1, 1, 3, 5, 1, 5, 5, 5, 5, 4, 5, 1, 4, 2, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 3, 3, 5, 3, 4, 5, 3, 5, 2, 5, 3, 2, 4, 4, 4, 2, 4, 4, 5, 3, 4, 1, 4, 4, 3, 2, 5, 4, 5, 3, 3, 4, 5, 5, 1, 5, 4, 2, 3, 4, 2, 2, 3, 4, 5, 5, 5, 3, 3, 2, 3, 4, 5, 3, 5, 3, 5, 4, 3, 4, 5, 2, 5, 4, 5, 5, 5, 4, 3, 2, 5], "1579": [4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 4, 5, 4, 5, 4, 3, 5, 2, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 5, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 5, 3, 2, 4, 4, 5, 4, 4, 2, 3, 1, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 4, 2, 3, 3, 4, 4, 3, 4, 3, 2, 4, 3, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 2, 1, 4, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 1, 4, 1, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 2, 3, 4, 4, 3, 4, 2, 3, 3, 3, 4, 2, 4, 4, 4, 4, 2, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 2, 1, 4, 3, 4, 5, 2, 1, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 2, 3, 1, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 2, 3, 4, 4, 4, 1, 1, 2, 3, 4, 3, 2, 3, 5, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 5, 4, 1, 5, 3, 4, 4, 4, 4, 2, 2, 4, 4, 5, 3, 4, 3, 3, 4, 5, 3, 5, 2, 3, 2, 3, 4, 2, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 2, 4, 4, 5, 3, 4, 4, 4, 4, 4, 2, 4, 3, 2, 2, 2, 3, 5, 2, 3, 3, 2, 3, 3, 4, 3, 5, 2, 2, 5, 4, 4, 2, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 2, 1, 4, 3, 3, 2, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 5, 3, 2, 4, 3, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 2, 3, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 2, 4, 5, 5, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 5, 4, 5, 4, 4, 3, 4, 4, 3, 2, 2, 4, 5, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 5, 4, 5, 5, 2, 4, 2, 2, 3, 3, 4, 3, 4, 4, 3, 2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 2, 5, 5, 1, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 3, 5, 3, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5], "291": [4, 4, 5, 4, 5, 1, 3, 3, 5, 4, 5, 5, 3, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 1, 5, 5, 4, 4, 4, 4, 5, 5, 4], "2871": [5, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 5, 3, 5, 3, 4, 3], "2115": [4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 2, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 2, 4, 4, 4, 2, 3, 5, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 5, 4], "1804": [3, 5, 1, 5, 5, 3, 4, 2, 3, 5, 4, 4, 4, 4, 2, 5, 3, 5, 5, 3, 1, 2, 5, 5, 5, 5, 2, 1, 3, 4, 4, 5, 4, 5, 5, 5, 2, 4, 2, 5, 5, 5, 5, 3, 1, 2, 5, 1, 5, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 5, 5, 4, 5, 3, 5, 5, 2, 3, 5], "1288": [3, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 5, 4, 3, 2, 4, 3, 3, 1, 4, 4, 4, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 2, 5, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5], "2443": [4, 5, 5, 3, 4, 3, 3, 3, 2, 3, 4, 4, 2, 1, 3, 4, 3, 3, 4, 2], "5693": [3, 4, 5, 5, 5, 3, 5, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 2, 3, 5, 2, 4, 4, 3, 5, 3, 3, 5, 2, 5, 4, 5, 5, 4, 4, 1, 3, 3, 3, 4], "4276": [4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 2, 4, 4, 3, 4, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 2, 2, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4], "3328": [4, 3, 5, 4, 1, 3, 3, 1, 3, 3, 4, 5, 3, 2, 5, 4, 4, 5, 1, 4, 2, 5, 4, 1, 5, 3, 4, 4, 4, 4, 1, 4, 4, 5, 5, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 3, 3, 5, 4, 1, 2, 3, 4, 3, 4, 1, 5, 1, 4, 2, 5, 1, 5, 5, 4, 4, 2, 5, 2, 4, 3, 4, 5, 4, 4, 2, 5, 4, 5, 4, 5, 2, 4, 1, 2, 3, 4, 2, 4, 5, 1, 4, 2, 5, 2, 3, 5, 2, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 2, 1, 5, 2, 3, 4, 4, 3, 2, 1, 4, 3, 3, 5, 5, 4, 3, 5, 4, 2, 3, 5, 5, 5, 2, 5, 5, 3, 5, 4, 5, 4, 4, 4, 2, 3, 5, 4, 3, 2, 2, 3, 4, 3, 4, 5, 4, 5, 2, 4, 3, 4, 2, 4, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 2, 3, 2, 3, 5, 1, 3, 5, 5, 3, 1, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 1, 3, 1, 4, 1, 4, 4, 5, 3, 4, 5, 3], "1727": [4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 4, 3, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 2, 4, 4, 5, 3, 2, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 2, 5, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 2, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 3], "3294": [5, 5, 2, 4, 5, 5, 2, 5, 2, 5, 5, 5, 5, 4, 5, 2, 5, 1, 3, 4, 2, 5, 3, 4, 3, 3, 5, 1, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 2], "3608": [4, 5, 3, 3, 4, 4, 5, 3, 3, 3, 5, 3, 5, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 2, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 5, 3, 5, 3, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3], "5479": [4, 5, 1, 4, 3, 4, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 5, 2, 5, 4, 2, 2, 4, 5, 3, 3, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 2, 3, 3, 2, 3, 2, 5, 4, 2, 3, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 2, 4, 3, 2, 3, 2, 4, 5, 4, 3], "1046": [3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 5, 3, 3, 4], "5134": [1, 5, 4, 5, 5, 3, 5, 5, 1, 4, 2, 3, 5, 5, 2, 3, 4, 5, 5, 5, 3, 2, 4, 5, 3, 5, 5, 3, 4, 4, 2, 5, 1, 4, 3, 5, 5, 5, 5, 3, 1, 4, 3, 3, 5, 4, 5, 4, 4, 2, 5, 3, 3, 5, 3, 3, 5, 3, 5, 4, 5, 5, 2, 5, 2, 3, 3, 4, 3, 3, 4, 1, 5, 2, 5, 2, 5], "5345": [5, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 4, 2, 5, 4, 4, 2, 2, 4, 4, 4, 4, 3, 5, 4, 2, 4, 5, 4, 3, 4, 4, 1, 5, 5, 2, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 2, 1, 4, 5, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 3, 4, 4, 5, 1, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 1, 1, 3, 4, 3, 1, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 1, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 2, 4, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 4, 1, 3, 1, 2, 3, 3, 3, 3, 3, 5, 5, 1, 4, 4, 4, 5, 1, 4, 4, 4, 3, 1, 3, 2, 4, 4, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 1, 5, 5, 5, 3, 4, 3, 4, 1, 3, 2, 4, 4, 3, 3, 4, 2, 1, 4, 2, 5, 3, 5, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 1, 5, 5, 5, 4, 1, 1, 5, 2, 4, 3, 4, 3, 4, 5, 1, 4, 2, 1, 4, 2, 5, 1, 4, 3, 2, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 1, 5, 4], "5632": [4, 2, 5, 3, 5, 3, 4, 3, 3, 2, 4, 4, 4, 4, 2, 5, 3, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 2, 5, 4, 4, 4, 4, 2, 4, 3, 4, 5, 3, 5], "2050": [4, 4, 5, 5, 3, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 4, 2, 5, 5, 5, 3, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 3, 5, 5, 5, 4, 3, 5, 3, 4, 4, 5, 2, 4, 3, 5, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 3, 3, 5, 4, 5, 3, 4, 2, 3, 5, 5, 4, 5, 5, 4, 2, 5, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 1, 5, 4, 4], "1654": [5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 1, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "5883": [5, 1, 5, 4, 4, 4, 3, 2, 2], "4564": [4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 3, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5], "4708": [3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 1, 4, 4, 5, 4, 3, 4, 2, 4, 3, 3, 2, 4, 3, 3, 1, 4, 5, 5, 5, 2, 3, 2, 3, 3, 4, 3, 2, 5, 3, 4, 3, 4, 5, 3, 4, 3, 4, 2, 3, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 4, 3, 5, 4, 3, 5, 4, 4, 3, 3, 4, 2, 4, 5, 4, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 2, 5, 5, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 2, 4, 2, 3, 5, 4, 3, 2, 4, 3, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 5, 3, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 5, 3, 4, 3, 2, 5, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 2, 5, 4, 5, 4, 3, 4, 2, 4, 3, 3, 4, 5, 4, 3, 2, 4, 1, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4], "5387": [4, 3, 5, 3, 3, 5, 5, 4, 3, 5, 3, 3, 3, 2, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 2, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 2, 5, 4, 4, 2, 4, 4, 4, 4, 5, 5, 2, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 1, 1, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 2, 4, 3, 4, 4, 5, 5, 5, 1, 3, 1, 5, 4, 4, 1, 5, 3, 3, 3, 4, 3, 3, 5, 4, 5, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 1, 4, 3, 3, 4, 4, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 5, 3, 5, 3, 5, 2, 1, 1, 4, 4, 5, 4, 4, 2, 3, 2, 2, 3, 2, 4, 5, 5, 5, 2, 5, 3, 3, 3, 4, 3, 4, 4, 4, 2, 2, 4, 3, 4, 2, 4, 3, 5, 3, 2, 3, 2, 2, 4, 4, 4, 4, 3, 4, 2, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 2, 3, 2, 5, 2, 3, 4, 2, 3, 3, 3, 3, 2, 5, 2, 2, 4, 4, 4, 5, 4, 4, 4, 2, 5, 3, 3, 2, 2, 2, 5, 3, 5, 4, 5, 5, 5, 2, 1, 4, 3, 2, 4, 1, 4, 4, 3, 4, 4, 4, 5, 4, 2, 1, 5, 5, 3, 4, 3, 5, 2, 4, 4, 4, 2, 4, 3, 5, 3, 4, 3, 4, 4, 4, 1, 4, 1, 3, 5, 5, 4, 1, 4, 3, 4, 2, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 2, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 2, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 5, 4, 3, 2, 2, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 2, 2, 5, 4, 4, 4, 4, 3, 4, 2, 3, 2, 4, 4, 4, 2, 3, 4, 4, 4, 1, 4, 4, 2, 3, 4, 4, 5, 4, 4, 3, 4, 5, 2, 4, 3, 4, 5, 2, 5, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 3, 2, 4, 3, 4, 4, 3, 4, 1, 3, 4, 5, 4, 2, 1, 1, 1, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 1, 3, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 2, 5, 2, 4, 1, 5, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 5, 5, 2, 3, 3, 4, 2, 4, 1, 1, 4, 4, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 1, 3, 5, 4, 4, 3, 2, 3, 4, 2, 3, 3, 3, 2, 3, 4, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 2, 3, 2, 4, 4, 3, 2, 3, 2, 5, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 3, 2, 4, 2, 4, 4, 2, 5, 4, 3, 4, 3, 3, 5, 4, 4, 3, 4, 2, 3, 5, 4], "5366": [4, 3, 5, 4, 4, 4, 2, 4, 3, 2, 1, 5, 3, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 3, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 4, 4, 2, 4, 5, 5, 4, 3, 5, 5, 4, 5, 3, 4, 5, 3, 3, 1, 5, 4, 2, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 4, 4, 3, 3, 5, 3, 3, 3, 5], "2836": [3, 4, 4, 3, 4, 2, 3], "433": [1, 5, 5, 4, 2, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 1, 2, 3, 5, 4, 2, 3, 5, 3, 5, 4, 2, 1, 4, 4, 5, 3, 4, 5, 4, 5, 3, 5], "3430": [4, 4, 4, 4, 3, 4, 4, 2, 3, 2, 4, 3, 4, 4, 5, 2, 4, 4, 3, 2, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 2, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 3, 2, 4, 2, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 5, 4, 2, 2, 3, 5, 3, 2, 2, 4, 3, 2, 2, 4, 4, 5, 4, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 2, 4, 2, 4, 4, 5, 3, 2, 3, 4, 3, 2, 4, 4, 5, 4, 4, 4, 5, 2, 3, 4, 5, 3, 3, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 2, 3, 4, 3, 1, 4, 2, 3, 3, 3, 4, 4, 2, 3, 2, 4, 4, 2, 3, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 1, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 2, 4, 1, 3, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 2, 2, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 2, 4, 3, 4, 2, 4], "3958": [5, 3, 5, 5, 5, 1, 3, 2, 5, 5, 3, 5, 3, 4, 2, 5, 5, 5, 3, 2, 5, 5, 1, 3, 3, 4, 4, 4, 4, 3, 5, 4, 1, 4, 4, 5, 3, 4, 2, 5, 3, 5, 3, 5, 1, 5, 5, 3, 3, 2, 2, 3, 4, 5, 5, 4, 4, 5, 5, 2, 2, 2, 4, 5, 5, 3, 4, 2, 3, 3, 5, 4, 2, 2, 5, 2, 5, 2, 4, 5, 1, 2, 5, 3, 5, 2, 1, 1, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 2, 4, 2, 2], "5866": [5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 2, 4, 2, 4, 3, 4, 2, 4], "1054": [4, 3, 2, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 1, 1, 5, 5, 4, 4, 3, 4, 4, 1, 3, 2, 3, 4, 5, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 1, 3, 4, 2, 5, 4, 4, 5, 1, 5, 5, 4, 4, 1, 3, 4, 2, 4, 5, 3, 5, 4, 5, 5, 4, 3, 2, 3, 4, 5, 2, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 1, 2, 4], "2494": [4, 1, 5, 4, 2, 2, 3, 3, 4, 3, 3, 3, 2, 1, 3, 2, 5, 2, 5, 3, 3, 3, 5, 3, 2], "4125": [4, 3, 1, 1, 1, 1, 4, 2, 4, 3, 1, 3, 4, 2, 5, 4, 1, 3, 2, 4, 3, 3, 4, 1, 5, 1, 1, 4, 4, 3, 1, 1, 3, 4, 5, 3], "3945": [4, 3, 3, 4, 3, 2, 3, 4, 3, 3, 5, 3, 3, 4, 4, 4, 2, 3, 3, 3, 5, 4, 5, 3, 5, 5, 4, 5, 5, 1, 3, 2, 5, 3, 1, 4, 3, 5, 3, 5, 5, 4, 4, 5, 2, 3, 3, 3, 5, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 2, 4, 3, 5, 2, 3, 5, 5, 2, 3, 3, 2, 2, 4, 3, 2, 5, 3, 3, 3, 3, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 2, 5, 4, 5, 5, 2, 2, 3, 2, 3, 1, 2, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 2, 5, 3, 3, 1, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 2, 2, 2, 3, 3, 4, 4, 4, 2, 2, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 5, 2, 3, 5, 3, 3, 4, 3, 4, 2, 5, 5, 3, 5, 3, 3, 5, 4, 3, 2, 5, 5, 4, 5, 5, 5, 3, 2, 2, 3, 4, 4, 4, 2, 4, 2, 3, 3, 2, 3, 5, 3, 3, 3, 5, 4, 3, 3, 4, 3, 2, 2, 3, 3, 1, 2, 3, 4, 3, 1, 5, 3, 3, 4, 5, 4, 2, 4, 4, 2, 4, 2, 2, 5, 2, 5, 5, 2, 4, 4, 3, 3, 5, 4, 3, 5, 3, 3, 3, 5, 4, 1, 3, 5, 5, 5, 2, 3, 3, 3, 2, 5, 3, 4, 5, 2, 2, 2, 3, 3, 3, 4, 4, 4, 1, 1, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 1, 2, 3, 3, 4, 3, 3, 5, 3, 4, 2, 3, 4, 2, 1, 4, 5, 5, 4, 2, 2, 1, 1, 2, 2, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 3, 3, 2, 4, 5, 3, 3, 5, 3, 3, 3, 5, 3, 5, 2, 5, 3, 3, 4, 5, 5, 3, 3, 5, 3, 3, 3, 4, 3, 3, 5, 3, 5, 5, 2, 5, 1, 3, 4, 3, 3, 3, 2, 4, 3, 3, 2, 4, 4, 5, 5, 4, 3, 3, 5, 3, 4, 1, 4, 5, 3, 4, 4, 3, 4, 5, 2, 5, 4, 4, 3, 3, 3, 4, 5, 3, 1, 4, 4, 4, 2, 3, 1, 3, 3, 3, 3, 1, 3, 5, 3, 3, 2, 4, 3, 1, 5, 5, 2, 4, 4, 3, 4, 3, 5, 2, 3, 5, 4, 3, 1, 4, 5, 2, 3, 5, 1, 4, 2, 3, 5, 2, 4, 1, 4, 4, 4, 3, 4, 4, 2, 5, 5, 1, 5, 4, 3, 3, 2, 5, 2, 4, 4, 3, 5, 3, 3, 5, 4, 3, 4, 3, 5], "4103": [5, 1, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 4, 3, 4, 3, 5, 1, 4, 4, 4, 1, 2, 2, 4, 3, 2, 4, 1, 4, 3, 3, 4, 3, 2, 1, 3, 1, 3, 3, 5, 5, 3, 3, 2, 4, 4, 2, 2, 5, 5, 2, 5, 5, 5, 4, 5, 2, 3, 2, 3, 5, 2, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 5, 1, 4, 5, 4, 4, 4, 5, 5, 4, 5, 2, 3, 5, 2, 3, 5, 2, 4, 1, 4, 4, 3, 1, 3, 3, 5, 3, 5, 1, 5, 5, 4, 5, 2, 5, 4, 5, 5, 4, 2, 4, 3, 5, 4, 1, 3, 4, 4, 5, 5, 5, 5], "4463": [4, 5, 4, 5, 4, 2, 5, 5, 2, 4, 3, 4, 4, 3, 5, 5, 3], "3599": [3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 5, 2, 2, 5, 4, 3, 3, 4, 5, 3, 3, 4, 5, 3, 4, 4, 1, 3, 4, 3, 3, 4, 5, 4, 2, 3, 4, 3, 4, 4, 5, 4, 3, 4, 2, 3, 5, 3, 3, 4, 2, 4, 1, 5, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 2, 4, 3, 4, 4, 2, 4, 4, 2, 5, 4, 3, 4, 2, 4, 3, 3, 4, 4, 5, 3, 4, 4, 3, 5, 2, 3, 4, 3, 3, 4, 3, 2, 2, 2], "1279": [2, 3, 2, 3, 2, 1, 2, 4, 2, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 5, 3, 3, 2, 2, 4, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 3, 3, 2, 4, 4, 2, 3, 3, 2, 3, 4, 4, 3, 2, 2, 4, 4, 3, 2, 4, 1, 2, 3, 3, 5, 3, 3, 2, 1, 3, 5, 3, 2, 2, 4, 3, 3, 4, 4, 2, 3, 2, 3, 2, 4, 3, 3, 1, 2, 2, 1, 3, 4, 5, 3, 3, 3, 2, 3, 4, 2, 2, 5, 4, 2, 2, 5, 2, 5, 2, 2, 4, 4, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 4, 4, 3, 1, 3, 1, 3, 3, 4, 3, 3, 3, 2, 4, 4, 2, 4, 2, 2, 1, 2, 3, 2, 4, 4, 3, 4, 2, 2, 2, 2, 2, 3, 4, 4, 5, 3, 4, 2, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 1, 4, 4, 2, 3, 2, 3, 2, 2, 2, 3, 3, 4, 1, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 2, 2, 2, 3, 2, 3, 2, 1, 2, 4, 4, 2, 4, 5, 2, 3, 1, 3, 2, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 4, 2, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3], "4179": [5, 3, 3, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4], "2569": [3, 3, 3, 4, 5, 3, 3, 3, 3, 5, 5, 3, 3, 2, 5, 5, 5, 4, 3, 3, 4, 4, 3, 2, 4, 5, 2, 4, 2, 3, 3, 1, 4, 3, 5, 3, 3, 4], "5337": [3, 5, 5, 5, 4, 5, 4, 3, 2, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 1, 5, 3, 5, 3, 4, 3, 5, 5, 5, 2, 3, 4, 5, 3, 4, 5, 5, 3, 4, 5, 3, 3, 4, 3, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 5, 1, 5, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 5, 4, 4, 5, 4], "4330": [3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4], "6028": [4, 4, 4, 3, 2, 3, 3, 2, 5, 5, 4, 3, 4, 1, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 3, 5, 2, 3, 4, 2, 3, 3, 4, 4, 4, 2, 5], "3263": [5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 5, 3, 3, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 3, 5, 5, 3, 4, 4, 3, 4, 2, 3, 2, 3, 5, 5, 4, 4, 5, 5, 4, 5, 2, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 4, 2, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 5], "2072": [5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 3, 5, 4, 5, 5, 3, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 3, 5, 4, 5, 5, 5, 5, 4, 2, 1, 5, 5, 4, 4, 3, 4, 4, 5, 2, 5, 3, 5, 4, 3, 3, 4, 3, 4, 2, 3, 5, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 5, 5, 2, 2, 3, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 4, 5, 5, 5, 3, 1, 2, 3, 5, 3, 2, 5, 4, 4, 5, 2, 4, 5, 3, 5, 5, 5, 4, 2, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 3, 5, 5, 2, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 3, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5], "3147": [4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 2, 2, 5, 5, 3, 1, 5, 3, 4, 4, 3, 1, 4, 5, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 3, 5, 3, 1, 4, 3, 4, 4, 5, 4, 4, 3, 2, 5, 3, 4, 3, 3, 3, 3, 2, 3, 3, 5, 4, 2, 5, 2, 3, 5, 4, 4, 3, 5, 2, 3, 1, 4, 3, 3, 3, 4, 5, 4, 2, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 2, 4, 4, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 3, 4, 3, 3, 2, 2], "755": [4, 4, 4, 4, 5, 2, 3, 4, 3, 4, 3, 4, 5, 3, 5, 5, 3, 2, 4, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4], "4013": [2, 2, 5, 3, 3, 5, 3, 3, 3, 3, 3, 2, 3, 3, 1, 4, 5, 3, 3, 1, 2, 2, 3, 3, 1, 3, 1, 2, 4, 2, 1, 1, 1, 4, 4, 1, 3, 4, 3, 3, 3, 4, 1, 1, 3, 3, 4, 3, 2, 4, 2, 3, 4, 2, 1, 1, 4, 4, 3, 1, 1, 3, 2, 5, 3, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 1, 4, 4, 2, 4, 3, 3, 2, 3, 5, 3, 4, 2, 1, 3, 3, 2, 2, 4, 5, 3, 3, 1, 3, 3, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 3, 4, 1, 3, 4, 3, 3, 3, 5, 4, 3, 2, 3, 4, 4, 3, 4, 1, 1, 4, 3, 3, 2, 3, 4, 4, 4, 1, 2, 2, 3, 2, 3, 4, 4, 4, 3, 3, 1, 3, 4, 1, 3, 3, 3, 4, 3, 3, 2, 5, 2, 3, 1, 3, 4, 3, 4, 2, 5, 2, 3, 3, 2, 2, 3, 3, 4, 3, 5, 4, 3, 3, 4, 1], "2097": [4, 2, 3, 2, 4, 3, 4, 3, 5, 3, 3, 1, 3, 5, 4, 2, 5, 4, 3, 3, 3, 4, 4, 3, 4, 3, 2, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 5, 4, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 2, 1, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 2, 4, 3, 3, 3, 2, 2, 4, 3, 4, 3, 3, 4, 3, 1, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 2, 4, 4, 3, 3, 3, 5, 2, 4, 1, 2, 3, 4, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 4, 3, 3, 5, 3, 2, 2, 4, 2, 3, 4, 3, 4, 3, 2, 2, 1, 2, 4, 4, 3, 4, 3, 3, 3], "3573": [2, 3, 2, 3, 3, 2, 5, 3, 2, 3, 5, 3, 5, 4, 5, 3, 4, 5, 4, 1, 4, 5, 4, 3, 3, 5, 3, 2, 3, 2], "5847": [3, 3, 5, 4, 2, 3, 3, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 3, 3, 3, 3, 5, 5, 2, 5, 5, 4, 4, 2, 3, 5, 5, 1, 4, 3, 2, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 4, 5, 3, 4, 1, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 3, 3, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 2, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 2, 5, 4, 3, 3, 4, 5, 4, 5, 3, 3, 3, 5, 3, 4, 5, 5, 3, 2, 3, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 2, 4, 5, 3, 3, 4, 5, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 3, 3, 5, 4, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 5, 4, 3, 5, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 5, 4, 3, 5, 4, 4, 3, 3, 5, 4, 3, 3, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 5, 5, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4], "1166": [4, 3, 4, 4, 5, 3, 2, 4, 5, 4, 2, 4, 3, 2, 4, 3, 2, 4, 4], "5871": [3, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 2, 4, 5, 3, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 2, 5, 2, 2, 5, 5, 5, 5, 4, 5, 4, 5], "2457": [3, 4, 4, 3, 3, 5, 4, 3, 4, 3, 5, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 2, 5, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 1, 3, 2, 5, 3, 4, 5, 3, 3, 1, 4, 5, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 2, 4, 5, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 2, 4, 4, 4, 5, 5, 3, 4, 1, 3, 5, 5, 3, 3, 5, 3, 2, 2, 2, 3, 4, 5, 2, 3, 4, 3, 2, 2, 2, 3, 4, 2, 3, 3, 3, 4, 1, 2, 5, 4, 4, 3, 4, 2, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 3, 4, 3, 2, 5, 2, 2, 3, 1, 4, 3, 4, 4, 5, 3, 2, 5, 5, 3, 2, 2, 4, 3, 3, 4, 3, 4, 4, 2, 3, 5, 3, 2, 1, 3, 3, 3, 1, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 2, 3, 5, 4, 5, 2, 2, 3, 5, 4, 3, 2, 3, 3, 3, 2, 1, 3, 3, 3, 3, 5, 3, 3, 4, 4, 2, 1, 3, 5, 3, 5, 5, 4, 3, 3, 3, 2, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 2, 5, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 3, 3, 2, 4, 3, 2, 5, 1, 3, 3, 2, 3, 4, 1, 3, 3, 3, 3, 5, 4, 2, 2, 4, 2, 5, 2, 3, 4, 4, 5, 3, 3, 3, 1, 2, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 5, 4, 4, 1, 2, 3, 3, 4, 2, 2, 4, 3, 3, 4, 3, 2, 3, 3, 5, 3, 3, 3, 2, 5, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 3, 4, 2, 3, 4, 3, 1, 3, 3, 4, 3, 5, 2, 3, 2, 2, 5, 4, 2, 4, 2, 2, 2, 2, 4, 3, 4, 3, 3, 3, 5, 4, 2, 2, 4, 4, 1, 3, 2, 2, 3, 3, 2, 3, 4, 4, 5, 2, 2, 5, 3, 4, 2, 4, 3, 3, 5, 4, 5, 3, 4, 4, 2, 2, 4, 4, 4, 4, 2, 4, 5, 5, 3, 5, 4, 3, 3, 2, 3, 1, 5, 5, 2, 3, 3, 4, 2, 3, 3, 2, 3, 2, 1, 1, 4, 3, 3, 3, 4, 3, 5, 4, 3, 3, 3, 2], "5915": [3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 1, 5, 4, 2, 2, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 3, 5, 5, 3, 3, 3, 5, 5, 3, 4, 5, 2, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 3, 3, 3, 5, 2, 4, 4, 4, 5, 4, 5, 4, 3, 2, 3, 5, 5, 5, 5, 4, 3, 4, 2, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 1, 3, 4, 5, 5, 5, 3, 3, 4, 2, 3, 4, 4, 4, 4, 1, 5, 3, 5, 5, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 1, 3, 2, 1, 2, 5, 3, 4, 5, 4, 5, 3, 3, 4, 5, 3, 3, 3, 2, 5, 1, 4, 4, 3, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 3, 3, 2, 5, 4, 4, 4, 5, 4, 4, 5, 5, 2, 4, 3, 3, 4, 3, 1, 4, 2, 4, 1, 4, 2, 5, 1, 5, 4, 2, 2, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 2, 5, 4, 2, 4, 4, 4, 4, 5, 4, 5, 3], "3973": [4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 2, 5, 1, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 2, 5, 5, 3, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 4, 4], "2310": [3, 4, 4, 5, 4, 4, 4, 2, 5, 4, 5, 3, 4, 4, 4, 2, 3, 5, 2, 3, 5, 5, 4, 3, 1, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 2, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 3, 5, 2, 5, 2, 4, 5, 2], "3399": [2, 3, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 2, 4, 5, 2, 3, 4, 5, 4, 4, 1, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 5, 3, 5, 1, 4, 1, 4, 2, 5, 5, 2, 5, 4, 3, 3, 4, 5, 3, 3, 2, 2, 4, 3, 2, 5, 4, 3, 4, 4, 4, 5, 2, 3, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 5, 5, 2, 5, 1, 4, 4, 4, 4, 2, 3, 2, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 2, 4], "1973": [4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 1, 3, 3, 4, 3, 4, 5, 4, 3, 5, 4, 3, 1, 5, 3, 5, 5, 4], "214": [4, 5, 5, 1, 5, 4, 2, 3, 3, 5, 3, 5, 5, 2, 4, 1, 4, 4, 2, 4, 5, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 1, 4, 2, 2, 4, 4, 3, 3, 4, 2, 4, 5, 3, 1, 5, 2, 2, 5, 2, 2, 4, 2, 2, 3, 2, 3, 4, 3, 3, 3, 4, 3, 2, 4, 4, 4, 4, 3, 2, 3, 2, 3, 5, 5, 4, 4, 4, 5, 3, 1, 2, 2, 2, 4], "4695": [2, 3, 1, 3, 2, 3, 4, 1, 3, 4, 3, 3, 3, 2, 3, 4, 2, 3, 4], "2210": [3, 3, 3, 3, 4, 3, 5, 3, 5, 5, 4, 3, 4, 5], "1936": [3, 3, 3, 4, 5, 2, 3, 4, 2, 3, 5, 5, 4, 4, 4, 3, 2, 4, 3, 5], "4344": [2, 2, 4, 1, 5, 5, 4, 5, 4, 1, 4, 5, 3, 4, 4, 3, 4, 5, 4, 2, 4, 4, 4, 2, 4, 4, 4, 2, 5, 3, 1, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 1, 3, 3, 4, 1, 3, 5, 5, 4, 2, 3, 2, 3, 5, 5, 4, 3, 5, 4, 3, 1, 5, 2, 5, 1, 5, 5, 4, 3, 4, 3, 1, 4, 4, 5, 3, 3, 4, 3, 3, 5, 1, 1, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 1, 1, 3, 4, 3, 2, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 3, 3, 4, 5, 5, 1, 3, 4, 5, 3, 4, 3, 1, 3, 4, 1, 3, 1, 5, 1, 4, 4, 3, 2, 4, 4, 2, 2, 2, 2, 4, 3, 3, 5, 5, 1, 4, 4, 2, 4, 1, 1, 5, 4, 1, 3, 1, 4, 5, 2, 1, 5, 2, 4, 1, 3, 2, 4, 3, 4, 2, 4, 3, 4, 3, 2, 1, 5, 5, 4, 5, 4, 1, 1, 5, 4, 5, 1, 2, 5, 3, 4, 1, 2, 4, 4, 3, 4, 4, 1, 4, 1, 1, 3, 5, 5, 4, 1, 2, 5, 1, 4, 3, 3, 4, 4, 3, 4, 3, 2, 2, 4, 1, 4, 4, 4, 4, 4, 5, 3, 5, 4, 2, 5, 4, 5, 5, 5, 4, 3, 5, 4, 1, 5, 3, 4, 1, 4, 3, 2, 4, 4, 4, 2, 1, 1, 3, 3, 4, 3, 5, 4, 4, 3, 3, 1, 2, 2, 4, 5, 1, 3, 4, 5, 4, 4, 4, 3, 3, 1, 3, 4, 2, 4, 4, 1, 4, 4, 4, 5, 2, 3, 3, 3, 5, 1, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 4, 2, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 1, 2, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 3, 2, 1, 3, 2, 5, 4, 3, 2, 4, 4, 4, 1, 5, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 4, 1, 4, 2, 5, 2, 1, 5, 4, 3, 3, 1, 4, 3, 5, 2, 4, 5, 4, 4, 2, 5, 4, 3, 3, 1, 3, 2, 4, 1, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 2, 1, 4, 4, 1, 3, 5, 3, 3, 3, 1, 4, 4, 1, 4, 4, 4, 1, 3, 3, 4, 1, 4, 1, 4, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 1, 1, 4, 1, 5, 3, 2, 3, 1, 1, 1, 4, 3, 3, 4, 2, 3, 4, 5, 2, 3, 3, 4, 1, 1, 3, 5, 1, 4, 2, 4, 3, 4, 5, 5, 1, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 1, 4, 5, 1, 3, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 2, 4, 5, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 1, 4, 2, 4, 5, 4, 2, 5, 4, 4, 3, 2, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 3, 3, 5, 5, 5, 4, 4, 3, 2, 4, 4, 1, 5, 4, 3, 4, 4, 3, 3, 2, 3, 3, 4, 1, 3, 4, 5, 5, 3, 1, 1, 4, 3, 1, 1, 3, 3, 3, 2, 4, 4, 4, 4, 4, 1, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 1, 3, 4, 5, 1, 1, 3, 4, 3, 2, 2, 3, 2, 3, 4, 1, 3, 3, 3, 4, 1, 5, 5, 2, 5, 4, 3, 2, 1, 3, 3, 2, 1, 4, 5, 3, 2, 1, 1, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 1, 2, 3, 1, 2, 5, 4, 4, 5, 2, 3, 3, 1, 3, 3, 5, 5, 4, 3, 1, 3, 4, 3, 4, 2, 3, 4, 3, 4, 4, 4, 4, 4, 1, 2, 1, 5, 4, 5, 3, 4, 2, 5, 1, 5, 4, 4, 4, 3, 5, 3, 4, 1, 3, 5, 4, 5, 4, 4, 3, 2, 2, 4, 4, 1, 1, 3, 3, 2, 3, 3, 3, 2, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 1, 4, 5, 3, 3, 4, 4, 5, 1, 2, 3, 3, 3, 5, 4, 2, 4, 3, 4, 5, 3, 2, 4, 5, 5, 3, 3, 5, 3, 3, 1, 3, 4, 4, 4, 2, 4, 4, 3, 5, 1, 5, 3, 1, 3, 5, 4, 3, 4, 1, 4, 3, 2, 4, 4, 3, 3, 1, 5, 4, 1, 3, 1, 4, 5, 2, 1, 5, 2, 4, 5, 3, 1, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 2, 4, 3, 1, 4, 4, 4, 5, 5, 3, 2, 3, 1, 1, 3, 5, 3, 4, 4, 3, 4, 1, 1, 2, 1, 3, 4, 3, 1, 1, 1, 5, 1, 5, 2, 5, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 3, 1, 4, 5, 2, 4, 1, 4, 5, 4, 5, 3, 1, 5, 5, 5, 2, 3, 4, 3, 3, 1, 1, 2, 4, 1, 1, 3, 3, 4, 3, 4, 5, 3, 4, 3, 2, 1, 4, 5, 4, 2, 3, 4, 4, 2, 3, 2, 1, 3, 3, 4, 4, 1, 4, 3, 3, 4, 2, 4, 4, 4, 5, 3, 2, 4, 1, 3, 3, 3, 2, 2, 3, 4, 1, 3, 1, 5, 1, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 1, 3, 3, 4, 3, 1, 5, 5, 4, 4, 3, 5, 1, 4, 4, 2, 1, 4, 4, 4, 1, 3, 1, 5, 4, 4, 4, 4, 5, 1, 4, 3, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 2, 3, 2, 3, 5, 5, 4, 5, 3, 5, 5, 5, 1, 4, 4, 1, 4, 4, 4, 4, 1, 5, 2, 4, 5, 4, 3, 4, 1, 4, 5, 4, 3, 1, 2, 2, 5, 1, 1, 4, 4, 5, 4, 4, 4, 4, 2, 2, 3, 4], "1882": [5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 5, 4, 2, 5, 2, 2, 4, 4, 5, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 3, 4, 5, 2, 4, 2, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 1, 3, 4, 5, 4, 3, 2, 3, 2, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 2, 4, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4], "5749": [4, 4, 1, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 3, 5, 5, 4, 4, 4, 3, 5, 3, 5, 4, 3, 3, 5, 4, 4, 3, 5, 4, 5, 3, 3, 2, 4, 3, 3, 4, 5, 4, 1, 4, 3, 3, 2, 4, 5, 2, 4, 4, 4, 1, 5, 5, 5, 3, 2, 3, 4, 3, 3, 5, 5, 5, 5, 2, 1, 4, 5, 4, 2, 3, 3, 2, 5, 5, 3, 3, 2, 4, 1, 3, 3, 2, 1, 5, 3, 5, 3, 5, 3, 3, 3, 5, 5, 3, 5, 4, 1, 4, 5, 5, 3, 1, 2, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 1, 3, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 5, 1, 4, 4, 5, 3, 4, 1, 2, 5, 5, 4, 3, 4, 1, 4, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 2, 5, 3, 5, 2, 1, 5, 3, 3, 4, 1, 1, 3, 3, 3, 3, 1, 2, 1, 5, 4, 3, 5, 3, 4, 1, 2, 3, 2, 5, 2, 2, 5, 3, 4, 5, 3, 5, 4, 3, 2, 4, 4, 5, 4, 2, 3, 3, 3, 3, 4, 4, 4, 1, 4, 4, 3, 4, 5, 3, 1, 3, 2, 1, 4, 4, 4, 4, 3, 5, 1, 2, 3, 1, 3, 5, 5, 4, 5, 5, 3, 2, 5, 3, 5, 1, 3, 2, 5, 5, 5, 2, 3, 2, 1, 4, 5, 3, 3, 2, 5, 3, 5, 1, 4, 3, 4, 5, 4, 3, 3, 1, 5, 1, 2, 4, 3, 5, 3, 4, 4, 4, 3, 2, 3, 5, 3, 4, 4, 5, 4, 3, 5, 2, 5, 4, 1, 3, 3, 3, 2, 5], "3866": [5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 5, 5, 5, 3, 2, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 5, 3, 4, 4, 3, 3, 4, 4, 5, 5, 4], "3930": [4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4], "2138": [4, 5, 4, 5, 2, 5, 4, 3, 5, 2, 3, 4, 5, 5, 4, 5, 2, 5, 5, 5, 1, 1, 4, 2, 2, 4, 1, 5, 5, 4, 1, 5, 1, 5, 4, 4, 3, 4, 4, 4, 5, 5], "2344": [4, 3, 3, 3, 4, 4, 5, 1, 4, 3, 3, 2, 4, 1, 4, 3, 3, 1, 4, 3, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 2, 4, 5, 3, 3, 2, 4, 3, 2, 5, 4, 3, 2, 3, 3, 5, 4, 5, 2, 3, 3, 3, 4, 3, 3, 4, 4, 5, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 2, 5, 3, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 5, 4, 5, 3, 5, 2, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 2, 4], "5977": [5, 2, 3, 5, 4, 4, 4, 2, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 2, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5], "944": [4, 5, 4, 4, 4, 4, 2, 5, 5, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4], "5515": [1, 3, 2, 1, 2, 4, 5, 1, 2, 3, 5, 5, 5, 4, 4, 4, 2, 5, 4, 4, 5, 1, 1, 4, 3, 4, 3, 5, 3, 5, 5, 4, 4, 2, 5, 1], "2182": [5, 5, 1, 3, 3], "794": [5, 3, 3, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 4, 2, 4, 5, 5, 4, 5, 5, 2, 3, 2, 5, 4, 5, 4, 5, 2, 5, 1, 5, 5], "3788": [4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 5, 3, 5, 4, 3, 2, 3, 5, 5], "4546": [4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 2, 5, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 1, 3, 4, 4, 5, 5, 5, 4], "495": [4, 2, 3, 3, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 5, 5], "883": [4, 3, 5, 1, 3, 4, 2, 5, 4, 4, 4, 5, 2], "1829": [3, 4, 3, 4, 2, 3, 5, 4, 5, 4, 3, 5, 3, 3, 4, 3, 2, 4, 4, 5, 4, 3, 4, 4, 2], "3488": [3, 2, 2, 4, 2, 4, 2, 3, 1, 3, 3, 4, 2, 4, 3, 3, 3, 3], "1745": [4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4], "3883": [3, 5, 2, 4, 1, 4, 4, 3], "2659": [4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 2, 4, 5, 5, 3, 4, 2, 5, 5, 5, 5, 5, 3, 3, 5, 4, 3, 5, 4, 3, 3, 2, 5, 4, 2, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 1, 5, 4, 4, 4, 5, 4, 4, 5, 2, 3, 5, 5, 4, 2, 3, 5, 3, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 5], "827": [4, 2, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 1, 5, 4, 3, 5, 5, 4, 3, 4, 3], "5284": [5, 5, 4, 3, 3, 4, 4, 1, 5, 5, 4, 4, 2, 2, 2, 4, 5, 5, 3, 4, 5, 2, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 2, 2, 4, 4, 5, 5, 5, 5, 5, 2, 4, 2, 2, 4, 4, 2, 4], "4734": [5, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 1, 5, 4, 2, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 5, 3, 5, 1, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 1, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 1, 4, 2], "523": [5, 2, 5, 4, 5, 3, 5, 4, 5, 3, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 2, 5, 4, 3, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5], "2451": [4, 2, 3, 4, 1, 4, 4, 2, 4, 5, 3, 5, 2, 4, 1, 4, 5, 4, 2, 3, 3, 5, 3, 3, 3, 3, 2, 2, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 4, 4, 3, 3, 2, 4, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 5, 2, 3, 4, 4, 3, 5, 2, 1, 5, 3, 3, 2, 3, 2, 4, 4, 5, 3, 3, 1, 2, 4, 3, 3, 2, 1, 3, 1, 3, 4, 2, 2, 4, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4], "4920": [4, 3, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 1, 5, 2, 5, 3, 4, 3, 5], "226": [3, 3, 3, 4, 3, 3, 5, 2, 4, 4, 2, 2, 4, 4, 5, 4, 3, 5, 5, 5], "2411": [4, 3, 4, 3, 3, 4, 1, 5, 3, 3, 4, 1, 3, 4, 4, 3, 4, 2, 3, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 4, 5, 3, 3, 2, 3, 4, 5, 1, 3, 4, 5, 4, 4, 5, 3, 3, 2, 3, 4, 3, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 3, 3, 2, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 2, 1, 5, 2, 3, 4, 3, 5, 5, 4, 4, 3, 4, 2, 4, 3, 2, 5, 2, 3, 4, 3, 3, 2, 3, 4, 3, 5, 3, 5, 4, 2, 4, 4, 3, 3, 4, 4, 3, 3, 5, 2, 3, 4, 3, 1, 2, 3, 4, 5, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 2, 5, 3, 4, 5, 4, 2, 4, 4, 3, 5, 3, 2, 4, 3, 5, 3, 4, 3, 5, 4, 3, 3, 4, 2, 2, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 4, 5, 3, 3, 2, 5, 5, 4, 4, 3, 3, 4, 2, 1, 1, 4, 4, 4, 1, 5, 4, 4, 4, 4, 3], "4572": [4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 1, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 2, 5, 3, 4, 3, 4, 4, 1, 3, 4, 3, 5, 4, 4, 3, 2, 4, 2, 4, 4, 4, 1, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 3, 5, 5, 5, 4, 5, 2, 2, 5, 5, 4, 5, 5, 3, 3, 5, 5, 2, 5, 3, 4, 5, 5, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 2, 5, 3, 4, 5, 5, 5, 4, 2, 5], "4182": [4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 5], "5463": [4, 5, 5, 3, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 2, 3, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 5, 4, 3, 3, 4, 3, 5, 4, 4, 5, 2, 1, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 2, 2, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5], "714": [4, 3, 3, 4, 3, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 2, 2, 4, 4, 5, 5, 5, 3, 3, 4, 4, 3, 3, 5, 4, 5, 4, 4, 2, 4, 5, 4, 2, 4, 5, 2, 5, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 2, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 5, 4, 4, 5, 4, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 2, 2, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 2, 4, 3, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 1, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 5], "5641": [3, 4, 4, 4, 3, 2, 4, 4, 1, 3, 5, 5, 3, 3, 3, 4, 2, 5, 1, 1, 3, 3, 4, 2, 4, 5, 3, 3, 3, 2, 4, 1, 4, 2, 2, 5, 2, 3, 2, 4, 3, 1, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 2, 2, 1, 5, 4, 4, 4, 2, 2, 1, 4, 3, 3, 3, 1, 3, 3, 5, 3, 5, 5, 2, 4, 3, 3, 2, 4, 4, 3, 3, 5, 4, 1, 2, 5, 5, 2], "2900": [4, 4, 3, 2, 4, 5, 3, 3, 4, 3, 3, 4, 5, 5, 4, 3, 2, 5, 5, 4, 3, 4, 3, 3, 5, 5, 3, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 3, 5, 3, 3, 4, 3, 4, 5, 5, 3, 5, 4, 5, 3, 5, 4, 3, 5, 4, 5, 2, 2, 5, 5, 5, 4, 3, 5, 4, 5, 5, 3, 4, 5, 4, 2, 3, 3, 2, 3, 3, 2, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 2, 2, 3, 3, 4, 5, 3, 2, 5, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 2, 4, 2, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 3, 3, 4, 3, 5, 3, 4, 5, 5, 3, 2, 2, 5, 2, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 3, 5, 2, 5, 3, 3, 3, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 3, 5, 4, 5, 4, 2, 3, 3, 5, 3, 5], "1894": [3, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5], "5446": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 3, 2, 4, 1, 4, 4, 4, 5, 5, 4, 5, 4, 5, 2, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 2, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5], "4121": [5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 3, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 2, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 5, 3, 3, 3, 5, 4, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 5, 3, 3, 3, 3, 5, 2, 3, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 1, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 3, 3, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 3, 4, 1, 5, 5, 3], "917": [5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 1, 5, 5, 3, 4], "3460": [3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 3, 4, 3, 5, 3, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 5, 5, 2, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 3, 3, 3], "3763": [3, 2, 3, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 4, 2, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 2, 4, 3, 3, 3, 4, 3, 5, 3, 3, 5, 3, 5, 3, 3, 3, 5, 5, 3, 4, 4, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 5, 3, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 2, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 2, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3], "5341": [3, 5, 5, 4, 3, 1, 5, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 5, 3, 4, 5, 3, 5, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 5, 3, 3, 5, 5, 5, 4, 2, 3, 5, 4, 3, 4, 3, 4, 3, 5, 3, 5, 3, 1, 4, 4, 5, 4, 5, 5, 3, 4, 4, 5, 2, 4, 5, 5, 1, 3, 1, 2, 5, 5, 5, 5, 3, 3, 2, 5, 4, 2, 3, 3, 5, 3, 5, 2, 3, 1, 5, 2, 3, 4, 3, 5, 3, 3], "2509": [4, 4, 3, 3, 4, 3, 4, 4, 2, 3, 3, 3, 4, 3, 4, 2, 3, 5, 1, 3, 4, 2, 3, 3, 3, 5, 4, 2, 4, 3, 4, 3, 4], "3164": [4, 5, 1, 5, 4, 3], "5834": [4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 2, 4, 2, 4, 2, 4, 5], "3095": [4, 3, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 1, 3, 4, 3, 3, 3, 4, 5, 1, 3, 5, 5, 5, 5, 3, 3, 3, 5, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 2, 3, 5, 4, 5, 4, 3, 1, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 2, 2, 3, 5, 5, 5, 3, 3, 4, 1, 4, 3, 4, 4, 4, 2, 4, 5, 4, 5, 3, 5, 5, 3, 5, 4, 5, 4, 3, 4, 5, 5, 3, 1, 2, 5, 3], "3976": [3, 5, 4, 4, 5, 4, 5, 4, 4, 3, 1, 5, 5, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 2, 3, 4, 3, 4, 3, 5, 4, 2, 2, 5, 4, 4, 5, 5, 2, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 5, 2, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 4, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 3, 2, 1, 4, 4, 4, 5, 5, 4, 4, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 5, 2, 4, 5, 2, 5, 4, 3, 2, 4, 5, 3, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 2, 4, 5, 3, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 2, 5, 3, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5], "371": [5, 3, 1, 5, 3, 2, 4, 3, 2, 4, 3, 5, 4, 3, 2, 4, 5, 5, 2, 5, 3, 1, 4, 2, 3, 3, 4, 3, 5, 5, 2, 5, 3, 1, 2, 3, 2, 1, 4, 5, 3, 3, 4, 5, 3, 5, 3, 3, 4, 2, 3, 5, 3, 3, 2, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5], "1880": [4, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 2, 2, 3, 3, 3, 2, 3, 3, 5, 4, 2, 4, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 2, 2, 3, 3, 5, 4, 4, 2, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 2, 3, 3, 3, 4, 2, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 2, 5, 3, 4, 4, 4, 2, 4, 3, 5, 4, 2, 2, 3, 3, 4, 3, 3, 5, 2, 2, 4, 4, 4, 4, 3, 3, 3, 1, 3, 3, 3, 4, 3, 3, 2, 2, 4, 3, 2, 3, 2, 4, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 3, 3, 3, 3, 2, 1, 3, 3, 4, 5, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 3, 2, 2, 2, 3, 4, 3, 3, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 2, 3, 4, 3, 4, 3, 4, 2, 4, 2, 4, 3, 1, 3, 1, 4, 4, 3, 3, 2, 3, 3, 4, 2, 5, 4, 4, 4, 3, 4, 2, 3, 2, 1, 2, 3, 3, 3, 3, 5, 3, 1, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 2, 2, 4, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 4, 2, 4, 5, 4, 3, 5, 2, 5, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 1, 2, 4, 2, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 3, 5, 5, 5, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 4, 5, 4, 1, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 2, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 2, 4, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 1, 4, 3, 4, 4, 4, 5, 3, 3, 2, 4, 4, 2, 2, 4, 2, 4, 3, 2, 2, 5, 1, 3, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 3, 2, 3, 4, 3, 4, 4, 3, 2, 4, 4, 5, 4, 2, 3, 4, 2, 4, 1, 4, 3, 3, 2, 3, 2, 4, 3, 3, 3, 4, 2, 4, 2, 3, 3, 4, 2, 5, 4, 4, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 3, 4, 2, 2, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 1, 5, 5, 5, 2, 2, 2, 5, 2, 4, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 3, 2, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 2, 4, 4, 4, 5, 3, 3, 2, 4, 5, 4, 3, 5, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 5, 2, 3, 5, 4, 4, 5, 2, 4, 3, 2, 3, 4, 4, 4, 4, 2, 5, 3, 4, 2, 4, 4, 1, 2, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 2, 4, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 2, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 4], "46": [5, 5, 5, 1, 5, 5, 5, 1, 5, 1, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5, 5, 1], "1494": [4, 4, 5, 4, 3, 3, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 2, 4, 1, 5, 5, 4, 3, 2, 2, 3, 5, 4, 5, 4, 4, 4, 5, 2, 5, 1, 5, 5, 3, 4, 2, 3, 4, 5, 4, 5, 3, 5, 3, 4, 1, 2, 5, 5, 2, 5, 4, 4, 1, 5, 4, 5, 5, 2, 1, 1, 4, 2, 1, 4, 4, 5, 3, 2, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4], "5297": [5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 3, 5, 4], "4268": [3, 3, 3, 2, 4, 3, 2, 3, 1, 5, 1, 2, 3, 1, 3, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 1, 3, 4, 5, 1, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 2, 2, 3, 3, 5, 3, 4, 3, 5, 5, 3, 4, 2, 4, 1, 1, 1, 4, 5, 4, 1, 3, 5, 3, 4, 3, 5, 5, 3, 5, 5, 4, 1, 1, 5, 3, 3, 5, 3, 1, 5, 5, 2, 3, 1, 4, 4, 1, 3, 3, 4, 2, 5, 1, 1, 3, 2, 4, 5, 4, 3, 2, 4, 3, 4, 4, 3, 1, 4, 5, 1, 3, 4, 1, 1, 4, 4, 4, 3, 5, 3, 2, 3, 1, 4, 1, 2, 3, 1, 1, 4, 3, 5, 4, 4, 2, 1, 1, 1, 4, 2, 5, 1, 4, 4, 5, 4, 4, 5, 1, 1, 5, 3, 1, 5, 1, 5, 5, 5, 5, 3, 5, 3, 5, 1, 4, 3, 5, 4, 4, 5, 5, 1, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 1, 2, 1, 5, 4, 3, 3, 1, 1, 3, 3, 1, 3, 5, 4, 2, 5, 5, 5, 4, 3, 3, 4, 2, 4, 5, 2, 3, 1, 4, 4, 5, 4, 3, 1, 2, 4, 2, 2, 4, 3, 3, 1, 1, 1, 5, 3, 4, 5, 4, 5, 1, 1, 5, 5, 1, 1, 3, 4, 1, 5, 3, 1, 3, 3, 3, 1, 4, 3, 3, 4, 4, 5, 4, 1, 4, 5, 1, 3, 3, 5, 3, 5, 5, 3, 5, 1, 4, 3, 2, 3, 5, 1, 2, 4, 3, 3, 3, 3, 4, 5, 2, 3], "2635": [5, 4, 5, 5, 5, 5, 5, 3, 2, 3, 2, 5, 2, 3, 3, 2, 4, 3, 3, 5, 1, 3, 4, 3, 2, 2, 2, 2, 3, 2, 5, 4, 4, 4, 4, 2, 4, 4, 3, 1, 4, 4, 3, 4, 5, 4, 5, 1], "3458": [4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 5, 3, 5, 5, 2, 2, 4, 5, 5, 4, 5, 4, 5, 4, 2, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 2, 3, 2, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 5, 4, 4, 5, 3], "6039": [4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 2, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 5, 4, 5, 3, 4, 3, 5, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 2, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4], "2412": [4, 3, 4, 4, 5, 3, 3, 5, 3, 5, 3, 5, 4, 4, 3, 5, 3, 3, 4, 2, 3, 4, 5, 5, 4, 5, 3, 3, 3], "1760": [3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 5, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 3, 4, 5, 2, 4, 4, 5, 5, 2, 5, 2, 4, 4, 5, 5, 4], "2990": [4, 5, 5, 5, 4, 4, 4, 2, 5, 3, 2, 5, 5, 4, 5, 1, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 1, 5, 4, 2, 4, 3, 5, 5, 4, 3, 4, 5, 4, 5, 2, 4, 5, 4, 5, 5, 3, 3, 3, 4, 3, 5, 3, 5, 3, 4, 5, 2, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 2, 3, 5, 3, 3, 4, 4, 1, 5, 2, 4, 4, 3, 5, 2, 1, 5, 4, 5, 4, 1, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 2, 5, 2, 3, 5, 3, 1, 5, 5, 5, 2, 5, 5, 4, 4, 5, 3, 5, 4, 4, 3, 4, 2, 3, 5, 3, 1, 4, 4, 5, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 2, 4, 4, 2, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 2, 4, 4, 5, 2, 4, 4, 4, 5, 4, 4, 4, 2, 4, 5, 4, 5, 5, 4, 3, 5, 3, 5, 3, 5, 2, 4, 5, 5, 2, 4, 3, 1, 5, 4, 5, 3, 4, 5, 3, 4, 2, 4, 2, 5, 5, 4, 4, 5, 3, 4, 4, 2, 5, 5, 3, 5, 4, 5, 5], "798": [4, 1, 1, 4, 5, 5, 1, 1, 3, 2, 3, 5, 3, 2, 3, 5, 1, 1, 1, 2, 2, 5, 3, 5, 3, 2, 2, 3, 1, 4, 5, 5, 3, 3, 2, 5, 3, 2, 5, 1, 1, 3, 2, 3, 5, 4, 5, 5, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 5, 3, 5, 5, 3, 3, 3, 5, 4, 3, 1, 3, 2, 1, 1, 1, 4, 3, 1, 2, 5, 5, 4, 2, 2, 5, 2, 1, 1, 1, 3, 5, 4, 4, 2, 1, 1, 3, 4, 1, 5, 5, 1, 5, 5, 3, 5, 3, 4, 2, 5, 3, 4, 3, 2, 4, 4, 5, 1, 3, 3, 1, 5, 4, 1, 3, 3, 4, 2, 1, 4, 3, 3, 5, 2, 2, 3, 1, 2, 1, 1, 2, 5, 5, 2, 3, 5, 5, 3, 5, 5, 5, 4, 1, 3, 2, 5, 5, 1, 5, 5, 4, 3, 5, 5, 3, 3, 3, 3, 5, 2, 2, 5, 4, 2, 3, 2, 2, 2, 2, 5, 4, 2, 2, 3, 3, 5, 5, 1, 5, 1, 4, 2, 4, 5, 5, 5, 3, 2, 5, 2, 2, 3, 5, 2, 5, 2, 2, 5, 2, 3, 5, 5, 2, 2, 3, 3, 5, 5, 2, 2, 2, 1, 3, 5, 3, 5, 5, 5, 5, 4, 4, 1, 5, 5, 3, 1, 3, 4, 1, 1, 1, 4, 1, 1, 5, 3, 5, 1, 1, 4, 1, 1, 2, 3, 2, 5, 1, 2, 5, 4, 3, 2, 3, 3, 4, 3, 5, 5, 3, 5, 3, 3, 3, 3, 5, 2, 1, 5, 2, 3, 5, 2, 5, 1, 5, 3, 1, 1, 5, 1, 2, 2, 4, 1, 3, 5, 3, 4], "2155": [3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 3, 5, 4], "3208": [3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 3, 3, 4, 3, 5, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 1, 3, 4, 3, 4, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 3, 3, 5, 2, 3, 3, 4, 4, 3, 3, 3, 5, 1, 3, 2, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 1, 5, 4, 3, 4, 4, 2, 3, 1, 3, 5, 5, 5, 3, 1, 3, 2, 4, 3, 3, 5, 3, 5, 1, 3, 3, 4, 3, 2, 4, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 3, 3, 3, 3, 1, 5, 3, 3, 5, 3, 5, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 3, 1, 2, 3, 1, 3, 4, 2, 3, 2, 1, 5, 3, 2, 3, 3, 2, 3, 3, 4, 5, 4, 3, 3, 2, 2, 4, 3, 5, 4, 3, 4, 2, 3, 2, 2, 1, 2, 3, 5, 4, 3, 3, 3, 3, 2, 3, 1, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 5, 4, 3, 5, 1, 3, 4, 3, 2, 4, 5, 3, 4, 4, 2, 4, 1, 3, 3, 3, 4, 4, 3, 5, 4, 2, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 3, 3, 4, 3, 4, 5, 3, 3, 5, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 5, 3, 2, 4, 3, 3, 3, 4, 5, 2, 3, 3, 5, 4, 3, 3, 4, 4, 5, 1, 4, 5, 4, 5, 3, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 2], "5092": [4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4], "4915": [3, 5, 5, 5, 5, 3, 4, 4, 3, 3, 4, 5, 2, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 2, 3, 2, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 2, 5, 2, 5, 4, 4, 2, 4, 3, 2, 4, 2, 1, 5, 4, 5, 2, 3, 4, 4, 4, 5, 5, 3, 1, 4, 4, 3, 2, 3, 3, 1, 2, 3, 2, 1, 5, 4, 4], "4156": [5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 2, 3, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 2, 4, 3, 1, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 5, 3, 2, 4, 3, 2, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 3, 2, 5, 5, 5, 4, 5, 4, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 2, 5, 4, 3, 4, 4, 4, 2, 2, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 2, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 2, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 1, 5, 2, 4, 4, 4, 4], "1852": [4, 3, 4, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 5, 4, 4, 3, 2, 1, 2, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 2, 3, 3], "3691": [2, 5, 4, 4, 3, 5, 5, 3, 5, 3, 3, 4, 1, 5, 4, 3, 5, 4, 4, 5, 5, 5, 3, 3, 4, 5, 4, 5, 3, 4, 2, 4, 2, 4, 2, 4, 2, 2, 5, 5, 1, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 2, 4, 3, 3, 5, 3, 3, 3, 2, 5, 1, 4, 4, 5, 5, 3, 4, 3, 2, 3, 2, 4, 5, 4, 5, 3, 4, 3, 5, 5, 3, 5, 3, 4, 2, 5, 4, 3, 2, 3, 3, 3, 3, 4, 2, 4, 4, 1, 2, 3, 2, 3, 4, 4, 4, 4, 3, 4, 4, 1, 4, 4, 1, 4, 4, 3, 3, 2, 4, 4, 4, 4, 3, 5, 3, 4, 1, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 5, 2, 2, 2, 2, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 2, 3, 3, 2, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 3, 4, 5, 4, 3, 4, 4, 4, 3], "420": [4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 3, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 3, 3, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5], "4022": [4, 2, 5, 3, 4, 2, 4, 5, 4, 4, 4, 3, 5, 4, 4, 2, 2, 4, 3, 2, 4, 3, 4, 3, 1, 3, 5, 2, 4, 3, 3, 4, 3, 3, 3, 1, 3, 3, 4, 2, 3, 4, 5, 2, 5, 4, 2, 5, 4, 2, 2, 4, 3, 4, 4, 4, 2, 2, 3, 3, 4, 3, 2, 2, 3, 4, 5, 4, 4, 1, 4, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 4, 2, 2, 4, 1, 2, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 2, 1, 4, 4, 4, 2, 5, 3, 1, 2, 3, 2, 2, 4, 3, 5, 2, 4, 2, 1, 1, 1, 1, 2, 3, 2, 4, 3, 4, 4, 4, 3, 1, 4, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 4, 3, 5, 2, 4, 3, 4, 1, 2, 3, 4, 3, 3, 4, 2, 3, 2, 2, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 5, 2, 3, 3, 3, 3, 3, 1, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 4, 4, 3, 3, 2, 2, 3, 2, 3, 2, 5, 3, 3, 3, 3, 3, 3, 2, 4, 2, 5, 5, 1, 2, 4, 4, 4, 4, 3, 2, 2, 4, 2, 4, 2, 3, 3, 4, 2, 4, 2, 3, 3, 3, 3, 3, 2, 4, 2, 3, 4, 3, 1, 3, 3, 3, 2, 2, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 5, 2, 4, 4, 3, 1, 4, 2, 2, 4, 1, 4, 4, 2, 4, 5, 5, 3, 5, 4, 4, 5, 3, 4, 4, 5, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 2, 2, 2, 2, 3, 4, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 1, 3], "3068": [5, 4, 4, 3, 4, 5, 3, 4, 5, 5, 3, 5, 4, 4, 3, 1, 4, 4, 3], "1503": [4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 1, 4, 3, 3, 4, 3, 3, 2, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 3, 5, 4, 2, 4, 2, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 4, 3, 2, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 2, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 3, 5, 4, 4, 4, 4], "672": [4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 5, 1, 4, 5, 4, 5, 3, 3, 2, 4, 4, 5, 3, 2, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4], "24": [4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 5, 1, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 1, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 2, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 1, 4], "4335": [3, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 2, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 5, 3, 2, 3, 3, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 3, 4, 2, 4, 4, 4, 3, 5, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 4, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 5, 3, 3, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 2, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 2, 3, 4, 1, 3, 3, 1, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 2, 4, 4, 4, 2, 3, 4, 5, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 1, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 3, 1, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 3, 3, 5, 3, 2, 2, 4, 3, 3, 3, 5, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 2, 5, 3, 3, 5], "2510": [5, 5, 5, 5, 5, 5, 3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 2, 5], "3012": [2, 1, 4, 1, 2, 4, 3, 3, 4, 3, 3, 1, 3, 2, 4, 3, 3, 1, 1, 3, 3, 4, 1, 3, 4, 1, 4, 4, 3, 1, 3, 1, 3, 1, 2, 4, 1, 1, 2, 1, 1, 3, 5, 2, 2, 2, 1, 1, 4, 3, 2, 1, 2, 2, 1, 5, 5, 1, 1, 1, 1, 3, 1, 1, 1, 1, 5, 5, 1, 3, 3, 3, 1, 1, 5, 5, 2, 3, 3, 3, 1, 5, 1, 1, 3, 5, 2, 1, 1, 1, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 2, 5, 4, 5, 2, 1, 1, 3, 2, 5, 1, 3, 2, 3, 5, 3, 5, 5, 5, 3, 1, 3, 4, 1, 1, 1, 3, 3, 2, 3, 1, 5, 2, 3, 2, 5, 3, 3, 1, 1, 1, 3, 5, 3, 1, 5, 5, 5, 5, 5, 2, 2, 2, 1, 1, 5, 1, 3, 3, 1, 1, 3, 4, 1, 5, 3, 3, 3, 1, 1, 1, 2, 4, 1, 1, 1, 3, 1, 2, 1, 1, 2, 5, 5, 3, 5, 5, 3, 1, 3, 2, 1, 5, 1, 3, 1, 1, 1, 1, 2, 3, 4, 2, 1, 3, 2, 2, 1, 5, 1, 3, 2, 1, 2, 2, 4, 5, 4, 5, 3, 2, 1, 3, 3, 3, 5, 5, 2, 2, 1, 5, 3, 3, 3, 1, 3, 3, 3, 3, 5, 1, 5, 1], "1401": [5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 5, 1, 3, 2, 3, 5, 4, 4, 4, 4, 5, 5, 3, 5], "5331": [4, 3, 5, 3, 4, 3, 2, 3, 4, 5, 3, 2, 4, 4, 1, 4, 3, 1, 5, 4, 3, 4, 1, 4, 3, 5, 5, 4, 5, 2, 4, 2, 3, 5, 4, 2, 2, 5, 2, 3, 3, 4, 4, 4, 4, 3, 5, 3, 3, 2, 5, 1, 1, 2, 4, 2, 3, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4], "122": [5, 5, 4, 4, 4, 4, 2, 3, 2, 3, 1, 1, 2, 2, 1, 4, 2, 4, 3, 4, 1, 1, 3, 4, 2, 4, 3, 4, 1, 4, 1, 4, 2, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3], "3936": [5, 4, 4, 4, 3, 5, 5, 5, 5, 1, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3], "1541": [5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 3, 5, 3, 3, 5, 5, 5, 3, 5], "5989": [5, 5, 5, 4, 5, 4, 2, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 4, 2, 5, 4, 3, 3, 4, 2, 5, 3, 3, 3, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4], "4406": [3, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 2, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 2, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 2, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 1, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 1, 4, 3, 5, 3, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 3], "653": [3, 5, 5, 4, 5, 5, 5, 2], "4292": [5, 1, 5, 3, 1, 1, 4, 3, 4, 3, 4, 2, 3, 3, 5, 3, 3, 4, 3, 1, 5, 4, 5, 4, 3, 3, 4, 2, 2, 5, 1, 5, 3, 5, 3, 1, 3, 2, 5, 4, 5, 1, 5, 5, 1, 5, 3, 4, 3], "4688": [5, 5, 1, 4, 5, 3, 4, 4, 5, 5, 4, 2, 2, 5, 4, 4, 4, 5, 5, 2, 3, 3, 4, 4, 1, 5, 3, 5, 5, 5, 5, 3, 4, 1, 4, 3, 5, 5, 2, 2, 4, 5, 3, 3, 5, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 2, 2, 4, 2, 4, 3, 5, 5, 3, 3, 4, 4, 3, 1, 5, 5, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 1, 1, 4, 4, 5, 4, 4, 4, 2, 3, 2, 1, 5, 1], "1392": [2, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 3, 3, 3, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 5, 3, 2, 4, 1, 3, 2, 4, 4, 5, 3, 3, 2, 4, 2, 3, 3, 4, 4, 1, 5, 2, 5, 3, 3, 3, 2, 4, 3, 3, 2, 4, 3, 4, 3, 4, 1, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 1, 5, 4, 1, 5, 3, 1, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 5, 4, 4, 2, 4, 3, 4, 2, 2, 5, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 5, 1, 5, 4, 1, 2, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 1, 1, 4, 4, 3, 3, 4, 3, 3, 5, 3, 1, 5, 4, 3, 4, 2, 4, 3, 1, 3, 4, 4, 3, 5, 2, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 2, 3, 4, 3, 3, 2, 4, 5, 5, 1, 4, 2, 1, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 2, 5, 4, 3, 2, 4, 1, 5, 3, 3, 4, 5], "2715": [3, 1, 5, 4, 4, 4, 4, 2, 3, 4, 2, 3, 4, 3, 4, 3, 5, 5, 4, 3, 5, 3, 4, 2, 4, 5, 2, 2, 3, 2, 2, 4, 1, 1, 3, 4, 1, 5, 5, 5, 2, 5, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 1, 4, 5, 2, 5, 4, 1, 5, 4, 4], "4351": [4, 5, 5, 5, 3, 4, 3, 4, 3, 4, 2, 4, 5, 3, 4, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 3, 5, 5, 3, 5, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 3, 1, 3, 4, 5, 3, 4, 4, 5, 2, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 1], "5543": [2, 4, 4, 5, 4, 3, 5, 3, 5, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 4, 4, 4, 2, 2, 1, 4, 4, 5, 4, 2, 3, 2, 2, 3, 3, 5, 3, 5, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 3, 3, 3, 2, 4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 1, 3, 3, 5, 3, 5, 2, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 2, 4, 4, 3, 5, 5, 5, 5, 2, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 2, 4, 2, 5, 5, 4, 3, 5, 4, 4, 3, 3, 5, 3, 5, 4, 5, 3, 3, 4, 5, 4, 2, 5, 5, 5, 4, 2, 3, 5, 5, 3, 3, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 3, 2, 4, 4, 3, 5, 1, 2, 5, 2, 4, 5, 4, 2, 2, 2, 2, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 2, 5, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 3, 2, 3, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 2, 4, 3, 3, 4, 3, 2, 4, 3, 5, 5, 3, 3, 5, 4, 3, 4, 4, 5, 4, 5, 3, 2, 3, 3, 3, 2, 3, 2], "501": [4, 5, 3, 5, 5, 2, 1, 4, 3, 3, 1, 1, 5, 5, 4, 2, 2, 2, 3, 3, 4, 3, 4, 5, 5, 5, 2, 4, 5, 5, 2, 5, 5, 5, 3, 4, 1, 2, 2, 2, 5, 2, 2, 2, 5, 3, 2, 2, 4, 3, 4, 4, 2], "1740": [5, 3, 3, 5, 3, 5, 4, 3, 4, 5, 2, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 3, 1, 4, 4, 5, 4, 4, 3, 5, 5, 3, 5, 3, 5, 4, 4, 3, 3, 5, 4, 3, 4, 3, 5, 4, 5, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4], "2780": [4, 2, 4, 2, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3], "2287": [5, 4, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5], "2123": [5, 5, 3, 4, 5, 1, 5, 5, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 5, 4, 3, 5], "2173": [4, 5, 5, 5, 3, 4, 5, 4, 3, 4, 4, 3, 3, 5, 3, 5, 4, 2, 4, 3, 4, 5, 5, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 5, 4, 3, 3, 4, 2, 3, 4, 4, 3, 5, 5, 4, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 5, 3, 5, 4, 2, 4, 2, 4, 4, 4, 1, 5, 1, 3, 2, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 1, 4, 4, 4, 5, 5, 3, 4, 3, 1, 3, 4, 1, 4, 5, 4, 4, 4, 4, 4, 1, 4, 4, 2, 1, 2, 5, 4, 4, 3, 2, 3, 5, 4, 4, 5, 4, 3, 5, 2, 4, 5, 3, 5, 5, 4, 4, 3, 5, 3, 5, 4, 4, 4, 1, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 2, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 4, 1, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 2, 4, 2, 4, 2, 4, 5, 4, 4, 2], "5004": [5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 3, 1, 5, 4, 4, 5, 5, 5, 1, 1, 5, 3, 4, 5, 5, 5, 3, 3, 4, 3, 4, 5, 5, 3], "5842": [5, 3, 2, 4, 3, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 4, 3, 5, 2, 5, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 3, 4, 5, 5, 3, 2, 5, 5], "3648": [2, 1, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 1, 4, 5, 3, 4, 4, 3, 3, 2, 3, 5, 2, 3, 2, 5, 2, 3, 4, 4, 4, 4, 2, 2, 5, 3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 4, 4, 2, 4, 4, 5, 2, 3, 4, 2, 3, 3, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 1, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 5, 4, 4, 3, 5, 4, 4, 2, 5, 3, 3, 4, 4, 3, 4, 3, 2, 2, 3, 3, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 4, 2, 4, 4, 3, 4, 4, 3, 3, 3, 1, 3, 3, 2, 4, 2, 2, 1, 3, 3, 1, 2, 1, 4, 3, 2, 4, 3, 4, 1, 2, 3, 3, 1, 2, 2, 2, 4, 4, 3, 2, 4, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 2, 5, 4, 4, 3, 3, 2, 1, 1, 4, 4, 3, 3, 5, 1, 4, 4, 2, 3, 2, 1, 5, 2, 3, 3, 4, 1, 3, 1, 2, 1, 4, 2, 4, 1, 4, 4, 3, 3, 2, 3, 3, 3, 4, 5, 5, 2, 1, 3, 4, 4, 2, 4, 3, 4, 4, 2, 1, 2, 3, 5, 3, 2, 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 2, 4, 3, 2, 1, 3, 3, 5, 4, 2, 3, 1, 3, 1, 4, 2, 4, 4, 3, 3, 3, 2, 5, 5, 1, 4, 5, 5, 3, 4, 2, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 2, 2, 4, 3, 2, 2, 3, 4, 5, 2, 3, 5, 4, 5, 4, 1, 4, 3, 4, 3, 1, 2, 3, 3, 2, 1, 5, 1, 4, 1, 3, 3, 1, 3, 5, 2, 1, 4, 1, 4, 4, 4, 4, 5, 3, 1, 3, 3, 5, 1, 1, 4, 2, 4, 3, 3, 3, 3, 2, 2, 1, 4, 2, 2, 5, 4, 1, 5, 2, 3, 4, 5, 1, 3, 2, 1, 4, 5, 1, 3, 3, 2, 2, 1, 1, 3, 1, 3, 3, 3, 3, 3, 5, 5, 3, 2, 1, 2, 4, 3, 3, 1, 4, 3, 2, 1, 3, 3, 3, 3, 1, 3, 2, 1, 3, 5, 2, 1, 3, 3, 2, 2, 3, 3, 3, 1, 4, 3, 4, 3, 4, 2, 3, 3, 3, 5, 2, 3, 3, 1, 4, 4, 4, 3, 4, 4, 4, 2, 5, 2, 4, 1, 2, 4, 1, 3, 2, 1, 3, 1, 2, 2, 5, 2, 5, 4, 3, 2, 2, 4, 2, 1, 1, 2, 4, 4, 3, 5, 2, 2, 2, 2, 4, 4, 4, 2, 2, 3, 5, 4, 4, 3, 3, 1, 4, 3, 2], "3870": [3, 4, 5, 5, 5, 1, 3, 4], "5208": [5, 5, 5, 5, 5, 2, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 1, 5, 5, 5, 5, 4, 3, 1, 4, 4], "950": [3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 2, 4, 2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 2, 4, 4, 4, 2, 4], "1550": [3, 5, 5, 2, 5, 5, 4, 4, 4, 3, 2, 4, 2, 4, 5, 4, 5, 5], "5137": [5, 1, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 3, 5, 3, 2, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 1, 1, 4, 4, 4, 4, 4, 1, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 2, 2, 4, 3, 5, 5, 4, 5, 5, 4, 1, 5, 5, 3, 3, 5], "4473": [3, 4, 4, 4, 4, 2, 4, 2, 5, 2, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 5, 3, 3, 3, 4, 4, 3, 2, 2, 3, 5, 4, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 2, 4, 5, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 4, 4, 3, 5, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 5, 4, 4, 4, 4, 3, 2, 2, 4, 4, 4, 4, 3, 2, 3, 3, 3, 3, 5, 4, 4, 2, 4, 3, 3, 3, 3, 4, 1, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 2, 2, 2, 5, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 3, 2, 2, 2, 5, 2, 5, 3, 4, 4, 3, 3, 3, 5, 2, 4, 4, 1, 4, 3, 3, 5, 3, 4, 2, 5, 3, 4, 2, 4, 4, 4, 2, 4, 3, 4, 1, 4, 2, 3, 4, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 2, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 2, 4, 4, 3, 1, 2, 5, 4, 4, 3, 4, 2, 4, 3, 2, 4, 3, 1, 2, 3, 4, 3, 3, 5, 4, 1, 5, 3, 4, 2, 4, 4, 1, 1, 3, 2, 2, 3, 3, 3, 4, 4, 2, 4, 5, 2, 3, 4, 2, 4, 1, 5, 5, 3, 3, 4, 2, 4, 5, 3, 3, 2, 3, 4, 3, 4, 5, 3, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 3, 2, 4, 3, 5, 2, 3, 4, 3, 5, 3], "4721": [5, 1, 2, 5, 4, 5, 5, 4, 3, 5, 3, 4, 1, 4, 4, 5, 4, 4, 4, 4, 3, 1, 5, 5, 4, 4, 4, 4, 4], "1181": [3, 3, 3, 4, 4, 3, 4, 2, 3, 4, 3, 2, 2, 4, 2, 3, 2, 3, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 2, 3, 2, 3, 2, 5, 3, 1, 1, 2, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 3, 4, 2, 4, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 4, 3, 2, 4, 2, 4, 2, 3, 3, 3, 2, 3, 5, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 4, 5, 3, 3, 2, 2, 4, 2, 2, 3, 4, 2, 3, 2, 3, 3, 4, 4, 1, 2, 3, 2, 3, 1, 3, 3, 3, 3, 4, 5, 5, 3, 3, 2, 3, 3, 4, 4, 2, 4, 3, 1, 4, 3, 2, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 2, 3, 4, 3, 3, 2, 2, 5, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 5, 3, 4, 4, 3, 2, 3, 3, 3, 2, 1, 2, 3, 3, 3, 5, 5, 2, 2, 3, 3, 4, 5, 2, 3, 2, 3, 1, 3, 3, 4, 3, 2, 2, 2, 2, 2, 4, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 1, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 3, 2, 2, 4, 2, 1, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 4, 4, 4, 1, 4, 3, 2, 4, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 2, 2, 4, 4, 3, 2, 2, 4, 3, 4, 3, 2, 2, 2, 3, 4, 5, 1, 5, 4, 3, 2, 3, 4, 4, 3, 3, 2, 5, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 1, 1, 3, 4, 3, 4, 3, 4, 2, 1, 2, 1, 3, 3, 2, 2, 3, 4, 3, 2, 3, 4, 2, 2, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 4, 2, 3, 2, 1, 3, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 1, 4, 4, 4, 2, 2, 3, 1, 2, 1, 5, 4, 4, 5, 4, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 5, 1, 3, 2, 4, 3, 2, 3, 1, 3, 3, 1, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 4, 3, 5, 3, 2, 2, 1, 4, 2, 3, 2, 1, 3, 2, 1, 1, 3, 3, 1, 4, 1, 3, 2, 4, 3, 2, 2, 4, 3, 2, 2, 5, 3, 2, 2, 2, 2, 2, 4, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 4, 2, 5, 2, 2, 3, 2, 3, 4, 2, 3, 3, 1, 3, 2, 5, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 4, 2, 2, 3, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 2, 4, 2, 3, 3, 2, 2, 3, 4, 3, 1, 3, 2, 3, 2, 2, 3, 4, 3, 1, 1, 3, 3, 2, 3, 2, 3, 3, 4, 3, 4, 2, 3, 3, 4, 2, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 2, 4, 2, 3, 3, 3, 2, 3, 2, 2, 5, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 4, 2, 4, 3, 2, 2, 2, 3, 3, 3, 2, 4, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 2, 4, 2, 2, 4, 3, 2, 4, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 2, 4, 2, 1, 1, 4, 3, 1, 3, 4, 3, 3, 3, 2, 2, 2, 3, 3, 3, 1, 3, 3, 2, 2, 5, 3, 3, 4, 3, 3, 1, 5, 5, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 2, 1, 4, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 1, 2, 2, 3, 3, 4, 2, 1, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 1, 4, 3, 3, 3, 2, 3, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 5, 4, 3, 3, 5, 4, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 4, 3, 2, 3, 3, 5, 4, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 2, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 2, 3, 3, 4, 3, 2, 3, 1, 5, 3, 5, 3, 4, 3, 3, 2, 4, 2, 2, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 3, 4, 3, 4, 1, 4, 2, 3, 1, 2, 3, 2, 1, 3, 4, 2, 3, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 2, 4, 4, 2, 2, 3, 2, 4, 4, 4, 4, 4, 1, 3, 2, 3, 3, 4, 2, 2, 3, 1, 3, 3, 2, 1, 3, 3, 3, 1, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 2, 4, 3, 3, 2, 4, 3, 3, 2, 1, 3, 1, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 5, 3, 1, 3, 1, 1, 5, 2, 3, 4, 3, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 3, 1, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 4, 3, 3, 3, 2, 3, 2, 2, 4, 1, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 5, 2, 4, 3, 5, 3, 4, 2, 2, 3, 2, 2, 3, 2, 3, 4, 3, 3, 3, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 4, 2, 4, 4, 3, 3, 3, 3, 2, 3, 2, 5, 3, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 5, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 1, 4, 3, 4, 2, 4, 3, 3, 4, 1, 4, 4, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 4, 5, 3, 4, 2, 3, 3, 3, 1, 3, 1, 3, 4, 1, 3, 2, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 4, 3, 2, 5, 5, 3, 4, 4, 2, 1, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 5, 2, 1, 3, 3, 2, 3, 2, 4, 3, 2, 3, 2, 2], "640": [4, 5, 2, 5, 5, 4, 3, 5, 5, 5, 3, 5, 4, 5, 1, 5], "5384": [4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 4, 5, 5, 3, 2], "5627": [2, 3, 3, 3, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 2, 2, 3, 5, 1, 2, 2, 3, 4, 2, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 1, 4, 2, 5, 4, 2, 3, 4, 4, 1, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 2, 3, 4, 3, 4, 2, 3, 4, 3, 2, 3, 5, 3, 3, 3, 2, 3, 2, 3, 3, 3, 5, 4, 2, 4, 1, 4, 2, 3, 3, 4, 4, 4, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 2, 5, 4, 3, 3, 3, 4, 2, 3, 2, 3, 2, 4, 3, 2, 3, 3, 4, 4, 3, 5, 3, 2, 3, 3, 1, 2, 3, 4, 2, 3, 4, 3, 2, 4, 3, 2, 3, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 5, 4, 3, 4, 4, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 4, 1, 2, 2, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 2, 4, 4, 4, 5, 3, 4, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 2, 4, 2, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 2, 4, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 4, 2, 3, 3, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 5, 3, 3, 4, 2, 3, 3, 3, 4, 2, 3, 4, 4, 3, 5, 5, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 2, 3, 4, 3, 3, 3, 4, 3, 2, 3, 2, 1, 3, 2, 3, 4, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 1, 3, 2, 2, 4, 3, 3, 3, 3, 3, 4, 2, 1, 4, 5, 1, 3, 2, 4, 3, 4, 4, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 5, 5, 4, 3, 3, 3, 5, 3, 3, 5, 3, 4, 3, 5, 3, 3, 3, 3, 2, 5, 3, 3, 2, 4, 4, 2, 5, 4, 2, 4, 3, 3, 3, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 1, 3, 3, 3, 4, 4, 1, 3, 4, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 4, 3, 2, 3, 3, 1, 3, 3, 3, 4, 3, 3, 4, 1, 3, 3, 3, 2, 1, 3, 1, 3, 3, 4, 3, 1, 3, 3, 4, 3, 3, 2, 1, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 5, 4, 2, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 3, 2, 4, 3, 2, 2, 2, 3, 3, 3, 2, 4, 2, 3, 1, 3, 3, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 3, 5, 3, 2, 3, 2, 3, 1, 4, 2, 3, 2, 3, 3, 2, 5, 3, 1, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 2, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 2, 2, 3, 2, 3, 2, 3, 3, 2, 5, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 5, 2, 2, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 2, 3, 3, 2, 3, 2, 4, 3, 4, 4, 1, 4, 2, 2, 4, 3, 3, 2, 3, 2, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4], "3943": [4, 5, 4, 5, 4, 3, 5, 4, 5, 3, 2, 4, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5], "1239": [2, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 2, 4, 5, 4, 5, 4, 1, 5, 3, 3, 3, 4, 5, 4, 2, 4, 4, 5, 5, 1, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 2, 5, 4, 4, 5, 3, 4, 4, 3, 2, 5, 3, 4, 4, 2, 4], "3037": [4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4], "4600": [3, 4, 3, 5, 3, 3, 3, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 5, 4, 5, 4, 4, 4, 3, 4, 3, 3, 2, 4, 3, 1, 5, 4, 3, 5, 4, 3, 5, 3, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 2, 2, 2, 4, 5, 1, 3, 5, 4, 5, 4, 5, 4, 4, 3, 5, 3, 5, 4, 5, 3, 5, 5, 4, 4, 3, 3, 4, 5, 5, 3, 3, 4, 3, 3, 4, 5, 1, 2, 2, 4, 2, 4, 5, 5, 3, 4, 3, 4, 4, 2, 5, 4, 4, 4, 2, 3, 5, 1, 5, 2, 4, 3, 4, 4, 4, 2, 4, 5, 5, 4, 3, 2, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 1, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 4, 2, 4, 3, 4, 5, 3, 3, 4, 4, 3, 5, 4, 5, 4, 2, 2, 4, 3, 3, 5, 3, 4, 5, 3, 4, 4, 2, 3, 5, 3, 2, 4, 4, 4, 5, 4, 4], "1443": [5, 4, 5, 3, 5, 3, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 3, 3, 5, 3, 3, 5, 5, 2, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4], "362": [3, 4, 5, 5, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 5, 3, 5, 4, 2, 2, 2, 3, 3, 3, 1, 4, 3, 2, 3], "461": [5, 4, 3, 3, 4, 2, 3, 2, 3, 4, 4, 4, 3, 3, 2, 4, 3, 5, 4, 3, 3, 3, 4, 4, 4, 2, 3, 4, 1, 4, 3, 5, 4, 2, 5, 4, 3, 5, 3, 2, 5, 5, 5, 3, 3, 4, 3, 5, 4, 4, 5, 3, 5, 5, 2, 5, 2, 3, 4, 2, 2, 4, 3, 4, 2, 3, 3, 4, 3, 2, 4, 2, 3, 4, 4, 3, 2, 3, 3, 4, 5, 4, 4, 3, 2, 2, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 3, 2, 3, 3, 4, 3, 5, 3, 5, 2, 3, 3, 3, 2, 5, 3, 3, 2, 3, 4, 5, 2, 2, 5, 3, 3, 5, 4, 3, 4, 3, 3, 4, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 5, 2, 3, 3, 2, 2, 5, 2, 4, 4, 3, 2, 2, 4, 4, 2, 2, 4, 2, 2, 4, 3, 5, 3, 2, 3, 3, 2, 2, 2, 4, 2, 3, 4, 4, 2, 3, 2, 2, 3, 4, 3, 4, 4, 1, 2, 4, 5, 2, 2, 4, 1, 4, 3, 4, 3, 3, 5, 4, 5, 3, 4, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 3, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 5, 5, 2, 3, 3, 5, 4, 5, 4, 3, 3, 1, 3, 2, 3, 2, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 2, 2, 2, 4, 5, 4, 3, 3, 2, 4, 4, 4, 4, 4, 2, 2, 1, 2, 4, 3, 3, 3, 3, 4, 3, 2, 3, 2, 2, 2, 5, 2, 2, 2, 3, 2, 3, 4, 4, 2, 3, 2, 2, 4, 2, 5, 4, 2, 5, 3, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 3, 2, 2, 3, 3, 4, 2, 2, 4, 3, 4, 2, 4, 4, 4, 5, 2, 2, 3, 3, 4, 4, 2, 4, 5, 2, 3, 2, 3, 5, 1, 2, 2, 2, 3, 3, 4, 5, 3, 3, 3, 2, 3, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 1, 2, 4, 4, 1, 5, 1, 4, 3, 3, 3, 3, 4, 1, 1, 2, 1, 4, 4, 3, 4, 4, 2, 3, 4, 2, 3, 4, 1, 3, 4, 2, 4, 4, 2, 2, 2, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 5, 2, 3, 2, 4, 2, 2, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 4, 2, 2, 4, 5, 5, 2, 4, 5, 2, 3, 4, 2, 3, 1, 5, 5, 4, 3, 4, 3, 4, 4, 4, 1], "3339": [3, 5, 5, 4, 5, 4, 5, 4, 4, 1, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 2, 5, 5], "5128": [2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 3, 2, 4, 3, 4, 3, 5, 1, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 2, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3], "966": [3, 5, 2, 5, 4, 1, 4, 3, 3, 4, 3, 3, 5, 2, 1, 4, 3, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 5, 4, 5, 5, 2, 2, 3, 3, 5, 2, 4, 5, 3, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 4, 3, 5, 2, 4, 3, 5, 3, 5, 3, 5, 4, 4, 5, 2, 4, 5, 5, 5, 2, 5, 4, 5, 3, 5, 5, 5], "3949": [5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 2, 3, 5, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 5, 5, 4, 4, 3, 3, 2, 4, 5, 4, 3, 2, 5, 5, 3], "2308": [5, 4, 5, 5, 4, 2, 5, 4, 5, 2, 4, 4, 5, 4, 5, 5, 4, 2, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4], "5991": [3, 4, 5, 4, 2, 3, 4, 3, 4, 4, 5, 5, 5, 5, 3, 2, 5, 4, 4, 3, 5, 1, 4, 4, 3, 5, 1, 1, 5, 2, 2, 2, 4, 4, 5, 2, 2, 4, 2, 4, 5, 2, 1, 3, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 5, 3, 1, 3, 5, 3, 3, 1, 2, 5, 3, 2, 4, 2, 3, 4, 4, 5, 2], "4979": [1, 3, 3, 2, 2, 3, 3, 2, 4, 5, 5, 3, 2, 2, 1, 3, 4, 4, 2, 4, 3, 4, 2, 1, 4, 1, 1, 1, 2, 5, 2, 1, 1, 1, 1, 4, 5, 5, 2, 2, 4, 4, 3, 3, 1, 3, 4, 5, 5, 2, 5, 4, 5, 1, 5, 4, 1, 4, 3, 5, 3, 1, 1, 1, 2, 4, 5, 1, 5, 5, 4, 1, 3, 3, 1, 5, 3, 4, 2, 2, 2, 3, 3, 4, 2, 3, 1, 5, 3, 5, 4, 3, 1, 1, 1, 1, 3, 3, 3, 2, 1, 1, 1, 1, 4, 5, 4, 4, 5, 5, 3, 2, 1, 1, 3, 5, 3, 2, 1, 5, 2, 2, 1, 4, 2, 3, 3, 4, 4, 3, 2, 1, 1, 5, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 5, 1, 1, 5, 2, 1, 2, 4, 1, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 2, 1, 3, 5, 4, 3, 3, 2, 1, 3, 4, 3, 3, 4, 3, 2, 4, 1, 1, 3, 4, 4, 5, 3, 3, 5, 5, 2, 5, 2, 2, 1, 4, 5, 1, 5, 2, 4, 1, 2, 1, 3, 5, 4, 3, 1, 2, 3, 4, 4, 3, 2, 4, 4, 4, 2, 5, 2, 1, 4, 5, 1, 5, 4, 4, 5, 3, 4, 5, 2, 2, 3, 3, 3, 1, 2, 4, 4, 1, 2, 4, 4, 1, 1, 1, 5, 2, 4, 3, 4, 3, 3, 4, 1, 2, 3, 1, 2, 4, 2, 2, 3, 4, 4, 2, 1, 3, 3, 5, 2, 1, 4, 1, 1, 1, 2, 2, 1, 3, 3, 5, 4, 4, 5, 5, 3, 3, 1, 3, 3, 3, 1, 3, 3, 1, 5, 2, 3, 1, 1, 1, 3, 5, 4, 2, 4, 3, 5, 1, 4, 4, 3, 3, 4, 4, 4, 1, 2, 3, 1, 1, 4, 2, 5, 4, 1, 4, 5, 1, 3, 5, 5, 3, 1, 3, 1, 1, 1, 1, 2, 1, 3, 3, 4, 4, 5, 2, 1, 4, 1, 1, 2, 5, 1, 3, 2, 2, 4, 4, 2, 4, 1, 1, 4, 4, 1, 4, 5, 5, 1, 5, 3, 5, 5, 5, 5, 5, 1, 5, 1, 5, 5, 1, 4, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 1, 1, 5, 1, 5, 1, 1, 3, 3, 4, 5, 3, 2, 2, 4, 4, 5, 1, 3, 3, 3, 2, 4, 5, 3, 4, 2, 3, 1, 4, 1, 3, 1, 4, 3, 5, 5, 4, 4, 5, 5, 1, 3, 1, 1, 1, 3, 5, 4, 4, 4, 1, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 5, 4, 5, 3, 5, 5, 3, 1, 3, 2, 2, 4, 3, 2, 1, 1, 3, 1, 4, 1, 3, 1, 3, 3, 4, 5, 1, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 2, 1, 4, 4, 3, 4, 3, 1, 3, 2, 2, 3, 4, 5, 1, 3, 3, 4, 4, 1, 1, 1, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 1, 2, 5, 2, 1, 4, 4, 3, 5, 3, 1, 4, 1, 1, 3, 4, 3, 2, 5, 4, 3, 4, 4, 1, 1, 1, 1, 3, 3, 4, 2, 3, 1, 4, 5, 5, 5, 4, 2, 1, 5, 3, 2, 2, 1, 4, 2, 3, 1, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 2, 1, 4, 4, 2, 4, 3, 2, 3, 4, 3, 5, 3, 2, 1, 5, 4, 1, 3, 2, 4, 2, 5, 2, 5, 4, 2, 4, 5, 3, 2, 3, 4, 4, 3, 2, 1, 2, 5, 5, 3, 4, 2, 3, 1, 2, 2, 4, 5, 1, 4, 5, 5, 5, 3, 4, 1, 1, 1, 4, 3, 4, 3, 1, 4, 5, 3, 4, 4, 1, 3, 4, 2, 4, 1, 4, 4, 5, 1, 2, 1, 4, 2, 4, 2, 1, 5, 3, 1, 1, 1, 3, 3, 3, 2, 5, 4, 3, 2, 4, 2, 4, 5, 2, 1, 4, 3, 5, 2, 5, 4, 2, 3, 5, 2, 2, 2, 3, 1, 5, 2, 2, 4, 2, 2, 3, 3, 2, 4, 3, 5, 2, 4, 5, 4, 3, 4, 1, 1, 1, 4, 5, 3, 3, 3, 1, 1, 2, 3, 4, 1, 3, 3, 3, 3, 5, 4, 3, 5, 1, 4, 5, 3, 5, 1, 4, 4, 4, 4, 4, 5, 3, 5, 5, 3, 4, 4, 1, 2, 4, 4, 4, 3, 3, 3, 5, 2, 4, 4, 3, 4, 1, 2, 2], "5355": [2, 2, 4, 4, 4, 5, 5, 3, 2, 5, 3, 4, 3, 2, 4, 4, 4, 4, 4, 2, 4, 5, 3, 5, 3, 4, 3, 3, 3, 3, 5, 4, 4, 4, 2, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 2, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 4, 5, 3, 5, 4, 5, 4, 2, 5, 2, 2, 5, 4, 3, 4, 4, 5, 3, 4, 3, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 2, 3, 5, 4, 4, 4, 4, 2, 3, 3, 3, 4], "2741": [4, 5, 2, 5, 5, 5, 4, 5, 2, 4, 5, 2, 4, 4, 2, 1, 5, 3, 5, 4, 2, 5, 4], "656": [3, 5, 1, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 5, 3, 5, 3, 4, 4, 5, 2, 5, 2, 5, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5, 5, 3, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 5, 4, 3, 5, 5, 3, 5, 4, 4, 4, 1, 3, 5, 3, 4, 1, 2, 4, 5, 3, 4, 4, 4, 2, 4, 5, 3, 4, 3, 4, 5, 5, 4, 2, 4, 1, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 3, 3, 5, 3, 5, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 2, 3, 3, 5], "3912": [5, 5, 4, 5, 1, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 2, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 2, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5], "3641": [4, 2, 1, 3, 5, 4, 5, 4, 3, 3, 3, 4, 2, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 2, 4, 3, 5, 4, 4, 5, 4, 3, 4, 2, 5, 4, 4, 2, 4, 4, 5, 3, 3, 4, 4, 4, 3, 2, 4, 5, 2, 5, 4, 2, 5, 4, 5, 5, 3, 2, 3, 4, 4, 5, 4, 3, 3, 2, 4, 4, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 3, 2, 3, 5, 3, 3, 4, 5, 3, 4, 4, 1, 5, 3, 2, 4, 4, 3, 5, 4, 3, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 1, 1, 4, 3, 3, 4, 3, 5, 3, 3, 4, 5, 3, 4, 2, 3, 5, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 3, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 5, 2, 5, 3, 5, 4, 2, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 1, 5, 4, 2, 3, 4, 4, 4, 3, 2, 4, 2, 5, 4, 5, 5, 4, 4, 4, 2, 5, 5, 4, 3, 5, 3, 3, 3, 4, 5, 2, 4, 3, 2, 3, 2, 5, 1, 5, 3, 3, 4, 4, 4, 5, 4, 5, 3, 5, 3, 1, 2, 4, 2, 1, 5, 1, 3, 4, 1, 1, 5, 4, 5, 1, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 3, 4, 4, 2, 4, 3, 5, 4, 4, 1, 5, 3, 1, 2, 5, 3, 5, 3, 5, 5, 4, 5, 3, 4, 5, 4, 2, 4, 5, 4, 4, 4, 5, 4, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 2, 5, 5, 5, 3, 4, 2, 3, 3, 5, 4, 4, 5, 3, 2, 2, 5, 4, 5, 5, 5, 4, 3, 1, 3, 4, 3, 3, 3, 2, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 5, 5, 3, 5, 4, 5, 4, 4, 2, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 2, 4], "154": [5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 2, 3, 4, 2, 3, 4], "1719": [3, 4, 2, 2, 5, 1, 2, 3], "1453": [3, 3, 5, 5, 2, 3, 4, 4, 3, 4], "452": [4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 3, 5, 5, 2, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 2, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5], "328": [2, 4, 3, 4, 2, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 3, 4, 4, 3, 2, 2, 4, 3, 2, 3, 4], "3988": [5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 5, 5, 3, 3, 1, 2, 4, 4, 2, 3, 4, 2, 5, 5, 4, 2, 3, 4, 5, 4, 3, 2, 2, 4, 4, 4, 4, 1, 4, 5, 5, 4, 2, 3, 5, 3, 5, 3, 5, 4, 1, 2, 3, 3, 1, 5, 5, 5, 3, 3, 3, 5, 4, 4, 4, 5, 5, 2, 4, 5, 4, 5, 3, 3, 2, 3, 2, 5, 1, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 4, 3, 4, 5, 4, 5, 5, 2, 5, 2, 5, 2, 4, 2, 2, 3, 5, 5, 5, 5, 2, 2, 5, 3, 5, 4, 5, 3, 4, 5, 4, 4, 3, 5, 3, 4, 4, 1, 3, 2, 4, 4, 3, 4, 2, 3, 2, 3, 5, 2, 5, 5, 4, 4, 5], "4030": [3, 4, 4, 3, 3, 4, 4, 5, 4, 2, 2, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 2, 5, 4, 4, 3, 4, 4, 2, 4, 4, 2, 5, 4, 4, 3, 2, 4, 2, 2, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 2, 3, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 2, 3, 2, 4, 4, 3, 2, 2, 3, 3, 5, 4, 4, 2, 5, 4, 2, 3, 2, 4, 2, 3, 3, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4], "2098": [4, 1, 4, 4, 4, 5, 5, 3, 4, 4, 3, 2, 3, 4, 3, 2, 5, 3, 4, 4, 4, 2, 2, 3, 2, 2, 4, 3, 5, 4, 2, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 2, 4, 2, 2, 4, 5, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 2, 4, 3, 5, 1, 5, 1, 3, 1, 2, 3, 4, 4, 2, 3, 3, 3, 5, 3, 1, 4, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 2, 4, 3, 3, 4, 2, 4, 2, 4, 1, 2, 3, 4, 3, 3, 4, 1, 3, 4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 4, 2, 2, 5, 3, 3, 5, 3, 2, 4, 2, 3, 4, 2, 4, 4, 4, 3, 3, 5, 5, 5, 4, 2, 1, 3, 1, 3, 2, 4, 1, 4, 3, 4, 4, 3, 3, 5, 2, 3, 3, 4, 4, 3, 4, 2, 3, 2, 2, 3, 3, 3, 2, 1, 4, 4, 1, 2, 3, 1, 3, 4, 4, 5, 1, 4, 4, 5, 5, 4, 4, 3, 2, 2, 3, 3, 5, 5, 3, 4, 5, 4, 3, 4, 2, 2, 2, 3, 5, 3, 5, 4, 4, 3, 2, 2, 4, 3, 5, 3, 5, 4, 3, 4, 1, 5, 3, 1, 4, 4, 4, 3, 4, 2, 4, 3, 2, 3, 2, 4, 4, 3, 5, 2, 3], "5974": [4, 3, 2, 4, 4, 2, 3, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 2, 4, 2, 3, 3, 4, 2, 5, 4, 2, 2, 2, 3, 5, 5, 4, 4, 3, 3, 2, 3, 2, 4, 5, 4, 5, 3, 3, 2, 5, 3, 3, 2, 3, 5, 5, 4, 3, 3, 2, 3, 2, 3, 5, 3, 1, 2, 3, 4, 3, 5, 4, 2, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 2, 3, 5, 3, 4, 5, 3, 2, 3, 5, 3, 4, 3, 3, 2, 2, 5, 4, 2, 4, 3, 3, 5, 5, 5, 5, 3, 5, 2, 3, 4, 3, 4, 5, 1, 2, 5, 2, 2, 5, 4, 4, 3, 3, 2, 4, 2, 2, 2, 4, 3, 1, 2, 3, 3, 5, 4, 4, 5, 4, 2, 3, 3, 3, 5, 3, 2, 2, 4, 3, 5, 5, 3, 3, 3, 5, 4, 3, 4, 3, 5, 4, 2, 2, 4, 5, 3, 3, 3, 2, 3, 4, 5, 2, 4, 4, 5, 3, 3, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 1], "3239": [4, 2, 2, 4, 4, 4, 1, 4, 3, 4, 4, 4, 5, 1, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 5, 3, 4, 3, 4, 4, 3, 3, 4, 2, 5, 2, 4, 5, 5, 2, 5, 4, 1, 5, 4, 3, 3, 4], "3365": [3, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 3, 5, 3, 3, 3, 5, 5, 2, 3, 5, 3, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 3, 3, 3, 3, 5, 4, 3, 5, 3, 3, 2, 4, 5, 5, 4, 5, 2, 4, 3, 5, 4, 5, 3, 5, 3, 4, 4, 2, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 2, 5, 3, 3, 3, 3, 4, 5, 4, 3, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 2, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 5, 3, 5, 4, 3, 4, 4, 5, 4, 3, 5, 5, 2, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 2, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 4, 3, 4, 3, 5, 5, 2, 2, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 3, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 5, 3, 5, 4, 3, 3, 3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 3], "4549": [4, 2, 3, 3, 3, 4, 4, 5, 5, 4, 4, 2, 3, 3], "3398": [3, 4, 2, 5, 3, 5, 4, 3, 4, 5, 2, 3, 4, 3, 5, 5, 3, 5, 3, 2, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 5, 3, 3, 5, 4, 5, 4, 4], "2745": [3, 4, 5, 4, 4, 2, 5, 3, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 3, 5, 5, 4, 5, 3, 4, 3, 5, 5, 4, 4, 3, 3, 5, 4, 3, 5, 4, 4, 5, 4, 2, 3, 4, 5, 4, 2, 3, 3, 3, 2, 4, 3, 1, 5, 4, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 2, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 2, 4, 4, 3, 4, 5, 4, 5, 5], "5778": [5, 4, 4, 5, 2, 5, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 2, 2, 5, 3, 4, 5, 5, 4, 5, 5, 5, 3, 4, 2, 5, 5, 5], "5122": [3, 5, 5, 4, 5, 5, 4, 3, 4, 4], "2418": [3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 3, 4, 5, 3, 2, 3, 1, 4, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3, 4, 3, 3, 4, 2, 2, 5, 1, 3, 4, 4, 3, 4, 3, 3, 4], "4253": [4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 2, 3, 5, 3, 4, 4, 3, 5, 4, 3, 5, 5, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 2, 3, 3, 5, 2, 4, 1, 4, 3, 3, 2, 3, 4, 3, 5, 4, 5, 3, 4, 4, 2, 5, 3, 2, 3, 5, 3, 4, 3, 4, 3, 2, 4, 2, 5, 4, 4, 5, 5, 4, 3, 2, 4, 3, 3, 5, 4, 2, 2, 4, 5, 4, 5, 3, 3, 5, 3, 2, 2, 4, 3, 2, 2, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 2, 2, 4, 3, 5, 3, 3, 3, 3, 5, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 4, 3, 3, 4, 5, 4, 2, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 3, 5, 4, 3, 2, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 2, 4, 3, 3, 3, 3, 2, 1, 4, 3, 4, 5, 2, 4, 2, 3, 4, 3, 4, 2, 1, 3, 2, 2, 3, 3, 4, 5, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 3, 4, 3, 4, 3, 2, 3, 5, 3, 3, 3, 5, 5, 5, 4, 2, 4, 4, 3, 3, 2, 2, 1, 4, 4, 2, 3, 1, 4, 5, 4, 3, 5, 4, 2, 4, 5, 5, 3, 2, 3, 3, 2, 3, 4, 4, 3, 5, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 4, 3, 2, 3, 3, 3, 4, 4, 3, 2, 3, 5, 2], "2552": [3, 4, 5, 3, 5, 3, 5, 5, 4, 4, 3, 2, 4, 4, 5, 4, 4, 5, 2, 4, 3, 4, 5, 2, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 1, 4, 4, 5, 4, 3, 4, 5, 2, 4, 3, 5, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 1, 2, 4, 4, 1, 3], "1570": [4, 4, 5, 4, 3, 4, 5, 3, 3, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 3, 3, 1, 3, 2, 1, 5, 2, 5, 3, 4, 3, 5, 3, 2, 5, 5, 3, 3, 3, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 5, 3, 4, 2], "2009": [5, 5, 4, 4, 1, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5], "1600": [4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 3, 3, 2, 5, 4, 4, 3, 3, 3, 4, 2, 5, 5, 4, 1, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 2, 4, 3, 4, 1, 4, 4, 1, 2, 4, 5, 4, 4, 4, 3, 5, 4, 3, 2, 3, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 1, 5, 4, 3, 2, 5, 5, 1, 3, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 1, 4, 2, 3, 3, 4, 4, 5, 2, 5, 4, 5, 4, 4, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 4, 1, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4, 3, 4, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 2, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 3, 2, 3, 4, 5, 2, 5, 4, 3, 3, 5, 2, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 4, 3, 2, 3, 3, 5, 2, 5, 3, 4, 4, 4, 2, 3, 1, 2, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 3, 2, 3, 4, 4, 4, 2, 2, 3, 3, 4, 4, 2, 2, 3, 4, 4, 3, 5, 5, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 2, 3, 3, 3, 2, 5, 5, 4, 5, 5, 3, 3, 4, 3, 4, 4, 3, 1, 5, 4, 4, 3, 4, 1, 1, 3, 3, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 1, 2, 3, 3, 4, 5, 1, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 2, 5, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 2, 3, 5, 5, 3, 5], "1421": [5, 5, 5, 1, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 3, 3, 3, 5, 4, 1, 4, 3, 5, 3, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 2, 2, 4, 1, 3, 2, 3, 4, 4, 5, 3, 4, 3, 3, 4, 2, 3, 3, 3, 4, 2, 2, 1, 5, 5, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 3, 2, 1, 4, 1, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3], "4318": [4, 3, 4, 2, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 1, 3, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 2, 2, 5, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 2, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 3, 4, 3, 2, 5, 4, 4, 3, 4, 4, 4, 2, 3, 3, 5, 4, 4, 4, 5, 1, 4, 4, 5, 3, 5, 4, 5, 3, 4, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 5, 2, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 2, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 4, 5, 4, 2, 5, 4, 4, 4, 4, 1, 3, 3, 3, 4, 4, 5, 4, 2, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 3, 3, 5, 4, 3, 3, 3, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 5, 3, 4, 2, 3, 4, 4, 4, 5, 4, 2, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5], "5152": [4, 4, 3, 3, 5, 2, 2, 2, 5, 2, 2, 4, 3, 5, 5, 5, 3, 4, 4, 2, 1, 4, 2, 3, 2], "3377": [3, 4, 5, 4, 5, 5, 4, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 2, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 5, 5, 3, 4, 4, 4, 3, 5, 3, 5, 4, 4, 3, 4, 4], "1887": [3, 3, 4, 3, 5, 5, 5, 3, 4, 3, 3, 2, 5, 3, 5, 4, 5, 5, 3, 3, 5, 2, 2, 4, 3, 2, 3, 4, 2, 3, 4, 2, 2, 2, 1, 4, 3, 5, 2, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 5, 3, 4, 2, 4, 2, 4, 2, 1, 2, 4, 2, 4, 1, 4, 4, 3, 3, 3, 2, 3, 5, 5, 2, 4, 3, 3, 3, 3, 3, 5, 3, 4, 4, 2, 3, 3, 3, 4, 4, 3, 2, 4, 3, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3], "1809": [3, 5, 3, 2, 1, 2, 5, 4, 4, 4, 4, 4], "864": [3, 5, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 4, 5, 2, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 3, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 4, 1, 5, 5, 3, 3, 3, 4, 4, 4, 5, 4, 5, 2, 5, 3, 5, 3, 4, 5, 4, 4, 5, 5, 3, 2, 4, 3, 5, 4, 5, 3, 4, 2, 1, 5, 5, 5, 3, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 5, 3, 5, 2, 5, 5, 5, 5, 2, 5], "564": [5, 4, 5, 5, 4, 4, 2, 5, 5, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 2, 2, 5, 4, 2, 5, 4, 5, 3, 4, 2, 5, 2, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 5], "3124": [4, 5, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3], "4439": [3, 5, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 4], "3090": [1, 5, 4, 2, 5, 4, 5, 3, 5, 3, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 3, 5, 5, 3, 4, 5, 1, 3, 4, 3, 5, 4, 1, 4, 4, 1, 1, 1, 3, 5, 1, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 5, 4], "3210": [5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4], "5414": [3, 4, 5, 4, 3, 5, 2, 5, 4, 2, 4, 4, 4, 3, 5, 2, 3, 4, 5, 3, 5, 5, 3, 1, 1, 4, 3, 3, 1, 5, 2, 5, 4, 4, 4, 2, 5, 1, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 3, 2, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4], "5100": [5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 1, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 1, 4, 5, 1, 3, 5, 4, 5, 4, 5, 4, 1, 4, 5, 2, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 1, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 4, 4, 1, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 2, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 3, 5, 5, 5, 3, 3, 2, 3, 5, 3, 4, 5, 5, 3, 5, 5, 5, 3, 4, 5, 4, 3, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 2, 5, 2, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 2, 4, 4, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 1, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 2, 5, 4, 4, 5, 4, 5, 5, 2, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 2, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 5, 5, 5, 2, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 3, 4, 4, 5, 5, 3, 5, 3, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 2, 5, 4, 5, 3, 3, 3, 1, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 2, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 2, 5, 5, 4, 3, 3, 4, 4, 5, 5, 2, 3, 5, 4, 5, 3, 3, 3, 4, 3, 1, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 3, 4, 3, 5, 5, 3, 4, 4, 4, 5, 2, 4, 3, 4, 3, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 2, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 2, 5, 5, 5, 1, 5, 5, 4, 5, 5, 5, 4, 5, 1, 4, 2, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 1, 4, 5, 3, 3, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 5, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 2, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 3, 4, 5], "4377": [4, 5, 2, 4, 3, 3, 3, 4, 1, 4, 5, 3, 4, 3, 5, 4, 1, 4, 5, 1, 2, 5, 4, 2, 5, 4, 5, 4, 4, 2, 4, 4, 4, 5, 5, 2, 2, 4, 5, 4, 3, 5, 1, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 5, 5, 3, 5, 3, 4, 5, 4, 2, 2, 4, 5, 3, 4, 3, 2, 5, 3, 3, 4, 3, 4, 3, 4, 3, 1, 5, 2, 4, 2, 4, 5, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 5, 1, 2, 4, 2, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 2], "2875": [1, 5, 4, 5, 1, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5], "3543": [4, 3, 3, 4, 4, 5, 4, 3, 5, 3, 4, 3, 1, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 2, 4, 3, 5, 2, 5, 4, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 5, 1, 4, 5, 3, 3, 4, 4, 3, 5, 4, 2, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 5, 2, 3, 4, 3, 3, 1, 4, 3, 3, 3, 4, 2, 5, 3, 5, 4, 3, 5, 5, 5, 5, 5, 4, 3, 2, 4, 3, 5, 3, 5], "3700": [4, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 1, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 2, 4], "2419": [3, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 3, 3, 4, 4, 5, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 2, 3, 3, 1, 4, 2, 4, 3, 2, 1, 4, 3, 3, 5, 4, 3, 2, 2, 4, 3, 4, 4, 3, 5, 4, 2, 3, 1, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 1, 4, 3, 2, 3, 2, 3, 3, 4, 3, 3, 5, 3, 2, 5, 3, 3, 4, 4, 3, 3, 5, 2, 2, 4, 3, 2, 5, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 2, 5, 4, 4, 2, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 5, 3, 2, 3, 4, 3, 4, 5, 5, 3, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 1, 4, 5, 3, 4, 4, 3, 4, 4, 2, 3, 4, 3, 1, 4, 1, 4, 5, 4, 2, 4, 2, 2, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 2, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 4, 3, 1, 5, 3, 2, 4, 4, 3, 3, 4, 3, 3, 4, 2, 2, 3, 2, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 2, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 2, 1, 4, 1, 3, 4, 3, 3, 2, 4, 4, 4, 4, 5, 3, 3, 3, 2, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4], "2655": [2, 5, 3, 4, 3, 2, 2, 4, 1, 2, 4, 5, 3, 2, 4, 4, 4, 4], "3230": [5, 5, 4, 5, 3, 3, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 3, 3, 5, 1, 3, 3, 4, 5, 3, 5, 4, 3, 2, 5, 1, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 5, 2, 3, 3, 5, 5, 4, 5, 3, 5, 2, 4, 5, 5, 5, 3, 5], "5204": [1, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 1, 4, 4, 5, 5, 1, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 3], "1011": [3, 4, 2, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 5, 5, 3, 2, 4, 4, 5, 4, 3, 4], "1875": [4, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 1, 5, 5, 3, 3, 4, 4, 3, 5, 3, 5, 5, 3, 5, 4, 5, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 3, 4, 2, 4, 3, 4, 4, 5, 3, 2, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 2, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 1, 3, 4, 4, 3, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 3, 3, 1, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 4, 5, 4, 4, 3, 5, 2, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 3, 3, 4], "2594": [4, 4, 4, 4, 3, 5, 1, 1, 4, 4, 3, 3, 3, 3, 1, 2, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 5, 4, 3, 2, 4, 4, 2, 4, 4, 4, 4, 4], "846": [3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 3, 1, 3, 4, 3, 5, 4, 3, 2, 5, 5, 3, 4, 3, 2, 3, 5, 4, 4, 4, 3, 3, 4, 4, 1, 1, 4, 4, 4, 1, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 2, 1, 5, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 5, 4, 2, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 2, 5, 4, 2, 4, 4, 2, 4, 5, 3, 2, 5, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 5, 3, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 5, 2, 2, 2, 4, 4, 5, 1, 4, 4, 4, 3, 5, 4, 4, 3, 2, 3, 4, 5, 4, 4, 5, 2, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 2, 4, 5, 4, 4, 2, 5, 5, 4, 4, 5, 5, 5, 4, 2, 5, 3, 3, 3, 3, 5, 5, 5, 4, 5, 3, 5], "70": [5, 4, 4, 5, 5, 3, 5, 5, 3], "727": [3, 4, 4, 3, 5, 5, 1, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 2, 5, 5, 3, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 2, 5, 4, 5, 4, 4, 3, 5, 3, 2, 3, 5, 3, 3, 5, 3, 4, 3, 4, 5, 4, 4, 3, 5, 4, 5, 5, 3, 4, 3, 5, 2, 5, 4, 3, 3, 3, 3, 3, 5, 3, 4, 5, 5, 4, 3, 2, 3, 5, 4, 2, 5, 2, 3, 5, 3, 3, 4, 5, 4, 5, 5, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 5, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 4, 3, 5, 3, 2, 2, 4, 3, 4, 5, 5, 2, 3, 4, 3, 5], "4314": [3, 3, 3, 3, 5, 2, 3, 3, 5, 3, 4, 4, 4, 3], "2773": [4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 4, 5, 3, 4, 3, 5, 3, 5, 4, 5, 5, 1, 5, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 5, 5, 5, 2, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5], "3711": [4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 3, 1, 4, 5, 5, 3, 5, 4, 5, 4, 4, 4, 1, 3, 5, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5], "610": [5, 1, 1, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 2, 4, 5, 5, 3, 2, 2, 1, 3, 4, 3, 2, 1, 1, 2, 3, 3, 2, 4, 3, 4, 4, 5, 3, 5, 4, 5, 2, 2, 4, 4, 3, 2, 4, 3, 2, 1, 5, 5, 5, 4, 3, 5, 3, 3, 4, 3, 2, 5, 5, 3, 3, 5, 4, 4, 2, 5, 2, 5, 3, 1, 1, 2, 5, 5, 3, 3, 4, 4, 2, 5, 1, 3, 2, 5, 2, 4, 5, 3, 1, 1, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 1, 3, 3, 5, 5, 3, 5, 2], "5061": [2, 4, 3, 4, 4, 5, 4, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 2, 3, 4, 4, 4, 3, 4, 2, 5, 5, 5, 3, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 2, 4, 1, 4, 2, 4, 4, 2, 1, 3, 2, 4, 3, 2, 3, 3, 3, 4, 2, 4, 5, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 4, 5, 4, 5, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 1, 4, 3, 2, 1, 5, 1, 4, 3, 5, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 4, 5, 4, 5, 3, 4, 3, 5, 2, 3, 5, 4, 4, 5, 3, 3, 4, 3, 1, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 1, 4, 3, 4, 4, 5, 3, 5, 5, 4, 3, 5], "526": [4, 4, 5, 5, 3, 4, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4], "5211": [3, 4, 5, 3, 2, 2, 5, 3, 5, 4, 5, 4, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 2, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 2, 3, 2, 2, 4, 4, 4, 4, 2], "156": [5, 5, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 1, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4], "536": [5, 5, 5, 4, 5, 5, 5, 2, 5, 3, 3, 1, 5, 4, 5, 4, 3, 4, 5, 2, 5, 4, 4, 3, 4, 4, 5, 4, 4, 2, 4, 5, 4, 1, 5, 4, 5, 5, 2, 4, 2, 5, 4, 4, 5, 5, 4, 5, 3, 5, 1, 4, 5, 5, 4, 5, 3, 2, 3, 3, 3, 5, 4, 5, 5, 5, 2, 5, 4, 4, 1, 4, 2, 4, 4, 5, 3, 4, 5, 5, 2, 5, 4, 3, 1, 4, 5, 4, 5, 5, 3, 3, 2, 4, 3, 4, 4, 5, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 5, 2, 4, 5, 4, 2, 3, 2, 4, 4, 3, 5, 4, 4, 3, 2, 4, 3, 5, 5, 2, 4, 5, 3, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 3, 4, 2, 4, 3, 4, 4, 4, 5, 4, 5, 4], "1684": [4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3], "3391": [4, 5, 4, 4, 5, 3, 3, 4, 2, 5, 4, 2, 4, 5, 5, 3, 5, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 2, 2, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 2, 2, 5, 5, 4, 4, 4, 1, 5, 5, 4, 4, 5, 3, 3, 4, 4, 3, 1, 5, 4, 5, 3, 4, 5, 5, 3, 1, 4, 4, 2, 3, 3, 5, 3, 5, 4, 4, 2, 5, 1, 5, 3, 1, 2, 3, 2, 3, 4, 3, 4, 5, 3, 5, 5, 4, 3, 3, 5, 4, 4, 3, 5, 4, 3, 4, 3, 1, 1, 4, 2, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 2, 5, 4, 5, 5, 3, 4, 5, 3, 4, 3, 5, 5, 4, 3, 3, 3, 3, 4, 2, 3, 4, 2, 5, 3, 5, 4, 2, 4, 2, 3, 4, 4, 3, 5, 2, 1, 4, 5, 5, 5, 3, 2, 2, 5, 4, 4, 4, 2, 5, 5, 5, 4, 4, 3, 5, 4, 1, 3, 5, 3, 3, 4, 5, 5, 3, 4, 4, 5, 3, 2, 2, 5, 3, 5, 5, 4, 5, 4, 1, 4, 4, 5, 5, 5, 2, 5, 2, 2, 5, 5, 4, 5, 5, 1, 3, 4, 5, 4, 2, 2, 2, 3, 5, 5, 5, 4, 2, 4, 2, 3, 1, 4, 3, 4, 1, 5, 4, 5, 3, 3, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 1, 4, 3, 4, 5, 3, 2, 3, 4, 4, 5, 4, 4, 3, 3, 4, 2, 4, 3, 1, 4, 3, 3, 5, 4, 5, 4, 4, 4, 2, 5, 5, 5, 3, 1, 2, 5, 3, 3, 5, 5, 5, 3, 5, 4, 5, 2, 4, 3, 3, 4, 3, 5, 4, 5, 2, 3, 2, 3, 3, 3, 5, 5, 5, 1, 5, 4, 4, 4, 3, 4, 5, 4, 2, 5, 5, 2, 3, 4, 4, 4, 3, 2, 4, 5, 4, 2, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 4, 1, 5, 4, 4, 5, 4, 4, 1, 4, 5, 5, 4, 4, 4, 3, 3, 5, 2, 3, 3, 3, 1, 2, 2, 3, 4, 5, 5, 2, 4, 3, 5, 5, 3, 5, 3, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 3, 3, 2, 3, 3, 5, 3, 5, 2, 5, 3, 5, 2, 4, 5, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 1, 5, 5, 3, 3, 2, 4, 4, 3, 5, 5, 4, 2, 5, 4, 3, 3, 2, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 3, 4, 2, 3, 3, 3, 3, 5, 5, 5, 4, 4, 5, 1, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 2, 4, 3, 4, 3, 4, 5, 3, 5, 3, 3, 5, 5, 5, 5, 3, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 1, 5, 4, 4, 3, 5, 3, 1, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 2, 4, 5, 4, 3, 3, 5, 4, 4, 2, 3, 4, 4, 4, 2, 5, 4, 3, 5, 5, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 1, 3, 3, 4, 4, 1, 3, 2, 4, 5, 1, 2, 4, 3, 5, 5, 4, 5, 3, 4, 3, 4, 5, 5, 5, 5, 5, 5, 1, 5, 2, 5, 2, 5, 1, 4, 2, 5, 2, 5, 1, 4, 4, 4, 2, 3, 5, 5, 5, 5, 2, 3, 5, 1, 3, 4, 4, 3, 1, 5, 3, 1, 4, 5, 3, 4, 4, 5, 5, 4, 3, 4, 3, 3, 5, 2, 4, 5, 5, 2, 5, 4, 5, 4, 5, 4, 2, 5, 4, 1, 3, 4, 5, 3, 3, 2, 4, 3, 3, 3, 5, 4, 1, 2, 2, 2, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 2, 3, 5, 4, 5, 4, 5, 5, 1, 1, 5, 5, 4, 5, 5, 2, 4, 3, 5, 4, 3, 5, 2, 5, 2, 3, 4, 4, 4, 1, 4, 3, 4, 5, 4, 3, 1, 4, 2, 1, 5, 2, 4, 2, 3, 1, 4, 4, 2, 3, 3, 5, 5, 4, 5, 4, 5, 4, 2, 4, 2, 3, 4, 2, 4, 3, 5, 3, 5, 4, 4, 5, 3, 5, 3, 3, 4, 5, 5, 2, 5, 2, 4, 1, 5, 5, 2, 4, 3, 5, 4, 5, 5, 3, 4, 3, 4, 4, 3, 5, 3, 5, 3, 4, 4, 3, 5, 5, 4, 1, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 3, 2, 3, 5, 5, 3, 4, 5, 4, 1, 5, 4, 4, 1, 3, 5, 5, 4, 4, 2, 5, 4, 5, 1, 5, 4, 2, 4, 4, 5, 4, 5, 3, 5, 3, 4, 4, 2, 5, 3, 3, 2, 2, 3, 5, 3, 5, 5, 2, 3, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 1, 3, 4, 3, 4, 1, 3, 5, 2, 4, 2, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 4, 5, 4, 5, 4, 5, 3, 2, 2, 5, 4, 1, 5, 5, 4, 3, 4, 5, 2, 2, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 3, 3, 5, 4, 1, 5, 4, 5, 5, 5, 5, 5, 2, 4, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 1, 5, 3, 5, 4, 5, 3, 5, 4, 4, 1, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 4, 3, 2, 5, 5, 5, 5, 5, 2, 2, 5, 4, 3, 2, 4, 5, 5, 3, 5, 4, 4, 3, 3, 4, 3, 5, 5, 5, 3, 2, 3, 4, 3, 3, 3, 4, 5, 3, 5, 2, 4, 5, 5, 4, 5, 4, 5], "4824": [2, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 2, 4, 4, 5, 4, 3, 5, 4, 4, 2, 3, 2, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 1, 3, 3, 4, 5, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 1, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 3, 5, 4, 3, 4, 5, 5, 2, 4, 2, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 3], "5552": [1, 3, 3, 2, 3, 2, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 3, 4, 4, 1, 3, 4, 4, 4, 2, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 4, 2, 5, 4, 5, 4, 3, 3, 3, 3, 2, 5, 2, 5], "5069": [4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4], "93": [3, 4, 3, 4, 4, 2, 5, 4, 3, 5, 4, 1, 4, 1, 5, 3, 4, 5, 3, 4, 4, 1, 3, 4, 4, 5, 4, 3, 1, 3, 3, 3, 1, 4, 3, 1, 4, 4, 3, 3, 4, 2, 3, 3, 1, 2, 2, 3, 3, 2, 1, 3, 2, 5, 3, 3, 3, 5, 4, 1, 3, 1, 2, 1, 3, 3, 2, 5, 2, 3, 4, 3, 4, 3, 1, 3, 4, 1, 1, 4, 1, 2, 3, 1, 1, 4, 2, 3, 3, 2, 2, 2, 1, 3, 1, 1, 3, 3, 2, 2, 2, 4, 1, 1, 3, 3, 4, 3, 4, 3, 4, 3, 2, 1, 1, 4, 1, 3, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 1, 5, 4, 4, 1, 4, 1, 4, 4, 3, 3, 4, 2, 4, 1, 2, 2, 3, 4, 2, 5, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 1, 5, 5, 3, 3, 1, 2, 4, 1, 4, 5, 4, 3, 3, 5], "1534": [4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 1, 1, 4, 5, 4], "1454": [4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 3, 4, 3, 5, 5], "2975": [4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 3], "1021": [4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 5], "2231": [3, 5, 4, 3, 5, 4, 4, 4, 3, 3, 3, 5, 3, 3, 2, 3, 4, 4, 5, 5, 5, 4, 3, 5, 2, 5, 4, 5, 3, 3, 5, 3, 5, 3, 3, 5, 3, 2, 5, 5, 3, 5, 5, 5, 3, 3, 3, 5, 4, 2, 4, 3, 3, 3, 2, 4, 3, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 3, 5, 5, 5, 5, 2, 5, 3, 4, 3, 3, 5, 2, 3, 2, 5, 4, 3, 5, 2, 4, 5, 4, 4, 4, 3, 5, 4, 3, 3, 5, 4, 2, 4, 5, 3, 4, 3, 4, 3, 3, 2, 5, 4, 4, 3, 3, 5, 3, 5, 3, 4, 3, 4, 3, 3, 5, 5, 4, 2, 4, 2, 3, 5, 3, 4, 3, 4, 2, 2, 2, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 2, 4, 5, 3, 5, 5, 3, 5, 3, 3, 4, 5, 3, 2, 3, 3, 5, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 4, 3, 5, 2, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 3, 3, 3, 5, 4, 3, 5, 3, 5, 3, 3, 2, 3, 4, 3, 5, 4, 3, 4, 2, 5, 2, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 5, 5, 4, 2, 3, 4, 3, 3, 4, 3, 4, 2, 5, 3, 3, 3, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 5, 4, 2, 3, 2, 5, 4, 4, 3, 4, 5, 3, 5, 3, 5, 4, 4, 4, 3, 2, 3, 4, 3, 3, 5, 4, 3, 5, 2, 2, 5, 3, 4, 3, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 5, 3, 4, 3, 5, 5, 3, 3, 3, 3, 5, 2, 3, 3, 3, 5, 3, 3, 2, 3, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 3, 1, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 2, 3, 4, 3, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 3, 5, 3, 3, 3], "5147": [4, 3, 5, 4, 3, 5, 5, 3, 3, 4, 3, 3, 5, 5, 1, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 2, 3, 5], "3261": [5, 3, 3, 5, 5, 5, 1, 5, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 5, 3, 4, 5, 1, 3, 5, 2, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 4, 3, 2, 4, 5, 3, 4, 2, 4, 1, 1, 5, 3, 2, 5, 4, 2, 4, 5, 2, 3, 3, 1, 3, 3, 3, 3, 3, 3, 4, 3, 1, 4, 2, 4, 4, 4, 4, 3, 1, 5, 3, 2, 3, 2, 3, 2, 2, 5, 3, 3, 3, 2, 1, 2, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 1, 4, 4, 2, 5, 4, 4, 3, 3, 3, 1, 4, 4, 1, 3, 5, 4, 4, 3, 5, 5, 2, 4, 3, 3, 3, 1, 3, 4, 3, 4, 4, 1, 4, 1, 5, 5, 3, 5, 2, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 1, 2, 3, 5, 4, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 1, 5, 2, 5, 3, 4, 5, 4, 5, 1, 3, 2, 2, 4, 4, 1, 5, 2, 1, 4, 4, 5, 2, 4, 3, 1, 3, 3, 4, 2, 4, 2, 2, 2, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 2, 3, 4, 2, 3, 3, 2, 2, 2, 5, 4, 3, 4, 3, 1, 4, 3, 2, 3, 2, 3, 4, 4, 4, 3, 2, 1, 2, 2, 1, 4, 1, 1, 4, 1, 5, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 1, 3, 5, 4, 2, 1, 4, 5, 2, 3, 5, 1, 5, 4, 2, 3, 3, 3, 2, 2, 3, 1, 3, 3, 5, 2, 1, 3, 2, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 4, 2, 5, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 1, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 4, 5, 4, 2, 5, 3, 3, 5, 4, 2, 4, 4, 2, 4, 1, 5, 4, 4, 3, 3, 3, 1, 4, 2], "3770": [4, 3, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 5, 2, 4, 5, 3, 4, 4, 5, 2, 5, 3, 5, 3, 5, 5, 5, 3, 4, 3, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 2, 3, 4, 2, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 5, 3, 5, 5, 4, 4, 5, 4, 4, 2, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 3, 3, 5, 4, 5, 2, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 2, 4, 4, 3, 4, 4, 5, 4, 2, 1, 3, 4, 3, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 2, 3, 3, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 3, 5, 5, 3, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5, 1, 3, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 3], "947": [4, 1, 4, 4, 2, 3, 1, 3, 1, 1, 2, 4, 3, 3, 5, 2, 4, 4], "2184": [5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4], "5495": [5, 3, 4, 4, 5, 2, 4], "927": [3, 3, 4, 4, 3, 4, 5, 1, 4, 5, 3, 3, 3, 2, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 4, 1, 4, 3, 5, 3, 4, 4, 3, 2, 3, 5, 2, 5, 5, 3, 5, 2, 3, 3, 4, 2, 4, 3, 3, 3, 2, 4, 5, 3, 2, 4, 5, 2, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 2, 4, 3, 3, 1, 1, 5, 3, 1, 2, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 5, 2, 4, 3, 5, 4, 3, 5, 3, 2], "4510": [3, 5, 2, 5, 3, 3, 3, 5, 3, 5, 2, 4, 3, 4, 2, 3, 3, 4, 2, 5, 4, 3, 4, 5, 3, 3, 1, 3, 2, 3, 1, 3, 3, 3, 2, 4, 2, 4, 1, 2, 4, 3, 2, 5, 2, 4, 4, 2, 2, 2, 3, 5, 3, 5, 2, 5, 3, 5, 3, 2, 4, 3, 3, 2, 3, 4, 3, 2, 3, 5, 4, 5, 5, 5, 3, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 2, 2, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 3, 3, 4, 2, 3, 2, 5, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 2, 4, 2, 3, 3, 4, 3, 5, 2, 4, 5, 4, 2, 3, 5, 3, 4, 3, 3, 3, 2, 3, 4, 2, 3, 3, 1, 2, 3, 2, 2, 3, 3, 3, 3, 5, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 3, 2, 3, 2, 2, 3, 2, 1, 2, 2, 3, 4, 3, 3, 2, 4, 2, 2, 1, 2, 4, 2, 2, 1, 1, 3, 3, 2, 4, 5, 5, 3, 2, 2, 4, 4, 4, 4, 3, 2, 2, 4, 2, 3, 4, 2, 3, 4, 5, 4, 2, 2, 3, 2, 3, 3, 3, 4, 3, 1, 2, 2, 4, 3, 5, 3, 3, 3, 4, 2, 4, 2, 3, 3, 3, 2, 4, 2, 2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 3, 4, 2, 3, 2, 5, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 2, 2, 5, 2, 2, 3, 3, 3, 1, 4, 3, 3, 2, 2, 2, 1, 5, 3, 1, 3, 3, 4, 3, 3, 2, 3, 5, 5, 5, 2, 5, 5, 3, 5, 2, 5, 5, 2, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 3, 4, 5, 5, 2, 2, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 4, 2, 3, 4, 2, 5, 5, 3, 1, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 4, 1, 2, 2, 3, 2, 4, 3, 3, 4, 4, 2, 2, 5, 2, 2, 1, 1, 3, 1, 1, 2, 4, 2, 2, 3, 2, 2, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 1, 5, 2, 3, 2, 2, 4, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 3, 2, 3, 3, 2, 4, 3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 5, 4, 2, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 2, 5, 3, 1, 2, 3, 2, 1, 4, 3, 2, 2, 3, 2, 1, 2, 1, 3, 3, 5, 3, 4, 2, 2, 2, 3, 4, 1, 1, 3, 1, 1, 3, 2, 3, 1, 2, 2, 4, 3, 3, 2, 3, 4, 2, 5, 4, 2, 5, 3, 4, 2, 1, 2, 2, 4, 1, 3, 3, 3, 4, 2, 3, 3, 5, 2, 3, 5, 2, 3, 4, 2, 3, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 1, 4, 4, 5, 1, 3, 1, 3, 1, 2, 3, 4, 3, 3, 4, 3, 4, 3, 2, 5, 3, 4, 4, 4, 3, 1, 4, 3, 4, 3, 3, 3, 3, 5, 2, 3, 4, 3, 3, 2, 2, 3, 4, 3, 1, 2, 4, 5, 3, 3, 5, 4, 4, 3, 3, 4, 2, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 2, 3, 2, 2, 4, 3, 2, 2, 2, 1, 2, 4, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 5, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 2, 5, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 4, 2, 2, 5, 2, 2, 3, 2, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 2, 3, 2, 2, 1, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 4, 2, 3, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 1, 4, 3, 1, 2, 3, 3, 3, 2, 4, 4, 3, 5, 3, 4, 2, 4, 2, 2, 3, 4, 3, 5, 3, 4, 1, 2, 2, 3, 3, 2, 3, 4, 1, 3, 3, 2, 3, 2, 3, 5, 2, 5, 2, 3, 4, 2, 2, 2, 4, 3, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 3, 4, 2, 1, 5, 2, 4, 4, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 4, 5, 3, 1, 3, 2, 2, 4, 4, 4, 2, 5, 2, 2, 3, 1, 3, 3, 2, 2, 2, 1, 2, 1, 1, 3, 1, 4, 4, 1, 3, 2, 3, 3, 3, 3, 5, 1, 3, 2, 3, 2, 5, 3, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 4, 2, 2, 2, 4, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 4, 3, 1, 2, 2, 2, 2, 1, 1, 2, 1, 4, 1, 1, 1, 1, 3, 2, 2, 2, 4, 3, 3, 3, 5, 3, 2, 3, 4, 3, 3, 2, 4, 3, 2, 3, 5, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 4, 2, 3, 1, 5, 5, 5, 4, 3, 4, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 4, 3, 4, 1, 4, 2, 3, 2, 2, 4, 2, 4, 5, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 5, 2, 2, 3, 2, 4, 3, 3, 3, 3, 2, 5, 5, 4, 1, 3, 2, 3, 2, 3, 4, 5, 2, 2, 4, 1, 3, 3, 2, 2, 2, 2, 1, 3, 1, 4, 3, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 5, 4, 2, 3, 3, 1, 2, 4, 3, 2, 3, 3, 3], "3642": [4, 4, 2, 2, 4, 2, 1, 3, 3, 1, 2, 5, 1, 1, 5, 3, 3, 1], "2298": [3, 4, 4, 4, 2, 5, 3, 4, 5, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 2, 3, 3, 3, 2, 3, 3, 4, 5, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4], "4477": [4, 5, 4, 1, 2, 2, 1, 4, 3, 5, 4, 5, 3, 4, 3, 4, 2, 1, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 2, 5, 5, 4, 3, 4, 4, 4, 1, 1, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 3, 5, 4, 4, 5, 3, 2, 4, 1, 4, 1, 2, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4], "5275": [5, 5, 2, 5, 4, 5, 5, 5, 3, 3, 3, 5, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 2, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 3, 3, 3, 1, 5, 3, 4, 1, 4, 3, 5, 5, 2, 2, 4, 3, 4, 5, 5, 1, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 5], "3876": [4, 4, 5, 3, 4, 2, 5, 5, 3, 5, 5, 5, 5, 4, 3], "3350": [5, 5, 5, 3, 5, 5, 1, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5], "5795": [4, 2, 3, 3, 2, 2, 3, 1, 3, 2, 5, 4, 5, 2, 4, 3, 4, 3, 3, 1, 1, 5, 4, 4, 4, 1, 5, 5, 5, 5, 5, 2, 4, 1, 3, 3, 5, 4, 3, 1, 5, 5, 4, 4, 3, 5, 5, 1, 4, 1, 5, 1, 5, 4, 3, 2, 4, 4, 1, 3, 4, 4, 5, 5, 3, 4, 3, 3, 4, 5, 3, 1, 4, 2, 1, 5, 5, 5, 3, 2, 1, 4, 3, 3, 5, 1, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 2, 5, 5, 1, 4, 2, 4, 5, 3, 3, 1, 5, 5, 4, 4, 3, 2, 2, 5, 3, 1, 3, 3, 4, 1, 3, 4, 5, 4, 2, 1, 3, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 1, 1, 1, 3, 5, 1, 4, 1, 2, 5, 4, 4, 1, 5, 4, 3, 5, 1, 1, 5, 1, 3, 3, 2, 3, 1, 5, 2, 5, 1, 1, 4, 1, 4, 5, 2, 5, 4, 5, 1, 2, 4, 2, 1, 1, 1, 5, 2, 1, 5, 1, 4, 4, 2, 1, 3, 1, 3, 1, 4, 4, 4, 1, 3, 3, 4, 5, 1, 1, 3, 5, 5, 1, 5, 1, 1, 3, 4, 5, 5, 2, 4, 3, 4, 3, 1, 5, 1, 1, 1, 4, 1, 4, 5, 4, 5, 4, 1, 1, 2, 1, 3, 1, 5, 4, 5, 4, 5, 5, 3, 3, 2, 4, 1, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 5, 1, 4, 2, 5, 3, 5, 2, 4, 4, 1, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 1, 1, 2, 2, 3, 1, 4, 5, 5, 1, 5, 1, 4, 4, 3, 3, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 3, 3, 5, 4, 4, 4, 5, 1, 5, 5, 3, 4, 4, 5, 3, 5, 4, 3, 1, 3, 1, 4, 1, 1, 3, 3, 3, 5, 1, 1, 3, 5, 5, 4, 1, 1, 1, 1, 1, 5, 5, 4, 5, 1, 3, 4, 1, 2, 1, 1, 4, 5, 3, 1, 1, 2, 4, 1, 2, 4, 2, 1, 1, 5, 5, 3, 3, 5, 5, 4, 4, 4, 5, 1, 3, 1, 4, 2, 5, 4, 1, 1, 1, 3, 4, 5, 4, 1, 5, 5, 1, 4, 5, 4, 5, 2, 1, 4, 1, 5, 3, 1, 1, 5, 1, 5, 2, 5, 4, 5, 5, 1, 5, 5, 4, 5, 4, 5, 5, 5, 1, 5, 4, 3, 3, 5, 1, 2, 5, 5, 4, 1, 3, 3, 4, 4, 4, 3, 4, 5, 5, 1, 1, 4, 1, 4, 3, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 2, 4, 5, 4, 1, 3, 4, 3, 2, 5, 1, 4, 4, 3, 5, 2, 3, 3, 2, 5, 3, 5, 4, 4, 2, 1, 2, 4, 3, 5, 1, 5, 4, 2, 1, 5, 2, 2, 4, 4, 3, 5, 2, 4, 5, 3, 1, 4, 1, 3, 1, 2, 1, 1, 4, 5, 4, 4, 5, 5, 1, 5, 4, 5, 4, 5, 4, 4, 1, 1, 2, 4, 1, 4, 2, 4, 5, 4, 5, 2, 5, 5, 4, 1, 1, 2, 5, 5, 5, 5, 5, 5, 4, 1, 4, 1, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 1, 5, 5, 5, 3, 4, 2, 3, 1, 5, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 1, 1, 5, 5, 5, 4, 2, 5, 1, 5, 1, 3, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 1, 3, 4, 5, 1, 1, 3, 5, 4, 3, 4, 4, 2, 4, 1, 1, 3, 2, 1, 3, 1, 2, 5, 4, 4, 3, 1, 3, 1, 1, 4, 1, 3, 3, 2, 4, 1, 1, 5, 5, 4, 1, 4, 5, 4, 2, 1, 4, 1, 4, 1, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 2, 3, 2, 1, 1, 3, 3, 3, 3, 1, 3, 4, 2, 2, 4, 3, 3, 3, 3, 4, 4, 1, 3, 1, 1, 2, 5, 2, 2, 2, 5, 5, 1, 1, 1, 1, 3, 5, 5, 4, 1, 1, 3, 2, 2, 4, 1, 4, 4, 1, 3, 4, 1, 1, 5, 1, 2, 1, 1, 3, 3, 1, 3, 2, 3, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 1, 2, 4, 4, 3, 4, 1, 1, 1, 4, 2, 4, 2, 1, 5, 4, 5, 1, 5, 5, 2, 1, 4, 5, 4, 2, 4, 5, 4, 3, 1, 4, 4, 3, 4, 5, 5, 4, 3, 3, 1, 2, 1, 2, 5, 5, 2, 1, 5, 1, 4, 4, 5, 5, 5, 1, 5, 4, 3, 2, 4, 1, 5, 5, 5, 4, 3, 3, 3, 5, 4, 3, 1, 3, 1, 3, 1, 5, 3, 5, 3, 1, 5, 2, 1, 5, 2, 1, 4, 2, 1, 4, 5, 4, 5, 1, 2, 1, 2, 5, 1, 1, 4, 5, 3, 1, 5, 2, 2, 3, 5, 5, 1, 4, 1, 1, 5, 2, 1, 3, 1, 1, 2, 1, 3, 4, 1, 1, 1, 1, 1, 5, 1, 5, 1, 4, 4, 1, 1, 4, 4, 1, 5, 1, 4, 3, 5, 1, 5, 4, 5, 1, 5, 4, 3, 2, 1, 1, 5, 3, 1, 3, 1, 3, 3, 1, 5, 3, 5, 1, 4, 5, 1, 4, 1, 1, 1, 5, 2, 3, 1, 5, 1, 1, 2, 4, 2, 5, 5, 5, 4, 1, 1, 3, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 2, 4, 4, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 3, 5, 5, 3, 1, 3, 4, 5, 5, 4, 3, 5, 5, 3, 5, 1, 5, 1, 1, 4, 3, 4, 1, 5, 1, 4, 5, 1, 3, 3, 3, 4, 5, 3, 1, 1, 4, 1, 4, 5, 4, 4, 3, 2, 5, 2, 4, 2, 3, 1, 5, 5, 3, 3, 4, 4, 3, 4, 3, 3, 2, 5, 5, 2, 5, 1, 1, 1, 5, 1, 1, 5, 3, 2, 5, 5, 5, 3, 4, 5, 5, 4, 1, 4, 2, 5, 5, 5, 3, 1, 1, 5, 2, 5, 5, 4, 5, 5, 5, 2, 3, 2, 3], "2405": [5, 4, 4, 2, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 2, 2, 5, 3, 5, 4, 3, 3, 2, 5, 3, 1, 2, 5, 3, 5, 4, 5, 2, 5, 5, 4, 2, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 2, 4, 3], "5507": [3, 2, 4, 4, 3, 2, 3, 3, 2, 2, 3, 4, 5, 5, 4, 3, 2, 2, 2], "2043": [2, 3, 4, 2, 2, 5, 3, 3, 2, 3, 3, 3, 3, 1], "5223": [4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 1, 5, 1, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 1, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3, 1, 5, 2, 3, 2, 4, 4, 2, 2, 3, 2, 3, 3, 2, 3, 3, 5, 2, 3, 4, 4, 2, 4, 5, 4, 2, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 2, 4, 2, 4, 4, 4, 1, 2, 1, 3, 4, 3, 4, 4, 1, 3, 4, 4, 3, 2, 4, 4, 3, 4, 2, 1, 5, 4, 3, 4, 2, 2, 2, 4, 4, 4, 3, 3, 2, 2, 1, 2, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 4, 3, 3], "1832": [5, 3, 4, 4, 5, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 2, 1, 5, 3, 4, 4, 3, 3, 5, 5, 4, 4, 4], "4719": [5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4], "150": [4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5], "3054": [3, 5, 5, 5, 1, 5, 3, 5, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 3, 2, 4, 5, 3, 4, 3, 3, 5, 4, 5, 3, 4, 5, 3, 5, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 2, 5, 4, 4, 2, 5, 1, 5, 4, 2, 5, 3, 4, 3, 5, 3, 2, 3, 3, 4, 2, 5, 5, 5, 5, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 2, 2, 3, 5, 2, 3, 2, 3, 3, 3, 5, 4, 4, 3, 4, 2, 4, 4, 5, 4, 5, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 3, 2, 3, 5, 5, 5, 3, 2, 3, 4, 1, 5, 3, 2, 3, 3, 3, 1, 3, 5, 4, 3, 2, 3, 2, 4, 3, 5, 3, 3, 4, 5, 3, 4, 4, 4, 3, 5, 2, 4, 4, 3, 3, 2, 5, 3, 3, 5, 4, 5, 4, 4, 3, 5, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 5, 3, 4, 5, 4, 1, 3, 4, 3, 4, 3, 3, 5, 4, 1, 1, 5, 3, 5, 3, 4, 3, 5, 5, 5, 3, 2, 3, 5, 4, 3, 5, 3, 3, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 5, 3, 2, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 3, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 2, 5, 4, 3, 3, 5, 5, 2, 3, 2, 3, 2, 3, 3, 5, 4, 3, 4, 3, 4, 2, 3, 4, 5, 2, 1, 1, 3, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 3, 2, 3, 5, 5, 5, 5, 3, 2, 3, 5, 5, 5, 3, 4, 3, 4, 4, 1, 3, 1, 5, 4, 5, 5, 2, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 5, 2], "33": [2, 2, 2, 4, 3, 4, 3, 2, 3, 3, 3, 5, 3, 5, 3, 5, 2, 5, 5, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 1, 4, 3, 3, 4, 5, 2, 4, 3, 5, 4, 5, 2, 3, 4, 5, 2, 5, 4, 4, 2, 5, 3, 4, 3, 5, 2, 4, 4, 4, 3, 4, 3, 4, 2, 4, 5, 4, 5, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 5, 5, 2, 5, 4, 3, 2, 5, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 5, 2, 2, 1, 1, 2, 4, 4, 4, 3, 2, 4, 2, 4, 5, 4, 3, 3, 2, 2, 2, 5, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 4, 1, 3, 2, 4, 3, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 5, 5, 4, 3, 3, 5, 5, 2, 5, 2, 3, 4, 4, 3, 2, 4, 5, 4, 5, 2, 4, 5, 4, 3, 2, 4, 2, 4, 3, 3, 4, 4, 3, 3, 4, 5, 3, 5, 2, 3, 4, 2, 3, 4, 4, 2, 3, 3, 5, 4, 2, 4, 2, 3, 5, 3, 5, 5, 3, 3, 3, 3, 3, 3, 5, 3, 4, 3, 5, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 5, 3, 4, 5, 3, 3, 1, 3, 3, 2, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 2, 4, 3, 3, 4, 5, 3, 3, 5, 5, 4, 2, 3, 5, 5, 3, 5, 5, 3, 5, 4, 2, 2, 5, 5, 5, 3, 4, 3, 5, 4, 4, 1, 5, 3, 3, 3, 4, 2, 3, 4, 5, 2, 4, 5, 3, 2, 4, 3, 5, 4, 2, 5, 3, 3, 3, 4, 5, 3, 3, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4, 2, 5, 2, 4, 4, 3, 4, 4, 2, 5, 3], "4430": [1, 3, 3, 2, 3, 4, 2, 2, 1, 1, 2, 3, 2, 3, 2, 3, 2, 2, 4, 1, 3, 1, 2, 2, 1, 2, 4, 4, 2, 1, 3, 3, 2, 3, 3, 2, 3, 1, 3, 3, 1, 2, 1, 5, 5, 3, 3, 2, 2, 2, 2, 4, 2, 3, 5, 3, 1, 5, 2, 3, 4, 2, 2, 2, 4, 1, 1, 1, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 4, 2, 2, 2, 2, 2, 3, 4, 1, 3, 4, 4, 2, 2, 4, 2, 2, 3, 2, 3, 2, 4, 2, 2, 4, 1, 2, 3, 1, 2, 2, 5, 3, 2, 5, 4, 4, 4, 2, 2, 3, 2, 4, 1, 3, 5, 2, 1, 2, 2, 4, 4, 1, 3, 3, 3, 4, 1, 2, 3, 2, 4, 1, 1, 1, 3, 2, 3, 4, 1, 3, 1, 1, 3, 3, 4, 5, 1, 3, 3, 1, 2, 3, 1, 3, 4, 4, 4, 3, 3, 3, 3, 1, 1, 3, 2, 1, 1, 1, 2, 3, 2, 4, 1, 4, 4, 2, 3, 2, 2, 2, 4, 2, 1, 3, 3, 1, 1, 4, 1, 4, 3, 1, 3, 2, 2, 3, 4, 3, 1, 4, 3, 3, 2, 2, 4, 2, 1, 2, 3, 3, 5, 2, 1, 2, 1, 2, 4, 4, 4, 1, 2, 2, 3, 2, 3, 1, 4, 4, 4, 2, 3, 5, 2, 2, 1, 1, 3, 2, 5, 4], "5962": [4, 4, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 5, 3, 5], "3740": [4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 5, 3, 5, 4, 5, 3, 5, 4, 5], "3615": [1, 5, 4, 4, 3, 4, 4, 5, 2, 1, 3, 3, 5, 4, 1, 4, 1, 4, 4, 4, 5, 4, 2, 1, 4, 3, 4, 4, 4, 1, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 2, 1, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 3, 1, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 1, 4, 2, 3, 3, 4, 4, 3, 4, 5, 1, 2, 3, 4, 2, 1, 4, 1, 4, 4, 1, 3, 5, 5, 4, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 3, 5, 3, 5, 4, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 1, 4, 4, 3, 3, 3, 3, 4, 1, 5, 4, 5, 2, 3, 3, 4, 3, 4, 5, 4, 3, 4, 2, 4, 5, 5, 5, 3, 1, 2, 4, 5], "498": [4, 4, 4, 5, 2, 4, 5, 3, 4, 3, 5, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 4, 3, 3, 5, 4, 3, 3, 5, 3, 2, 3, 3, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 5, 3, 3, 5, 4, 3, 5, 4, 3, 3, 3, 3, 5, 3, 4, 3], "4702": [4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4], "6029": [2, 3, 4, 3, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 2, 4, 3, 3, 4, 3, 5], "3422": [2, 4, 4, 2, 4, 2, 2, 3, 3, 4, 3, 3, 2, 1, 5, 4, 1, 3, 4, 5, 3, 2, 1, 5, 4, 1, 5, 2, 1, 4, 3, 2, 1, 4, 4, 4, 4, 1, 1, 1, 3, 3, 2, 2, 2, 1, 5, 5, 5, 4, 2, 1, 5, 1, 3, 2, 1, 3, 3, 4, 3, 4, 3, 1, 1, 1, 3, 5, 4, 2, 3, 3, 2, 5, 2, 2, 2, 4, 4, 3, 4, 2, 2, 1, 2, 2, 1, 3, 2, 3, 4, 1, 2, 4, 3, 2, 2, 4, 1, 3, 5, 2, 3, 1, 2, 3, 1, 5, 3, 2, 1, 4, 3, 4, 2, 2, 5, 2, 1, 1, 2, 1, 3, 1, 1, 2, 1, 2, 1, 3, 4, 3, 1, 2, 1, 3, 3, 3, 4, 3, 1, 4, 2, 2, 1, 2, 3, 1, 3, 2, 1, 2, 4, 1, 3, 2, 1, 2, 4, 1, 4, 5, 4, 5, 2, 3, 3, 4, 3, 1, 1, 1, 4, 4, 4, 5, 4, 4, 3, 1, 2, 2, 1, 2, 4, 3, 3, 4, 3, 4, 3, 1, 3, 3, 2, 2, 3, 3, 1, 3, 1, 1, 3, 2, 5, 1, 2, 4, 2, 5, 4, 3, 2, 4, 3, 2, 4, 3, 3, 1, 5, 1, 2, 3, 1, 3, 2, 2, 4, 2, 4, 1, 5, 1, 3, 3, 4, 4, 4, 1, 1, 2, 3, 3, 3, 3, 5, 1, 1, 1, 4, 2, 3, 3, 3, 2, 1, 3, 2, 1, 1, 3, 4, 1, 4, 3, 1, 2, 1, 1, 1, 2, 3, 3, 5, 3, 1, 1, 1, 4, 3, 4, 3, 4, 4, 2, 2, 2, 3, 4, 2, 2, 5, 1, 2, 3, 3, 4, 1, 1, 1, 3, 1, 4, 1, 1, 4, 2, 5, 3, 2, 4, 4, 1, 3, 1, 2, 4, 4, 4, 4, 3, 1, 5, 3, 4, 4, 2, 4, 3, 1, 2, 4, 4, 2, 2, 5, 4, 2, 5, 2, 1, 1, 4, 3], "320": [5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 3, 5], "1929": [5, 2, 5, 3, 4, 3], "3833": [3, 3, 4, 4, 5, 5, 5, 4, 2, 2, 3, 4, 3, 4, 4, 4, 2, 3, 5, 2, 4, 3, 4, 3, 1, 4, 5, 5, 5, 3, 3, 5, 3, 4, 4, 5, 3, 4, 4, 4, 5, 2, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 2, 4, 3, 4, 5, 3, 5, 3, 4, 3, 4, 5, 1, 2, 3, 4, 2, 3, 2, 3, 3, 5, 2, 4, 4, 5, 5, 3, 5, 3, 3, 2, 4, 3, 3, 3, 5, 3, 3, 4, 4, 3, 4, 2, 2, 1, 4, 4, 3, 2, 4, 4, 5, 5, 4, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 5, 5, 3, 5, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 3, 2, 3, 2, 3, 5, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 2, 3, 3, 5, 3, 5, 5, 2, 3, 3, 2, 5, 3, 3, 3, 3, 4, 4, 4, 1, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 2, 4, 4, 3, 5, 3, 4, 4, 1, 2, 4, 4, 3, 2, 5, 4, 5, 3, 5, 5, 4, 2, 3, 5, 5, 1, 4, 5, 4, 3, 5, 4, 3, 3, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5], "998": [5, 2, 4, 4, 5, 4, 4, 2, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 2, 4, 5, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 2, 5, 4, 4, 3, 5], "4260": [3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 1, 3, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 5, 4, 3, 4, 2, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 4, 1, 3, 4, 3, 3, 5, 4, 3, 3, 5, 3, 3, 3, 4, 2, 3, 3, 3, 4, 2, 4, 4, 4, 3, 3, 5, 5, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 3, 3, 2, 2, 5, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 2, 3, 2, 3, 4, 3, 4, 3, 2, 3, 2, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 5, 1, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 5, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 5, 4, 2, 3, 3, 1, 3, 3, 2, 4, 4, 4, 3, 3, 1, 4, 1, 3, 5, 3, 1, 3, 4, 4, 3, 4, 2, 3, 3, 4, 5, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 2, 2], "4603": [2, 3, 3, 5, 4, 3, 4, 5, 4, 5, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 1, 5, 2, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4], "3374": [3, 5, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 2, 5, 5, 5, 5, 2, 5, 5, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 4, 5, 3, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 3, 3, 4, 3, 4], "3049": [4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5], "5622": [4, 5, 4, 4, 5, 5, 5, 1, 5, 5, 3, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 5, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 5, 5], "3879": [4, 2, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 3, 4, 4, 2, 4, 3, 4, 4], "4476": [5, 2, 3, 2, 5, 5, 5, 3, 1, 4, 4, 3, 3, 4, 5, 5, 5, 4, 3, 5, 2, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 3, 5, 3, 3, 4, 5, 4, 3, 4, 5, 1, 3, 4, 2, 4, 3, 5, 5, 5, 4, 4, 4, 2, 3, 4, 1, 5, 5, 4, 4, 5, 5, 5, 5, 1, 1, 3, 2, 2, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 1, 5, 5, 4, 5, 2, 5, 2, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 3, 3, 2, 5, 2, 5, 5, 5, 4, 5, 3, 5, 4, 2, 3, 5, 5, 1, 4, 2, 3, 2, 4, 2, 2, 5, 1, 5, 3, 4, 1, 1, 3, 2, 4, 3, 4, 3, 5, 1, 5, 4, 5, 1, 1, 1, 1, 5, 4, 5, 3, 3, 2, 5, 2, 1, 3, 5, 5, 5, 3, 2, 5, 5, 4, 3, 3, 3, 4, 3, 2, 2, 1, 3, 5, 5, 2, 4, 5, 5, 4, 2, 2], "4662": [2, 1, 4, 3, 3, 5, 2, 4, 4, 1, 3, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 4, 4, 4, 2, 2, 1, 4, 4, 3, 4, 3, 3, 3, 5, 3, 2, 2, 3, 2, 3, 1, 5, 3, 4, 2, 4, 4, 2, 4, 2, 3, 3, 3, 3, 4, 2, 1, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 1, 2, 1, 3, 3, 1, 3, 5, 2, 2, 4, 3, 3, 3, 1, 2, 2, 3, 2, 4, 3, 1, 2, 1, 2, 3, 5, 2, 3, 2, 2, 2, 3, 4, 4, 2, 5, 2, 3, 4, 1, 4, 3, 5, 4, 3, 3, 2, 2, 4, 2, 3, 2, 2, 2, 4, 4, 2, 4, 5, 3, 3], "1077": [5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 5, 2, 5, 5, 3, 4, 5, 4, 3, 4, 3, 5, 5, 3, 3, 2, 5, 5, 4, 5, 5, 2, 5, 5, 5, 3, 5, 4, 5, 3, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 3, 5, 2, 2, 5, 5, 3, 4, 3, 1, 4, 2, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 2, 5, 4, 4, 5, 5, 2, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 3, 2, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 1, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 1, 3, 5, 5, 5, 3, 5, 3, 3, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 2, 4, 3, 4, 2, 4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 5, 4, 5, 5, 2, 5, 2, 5, 5, 5, 3, 5, 3, 3, 4, 4, 5, 5, 4], "5144": [5, 4, 4, 3, 4, 3, 4, 3, 3, 5, 3], "3729": [2, 5, 3, 1, 2, 5, 5, 3, 4, 5, 3, 3, 4, 4, 5, 1, 4, 5, 3, 1, 5, 4, 2, 2, 5, 4, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 5, 3, 4, 3, 4, 5, 4, 3, 2, 2, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 3, 5, 3, 3, 3, 2, 5, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 3, 3, 5, 5, 1, 5, 4, 5, 3, 3, 3, 4, 2, 3, 3, 5, 3, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 3, 2, 2, 2, 4, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 2, 4, 3, 3, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 4, 3, 2, 3, 3, 4, 5, 3, 4, 4, 2, 5, 3, 2, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 2, 5, 4, 5, 4, 3, 2, 3, 3, 2, 5, 5, 5, 2, 5, 3, 3, 5, 4, 4, 4, 4, 3, 3, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 3, 5, 5, 5, 3, 4, 1, 5, 4, 4, 4, 3, 4, 4, 2, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 1, 4, 2, 3, 2, 5, 4, 1, 4, 5, 4, 4, 2, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 3, 5, 3, 5, 4, 4, 4, 2, 5, 3, 2, 2, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 2, 5, 3, 4, 5, 4, 4, 2, 3, 3, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 3, 1, 5, 3, 4, 4, 2, 3, 5, 5, 4, 4, 3, 5, 4, 2, 2, 3, 5, 5, 4, 5, 4, 4, 1, 3, 3, 4, 2, 5], "2302": [5, 3, 5, 3, 4, 3, 3, 2, 5, 3, 3, 3, 5, 3, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 3, 2, 3, 3, 3, 4, 5, 5, 2, 5, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 5, 2, 3, 3, 4, 3, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 1, 2, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 3, 4, 5, 3, 3, 2, 3, 4, 3, 3, 5, 4, 4, 5, 4, 4, 2, 3, 5, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 3, 4, 5, 4, 3], "3512": [4, 4, 3, 5, 2, 3, 4, 2, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 5, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 5, 4, 4, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 2, 3, 2, 3, 3, 2, 1, 4, 4, 3, 3, 4, 3, 3, 5, 2, 2, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 3, 2, 4, 5, 3, 3, 3, 2, 5, 4, 2, 3, 5, 4, 4, 5, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 3, 2, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 2, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 2, 3, 5, 4, 3, 5, 3, 3, 3, 1, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 2, 5, 4, 4, 5, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 2, 4, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 3, 3, 4, 5, 4, 4, 2, 3, 1, 4, 2, 4, 5, 4, 3, 3, 4, 5, 2, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 2, 4, 5, 3, 4, 3, 4, 2, 5, 3, 5, 4, 4, 5, 4, 3, 5, 2], "2245": [3, 2, 2], "4222": [4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 5, 4, 3, 4, 1, 5, 4, 5, 1, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 4, 4, 5, 3, 3, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 5], "1413": [3, 5, 3, 5, 5, 3, 5, 5, 4, 3, 3, 5, 3, 3, 5, 5, 3, 5, 4, 5, 5, 5, 1, 2, 4, 5, 5, 4, 4, 5, 4, 5, 1, 5, 5, 4, 4, 5, 1, 2, 3, 1, 4, 3, 5, 5, 5, 4, 5, 4, 1, 5, 5, 3, 3, 4, 5, 3, 4, 2, 3, 1, 4, 1, 4, 4, 4, 4, 3, 5, 4, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 1, 5, 4, 4, 3, 1, 4, 5, 4, 5, 5, 4, 3, 5, 2, 3, 4, 5, 1, 4, 4, 4, 5, 4, 5, 1, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 1, 4, 3, 4, 5, 5, 4, 4, 5, 4], "4295": [4, 3, 3, 1, 1, 3, 4, 3, 2, 1, 4, 1, 3, 3, 3, 4, 2, 3, 1, 2, 1, 2, 3, 3, 2, 3, 2, 1, 1, 1, 1, 3], "4059": [4, 3, 4, 3, 2, 1, 3, 2, 4, 4, 4, 2, 4, 4, 1, 4, 4, 2, 2, 4, 4, 3, 4, 2, 3, 4, 4, 3, 1, 3, 3, 3, 2, 1], "4147": [5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4], "4563": [3, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 5, 4, 3, 5, 5], "1993": [4, 4, 4, 4, 4, 5, 3, 4, 1, 5, 5, 4, 5, 3, 3, 2, 3], "3367": [5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 2, 3, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 3, 3, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 3, 3, 3, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 5, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5], "896": [4, 4, 5, 4, 4, 3, 3], "3922": [2, 4, 2, 3, 3, 3, 2, 3, 2, 4, 4, 3, 5, 4, 3, 5, 1, 2, 5, 4, 2, 3, 3, 2, 2, 3, 4, 3, 1, 4, 3, 2, 3, 3, 2, 2, 4, 4, 5, 2, 2, 5, 2, 1, 3, 4, 2, 1, 5, 1, 1, 3, 4, 3, 5, 4, 4, 2, 3, 3, 3, 3, 2, 4, 3, 3, 5, 4, 3, 4, 2, 1, 1, 4, 1, 2, 2, 2, 3, 3, 3, 2, 4, 1, 2, 2, 1, 1, 2, 4, 3, 3, 2, 1, 1, 3, 2, 1, 2, 4, 3, 1, 1, 2, 4, 4, 3, 4, 3, 3, 2, 3, 4, 1, 4, 2, 4, 2, 3, 4, 2, 1, 1, 2, 4, 4, 2, 4, 2, 2, 1, 3, 4, 1, 3, 2, 5, 2, 1, 2, 4, 3, 3, 2, 2, 4, 4, 3], "2336": [4, 5, 5, 2, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4], "3796": [4, 3, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 2, 4, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 2, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 4, 5, 3, 4, 3, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 3, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 3, 4, 2, 5, 5, 3, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5], "449": [5, 1, 5, 5, 4, 4, 2, 4, 4, 3, 5, 4, 1, 4, 3, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 3, 3, 5, 2, 2, 4, 4, 5, 4, 5, 2, 2, 5, 5, 5, 4, 2, 5, 4, 5], "5027": [4, 3, 5, 5, 3, 4, 4, 1], "4825": [3, 3, 4, 3, 3, 5, 3, 3, 5, 5, 5, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 2, 4, 5, 4, 4, 3, 3, 5, 3, 5, 5, 2, 3, 5, 4, 4, 3], "5021": [4, 3, 3, 3, 4, 5, 5, 2, 4, 1, 1, 4, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 4, 3, 5, 5, 3, 1, 1, 1, 5, 5, 4, 4, 3, 4, 5, 3, 3, 1, 3, 2, 3, 2, 5, 3, 5, 3, 5, 2, 2, 5, 3, 3, 1, 4, 1, 1, 3, 4, 4, 1, 1, 1, 1, 4, 3, 5, 2, 5, 4, 5, 5, 4, 3, 5, 3, 5, 1, 1, 1, 5, 5, 4, 1, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 3, 5, 4, 5, 5, 3, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 2, 5, 4, 1, 5, 3, 3, 5, 4, 4, 4, 4, 3, 1, 3, 3, 4, 5, 4, 1, 1, 3, 5, 1, 2, 2, 3, 1, 4, 4, 3, 4, 4, 3, 3, 3, 1, 1, 4, 3, 5, 1, 3, 3, 2, 1, 4, 4, 3, 1, 5, 3, 5, 1, 1, 2, 2, 5, 5, 3, 5, 4, 4, 4], "831": [4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5], "496": [5, 4, 4, 5, 5, 4, 4, 5, 2, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 1, 5, 5, 4, 3, 5, 3, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 1, 4, 5, 4, 5, 1, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 3, 2, 4, 4], "4639": [5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 3, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5], "1098": [5, 4, 5, 4, 5, 5, 4, 4, 2, 3, 5, 5, 5, 3, 5, 5, 2, 5, 5, 5, 5, 1, 4, 5, 5, 4, 5, 5], "4936": [5, 3, 3, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 2, 5, 1, 5, 1, 5, 5, 2, 5, 5, 2, 5, 1, 2, 4, 4, 3, 5], "5030": [3, 4, 4, 5, 4, 5, 4, 2, 5, 5, 5], "5954": [2, 2, 3, 1, 3, 4, 3, 3, 2, 5, 1, 5, 4, 1, 5, 5, 1, 5, 5, 5, 2, 5, 4, 1, 1, 3, 3, 3, 5, 5, 5, 5, 4, 3, 1, 3, 5, 4, 4, 1, 5, 3, 4, 4, 5, 2, 5, 5, 1, 5, 3, 5, 1, 4, 5, 3, 1, 5, 3, 1, 4, 3, 5, 5, 1, 3, 3, 4, 5, 5, 5, 5, 3, 3, 5, 5, 1, 1, 4, 2, 3, 3, 5, 4, 1, 3, 5, 1, 4, 3, 4, 3, 1, 1, 3, 5, 3, 5, 5, 1, 1, 1, 1, 3, 5, 1, 4, 1, 1, 5, 3, 4, 2, 4, 5, 5, 4, 2, 1, 3, 3, 5, 1, 5, 5, 1, 5, 5, 3, 5, 4, 5, 2, 1, 3, 5, 5, 5, 2, 3, 1, 1, 1, 5, 5, 1, 4, 1, 1, 3, 3, 4, 5, 3, 3, 4, 5, 4, 3, 1, 3, 3, 3, 3, 4, 5, 5, 4, 1, 1, 1, 1, 1, 1, 3, 5, 3, 1, 4, 3, 4, 4, 4, 5, 5, 1, 1, 5, 3, 1, 3, 1, 5, 4, 1, 5, 4, 2, 1, 1, 3, 1, 1, 1, 3, 4, 5, 3, 4, 2, 3, 5, 1, 1, 4, 5, 1, 1, 3, 3, 5, 5, 5, 3, 5, 1, 5, 2, 3, 3, 3, 3, 5, 3, 4, 3, 5, 5, 4, 5, 4, 1, 5, 1, 5, 3, 1, 5, 5, 4, 3, 4, 2, 5, 3, 1, 3, 3, 1, 1, 5, 3, 1, 2, 5, 5, 3, 5, 5, 4, 2, 3, 1, 1, 2, 4, 4, 4, 4, 5, 3, 5, 5, 4, 3, 3, 5, 5, 1, 5, 5, 3, 1, 2, 5, 4, 5, 1, 5, 3, 1, 1, 2, 3, 3, 4, 1, 1, 3, 1, 1, 1, 1, 3, 5, 5, 3, 4, 2, 3, 3, 3, 5, 1, 4, 5, 1, 5, 4, 4, 3, 1, 1, 4, 4, 4, 1, 3, 3, 3, 1, 3, 1, 1, 4, 2, 5, 4, 2, 1, 3, 3, 3, 4, 5, 3, 5, 4, 1, 3, 3, 5, 3, 3, 5, 3, 4, 5, 5, 5, 4, 5, 5, 2, 1, 4, 1, 5, 4, 1, 5, 5, 4, 2, 1, 2, 4, 5, 4, 5, 2, 3, 3, 3, 4, 1, 4, 5, 4, 1, 3, 4, 5, 5, 5, 2, 4, 4, 5, 4, 2, 2, 1, 5, 3, 4, 2, 5, 5, 4, 3, 5, 5, 5, 5, 3, 5, 4, 1, 5, 5, 1, 4, 4, 1, 5, 4, 1, 5, 1, 5, 1, 1, 1, 1, 1, 1, 1, 5, 1, 5, 5, 5, 3, 1, 3, 5, 2, 2, 1, 1, 5, 1, 5, 1, 1, 3, 2, 3, 5, 3, 4, 3, 2, 1, 1, 4, 1, 1, 4, 1, 1, 3, 3, 1, 1, 5, 5, 3, 5, 5, 5, 4, 5, 3, 5, 3, 4, 4, 4, 5, 1, 1, 4, 5, 1, 5, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 1, 3, 5, 3, 3, 5, 3, 3, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 5, 4, 5, 1, 3, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 1, 1, 5, 3, 5, 5, 5, 3, 5, 5, 1, 2, 3, 2, 5, 5, 1, 5, 1, 1, 4, 3, 1, 1, 4, 3, 2, 2, 2, 1, 2, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 1, 2, 4, 4, 1, 4, 2, 1, 3, 3, 5, 4, 2, 1, 4, 5, 4, 5, 3, 3, 1, 3, 1, 5, 1, 4, 5, 1, 5, 5, 3, 3, 3, 3, 3, 4, 2, 2, 1, 5, 3, 3, 3, 3, 3, 1, 3, 3, 1, 5, 1, 1, 5, 5, 5, 5, 5, 4, 3, 3, 2, 1, 3, 4, 5, 2, 3, 1, 4, 2, 1, 3, 3, 3, 3, 5, 5, 4, 1, 5, 3, 5, 5, 5, 5, 3, 4, 1, 1, 3, 2, 5, 5, 5, 4, 5, 1, 4, 3, 4, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 3, 3, 1, 3, 5, 5, 1, 3, 3, 4, 5, 1, 5, 3, 4, 1, 2, 1, 2, 5, 1, 5, 4, 1, 5, 4, 3, 3, 3, 4, 3, 2, 3, 3, 4, 1, 3, 3, 5, 3, 1, 1, 1, 3, 4, 5, 3, 3, 2, 1, 3, 3, 1, 3, 3, 2, 1, 1, 3, 3, 5, 5, 3, 5, 4, 2, 4, 5, 4, 1, 4, 3, 5, 5, 1, 3, 4, 3, 5, 5, 1, 4, 4, 3, 4, 4, 2, 1, 1, 1, 1, 2, 4, 2, 3, 1, 4, 1, 2, 3, 1, 5, 2, 5, 3, 1, 3, 5, 5, 1, 2, 4, 1, 5, 4, 2, 3, 1, 1, 5, 3, 1, 5, 3, 5, 3, 3, 5, 5, 3, 4, 5, 5, 1, 2, 3, 5, 3, 5, 4, 1, 4, 4, 5, 4, 3, 5, 2, 4, 3, 3, 3, 4, 1, 2, 4, 2, 1, 1, 1, 4, 4, 5, 4, 3, 3, 5, 3, 4, 3, 5, 5, 3, 3, 3, 3, 4, 5, 5, 5, 3, 3, 5, 1, 3, 1, 3, 5, 3, 3, 4, 5, 4, 5, 5, 2, 5, 3, 1, 5, 1, 3, 2, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5], "1998": [3, 3, 4, 4, 3, 5, 3, 5, 3, 4, 1, 5, 3, 4, 4, 2, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 3, 5, 5, 4, 4, 2, 4, 2, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 5, 3, 5, 5, 4, 5, 4, 3, 2, 4, 5, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 3, 3, 4, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4], "2980": [3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 4, 4, 3, 2, 2, 4, 4, 3, 3, 3, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 2, 5, 2, 4, 4, 4, 4, 1, 5, 2, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4], "1891": [5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 2, 4, 3, 3, 4, 3, 4, 5, 2, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 2, 2, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, 2, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 1, 4, 4, 3, 3, 5, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 5, 4, 3, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 5, 5, 4, 3, 5, 3, 5, 3, 3], "575": [4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 4, 4, 2, 4, 4, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 3, 5, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 1, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 2, 4, 4, 3, 4, 4, 3, 3, 5, 2, 3, 4, 2, 4, 4, 3], "2602": [4, 4, 4, 4, 3, 2, 5, 4, 4, 3, 3, 2, 3, 3, 2, 2, 2, 3, 4, 5, 3, 5, 3, 3, 3, 3, 4], "2677": [5, 5, 4, 3, 5, 4, 2, 3, 5, 4, 5, 5, 2, 3, 3, 4, 4, 3, 3, 5, 4, 2, 3, 4, 3, 4, 4, 3, 5], "3410": [3, 4, 3, 3, 5, 2, 3, 2, 3, 4, 4, 1, 4, 2, 3, 4, 3, 4, 5, 4, 2, 2, 2, 4, 4, 4, 5, 1, 3, 3, 4, 4, 5, 1, 3, 4, 3, 3, 3, 2, 4, 5, 3, 2, 4, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 2, 1, 3, 3, 4, 4, 5, 2, 2, 2, 3, 2, 3, 3, 5, 3, 4, 3, 5, 5, 5, 2, 5, 5, 4, 3, 1, 2, 4, 1, 2, 2, 3, 3, 1, 3, 4, 4, 3, 3, 1, 3, 4, 2, 2, 4, 2, 2, 3, 3, 3, 2, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 2, 2, 3, 2, 4, 2, 3, 2, 3, 3, 2, 3, 3, 4, 5, 3, 2, 1, 2, 4, 1, 2, 4, 3, 3, 4, 2, 2, 2, 2, 2, 4, 3, 5, 3, 4, 3, 5, 4, 4, 3, 3, 2, 3, 2, 3, 2, 4, 3, 3, 4, 5, 2, 2, 3, 5, 3, 3, 3, 3, 3, 4, 5, 4, 2, 3, 2, 4, 4, 3, 1, 4, 1, 4, 4, 3, 5, 4, 3, 1, 4, 4, 4, 1, 5, 3, 3, 3, 4, 3, 4, 3, 3, 5, 5, 2, 4, 2, 3, 1, 5, 3, 4, 3, 3, 1, 3, 3, 4, 4, 2, 1, 2, 3, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 2, 2, 3, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 5, 4, 4, 2, 4, 4, 2, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 2, 4, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 4, 1, 3, 3, 3, 4, 3, 2, 3, 4, 5, 4, 2, 3, 2, 1, 3, 3, 3, 1, 4, 2, 4, 2, 4, 1, 2, 4, 2, 2, 4, 3, 4, 2, 3, 5, 2, 4, 2, 4, 2, 4, 4, 4, 4, 2, 3, 3, 3, 3, 2, 4, 2, 2, 2, 4, 4, 2, 4, 3, 4, 2, 4, 3, 4, 4, 4, 2, 5, 5, 2, 2, 3, 3, 3, 3, 5, 3, 2, 4, 3, 4, 4, 2, 4, 4, 1, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 4, 4, 2, 4, 2, 4, 3, 4, 1, 3, 3, 4, 3, 2, 2, 3, 3, 5, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 4, 3, 2, 3, 4, 2, 4, 4, 2, 4, 4, 5, 4, 4, 5, 5, 2, 2, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 1, 4, 3, 4, 3, 2, 3, 3, 3, 4, 5, 4, 3, 1, 2, 4, 3, 3, 2, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 4, 2, 4, 2, 2, 2, 3, 3, 2, 1, 4, 3, 3, 2, 3, 1, 4, 4, 4, 2, 4, 3, 3, 3, 5, 3, 2, 3, 4, 2, 2, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 2, 2, 2, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 2, 3, 4, 2, 3, 4, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4, 2, 4, 4, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 5, 1, 4, 3, 3, 4, 4], "2815": [4, 3, 4, 3, 5, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 5, 4, 3, 4, 5, 4, 3, 3, 3, 3, 5, 5, 5, 3, 4, 1, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3], "357": [5, 5, 1, 5, 4, 1, 4, 5, 4, 5, 5, 1, 1, 4, 4, 5, 1, 5, 5, 1, 2, 1, 1, 3, 2, 4, 4, 4, 4, 2, 2, 4, 1, 5, 4, 4, 2, 5, 4, 5, 2, 2, 1, 5, 5, 4, 3, 5, 4, 5], "3601": [4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 3, 3, 5, 4, 5, 2, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4], "1141": [4, 5, 2, 3, 5, 4, 5, 5, 4, 4, 5, 3, 2, 4, 5, 3, 5, 5, 5, 3, 4, 3, 5, 3, 5, 4, 2, 2, 5, 3, 2, 5, 5, 3, 4, 3, 3, 4, 5, 3, 4, 5, 2, 5, 5, 2, 1, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 1, 2, 1, 3, 3, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 1, 4, 3, 5, 3, 4, 2, 5, 4, 5, 1, 4, 3, 2, 1, 4, 2, 4, 4, 2, 4, 1, 5, 5, 1, 3, 3, 4, 5, 3, 5, 5, 5, 5, 3, 1, 5, 2, 2, 2, 2, 1, 3, 5, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 2, 4, 3, 2, 2, 3, 3, 4, 2, 1, 1, 5, 1, 1, 2, 5, 4, 5, 2, 1, 4, 5, 4, 5, 5, 3, 2, 1, 3, 3, 1, 2, 2, 3, 1, 1, 1, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 2, 5, 3, 4, 4, 2, 2, 1, 2, 4, 4, 5, 4, 2, 3, 1, 5, 3, 1, 3, 3, 2, 5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 3, 1, 1, 2, 5, 5, 5, 2, 1, 5, 5, 5, 1, 4, 1, 2, 1, 5, 5, 4, 4, 3, 5, 4, 1, 3, 2, 1, 4, 4, 5, 1, 2, 1, 1, 5, 1, 3, 4, 5, 5, 1, 3, 3, 3, 3, 5, 4, 4, 4, 3, 1, 1, 2, 4, 4, 1, 5, 5, 1, 5, 4, 5, 5, 1, 4, 4, 1, 1, 5, 3, 3, 2, 4, 1, 2, 3, 2, 5, 2, 2, 3, 5, 3, 4, 4, 5, 4, 2, 4, 4, 5, 3, 5, 4, 2, 3, 1, 2, 5, 3, 5, 2, 5, 5, 4, 4, 1, 1, 1, 4, 5, 3, 5, 4, 2, 5, 4, 3, 4, 1, 5, 3, 3, 2, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 2, 4, 3, 4, 5, 5, 4, 5, 1, 3, 3, 4, 4, 4, 3, 4], "2093": [3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 5, 3, 1, 4, 5, 4, 5, 1, 1, 4, 4, 3, 4, 5, 4, 5], "3548": [1, 1, 4, 3, 4], "1521": [3, 2, 4, 3, 3, 3, 4, 5, 4, 3, 4, 3, 1, 4, 1, 4, 2, 4, 4, 4, 4, 3, 2, 5, 5, 5, 5, 3, 3, 3, 1, 3, 3, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 1, 5, 3, 3, 3, 2, 4], "584": [5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4], "5473": [3, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 5, 5, 3, 5, 3, 5, 4, 3, 4, 3, 4, 2, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 1, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 3, 4, 5, 2, 4, 4, 4, 1, 1, 3, 4, 4], "4290": [5, 5, 5, 5, 4, 3, 5, 2, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 2, 4, 5, 5, 2, 5, 5, 4, 4, 5, 1, 4, 5, 5, 3, 4, 4, 5, 5, 3], "1330": [5, 4, 2, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 4, 3, 4, 3, 4, 5, 4, 5, 5, 5, 3], "3974": [5, 3, 5, 5, 4, 2, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5], "3243": [4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 3, 3, 4, 5, 3, 3, 2, 1, 2, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 3, 4, 5, 3, 5, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 2, 4, 5, 3, 5, 3, 5, 4, 4, 4, 2, 4, 4, 5, 3, 2, 5, 5, 2, 5, 4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 1, 5], "1786": [5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4], "4944": [5, 5, 3, 4, 3, 4, 5, 5, 1, 5, 5, 5, 5, 5, 5, 4, 5, 4], "5836": [4, 5, 3, 4, 4, 5, 4, 3, 4, 1, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4], "4730": [4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 2, 5, 4, 5], "2785": [4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 3], "5660": [3, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 5, 4], "1673": [3, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4], "4985": [4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 5, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 2, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5], "3861": [3, 5, 4, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 5, 5, 3, 3, 4, 4, 5, 4], "2737": [2, 4, 3, 2, 5, 5, 4, 2, 4, 2, 2, 4, 5, 3, 5, 2, 4, 4, 3, 3, 4, 5, 3, 3, 5, 5, 4, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 5, 4, 2, 4, 2, 3, 4, 3, 3, 3, 2, 3, 4, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 2, 5, 4, 3, 4, 3, 4, 2, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 3, 4, 3, 4, 1, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 2, 3, 4, 4, 4, 4, 2, 1, 3, 5, 4, 4, 3, 4, 2, 4, 2, 2, 4, 5, 3, 4, 5, 3, 3, 2, 2, 4, 3, 4, 1, 5, 5, 1, 3, 3, 3, 3, 4, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 3, 2, 5, 3, 3, 3, 3, 3, 3, 5, 4, 4, 5, 5, 2, 4, 5, 4, 3, 3, 3, 3, 3, 5, 3, 5, 3, 4, 4, 3, 2, 3, 3, 3, 3, 5, 5, 2, 3, 2, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 2, 3, 4, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 2, 2, 4, 5, 4, 2, 2, 3, 4, 3, 5, 4, 4, 3, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 5, 3, 4, 2, 5, 2, 2, 3, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 2, 5, 4, 3, 4, 4, 3, 2, 4, 2, 5, 4, 4, 3, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 3, 5, 4, 4, 4, 2], "986": [4, 4, 4, 5, 4, 3, 3, 4, 1, 4, 3], "4986": [4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 3, 5], "3163": [3, 5, 4, 3, 5, 2, 4, 3, 5, 5, 5, 4, 4, 5, 2, 5, 5, 5, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 2, 5, 4, 3, 4, 5, 2, 4, 5, 4, 3, 5, 2, 3, 3, 5, 3, 4, 3, 4, 4, 5, 1, 4, 4, 5, 3, 3, 4, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 4, 4, 4, 3, 2, 5, 4, 2, 4, 4, 4, 5, 4, 3, 3, 3, 3, 2, 4, 3, 5, 4, 4, 4, 5, 4, 4, 1, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 4, 5, 5, 5, 1, 4, 5, 5, 3, 5, 4, 5, 2, 5, 4, 2, 4, 5, 2, 4, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 1, 2, 2, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 2, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 5, 3, 5, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 2, 5, 4, 4, 4, 5, 2, 4, 4, 3, 3, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 2, 4, 4, 5, 1, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 5, 3, 2, 4, 4, 5, 5, 1, 5, 5, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 3, 1, 3, 5, 3, 5, 4, 3, 5, 4, 5, 2, 4, 3, 4, 5, 5, 4, 5, 5, 4, 2, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 2, 5, 2, 5, 5, 4, 4, 5, 3, 2, 5, 3, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 2, 4, 3, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 5, 2, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 2, 4, 4, 5, 3, 5, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 1, 3, 4, 5, 4, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 2, 4, 2, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 5, 2, 3, 3, 1, 4, 5, 1, 4, 5, 4, 3, 5, 4, 5, 4, 3, 2, 4, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 2, 3, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 4, 3, 5, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 2, 5, 5, 4, 3, 5, 3, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 5, 3, 5], "4745": [4, 4, 2, 2, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 1, 5, 5, 5, 3, 1, 5, 2, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 1, 5, 5, 4, 5, 3, 5, 3, 5, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 3, 1, 4, 3, 5, 5, 1, 2, 1, 2, 5, 3, 4, 5, 1, 2, 4, 4, 5, 5, 5, 2, 1, 5], "2751": [1, 2, 4, 4, 4, 4, 4, 3, 1, 5, 4, 4, 3, 3, 2, 3, 3, 5, 4, 4, 3, 5, 3, 5, 4, 5, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 2, 3, 4, 5, 3, 3, 3, 5, 3, 3, 1, 4, 3, 4, 3, 4, 2, 3, 4, 2, 2, 3, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 4, 3, 5, 3, 4, 4, 3, 5, 2, 4, 3, 5, 5, 3, 2, 4, 4, 3, 5, 4, 2, 2, 3, 5, 2, 4, 4, 2, 2, 3, 4, 4, 4, 3, 3, 5, 5, 4, 2, 3, 3, 4, 2, 3, 3, 2, 3, 2, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 2, 4, 3, 2, 4, 4, 4, 3, 4, 2, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4], "1430": [5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 2, 4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 2, 4, 5, 4, 2, 3, 5, 3, 5, 5, 5, 2, 5, 5, 3, 5, 4, 5, 5, 5, 3], "3076": [5, 5, 5, 2, 5, 4, 4, 3, 5, 3, 5, 3, 5, 3, 3, 1, 5], "710": [5, 4, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 3, 5, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 3, 1, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 1, 4, 4, 2, 5, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 4, 2, 2, 3, 4, 5, 5, 5, 3, 4, 4, 2, 3, 5, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 5, 5, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 4, 2, 4, 2, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 3, 3, 1, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 3, 3, 3, 4, 2, 4, 2, 4, 3, 3, 4, 3, 4, 3, 2, 2, 2, 3, 3, 5, 4, 2, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 5, 3, 4, 5, 4, 2, 3, 1, 3, 1, 4, 3, 4, 3, 4, 2, 4, 3, 3, 3, 1, 3, 5, 2, 4, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 3, 3, 4, 5, 4, 5, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 2, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 1, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 2, 5, 4, 4, 5, 5, 4, 3, 3, 4, 1, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 2, 4, 4, 3, 4, 4, 5, 1, 5, 5, 3, 2, 4, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 2, 4, 2, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 2, 3, 4, 3, 2, 3, 4, 4, 4, 2, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 5, 4, 2, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 1, 4, 2, 4, 4, 3, 3, 4, 3, 2, 2, 4, 3, 2, 2, 4, 1, 4, 2, 1, 4, 1, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 2, 4, 2, 2, 5, 3, 3, 4, 4, 1, 4, 4, 1, 3, 4, 3, 4, 4, 3, 2, 4, 2, 3, 3, 4, 2, 4, 3, 5, 4, 3, 1, 4, 3, 4, 3, 3, 4, 3, 3, 1, 3, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 2, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 2, 4, 1, 4, 4, 3, 3, 4, 3, 5, 1, 4, 4, 2, 4, 4, 4, 5, 3, 3, 4, 1, 4, 4, 4, 5, 3, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 2, 5, 3, 4, 4, 5, 4, 2, 5, 1, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 5, 3, 5, 4, 3, 5, 4, 4, 2, 4, 2, 4, 5, 2, 3, 3, 5, 3, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 2, 4, 4], "885": [4, 5, 4, 5, 5, 4, 5, 2, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4], "2877": [4, 2, 4, 4, 2, 4, 4, 3, 3, 2, 2, 2, 1, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 5, 3, 5, 5, 5], "4565": [4, 2, 5, 4, 3, 5, 4, 5, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 1, 5, 3], "1982": [4, 5, 3, 4, 4, 3, 2, 5, 2, 3, 5, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 1, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 5, 3, 5, 5, 5, 5, 4, 3, 5, 4, 4, 1, 5, 3, 5, 4, 3, 5, 3, 5, 3, 3, 3, 2, 4], "3182": [3, 4, 3, 4, 5, 1, 3, 1, 1, 5, 4, 1, 1, 2, 3, 2, 2, 1, 2, 4, 3, 2, 1, 5, 1, 3, 3, 4, 2, 1, 4, 1, 3, 1, 2, 4, 2, 5, 5, 2, 5, 1, 5, 3, 4, 2, 2, 3, 3, 4, 2, 5, 5, 5, 4, 3, 4, 4, 2, 3, 5, 4, 3, 2, 3, 4, 4, 5, 5, 2, 4, 4, 5, 4, 4, 5, 2, 3, 2, 2, 1, 5, 3, 3, 3, 4, 1, 5, 5, 1, 5, 2, 4, 2, 4, 3, 4, 5, 4, 2, 4, 3, 3, 4, 1, 4, 3, 5, 5, 3, 1, 1, 3, 4, 3, 2, 1, 2, 3, 4, 1, 3, 3, 1, 4, 1, 2, 3, 2, 4, 2, 3, 1, 2, 4, 4, 1, 2, 1, 4, 5, 3, 1, 2, 3, 3, 2, 1, 5, 5, 5, 2, 2, 2, 2, 4, 3, 4, 3, 2, 4, 3, 4, 4, 1, 3, 2, 2, 1, 2, 4, 5, 1, 3, 1, 3, 3, 5, 3, 5, 2, 5, 4, 4, 4, 3, 5, 1, 2, 3, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 2, 3, 5, 4, 3, 4, 2, 2, 1, 4, 3, 3, 3, 3, 4, 1, 2, 4, 1, 2, 2, 3, 4, 4, 4, 2, 2, 1, 5, 5, 4, 2, 4, 1, 2, 2, 4, 4, 3, 4, 2, 2, 1, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 1, 1, 5, 2, 1, 5, 5, 4, 4, 4, 3, 3, 3, 2, 1, 3, 2, 2, 3, 3, 5, 2, 3, 1, 1, 1, 1, 3, 2, 4, 1, 3, 2, 1, 5, 4, 2, 4, 3, 2, 3, 3, 4, 1, 3, 3, 2, 1, 4, 3, 5, 5, 3, 3, 1, 1, 3, 3, 4, 2, 2, 3, 4, 5, 4, 3, 3, 4, 3, 1, 2, 3, 2, 3, 5, 2, 4, 5, 2, 3, 2, 2, 3, 4, 4, 3, 1, 4, 4, 1, 3, 1, 4, 3, 3, 1, 3, 2, 3, 4, 3, 1, 3, 1, 3, 2, 5, 1, 1, 3, 3, 5, 3, 4, 3, 3, 2, 4, 3, 3, 1, 2, 1, 4, 4, 4, 4, 2, 1, 3, 3, 4, 3, 5, 5, 2, 5, 3, 4, 4, 5, 3, 1, 5, 2, 4, 3, 2, 3, 3, 3, 3, 5, 4, 3, 2, 3, 3, 1, 4, 3, 4, 3, 2, 5, 4, 2, 3, 1, 1, 4, 5, 2, 2, 1, 3, 4, 3, 2, 2, 1, 5, 1, 1, 1, 2, 4, 4, 4, 3, 4, 3, 2, 5, 3, 3, 2, 1, 4, 5, 1, 5, 2, 3, 5, 5, 2, 2, 5, 2, 5, 3, 2, 5, 2, 3, 1, 2, 2, 5, 5, 3, 5, 4, 5, 3, 5, 3, 2, 2, 4, 3, 5, 5, 1, 3, 4, 4, 5, 3, 5, 4, 3, 3, 5, 5, 4, 4, 5, 1, 3, 4, 4, 3, 5, 2, 3, 4, 3, 4, 3, 3, 4, 3, 1, 3, 5], "113": [4, 3, 3, 4, 4, 4, 3, 4, 1, 4, 5, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 1, 4, 1, 1, 2, 1, 5, 2, 1, 4, 1], "4749": [4, 4, 4, 2], "3249": [5, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 1, 1, 4, 5, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 5, 4, 2, 5, 2, 5, 5, 5, 3, 3, 4, 4, 3, 4], "4144": [4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 5, 2, 2, 3, 5, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 4, 1, 3, 3, 3, 3, 4, 2, 4, 3, 4, 2, 4, 1, 3, 4, 4, 2, 5, 3, 4, 3, 3, 3, 4, 4, 3, 2, 4, 2, 4, 3, 3, 5, 3, 3, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 5, 3, 3, 2, 4, 3, 4, 4, 3, 2, 3, 2, 2, 4, 4, 5, 4, 4, 3, 3, 5, 2, 4, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3], "1857": [5, 5, 5, 4, 3, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 3, 4, 4, 5], "1403": [4, 4, 3, 3, 5, 5, 5, 5, 3, 3, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 5, 4, 4, 2, 4, 5, 4, 5, 1, 5, 4, 4, 4, 4], "1346": [5, 4, 3, 2, 2, 4, 4, 3, 5, 3, 3, 3, 3, 5, 4, 5, 2, 3], "4257": [2, 4, 3, 4, 4, 4, 2, 5, 3, 3, 2, 4, 2, 3, 2, 4, 3, 2, 2, 4, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 1, 3, 2, 2, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 3, 3, 4, 2, 3, 3, 4, 1, 3, 4, 3, 3, 4, 4, 4, 5, 5, 2, 5, 3, 3, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 3, 4, 5, 3, 3, 3, 4, 2, 2, 5, 3, 3, 3, 2], "2128": [4, 5, 4, 5, 4, 3, 2, 4, 4, 3, 4, 4, 3, 4, 3, 5], "2472": [4, 3, 5, 3, 3, 3, 4, 3, 4, 2, 5, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 2, 3, 3, 5, 4, 3, 4, 3, 5, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 2, 3, 4, 4, 3, 5, 2, 5, 5, 2, 3, 4, 3, 3, 2, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 5, 3, 2, 2, 4, 4, 5, 3, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 3, 2, 4, 4, 3, 3, 3, 4, 3, 3, 5, 3, 3, 5, 4, 4, 3, 5, 5, 2, 2, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 3, 5, 5, 4, 4, 5, 3, 4, 4, 2, 2, 1, 3, 3, 4, 5, 2, 1, 5, 4, 2, 3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 2, 3, 5, 5, 3, 5, 3, 5, 2, 2, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 4, 2, 5, 3, 3, 3, 4, 3, 3, 4], "3806": [5, 3, 4, 3, 3, 3, 2, 4, 1, 3, 5, 1, 4, 5, 3, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 4, 2, 5, 5, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 3, 2, 1, 1, 1, 3, 3, 4, 4, 3, 4, 3, 3, 2, 3, 3, 1, 3, 3, 4, 3, 2, 4, 3, 3, 3, 3, 2, 1, 3, 2, 4, 5, 3, 3, 2, 2, 1, 3, 3, 4, 3, 1, 2, 2, 3, 5, 2, 2, 4, 4, 4, 4, 3, 3, 3, 2, 1, 4, 1, 4, 2, 4, 3, 2, 3, 3, 1, 3, 3, 2, 4, 3, 3, 3, 5, 1, 3, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 5, 1, 3, 4, 1, 2, 4, 5, 4], "3372": [5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 1, 5, 3, 5, 5, 5, 4], "5532": [4, 4, 3, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 5, 2, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 4, 1, 5, 3, 4, 3, 4, 3, 3, 3, 3, 1, 3, 5, 3, 3, 3, 5, 5, 3, 5, 3, 1, 5, 4, 3, 5, 5, 3, 3, 3, 3, 4, 4, 3, 5, 2, 4, 2, 1, 4, 3, 3, 3], "726": [4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 5, 3, 4, 4, 4, 4, 2, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 3, 3, 4, 4], "2832": [5, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 5, 5, 4, 4, 5, 3, 4, 5, 2, 2, 4, 5, 4, 4, 3, 5, 5, 3, 5, 5, 5, 4, 5, 4, 3, 5, 2, 4, 4, 4, 4, 5, 2, 3, 4, 3, 5, 5, 5, 5, 4, 4, 2, 4, 4, 3, 3, 5, 4, 4, 3, 5, 5, 5, 3, 5, 3, 5, 3, 5, 4, 1, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 2, 5, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5], "2796": [3, 4, 3, 3, 2, 2, 2, 3, 2, 3, 3, 4, 4, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 3, 3, 4, 2, 3, 3, 4, 2, 3, 2, 3, 2, 3, 4, 2, 3, 2, 2, 3, 1, 2, 1, 3, 3, 2, 1, 2, 5, 2, 5, 5, 3, 2, 3, 2, 3, 2, 5, 3, 2, 2, 1, 4, 3, 2, 1, 3, 3, 3, 1, 3, 1, 3, 1, 3, 2, 2, 1, 1, 2, 2, 1, 2, 4, 4, 2, 3, 3, 1, 1, 2, 3, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 2, 2, 2, 1, 1, 2, 4, 2, 1, 2, 1, 1, 3, 5, 4, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 4, 4, 1, 1, 3, 3, 3, 2, 2, 3, 4, 1, 3, 3, 2, 1, 4, 1, 1, 2, 4, 3, 3, 2, 4, 2, 2, 2, 1, 2, 1, 3, 3, 1, 1, 2, 2, 1, 2, 5, 3, 4, 3, 4, 2, 1, 2, 4, 2, 3, 3, 2, 4, 1, 1, 1, 2, 2, 2, 2, 1, 2, 4, 2, 4, 2, 2, 2, 2, 4, 1, 2, 5, 2, 1, 3, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 3, 3, 3, 3, 1, 2, 3, 2, 3, 2, 3, 4, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 2, 2, 1, 1, 3, 2, 3, 2, 1, 2, 2, 3, 4, 3, 4, 1, 1, 1, 2, 2, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 2, 2, 2, 4, 4, 4, 2, 1, 3, 2, 4, 2, 3, 4, 1, 4, 3, 3, 2, 4, 3, 1, 3, 1, 3, 4, 3, 3, 2, 5, 4, 4, 2, 1, 3, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 5, 1, 3, 3, 4, 1, 4, 1, 1, 1, 2, 4, 3, 3, 3, 5, 3, 1, 1, 4, 1, 4, 4, 1, 3, 3, 2, 2], "2338": [5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 3, 3, 5, 3, 4, 4, 3, 4, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 1, 3, 4, 4, 4, 4, 5, 3, 4, 4, 1, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 2, 4, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 5, 5, 4, 2, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 5, 4, 1, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 5, 2, 3, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5], "5168": [5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5], "4519": [4, 5, 4, 3, 5, 5, 2, 3, 4, 5, 4, 5, 3, 5, 2, 3, 2, 3, 2, 2, 3, 3, 5, 1, 3, 5, 4, 5, 5, 5, 5, 2, 4, 3, 5, 2, 5, 4, 5, 3, 2], "400": [4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5], "4076": [4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 3, 5, 3, 2, 4, 4, 2, 5, 4], "1771": [5, 5, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 3, 3, 5, 4, 5, 5, 5, 2, 5, 5], "3902": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5], "209": [3, 4, 4, 3, 4, 4, 3], "1049": [1, 3, 4, 2, 4, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 5, 3], "4178": [4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3], "5601": [3, 2, 5, 5, 4, 3, 2, 4, 4, 5, 5, 3, 5, 2, 4, 5, 5, 5, 1, 2, 4, 4, 3, 4, 4, 4, 3, 2, 3, 2, 3, 2, 4, 2, 3, 3, 2, 3, 5, 3, 2, 4, 3, 3, 4, 4, 2, 4, 5, 3, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 1, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 1, 5, 2, 4, 2, 4], "3858": [2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 1, 2, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 4, 5, 2, 4, 4, 2, 5, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 5, 5, 5, 4, 2, 4, 5, 5, 1, 4, 3, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 5, 4, 5, 2, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 4], "4300": [2, 5, 3, 1, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 3, 5, 2, 3, 2, 3, 5, 4, 2, 2, 4, 5, 2, 1, 4, 2, 4], "1693": [3, 5, 4, 5, 3, 5, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 2, 5, 3, 3, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 5, 2, 4, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 1, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 2, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 3, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 5, 5, 2, 3, 3, 5, 3, 3, 3, 5, 4, 4, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 4, 2, 3, 5, 4, 3, 2, 2, 4, 4, 4, 3, 5, 3, 2, 5, 2, 4, 5, 5, 5, 4, 5, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 3, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 2, 3, 4, 5, 4, 4, 4, 4, 5, 4, 1, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 5, 3, 3, 4, 1, 3, 4, 4, 3, 4, 3, 4, 1, 4, 4, 4, 3, 3, 5, 4, 5, 3, 5, 5, 4, 5, 5, 2, 4, 3, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 5, 3, 2, 3, 5, 5, 4, 4, 3, 4], "4108": [5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 3, 4, 4, 4], "148": [5, 4, 3, 2, 4, 4, 3, 4, 5, 4, 4, 5, 2, 4, 3, 4, 3, 5, 5, 1, 4, 3, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 1, 5, 4, 4, 4, 3, 5, 5, 3, 3, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 2, 2, 4, 2, 3, 3, 4, 4, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 5, 5, 3, 4, 3, 4, 5, 3, 2, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 4, 1, 4, 3, 2, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 3, 5, 4, 3, 4, 2, 4, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 4, 2, 3, 4, 2, 4, 5, 3, 2, 3, 5, 4, 4, 2, 5, 5, 1, 4, 4, 4, 2, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 1, 3, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 3, 1, 3, 3, 4, 5, 4, 3, 2, 5, 3, 3, 3, 4, 5, 5, 3, 3, 4, 3, 4, 3, 5, 2, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 5, 3, 2, 4, 3, 4, 3, 3, 5, 3, 2, 1, 4, 4, 5, 5, 3, 5, 2, 5, 3, 5, 3, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 1, 1, 3, 4, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 2, 3, 2, 3, 4, 5, 5, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 3, 3, 5, 4, 4, 4, 3, 1, 5, 4, 3, 4, 4, 4, 4, 3, 4, 2, 5, 5, 3, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 2, 5, 1, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 3, 4, 3, 3, 4, 4, 2, 5, 4, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 1, 5, 4, 5, 5, 3, 5, 4, 4, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 2, 4, 3, 5, 4, 2, 5, 5, 3, 3, 4, 5, 4, 3, 5, 3, 3, 3, 5, 5, 5, 4, 3, 4, 5, 4, 5, 2, 4, 1, 4, 2, 4, 3, 5, 3, 4, 4, 5, 5, 3, 5, 5, 3, 5, 4, 4, 3, 3], "2681": [2, 4, 4, 4, 2, 4, 5, 3, 3, 4, 5, 5, 5, 4, 1, 5, 4, 3, 4, 5, 4, 5, 4, 3, 5, 5, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 2, 5, 4, 4, 1, 4, 3, 4, 4, 3, 4, 5, 5, 4, 3, 3, 3, 5, 5, 2, 1, 3, 4, 3, 4, 2, 3, 3, 4, 1, 5, 3, 3, 2, 3, 4, 5, 3, 2, 3, 3, 2, 1, 2, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 4, 5, 5, 4, 5, 3, 5, 4, 1, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 2, 5, 3, 3, 4, 3, 3, 3, 5, 3, 2, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 3, 5, 5, 3, 1, 3, 3, 4, 4, 4, 5, 4, 5, 5, 4, 2, 5, 4, 4, 2, 4, 3, 5, 4, 3, 5, 3, 4, 2, 3, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 1, 3, 5, 3, 4, 4, 4, 5, 4, 4], "3726": [4, 3, 3, 3, 3, 4, 1, 3, 5, 5, 4, 3, 4, 4, 5, 4, 3, 3, 2, 5, 3, 5, 4, 5, 3, 5, 5, 3, 4, 4, 3, 4, 5, 3, 2, 4, 5, 5, 2, 4, 5, 3, 4, 2, 3, 3, 3, 2, 3, 2, 4, 4, 4, 4, 3, 5, 2, 4, 5, 4, 4, 5, 3, 2, 5, 4, 2, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 2, 2, 3, 5, 2, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 2, 4, 2, 3, 4, 4, 5, 4, 4, 2, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 5, 3, 3, 2, 1, 3, 3, 3, 3, 4, 3, 3, 5, 4, 3, 3, 2, 3, 3, 5, 4, 5, 1, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 3, 2, 3, 5, 3, 4, 2, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 3, 3, 2, 4, 4, 5, 4, 3, 5, 5, 2, 3, 4, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 4, 3, 5, 3, 4, 3], "702": [4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 3, 2, 5, 4, 3, 3, 3, 5, 5, 2, 5, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 1, 3, 1, 5, 2, 5, 3, 4, 2, 5, 4, 4, 2, 5, 4, 5, 3, 4, 4, 2, 3, 3, 5, 2, 5, 4, 4, 4, 5, 5, 2, 5, 4, 4, 3, 3, 4, 3, 2, 4, 4, 4, 3, 1, 2, 3, 3, 2, 2, 5, 2, 3, 3, 2, 1, 2, 3, 2, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 2, 2, 4, 4, 5, 2, 5, 4, 4, 4, 5, 3, 3, 4, 3, 5, 2, 3, 3, 3, 4, 2, 3, 3, 2, 2, 3, 4, 2, 5, 2, 4, 3, 2, 1, 1, 4, 1, 1, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 2, 4, 2, 3, 4, 3, 2, 1, 2, 2, 4, 3, 4, 2, 4, 5, 4, 3, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 2, 2, 3, 5, 4, 4, 3, 4, 2, 2, 3, 4, 4, 2, 4, 5, 1, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 5, 4, 4, 3, 4, 4, 1, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 4, 5, 3, 3, 4, 1, 3, 4, 3, 4, 3, 3, 4, 4, 1, 1, 1, 1, 2, 3, 4, 4, 3, 4, 3, 2, 2, 4, 1, 1, 3, 2, 2, 1, 5, 3, 4, 4, 5, 1, 3, 3, 3, 4, 2, 3, 3, 3, 5, 1, 3, 4, 4, 3, 3, 1, 3, 4, 3, 2, 4, 4, 4, 5, 5, 2, 2, 1, 4, 5, 4, 5, 4, 2, 3, 4, 3, 5, 4, 3, 4, 2, 4, 4, 5, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 4, 1, 3, 3, 4, 3, 1, 3, 5, 5, 4, 4, 4, 4, 2, 2, 4, 4, 4, 2, 3, 3, 2, 3, 2, 2, 4, 5, 4, 2, 2, 3, 4, 4, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 1, 2, 5, 4, 5, 5, 5, 4, 1, 2, 2, 2, 4, 1, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 2, 4, 5, 4, 3, 5, 4, 5, 3, 3, 3, 4, 1, 3, 3, 4, 3, 5, 5, 4, 5, 2, 4, 3, 4, 1, 4, 3, 3, 4, 2, 3, 1, 3], "3336": [3, 2, 2, 3, 2, 4, 4, 4, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 2, 1, 2, 4, 3, 3, 2, 3, 3, 2, 4, 4, 3, 3, 2, 5, 4, 5, 4, 4, 2, 5, 4, 5, 1, 4, 4, 2, 1, 5, 4, 3, 2, 2, 4, 3, 4, 2, 5, 2, 5, 5, 3, 4, 4, 2, 3, 4, 4, 4, 2, 2, 3, 2, 2, 1, 1, 2, 1, 3, 4, 2, 4, 3, 3, 3, 2, 1, 3, 2, 1, 1, 3, 3, 3, 2, 4, 3, 2, 2, 4, 1, 4, 1, 3, 1, 4, 1, 3, 2, 2, 4, 2, 2, 3, 3, 1, 4, 2, 2, 3, 2, 2, 2, 3, 2, 4, 3, 2, 3, 2, 3, 3, 4, 3, 4, 2, 1, 3, 2, 4, 4, 3, 2, 3, 2, 2, 3, 4, 4, 3, 1, 1, 3, 1, 1, 2, 4, 2, 3, 4, 2, 2, 3, 3, 2, 1, 1, 1, 4, 2, 2, 3, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 3, 1, 2, 3, 1, 5, 2, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 1, 3, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 2, 4, 3, 2, 3, 4, 4, 1, 3, 2, 3, 2, 3, 2, 3, 4, 1, 3, 2, 3, 5, 2, 2, 4, 3, 3, 2, 1, 3, 1, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 3, 2, 3, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 3, 3, 2, 5, 5, 4, 2, 5, 4, 1, 3, 2, 4, 1, 2, 3, 3, 3, 4, 4, 3, 3, 2, 5, 3, 2, 2, 2, 2, 4, 3, 2, 3, 4, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 2, 2, 3, 1, 2, 4, 4, 4, 4, 3, 2, 4, 2, 2, 3, 2, 2, 3, 2, 4, 2, 3, 3, 4, 3, 3, 2, 1, 3, 3, 2, 2, 2, 1, 4, 3, 5, 4, 2, 3, 3, 3, 1, 2, 4, 2, 2, 1, 3, 2, 2, 4, 3, 3, 3, 3, 3, 5, 3, 4, 2, 4, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 4, 2, 2, 1, 3, 4, 3, 3, 2, 2, 3, 2, 1, 4, 3, 4, 1, 3, 3, 1, 3, 1, 3, 3, 2, 2, 4, 1, 3, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 1, 3, 4, 3, 3, 2, 3, 2, 2, 2, 2, 4, 3, 3, 3, 1, 3, 3, 4, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 4, 2, 2, 2, 2, 2, 4, 2, 4, 3, 3, 3, 3, 4, 2, 3, 2, 2, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 1, 2, 4, 4, 4, 3, 2, 1, 3, 3, 2, 2, 4, 4, 1, 4, 2, 3, 4, 2, 4, 2, 2, 3, 1, 4, 3, 5, 3, 4, 1, 4, 2, 3, 3, 2, 4, 2, 3, 3, 5, 3, 4, 1, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 1], "2032": [4, 5, 4, 4, 4, 5, 5, 3, 3, 4, 1, 4, 3, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 2, 2, 2, 2, 2, 1, 5, 4, 5, 3, 4, 1, 5, 5, 4, 2, 4, 5, 5, 5, 4, 3, 2], "2278": [5, 3, 4, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 4, 5, 1, 4, 5, 5, 5, 2, 3, 4, 3, 2, 2, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 1, 5, 5], "3000": [4, 3, 4, 3, 4, 1, 5, 5, 4, 5, 2, 3, 4, 2, 4, 3, 2, 1, 2, 4, 2, 4, 3, 5, 2, 3, 3, 3, 4, 2, 2, 4, 3, 3, 4, 4, 4, 5, 3, 4, 1, 3, 5, 4, 5, 4, 5, 2, 4, 3, 1, 3, 4, 3, 4, 1, 3, 2, 3, 3, 3, 4, 5, 5, 3, 1, 4, 3, 5, 3, 2, 2, 5, 2, 5, 3, 2, 2, 4, 1, 3, 3, 4, 1, 4, 3, 4, 4, 5, 4, 1, 3, 4, 3], "4408": [3, 3, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 3, 4, 5, 4, 2, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 3, 4, 5, 3, 5, 3, 4, 3, 3, 4, 4, 3, 2, 5, 5, 3, 4, 3, 3, 4, 4, 5, 3, 4, 2, 3, 2, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 4, 2, 5, 4, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 2, 4, 4, 3, 5, 5, 4, 5, 3, 3, 2, 5, 2, 5, 4, 4, 2, 3, 5, 4, 3, 5, 4, 5, 4, 5, 4, 2, 3, 5, 3, 3, 5, 3, 3, 2, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 2, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 3, 5, 1, 4, 2, 5, 3, 5, 5, 5, 3, 5, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 3, 4, 3, 2, 3, 4, 4, 3, 4, 5, 4, 3, 1, 4, 3, 5, 5, 4, 3, 2, 4, 3, 4, 3, 3, 5, 2, 5, 4, 2, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 2, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 2, 4, 5, 3, 5, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 2, 5, 4, 5, 2, 2, 3, 4, 5, 5, 3, 4, 2, 4, 4, 3, 5, 4, 4, 3, 4, 2, 3, 2, 2, 1, 4, 2, 5, 5, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5, 2, 3, 4, 5, 3, 3, 4, 3, 4, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 3, 3, 5, 4, 4, 2, 2, 1, 3, 4, 4, 2, 3, 5, 5, 2, 4, 4, 5, 2, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 2, 3, 2, 4, 4, 3, 3, 3, 5, 5, 2, 3, 5, 3, 5, 3, 2, 2, 3, 2, 5, 2, 4, 3, 3, 5, 4, 2, 3, 4, 2, 2, 4, 3, 3, 5, 5, 4, 5, 1, 3, 3, 5, 4, 3, 3, 3, 5, 4, 5, 5, 5, 5, 5], "517": [4, 5, 3, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 3, 5, 4, 3, 4, 5, 3, 4, 1, 4, 4, 1, 5, 4, 5, 4, 3, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 2, 5, 4, 3, 3, 3, 4, 3, 2, 5, 3, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 4, 3, 4, 4, 5, 5, 2, 4, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 5, 1, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 2, 4, 3, 3, 3, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 2, 3, 5], "1121": [3, 4, 5, 5, 1, 4, 1, 3, 3, 4, 3, 5, 4, 4, 4, 5, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 3, 4, 5, 3, 2, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 2, 4, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 2, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 2, 5, 5, 4, 5, 2, 3, 3, 4, 4, 3, 4, 4, 2, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5], "1577": [4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 2, 5, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3], "1934": [3, 2, 4, 5, 2, 3, 5, 2, 2, 4, 3, 4, 3, 3], "2402": [3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 5, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 1, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 3, 2, 2, 5, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 4, 2, 2, 4, 4, 3, 3, 4, 2, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 4, 4, 4, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 1, 4, 2, 4, 4, 4, 3, 2, 3, 2, 3, 2, 3, 4, 1, 4, 4, 5, 3, 2, 1, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 3, 2, 2, 2, 4, 2, 3, 2, 4, 4, 4, 3, 5, 2, 3, 2, 2, 4, 4, 3, 4, 3, 2, 4, 3, 2, 4, 3, 4, 3, 3, 4, 3, 4, 2, 3, 5, 3, 5, 4, 3, 4, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 1, 5, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 2, 2, 2, 3, 1, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 5, 1, 3, 4, 3, 5, 5, 3, 2, 4, 3, 3, 3, 2, 3, 2, 4, 2, 2, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 2, 1, 3, 3, 5, 1, 4, 2, 4, 1, 4, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 5, 2, 4, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 5, 4, 4, 5, 5, 2, 4, 3, 3, 3, 4, 1, 5, 5, 3, 5, 5, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 2, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3], "5679": [5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 4, 3, 5, 2, 5, 4, 3, 4, 5, 5, 3, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5], "5017": [4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4], "1653": [5, 4, 2, 4, 3, 4], "633": [4, 2, 5, 4, 3, 4, 3, 5, 5, 5, 4, 5], "4227": [3, 4, 1, 1, 4, 3, 1, 3, 1, 3, 3, 5, 3, 2, 1, 1, 4, 2, 3, 1, 5, 4, 3, 5, 2, 3, 4, 5, 3, 3, 4, 4, 2, 1, 1, 1, 5, 4, 2, 1, 2, 4, 1, 4, 4, 3, 5, 3, 1, 3, 3, 1, 2, 3, 4, 5, 1, 1, 2, 4, 5, 1, 3, 1, 1, 3, 1, 4, 1, 1, 3, 3, 4, 4, 1, 1, 5, 5, 3, 1, 5, 1, 4, 2, 5, 5, 1, 4, 4, 1, 5, 1, 4, 3, 5, 1, 4, 1, 1, 3, 2, 5, 4, 1, 1, 1, 1, 1, 1, 3, 5, 4, 3, 5, 5, 5, 1, 5, 4, 5, 4, 3, 5, 5, 3, 4, 1, 1, 3, 4, 5, 5, 3, 4, 2, 5, 4, 5, 1, 4, 3, 1, 4, 1, 3, 4, 4, 1, 2, 3, 4, 1, 4, 1, 1, 1, 3, 1, 1, 1, 4, 1, 3, 2, 2, 3, 1, 4, 5, 4, 4, 3, 3, 2, 2, 1, 1, 2, 1, 4, 5, 2, 3, 1, 4, 5, 3, 3, 1, 1, 1, 1, 4, 3, 3, 1, 1, 2, 1, 1, 3, 4, 1, 2, 1, 1, 4, 5, 1, 2, 4, 2, 2, 3, 3, 3, 4, 5, 2, 4, 1, 1, 5, 3, 1, 5, 3, 3, 4, 4, 5, 1, 1, 2, 1, 1, 5, 2, 4, 3, 4, 1, 1, 1, 4, 1, 4, 1, 4, 4, 4, 1, 3, 2, 4, 2, 3, 4, 3, 1, 5, 4, 4, 1, 5, 5, 5, 2, 1, 5, 3, 3, 3, 4, 4, 4, 2, 3, 2, 1, 5, 1, 4, 3, 1, 1, 2, 5, 1, 1, 5, 4, 1, 2, 1, 3, 1, 1, 1, 1, 4, 4, 3, 3, 4, 3, 5, 3, 1, 4, 3, 2, 2, 4, 3, 4, 4, 3, 3, 1, 3, 3, 1, 4, 3, 5, 1, 4, 5, 3, 3, 3, 3, 3, 1, 3, 1, 1, 2, 1, 1, 4, 4, 4, 4, 3, 3, 3, 4, 1, 1, 1, 1, 3, 2, 1, 1, 4, 3, 1, 3, 1, 2, 5, 1, 3, 2, 3, 4, 1, 1, 3, 3, 4, 4, 1, 4, 1, 3, 4, 3, 4, 3, 1, 1, 1, 2, 4, 5, 3, 1, 3, 2, 5, 5, 2, 1, 4, 3, 3, 4, 2, 3, 1, 1, 2, 3, 4, 4, 4, 1, 4, 1, 4, 4, 2, 1, 3, 4, 3, 5, 4, 4, 2, 4, 1, 5, 4, 4, 1, 1, 4, 3, 1, 1, 4, 4, 3, 4, 3, 3, 5, 4, 1, 2, 1, 1, 1, 4, 1, 4, 1, 4, 1, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 1, 4, 1, 5, 3, 3, 5, 3, 1, 1, 1, 4, 5, 2, 3, 4, 3, 1, 3, 3, 3, 1, 4, 4, 4, 5, 1, 4, 1, 5, 1, 4, 3, 1, 1, 1, 2, 2, 3, 4, 5, 4, 3, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 1, 5, 2, 3, 3, 4, 4, 2, 1, 1, 4, 3, 1, 5, 4, 1, 1, 3, 1, 1, 2, 3, 1, 1, 5, 5, 2, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 1, 1, 2, 5, 1, 5, 5, 1, 5, 4, 5, 1, 1, 3, 4, 5, 4, 4, 4, 3, 1, 4, 3, 4, 1, 5, 4, 3, 3, 2, 2, 3, 5, 4, 4, 5, 4, 4, 1, 4, 4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 4, 4, 5, 3, 2, 3, 3, 4, 5, 4, 5, 3, 4, 5, 3, 1, 5, 4, 3, 5, 1, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 2, 1, 4, 3, 1, 3, 2, 2, 3, 3, 4, 1, 1, 5, 3, 1, 1, 4, 4, 1, 4, 1, 1, 1, 4, 3, 1, 1, 5, 1, 1, 5, 4, 5, 2, 3, 3, 3, 5, 3, 2, 1, 3, 1, 2, 4, 2, 3, 2, 1, 4, 4, 3, 1, 1, 4, 4, 1, 3, 1, 1, 4, 5, 4, 4, 3, 3, 4, 4, 1, 4, 1, 4, 3, 1, 2, 1, 3, 5, 3, 3, 3, 3, 4, 2, 4, 5, 4, 1, 1, 3, 3, 4, 1, 1, 4, 2, 2, 3, 3, 4, 4, 2, 2, 3, 1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 3, 5, 3, 4, 1, 1, 4, 1, 1, 2, 4, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 5, 1, 5, 1, 1, 1, 3, 4, 1, 3, 5, 4, 3, 5, 2, 5, 1, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 3, 1, 1, 3, 1, 1, 5, 4, 5, 4, 1, 3, 3, 4, 1, 1, 1, 3, 1, 1, 3, 3, 1, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 1, 3, 1, 5, 5, 1, 4, 3, 4, 3, 2, 4, 1, 3, 1, 1, 1, 3, 3, 4, 3, 3, 2, 5, 4, 5, 1, 3, 4, 3, 2, 1, 1, 4, 1, 4, 3, 5, 3, 1, 5, 1, 4, 3, 4, 2, 4, 3, 3, 2, 4, 1, 2, 1, 2, 1, 3, 5, 1, 1, 2, 1, 1, 3, 1, 5, 4, 4, 4, 2, 2, 4, 2, 2, 1, 3, 2, 3, 4, 1, 4, 1, 1, 1, 1, 4, 2, 2, 1, 1, 5, 1, 5, 3, 1, 1, 4, 4, 1, 3, 2, 4, 4, 5, 1, 4, 1, 2, 1, 5, 3, 1, 4, 4, 3, 4, 1, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 4, 4, 5, 3, 1, 3, 1, 1, 2, 3, 5, 3, 4, 1, 1, 1, 1, 3, 4, 3, 1, 1, 5, 4, 4, 4, 3, 3, 5, 1, 4, 1, 1, 1, 2, 4, 2, 3, 3, 2, 1, 2, 3, 4, 4, 1, 1, 1, 1, 1, 2, 3, 5, 1, 1, 1, 5, 4, 4, 4, 5, 2, 3, 1, 2, 1, 3, 2, 2, 3, 4, 4, 3, 1, 4, 3, 1, 5, 1, 3, 4, 5, 1, 2, 5, 1, 4, 5, 2, 2, 3, 1, 1, 1, 1, 3, 3, 4, 3, 4, 1, 4, 1, 4, 3, 2, 1, 1, 1, 2, 4, 5, 3, 4, 4, 1, 1, 1, 3, 1, 4], "626": [5, 3, 5, 5, 4, 4, 3, 5, 4, 3, 3, 5, 4, 4, 3, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 3, 1, 2, 5, 4, 5, 3, 3, 3, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5], "2224": [4, 3, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4], "1060": [2, 4, 5, 4, 4, 3, 4, 5, 4, 3, 2, 2, 2, 4, 3, 3, 2, 5, 2, 4, 3, 5, 4, 3, 3, 4, 2, 5, 3, 5, 3, 3, 4, 1, 2, 2, 4, 2, 3, 3, 2, 2, 5, 2], "2244": [5, 5, 3, 5, 1, 2, 5, 5, 5, 4, 4, 1, 4, 5, 1, 1, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 5, 4, 5, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 1, 5, 4, 1, 5, 4, 5, 4, 1, 5, 2, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 1, 4, 1, 1, 4, 3, 4, 1, 1, 4, 4, 5, 1, 5, 5, 1, 1, 1, 4, 5, 5, 1, 1, 1, 5, 3, 1, 5, 5, 1, 5, 3, 5, 2, 5, 1, 2, 5, 4, 5, 1, 1, 5, 5, 5, 2, 5, 5, 3, 5, 5, 5, 1, 5, 1, 4, 5, 4, 3, 3, 5, 4, 5, 2, 1, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 1, 1, 3, 4, 4, 4, 1, 5, 5, 4, 1, 5, 5, 4, 2, 1, 2, 5, 5, 5, 5, 5, 4, 4, 1, 4, 4, 3, 5, 5, 1, 4, 1, 5, 1, 1, 3, 5, 3, 4, 5, 3, 2, 4, 1, 1, 5, 4, 5, 4, 3, 3, 5, 1, 5, 5, 5, 5, 5, 1, 3, 2, 5, 5, 5, 5, 5, 1, 1, 2, 5, 1, 5, 1, 5, 1, 5, 5, 1, 1, 1, 5, 5, 4, 1, 2, 2, 4, 1, 3, 5, 1, 4, 5, 4, 5, 5, 5, 4, 5, 2, 4, 5, 5, 5, 5, 5, 5, 1, 1, 5, 4, 5, 5, 5, 3, 5, 2, 4, 4, 1, 4, 5, 1, 5, 5, 5, 5, 2, 5, 3, 5, 1, 5, 1, 1, 5, 5, 1, 4, 5, 1, 1, 1, 1, 4, 5, 5, 1, 1, 5], "2385": [3, 5, 4, 2, 3, 4, 4, 3, 3, 4, 5, 3, 5, 3, 4, 3, 5, 3, 5, 3, 3], "2551": [2, 4, 2, 2, 4, 3, 2, 4, 3, 2, 5, 3, 4, 5, 3, 2, 4, 4, 4, 3, 2, 3, 3, 4, 4, 5, 3, 2, 3, 2, 3, 4, 2, 3, 5, 4, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 2, 3], "4597": [1, 4, 4, 5, 3, 3, 5, 1], "4332": [3, 5, 3, 3, 1, 3, 5], "2096": [4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 4, 5, 2, 5, 4, 4, 5, 4, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 1, 4, 5, 4, 5, 2, 5, 5, 1, 4, 4, 3, 3, 1, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 1, 5, 2, 5, 2, 1, 5, 5, 5, 4, 5, 5, 5, 1, 5, 1, 4, 5], "2014": [4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 2, 5, 4, 5, 4, 5, 4, 4, 4, 4], "1001": [4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 2, 2, 3, 3, 2, 4, 4, 2, 2, 3, 1, 5, 5, 4, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 2, 5, 4, 4, 5, 2, 5, 4, 3, 4, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 3, 5, 4, 2, 3, 3, 3, 5, 4, 4, 5, 3, 3, 2, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 5, 2, 3, 5, 3, 5, 2, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 2, 5, 4, 2, 2, 4, 2, 4, 3], "4883": [3, 2, 3, 3, 4, 2, 4, 1, 4, 2, 5, 3, 3, 4, 1, 3, 3, 2, 1, 4, 4, 2, 4, 2, 4, 1, 4, 2, 3, 5, 3, 4, 4, 2], "4989": [4, 5, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 3, 4, 2, 3, 4, 2, 3, 4, 5, 4], "3681": [3, 4, 3, 3, 5, 5, 5, 5, 2, 4, 4, 5, 3, 4, 5, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 5, 4, 3, 1, 5, 5, 3, 4, 4, 4, 5, 2, 4, 5, 1, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 3, 5, 4, 3, 5, 4, 4, 3, 3, 3, 5, 5, 1, 4, 3, 4, 5, 4, 3, 3, 2, 5, 3, 3, 5, 4, 3, 4, 2, 3, 3, 5, 2, 4, 3, 2, 4, 2, 3, 3, 4, 5, 5, 5, 2, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 5, 3, 3, 5, 3, 5, 5, 3, 5, 3, 5, 5, 3, 5, 3, 4, 3, 5, 4, 3, 5, 4, 5, 5, 5, 5, 2, 4, 3, 4, 3, 5, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 1, 4, 2, 3, 3, 4, 5, 3, 1, 3, 1, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 3, 3, 5, 3, 2, 1, 3, 5, 4, 5, 2, 5, 5, 5, 3, 3, 3, 4, 4, 4, 3, 5, 1, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 3, 5, 3, 3, 5, 2, 5, 5, 5, 1, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 1, 3, 4, 4, 5, 3, 5, 4, 2, 1, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 2, 3, 4, 4, 5, 5, 5, 4, 4, 3, 2, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 3, 5, 4, 3, 5, 5, 5, 5, 3, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 3, 5, 5, 2, 2, 2, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 5, 4, 4, 2, 2, 2, 3, 5, 4, 3, 4, 5, 5, 2, 2, 4, 4, 5, 4, 2, 3, 5, 3, 3, 5, 4, 4, 3, 2, 3, 4, 4, 4, 4, 5, 5, 3, 5, 3, 5, 4, 5, 4, 4, 4, 3, 5, 5, 2, 4, 5, 3, 3, 3, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 4, 1, 2, 4, 5, 3, 4, 5, 5, 1, 5, 3, 5, 2, 5, 3, 4, 4, 3, 3, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 5, 4, 4, 2, 5, 5, 3, 4, 3, 5], "2738": [5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4], "5777": [2, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 1, 1, 4, 5, 1, 3, 5, 4, 4, 5, 4, 4, 4, 5, 2, 4, 3, 5, 1, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 2, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 2, 2, 4, 2, 4, 1, 4, 4, 1, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 2, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 4, 5], "1603": [5, 3, 3, 5, 3, 5, 4, 5, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 3, 3, 2, 3, 5, 3, 3, 4, 4, 3, 4, 5, 5, 3], "4582": [4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4], "58": [5, 5, 4, 3, 5, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 1, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 2, 2, 3, 5, 3, 4, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 2, 5, 2, 5, 4, 5, 3, 2, 4, 3, 5, 2, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 2, 2, 3, 4, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 1, 3, 4, 2, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 3, 5, 4, 5, 2, 4, 3, 3, 5, 4, 2, 4, 3, 2, 3, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 3, 4, 3, 5, 1, 3, 4, 5, 4, 4, 3, 4, 3, 2, 4, 1, 3, 3, 2, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 3, 1, 3, 5, 4, 3, 4, 2, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 3, 3, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 3, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 4, 2, 2, 2, 4, 1, 1, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 1, 4, 4, 4, 3, 5, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 2, 4, 5, 4, 4, 5, 4, 3, 5, 2, 4, 4, 5, 2, 5, 5, 3, 4, 5, 5, 4, 5, 3, 5, 4, 4, 4, 3, 1, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4], "2729": [4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5], "5049": [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 3, 3, 4, 5, 2, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4], "3620": [3, 3, 3, 1, 5, 4, 4, 5, 3, 3, 5, 3, 2, 3, 5, 4, 3, 4, 3, 3, 2, 2, 2, 4, 3, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 3, 3, 3, 3, 1, 5, 3, 3, 3, 3, 4, 3, 4, 2, 3, 1, 4, 2, 3, 4, 3, 4, 3, 2, 3, 3, 2, 3, 2, 3, 1, 4, 3, 1, 4, 3, 3, 2, 4, 3, 3, 4, 2, 2, 1, 2, 4, 1, 3, 4, 3, 2, 3, 1, 1, 1, 5, 2, 5, 2, 1, 3, 4, 3, 2, 4, 4, 4, 4, 2, 2, 4, 5, 3, 3, 1, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 2, 4, 2, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 5, 3, 2, 3, 1, 3, 3, 4, 4, 2, 2, 3, 3, 2, 4, 4, 3, 3, 2, 4, 4, 2, 4, 3, 2, 1, 5, 3, 1, 3, 4, 4, 4, 1, 3, 4, 1, 5, 2, 3, 3, 1, 2, 4, 4, 2, 3, 4, 4, 1, 4, 3, 5, 3, 3, 5, 2, 3, 3, 2, 4, 2, 1, 2, 4, 3, 3, 3, 2, 5, 2, 1, 3, 2, 2, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 1, 2, 2, 3, 4, 4, 1, 3, 4, 2, 4, 2, 1, 3, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 3, 5, 2, 4, 3, 2, 5, 4, 4, 5, 3, 1, 3, 3, 4, 5, 5, 3, 3, 4, 4, 2, 3, 2, 2, 4, 4, 3, 4, 5, 3, 3, 3, 3, 3, 5, 3, 1, 1, 3, 3, 3, 4, 4, 2, 3, 3, 5, 4, 4, 3], "1912": [2, 3, 2, 2, 3, 3, 4, 1, 3, 1, 1, 3, 3, 5, 3, 3, 5, 3, 1, 1, 4, 2, 1, 1, 3, 3, 1, 4, 3, 3, 2, 4, 3, 1, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 1, 1, 5, 3, 1, 2, 3, 1, 3, 4, 4, 1, 3, 5, 3, 2, 3, 2, 3, 4, 4, 2, 3, 2, 3, 2, 4, 2, 3, 2, 3, 2, 1, 3, 4, 5, 4, 4, 5, 3, 4, 3, 1, 2, 2, 2, 3, 3, 4, 3, 2, 3, 5, 1, 3, 3, 2, 2, 3, 3, 1, 5, 3, 2, 1, 1, 3, 3, 4, 3, 3, 4, 2, 3, 4, 2, 5, 4, 2, 3, 5, 5, 5, 2, 1, 4, 2, 4, 2, 1, 3, 1, 2, 3, 3, 1, 2, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 5, 1, 1, 3, 4, 3, 1, 4, 1, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 2, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 1, 2, 3, 1, 3, 3, 2, 2, 2, 3, 4, 4, 2, 4, 4, 2, 1, 4, 3, 2, 1, 1, 3, 4, 2, 1, 2, 2, 1, 4, 1, 2, 1, 1, 2, 1, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 3, 3, 4, 2, 2, 2, 2, 5, 3, 3, 1, 3, 1, 3, 1, 4, 2, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 4, 2, 3, 1, 2, 4, 5, 3, 3, 3, 5, 2, 2, 3, 2, 2, 4, 4, 1, 4, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 1, 3, 1, 1, 3, 1, 4, 3, 1, 2, 2, 2, 3, 4, 3, 1, 4, 2, 3, 3, 2, 2, 3, 1, 3, 4, 2, 4, 2, 3, 2, 2, 2, 2, 2, 4, 1, 2, 3, 1, 4, 4, 2, 2, 1, 1, 3, 1, 4, 2, 3, 4, 1, 1, 1, 2, 3, 2, 3, 1, 5, 4, 4, 2, 2, 2, 3, 1, 2, 2, 4, 1, 2, 1, 2, 2, 4, 2, 4, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 5, 2, 3, 2, 3, 2, 1, 2, 3, 4, 3, 4, 2, 1, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 4, 1, 2, 2, 2, 2, 1, 2, 1, 4, 4, 1, 1, 3, 2, 3, 4, 1, 4, 3, 2, 4, 3, 3, 2, 4, 3, 2, 2, 2, 2, 5, 3, 2, 2, 4, 3, 1, 2, 3, 4, 3, 1, 5, 2, 1, 5, 2, 3, 2, 4, 3, 1, 2, 2, 3, 1, 1, 2, 1, 2, 1, 1, 2, 3, 3, 3, 1, 2, 4, 1, 3, 4, 1, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 2, 3, 3, 1, 1, 4, 3, 4, 3, 3, 2, 4, 2, 3, 1, 2, 2, 1, 1, 3, 2, 4, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 1, 3, 1, 3, 3, 1, 3, 1, 2, 3, 1, 4, 2, 1, 2, 4, 3, 2, 2, 1, 2, 4, 2, 3, 3, 3, 2, 2, 3, 4, 2, 3, 1, 3, 5, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 1, 1, 2, 2, 3, 1, 2, 3, 2, 1, 4, 2, 2, 1, 3, 3, 3, 1, 2, 3, 2, 1, 2, 3, 4, 4, 3, 3, 4, 3, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 3, 3, 1, 3, 2, 1, 1, 4, 3, 4, 4, 2, 2, 3, 2, 2, 1, 3, 1, 1, 3, 1, 2, 1, 4, 1, 1, 1, 2, 1, 3, 1, 3, 2, 1, 2, 2, 1, 3, 5, 2, 2, 3, 3, 2, 1, 2, 1, 4, 1, 1, 3, 1, 4, 1, 1, 5, 3, 3, 1, 2, 4, 3, 2, 3, 3, 3, 5, 3, 1, 2, 3, 4, 4, 2, 4, 1, 4, 4, 1, 3, 2, 1, 1, 1, 4, 2, 3, 4, 2, 3, 3, 3, 3, 2, 2, 4, 3, 3, 2, 3, 4, 4, 3, 2, 3, 2, 1, 3, 4, 4, 4, 3, 3, 5, 4, 1, 1, 5, 3, 2, 1, 2, 3, 3, 1, 2, 2, 5, 2, 2, 4, 3, 3, 3, 2, 1, 2, 1, 2, 1, 2, 3, 5, 4, 3, 1, 3, 2, 1, 3, 3, 1, 2, 3, 2, 3, 5, 5, 1, 2, 3, 2, 2, 3, 2, 3, 2, 2, 4, 2, 4, 1, 2, 2, 2, 4, 3, 1, 1], "2909": [5, 4, 5, 2, 2, 3, 5, 4, 2, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 5, 5, 3, 1, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 2, 4, 5, 2, 3, 3, 5, 4, 5, 5, 4, 3, 5, 2, 5, 3, 4, 5, 4, 4, 4, 2, 3, 3, 4, 2, 4, 4, 4, 3, 3, 3, 4, 1, 5, 5, 2, 5, 3, 5, 3, 5, 3, 2, 4, 3, 5, 5, 4, 5, 3, 5, 5, 2, 4, 5, 5, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 2, 3, 5, 5, 4, 5, 4, 4, 5, 1, 3, 4, 5, 4, 5, 4, 3, 3, 1, 2, 2, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 1, 5, 5, 3, 5, 4, 3, 4, 3, 5, 5, 2, 5, 5, 4, 4, 5, 4, 5, 2, 3, 4, 4, 3, 3, 1, 5, 3, 4, 3, 3, 5, 5, 4, 5, 5, 5, 4, 1, 3, 1, 4, 4, 3, 5, 2, 2, 5, 3, 5, 4, 5, 5, 4, 3, 5, 3, 3, 3, 2, 5, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 5, 5, 2, 5, 3, 5, 3, 2, 3, 2, 5, 4, 5, 3, 3, 4, 3, 4, 3, 4, 5, 4, 2, 3, 4, 2, 1, 3, 3, 3, 4, 4, 3, 5, 4, 4, 1, 5, 1, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 2, 5, 3, 4, 5, 5, 5, 3, 3, 5, 4, 4, 2, 5, 2, 3, 3, 2, 4, 5, 5, 3, 4, 2, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 2, 3, 3, 3, 5, 2, 4, 1, 1, 3, 3, 2, 3, 4, 5, 5, 4, 2, 3, 4, 4, 5, 2, 4, 5, 5, 3, 1, 5, 4, 5, 4, 3, 4, 2, 2, 5, 5, 3, 5, 3, 3, 4, 4, 4, 5, 2, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 2, 4, 3, 5, 4, 5, 5, 2, 5, 2, 2, 4, 3, 5, 3, 5, 4, 3, 3, 4, 3, 5, 3, 3, 5, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 1, 3, 4, 2, 4, 5, 4, 2, 5, 5, 4, 3, 5, 5, 5, 2, 1, 4, 3, 4, 5, 2, 3, 4, 2, 3, 5, 3, 5, 4, 4, 5, 3, 1, 2, 2, 2, 4, 3, 4, 2, 5, 5, 4, 3, 4, 1, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 4, 5, 4, 5, 2, 4, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 5, 3, 2, 4, 3, 5, 5, 3, 5, 4, 5, 3, 5, 3, 5, 4, 5, 4, 3, 5, 5, 3, 4, 5, 4, 5, 3, 3, 4, 5, 2, 2, 4, 4, 5, 4, 3, 4, 4, 5, 3, 5, 4, 3, 4, 1, 3, 5, 3, 3, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 5, 1, 4, 4, 4, 2, 5, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 2, 2, 4, 4, 3, 5, 3, 1, 4, 4, 3, 4, 3, 3, 1, 4, 3, 4, 3, 4, 3, 5, 2, 1, 4, 5, 4, 3, 3, 5, 4, 3, 5, 2, 3, 5, 4, 5, 2, 5, 3, 4, 3, 3, 3, 4, 5, 3, 5, 3, 5, 3, 3, 5, 5, 5, 3, 5, 3, 5, 5, 5, 3, 5, 3, 3, 5, 3, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 2, 3, 5, 3, 5, 4, 5, 2, 4, 2, 3, 4, 4, 3, 5, 4, 5, 3, 1, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 2, 5, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 5, 4, 5, 3, 2, 5, 4, 4, 5, 2, 4, 3, 5, 2, 4, 4, 3, 1, 4, 2, 3, 4, 4, 3, 3, 4, 2, 4, 3, 5, 5, 3, 3, 3, 4, 4, 3, 4, 5, 4, 1, 5, 4, 2, 5, 3, 5, 5, 4, 5, 3, 3, 5, 4, 5, 3, 5, 4, 4, 5, 3, 4, 4, 4, 1, 5, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 2, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 3, 3, 1, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 4, 4, 3, 1, 4, 5, 2, 5, 4, 5, 3, 4, 4, 3, 4, 5, 4, 3, 5, 4, 3, 5, 4, 2, 3, 5, 5, 5, 3, 3, 4, 5, 3, 4, 5, 2, 4, 3, 2, 3, 4, 2, 5, 4, 4, 5, 3, 5, 5, 3, 4, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 2, 4, 5, 3, 4, 3, 5, 3, 4, 5, 4, 4, 3, 5, 4, 3, 3, 5, 3, 2, 5, 1, 4, 3, 3, 3, 5, 5, 1, 3, 3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 2, 5, 3, 3, 4, 4, 5, 5, 3, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5], "2830": [3, 4, 1, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 5, 2, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 2, 4, 4, 3, 2, 5, 4, 3, 3, 1, 5, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 5, 3, 4, 3, 3, 3, 3, 3], "4867": [2, 3, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 2, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 2, 2, 4, 3, 5, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5, 3, 4, 2, 3, 4, 5, 2, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 5, 5, 3, 5, 3, 3, 3, 3, 4, 3, 3, 2, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 3, 3, 2, 3, 5, 3, 3, 3, 4, 2, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 2, 4, 4, 2, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 2, 5, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 1, 5, 4, 5, 2, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 2, 4, 5, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 5, 3, 2, 4, 3, 4, 3, 2, 4, 5, 4, 5, 2, 4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 2, 3, 4, 4, 3, 4, 5, 2, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 2, 4, 3, 3, 2, 2, 3, 5, 3, 5, 5, 3, 5, 3, 4, 5, 4, 3, 4, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 3, 4, 2, 5, 3, 2, 3, 5, 5, 5, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 4, 4, 4, 4], "5358": [3, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 1, 4, 4, 3, 4, 5, 4, 5], "4283": [5, 2, 5, 4, 3, 4, 4, 5, 5, 2, 2, 5, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 5, 3, 4, 1, 3, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 5, 5, 3, 4, 4, 3, 5, 2, 4, 3, 5, 4, 5, 3, 4, 5, 2, 1], "1840": [3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 5, 4, 2, 2, 5, 4, 4, 5, 4, 5, 5], "2977": [3, 5, 3, 4, 2, 2, 4, 3, 5, 2], "1442": [4, 2, 3, 4, 2, 1, 4, 2, 1, 5, 2, 3, 2, 3, 5, 4, 2, 5, 1, 5, 1, 3, 4, 1, 3, 3, 3, 3, 3, 2, 4, 4, 4, 1, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 1, 4, 3, 3, 2, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 3, 2, 3, 3, 3, 3, 1, 3, 4, 3, 1, 4, 2, 3, 5, 4, 4, 3, 3, 3, 1, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 3, 2, 4, 3, 1, 3, 2, 3, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 5, 1, 3, 4, 2, 3, 5, 3, 3, 2, 5, 1, 3, 4, 3, 3], "5471": [2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 4, 3, 5, 4, 2], "546": [5, 1, 1, 1, 1, 1, 1, 3, 5, 4, 3, 4, 1, 1, 1, 1, 1, 5, 3, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 1, 5, 3, 4, 3, 5, 1, 2, 4, 5, 3, 1, 1, 1, 4, 5, 4, 4, 1, 5, 4, 4, 5, 3, 4, 4, 1, 4, 1, 2, 4, 5, 4, 4, 4, 5, 2, 3, 4, 2, 3, 1, 4, 4, 1, 1, 4, 3, 3, 1, 4, 4, 3, 5, 5, 5, 5, 4, 2, 5, 4, 5, 5, 4, 1, 1, 3, 1, 5, 5, 3, 1, 3, 4, 3, 1, 4, 1, 3, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 3, 2, 3, 2, 5, 1, 4, 4, 5, 4, 3, 4, 1, 4, 4, 5, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 3, 4, 4, 1, 4, 3, 2, 3, 3, 4, 1, 1, 4, 3, 3, 3, 1, 3, 3, 5], "2018": [4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 5, 5, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 1, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 1, 5, 5, 2, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 1, 4, 4, 5, 5, 4, 4, 1, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 1, 1, 4, 4, 3, 3, 5, 4, 3, 5, 5, 3, 5, 3, 3, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 2, 3, 5, 5, 5, 4, 4, 3, 5, 5, 5, 2, 4, 3, 5, 4, 4, 1, 3, 4, 5, 4, 4, 4, 3, 5, 4, 3, 2, 1, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 3, 5, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 1, 4, 4, 3, 4, 3, 4, 5, 2, 5, 3, 4, 3, 1, 4, 5, 5, 5, 4, 4, 5, 3, 3, 5, 4, 3, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 3, 4, 2, 3, 5, 5, 4, 3, 4, 4, 5, 4, 1, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 1, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 1, 3, 4, 4, 4, 3, 4, 4, 3, 1, 5, 5, 2, 3, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 3, 5, 5, 4, 3, 5, 5, 3, 5, 5, 1, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 1, 5, 5, 5, 5, 4, 4, 4, 5, 5], "506": [5, 3, 3, 4, 3, 4, 2, 5, 3, 3, 3, 2, 2, 4, 4, 3, 3, 3, 4], "4938": [3, 4, 3, 3, 3, 2, 3, 4, 2, 5, 4, 3], "2568": [3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 1], "73": [3, 2, 4, 1, 3, 4, 4, 2, 4, 3, 2, 3, 3, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 2, 4, 3, 1, 4, 1, 3, 4, 2, 3, 4, 4, 3, 4, 5, 5, 2, 4, 3, 5, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 2, 4, 4, 5, 1, 1, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 4, 3, 4, 1, 1, 3, 5, 3, 3, 3, 4, 3, 3, 5, 5, 3, 5, 3, 3, 5, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 1, 3, 4, 3, 4, 3, 3, 3, 2, 2, 4, 4, 2, 5, 3, 5, 4, 5, 3, 4, 3, 4, 3, 2, 5, 5, 4, 5, 2, 3, 2, 3, 2, 3, 3, 3, 4, 2, 4, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 5, 5, 2, 5, 3, 3, 3, 2, 3, 4, 2, 3, 3, 4, 4, 4, 3], "3379": [4, 3, 5, 5, 5, 3, 3, 5], "3657": [4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 3, 3], "216": [1, 3, 3, 3, 3, 3, 2, 1, 2, 4, 1, 3, 2, 3, 5, 4, 4, 4, 5, 3, 3, 3, 2, 2, 1, 4, 4, 2, 3, 5, 3, 4, 4, 4, 4, 2, 3, 4, 2, 3, 2, 4, 4, 3, 4, 2, 4, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 5, 2, 4, 4, 3, 3, 4, 2, 3, 1, 3, 3, 2, 2, 3, 4, 3, 2, 4, 3, 4, 5, 3, 5, 3, 5, 3, 1, 5, 5, 2, 2, 4, 3, 4, 1, 3, 3, 5, 5, 4, 4, 4, 3, 3, 4, 5, 2, 5, 5, 3, 5, 4, 3, 2, 4, 4, 4, 2, 3, 2, 3, 1, 3, 4, 4, 4, 3, 3, 4, 5, 2, 2, 3, 4, 4, 3, 4, 4, 3, 2, 5, 2, 4, 2, 5, 3, 4, 3, 3, 4, 3, 1, 3, 2, 2, 1, 3, 5, 4, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 2, 3, 3, 1, 3, 4, 3, 5, 5, 3, 4, 3, 3, 4, 4, 5, 4, 2, 4, 4, 3, 4, 2, 3, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 3, 2, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 2, 4, 3, 2, 3, 4, 4, 3, 2, 1, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 5, 5, 4, 4, 2, 3, 1, 3, 3, 2, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 2, 4, 3, 3, 4, 3, 3, 5, 3, 4, 2, 5, 3, 3, 3, 2, 3, 4, 3, 2, 2, 2, 4, 3, 2, 3, 3, 2, 5, 3, 2, 2, 4, 1, 2, 5, 2, 3, 4, 4, 4, 2, 3, 5, 2, 4, 3, 3, 3, 5, 5, 2, 3, 4, 4, 4, 2, 3, 4, 3, 2, 4, 5, 3, 2, 3, 4, 2, 3, 2, 2, 4, 2, 4, 2, 4, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 2, 4, 4, 2, 5, 3, 4, 3, 3, 1, 3, 2, 2, 4, 4, 5, 3, 3, 3, 3, 2, 3, 4, 2, 4, 3, 2, 4, 3, 3, 3, 4, 3, 5, 2, 4, 1, 3, 4, 3, 3, 4, 5, 3, 3, 4, 4, 2, 4, 3, 2, 3, 3, 2, 4, 3, 4, 2, 4, 4, 3, 2, 3, 2, 4, 1, 2, 5, 3, 2, 3, 3, 4, 2, 3, 2, 4, 4, 3, 2, 3, 5, 2, 5, 2, 4, 3, 1, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 4, 1, 3, 3, 3, 1, 3, 4, 5, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 4, 4, 2, 4, 1, 4, 4, 3, 3, 1, 2, 4, 4, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 3, 4, 1, 3, 2, 4, 2, 4, 2, 2, 4, 3, 4, 3, 4, 4, 1, 4, 4, 4, 3, 4, 2, 3, 1, 2, 3, 3, 4, 2, 3, 5, 3, 2, 5, 2, 5, 4, 4, 4, 4, 3, 4, 2, 3, 2, 3, 4, 5, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 1, 4, 3, 3, 5, 5, 4, 4, 5, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 1, 4, 5, 2, 1, 4, 3, 2, 4, 5, 2, 4, 2, 3, 2, 2, 4, 2, 4, 2, 2, 5, 3, 4, 3, 3, 3, 5, 5, 2, 3, 2, 3, 3, 3, 2, 2, 4, 1, 5, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 2, 2, 3, 2, 2, 4, 2, 2, 4, 3, 1, 5, 3, 2, 3, 4, 3, 4, 2, 2, 2, 3, 3, 2, 1, 3, 2, 4, 4, 2, 5, 2, 3, 2, 3, 5], "3238": [5, 4, 4, 3, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5], "1969": [4, 4, 2, 3, 5, 3, 5, 5, 5, 2, 4, 4, 5, 3, 3, 5, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 1, 5, 5, 4, 3, 5, 5, 4, 1, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 1, 3, 3, 4, 5, 1, 1, 1, 4, 3, 5, 5, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 2, 5, 5, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 5, 4, 3, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 3, 1, 4, 2, 5, 3, 5, 3, 2, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 3, 5, 3, 3, 4, 5, 3, 3, 5, 4, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 2, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 2, 2, 4, 5, 4, 2, 4, 3, 5, 1, 5, 5, 3, 3, 3, 3, 3, 1, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 5, 4, 2, 4, 3, 4, 2, 4, 5, 5, 4, 5, 2, 3, 2, 3, 4, 4, 4, 4, 5, 5, 4, 1, 4, 4, 4, 5, 4, 1, 3, 2, 3, 5, 4, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 5, 2, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 5, 3, 5, 3, 3, 3, 4, 1, 3, 3, 4, 4, 4, 5, 3, 3, 1, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 3, 3, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 4, 2, 1, 2, 2, 3, 2, 3, 3, 5, 2, 5, 4, 3, 3, 4, 5, 2, 3, 3, 4, 5, 4, 4, 1, 1, 3, 3, 4, 5, 2, 3, 4, 5, 5, 4, 2, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 5], "4803": [4, 5, 3, 4, 3, 5, 3, 5, 3], "2037": [5, 4, 5, 5], "4215": [3, 4, 4, 5, 3, 3, 4, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 4, 3, 3, 3, 5, 4, 3, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 4, 4, 3, 5, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4], "4645": [5, 5, 1, 1, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 1, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 1, 5, 4, 2, 5, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 4, 2, 1, 4, 2, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 2, 4, 1, 5, 1, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5], "1813": [4, 4, 2, 2, 3, 3, 3, 1, 5, 3, 5, 4, 4, 4], "2870": [2, 3, 4, 3, 2, 3, 2, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 2, 2, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 2, 3, 2, 2, 3, 1, 2, 1, 1, 2, 2, 3, 5, 3, 3, 5, 1, 5, 3, 3, 4, 2, 4, 3, 1, 4, 3, 2, 3, 4, 1, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2, 4, 3, 1, 5, 2, 3, 2, 3, 2, 3, 3, 2, 4, 2, 2, 1, 3, 4, 4, 1, 3, 3, 3, 3, 1, 2, 2, 4, 3, 3, 4, 3, 2, 3, 2, 4, 4, 2], "1266": [3, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 1, 3, 1, 1, 3, 5, 4, 3, 3, 4, 4, 5, 3, 3, 2, 3, 4, 4, 5, 4, 5, 4, 5, 3, 3, 3, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 1, 3, 5, 5, 2, 1, 5, 4, 3, 4, 4, 4, 3, 5, 4, 3, 2, 1, 1, 2, 4, 4, 4, 3, 2, 4, 4, 3, 5, 4, 3, 1, 2, 4, 4, 3, 5, 5, 3, 4, 5, 4, 3, 4, 3, 5, 4, 1, 3, 4, 3, 4, 3, 4, 3, 5, 3, 4, 2, 3, 4, 3, 1, 4, 1, 3, 4, 5, 3, 5, 3, 3, 4, 3, 4, 1, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 3, 5, 3, 4, 4, 1, 1, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 1, 2, 3, 1, 3, 4, 4, 3, 1, 3, 3, 4, 3, 1, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 1, 5, 2, 3, 3, 4, 1, 1, 5, 5, 4, 3, 3, 3, 4, 5, 4, 1, 4, 3, 1, 4, 4, 3, 1, 2, 1, 4, 4, 2, 3, 5, 3, 3, 3, 5, 3, 2, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 3, 1, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 1, 1, 4, 4, 1, 5, 3, 4, 4, 1, 4, 1, 5, 3, 3, 4, 3, 1, 3, 4, 4, 1, 3, 2, 3, 4, 4, 3, 3, 3, 3, 1, 4, 4, 3, 5, 1, 2, 5, 5, 4, 3, 3, 4, 1, 1, 4, 4, 4, 4, 2, 4, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 1, 4, 4, 5, 4, 4, 4, 3, 3, 2, 4, 5, 3, 5, 4, 1, 3, 4, 4, 2, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 4, 2, 1, 3, 4, 4, 4, 3, 1, 1, 3, 1, 3, 3, 4, 4, 5, 3, 3, 3, 5, 3, 4, 4, 3, 1, 4, 4, 3, 4, 3, 1, 5, 4, 4, 2, 5, 5, 4, 5, 5, 3, 1, 3, 2, 5, 4, 4, 3, 4, 4, 1, 3, 4, 5, 4, 4, 3, 3, 1, 5, 5, 1, 1, 4, 1, 4, 1, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 1, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 3, 1, 5, 2, 3, 3, 4, 4, 4, 1, 4, 1, 5, 3, 3, 5, 4, 4, 3, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 2, 4, 4, 4, 2, 4, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 2, 2, 4, 4, 2, 3, 2, 4, 4, 3, 1, 4, 4, 3, 5, 3, 4, 3], "3907": [4, 5, 5, 3, 2, 5, 3, 4, 4, 4, 3, 5, 2, 3, 4, 1, 4, 5, 3, 4, 3, 3, 3, 5, 1, 5, 2, 5, 4, 4, 2, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5], "1767": [5, 4, 4, 5, 3, 4, 4, 3, 5, 2, 3, 2, 4, 3, 5, 5, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 5, 5, 3, 3, 3, 4, 1, 2, 3, 2, 2, 4, 2, 3, 4, 2, 3, 4, 5, 4, 3, 1, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 5, 4, 4, 2, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 2, 4, 3, 5, 4, 3, 4, 3, 4, 3, 3, 4, 2, 5, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 2, 2, 2, 5, 4, 5, 4, 3, 4, 3, 1, 3, 3, 1, 4, 4, 2, 4, 4, 4, 1, 4, 2, 2, 4, 3, 3, 3, 1, 4, 4, 4, 4, 3, 4, 1, 5, 4, 3, 4, 3, 2, 4, 2, 4, 4, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 2, 5, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 2, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 2, 4, 5, 3, 5, 4, 4, 4, 4, 5, 1, 3, 5, 5, 5, 1], "2784": [4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 1, 3, 5, 5, 3, 3, 2, 5, 5, 4, 4, 5, 5, 5, 3, 5, 3, 4, 2, 4, 4, 2, 5, 4, 4, 5, 3, 5, 5, 3, 3, 5, 4, 3, 5, 4, 3, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 3, 2, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 4, 3, 4, 4, 2, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 2, 4, 5, 4, 3, 5], "5036": [2, 3, 4, 4, 3, 1, 2, 3, 2, 2, 2, 4, 4, 3, 4, 3, 3, 2, 4, 3], "3787": [4, 4, 2, 5, 3, 5, 5, 3, 4, 5, 3, 3, 5, 4, 5, 4, 5], "2984": [2, 4, 3, 3, 5, 5, 2, 3, 4, 3, 4, 5, 3, 4, 3, 4, 2, 4, 5, 4, 5], "2496": [3, 4, 2, 3, 2, 1, 4, 3, 3, 4, 3, 3, 3, 5, 3, 5, 3, 4, 3, 1, 3, 4, 3, 2, 2, 5, 2, 4, 3, 3, 2, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 2, 5, 5, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 3, 3, 1, 4, 3, 3, 3, 5, 5, 4, 5, 5, 4, 2, 2, 2, 4, 2, 3, 3, 2, 4, 4, 1, 3, 3, 1, 2, 2, 2, 4, 3, 4, 2, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 5, 2, 3, 3, 1, 3, 3, 1, 2, 2, 3, 2, 1, 3, 1, 2, 2, 5, 3, 2, 3, 2, 3, 3, 2, 4, 3, 3, 5, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 3, 5, 4, 3, 1, 2, 3, 4, 4, 5, 5, 5, 2, 4, 2, 3, 3, 3, 2, 4, 2, 5, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 1, 3, 4, 3, 3, 4, 2, 3, 2, 3, 2, 1, 3, 4, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 1, 2, 2, 2, 2, 3, 3, 3, 5, 3, 5, 3, 3, 3, 2, 3, 2, 3, 4, 3, 2, 4, 2, 2, 3, 2, 3, 2, 3, 1, 4, 3, 4, 4, 2, 3, 3, 4, 2, 5, 2, 4, 1, 3, 3, 3, 4, 4, 3, 2, 3, 5, 3, 3, 3, 1, 4, 4, 4, 2, 3, 3, 3, 2, 3, 4, 2, 2, 3, 1, 3, 1, 4, 5, 1, 1, 5, 3, 4, 3, 3, 3, 2, 1, 4, 4, 3, 4, 4, 2, 3, 4, 2, 1, 4, 2, 2, 2, 3, 2, 4, 2, 4, 2, 3, 4, 2, 2, 3, 2, 2, 3, 1, 1, 4, 1, 2, 3, 3, 1, 5, 3, 4, 3, 2, 3, 3, 3, 3, 4, 5, 3, 4, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 4, 5, 2, 3, 4, 2, 3, 5, 3, 2, 3, 4, 4, 3, 3, 3, 3, 1, 4, 3, 2, 3, 3, 4, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 5, 4, 1, 5, 4, 3, 4, 2, 5, 4, 4, 3, 3, 4, 2, 4, 3, 2, 4, 2, 2, 3, 2, 3, 3, 3, 2, 3, 3, 4, 5, 2, 3, 3, 5, 2, 4, 4, 4, 3, 5, 4, 5, 4, 3, 1, 1, 3, 4, 4, 1, 4, 1, 2, 5, 2, 3, 2, 2, 4, 3, 3, 4, 5, 4, 3, 4, 5, 3, 3, 4, 4, 3, 3, 5, 1, 3, 1, 1, 1, 4, 4, 2, 2, 1, 3, 3, 4, 2, 3, 2, 1, 1, 3, 1, 3, 3, 3, 2, 4], "4458": [3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 2, 4, 4, 2, 4, 2, 3, 3, 2, 5, 3, 5, 3, 5, 3, 3, 4, 4, 2, 4, 3, 3, 4, 3, 5, 3, 4, 3, 2, 2, 2, 5, 5, 5, 2, 3, 4, 5, 4, 1, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 2, 4, 4, 3, 4, 2, 5, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 2, 3, 3, 1, 3, 2, 3, 3, 4, 4, 2, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 2, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 1, 2, 4, 5, 5, 2, 3, 3, 4, 3, 4, 2, 4, 3, 2, 5, 2, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 2, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 2, 3, 3, 1, 4, 3, 2, 3, 4, 3, 2, 4, 4, 5, 4, 5, 2, 4, 2, 4, 3, 4, 5, 2, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 2, 3, 3, 5, 3, 3, 2, 2, 3, 3, 3, 4, 2, 4, 3, 4, 2, 3, 3, 4, 2, 4, 4, 4, 2, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 2, 4, 3, 2, 4, 3, 4, 2, 4], "6012": [1, 3, 4, 2, 4, 3], "3951": [4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 3, 5, 4, 3, 4, 4, 4, 4, 1, 3, 4, 5, 4, 4, 4, 5, 1, 5, 4, 3, 3, 1, 3, 1, 3, 4, 4, 2, 4, 2, 2, 2, 1, 4, 4, 2, 4, 1, 2, 3, 3, 3, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 2, 4, 2, 3, 4, 3, 4, 4, 2, 4, 4, 3, 5, 4, 4, 2, 1, 2, 3, 4, 4, 4, 3, 3, 2, 3, 5, 3, 4, 5, 4, 3, 2, 3, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 3, 5, 4, 2, 5, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 3, 2, 2, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 3, 3], "4517": [3, 2, 2, 1, 2, 4, 3, 2, 4, 2, 2, 4, 5, 3, 3, 4, 2, 3, 4, 2, 3, 4, 2, 4, 4, 3, 3, 4, 4, 5, 3, 2, 3, 1, 3, 4, 3, 3, 2, 3, 3, 2, 2, 3, 3, 1, 4, 4, 2, 4, 1, 3, 4, 4, 2, 3, 3, 5, 1, 3, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 3, 4, 5, 3, 3, 3, 1, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 4, 2, 3, 5, 4, 2, 3, 2, 1, 3, 3, 3, 5, 1, 4, 3, 3, 2, 5, 2, 3, 3, 2, 4, 3, 3, 1, 4, 2, 4, 3, 4, 5, 3, 5, 3, 4, 3, 5, 2, 3, 2, 3, 4, 3, 1, 4, 1, 4, 2, 4, 2, 3, 2, 4, 1, 3, 5, 3, 1, 3, 4, 2, 4, 3, 2, 4, 4, 2, 1, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 1, 3, 3, 4, 2, 4, 3, 4, 3, 4, 5, 3, 2, 4, 1, 3, 5, 2, 4, 2, 1, 3, 3, 3, 4, 5, 3, 3, 4, 3, 4, 4, 1, 3, 3, 3, 1, 3, 4, 3, 2, 4, 3, 3, 1, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 1, 1, 3, 1, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 4, 2, 1, 3, 1, 3, 3, 2, 4, 3, 2, 3, 3, 4, 4, 4, 2, 2, 2, 4, 2, 1, 4, 4, 4, 2, 2, 4, 3, 3, 2, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 1, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 2, 4, 3, 4, 4, 1, 3, 4, 3, 2, 4], "2456": [4, 4, 2, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 3, 3, 5, 3, 2, 3, 4, 1, 4, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 2, 1, 4, 3, 4, 4, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 4, 3, 4, 4, 5, 2, 4, 2, 3, 2, 3, 1, 3, 3, 4, 2, 3, 4, 3, 2, 2, 2, 3, 5, 4, 3, 3, 2, 3, 4, 4, 4, 4, 5, 4, 3, 2, 2, 3, 1, 2, 3, 1, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 5, 5, 4, 5, 3, 3, 2, 4, 3, 4, 3, 2, 3, 3, 3, 4, 5, 3, 1, 4, 3, 3, 1, 3, 2, 2, 2, 2, 3, 4, 3, 2, 4, 3, 1, 3, 3, 2, 3, 3, 2, 2, 2, 3, 2, 1, 3, 3, 1, 4, 2, 3, 3, 3, 2, 4, 3, 3, 5, 3, 4, 2, 2, 3, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 4, 2, 2, 2, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 2, 5, 3, 3, 3, 5, 4, 3, 2, 3, 3, 4, 2, 4, 4, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 2, 3, 2, 3, 3, 5, 3, 5, 3, 3, 3, 4, 4, 3, 5, 2, 3, 3, 4, 2, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 1, 4, 4, 3, 4, 2, 3, 5, 4, 3, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 3, 2, 2], "3207": [4, 5, 5, 5, 3, 3, 5, 5, 2, 5, 5, 3, 3, 5, 3, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 1, 5, 5, 3, 5, 3, 5, 3, 5, 5, 2, 4, 3, 5, 3, 2, 5, 5, 5, 4, 5, 4, 2, 5, 2, 4, 5, 4, 4, 5, 4, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 2, 2], "5615": [3, 3, 4, 5, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 5, 5, 4, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 2, 5, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 2, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 2, 2, 4, 4, 4, 2, 3, 5, 5, 3, 3, 3, 2, 3, 3, 4, 4, 5, 3, 4, 2, 4, 4, 3, 2, 3, 3, 5, 4, 4, 5, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 5, 3, 2, 2, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 4, 5, 3, 5, 2, 4, 5, 5, 3, 3, 3, 4, 2, 3, 1, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 2, 3, 3, 4, 5, 4, 4, 4, 2, 3, 2, 4, 3, 4, 4, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 2, 2, 4, 2, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 3, 5, 3, 4, 2, 5, 3, 5, 5, 3, 3, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 4], "4014": [5, 4, 5, 3, 3, 4, 1, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 1, 4, 4, 4, 3, 3, 5, 5, 3, 4, 1, 2, 4, 5, 4, 1, 4, 4, 4, 5, 4, 3, 2, 5, 5, 4, 2, 5, 4, 3, 5, 4, 5, 3, 2, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 2, 4, 3, 5, 4, 5, 1, 4, 5, 4, 4, 5, 4, 3, 3, 2, 5, 3, 5, 3, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 2, 3, 3, 4, 5, 5, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 2, 4, 2, 4, 3, 4, 4, 2, 4, 3, 1, 4, 4, 4, 2, 4, 2, 2, 4, 4, 5, 4, 5, 4, 2, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 5, 1, 4, 5, 5, 4, 3, 5, 4, 3, 4], "1318": [1, 3, 3, 3, 4, 4, 3], "5372": [4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5], "2591": [4, 4, 4, 4, 5, 2, 4, 4, 4, 5, 3, 1, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3], "695": [4, 4, 3, 5, 5, 1, 4, 5, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 1, 2, 3, 4, 3, 5, 1, 3, 5, 5, 4, 4, 2, 3, 4, 4, 3, 5, 2, 4, 4, 3, 1, 4, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 3, 3, 1, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 1, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 3, 3, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 2, 4, 4, 2, 5, 4, 4, 4, 4, 5, 1, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4], "1196": [3, 4, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 5, 4, 2, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 5, 4, 4, 3, 5, 5, 3, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4], "5528": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4], "2112": [4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 2, 4, 4, 2, 3, 1, 3, 5, 5, 2, 4, 5, 3, 2, 3, 5, 4, 3, 2, 4, 3, 3, 3, 3, 5, 3, 4, 3], "2166": [2, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 1, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 2, 1, 3, 2, 3, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 2, 4, 3, 2, 4, 2, 5, 2, 5, 4, 4, 3, 4, 4, 5, 3, 3, 5, 3, 3, 4, 5, 4, 1, 4, 5, 3, 4, 5, 4, 3, 2, 3, 2, 5, 5, 2, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 2, 3, 1, 1, 2, 5], "1587": [2, 1, 2, 5, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 3, 3, 4, 3, 5, 5, 3, 3, 2, 3, 5, 3, 3, 4, 1, 3, 2, 4, 4, 4, 4, 5, 5, 2, 4, 3, 4, 3, 4, 4, 2, 3, 3, 5, 4, 3, 4, 5, 4, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 1, 2, 5, 5, 2, 1, 2, 2, 2, 3, 3, 2, 4, 3, 4, 3, 1, 4, 3, 3, 3, 5, 5, 4, 3, 3, 3, 4, 3, 3, 2, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 2, 2, 3, 3, 2, 4, 4, 2, 4, 2, 4, 5, 4, 2, 3, 3, 1, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 5, 3, 4, 5, 3, 4, 4, 3, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 3, 2, 1, 1, 3, 2, 4, 4, 2, 2, 3, 2, 1, 4, 4, 3, 4, 4, 1, 1, 2, 5, 3, 3, 3, 5, 2, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 4, 5, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 3, 3, 5, 4, 4, 5, 2, 3, 4, 4, 3, 4, 3, 3, 3, 5, 3, 1, 5, 3, 4, 4, 4, 4, 5, 2, 3, 1, 4, 3, 5, 3, 4, 3, 5, 4, 4, 4, 3, 2, 4, 3, 4, 5, 4, 4, 4, 2, 4, 3, 3, 3, 4, 1, 2, 2, 4, 5, 5, 1, 3, 4, 3, 4, 4, 5, 4, 3, 4, 1, 5, 2, 1, 2, 5, 4, 1, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 2, 1, 4, 4, 2, 4, 1, 1, 2, 4, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 1, 5, 4, 5, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 2, 3, 3, 2, 3, 5, 1, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 1, 4, 3, 4, 2, 1, 4, 5, 3, 3, 4, 4, 3, 1, 2, 4, 4, 2, 3, 3, 4, 4, 2, 2, 3, 4, 3, 3, 3, 1, 3, 5, 4, 4, 4, 5, 3, 5, 4, 2, 1, 5, 1, 5, 2, 1, 4, 4, 5, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 5, 5, 4, 5, 2, 5, 2, 3, 3, 1, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4], "3664": [2, 2, 2, 4, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 3, 2, 4, 5, 5, 2, 2, 3, 4, 5, 4, 4, 1, 3, 3, 3, 3, 2, 2, 2, 4, 2, 1, 2, 3, 5, 1, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 2, 5, 4, 4, 3, 5, 4, 3, 4, 2, 3, 3, 2, 4, 3, 2, 3, 1, 4, 3, 3, 3, 3, 3, 5, 3, 5, 3, 2, 2, 3, 5, 3, 2, 4, 2, 2, 3, 2, 2, 2, 4, 4, 3, 3, 2, 4, 4, 1, 4, 2, 3, 1, 5, 4, 3, 3], "671": [5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5], "1352": [2, 4, 5, 4, 5, 4, 4, 4, 2, 3, 3, 4, 5, 2, 4, 5, 4, 3, 3, 5, 3, 4, 2, 5, 2, 4, 4, 3, 2, 2, 4, 3, 4, 4, 5, 5, 5, 3, 3, 5, 5, 4, 2, 4, 3, 2, 4, 4, 4, 5, 2, 3, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 5, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3], "2029": [3, 5, 3, 3, 4, 5, 3, 4, 5, 5, 2, 5, 3, 2, 4, 5, 2, 5, 5, 2, 2, 5, 1, 5, 4, 4, 1, 1, 4, 4, 3, 5, 4, 2, 3, 1, 4, 1, 3, 4, 2, 1, 4, 4, 3, 4, 1, 4, 5, 3, 1, 1, 3, 5, 3, 4, 3, 3, 3, 5, 5, 1, 5, 1, 5, 1, 3, 2, 5, 4, 5, 1, 4, 4, 5, 1, 2, 4, 3, 3, 4, 5, 5, 3, 1, 3, 5, 1, 4, 5, 5, 2, 3, 5, 4, 1, 5, 2, 4, 1, 1, 2, 1, 2, 1, 1, 3, 4, 4, 4, 1, 3, 2, 3, 5, 3, 4, 4, 4, 4, 5, 3, 1, 2, 1, 2, 2, 1, 2, 4, 4, 2, 4, 3, 1, 3, 4, 3, 3, 3, 1, 3, 5, 4, 5, 3, 1, 3, 3, 5, 1, 4, 1, 2, 2, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 1, 1, 3, 4, 4, 1], "3043": [3, 2, 1], "6013": [3, 5, 4, 5, 5, 5, 5, 5, 2, 4, 4, 5, 5, 5, 1, 1, 5, 1, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 1, 5, 1, 5, 5, 4, 5, 5, 4, 5, 4, 5, 2, 4, 3, 5, 2, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], "4735": [3, 5, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 5, 5, 4, 3, 5, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 3, 5, 4, 3, 3, 5, 5, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 5, 4, 5, 4], "5433": [2, 2, 4, 4, 3, 4, 5, 3, 4, 1, 4, 5, 3, 4, 3, 2, 5, 2, 2, 2, 2, 5, 3, 1, 2, 2, 2, 5, 3, 2, 2, 1, 3, 3, 3, 4, 4, 5, 2, 3, 2, 3, 3, 3, 3, 2, 4, 3, 1, 5, 5, 4, 4, 2, 2, 1, 2, 4, 1, 1, 2, 1, 2, 4, 2, 1, 4, 2, 4, 4, 3, 3, 4, 2, 5, 3, 4, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 1, 4, 3, 2, 4, 4, 3, 3, 4, 1, 2, 3, 3, 3, 5, 3, 2, 3, 1, 4, 4, 3, 3, 3, 2, 2, 4, 3, 4, 2, 4, 3, 2, 2, 4, 2, 5, 5, 2, 1, 4, 3, 4, 3, 4, 5, 3, 3, 4, 2, 5, 2, 3, 3, 2, 3, 5, 2, 2, 3, 4, 2, 2, 1, 4, 2, 4, 4, 4, 3, 3, 3, 2, 5, 2, 3, 3, 3, 5, 3, 2, 3, 1, 1, 4, 3, 3, 2, 1, 4, 4, 4, 3, 3, 4, 2, 3, 2, 2, 2, 2, 2, 3, 2, 4, 1, 2, 2, 5, 4, 2, 3, 3, 5, 1, 3, 4, 2, 3, 5, 1, 2, 4, 4, 3, 3, 4, 5, 2, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 3, 4, 1, 2, 5, 3, 4, 3, 4, 2, 3, 5, 4, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 5, 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 4, 3, 3, 4, 1, 3, 4, 4, 2, 1, 5, 3, 1, 3, 2, 1, 1, 2, 5, 1, 2, 2, 3, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 2, 4, 4, 5, 3, 4, 4, 2, 2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 3, 5, 4, 3, 4, 2, 1, 5, 5, 4, 2, 3, 3, 3, 3, 3, 2, 5, 4, 4, 4, 3, 1, 3, 3, 3, 3, 3, 3, 4, 5, 1, 3, 2, 2, 3, 3, 2, 2, 3, 1, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 3, 3, 2, 3, 4, 2, 3, 1, 5, 4, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 2, 4, 5, 5, 4, 3, 3, 1, 1, 3, 2, 4, 3, 4, 5, 5, 2, 4, 2, 2, 1, 3, 4, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 4, 2, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 2, 3, 3, 4, 2, 5, 4, 2, 1, 3, 1, 1, 3, 3, 5, 2, 1, 3, 4, 1, 2, 3, 4, 3, 1, 4, 3, 3, 2, 5, 3, 5, 3, 4, 5, 2, 3, 5, 4, 4, 1, 2, 3, 3, 5, 3, 1, 2, 4, 5, 2, 4, 3, 5, 2, 2, 3, 4, 2, 5, 4, 3, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 4, 4, 1, 2, 4, 1, 3, 4, 2, 1, 3, 3, 5, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 3, 5, 3, 3, 1, 4, 2, 3, 2, 1, 3, 2, 4, 2, 4, 2, 4, 3, 5, 3, 4, 4, 2, 1, 2, 3, 5, 2, 4, 2, 2, 3, 2, 4, 5, 3, 2, 3, 2, 3, 1, 3, 1, 3, 4, 4, 3, 3, 5, 3, 4, 5, 5, 3, 2, 3, 4, 2, 4, 3, 4, 2, 1, 2, 4, 4, 3, 4, 3, 3, 4, 5, 2, 4, 4, 5, 5, 2], "5285": [4, 4, 4, 3, 5, 4, 5, 3, 5, 5, 4, 2, 5], "857": [3, 3, 5, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 2, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 3, 3, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5], "3029": [5, 5, 3, 5, 4, 3, 5, 2, 4, 4, 3, 5, 5, 5, 5, 1, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 3, 3, 5, 5, 1, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 5, 5, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 2, 5, 5, 3, 5, 5, 3, 2, 5, 5, 4, 2, 3, 4, 5, 3, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 2, 3, 3, 5, 4, 4, 4, 5, 4, 3, 2, 4, 4, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 3, 5, 4, 3, 3, 4, 3, 5, 3, 3, 4, 1, 5, 3, 2, 3, 3, 4, 2, 2, 5, 2, 5, 2, 4, 3, 2, 5, 4, 2, 5, 4, 3, 5, 5, 3, 3, 3, 3, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 2, 4, 5, 4, 3, 5, 2, 3, 3, 2, 3, 4, 4, 5, 3, 3, 5, 4, 4, 3, 2, 3, 1, 4, 2, 3, 5, 5, 4, 5, 3, 2, 5, 4, 4, 3, 4, 5, 3, 5, 3, 5, 4, 4, 3, 4, 5, 5, 5, 3, 3, 5, 3, 5, 3, 4, 4, 5, 4, 4, 3, 5, 2, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 2, 3, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 5, 4, 2, 5, 3, 4, 3, 3, 3, 3, 5, 3, 3, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 3, 5, 2, 5, 3, 4, 3, 5, 5, 4, 4, 5, 4, 4, 2, 4, 4, 3, 3, 3, 5, 4, 2, 3, 5, 4, 3, 3, 2, 4, 5, 4, 1, 4, 5, 4, 4, 4, 5, 5, 5, 4, 2, 4, 4, 4, 2, 4, 4, 5, 2, 5, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 5, 2, 3, 5, 5, 5, 4, 4, 4, 3, 2, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 1, 5, 4, 4, 5, 3, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 3, 2, 5, 4, 5, 3, 5, 4, 5, 3, 4, 2, 3, 3, 4, 5, 5, 4, 2, 5, 4, 4, 1, 4, 3, 4, 3, 4, 3, 3, 4, 2, 2, 5, 5, 4, 5, 2, 5, 3, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 5, 5, 4, 5, 2, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 2, 5, 4, 5, 5, 5, 5, 5, 4, 2, 5, 3, 5, 2, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 2, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 5, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5], "5964": [4, 5, 3, 2, 3, 4, 5, 1, 3, 4, 4, 5, 4, 2, 4, 5, 4, 4, 1, 2, 5, 4, 3, 2, 5, 2, 4, 5, 4, 5, 2, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 2, 3, 4, 4, 3, 2, 2, 3, 3, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 5, 3, 1, 5, 5, 5, 2, 3, 2, 5, 2, 4, 2, 5, 2, 5, 5, 5, 3, 5, 4, 4, 4, 1, 5, 4, 3, 4, 2, 4, 5, 5, 3, 5, 4, 4, 5, 3, 5, 4, 5, 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 3, 5, 5, 3, 4, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 2, 5, 4, 5, 3, 1, 5, 4, 5, 3, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 5, 3, 5, 4, 3, 4, 2, 5, 4, 4, 4, 4, 3, 2, 3, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 4, 2, 4, 1, 2, 4, 2, 1, 4, 4, 5, 2, 5, 3, 5, 2, 3, 5, 5, 3, 4, 2, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 3, 2, 5, 4, 4, 3, 3, 3, 2, 2, 3, 1, 4, 3, 4, 3, 4, 2, 3, 3, 3, 1, 3, 2, 5, 1, 5, 4, 4, 4, 3, 3, 2, 3, 3, 3, 5, 5, 3, 2, 4, 1, 5, 5, 4, 4, 4, 4, 5, 2, 3, 3, 2, 4, 2, 2, 1, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 3, 2, 5, 4, 2, 5, 3, 4, 3, 3, 5, 3, 2, 3, 3, 2, 4, 5, 5, 5, 4, 2, 5, 3, 3, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 4, 3, 4, 3, 5, 5, 2, 3, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5], "1961": [4, 1, 3, 2, 4, 4, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 2, 2, 4, 4, 5, 3, 3, 4, 5, 3, 2, 4, 3, 4, 4, 5, 2, 4, 3, 4, 4, 5, 3, 2, 3, 2, 3, 2, 4, 5, 5, 5, 3, 2, 2, 5, 5, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 2, 4, 3, 5, 4, 4], "890": [5, 5, 5, 5, 5, 5, 2, 4, 4, 4, 2, 4, 4, 1, 5, 5, 5, 3, 4, 5, 4, 3, 4, 5, 4, 4, 2, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 2, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 3, 3, 4, 4, 5, 5, 5, 3, 5, 4, 5, 2, 4, 3, 5, 2, 3, 5, 4, 1, 5, 4, 5, 3, 4, 5, 1, 1, 4, 4, 5, 2, 5, 3, 4, 2, 3, 5, 5, 5, 5, 3, 2, 5, 4, 4, 3, 4, 5, 4, 1, 4, 3, 2, 5, 4, 1, 3, 5, 4, 4, 4, 1, 4, 2, 5, 4, 5, 4, 2, 4, 2, 3, 3, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4], "3233": [4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 3, 5, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 3, 4, 3, 3, 4, 2, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 2, 5, 5, 3, 3, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 4, 5, 4], "4788": [2, 3, 5, 2, 2, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 1, 3, 4, 3, 3, 4, 4, 2, 3, 3, 3, 4, 2, 2, 4, 4, 3, 3, 3, 2, 4, 3, 4, 3, 3, 2, 2, 4, 3, 4, 3, 2, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 5, 4, 2, 5, 3, 5, 4, 5, 3, 2, 2, 2, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 2, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 2, 3, 2, 2, 5, 4, 3, 4, 3, 3, 2, 3, 3, 4, 1, 3, 3, 3, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 3, 2, 4, 2, 3, 3, 4, 2, 4, 3, 3, 2, 2, 4, 5, 3, 5, 3, 4, 2, 5, 3, 2, 2, 3, 4, 4, 2, 2, 3, 3, 3, 4], "3053": [4, 4, 2, 5, 4, 2, 5, 4, 3, 1, 3, 4, 2, 4, 3, 3, 4, 2, 3, 3, 4, 4, 1, 2, 2, 2, 4, 4, 5, 4, 3, 2, 2, 4, 2, 4, 3, 3, 3, 3, 2, 3, 2, 4, 5, 4, 2, 4, 3, 2, 2, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 2, 3, 4, 3, 2, 3, 4, 3, 5, 5, 2, 5, 3, 2, 3, 3, 4, 3, 5, 5, 3, 1, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 5, 4, 2, 4, 2, 3, 5, 3, 2, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 5, 3, 4, 5, 2, 2, 4, 4, 2, 2, 2, 5, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4], "693": [3, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 2, 4, 5, 5, 3, 5, 5, 5, 5, 2, 5, 3, 4, 5, 5, 4, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 2, 5, 4, 4, 5, 3, 5], "455": [4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 2, 4, 4, 4, 5, 4], "4759": [4, 2, 2, 5, 1, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 5, 2, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 2, 4, 2, 1, 5, 2, 3, 5, 4, 5, 5], "899": [3, 4, 4, 4, 1, 3, 4, 2, 5, 4, 2, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 2, 2, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 3, 4, 3, 4, 4, 2, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 1, 3, 3, 3, 2, 4, 4, 4, 5, 4, 2, 2, 1, 2, 4, 4, 2, 3, 2, 4, 3, 4, 5, 2, 3, 4, 3, 4, 2, 3, 4, 4, 2, 3, 4, 2, 5, 5, 3, 3, 4, 3, 3, 2, 3, 5, 2, 5, 3, 4, 4, 4, 3, 1, 3, 4, 4, 5, 4, 4, 4, 5, 3, 2, 3, 3, 5, 5, 5, 5, 2, 4, 5, 2, 2, 5, 1, 2, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 2, 3, 3, 3, 4, 3, 5, 4, 3, 4, 2, 2, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 3, 2, 3, 4, 3, 3, 4, 5, 5, 4, 5, 2, 5, 4, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 4, 2, 4, 4, 4, 2, 2, 4, 2, 4, 2, 3, 5, 3, 4, 3, 2, 4, 3, 4, 5, 3, 3, 5, 1, 3, 4], "5789": [3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 4, 2, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4], "953": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 2, 5, 5, 5, 2, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5], "416": [4, 5, 5, 3, 3, 4, 3, 5, 4, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4], "3248": [5, 2, 5, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 3, 5, 5, 4, 3, 4, 4, 4, 1, 4, 5, 5, 5, 3, 5, 4, 4, 3, 2, 3, 1, 4, 2, 4, 2, 5, 4, 3, 4, 2, 4, 3, 5, 3, 3, 3, 2, 1, 4, 2, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 1, 5, 5, 3, 1, 3, 3, 4, 5], "1688": [2, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 1, 3, 5, 5, 3, 5, 5, 5, 1, 4, 5, 3, 4, 3, 2, 5, 5, 4, 1, 4, 1, 4, 3, 5, 1, 3, 3, 1, 3, 4, 3, 3, 5, 4, 3, 5, 5, 5, 3, 2, 4, 2, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 1, 4, 1, 4], "4893": [4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 3, 4, 5, 4, 2, 5, 2, 5, 5, 3, 4, 3, 1, 5, 1, 5, 4, 5, 1, 4, 5, 5, 3, 2, 5, 4, 4, 4, 4, 5, 4, 5, 4, 1, 5, 3, 4, 5, 4, 2, 4, 2, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5], "289": [5, 4, 4, 5, 3, 5, 4, 2, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 1, 4, 5, 4, 3, 3, 3, 4, 4, 3, 4, 5, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 5, 4, 2, 4, 3, 5, 4, 5, 3, 4, 5, 4, 5, 3, 4, 3, 4, 5, 4, 4, 5, 4], "3181": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 2, 4, 2, 3, 4, 5], "2221": [5, 1, 2, 5, 3, 2, 3, 4, 5, 5, 3, 4, 4, 5, 3, 3, 2, 2, 4, 2, 3, 2, 4, 5, 5, 4, 5, 1, 4, 2, 4, 2, 5, 5, 5, 1, 1, 1, 3, 3, 2, 4, 5, 4, 1, 2, 3, 5, 4, 5, 5, 5, 3, 1, 4, 1, 2, 3, 5, 5, 5, 4, 5, 4, 4, 5, 2, 1, 3, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 5, 4, 4, 5, 2, 5, 3, 4, 4, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 3, 2, 1, 5, 4, 5, 4, 4, 4, 4, 3, 5, 2, 5, 3, 1], "5480": [3, 4, 4, 3, 5, 2, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 3, 4, 5, 4, 2, 3, 2, 5, 3, 3, 3, 3, 2, 4, 1, 3, 4, 2, 3, 4, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 4, 5, 4, 4, 5, 4, 4, 4, 5, 2, 3, 3, 3, 2, 4, 2, 4, 4, 2, 3, 4, 4, 2, 3, 5, 3, 3, 3, 4, 3, 1, 3, 4, 4, 3, 1, 4, 5, 2, 4, 1, 5, 2, 4, 4, 4, 5, 3, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 4, 3, 3, 3, 3, 5, 2, 4, 3, 2], "3151": [4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 2, 4, 4, 5, 3, 5, 3, 3, 5, 1, 1, 4, 5, 2, 5, 4, 5, 5, 3, 3, 5, 5, 3, 4, 3, 5, 5, 4, 1, 3, 4, 2, 3, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 1, 3, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 3, 5, 5, 5, 5, 2, 4, 5, 4, 5, 5, 1, 3, 5, 3, 5, 5, 5, 5, 1, 3, 5, 3, 5, 4, 2, 5, 5, 2, 4, 2, 5, 3, 5, 5, 2, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 1, 5, 4, 3, 1, 5, 3, 5, 4, 2, 5, 3], "1764": [4, 4, 3, 4, 3, 3, 5, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 3, 5, 4, 5, 2, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 2, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 2, 5, 5, 3, 5, 3, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 2, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 5, 3, 5, 5, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 2, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 1, 5, 4, 5, 4, 3, 4, 3], "1633": [3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 2, 3, 3, 1, 2, 2, 1, 3], "1531": [4, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 2, 4, 3, 5, 5, 3, 3, 3, 4, 4], "2577": [4, 3, 5, 5, 3, 3, 3, 4, 5, 3, 4, 4, 5], "1591": [3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 2, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 3, 5, 3, 4, 5, 3, 5, 4, 3, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 3, 1, 5, 4, 5, 3, 3, 3, 5, 5, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 2, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 3, 3, 2, 2, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 3, 5, 3, 4, 3, 3, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 3, 5, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4], "3820": [5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4], "5630": [4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 5, 3, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 2, 3, 4, 1, 4, 3, 5, 3, 4, 5, 3, 4, 4, 3, 5, 5, 5, 3, 5, 4, 5, 5, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5], "1954": [4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 1, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 3, 5, 2, 1, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 3], "3817": [4, 5, 3, 3, 3, 3, 4, 3, 2, 2, 4, 4, 3, 4, 4, 5, 3, 4, 2, 5, 3, 5, 4, 2, 4, 3, 4, 4, 3, 5, 3, 4, 3, 3, 4, 2, 2, 4, 3, 5], "4385": [2, 3, 5, 5, 2], "5618": [4, 5, 5, 4, 5, 5, 3, 3, 4, 3, 2, 5, 5, 5, 4, 3, 5, 3, 4, 2, 5, 3, 5, 4, 5, 4, 2, 5, 4, 4, 3, 4, 4, 3, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 1, 4, 5, 4, 4, 5, 1, 3, 5, 3, 4, 2, 4, 4, 4, 3, 4, 3, 5, 4], "1289": [5, 5, 5, 4, 5, 5, 4, 5, 5, 2, 5, 5, 5, 2, 3, 5, 3, 5, 5, 5, 5, 3, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3], "4815": [4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 5, 4, 5, 5, 5, 5, 5, 4, 2, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 1, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 2, 4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 5, 1, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5], "61": [3, 3, 3, 4, 1], "4590": [4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4], "3781": [3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5], "3113": [3, 4, 3, 5, 5, 3, 5, 1, 3, 5, 5, 5, 5, 4, 5, 3, 3, 5, 2, 5, 4, 3, 3, 1, 5, 4, 4, 3, 5, 3, 5, 2, 3, 3, 4, 4, 4], "1500": [1, 3, 3, 4, 5, 4, 3, 5, 3, 5, 3, 5, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 5, 4, 3, 5, 1, 4, 4, 5, 3, 4, 2, 5, 4, 5, 2, 5, 1, 1, 3, 3, 3, 2, 5, 3, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 1, 5, 4, 4, 4, 4, 4, 5, 5, 5], "345": [5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 2, 4, 3, 5, 5, 5, 3, 5, 5, 5], "4716": [3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 5, 5, 3, 3, 3, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 3, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3], "3560": [5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 2, 4, 4, 4, 2, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5], "2840": [2, 3, 5, 4, 4, 5, 4, 2, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 3, 4, 3, 3, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 4, 4, 4, 1, 3, 4, 3, 3, 1, 2, 3, 4, 3, 4, 2, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 3, 2, 2, 2, 4, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 3, 3, 1, 5, 2, 3, 4, 1, 2, 3, 2, 3, 3, 2, 2, 1, 1, 3, 4, 5, 3, 1, 2, 4, 4, 3, 3, 5, 2, 3, 2, 2, 3, 4, 2, 4, 2, 5, 2, 3, 2, 2, 3, 1, 2, 3, 2, 4, 2, 2, 2, 4, 3, 4, 1, 2, 3, 4, 2, 3, 2, 2, 1, 4, 2, 3, 2, 2, 5, 3, 2, 1, 5, 2, 4, 4, 4, 5, 2, 4, 3, 1, 2, 3, 3, 3, 4, 5, 3, 4, 2, 3, 3, 2, 1, 3, 3, 3, 3, 1, 3, 4, 2, 2, 4, 2, 1, 3, 3, 4, 3, 3, 4, 4, 2, 3, 1, 3, 3, 4, 1, 1, 2, 5, 3, 1, 1, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 4, 3, 4, 4, 1, 4, 2, 3, 5, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 3, 4, 4, 2, 4, 2, 2, 2, 5, 3, 4, 4, 5, 2, 4, 2, 2, 4, 4, 1, 1, 3], "1859": [4, 5, 5, 4, 5, 2, 3, 5, 4, 5, 4, 4, 4, 2, 4, 3, 5, 2, 4, 3, 1, 4, 4, 3, 3, 1, 3, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3], "4071": [4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 5, 4, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 2, 4, 3, 3, 4, 5, 4, 5, 4, 5, 2, 4, 5, 4, 3, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5], "3385": [3, 4, 5, 3, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 5, 5, 3, 3, 4, 4, 3, 3, 3, 3, 4], "3944": [4, 3, 4, 2, 3, 3, 3, 5, 4, 3, 4, 5, 2, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4], "2550": [4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 3, 3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 5, 3, 5, 4, 5, 4, 2, 3, 3, 3, 4, 4, 3, 4, 3, 4, 2, 4, 5, 4, 4, 3, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 5, 3, 3, 5, 4, 4, 3, 5, 3, 3, 4, 3, 4, 3, 4], "3206": [4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4], "3539": [4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 3, 3, 5, 3, 2, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 2, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 2, 5, 4, 2, 5, 4, 4, 3, 2, 4, 1, 4, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 3, 2, 4, 4, 4, 5, 4, 2, 4, 5, 4, 4, 5, 5, 3, 5, 5, 3, 5, 5, 4, 5, 5, 4, 2, 3, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 3, 5, 3, 4, 5, 5, 4, 2, 3, 5, 3, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 2, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 2, 3, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 3, 5, 4, 5, 3, 5, 3, 5, 5, 3, 5, 3, 5, 5, 3, 4, 3, 4, 3, 2, 3, 5, 4, 4, 5, 3, 4, 3, 5, 5, 3, 5, 4, 3, 4, 5, 3, 4, 2, 4, 3, 5, 4, 3, 1, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 2, 5, 3, 5, 3, 3, 2, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 3, 3, 5, 5, 3, 5, 5, 4, 3, 3, 4, 4, 3, 5, 5, 4, 5, 4, 4, 2, 4, 3, 3, 3, 5, 4, 2, 2, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 2, 5, 4, 5, 5, 3, 5, 3, 3, 3, 4, 5, 5, 5, 2, 3, 4, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 2, 3, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3, 4, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 2, 4, 5, 4, 1, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 3, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 2, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 4, 3, 2, 3, 2, 4, 3, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 3, 5, 5, 5, 3, 3, 4, 3, 5, 4, 3, 3, 4, 3, 5, 2, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 3, 3, 4, 5, 4, 4, 5, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 2, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 3, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 5, 2, 3, 5, 5, 3, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 2, 5, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 5, 2, 5, 4, 5, 4, 4, 4, 2, 5, 5], "5906": [4, 4, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 1, 5, 3, 4, 3, 1, 5, 4, 5, 3, 5, 5, 2, 4, 4, 5, 5, 3, 5, 3, 5, 3, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 5, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 2, 4, 4, 3, 1, 2, 3, 4, 3, 5, 5, 5, 4, 4, 1, 5, 5, 4, 5, 1, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 5], "3695": [3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 2, 4, 3, 3, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 1, 5, 4, 5, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 2, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 2, 4, 5, 4, 4, 3, 5, 4, 4, 5, 2, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 4, 2, 4, 2, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 3, 5], "2891": [4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3], "2887": [3, 4, 3, 2, 5, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 3, 3, 5, 1, 3, 5, 3, 5, 3, 4, 5, 4, 3, 5, 3, 3, 3, 4, 1, 4, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 2, 3, 4, 2, 4, 2, 3, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 5, 3, 4, 4, 5, 3, 3, 3, 5, 5, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 2, 3, 4, 3, 3, 5, 4, 1, 4, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 4, 1, 5, 4, 5, 3, 1, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 4, 5, 2, 3, 2, 3, 4, 3, 3, 2, 3, 5, 4, 3, 5, 3, 3, 3, 4, 5, 4, 2, 4, 3, 3, 3, 3, 2, 5, 3, 4, 5, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 3, 1, 3, 4, 3, 5, 3, 3, 1, 4, 3, 3, 4, 5, 3, 5, 4, 4, 4, 3, 5, 2, 2, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 5, 5, 5, 3, 4, 2, 3, 4, 3, 5, 5, 5, 3, 4, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 1, 3, 4, 4, 4, 3, 2, 5, 3, 3, 3, 3, 3, 4, 5, 5, 5, 3, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 2, 4, 4, 4, 1, 2, 4, 5, 4, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 2, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 2, 2, 5, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 3, 2, 3, 3, 3, 3, 1, 4, 4, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3, 2, 3, 4, 2, 5, 3, 5, 4, 3, 3, 5, 5, 2, 3, 4, 2, 2, 3, 2, 5, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 4, 5, 3, 3, 5, 3, 3, 4, 3, 1, 3, 5, 3, 4, 3, 4, 5, 1, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 3, 2, 3, 3, 5, 5, 3, 4, 4, 3, 3, 3, 5, 2, 3, 5, 3, 3, 4, 3, 2, 1, 3, 2, 4, 4, 3, 4, 3, 2, 3, 4, 4, 5, 3, 3, 3], "5996": [3, 4, 3, 3, 5, 3, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 2, 5, 4, 5, 5, 4, 4, 4, 3, 5, 2, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 4, 3, 5, 5, 1, 1, 4, 3, 3, 5, 4, 5, 4, 5, 3, 5, 5, 3, 4, 3, 5, 5, 4, 4, 3, 2, 3, 4, 3, 3, 2, 3, 5, 3, 3, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 1, 4, 5, 3, 4, 5, 4, 3, 2, 3, 3, 4, 4, 1, 2, 4, 4, 3, 3, 5, 4, 2, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 5, 3, 2, 3, 2, 5, 5, 2, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 3, 2, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 3, 3, 3, 5, 3, 5, 2, 4, 4, 5, 4, 4, 4, 3, 5, 2, 4, 3, 5, 5, 3, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 1, 3, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 3, 4, 2, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 2, 3, 4, 2, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 1, 4, 4, 3, 3, 2, 5, 1, 5, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 1, 4, 3, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 5, 1, 4, 5, 3, 4, 5, 3, 4, 2, 2, 3, 3, 3, 4, 5, 3, 4, 5, 5, 4, 5, 3, 4, 2, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 2, 4, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 2, 4, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 5, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 5, 5, 5, 3, 3, 5, 4, 5, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3], "2622": [5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 4, 4, 3], "3190": [5, 3, 4, 4, 3, 5, 2, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4], "3394": [4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 2, 5, 4, 5, 3, 4, 4, 3, 5, 3, 5, 2, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 2, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 3, 5, 5, 5, 4, 3, 5, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 2, 4, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 2, 3, 2, 3, 4, 5, 3, 5, 4, 2, 4, 5, 3, 4, 2, 5, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 5, 3, 3, 3, 3, 4, 4, 2, 3, 2, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 2, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 3, 1, 2, 4, 4, 4, 4, 5, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 5, 5, 4, 4, 5, 4, 5, 3, 4, 2, 5, 4, 5, 4, 4, 2, 5, 5, 4, 5, 4, 3, 5, 4, 2, 3, 5, 4, 4, 5, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5], "3227": [3, 3, 2, 2, 5, 5, 2, 4, 4, 2, 4, 3, 4, 1, 5, 4, 5, 4, 4, 3, 3, 5, 3, 5, 4, 5, 3, 3, 4, 4, 4, 5, 3, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 3, 2, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 1, 5, 3, 5, 2, 5, 4, 3, 2, 1, 3, 3, 5, 4, 5, 3, 5, 5, 4, 3, 3, 5, 2, 5, 2, 5, 4, 3, 3, 3, 3, 2, 3, 5, 4, 4, 4, 3, 3, 3, 5, 3, 5, 5, 4, 4, 5, 5, 2, 3, 2, 5, 4, 3, 4, 4, 5, 5, 4, 2, 3, 5, 4, 4, 3, 3, 2, 4, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 3, 3, 4, 5, 3, 3, 3, 2, 3, 2, 5, 5, 4, 5, 4, 3, 4, 4, 3, 3, 3, 2, 3, 3, 5, 2, 3, 4, 3, 3, 4, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 2, 2, 5, 5, 5, 4, 5, 5, 1, 2, 4, 4, 3, 2, 3, 3, 5, 4, 3, 4, 5, 3, 5, 2, 1, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 5, 3, 3, 3, 4, 5, 2, 4, 2, 3, 3, 4, 5, 4, 5, 5, 3, 5, 3, 1, 5, 4, 5, 4, 3, 4, 5, 3, 4, 2, 5, 5, 2, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5], "5662": [2, 4, 4, 3, 3, 4, 2, 5, 2, 4, 2, 3, 4, 4, 4, 5, 5, 3, 5, 2, 5, 5, 2, 2, 5, 3, 5, 5, 5, 1, 3, 3, 2, 4, 5, 5, 3, 2, 4, 5, 5, 4, 5], "3535": [4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5], "2793": [5, 5, 3, 4, 4, 2, 5, 5, 4, 3, 1, 4, 5, 2, 4, 3, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 2, 5, 4, 5, 3, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 4, 2, 3, 4, 1, 4, 5, 5, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 4, 1, 4, 4, 2, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 2, 4, 3, 3, 5, 4, 4, 4, 5, 2, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 5, 5, 5, 2, 2, 3, 1, 5, 4, 3, 4, 3, 5, 4, 4, 5, 5, 2, 5, 4, 5, 4, 4, 3, 2, 3, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 2, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 2, 4, 5, 4, 4, 3, 5, 5, 5, 4, 3, 5, 3, 3, 3, 4, 2, 4, 2, 2, 5, 4, 5, 5, 4, 4, 3, 5, 3, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 3, 4, 3, 4, 2, 4, 4, 3, 5, 5, 4, 5, 3, 5, 4, 4, 3, 3, 5, 4, 2, 2, 3, 4, 5, 4, 5, 4, 3, 2, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 2, 3, 5, 4, 5, 5, 5, 5, 4, 5, 2, 3, 5, 4, 4, 4, 3, 5, 2, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 2, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 2, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 4, 4, 5, 5, 2, 4, 4, 4, 3, 5, 5, 5, 3, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 2, 2, 4, 2, 3, 4, 4, 4, 5, 3, 5, 2, 5, 5, 4, 5, 4, 5, 4, 5, 4, 1, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5], "1390": [5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 2, 3, 5, 4, 4, 4, 5, 5, 2, 2, 4, 4, 4, 5, 2, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 5, 3, 2, 4, 3, 2, 4, 4, 5, 3, 5, 3, 4, 3, 5, 4, 4, 4, 1, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 1, 3, 4, 5, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 3, 5, 5, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 2, 3, 5, 3, 5, 4, 4, 4, 3, 4, 1, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 2, 5, 4, 5, 3, 5, 3, 4, 4, 4, 3, 4, 2, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 4, 1, 4, 1, 5, 4, 1, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 5, 1, 5, 2, 4, 2, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5], "5794": [2, 2, 4, 4, 1, 5, 4, 4, 1, 5, 4, 4, 3, 5, 5, 5, 5, 5, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 3, 5, 4, 5, 3, 5, 2, 4, 3, 5, 4, 5, 4, 2, 4, 4, 4, 4, 3, 4, 3, 1, 5, 1, 5, 5, 2, 2, 4, 1, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 5, 1, 5, 5, 4, 4, 4, 3, 2, 1, 2, 5, 3, 5, 4, 4, 5, 3, 4, 3, 2, 1, 5, 4, 3, 1, 4, 4, 4, 5, 5, 4, 2, 4, 3, 3, 3, 1, 4, 3, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 3, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 1, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 4, 2, 3, 4, 4, 4, 1, 4, 2, 2, 5, 5, 4, 3, 5, 5, 5, 1, 4, 3, 5, 4, 5, 3, 5, 3, 4, 5, 4, 4, 1, 5, 5, 2, 3, 1, 2, 4, 1, 1, 3, 2, 4, 1, 5, 5, 3, 3, 4, 3, 1, 5, 5, 1, 4, 5, 2, 3, 3, 2, 3, 3, 3, 3, 5, 5, 3, 4, 3, 5, 5, 2, 4, 5, 3, 2, 3, 5, 5, 4, 3, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 4], "1252": [5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4], "278": [5, 3, 3, 4, 4, 4, 3, 5, 2, 4, 4, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 2, 4, 5, 5, 4, 5, 4, 2, 2, 4, 4, 5, 5, 4, 2, 5, 4, 4, 5, 3, 3, 4, 2, 3, 4, 4, 5, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 3, 3, 4, 4, 1, 5, 5, 3, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 3, 5, 3, 4, 5, 3, 4, 3, 3, 3, 4, 3, 4, 3, 5, 3, 3, 3, 5, 5, 3, 3, 3, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 5, 3, 5, 3, 3, 5, 1, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 3, 5, 3, 4, 3, 2, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 5, 4], "5362": [4, 2, 4, 3, 4, 3, 4, 3, 5, 3, 4, 4, 4, 1, 4, 4, 2, 3, 5, 2, 5, 3, 5, 4, 4, 4, 3, 2, 2, 2, 2, 2, 3, 2, 4, 2, 3, 3, 3, 2, 2, 5, 5, 3, 2, 3, 3, 3, 3, 5, 1, 5, 3, 4, 2, 3, 5, 4, 3, 4, 3, 1, 4, 3, 4, 3, 2, 3, 4, 5, 2, 2, 4, 3, 4, 4, 3, 4, 1, 1], "615": [5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 2, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5], "5365": [3, 5, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 3, 3, 3, 5, 5, 3, 3, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 3, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 3, 3, 5, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 1, 4, 4, 4, 3, 3, 4, 2, 4, 4, 5, 4, 3, 4, 5, 2, 5, 3, 2, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 5, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3], "2454": [4, 3, 1, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 4, 5, 4, 3, 4, 4, 3, 3, 5, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 4, 3, 3, 4, 5, 2, 4, 3, 5, 3, 5, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 2, 4, 3, 5, 4, 4, 3, 3, 4, 4, 1, 1, 3, 5, 2, 4, 2, 3, 2, 3, 4, 3, 4, 3, 4, 2, 2, 1, 5, 4, 4, 4, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 5, 3, 2, 2, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4, 2, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 4, 4, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 2, 4, 2, 4, 5, 2, 3, 2, 3, 2, 3, 3, 4, 4, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5], "5663": [3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 1, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 3, 5, 4, 5, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 5, 2, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 3, 3, 5, 5, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4, 5, 3, 5, 4, 5, 3, 4, 3, 4, 3, 5, 3], "286": [4, 4, 3, 4, 5, 4, 5, 2, 4, 4, 5, 3, 3, 4, 3, 3, 2, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 4, 3, 4, 4], "2667": [3, 3, 4, 3, 1, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 5, 1, 2, 3, 4, 5, 2, 3, 3, 4, 3, 4, 2, 4, 4], "4267": [4, 5, 4, 4, 4, 3, 4, 1, 2, 4, 3, 5], "2060": [5, 5, 4, 5, 3, 4, 3, 3, 4, 5, 2, 3, 4, 4, 2, 3, 4, 2, 3, 3, 2, 4, 1, 3, 3, 2, 5, 1, 5, 3, 2, 2, 4, 3, 2, 3, 3, 5, 2, 3, 2, 4, 4, 1, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 5, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 1, 1, 3, 4, 4, 3, 3, 5, 5, 4, 2, 3, 3, 3, 5, 4, 3, 1, 2, 5, 1, 4, 3, 4, 3, 3, 4, 3, 4, 4, 1, 2, 3, 5, 2, 1, 3, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 3, 4, 4, 2, 4, 4, 2, 5, 4, 4, 1, 4, 3, 4, 5, 2, 1, 3, 4, 4, 3, 4, 3, 4, 5, 4, 3, 2, 5, 4, 1, 5, 3, 3, 5, 5, 5, 3, 1, 5, 2, 2, 5, 2, 4, 3, 4, 3, 2, 4, 4, 3, 4, 2, 4, 3, 4, 2, 5, 3, 3, 3, 2, 3, 2, 4, 1, 4, 5, 2, 2, 4, 5], "2587": [5, 4, 4, 5, 5, 3, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 3, 3, 5, 5, 5], "4969": [3, 4, 3, 4, 4, 3, 3, 2, 5, 2, 4, 1, 2, 4, 3, 2, 5, 4, 2, 5, 4], "1152": [5, 5, 5, 2, 5, 2, 2, 2, 1, 5, 5, 5, 3, 1, 1, 3, 2, 3, 2, 1, 1, 2, 2, 2, 5, 3, 2, 1, 1, 1, 3, 2, 2, 2, 3, 3, 1, 1, 3, 3, 4, 4, 1, 2, 3, 1, 5, 1, 4, 2, 4, 3, 2, 3, 3, 2, 3, 4, 3, 4, 4, 1, 2, 1, 1, 1, 4, 1, 5, 2, 5, 2, 3, 3, 2, 1, 2, 3, 2, 2, 1, 1, 5, 3, 4, 2, 4, 4, 3, 3, 2, 3, 4, 2, 4, 4, 1, 5, 3, 4, 3, 2, 3, 4, 5, 2, 1], "4094": [5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 2, 4, 5, 4, 3, 4, 4, 3, 2, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4], "4659": [5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 5, 5, 4, 1, 5, 5, 5, 4, 3, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 1, 3, 3, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 2, 4, 4, 1, 4, 5, 3, 4, 5, 3, 2, 4, 5, 5, 5, 4, 5, 5, 2, 5, 3, 3, 5, 3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 2, 5, 3], "5682": [1, 5, 4, 3, 5, 2, 5, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 3, 2, 2, 5, 5, 2, 2, 2, 1, 3, 2, 3, 4, 4, 1, 4, 5, 3, 5, 5, 5, 4, 2, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 3, 3, 3, 5, 5, 5, 5, 5, 2, 3, 5, 4, 5, 2, 3, 1, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 1, 1, 5, 4, 5, 2, 4, 3, 3, 5, 3, 4, 3, 5, 5, 4, 4, 1, 2, 1, 4, 4, 4, 4, 3, 5, 5, 3, 2, 4, 3, 5, 5, 4, 4, 2, 5, 4, 3, 5, 1, 5, 4, 5, 4, 3, 4, 4, 4, 3, 2, 5, 2, 4, 3, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 3, 5, 5, 4, 5, 4, 5, 3, 1, 3, 1, 3, 5, 5, 3, 4, 3, 4, 3, 5, 5, 3, 2, 5, 5, 3, 5, 5, 5, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 5, 5, 4, 1, 2, 5, 5, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 1, 3, 5, 3, 3, 4, 4, 4, 5, 2, 5, 5, 4, 5, 4, 3, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 5, 2, 3, 2, 4, 4, 3, 4, 2, 2, 4, 2, 1, 1, 4, 3, 4, 4, 5, 5, 5, 2, 5, 5, 5, 3, 4, 4, 3, 5, 3, 5, 4, 4, 4, 2, 4, 4, 5, 5, 5, 4, 5, 2, 1, 5, 3, 3, 4, 3, 1, 5, 5, 4, 5, 5, 4, 2, 4, 5, 5, 5, 2, 4, 5, 5, 3, 5, 4, 4, 5, 1, 3, 3, 4, 5, 5, 5, 3, 5, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 2, 4, 4, 2, 5, 4, 5, 3, 4, 3, 4, 4, 4, 5, 1, 4, 3, 1, 4, 4, 4, 1, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 3, 3, 5, 2, 5, 5, 5, 5, 4, 4, 4, 5, 1, 1, 3, 3, 5, 2, 3, 4, 4, 1, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 2], "3860": [4, 5, 4, 5, 5, 5, 5, 4, 2, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 2, 4, 5, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 4, 2, 3, 1, 4, 3, 4, 4, 2, 4, 2, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 5, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 1, 4, 5], "611": [4, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 2, 3, 3, 5, 4, 5, 4, 4, 3, 4, 3, 2, 4, 2, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 5, 3, 3, 4], "3392": [3, 3, 3, 3, 5, 4, 5, 3, 5, 4, 5, 4, 5], "4917": [3, 2, 3, 1, 3, 3, 5, 2, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 2, 5, 5, 3, 5, 4, 3, 3, 4, 2, 4, 5, 2, 2, 4, 2, 3, 4, 2, 4, 4, 2, 1, 4, 4, 4, 4, 3, 2, 3, 2, 4, 4, 4, 4, 3, 5, 3, 2, 2, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 3, 2, 2, 3, 4, 4, 4, 2, 4, 4, 3, 5, 3, 5, 5, 3, 4, 2, 3, 1, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 1, 3, 4, 5, 4, 3, 3, 3, 3, 5, 4, 4, 4, 2, 3, 1, 2, 4, 2, 3, 3, 2, 4, 3, 4, 4, 3, 5, 3, 4, 2, 5, 2, 2, 3, 2, 3, 5, 4, 5, 2, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 2, 3, 2, 3, 4, 4, 4, 4, 4, 1, 5, 3, 1, 4, 4, 2, 4], "306": [3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 3, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 3, 3, 4, 5, 2, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5], "5781": [5, 3, 4, 4, 2, 3, 4, 4, 3, 2, 3, 4, 3, 3], "2044": [2, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 2, 3, 5, 4, 5, 4, 3, 2, 5, 5, 4], "1963": [2, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 3, 4, 3, 4, 5, 4, 5, 5, 4, 2, 2, 5, 5, 3, 5, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 3, 5, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 1, 3, 5, 5, 4, 5, 4, 1, 5, 5, 5, 4, 5, 3, 1, 5, 5], "1484": [3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 5, 4, 2, 4, 5, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 4, 3, 5, 1, 2, 3, 2, 5, 2, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 1, 5, 3, 3, 3, 1, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 3, 4, 2, 3, 5, 4, 3, 4, 3, 4, 4, 5, 4, 2, 4, 4, 3, 3, 4, 4, 3, 4, 1, 4, 2, 5, 5, 4, 4, 4, 3, 4, 5, 3, 2, 3, 1, 4, 3, 4, 3, 2, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 2, 4, 4, 5, 3, 1, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 3, 3, 1, 1, 4, 3, 2, 4, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 4, 2, 4, 3, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 4, 3, 3, 2, 4, 4, 4], "1989": [5, 5, 5, 4, 5, 2, 1, 3, 4, 1, 4, 4, 1, 5, 5, 2, 5, 2, 4, 1], "5541": [3, 4, 4, 3, 5, 4, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 3, 5, 3, 5, 5, 5], "252": [5, 5, 5, 3, 3, 3, 4, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4], "5407": [5, 4, 5, 1, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 3, 3, 2, 4, 4, 5], "82": [4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 5, 4, 5, 3, 5, 5, 3, 4, 5, 4, 2, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5], "5369": [3, 4, 4, 1, 3, 5, 5, 3, 3, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 1, 4, 3, 3, 5, 3, 4, 2, 3, 4, 3, 2, 5, 5, 3, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 2, 4, 3, 4, 5, 5, 4, 3, 3, 5, 3, 4, 5, 5, 5, 2, 3, 1, 4, 5, 3, 3, 4, 2, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 2, 4, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 5, 3, 5, 3, 5, 1, 5, 3, 4, 2, 5, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 3, 3, 5, 3, 3, 4, 4, 2, 5, 5, 3, 5, 3, 3, 5, 4, 3, 5, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 3, 4, 3, 2, 5, 5, 5, 3, 3, 5, 4, 5, 4, 2, 4, 4, 4, 5, 3, 4, 1, 3, 3, 1, 2, 4, 2, 2, 4, 2, 3, 5, 2, 2, 3, 1, 5, 5, 4, 5, 4, 4, 5], "961": [2, 4, 4, 3, 4], "4871": [5, 3, 4, 4, 4], "4149": [3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5], "5014": [3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 5, 1, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 1, 1, 3, 3, 5, 3, 3, 5, 2, 3, 5, 3, 4, 3, 3, 3, 4, 5, 4, 1, 5, 3, 5, 5, 2, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 3, 4, 3, 3, 5, 5, 5, 4, 3, 1, 3, 5, 2, 3, 3, 2, 2, 4, 5, 2, 3, 3, 2, 3, 4, 4, 3, 3, 4, 3, 1, 4, 3, 1, 3, 2, 2, 3, 2, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 2, 1, 5, 5, 3, 3, 3, 3], "4961": [3, 1, 3, 5, 3, 3, 5, 3, 5, 3, 3, 1, 1, 3, 3, 3, 5, 3, 3, 2, 3, 2, 4, 3, 3, 1, 1, 5, 3, 3, 4, 4, 3, 2, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 3, 3, 3, 5, 2, 4, 3, 2, 3, 3, 3, 4, 3, 5, 3, 3, 5, 5, 3, 3, 4, 3, 4, 4, 2, 3, 2, 2, 3, 2, 3, 5, 5, 3, 3, 4, 1, 4, 5, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 5, 4, 3, 5, 4, 3, 2, 3, 3, 4, 3, 4, 2], "3387": [3, 4, 5, 5, 4, 4, 4, 5, 1, 3, 4, 5, 3, 4, 5, 5, 2, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 3, 3, 4, 2, 4, 2, 2, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 5, 3, 2, 4, 1, 5, 5, 2, 3, 4, 5, 4, 2, 4, 3, 5, 2, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 1, 5, 3, 4, 5, 5, 4, 1, 3, 4, 4], "2686": [2, 5, 3, 3, 3, 4, 4, 2, 2, 2, 1, 2, 3, 1, 5], "3569": [3, 3, 3, 1, 2, 1, 5, 5, 2, 1, 1, 2, 3, 1, 3, 1, 3, 1, 4, 3, 3, 4, 3, 2, 5, 3, 1, 4, 4, 1, 3, 4, 1, 2, 3, 5, 2, 2, 3, 5, 3, 3, 2, 3, 3, 3, 3, 3, 5, 2, 3, 4, 4, 2, 2, 4, 3, 5, 3, 3, 1, 2, 2, 4, 3, 2, 2, 4, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 1, 2, 2, 4, 1, 1, 3, 2, 1, 4, 3, 3, 3, 3, 2, 2, 3, 1, 2, 4, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 3, 3, 1, 3, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 2, 4, 4, 2, 3, 3, 4, 2, 4, 2, 2, 5, 3, 1, 1, 1, 3, 1, 2, 1, 1, 4, 3, 1, 1, 4, 1, 5, 4, 2, 3, 1, 3, 5, 3, 1, 3, 4, 2, 1, 1, 3, 3, 3, 3, 2, 4, 3, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 5, 3, 2, 4, 1, 5, 5, 5, 4, 4, 2, 5, 3, 5, 1, 3, 4, 4, 4, 2, 1, 2, 1, 3, 3, 4, 3, 2, 1, 1, 1, 4, 3, 3, 3, 2, 3, 3, 1, 1, 1, 4, 1, 3, 3, 1, 3, 5, 2, 3, 4, 2, 2, 5, 2, 3, 4, 2, 5, 3, 3, 3, 2, 1, 5, 4, 4, 2, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 2, 1, 3, 1, 3, 4, 2, 2, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 3, 4, 1, 2, 4, 2, 2, 2, 3, 3, 2, 2, 5, 1, 4, 1, 1, 3, 3, 3, 5, 3, 2, 3, 4, 1, 2, 3, 1, 1, 3, 4, 2, 3, 2, 2, 3, 2, 5, 3, 1, 3, 2, 5, 4, 3, 5, 5, 3, 1, 4, 1, 3, 2, 2, 4, 3, 4, 4, 2, 3, 5, 4, 4, 2, 4, 5, 1, 1, 2, 3, 2, 1, 2, 5, 5, 5], "2290": [4, 3, 2, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 5, 2, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 3, 2, 3, 3, 5, 4, 2, 3, 2, 3, 4, 2, 4, 2, 3, 4, 2, 4, 3, 4, 4, 2, 3, 3, 5, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 4, 2, 4], "149": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 3, 3, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 2, 4, 5, 5, 4, 5, 3, 3, 3, 5, 3, 5, 5, 3, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 4, 3, 1, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 2, 5, 4, 5, 2, 5, 3, 3, 4, 4, 3, 4, 3, 3, 2, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 5, 3, 5, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 2, 5, 2, 3, 3, 3, 2, 3, 3, 3, 3, 5, 5, 3, 4, 4, 5, 4, 5, 4, 2, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 5, 5, 5, 4, 2, 2, 3, 5, 5, 5, 4, 2, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 5, 3, 4, 4, 5, 5, 2, 3, 4, 4, 4, 3, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 2, 3, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 3, 2, 4, 2, 4, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 2, 3, 2, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5], "5970": [3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 4, 5, 1, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 1, 1, 3, 4, 5], "4914": [4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 2, 5, 2, 4, 3, 3, 5, 5, 3, 4, 1, 4, 3, 5, 5, 2, 5, 4, 4, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 4], "408": [5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 5, 5, 1, 5, 4, 5, 5, 2, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 3, 5, 3, 3, 3, 4, 5, 5, 5, 3, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 1, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 1, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5], "4299": [5, 4, 4, 5, 1, 3, 5, 3, 4, 5, 5, 3, 4, 1, 3, 5, 5, 3, 5, 5, 5, 4, 1, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 2, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 2, 3], "1028": [4, 5, 5, 2, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 1, 4, 5, 4, 2, 5, 5, 5, 5, 4, 5, 4, 4, 3, 2, 2, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4], "3972": [3, 4, 3, 5, 3, 5, 2, 2, 4], "3211": [5, 4, 4, 5, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 4, 1, 3, 4, 2, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 3, 2, 3, 4, 5, 2, 2, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3], "5205": [2, 3, 5, 4, 5, 2, 5, 4, 3, 4, 4, 3, 3, 1, 4, 2, 3, 4, 4, 2, 2, 2, 1, 2, 2, 1, 5, 4, 4, 1, 1, 3, 4, 5, 2, 2, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 1, 4, 1, 3, 2, 2, 3, 3, 4, 2, 2, 3, 5, 2, 3, 3, 5, 3, 3, 3, 2, 4, 4, 4, 1, 5, 4, 4, 5, 2, 3, 2, 4, 1, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 3, 1, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 1, 3, 5, 4, 5, 3, 4, 5, 1, 4, 4, 5, 5, 4, 2, 3, 3, 5, 4, 4, 3, 2, 3, 5, 5, 3, 4, 4, 4, 5, 1, 5, 4, 3, 4, 4, 4, 4, 3, 4, 1, 5, 5, 5, 2, 3, 3, 4, 3, 3, 2, 2, 3, 4, 4, 3, 4, 2, 3, 3, 5, 3, 3, 2, 5, 5, 2, 4, 3, 2, 4, 3, 5, 2, 4, 5, 4, 4, 4, 4, 2, 4, 3, 1, 3, 2, 1, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 1, 1, 2, 5, 3, 2, 5, 1, 2, 1, 5, 5, 2, 5, 4, 4, 3, 5, 1, 3, 4, 4, 2, 5], "3540": [4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 5, 2, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 3, 3, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 4, 3, 5, 5], "535": [3, 3, 5, 4, 2, 1, 4, 4, 5, 1, 5, 4, 3], "2856": [4, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 2, 1, 4, 4, 4, 4, 3, 5, 4, 3, 1, 3, 4, 3, 3, 4, 4, 4, 1, 5, 4, 5, 3, 3], "5683": [3, 3, 4, 5, 3, 5, 3, 3, 3, 4, 5, 4, 3, 3, 3, 2, 5, 4, 4, 3, 5, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 3, 5, 5, 3, 5, 2, 3, 5, 3, 4, 3, 3, 3, 5, 3, 4, 5, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 4, 3, 4, 2, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 5, 3, 3, 5, 4, 3, 4], "619": [3, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 4], "2424": [3, 3, 5, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 2, 2, 4, 3, 4, 3, 4, 1, 5, 4, 3, 4, 3, 5, 3, 4, 3, 2, 3, 5, 1, 1, 3, 1, 4, 1, 3, 3, 5, 3, 1, 2, 2, 3, 2, 4, 5, 2, 3, 4, 1, 3, 3, 2, 3, 2, 4, 5, 5, 2, 4, 4, 3, 2, 3, 3, 4, 3, 1, 5, 4, 5, 2, 3, 4, 5, 4, 3, 4, 4, 2, 3, 3, 5, 4, 4, 2, 5, 3, 3, 2, 2, 4, 2, 5, 4, 3, 2, 5, 1, 3, 3, 3, 4, 4, 1, 5, 1, 3, 4, 4, 3, 5, 3, 2, 3, 2, 5, 4, 2, 5, 5, 3], "908": [4, 5, 3, 5, 2, 3, 4, 3, 2, 4, 5, 3, 4, 2, 2, 4, 4, 4, 4, 2, 2, 4, 3, 1, 2, 5, 3, 5, 2, 4, 5, 2], "3310": [4, 4, 5, 5, 1, 5, 5, 4, 4, 2, 3, 5, 5, 5, 4, 4, 5, 4, 5, 2, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 3, 3, 2, 3, 3, 5, 5, 5, 5], "88": [4, 5, 1, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 1, 4, 4, 5, 5, 4, 5, 4, 2, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 2, 5, 5, 5, 3, 5, 3, 3, 5, 5, 4, 5, 3, 5, 5, 5, 3, 4, 3, 3, 5, 5], "3640": [5, 4, 5, 5, 2, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 2, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4], "2986": [4, 3, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 5, 4, 4, 3, 3, 4, 3, 3, 5, 3, 4, 3, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 1, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 5, 2, 4, 3, 3, 2, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 2, 5, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 1, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 3, 4, 5, 5, 3, 3, 3, 3, 5, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 2, 3, 4, 3, 5, 3, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 3, 2, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 5, 3, 2, 3, 3, 4, 4, 3, 3, 4, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3], "1646": [4, 4, 4, 2, 2, 5, 1, 5, 2, 3, 2, 3, 5, 2, 5, 3, 4, 2, 5, 1, 2, 2, 1, 4, 3, 2, 1, 1, 1, 2, 2, 5, 3, 2, 4], "503": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 2, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5], "2094": [4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 5, 5, 5, 1, 4, 5, 5, 1, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 3, 3, 5, 5, 5, 1, 1, 4, 4, 5, 5, 2, 4], "689": [2, 5, 4, 4, 3, 3, 4, 2, 2, 5, 4, 4, 4, 2, 5, 3, 5, 3, 4, 2, 3, 4, 5, 4, 2, 4, 3, 4, 3, 5, 4, 2, 1, 3, 3, 3, 5, 4, 3, 5, 4, 5, 4, 2, 4, 4, 2, 2, 2, 2, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 5, 3, 2, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 2, 3, 4, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 1, 3, 4, 4, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3], "5368": [1, 1, 4, 5, 2, 5, 3, 2, 5, 3, 2, 1, 2, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 1, 2, 2, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 5, 3, 5, 1, 3, 4, 3, 4, 5, 2, 1, 5, 3, 4, 1, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 1, 3, 3, 3, 3, 2, 5, 2, 1, 4], "5510": [3, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 2, 5, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 5, 5, 3, 5, 3, 4, 4], "4852": [3, 3, 5, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 1, 4, 3, 3, 2, 5, 1, 4, 4, 5, 3, 5, 2, 5, 4, 1, 1, 1, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 1, 2, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 1, 2, 5, 4, 5, 1, 3, 4, 4, 2, 5, 2, 3, 5, 3, 3, 5, 3, 4, 4, 4, 4, 2, 3, 4, 4, 5, 5, 3, 5, 5, 3, 3, 4, 4, 3, 5, 3, 4, 3, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 1, 5, 5, 4, 5, 4, 4, 2, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 5, 2, 4, 1, 4, 5, 4, 3, 3, 4, 3, 5, 5, 4, 4, 5, 3, 5, 5, 3, 2, 3, 1, 5, 2, 4, 4, 3, 3, 5, 4, 5, 3, 2, 5, 3, 4, 4, 4, 5, 3, 1, 1, 2, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 2, 5, 3, 3, 4, 3, 4, 4, 3, 4, 3, 2, 5, 4, 2], "5960": [5, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 1, 4, 5, 4, 3, 5, 4, 4, 3, 3, 5, 5, 4, 5, 4, 1, 4, 3, 3, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 1, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 3, 4, 5, 3, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 2, 3, 3], "4892": [3, 4, 3, 3, 4, 2, 3, 3, 5, 3, 4, 4, 4, 3, 4, 2, 1, 1, 5, 4, 3, 4, 3, 5, 2, 2, 4, 3, 4, 2, 3, 4, 1, 3, 2, 3, 5, 4, 3, 3, 3, 4, 4, 5, 5, 2, 2, 5, 2, 4, 2, 3, 3, 3, 4, 5, 1, 3, 5, 2, 2, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 3, 3, 4, 3, 2, 4, 3, 2, 2, 4, 4, 3], "2131": [4, 4, 2, 5, 5, 4, 2, 4, 5, 4, 3, 4, 4, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 2, 4, 4, 4, 3, 3, 2, 4, 4, 5, 4, 3, 5, 3, 2, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 4, 5, 5, 4, 2, 4, 2, 3, 4, 3, 4, 5, 2, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 4, 1, 3, 3, 4, 4, 1, 4, 3, 5, 5, 2, 3, 3, 4, 3, 4, 1, 3, 3, 3, 3, 4, 4, 4, 2, 2, 2, 5, 2, 1, 2, 2, 5, 4, 1, 3, 4, 3, 2, 3, 4, 2, 4, 1, 3, 4, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 2, 4, 2, 4, 4, 4, 3, 2, 2, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 2, 2, 2, 4, 3, 2, 2, 4, 5, 2, 4, 4, 5, 2, 3, 3, 2, 2, 3, 3, 5, 4, 2, 1, 1, 1, 4, 2, 5, 5, 1, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 2, 4, 1, 4, 3, 2, 4, 3, 4, 4, 4, 5, 5, 4, 3], "3955": [4, 4, 3, 5, 4, 1, 3, 3, 5, 3, 4, 5, 5, 3, 4, 2, 3, 5, 3, 3, 5, 4, 5, 4, 3, 2, 1, 4, 4, 3, 3, 4, 5, 4, 5, 4, 2, 5, 4, 4, 4, 3, 5, 3, 3, 4, 4, 1, 2, 5, 3, 4, 1, 4, 3, 3, 5, 2, 4, 4, 2, 2, 1, 5, 5, 3, 2, 5, 1, 4, 3, 5, 5, 5, 5, 4, 5, 3, 3, 5, 4, 3, 3, 4, 2, 3, 3, 3, 3, 5, 2, 3, 2, 2, 4, 2, 5, 3, 5, 4, 5, 5, 4, 4, 1, 3, 3, 2, 3, 1, 5, 4, 4, 4, 3, 3], "732": [3, 3, 4, 5, 5, 1, 5, 4, 1, 5, 4, 1, 5, 5, 4, 1, 4, 4, 3, 1, 5, 5, 5, 5, 3, 1, 4, 5, 4, 3, 4, 3, 5, 3, 1, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 1, 2, 3, 1, 4, 4, 5, 3, 5, 3, 5, 1, 5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 1, 1, 5, 5, 4, 1, 1, 1, 5, 2, 3, 3, 5, 1, 5, 1, 5, 2, 4, 1, 5, 4, 3, 5, 5, 5, 1, 1, 5, 4, 4, 4, 1, 5, 4, 5, 2, 5, 5, 5, 2, 3, 2, 1, 4, 4, 3, 5, 1, 4, 5, 1, 1, 2, 2, 4, 5, 5, 1, 1, 1, 4, 5, 2, 2, 4, 3, 4, 1, 5, 5, 4, 3, 3, 5, 3, 3, 5, 3, 5, 4, 3, 2, 2, 1, 4], "3173": [4, 3, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 2, 5, 3, 4, 5, 4, 3, 4, 5, 5, 3, 4, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 3, 5, 4, 5, 5, 4, 5, 2, 4, 3, 4, 5, 3, 5, 3, 3, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5], "5658": [4, 2, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 4, 4, 5, 3, 2, 5, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 5, 4, 5, 5, 2, 5, 4, 4, 1, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 2, 4, 5, 4, 4, 5, 5, 4, 5, 4, 2, 4, 5, 4, 3, 3, 4, 5, 5, 4, 5, 2, 5], "5344": [4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 1, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 1, 4, 2, 4, 4, 2, 4, 4, 1, 3, 4, 4, 1, 4, 4, 2, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 2, 1, 3, 1, 4, 4, 4, 1, 4, 4, 3, 4, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 2, 4, 5, 4, 3, 4, 3, 5, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 1, 4, 2, 4, 4, 5, 4, 2, 4, 4, 4, 1, 4, 2, 4, 4, 4, 4, 3], "858": [4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 4, 3, 5, 3, 3, 4, 2, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 4, 1, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 2, 3, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 4, 3, 3, 4, 5, 3, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 4, 4, 3, 5, 3, 5, 3, 5, 5, 3, 3, 5], "2179": [4, 4, 4, 5, 4, 3, 4, 3, 2, 2, 3, 3, 3, 2, 3, 1, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 3, 4, 4, 2, 4, 4, 2, 2, 3, 5, 4, 2, 3, 3, 4, 3, 5, 4, 5, 3, 3, 3, 3, 5, 2, 2, 1, 4, 4, 4, 5, 2, 4, 2, 3, 4, 5, 3, 5, 2, 4, 3, 4, 2, 4, 3, 2, 3, 3, 4, 3, 2, 3, 5, 2, 3, 4, 4, 2, 5, 3, 4, 4, 3, 2, 2, 2, 5, 4, 2, 2, 5, 3, 3, 4, 4, 3, 3], "2356": [4, 5, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 5, 3, 4, 4], "5952": [4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 1, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3], "2341": [3, 4, 4, 3, 3, 3, 2, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4], "3047": [5, 2, 3, 4, 3, 2, 4, 3, 4, 2, 3, 2, 4, 4, 4, 2, 4, 3, 1, 2, 5, 4, 3, 3, 5, 4, 5, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 2, 3, 5, 5, 4, 2, 4, 3, 1, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 3], "589": [5, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 5, 4, 1, 2, 3, 3, 4, 4, 5, 5], "1481": [5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5], "332": [5, 4, 1, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 2, 4, 4, 5, 1, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 1], "811": [4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 5, 3, 3, 4, 5, 2, 5, 4, 3, 4, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4], "1126": [5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 3, 5, 3, 5, 4], "4619": [2, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 2, 4, 3, 5, 3, 3, 3, 3, 2, 3, 4, 5, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 5, 5, 4, 2, 5, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 3, 2, 2, 5, 3, 2, 5, 3, 5, 4, 4, 3, 4, 3, 3, 5, 3, 4, 4, 3, 2, 4, 5, 5, 1, 3, 2, 2, 4, 3, 4, 2, 4, 3, 4, 3, 2, 2, 3, 4, 5, 2, 3, 4, 2, 5, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 3, 5], "4641": [5, 1, 5, 4, 1, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 2, 4, 2, 5, 1, 5, 4, 4], "1176": [5, 4, 4, 4, 4, 2, 5, 2, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 3, 3, 5, 5, 5, 3, 5, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 2, 4, 5, 4, 2, 4, 3, 3, 4, 4, 3, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 2, 5, 4, 4, 5, 4, 5], "2907": [3, 2, 3, 4, 3, 5, 3, 3, 2, 4, 3, 2, 3, 4, 4, 5, 1, 5, 2, 5, 4, 3, 5, 2, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 5, 4, 5, 3, 2, 5, 2, 3, 3, 3, 3, 3, 3, 2, 5, 5, 2, 5, 3, 2, 3, 2, 4, 5, 3, 3, 3, 3, 4, 2, 3, 5, 3, 2, 3, 5, 5, 1, 4, 3, 4, 4, 3, 5, 3, 5, 3, 5, 4, 3, 4, 1, 3, 4, 3, 3, 5, 3, 5, 2, 2, 3, 5, 3, 4, 3, 5, 3, 3, 3, 3, 3, 4, 5, 3, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 2, 3, 5, 2, 5, 5, 3, 2, 3, 3, 4, 4, 3, 4, 2, 5, 3, 5, 4, 2, 4, 3, 5, 3, 5, 3, 2, 3, 3, 3, 5, 5, 3, 3, 2, 4, 5, 2, 3, 3, 5, 2, 4, 3, 3, 1, 3, 2, 2, 4, 2, 1, 5, 3, 2, 3, 3, 2, 4, 5, 1, 2, 5, 5, 4, 4, 3, 5, 2, 3, 2, 5, 4, 5, 4, 3, 2, 2, 2, 3, 4, 3, 3, 2, 5, 3, 5, 2, 3, 5, 3, 2, 4, 3, 4, 3, 4, 4, 2, 3, 3, 3, 5, 5, 3, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 3, 2, 2, 5, 4, 4, 3, 5, 3, 2, 3, 4, 5, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 3, 1, 2, 2, 3, 2, 1, 3, 5, 4, 3, 3, 5, 3, 4, 5, 2, 3, 3, 2, 5, 3, 5, 4, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 5, 3, 3, 2, 3, 4, 3, 3, 2, 3, 5, 5, 2, 4, 2, 4, 3, 3, 4, 2, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 5, 2, 5, 2, 5, 5, 3, 3, 4, 3, 4, 2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 5, 2, 3, 2, 2, 2, 3, 3, 2, 3, 1, 4, 3, 5, 3, 3, 2, 4, 5, 3, 3, 2, 5, 4, 4, 2, 2, 4, 3, 2, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 3, 1, 3, 2, 5, 3, 4, 4, 4, 5, 2, 3, 5, 2, 3, 3, 3, 2, 3, 3, 2, 3, 5, 3, 3, 3, 2, 5, 4, 4, 3, 2, 3, 3, 3, 5, 3, 4, 3, 3, 4, 4, 1, 3, 3, 2, 3, 4, 3, 2, 3, 2, 1, 2, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 3, 3, 2, 5, 3, 4, 2, 3, 5, 2, 3, 5, 4, 2, 3, 3, 3, 5, 3, 1, 5, 5, 3, 2, 5, 1, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 3, 4, 4, 2, 3, 3, 5, 3, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 3, 2, 3, 5, 5, 4, 2, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 1, 3, 2, 2, 2, 2, 5, 3, 2, 4, 3, 2, 3, 2, 2, 2, 3, 2, 4, 3, 5, 4, 3, 2, 2, 5, 2, 3, 5, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 5, 3, 5, 2, 3, 2, 3, 2, 2, 2, 5, 2, 3, 4, 2, 3, 3, 4, 4, 3, 5, 4, 5, 2, 3, 4, 4, 4, 3, 5, 3, 3, 3, 3, 2, 4, 3, 4, 4, 5, 3, 3, 4, 2, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 5, 5, 3, 2, 4, 5, 3, 5, 5, 3, 5, 5, 4, 3, 3, 4, 5, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 1, 2, 3, 4, 3, 1, 3, 3, 5, 3, 3, 5, 4, 5, 3, 3, 2], "5565": [4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 2, 5, 4, 5, 4, 2, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 2, 5, 5, 3, 5, 2, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 2, 3, 3, 3, 2, 3, 5, 2, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4], "2962": [3, 5, 3, 2, 3, 2, 3, 2, 4, 3, 1, 3, 4, 3, 3, 3, 2, 4, 2, 3, 3, 4, 2, 4, 2, 3, 5, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 4, 4, 5, 2, 3, 3, 2, 4, 3, 3, 3, 5, 2, 4, 3, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 5, 5, 3, 2, 3, 4, 2, 1, 4, 2, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 3, 3, 2, 3, 2, 4, 2, 1, 4, 3, 4, 3, 3, 4, 3, 2, 2, 4, 3, 4, 1, 5, 3, 4, 4, 2, 3, 2, 5, 4, 4, 2, 2, 3, 3, 2, 2, 3, 2, 2, 4, 4, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 3, 3, 2, 2, 4, 2, 3, 2, 2, 2, 5, 4, 3, 1, 4, 3, 2, 3, 1, 3, 2, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 3, 2, 4, 4, 4, 3, 2, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 5, 3, 2, 4, 5, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 3, 1, 3, 4, 2, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 4, 3, 3, 5, 2, 2, 2, 3, 4, 5, 4, 3, 2, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 5, 4, 3, 2, 3, 1, 3, 2, 4, 3, 3, 3, 2, 4, 4, 2, 4, 2, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 4, 2, 5, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 1, 4, 2, 2, 2, 2, 3, 1, 1, 3, 3, 3, 3, 1, 2, 3, 2, 3, 4, 4, 3, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 3, 3, 3, 2, 4, 2, 4, 4, 4, 4, 3, 3, 3, 2, 3, 2, 4, 2, 3, 3, 4, 2, 3, 4, 3, 5, 2, 5, 4, 2, 3, 3, 2, 2, 4, 4, 4, 2, 3, 2, 5, 4, 2, 2, 2, 3, 2, 2, 1, 1, 3, 2, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 2, 3, 2, 2, 4, 2, 4, 2, 2, 2, 3, 4, 2, 4, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 2, 1, 3, 2, 3, 3, 3, 4, 4, 5, 5, 1, 4, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 1, 4, 3, 3, 3, 2, 2, 4, 4, 4, 3, 2, 3, 3, 3, 4, 5, 3, 4, 2, 1, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 4, 3, 5, 2, 2, 2, 4, 2, 2, 3, 3, 3, 1, 4, 3, 3, 2, 4], "3554": [3, 4, 5, 3, 3, 5, 2, 2, 3, 3, 5, 4, 3, 5, 3, 1, 4, 4, 4, 5, 4, 5, 4, 3, 4, 3, 4, 5, 3, 3, 5, 4], "1681": [5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 2, 1, 4, 3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 2, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 2, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5], "22": [4, 2, 3, 2, 3, 2, 3, 3, 3, 2, 4, 5, 4, 4, 4, 3, 2, 2, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 2, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 2, 5, 2, 4, 3, 4, 4, 4, 2, 2, 3, 3, 5, 3, 2, 3, 2, 3, 4, 2, 4, 4, 4, 4, 3, 4, 2, 4, 3, 3, 2, 4, 2, 3, 3, 4, 1, 2, 4, 4, 3, 3, 3, 4, 2, 3, 4, 4, 4, 4, 1, 5, 3, 3, 3, 2, 3, 2, 5, 2, 2, 3, 4, 2, 4, 4, 1, 4, 1, 1, 4, 4, 3, 3, 3, 2, 3, 2, 1, 4, 4, 4, 5, 4, 4, 3, 4, 1, 2, 4, 3, 1, 3, 3, 3, 3, 3, 4, 4, 3, 1, 4, 3, 2, 4, 2, 3, 3, 1, 3, 2, 1, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 2, 3, 3, 4, 2, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 2, 1, 3, 2, 4, 3, 4, 2, 4, 2, 4, 5, 4, 4, 2, 4, 4, 4, 4, 3, 2, 3, 4, 3, 2, 3, 3, 1, 2, 4, 4, 3, 4, 2, 4, 4, 2, 3, 4], "4201": [2, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3], "676": [2, 3, 3, 2, 3, 3, 2, 3, 4, 4, 4, 5, 5, 3, 2, 3, 5, 2, 3, 2, 4, 3, 5, 5, 1, 3, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 4, 3, 2, 2, 2, 5, 3, 3, 2, 3, 3, 4, 4, 3, 3, 4, 3, 5, 3, 3, 2, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 4, 3, 2, 2, 2, 1, 3, 4, 3, 2, 3, 3, 1, 2, 3, 5, 4, 4, 4, 5, 4, 2, 5, 2, 3, 3, 3, 5, 3, 3, 3, 4, 2, 3, 2, 4, 2, 3, 5, 3, 2, 2, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 2, 4, 2, 4, 4, 4, 2, 4, 4, 3, 3, 2, 1, 3, 3, 3, 3, 2, 2, 4, 4, 5, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 3, 4, 2, 4, 4, 2, 4, 1, 2, 4, 1, 1, 3, 4, 2, 4, 5, 4, 4, 3, 3, 2, 5, 3, 4, 3, 3, 4, 3, 3, 5, 3, 2, 2, 3, 5, 2, 3, 4, 2, 1, 2, 4, 4, 4, 4, 4, 2, 2, 2, 4, 1, 3, 3, 4, 3, 2, 1, 1, 4, 5, 1, 4, 3, 2, 5, 4, 3, 4, 2, 4, 4, 4, 4, 3, 2, 2, 5, 3, 3, 5, 4, 2, 3, 3, 5, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 5, 2, 4, 2, 3, 2, 2, 5, 3, 4, 4, 3, 2, 5, 3, 2, 3, 2, 3, 4, 4, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 5, 4, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 2, 4, 2, 3, 3, 3, 5, 3, 4, 5, 3], "5709": [5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 1, 5, 5, 5, 4, 2, 3, 5, 4, 5, 4, 4, 4, 1, 5, 4, 3, 1, 3, 4, 5, 5, 3, 3, 5, 3, 5, 2, 4, 1, 4, 5, 2, 5, 1, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 3, 4, 3, 4, 2, 3, 5, 5, 5, 3, 4, 5, 4, 4, 4, 3, 5, 2, 3, 4, 4, 4, 2, 2, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 3, 2, 3, 4, 4, 5, 4, 4, 5, 3, 2], "2634": [4, 3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 3, 2, 4, 5, 2, 3, 3, 3, 3, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 3, 5, 4, 5, 3, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 3], "935": [5, 4, 3, 4, 3, 4, 2, 2, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 2, 3, 3, 4, 5, 4, 2, 2, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 4, 5, 4, 3, 5, 3, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 3, 4, 4, 4, 5, 3, 4, 3, 2, 3, 3, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 2, 2, 4, 3, 5, 5, 4, 3, 3, 3, 5, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 3, 5, 4, 2, 4, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 2, 4, 3, 4, 5, 4, 4, 5, 5, 2, 4, 4, 3, 5, 3, 5, 4, 4, 4, 3, 2, 3, 3, 4, 2, 4, 3, 3, 1, 4, 2, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 3, 3, 4, 4], "1246": [4, 4, 3, 1, 3, 5, 4, 3, 2, 4, 4, 4, 5, 4, 3, 3, 2, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 3, 3, 4, 2, 4, 4, 3, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 3, 5, 3, 3, 5, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 2, 3, 4, 5, 4, 2, 4, 3, 2, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 2, 3, 2, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 2, 4, 3, 3, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 5, 1, 2, 2, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 3, 4, 5, 5, 3, 5, 3, 5, 4, 5, 3, 4, 3, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 5, 4, 4, 3, 2, 5, 3, 2, 4, 3, 3, 5, 3, 5, 3, 5, 4, 4, 4, 3, 4, 1, 4, 3, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 2, 3, 4, 5, 2, 2, 2, 3, 4, 3, 4, 3, 4, 3, 2, 4, 4, 1, 5, 3, 3, 3, 4, 5, 3, 4, 3, 4, 4, 5, 3, 2, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 3, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 4, 5, 3, 4, 2, 5, 4, 2, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 2, 5, 5, 4, 5, 4, 4, 4, 2, 5, 3, 4, 5, 4, 5, 3, 5, 5, 3, 1, 5, 4, 5, 4, 2, 4, 3, 5, 5, 4, 4, 3], "3840": [5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 4, 5, 3, 3, 3, 5, 2, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 3, 5, 5, 4, 5, 4, 2, 5, 3, 5, 4, 5], "66": [5, 3, 2, 5, 5, 3, 5, 2, 2, 4, 5, 5, 5, 5, 1, 5, 4, 3], "3819": [2, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 5, 4, 4, 5, 5, 1, 5, 5, 5, 4, 5, 3, 2, 4, 4, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 4, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 4, 3, 3, 3, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 3], "667": [2, 3, 5, 5, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 1, 3, 1, 3, 3, 3, 4, 4, 4, 1, 5, 4, 3, 2, 2, 5, 3, 3, 1, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 2, 3, 1, 3, 4, 2, 3, 2, 2, 4, 3, 4, 3, 3, 2, 1, 3, 4, 1, 4, 4, 3, 3, 2, 1, 4, 2, 1, 3, 2, 2, 3, 2, 4, 3, 1, 3, 3, 4, 1, 3, 3, 3, 2, 3, 4, 5, 1, 1, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 3], "1985": [5, 5, 3, 3, 3, 5, 3, 4, 3, 4, 4, 2, 4, 5, 4, 5, 3, 3, 3, 4, 4, 5, 4, 3, 4, 3, 3, 5, 3, 4, 5, 3, 4, 3, 4, 4, 3, 5, 3, 4, 5, 5, 3, 2, 5, 4, 3, 5, 2, 2, 3, 3, 4, 3, 4, 5, 5, 4, 2, 3, 3, 5, 3, 5, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 4, 3, 2, 3, 2, 4, 2, 2, 4, 2, 4, 3, 5, 4, 3, 3, 1, 4, 5, 2, 3, 4, 5, 5, 1, 3, 3, 2, 3, 5, 3, 3, 3, 4, 4, 3, 2, 2, 2, 5, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 3, 3, 4, 3], "1315": [5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4], "2347": [4, 5, 5, 2, 3, 5, 4, 5, 2, 5, 4, 3, 3, 3, 4, 3, 4, 5, 4, 3, 5], "4045": [5, 3, 5, 5, 4, 4, 5, 4, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 1, 3, 4, 3, 1, 5, 5], "1167": [4, 2, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 1, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3], "571": [5, 2, 3, 5, 4, 4, 3, 5, 2, 5, 5, 5, 2, 3, 5, 5, 4, 3, 5, 4, 5, 3, 2, 4, 3, 3, 3, 2, 3, 2, 4, 3, 4, 5, 4, 2, 5, 5, 5, 4, 5, 4, 4, 3, 2, 5, 4, 2, 3, 5, 4, 3, 5, 3, 3, 5, 3, 4, 4, 5, 4, 3, 4, 5, 2, 4, 5, 5, 5, 4, 2, 4, 2, 3, 5, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 4, 2, 3, 3, 5, 3, 5, 1, 2, 5, 5, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 3, 5, 3, 2, 4, 5, 4, 1], "1946": [5, 5, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 3, 3, 4, 5, 2, 3, 4, 4, 3, 2, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 1, 5, 4, 4, 5, 5, 2, 4, 4, 5, 4, 3], "3404": [5, 2, 4, 3, 4, 4, 3, 5, 4, 5, 3, 3, 3, 4, 3, 4, 5, 3, 4, 5], "1496": [5, 4, 3, 2, 2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 1, 3, 3, 3, 2, 4, 2, 4, 4, 3, 4, 3, 4, 2, 1, 4, 4, 1, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 5, 2, 3, 1, 3, 3, 1, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 4, 3, 3, 3, 5, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 1, 4, 1, 5, 3, 4, 2, 3, 2, 3, 3, 2, 1, 3, 2, 2, 3, 3, 2, 4, 2, 4, 1, 3, 3, 3, 2, 3, 3, 3, 4, 4, 1, 1, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 4, 3, 1, 2, 3, 2, 3, 3, 1, 4, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3, 4, 2, 4, 4, 3, 5, 3, 4, 1, 5, 3, 3, 2, 3, 1, 2, 2, 4, 2, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 4, 3, 3, 4, 1, 3, 4, 4, 3, 3, 2, 3, 2, 2, 3, 3, 2, 4, 2, 2, 2, 3, 4, 4, 4, 3, 3, 3, 2, 2, 1, 3, 3, 2, 2, 3, 3, 3, 4, 5, 5, 3, 3, 3, 3, 3, 1, 4, 4, 3, 1, 1, 4, 4, 3, 1, 3, 4, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 3, 4, 1, 4, 2, 1, 4, 3, 1, 2, 3, 2, 2, 4, 4, 2, 2, 2, 4, 2, 1, 4, 3, 3, 4, 3, 4, 2, 3, 3, 1, 1, 3, 1, 2, 2, 4, 3, 3, 3, 4, 3, 1, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 1, 2, 2, 3, 3, 5, 4, 3, 4, 1, 2, 3, 3, 5, 2, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 4, 3, 2, 1, 2, 2, 4, 3, 2, 3, 3, 2, 2, 4, 3, 2, 2, 3, 2, 2, 2, 4, 3, 3, 3, 4, 3, 3, 4, 3, 2, 1, 2, 3, 3, 3, 4, 1, 4, 3, 3, 1, 4, 4, 2, 2, 4, 2, 1, 4, 2, 2, 1, 2, 3, 1, 1, 3, 2, 4, 4, 2, 2, 3, 3, 4, 2, 1, 4, 3, 4, 3, 2, 5, 3, 3, 2, 2, 3, 3, 4, 2, 1, 2, 3, 4, 2, 3, 3, 2, 1, 4, 5, 4, 1, 2, 4, 4, 3, 1, 4, 3, 3, 2, 5, 4, 3, 3, 2, 4, 1, 1, 3, 3, 2, 3, 4, 3, 3, 5, 4, 3, 5, 3, 3, 3, 4, 2, 2, 2, 4, 2, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 1, 2, 4, 3, 4, 4, 2, 2, 4, 3], "360": [4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 2, 3, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4], "2330": [1, 3, 2, 3, 1, 2, 3, 5, 2, 3, 3, 5, 3, 4, 2, 5, 4, 3, 3, 3, 5, 2, 5, 5, 3, 5, 4, 4, 3, 4, 1, 5, 1, 1, 1, 3, 3, 3, 2, 2, 5, 1, 1, 5, 5, 4, 1, 2, 3, 4, 4, 2, 4, 2, 5, 1, 1, 2, 2, 4, 4, 4, 2, 3, 1, 2, 3, 2, 3, 3, 5, 4, 3, 4, 2, 3, 2, 4, 4, 2, 3, 3, 3, 5, 1, 2, 2, 3, 3, 3, 4, 2, 3, 4, 3, 1, 5, 5, 2, 1, 4, 1, 3, 4, 1, 1, 5, 4, 4, 4], "3199": [4, 3, 1, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 4, 3, 4, 3, 3, 3, 2, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4], "540": [2, 4, 5, 1, 5, 1, 5, 1, 1, 4, 2, 1, 3, 1, 5, 4, 4, 3, 5, 5, 2, 5, 4, 5, 1, 4, 2, 3, 5, 5, 2, 1], "5599": [3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 2, 4, 2, 4, 3, 4, 4, 4, 4, 2, 4, 4, 2, 3, 3, 3, 1, 3, 5, 4, 3, 4, 2, 3, 1, 5, 5, 2, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 2, 5, 5, 2, 4, 3, 3, 3, 4, 3, 4, 5, 3, 3, 4, 2, 2, 4, 4, 5, 4, 4, 4, 5, 4, 2, 5, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 1, 5, 4, 4, 3, 5, 3, 5, 1, 4, 4, 2, 3, 1, 4, 1, 2, 3, 4, 5, 2, 2, 4, 4, 3, 5, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 1, 3, 5, 3, 2, 5, 2, 4, 3, 4], "770": [5, 5, 3, 3, 1, 5, 3, 1, 3, 2, 3, 3, 3, 1, 3, 3, 3, 5, 5, 4, 2, 2, 3, 3, 2, 1, 3, 5, 4, 5, 5, 5, 3, 3, 1, 5, 3, 3, 3, 2, 5, 2, 5, 4, 3, 4, 3, 4, 2, 1, 4, 2, 1, 3, 1, 4, 3, 5, 5, 4, 5, 3, 3, 5, 4, 3, 5, 1, 3, 1, 1, 3, 2, 3, 4, 2, 3, 1, 2, 3, 3, 4, 5, 2, 1, 3, 3, 4, 4, 3, 1, 1, 1, 1, 4, 1, 2, 5, 1, 5, 1, 3, 5, 1, 4, 3, 5, 5, 1, 4, 2, 5, 5, 5, 5, 5, 3, 4, 4, 4, 1, 3, 4, 3, 2, 3, 3, 3, 1, 3, 1, 3, 1, 3, 1, 5, 3, 3, 2, 2, 1, 1, 5, 1, 3, 1, 3, 3, 5, 4, 1, 3, 5, 3, 2, 3, 2, 1, 1, 5, 3, 1, 1, 4, 5, 2, 3, 5, 3, 1, 3, 3, 3, 3, 2, 1, 2, 2, 5, 1, 4, 5, 1, 1, 4, 3, 5, 4, 4, 3, 2, 2, 4, 2, 5, 2, 2, 1, 2, 1, 1, 1, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 3, 1, 3, 4, 1, 2, 2, 5, 4, 4, 3, 3, 3, 1, 5, 2, 2, 1, 5, 3, 2, 3, 5, 1, 3, 3, 5, 4, 4, 2, 5, 3, 3, 5, 3, 4, 1, 5, 1, 1, 5, 2, 4, 4, 4, 2, 3, 3, 3, 4, 5, 3, 4, 2, 2, 3, 4, 1, 5, 5, 3, 2, 4, 3, 4, 1, 3, 2, 1, 3, 2, 5, 5, 1, 1, 5, 3, 2, 3, 1, 5, 3, 3, 5, 5, 3, 2, 2, 2, 1, 1, 2, 2, 1, 1, 3, 2, 2, 2, 3, 3, 4, 1, 2, 3, 1, 2, 2, 2, 5, 3, 5, 3, 3, 3, 3, 3, 2, 1, 1, 1, 3, 3, 3, 2, 2, 2, 4, 5, 3, 2, 3, 5, 2, 1, 2, 1, 1, 1, 2, 4, 1, 2, 3, 3, 5, 4, 3, 3, 3, 3, 5, 3, 3, 2, 3, 2, 2, 1, 1, 3, 5, 2, 1, 3, 4, 5, 1, 1, 4, 4, 1, 1, 3, 2, 5, 4, 2, 5, 3, 3, 2, 2, 1, 1, 3, 5, 2, 3, 4, 1, 2, 5, 2, 4, 1, 5, 3, 2, 1, 3, 3, 1, 3, 5, 1, 5, 3, 5, 1, 3, 2, 3, 3, 3, 1, 5, 1, 5, 3, 1, 5, 3, 3, 4, 3, 5, 3, 2, 1, 3, 5, 4, 2, 1, 5, 5, 2, 5, 3, 4, 4, 1, 2, 3, 5, 1, 2, 1, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 4, 2, 5, 3, 1, 1, 3, 5, 4, 3, 3, 3, 1, 3, 5, 2, 3, 4, 3, 5, 5, 4, 3, 3, 3, 1, 5, 4, 1, 2, 4, 2, 1, 5, 1, 2, 3, 3, 3, 5, 5, 5, 5, 5, 1, 5, 5, 3, 4, 1, 3, 3, 2, 4, 4, 5, 3, 3, 5, 5, 1, 5, 5, 3, 5, 5, 5, 4, 3, 5, 3, 1, 3, 1, 1, 5, 3, 4, 4, 1, 1, 4, 1, 1, 4, 5, 3, 5, 3, 5, 2, 3, 5, 1, 1, 3, 5, 1, 3, 4, 4, 3, 3, 4, 3, 4, 3, 5, 1, 5, 5, 5, 1, 1, 2, 2, 4, 1, 1, 3, 4, 4, 1, 3, 2, 1, 2, 1, 3, 5, 5, 1, 4, 3, 2], "3010": [1, 4, 4, 3, 4, 4, 4, 2, 3, 3, 4, 2, 3, 4, 5, 4, 2, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 2, 4, 3, 2, 5, 3, 2, 5, 5, 2, 4, 3, 2, 4, 4, 4, 2, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 2, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 2, 3, 3, 3, 3, 3, 5, 3, 3, 3], "302": [5, 2, 3, 4, 3, 2, 2, 3, 1, 2, 3, 3, 3, 5, 2, 2, 3, 2, 4, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 1, 3, 5, 4, 5, 2, 2, 3, 4, 3, 3, 4, 5, 5, 5, 4, 3, 4, 2, 5, 5, 2, 4, 2, 4, 4, 2, 5, 1, 4, 1, 5, 4, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 3, 3, 2, 5, 3, 4, 1, 3, 4, 3, 4, 3, 1, 3, 2, 3, 4, 3, 5, 5, 3, 2, 4, 1, 3, 1, 5, 4, 2, 1, 4, 2, 3, 1, 1, 3, 3, 3, 4, 5, 1, 4, 4, 2, 3, 3, 3, 4, 2, 1, 2, 3, 3, 2, 2, 4, 5, 3, 3, 5, 1, 4, 2, 1, 3, 5, 5, 1, 2, 2, 3, 3, 2, 4, 5, 3, 4, 1, 2, 2, 3, 2, 4, 3, 4, 3, 1, 3, 3, 4, 3, 4, 4, 5, 3, 5, 2, 2, 2, 4, 2, 4, 4, 3, 2, 1, 2, 3, 2, 5, 2, 1, 3, 2, 3, 4, 2, 4, 2, 4, 1, 4, 3, 2, 1, 2, 1, 2, 1, 4, 1, 3, 4, 2, 1, 3, 1, 2, 4, 3, 2, 1, 2, 4, 3, 4, 2, 2, 3, 2, 4, 5, 5, 2, 2, 2, 3, 1, 4, 5, 4, 1, 3, 1, 1, 1, 2, 3, 4, 2, 4, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 1, 1, 1, 2, 2, 3, 1, 2, 4, 2, 3, 2, 2, 1, 3, 4, 3, 1, 3, 4, 2, 3, 3, 2, 4, 4, 4, 1, 4, 3, 3, 4, 2, 2, 3, 3, 4, 3, 4, 5, 2, 2, 3, 1, 2, 4, 4, 2, 2, 2, 2, 5, 3, 4, 3, 5, 1, 4, 5, 4, 2, 3, 2, 1, 3, 4, 1, 1, 3, 2, 3, 2, 2, 5, 1, 4, 1, 1, 1, 1, 1, 3, 3, 4, 4, 3, 2, 1, 2, 3, 4, 5, 5, 4, 3, 2, 4, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 5, 1, 3, 3, 1, 4, 4, 5, 4, 1, 4, 1, 2, 2, 3, 3, 1, 2, 3, 4, 4, 4, 3, 3, 2, 2, 3, 3, 2, 1, 4, 4, 2, 1, 2, 1, 3, 3, 1, 3, 3, 4, 2, 1, 3, 4, 2, 2, 3, 3, 2, 3, 3, 3, 4, 4, 2, 2, 3, 1, 3, 3, 4, 4, 3, 4, 3, 3, 3, 2, 2, 5, 3, 2, 2, 5, 2, 3, 2, 4, 2, 2, 2, 3, 3, 4, 5, 1, 2, 3, 5, 4, 3, 2, 2, 3, 1, 3, 3, 1, 3, 4, 3, 2, 1, 1, 2, 5, 1, 4, 2, 4, 2, 4, 3, 4, 4, 3, 3, 2, 3, 1, 4, 2, 2, 2, 2, 2, 3, 4, 2, 3, 2, 4, 2, 5, 4, 2, 3, 2, 4, 4, 4, 1, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 4, 5, 5, 5, 4, 3, 1, 4, 1, 4, 3, 1, 1, 4, 2, 5, 3, 5, 2, 5, 5, 5, 4, 1, 5, 2, 3, 4, 5, 4, 1, 3, 2, 2, 2, 4, 2, 3, 4, 3, 5, 2, 4, 3, 3, 4, 3, 4, 5, 3, 2, 4, 3, 2, 1, 2, 4, 1, 3, 2, 3, 1, 3, 3, 1, 1, 4, 2, 5, 4, 3, 1, 2, 3, 2, 5, 5, 1, 3, 2, 1, 4], "738": [5, 3, 2, 4, 1, 1, 1], "1345": [4, 3, 1, 5, 4, 5, 3, 5, 3, 5, 4, 4, 1, 5, 4, 1, 3, 3, 3, 4, 5, 1, 5, 3, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 1, 5, 4, 3, 5, 4, 5, 5, 5, 4, 5, 1, 5, 3, 1, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 2, 3, 1, 5, 5, 5, 4, 4, 5, 3, 5, 5, 1, 4, 5, 5, 5, 5, 4, 5, 1, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 2, 4, 3, 3, 2, 1, 4, 4, 4, 3, 4, 5, 2, 5, 1, 5, 1, 5, 4], "728": [4, 3, 3, 4, 5, 2, 3, 4, 4, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 3, 4, 1, 2, 4, 3, 4, 4, 4, 3, 3, 2, 4, 3, 4, 5, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 2, 4, 4, 2, 2, 4, 2, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 4, 2, 4, 4, 1, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 5, 3, 3, 5, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 3, 3, 2, 2, 4, 2, 3, 4, 4, 3, 2, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 5], "143": [5, 3, 4, 4, 3, 3, 5, 5, 4, 3, 5, 5, 4, 5, 4, 3, 5, 2, 3, 3, 5, 5, 4, 3, 2, 4, 1, 2, 4, 4, 3, 3], "4208": [5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 2, 5, 5, 4, 3, 4, 4, 4, 4, 2, 5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 5, 3, 1, 4, 3, 3], "2646": [4, 4, 3, 4, 3, 5, 4, 5, 5, 2, 5, 4, 3, 5, 4, 5, 5, 4, 3], "2849": [5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5], "5217": [4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 3, 3, 5, 3, 4, 5, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 3, 5, 3, 2, 4, 3, 2, 4, 4, 3, 4, 3, 1, 4, 4, 4, 5, 3, 5, 4, 4, 4], "191": [3, 4, 4, 3, 4, 4, 3, 4, 1, 3, 4, 4, 1, 4, 3, 5, 2, 3, 2, 2], "1791": [5, 5, 3, 3, 5, 3, 4, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 2, 5, 2, 4, 4, 3, 3, 5, 4, 5, 5, 4, 3, 3, 3, 3, 5, 4, 3, 2, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 3, 1, 1, 1, 1, 3, 3, 4, 5, 3, 2, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 5, 2, 5, 4, 5, 5, 5, 3, 3, 3, 4, 4, 3, 4, 1, 3, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 5, 5], "5768": [4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5], "829": [3, 5, 5, 5, 3, 3, 5, 5, 2, 3, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 3, 4, 5, 5, 2, 3, 4, 4, 5, 4, 1, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5], "5736": [5, 5, 4, 2, 5, 4, 3, 5, 4, 4, 5, 3, 2, 3, 4, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 2, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5], "515": [5, 4, 3, 3, 4, 5, 5, 3, 3, 3, 5, 5, 3, 3, 3, 5, 3, 4, 2, 5, 5, 5, 4, 5, 2, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 3, 3, 2, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 3, 3, 3, 3, 5, 5, 4, 4, 3, 5, 4, 2, 3, 4, 4, 3, 4, 3, 5, 3, 2, 3, 2, 5, 3, 3, 3, 4, 2, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5], "3109": [4, 3, 3, 3, 3, 4, 3, 3, 2, 5, 5, 5, 2, 4, 4, 5, 3, 5, 3, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4], "2668": [4, 3, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 5, 4, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 2, 3, 3, 3, 5, 3, 5, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 3, 1, 5, 3, 3, 4, 4, 3, 4, 3, 3, 2, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 2, 3, 4, 4, 3, 1, 2, 4, 4, 4, 4, 2, 2, 2, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 5, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4], "2680": [3, 3, 3, 1, 5, 5, 2, 4, 4, 2, 3, 4, 5, 3, 3, 3, 4, 5, 4, 4, 4, 3, 5, 2, 3, 4, 5, 3, 4, 4, 4, 2, 4, 4, 4, 2, 5, 3, 3, 4, 4, 5, 2, 5, 4, 5, 3, 4, 5, 4, 5, 5, 3, 4, 3, 5, 3, 5, 4, 4, 4, 2, 3, 2, 3, 2, 3, 3, 1, 5, 1, 4, 4, 2, 4, 3, 4, 3, 3, 3, 4, 4, 1, 3, 3, 5, 3, 2, 3, 4, 3, 1, 3, 3, 4, 2, 4, 5, 3, 5, 2, 3, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 5, 5, 5, 3, 4, 3, 4, 2, 2, 2, 3, 3, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 1, 3, 4, 4, 5, 4, 5, 3, 1, 2, 3], "5105": [1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 3, 1, 1, 2, 1, 1, 3, 2, 4, 4, 1, 1, 1, 4, 4, 3, 4, 3, 3, 5, 4, 4, 3, 4, 2, 4, 4], "1822": [4, 3, 4, 5, 3, 3, 1, 2, 5, 5, 4, 3, 3, 5, 4, 3, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 1, 2, 3, 5, 3, 1, 4, 4, 4, 1, 3, 2, 4, 5, 4, 5, 4, 4, 4, 2, 5, 4, 5, 4, 5], "107": [3, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 3, 5, 3, 3, 5, 4, 3, 5, 3, 4, 4, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4], "3127": [5, 5, 4, 4, 2, 5, 5, 4, 3, 4, 4, 2, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5], "4544": [4, 3, 5, 5, 4, 3, 4, 2, 4, 5, 4, 2, 4, 4, 5, 2, 3, 4, 4, 5, 3, 2, 5, 4, 3, 5, 4, 3, 5, 2, 5, 5, 5, 5, 4, 4, 4, 3, 4, 3, 3, 5, 5], "2534": [1, 5, 2, 5, 4, 1, 2, 5, 5, 3, 5, 4, 5, 3, 5, 1, 5, 3, 5, 4, 3, 4, 3, 5, 4, 1, 2, 4, 3, 4, 4, 5, 1], "5392": [5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 5], "2627": [4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 1, 4, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 1, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 4, 1, 4, 4, 3, 4, 3, 5, 3, 3, 3, 5, 3, 3, 3, 4, 2, 5, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 2, 3, 2, 1, 3, 2, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 5, 2, 1, 4, 2, 3, 4, 3, 5, 4, 2, 3, 3, 3, 4, 2, 2, 3, 4, 4, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 2, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 3, 4, 2, 3, 3, 2, 2, 4, 4, 2, 4, 3, 4, 5, 4, 2, 1, 3, 4, 2, 2, 1, 3, 3, 4, 3, 5, 3, 2, 4, 3, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 3, 2, 2, 3, 1, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 1, 4, 1, 5, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 5, 3, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 1, 5, 1, 3, 4, 5, 3, 5, 4, 3, 3, 3, 1, 3, 2, 2, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 4, 2, 4, 3, 4, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 2, 3, 3, 2, 4, 1, 3, 4, 2, 5, 4, 3, 4, 2, 5, 3, 3, 4, 2, 2, 3, 3, 2, 4, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 4, 3, 1, 3, 3, 3, 3, 3, 5, 2, 2, 3, 2, 2, 4, 4, 5, 3, 4, 4, 2, 2, 3, 3, 4, 3, 4, 1, 2, 2, 5, 3, 4, 2, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 5, 3, 3, 4, 2, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 2, 4], "4995": [4, 3, 3, 2, 4, 3, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 3, 2, 4, 3, 5, 3, 3, 5, 3, 5, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 5, 2, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 5, 3, 3, 4, 3, 4, 5, 3, 3, 2, 3, 4, 4, 3, 2, 3, 3, 4, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 4, 4, 3, 2, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3], "588": [4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 4, 5, 4, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 2, 2, 4, 4, 4, 4, 4, 3, 5, 5, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 2, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4, 3, 3, 3, 1, 5, 3, 5, 4, 1, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 2, 4, 5, 3, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 3, 4, 3, 5, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 3, 2, 4, 1, 4, 4, 5, 3, 5, 4, 4, 3, 4, 1, 4, 3, 4, 4, 4, 5, 4, 4, 4, 2, 4, 3, 5, 2, 4, 5, 4, 5, 4, 4, 3, 5, 4, 1, 3, 4, 4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5], "2089": [5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4], "466": [4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 5], "211": [5, 3, 4, 2, 5, 5, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 5, 3, 4, 4, 5, 5, 4, 5, 5], "4674": [4, 2, 5, 5, 4, 5, 3, 3, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 1, 3, 5, 5, 5, 5, 4, 5, 4, 1, 3, 3, 1, 4, 5, 4, 5, 3, 3, 5, 3, 5, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4], "4359": [3, 4, 5, 5, 3, 4, 4, 3, 2, 4, 4, 2, 5, 4, 4, 2, 4, 1, 5, 5, 5, 2, 5, 4, 2, 3, 5, 5, 4, 3, 5, 3, 3, 3, 4, 5, 3, 5, 2, 3, 1, 3, 5, 4, 4, 2, 5], "102": [5, 5, 2, 2, 4, 2, 3, 5, 1, 5, 5, 3, 4, 1, 5, 5, 1, 5, 5, 4, 4, 5, 4, 1, 2, 5, 5, 5, 4, 4, 5, 1, 4, 5, 2, 4, 5, 2, 5, 5, 4, 2, 5, 4, 4, 2, 2, 5, 4, 1, 5, 3, 4, 4, 5, 2, 4, 1, 5, 5, 2, 2, 4, 2, 5, 5, 3, 3, 1, 4, 5], "5271": [2, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 3, 5, 4, 3, 2, 3, 5, 5, 4, 4, 5, 3, 4, 3, 1, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 2, 2, 3, 4, 5, 4, 2, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 3, 4, 5, 3, 2, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 2, 4, 3, 2, 1, 4, 2, 5, 2, 3, 2, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 2, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 2, 5, 5, 3, 5, 3, 4, 5, 3, 4, 5, 5, 4, 4, 5, 5, 4, 3, 2, 5, 4, 4, 4, 5, 3, 3, 5, 3, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 2, 4, 4, 3, 1, 5, 5, 4, 2, 3, 4, 3, 4, 2, 5, 3, 5, 4, 4, 4, 1, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 2, 4, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 3, 3, 4, 5, 4, 4, 3, 3, 5, 4, 2, 5, 4, 5, 4], "860": [3, 5, 5, 4, 1, 4, 4, 4, 3, 1, 3, 5, 2, 4, 3, 4, 5, 3, 3, 4, 2, 3, 5, 3, 4, 2, 4, 3, 5, 5, 3], "5023": [2, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 4, 3, 1, 1, 5, 5, 5, 3, 5, 4, 1, 3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 3, 1, 3, 1, 1, 2, 5, 4, 2, 4, 3, 1, 1, 1, 3, 3, 5, 3, 3, 1, 5, 5, 3, 3, 1, 5, 3, 3, 1, 1, 4, 3, 1, 4, 4, 2], "180": [3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4], "5393": [3, 4, 5, 5, 4, 3, 3, 4, 2, 1, 2, 3, 4, 4, 2, 5, 2, 3, 4, 3, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 2, 3, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 3, 2, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 5, 2, 4, 2, 3, 3, 2, 2, 4, 2, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 5, 5, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 2, 3, 2, 4, 3, 4, 2, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 2, 3, 4, 3, 2, 4, 4, 2, 2, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 5, 5, 3, 5, 5, 4, 4, 3, 3, 2, 4, 1, 3, 4, 3, 2, 2, 3, 2, 4, 3, 3, 4, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 3, 3, 4], "1153": [2, 5, 2, 1, 4, 5, 4, 2], "1979": [4, 4, 4, 2, 2, 3, 2], "1834": [5, 5, 4, 4, 3, 2, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 2, 5], "951": [5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 4, 2, 5, 5], "2389": [4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 1, 5, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 5, 3, 5, 3, 5, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3], "176": [2, 3, 5, 3, 5, 3, 3, 5, 1, 4, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 3, 5, 3, 2, 3, 5, 4, 5, 4, 2, 3, 5, 5, 3, 4, 3, 3, 4, 1, 4, 3, 3, 1, 4, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 2, 4, 5, 3, 4, 5, 4, 5, 4, 4, 1], "5087": [3, 5, 5, 5, 4, 4, 3, 5, 4, 1, 5, 3, 4, 3, 2, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 5, 4, 5, 4, 1, 4, 3, 2, 2, 4, 3, 4, 2, 4, 4, 2, 2, 2, 4, 5, 4, 5, 3, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 2, 5, 3, 4, 2, 3, 2, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 5, 2, 5, 4, 5, 5, 4, 3, 2, 3, 4, 2, 4, 5, 2, 3, 4, 4, 3, 2, 4, 2, 4, 5, 3, 2, 4, 4, 1, 4, 3, 4, 5, 1, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 2, 2, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 2, 2, 4, 5, 3, 3, 3, 3, 3, 4, 4, 5, 2, 4, 5, 1, 4, 5, 5], "5520": [4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 3, 4, 2, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4], "4006": [5, 3, 3, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 2, 1, 2, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 3, 5, 3, 4, 3, 5, 3, 2, 3, 3, 3, 3, 4, 2, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 5, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 5, 2, 4, 3, 2, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 2, 2, 1, 4, 3, 4, 1, 4, 3, 4, 4, 3, 4, 3, 3, 1, 3, 4, 4, 2, 3, 4, 4, 3, 3, 3, 1, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 5, 3, 4, 2, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 3, 5, 4, 3, 4, 3, 3, 5, 4, 3, 2, 5, 4, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 5, 3, 4, 4], "2749": [4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 3, 5, 3, 5, 4, 2, 2, 4, 5, 5, 4, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 2, 2, 2, 5, 1, 2, 5, 5, 4, 3, 3, 4, 5, 4, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 4, 5], "5929": [5, 3, 5, 4, 4, 3, 5, 5, 3, 3, 3, 2, 1, 3, 5, 3, 5, 3, 2, 3, 2, 3, 5, 3, 3, 3, 4, 5, 4, 5, 2, 3, 1, 3, 4, 2, 5, 3, 5, 4, 1, 5, 4, 5, 5, 4, 3, 3, 5, 2, 3, 5, 5, 1, 4, 2, 5, 3, 5, 4, 3, 4, 5, 5, 5, 3, 4, 3, 3, 5, 5, 4, 2, 5, 4, 2, 2, 4, 3, 4, 3, 1, 2, 4, 4, 5, 2, 2, 4, 3, 5, 3, 3, 4, 2], "5114": [3, 5, 4, 5, 5, 5, 4, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 2, 3, 1, 5, 5, 5, 1, 5, 5, 3, 4, 4, 5, 5, 1, 3, 5, 2, 5, 1, 4, 5, 1, 1, 4, 5, 2, 3, 4, 5, 5, 4, 5, 2, 5, 4, 3, 3, 4, 1, 1, 5, 1, 3, 2, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 1, 5, 3, 4, 5, 5, 1, 5, 4, 3, 1, 4, 3, 5, 4, 3, 3, 3, 5, 5, 4, 5, 5, 4, 3, 4, 5, 3, 2, 3, 3, 3, 2, 4, 1, 4, 2, 3, 4, 5, 5, 3, 4, 5, 2, 3, 5, 4, 5, 3, 4, 5, 5, 4], "5945": [2, 4, 5, 4, 4, 2, 5, 3, 4, 2, 5, 5, 5, 4, 5, 1, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 4], "1490": [4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 3, 5, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 5, 4, 5, 5, 3, 3, 4, 5, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 3], "1752": [2, 4, 5, 4, 3, 5, 4, 5, 5, 4, 5, 2, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 4, 3, 4, 2, 4, 3, 3, 2, 5, 2, 5, 5, 3, 4, 3, 2, 2, 4, 4, 4, 2, 3, 4, 5, 5, 5, 3, 3, 3, 5, 4, 5, 3, 5, 4, 2, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 5, 3, 2, 2, 3, 4, 2, 4, 5, 4, 3, 4, 2, 4, 5, 3, 2, 4, 3, 3, 4, 2, 3, 5, 5, 3, 3, 5, 4, 5, 1, 4, 5, 3, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 1, 3, 2, 3, 5, 4, 3, 2, 5, 4, 5, 4, 3, 3, 5, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 4, 2, 4, 2, 5, 5, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 1, 3, 4, 5, 3, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 3, 5, 2, 4, 5, 3, 4, 4, 2, 4, 2, 5, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 4, 2, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 3, 3, 4, 2, 4, 2, 4, 4, 5, 4, 3, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 2, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 2, 3, 3, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 1, 5, 5, 4, 5, 5, 5, 5, 3, 5], "3748": [5, 5, 4, 1, 2, 3, 5, 5, 1, 5, 4, 5, 3, 3, 4, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 2, 4], "3389": [4, 5, 3, 3, 2, 3, 3, 4, 4, 4, 1, 4, 3, 3, 1, 4, 3, 4, 2, 5, 4, 1, 5, 4, 3, 2, 3, 5, 3, 4, 5, 4, 2, 3, 3, 3, 3, 5, 2, 2, 3, 3, 4, 3, 4, 1, 4, 2, 4, 4, 2, 2, 4, 4, 2, 3, 4, 3, 2, 2, 4, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 4, 3, 3, 2, 3, 1, 1, 3, 1, 4, 3, 3, 2, 3, 4, 2, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 4, 3, 2, 3, 3, 2, 1, 3, 1, 3, 3, 3, 1, 3, 4, 2, 2, 2, 1, 2, 3, 3, 1, 1, 3, 3, 2, 5, 3, 3, 2, 2, 2, 4, 1, 4, 1, 5, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 3, 2, 2, 2, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 5, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 4, 3, 3, 5, 3, 4, 3, 1, 4, 4, 3, 2, 3, 2, 3, 4, 2, 3, 4, 1, 1, 3, 4, 4, 2, 5, 3, 4, 5, 3, 3, 3, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 1, 1, 3, 4, 3, 3, 2, 2, 3, 1, 3, 3, 3, 3, 3, 4, 3, 1, 3, 3, 3, 3, 1, 1, 5, 3, 3, 4, 5, 3, 4, 3, 3, 4, 3, 2, 2, 2, 3, 2, 1, 4, 2, 1, 3, 3, 2, 4, 4, 2, 2, 4, 2, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 4, 3, 4, 3, 3, 1, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 2, 2, 1, 2, 2, 1, 1, 4, 1, 4, 3, 2, 3, 3, 5, 1, 3, 2, 1, 3, 4, 3, 2, 3, 3, 3, 4, 4, 2, 2, 3, 3, 1, 3, 3, 1, 3, 2, 4, 4, 3, 2, 3, 3, 5, 3, 5, 4, 3, 3, 2, 3, 4, 3, 4, 3, 2, 2, 2, 4, 2, 2, 2, 3, 4, 2, 2, 3, 1, 3, 3, 4, 2, 3, 2, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 5, 1, 2, 1, 4, 3, 3, 2, 4, 3, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 2, 5, 1, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 2, 2, 3, 1, 1, 4, 2, 5, 5, 2, 4, 1, 5, 4, 3, 3, 1, 2, 4, 4, 2, 3, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 2, 3, 1], "2116": [4, 4, 4, 3, 5, 3, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 3, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 2, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 5, 4, 2, 4, 3, 3, 5, 4, 4, 4, 4, 5, 3, 2, 5, 4, 5, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 2, 3, 4, 5, 4, 4, 2, 4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 2, 4, 5, 3, 4, 4, 4, 4, 4, 5, 2, 4, 2, 4, 3, 4, 5, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 2, 5, 4, 4, 4, 1, 4, 4, 2, 4, 2, 1, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 5, 2, 4, 4, 3, 4, 4, 2, 2, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 2, 5, 3, 4, 4, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 5, 3, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 2, 5, 2, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 1, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 5, 4, 5, 3, 5, 5, 3, 4, 3, 5, 4, 3, 3, 4, 3, 2, 3, 2, 2, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 1, 4, 2, 3, 3, 3, 3, 4, 4, 5, 1, 2, 4, 2, 4, 3, 4, 5, 2, 3, 4, 5, 3, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 2, 3, 3, 5, 5, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5, 3, 5, 3, 4, 2, 3, 4, 4, 5, 3, 5, 4, 2, 4, 5, 3, 4, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 5, 3, 3, 3, 4, 4, 2, 2, 4, 4, 3, 1, 4, 4, 5, 3, 3, 3, 2, 3, 3, 5, 3, 3, 3, 4, 3, 2, 4, 5, 4, 5, 3, 3, 3, 3, 4, 3, 1, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 4, 2, 4, 5, 4, 3, 3, 3, 4, 5, 1, 5, 3, 3, 3, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 4, 3], "2879": [2, 4, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 4, 5, 4, 3, 5, 4, 4], "4504": [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 1, 1, 1, 5, 3], "2361": [3, 5, 2, 4, 5, 3, 3, 4, 3, 2, 3, 3, 3, 5, 2, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 5, 3, 5, 3, 5, 3, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 3], "3112": [1, 5, 2, 3, 3, 3, 3, 2, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 4, 1, 4, 4, 1, 4, 4, 4, 2, 3, 4, 4, 4, 3, 5, 3, 5, 4, 4, 3, 1, 2, 4, 5, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 5, 5, 5, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 2, 5, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 2, 3, 4, 2, 5, 5, 5, 4, 1, 1, 5, 3, 3, 4, 4, 2, 3, 5, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 1, 4, 4, 3, 3, 4, 2, 3, 3, 3, 4, 2, 2, 3, 4, 2, 4, 4, 3, 2, 4, 3, 4, 3, 4, 5], "2144": [4, 5, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 1, 5, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 4, 1, 4, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 1, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 1, 5, 4, 3, 3, 4, 3, 2, 4, 1, 2, 3, 2], "5469": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4], "5078": [2, 5, 4, 4, 5, 5, 4, 4, 2, 5, 2, 2, 3, 5, 3, 4, 3, 5, 3, 1, 3, 2, 5, 5, 1, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 1, 4, 4, 3, 4, 3, 4, 5, 5, 3, 5, 5, 5, 5], "487": [3, 4, 1, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 4, 2, 5, 5, 2, 4, 4], "264": [3, 3, 3, 3, 1, 1, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 1, 1, 4, 3, 4, 4, 5, 3, 3, 4, 4, 1, 4, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 5, 3, 3, 1, 3, 3, 3, 2, 3, 2, 2, 4, 2, 1, 3, 2, 4, 2, 4, 4, 1, 4, 3, 3, 2, 1, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 1, 2, 1, 4, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 1, 4, 5, 3, 3, 3, 1, 4, 2, 2, 1, 3, 4, 4, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 4, 3, 2, 3, 1, 3, 4, 3, 2, 4, 2, 4, 2, 2, 5, 2, 4, 3, 3, 2, 2, 4, 1, 3, 4, 5, 5, 3, 3, 2, 3, 3, 1, 3, 4, 1, 4, 3, 4, 2, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 2, 2, 3, 4, 3, 3, 2, 1, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 4, 1, 3, 3, 1, 3, 4, 2, 1, 3, 3, 1, 1, 3, 1, 4, 3, 4, 4, 1, 3, 1, 2, 2, 4, 3, 3, 3, 3, 2, 4, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 3, 4, 2, 4, 3, 3, 1, 1, 3, 3, 3, 2, 3, 3, 1, 3, 2, 2, 3, 3, 4, 3, 1, 3, 3, 4, 3, 2, 4, 3, 3, 4, 3, 2, 4, 3, 1, 3, 3, 3, 2, 2, 3, 2, 3, 4, 3, 2, 4, 3, 3, 3, 2, 3, 3, 1, 5, 3, 3, 4, 2, 4, 3, 2, 2, 3, 5, 3, 2, 3, 3, 5, 2, 3, 3, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 4, 2, 2, 3, 1, 3, 4, 3, 1, 3, 4, 3, 4, 2, 2, 1, 4, 2, 3, 3, 1, 5, 2, 2, 3, 3, 4, 3, 4, 3, 3, 5, 3, 1, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 2, 4, 1, 5, 3, 3, 4, 3, 4, 2, 2, 2, 4, 4, 4, 2, 3, 3, 3, 4, 3, 1, 1, 2, 3, 1, 3, 4, 2, 3, 2, 4, 3, 4, 2, 4, 4, 4, 2, 2, 2, 4, 3, 1, 3, 2, 2, 2, 2, 4, 5, 3, 5, 4, 3, 3, 4, 1], "3919": [5, 5, 5, 3, 4, 3, 5, 4, 4, 5, 3, 5, 4, 1, 4, 4, 4, 5, 4, 5, 4, 2, 3, 5, 5, 4, 5, 3, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 2], "1205": [4, 5, 4, 5, 5, 3, 3, 5, 3, 3, 5, 4, 5, 5, 4, 4, 3, 3, 5, 3, 5, 4, 3, 3, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 5, 3, 2, 5, 5, 4, 3, 3, 3, 4, 5, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 3, 5, 5, 3], "3144": [4, 4, 3, 5, 2, 5, 3, 4, 3, 4, 2, 2, 4, 1, 4, 5], "266": [5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5], "99": [5, 5, 3, 5, 3, 2, 3, 4, 5, 1, 4, 5, 3, 4, 4, 4, 5, 3, 5, 4, 1, 5, 5, 3, 4, 3, 4, 4, 2, 5, 4, 5, 3, 3, 4, 5, 4, 5, 5, 1, 4, 4, 4, 1, 4, 5, 4, 3, 3, 5, 1, 3, 2, 5], "2268": [4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4], "1217": [5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 1, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4], "1845": [5, 4, 1, 2, 3, 2, 1, 4, 2, 3, 4, 4, 2, 2, 5, 5, 3, 4, 3, 3, 5, 2, 3, 2, 3, 4, 2, 2, 4, 3, 5, 3, 3, 2, 4, 2, 2, 4, 2, 3, 2, 3, 5, 4, 3, 4, 3, 3, 3, 2, 5, 3, 3, 3, 4, 2, 4, 2, 1, 3, 2, 4, 2, 3, 5, 2, 2, 3, 4, 4, 3, 5, 2, 3, 2, 5, 5, 2, 3, 3, 4, 2, 5, 4, 3, 4, 4, 5, 4, 5, 3, 3, 5, 4, 2, 4, 4, 2, 2, 5, 2, 2, 2, 3, 3, 4, 2, 5, 3, 3, 3, 2, 5, 3, 3, 3, 5, 4, 2, 4, 5, 3, 2, 3, 2, 4, 2, 5, 5, 2, 5, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 1, 3, 3, 2, 2, 2, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 5, 2, 3, 4, 3, 2, 3, 4, 4, 4, 5, 5, 4, 2, 3, 4, 3, 3, 4, 5, 4, 3, 4, 3, 1, 4, 2], "3179": [3, 4, 5, 3, 3, 3, 2, 2], "4457": [5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 2, 2, 5, 5, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 3, 4, 2, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 2, 4, 3, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 3, 2, 5, 3, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 5, 3, 3, 5, 4, 4, 5], "1835": [5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 1, 4, 5, 5, 4, 2, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 3, 4, 3, 5, 4, 2, 3, 5, 5, 1, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 2, 5, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 5, 5, 3, 1, 4, 3, 4, 4, 3, 4, 3, 3, 4, 2, 5, 5, 4, 5, 3, 5, 5, 4, 4, 3, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 4, 4, 4, 4, 5, 5, 5, 4, 5, 2, 4, 3, 5, 5, 1, 4, 5, 3, 5, 5, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 2, 2, 2, 5, 4, 5, 5, 5, 4, 4, 2, 5, 5, 2, 1, 4, 5, 5, 4, 4, 5, 2, 3, 5, 2, 5, 5, 4, 4, 4, 4, 5, 2, 4, 5, 2, 2, 1, 2, 5, 5, 5, 5, 3, 3, 3, 4, 5, 5, 5, 5, 3, 5, 5, 2, 5, 1, 2, 3, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 1, 2, 4, 4, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 3, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 1, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 2, 5, 4, 2, 5, 5, 5, 2, 5, 5, 5, 5, 3, 5, 3, 4, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4, 5, 2, 2, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 2, 3, 3, 5, 1, 1, 4, 5, 3, 5, 4, 5, 5, 3, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 2, 4, 4, 2, 1, 1, 5, 5, 5, 1, 5, 5, 3, 2, 5, 5, 1, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 2, 3, 5, 2, 4, 5, 3, 5, 5, 3, 2, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 2, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 2, 5, 3, 4, 4, 5, 3, 4, 2, 4, 4, 5, 4, 5, 2, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 2, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 2, 5, 3, 5, 5, 4, 4, 2, 5, 5, 1, 5, 5, 4, 3, 3, 3, 5, 2, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 3, 3, 5, 2, 4, 3, 1, 5, 3, 2, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 4, 5, 2, 1, 4, 5, 5, 2, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 2, 3, 2, 5, 4, 5, 5, 5, 2, 2, 2, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4], "5357": [4, 4, 4, 5, 3, 4, 3, 5, 4, 4, 3, 4, 5, 5, 3, 5, 5, 3], "2585": [5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 1, 4, 4, 3, 5], "3259": [4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 3, 5, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 2, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 2, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 1, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 1, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 3, 3, 3, 2, 5, 1, 3, 4, 4, 4, 4, 2, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 2, 3, 4, 5, 4, 4, 4, 2, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 2, 2, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 3], "2249": [4, 5, 5, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 2, 5, 5, 1, 4, 4, 4, 5, 3, 4], "4363": [5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 2, 3, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 1, 5, 3, 5, 3, 3, 2, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 4, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 5, 2, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3], "3547": [4, 3, 4, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 5, 3, 2, 3, 1, 4, 2, 3, 5, 4, 2, 3, 3, 5, 4, 3, 5, 4, 3, 3, 2, 4, 4, 4, 2, 4, 3, 4, 5, 5, 5, 3, 4, 1, 5, 5, 5, 3, 3, 3, 2, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 1, 3, 2, 2, 3, 2, 3, 3, 4, 4, 2, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 2, 2, 2, 3, 3, 4, 4, 2, 4, 5, 3, 3, 4, 4, 3, 3, 2, 4, 3, 3, 4, 3, 2, 4, 2, 3, 3, 4, 2, 4, 3, 1, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 2, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 1, 4, 4, 5, 1, 3, 3, 1, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 1, 3, 4, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 3, 2, 3, 4, 5, 2, 5, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 5, 2, 4, 3, 4, 5, 1, 3, 4, 3, 3, 2, 4, 4, 1, 1, 3, 4, 4, 3, 2, 3, 5, 3, 5, 3, 3, 5, 4, 5, 4, 4, 5, 2, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 2, 5, 5, 3, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 3, 3], "5074": [4, 5, 5, 4, 2, 4, 2, 5, 1, 5, 3, 5, 3, 4, 4, 4, 5, 1, 4, 3, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 1, 2, 4, 4, 2, 1, 1, 4, 2, 3, 3, 1, 4, 3, 3, 2, 3, 4, 5, 4, 3, 5, 5, 3, 4, 4, 3, 2, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 3, 5, 5, 1, 4, 4, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 4, 5, 4, 5, 1, 3, 4, 3, 2, 2, 3, 2, 4, 4, 3, 5, 2, 3, 4, 5, 3, 2, 3, 1, 3, 3, 3, 3, 2, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 1, 5, 2, 1, 3, 2, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 3, 5, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 2, 1, 3, 4, 3, 2, 5, 2, 1, 3, 5, 1, 4, 4, 4, 4, 3, 1, 2, 5, 3, 5, 3, 5, 3, 4, 3, 3, 1, 3, 3, 3, 3, 2, 5, 5, 5, 4, 4, 4, 4, 5, 3, 1, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 2, 3, 4, 3, 5, 3, 3, 5, 2, 5, 5, 3, 5, 5, 3, 5, 5, 2, 3, 3, 3, 4, 4, 4, 2, 3, 1, 4, 4, 2, 2, 4, 3, 2, 1, 4, 4, 4, 4, 3, 4, 3, 2, 4, 3, 1, 2, 4, 3, 3, 5, 3, 5, 4, 3, 5, 3, 3, 2, 2, 2, 3, 2, 3, 5, 3, 5, 4, 4, 3, 5, 3, 3, 5, 3, 4, 4, 4, 2, 3, 2, 4, 4, 5, 2, 2, 5, 3, 4, 5, 5, 5, 3, 3, 3, 4, 4, 3, 1, 5, 4, 4, 4, 5, 4, 4, 2, 5, 4, 2, 2, 3, 2, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 2, 2, 4, 3, 3, 3, 4, 5, 3, 5, 2, 5, 3, 3, 4, 5, 5, 5, 4, 2, 1, 4, 4, 3, 3, 5, 4, 4, 3, 3, 3, 5, 2, 2, 4, 2, 3, 4, 5, 1, 1, 5, 1, 4, 5, 1, 2, 5, 2, 4, 5, 4, 4, 2, 3, 2, 4, 3, 1, 4, 3, 1, 2, 5, 3, 3, 4, 2, 5, 1, 4, 2, 5, 2, 3, 2, 1, 4, 5, 2, 2, 2, 2, 4, 2, 4, 4, 5, 5, 2, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 2, 2, 4, 4, 2, 4, 2, 4, 4, 1, 5, 2, 2, 5, 3, 2, 2, 5, 2, 1, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 1, 2, 4, 5, 2, 5, 1, 4, 4, 5, 3, 4, 4, 3, 5, 4, 1, 5, 3, 5, 3, 1, 4, 4, 4, 4, 3, 4, 4, 2, 1, 5, 5, 2, 5, 3, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 1, 1, 3, 2, 4, 5, 2, 4, 2, 5, 1, 4, 5, 2, 4, 5, 3, 2, 1, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 2, 5, 5, 3, 4, 3, 1, 3, 2, 5, 3, 5, 2, 3, 2, 3, 5, 1, 1, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 2], "2703": [3, 5, 4, 5, 2, 4, 2, 5, 5, 5, 5, 2, 4, 5, 3, 4, 5, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 2, 3, 5, 4, 3, 4, 5, 4, 4, 2, 4, 3, 2, 3, 4, 3, 3, 3, 3, 5, 3, 5, 2, 5, 3, 3, 3, 3, 3, 5, 3, 5, 5, 3, 2, 3, 3, 5, 4, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 5, 3, 2, 5, 4], "109": [4, 5, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 1, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3], "2281": [5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 2, 3, 5, 5, 5, 1, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3], "2319": [4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3], "5412": [4, 5, 5, 4, 4, 2, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5, 1, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 1, 5, 4, 5, 4, 3, 4, 4, 4, 1, 3, 3, 5, 2, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 5, 2, 5, 5, 4, 3, 4, 3, 4, 4, 2, 4, 3, 2, 4, 4, 1, 5, 4, 4, 4, 5, 4, 1, 1, 1, 4, 1, 3, 1, 4, 5, 5, 5, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 5, 3, 5, 5, 4, 3, 5, 4, 3, 1, 3, 4, 2, 5, 3, 5, 1, 4, 3, 3, 5, 1, 1, 2, 5, 5, 3, 2, 2, 4, 1, 2, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 2, 4, 4, 5, 5, 4, 3, 3, 1, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 3, 2, 5, 5, 3, 5, 3, 3], "4273": [5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5], "4483": [3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 3, 3, 3, 3, 3, 5, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 5, 2, 3, 3, 4, 3, 3, 1, 4, 3, 2, 5, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 5, 3, 2, 3, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 3, 2, 4, 1, 3, 2, 4, 2, 5, 4, 3, 4, 4], "169": [4, 4, 4, 2, 3, 4, 5, 2, 5, 2, 4, 5, 3, 4, 3, 2, 2, 3, 2, 2, 5, 5, 5, 5, 4, 4, 1, 3, 3, 4, 5, 4, 4, 3, 4, 3, 2, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 2, 3, 2, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 1, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 5, 5, 3, 4, 4, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 2, 3, 3, 5, 4, 1, 4, 2, 2, 4, 4, 3, 2, 3, 2, 4, 4, 5, 5, 2, 3, 5, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 2, 4, 3, 1, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 2, 4, 1, 4, 3, 5, 5, 5, 4, 4, 2, 5, 4, 4, 3, 2, 2, 2, 5, 4, 4, 4, 2, 4, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 3, 3, 2, 5, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 4, 3, 4, 4, 2, 1, 3, 5, 3, 5, 3, 4, 3, 4, 4, 5, 2, 3, 2, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 2, 4, 4, 2, 4, 4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 2, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 4, 1, 4, 4, 4, 5, 3, 3, 2, 2, 4, 5, 3, 1, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 2, 2, 3, 4, 1, 4, 3, 4, 4, 5, 4, 3, 2, 3, 4, 4, 5, 5, 4, 4, 4, 1, 3, 3, 4, 5, 3, 5, 3, 3, 3, 4, 4, 3, 2, 2, 4, 3, 2, 4, 3, 2, 5, 5, 3, 1, 4, 4, 4, 4, 1, 3, 4, 3, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 2, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 2, 2, 5, 4, 4, 3, 4, 4, 4, 2, 2, 3, 4, 3, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 5, 1, 4, 4, 3, 3, 5, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 1, 4, 4, 2, 5, 5, 5, 4, 4, 4, 5], "4550": [4, 1, 3], "2396": [4, 5, 2, 3, 5, 3, 5, 3, 3, 4, 5, 4, 5, 3, 4, 3, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 4, 3, 5, 5], "3520": [4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 3, 2, 4, 2, 4, 4, 4, 5, 4, 1, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 1, 2, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 5, 3, 5, 2, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5], "1702": [5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5], "912": [4, 3, 5, 5, 3, 4, 3, 5, 5, 3, 3, 3, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 2, 4, 5, 3, 3, 3], "4097": [4, 5, 4, 4, 1, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 4, 2, 3, 5, 4], "3685": [5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 2, 5, 4, 5, 4, 3, 5, 4, 3, 1, 3, 3, 5, 4, 5, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 5, 2, 5, 5, 5, 4, 5, 3, 3, 3, 5, 3, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 1, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 1, 5, 3, 5, 4, 4, 4, 2, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 1, 4, 4, 5, 5, 3, 3, 5], "300": [4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 3, 3, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 1, 5, 4, 4, 3, 5, 5, 4, 2, 5, 3, 4, 5, 4, 2, 5, 3, 3, 4, 5, 5, 5, 1, 5, 3, 4, 2, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 2, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 3, 4, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 2, 4, 3, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4], "5263": [4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 4, 5, 2, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 1, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 3, 3, 2, 4, 3, 3, 5, 4, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 3, 2, 2, 4, 2, 4, 2, 2, 3, 4, 3, 5, 2, 3, 2, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 2, 2, 4, 2, 2, 2, 4, 3, 3, 5, 3, 4, 2, 4, 4, 4, 3, 3, 5, 5], "1355": [5, 4, 4, 4, 2, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4], "5311": [5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 1, 4, 2, 1, 3, 1, 1, 1, 5, 5, 5, 5, 5, 3, 4, 4, 3, 1, 4, 3, 5, 4, 1, 3], "954": [4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 5, 4, 2, 3, 4, 3, 4, 4, 4, 3, 3, 1, 4, 4, 4, 3, 5, 4, 3, 4, 5, 1, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 3, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 2, 4, 4, 1, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 1, 5, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4], "3859": [4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 4, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 3, 2, 4, 5, 3, 4, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 5, 3, 3, 3, 1, 3, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 1, 5, 4, 5, 2, 4, 4, 3, 4, 1, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 1, 2, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 4, 3, 5, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3], "5670": [1, 4, 5, 1, 5, 5, 1, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "3050": [1, 4, 3, 3, 4, 4, 1, 2, 4, 4, 4, 5, 2, 4, 4, 5, 3, 3, 4, 5, 5, 3, 5, 4, 2, 4, 4, 5, 4, 5, 3, 4, 3, 5, 3, 5, 5, 2, 4, 4, 1, 5, 5, 1, 2, 3, 5, 5, 5], "1547": [4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 2, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 3, 5, 2, 5, 2, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 2, 4, 3, 4, 4, 2, 5, 5, 4, 4, 5, 2, 5, 5, 2, 3, 4, 5, 5, 4, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 3, 4, 5, 3, 3, 4, 5, 3, 4, 4, 5, 4, 5, 5], "5884": [4, 3, 5, 5, 3, 5, 3, 5, 3, 2, 4, 4, 4, 4, 5, 3, 4, 5, 3, 5, 3, 4, 4, 5, 3, 1, 3, 3, 5, 5, 3, 5, 3, 1, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 5, 3, 2, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 5, 5, 4, 3, 2, 3, 5, 5, 5, 4], "4486": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "2062": [5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 3, 3, 5, 5, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 5, 3, 3, 3, 4, 5, 5, 2, 5, 3, 4, 3, 5, 3, 4, 5, 3, 1, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 1], "3851": [4, 3, 3, 5, 3, 3, 3, 3, 2, 4, 3, 2, 3, 4, 2, 2, 5, 4, 2, 3, 5, 3, 4, 3], "3228": [3, 5, 3, 5, 5, 5, 4, 4, 3, 5, 3, 3, 5, 5, 4, 5, 4, 5, 3, 4, 2, 4, 5, 3, 2, 5, 5, 2, 4, 5, 5, 3, 4, 3, 5, 2, 4, 5, 5, 2, 4, 5, 3, 5, 5, 5, 2, 5, 3, 3, 2, 4, 4, 5, 4, 2, 5, 2, 5, 5, 5, 2, 5, 2, 3, 5, 3, 3, 4, 4, 5, 2, 3, 4, 4, 5, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 2, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 1, 5, 5, 5], "40": [5, 2, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 2, 5, 2, 2, 3, 4, 5, 3, 4, 2, 4, 2, 5, 2, 4, 3, 3, 3, 1, 4, 5, 2, 4, 1, 1, 1, 3, 5, 3, 4, 4, 5, 4, 3, 4, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 3, 3, 5, 3, 3, 5, 4, 3, 5, 4, 4, 4, 3, 3, 1, 4, 5, 2, 3, 3, 4, 5, 4, 1, 2, 4, 3, 3, 5, 4, 2, 3, 5, 4], "2008": [3, 5, 5, 3, 4, 5, 5, 4, 3, 5, 2, 5, 5, 5, 5, 4, 2, 4, 5, 3, 5, 4, 3, 5, 5, 5, 2, 1, 3, 3, 3, 5, 5, 5, 4, 4, 2, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 4, 4, 5, 5, 2, 1, 5, 2, 3, 4, 4, 5, 4, 3, 5, 4, 1, 5, 5, 4, 5, 5, 2, 5, 4, 5, 3, 4, 4, 5, 3, 3, 5, 5, 4, 3, 5, 2, 4, 2, 5, 5, 1, 4, 4, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 2, 3, 5, 5, 5, 4, 5, 5, 2, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 3, 5, 3, 5], "318": [4, 3, 3, 4, 5, 3, 4, 5, 4, 4, 4, 2, 4, 5], "6006": [3, 2, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 2, 3, 5, 2, 5, 4, 3, 1, 3, 4, 3, 4, 4, 1, 4, 2, 2, 4, 2, 5, 1, 4, 4, 2, 1, 4, 5, 3, 2, 3, 4, 3, 1, 2, 3, 3, 3, 4, 2, 2, 3, 3, 4, 4, 2, 3, 5, 3, 3, 3, 5, 4, 1, 3, 3, 3, 2, 2, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 1, 4, 5, 3, 3, 4, 3, 3, 2, 1, 4, 4, 4, 1, 1, 5, 3], "4086": [5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 1, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 1, 5, 4, 4, 4, 5, 5, 4, 2, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 3, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 1, 4, 3, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 1, 3, 3, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5], "2189": [4, 5, 3, 4, 3, 4, 4, 4, 4], "4703": [5, 3, 5, 1, 3, 4, 5], "1918": [4, 1, 5, 3, 4, 4, 2, 3, 4, 1, 1, 5, 1, 2, 4], "1071": [5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 1, 5, 4], "2500": [4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 3, 3, 3, 2, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 1, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 2, 3, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3], "5317": [4, 4, 4, 3, 4, 4, 4, 3, 2, 1, 3, 5, 3, 4, 5, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 4, 2, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 2, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 1, 4, 5, 3, 2, 4, 4, 5, 4, 1, 5, 5, 4, 3, 3, 1, 5, 3, 2, 3, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 2, 3, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 4, 4, 4, 3, 4, 2, 5, 5, 5, 5, 3, 2, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 3, 4, 3, 5, 4, 2, 5, 5, 5, 4, 4, 1, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 2, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 3, 5, 4, 5, 2, 3, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 5, 2, 5, 5, 5, 5, 2, 5, 4, 5, 5, 3, 2, 4, 2, 5, 4, 4, 3, 4, 4, 1, 2, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 2, 4, 4, 3, 2, 4, 3, 4, 5, 5, 4, 4, 4, 3, 1, 5, 4, 4, 4, 5, 5, 5, 4, 3, 5, 3, 5, 5, 2, 3, 3, 4, 5, 3, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 2, 2, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 2, 4, 3, 4, 3, 5, 4, 2, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 2, 3, 5, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 2, 5, 4, 3, 5, 2, 3, 2, 5, 1, 4, 3, 4, 4, 3, 5, 5, 2, 4, 5, 5, 3, 3, 4, 4, 4, 5, 2, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4], "4626": [4, 1, 1, 3, 2, 4, 2, 5, 4, 5, 2, 5, 5, 5, 3, 4, 3, 2, 2, 3, 3, 5, 3, 5, 2, 5, 4, 2, 5, 2, 3, 1, 2, 2, 3, 3, 4, 4, 3, 3, 1, 3, 5, 2, 3, 4, 3, 3, 4, 2, 3, 5, 2, 3, 5, 3, 2, 3, 4, 3, 3, 5, 5, 4, 2, 4, 4, 3, 5, 4, 5, 3, 4, 4, 2, 2, 3, 1, 5, 5, 5, 3, 2, 4, 4, 4, 4, 2, 3, 4, 5, 5, 1, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 3, 5, 5, 4, 3, 1, 5, 3, 5, 4, 4, 1, 5, 5, 3, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 5, 1, 3, 4, 3, 5, 3, 3, 4, 2, 2, 3, 3, 4, 2, 5, 5, 3, 4, 3, 5, 3, 3, 5, 3, 5, 4, 5, 3, 5, 5, 4, 5, 5, 2, 4, 2, 3, 5, 1, 2, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 1, 5, 5, 4, 5, 3, 5, 3, 5, 5, 2, 4, 3, 4, 3, 1, 4, 4, 5, 4, 3, 2, 5, 4, 4, 3, 2, 4, 2, 4, 5, 4, 3, 2, 1, 2, 2, 3, 4, 4, 3, 3, 3, 5, 1, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 4, 3, 4, 2, 3, 2, 2, 4, 4, 4, 2, 3, 4, 2, 2, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 1, 4, 3, 5, 4, 2, 2, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 2, 1, 4, 1, 2, 4, 5, 1, 4, 2, 3, 4, 2, 3, 3, 4, 4, 3, 5, 4, 4, 5, 5, 2, 5, 4, 3, 4, 5, 3, 4, 3, 2, 5, 4, 3, 5, 5, 3, 4, 3, 3], "1025": [4, 5, 5, 5, 4, 4, 4, 4, 4], "574": [4, 5, 4, 1, 1, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5], "429": [5, 3, 3, 5, 4, 5, 5, 4, 5, 2, 5, 3, 4, 1, 4, 3, 5, 5, 1, 3, 3, 3, 4, 5, 3, 5, 5, 5, 5, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 3, 4, 5, 4, 3, 3, 3, 5, 1, 3, 5, 2, 3, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 1, 3, 4, 5, 2, 5, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 5, 1, 4, 2, 3, 5, 3, 2, 3, 1, 3, 3, 4, 5, 4, 5, 3, 3, 2, 2, 3, 5, 3, 3, 3, 3, 1, 2, 5, 3, 5, 3, 3, 4, 5, 5, 3, 5, 3, 3, 4, 2, 3, 5, 3, 4, 5, 3, 3, 2, 2, 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 4, 4, 3, 2, 3, 5, 3, 2, 4, 4, 2, 5, 2], "1977": [4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 3, 5, 3, 4, 3, 4, 4, 2, 5, 4, 4, 3, 5, 4, 3, 3, 5, 5, 4, 5, 4, 3, 2, 2, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 2, 5, 3, 3, 2, 3, 5, 5], "3219": [3, 4, 3, 4, 5, 4, 5, 5, 5, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 2, 3, 3], "4493": [4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 4, 3, 2, 4], "1914": [5, 5, 2, 2, 1, 2, 3, 5, 4, 5, 2], "2758": [3, 5, 5, 5, 3, 4, 4, 2, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 1, 5, 4], "1136": [2, 3, 3, 2, 3, 5, 5, 4, 4, 2, 4, 4, 4, 5, 3, 4, 2, 4, 2, 3, 4, 4, 4, 4, 4, 3, 5, 3], "465": [4, 2, 2, 4, 4, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 1, 4, 4, 4, 3, 4, 3, 5, 3, 1, 4, 4, 2, 5, 2, 5], "5514": [5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4], "106": [3, 5, 3, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 3, 3, 5, 3, 4, 3, 4, 5, 4, 4], "4387": [2, 4, 3, 4, 4, 4, 5, 4, 3, 5, 5, 2, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 2, 3, 4, 2, 4, 4, 4, 4, 4, 2, 5, 1, 4, 3, 4, 3, 4, 5, 4, 4, 3, 1, 5, 5, 3, 5, 2, 3, 4, 5, 4, 2, 5, 5, 4, 5, 4, 2, 3, 1, 4, 3, 3, 1, 2, 4, 3, 3, 4, 3, 1, 4, 3, 3, 1, 3, 2, 4, 4, 3, 4, 3, 2, 4, 3, 2, 3, 5, 5, 3, 4, 1, 2, 1, 2, 4, 3, 4, 3, 1, 3, 2, 1, 4, 4, 3, 3, 1, 3, 1, 2, 3, 3, 4, 3, 2, 4, 1, 4, 1, 4, 2, 4, 3, 3, 2, 4, 1, 5, 2, 1, 2, 4, 1, 3, 4, 2, 3, 4, 2, 4, 3, 2, 2, 3, 2, 4, 3, 3, 4, 4, 1, 3, 4, 3, 2, 2, 1, 1, 4, 1, 3, 4, 3, 2, 3, 2, 4, 2, 5, 4, 5, 5, 2, 2, 4, 4, 2, 2, 2, 1, 3, 4, 3, 2, 2, 4, 5, 2, 5, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 1, 4, 3, 4, 4, 4, 5, 1, 5, 3, 2, 3, 3, 3, 2, 4, 1, 1, 2, 3, 1, 3, 5, 2, 1, 4, 4, 3, 4, 3, 5, 3, 3, 2, 1, 2, 2, 3, 3, 5, 3, 3, 1, 3, 2, 1, 3, 5, 1, 5, 4, 5, 1, 2, 4, 3, 4, 4, 5, 3, 1, 4, 5, 3, 4, 3, 4, 3, 5, 2, 5, 3, 2, 4, 3, 2, 3, 4, 4, 5, 2, 3, 1, 4, 2, 5, 5, 1, 5, 3, 3, 5, 4, 5, 5, 5, 2, 3, 5, 4, 4, 1, 2, 2, 3, 4, 4, 1, 3, 3, 3, 4, 1, 4, 2, 4, 2, 1, 4, 2, 4, 5, 4, 2, 1, 2, 4, 3, 4, 5, 2, 2, 3, 3, 3, 4, 3, 2, 4, 4, 2, 5, 1, 2, 5, 3, 2, 2, 4, 5, 1, 4, 3, 4, 5, 2, 2, 2, 5, 4, 4, 4, 2, 3, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 2, 2, 1, 5, 3, 5, 2, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 4, 3, 1, 2, 5, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 2, 2, 4, 4, 1, 4, 4, 2, 3, 3, 2, 3, 1, 4, 4, 3, 3, 5, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 2, 4, 1, 3, 3, 4, 3, 4, 2, 3, 1, 1, 2, 1, 1, 3, 1, 2, 3, 3, 5, 1, 4, 3, 3, 3, 1, 2, 1, 3, 4, 1, 3, 3, 4, 3, 3, 1, 4, 4, 3, 1, 5, 4, 3, 2, 3, 4, 2, 4, 2, 2, 4, 4, 1, 4, 2, 5, 4, 4, 2, 1, 5, 2, 2, 4, 1, 3, 3, 3, 2, 3, 5, 5, 3, 4, 5, 5, 1, 3, 3, 3, 4, 4, 2, 1, 1, 2, 4, 1, 2, 2, 4, 3, 3, 1, 4, 3, 3, 4, 1, 3, 4, 4, 5, 3, 2, 1, 4, 4, 2, 5, 1, 3, 3, 1, 3, 3, 4, 4, 4, 2, 1, 3, 3, 1, 3, 1, 2, 4, 2, 5, 3, 3, 3, 3, 3, 4, 1, 3, 1, 3, 1, 4, 1, 3, 2, 2, 5, 3, 3, 4, 4, 4, 2, 3, 2, 2, 3, 1, 4, 5, 5, 3, 1, 4, 4, 3, 5, 3, 4, 3, 4, 4, 2, 3, 3, 1, 1, 4, 4, 5, 5, 3, 4, 2, 2, 3, 2, 4, 1, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 5, 4, 3, 1, 4, 2, 1, 3, 4, 5, 3, 4, 5, 4, 1, 1, 3, 3, 1, 4, 1], "4348": [5, 5, 5, 3, 5, 3, 1, 4, 4, 3, 5, 3], "1696": [5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 2, 3, 3, 3, 3, 4, 5, 4, 3, 1, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 2, 5, 4, 3, 3, 4, 3, 3, 4, 4, 2, 4, 1, 4, 4, 5, 4, 4, 3, 4, 1, 3, 3, 4, 3, 3, 4, 4, 3, 4, 3, 1, 5, 3, 3, 2, 1, 3, 5, 2, 4, 3, 4, 1, 4, 2, 4, 5, 3, 5, 5, 4, 1, 3, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 2, 3, 3, 2, 4, 4, 4, 5, 1, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 2, 3, 4, 4, 4, 3, 3, 5, 3, 1, 4, 3, 1, 5, 4, 3, 5, 4, 5, 2, 3, 5, 3, 4, 2, 5, 3, 4, 3, 4, 5, 2, 4, 3, 3, 5, 2, 4, 5, 4, 3, 2, 4, 1, 1, 2, 3, 2, 4, 4, 3, 2, 4, 4, 3, 5, 3, 4, 4, 2, 3, 4, 5, 1, 5, 1, 4, 4, 4, 2, 4, 5, 5, 5, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 3, 4, 5, 2, 4, 3, 4, 3, 5, 5, 3, 4, 5, 3, 2, 3, 3, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 2, 3, 3, 4, 4, 4, 5, 5, 2, 2, 4, 4, 3, 5, 5, 3, 3, 2, 1, 4, 3, 3, 5, 5, 5, 4, 5, 4, 5, 5], "2326": [3, 3, 3, 5, 3, 4, 3, 3, 4, 3, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 3, 2, 4, 5, 3, 5, 3, 5, 2, 3, 2, 2, 4, 1, 3], "3205": [5, 4, 5, 5, 3, 2, 4, 2, 1, 4, 2, 4, 5, 3, 4, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 3, 3, 2, 1, 5, 5, 5, 3, 5, 2, 4, 4, 5, 1, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 4, 3, 5, 4, 3, 2, 2, 3, 3, 1, 3, 3, 4, 4, 4, 5, 1, 4, 3, 3, 3, 2, 4, 5, 5, 2, 2, 4, 3, 4, 3, 2, 2, 5, 5, 2, 5, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 5, 5, 3, 2, 4, 3, 1, 5, 4, 2, 4, 4, 3, 4, 5, 5, 2, 2, 4, 5, 3, 2, 4, 3, 3, 3, 2, 3, 2, 5, 4, 3, 4, 3, 5, 2, 5, 4, 3, 4, 2, 5, 4, 1, 5, 5, 4, 1, 3, 3, 4, 5, 3, 5, 3, 2, 3, 5, 5, 5, 4, 4, 4, 1, 1, 4, 3, 1, 2, 2, 5, 4, 5, 5, 3, 4, 3, 3, 5, 4, 5, 5, 3, 2, 4, 2, 3, 4, 1, 5, 4, 2, 3, 5, 5, 4, 3, 2, 4, 3, 4, 4, 4, 2, 2, 3, 3, 5, 2, 2, 1, 4, 5, 4, 2, 1, 3, 3, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 2, 2, 3, 4, 2, 5, 3, 5], "407": [5, 4, 5, 3, 5, 4, 5, 1, 5, 3, 5, 4, 1, 3, 1, 4, 3, 5, 5, 5, 4, 3, 1, 5, 3, 5], "2076": [4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4], "879": [5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 2, 5, 4, 2, 5, 1, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4], "2468": [4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 1, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 5, 4, 4], "1847": [5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 1, 4, 5, 5, 5, 1, 4, 5, 4, 5, 1, 5, 5, 5, 4, 5, 5, 5, 4], "1769": [3, 3, 1, 4, 2, 3, 3, 3, 4, 3, 5, 3], "3169": [4, 5, 5, 5, 5, 3, 1, 5, 5, 4, 3, 2, 5, 1, 5, 2, 5, 5, 1, 2, 3, 3, 5, 1, 5, 5, 4, 1, 5, 1, 5, 3, 3, 2, 5, 5, 2, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 4, 2, 3, 5, 5, 4, 1, 1, 2, 1, 4, 5, 5, 5, 2, 4, 4, 4, 5, 4, 3, 5, 4, 1, 3, 5, 2, 1, 3, 5, 2, 2, 1, 1, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 3, 5, 3], "4923": [3, 4, 2, 4, 5, 5, 5, 5, 3, 2, 3, 4, 5, 2, 4, 3, 3, 3, 2, 1, 5], "3964": [4, 3, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 2, 3, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 4, 5, 4], "1303": [4, 4, 5, 2, 2, 4, 1, 2, 5, 3, 5, 5, 5, 4, 2, 2, 4, 4, 1, 3, 3, 2, 5, 5, 1, 4, 4, 2, 4, 3, 3, 3, 4, 1, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 4, 2, 3, 1, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 2, 5, 3, 3, 3, 4, 4, 5, 3, 4, 3, 4, 5, 5, 1, 3, 5, 2, 4, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 2, 4, 5, 3, 2, 2, 4, 3, 2, 4, 2, 4, 4, 1, 4, 1, 4, 2, 3, 1, 2, 5, 2, 5, 3, 4, 2, 4, 3, 4, 2, 5, 4, 3, 2, 3, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 2, 2, 4, 3, 3, 4, 1, 2, 5, 3, 2, 1, 4, 5, 4, 3, 3, 4, 3, 5, 5, 3, 2, 5, 3, 5, 3, 3, 5, 3, 1, 2, 5, 4, 1, 5, 3, 1, 3, 5, 4, 4, 4, 3, 3, 3, 3, 4, 1, 4, 4, 3, 4, 3, 4, 3, 2, 2, 2, 3, 1, 5, 5, 4, 3, 3, 1, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 1, 4, 5, 3, 4, 4, 4, 4, 3, 2, 2, 3, 3, 3, 2, 3, 3, 2, 3, 5, 4, 3, 2, 5, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 1, 2, 4, 2, 5, 3, 3, 3, 3, 2, 4, 2, 2, 3, 5, 2, 3, 5, 3, 4, 5, 5, 3, 3, 4, 1, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 1, 4, 3, 4, 2, 4, 5, 5, 1, 3, 2, 3, 3, 4, 2, 3, 5, 2, 5, 4, 1, 3, 4, 4, 4, 3, 1, 2, 3, 5, 4, 1, 4, 5, 4, 3, 1, 5, 5, 3, 2, 4, 5, 1, 1, 3, 4, 1, 5, 3, 2, 2, 2, 3, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 3, 3, 2, 1, 3, 5, 2, 2, 3, 4, 4, 2, 1, 4, 4, 2, 4, 4, 4, 1, 5, 1, 3, 4, 2, 5, 4, 4, 3, 5, 2, 3, 4, 3, 5, 3, 3, 4, 4, 3, 4, 2, 1, 3, 1, 3, 1, 4, 3, 3, 4, 4, 3, 1, 2, 4, 4, 4, 3, 4, 4, 4, 4, 1, 1, 1, 5, 5, 5, 3, 2, 5, 4, 1, 4, 5, 1, 3, 3, 5, 3, 4, 2, 3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 2, 5, 4, 4, 1, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 2, 3, 4, 4, 4, 3, 1, 2, 5, 4, 1, 4, 2, 1, 2, 3, 2, 4, 5, 5, 3, 2, 5, 3, 4, 5, 4, 4, 3, 2, 5, 3, 2, 3, 4, 2, 2, 4, 4, 5, 3, 2, 5, 5, 4, 3, 5, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 1, 5, 2, 4, 4, 3, 5, 2, 2, 3, 5, 3, 4, 3, 4, 4, 4, 1, 3, 5, 3, 4, 4, 4, 5, 1, 3, 3, 3, 3, 4, 2, 4, 4, 4, 4, 3, 5, 4, 4, 3, 1, 5], "3183": [4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 5, 3, 2, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 5, 2], "2580": [4, 4, 4, 3, 3, 4, 5, 3, 1, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 4, 2, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 3, 2, 1, 4, 5, 4, 4, 1, 4, 3, 3, 5, 5, 3, 5, 3, 5, 3, 2, 1, 4], "3237": [4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 2, 4, 2, 5, 4, 3, 5, 5, 4, 5, 5, 2, 2, 4, 4, 3, 2, 5, 4, 3, 3, 4, 3, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4], "2768": [5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 2, 4, 5, 4, 3, 5, 3, 3, 5, 4, 5, 5, 5, 3, 4, 4, 4, 2, 3, 5, 3, 5, 3, 4, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5], "2963": [5, 4, 4, 5, 4, 4, 2, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 2, 4, 3, 4, 4, 3, 5, 3, 4, 3, 4, 5, 3, 4], "2031": [3, 2, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 1, 3, 5, 3, 4, 4, 3, 4, 5, 4, 5, 3, 2, 3, 5, 5, 4, 2, 3, 4, 2, 4, 5, 3, 3, 4, 5, 2, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 1, 3, 3, 2, 4, 4, 5, 3, 4, 5, 2, 2, 4, 3, 3, 4, 5, 4, 4, 3, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 2, 3, 5, 4, 1, 2, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3, 5, 2, 3, 3, 5, 3], "1792": [3, 4, 4, 4, 5, 4, 5, 5, 4, 2, 5, 4, 4, 3, 4, 5], "2648": [3, 4, 5, 5, 3, 3, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 2, 5, 4, 5, 4, 1, 3, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 2, 5, 3, 5, 3, 4, 5, 4, 3, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 2, 2, 3, 4, 3, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 3, 2, 5], "1261": [4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 5, 3, 5, 4, 3, 4, 4, 5, 3, 5, 5, 3, 5, 1, 2, 4, 4, 3, 5, 3, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 3, 4, 5, 3, 2, 5, 5, 2, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 1, 3, 4, 4, 3, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 3, 2, 5, 2, 4, 5, 5, 4, 5, 1, 5, 4, 4], "335": [1, 5, 3, 4, 5, 5, 2, 4, 3, 2, 1, 5, 2, 3, 1, 3, 1, 3, 5, 2, 3, 3, 4, 1, 2, 2, 1, 1, 1, 4, 1, 4, 1, 5, 5, 1, 2, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 4, 2, 1, 2, 5, 1, 2, 1, 3, 2, 1, 1, 1, 3, 3, 2, 1, 5, 2, 5, 2, 2, 5, 2, 3, 3, 5, 4, 1, 1, 1, 3, 1, 2, 3, 1, 3, 1, 4, 4, 2, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 1, 1, 2, 1, 4, 2, 2, 3, 5, 1, 5, 2, 3, 2, 2, 1, 2, 4, 1, 5, 3, 5, 5, 1], "952": [4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 4, 2, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 3, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 3, 4], "2197": [4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 1, 1, 5, 3, 4, 5, 5, 5, 3, 3], "843": [4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 2, 3, 4, 5, 2, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 5, 4, 4, 4, 5, 1, 4, 4, 4, 4, 5, 4, 2, 5, 3, 5, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 4], "910": [5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 5, 3, 3, 3, 4, 4, 4, 4, 2, 2, 4, 5, 4, 5, 4, 4, 3, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 2, 2, 2, 4, 4, 3, 5, 4, 3, 5, 2, 4, 4, 4, 2, 4, 4, 1, 3, 2, 4, 4, 1, 3, 4, 3, 2, 3, 3, 3, 4, 4, 3, 2, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 2, 5, 4, 5, 4, 2, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 2, 2, 3, 4, 3, 4, 3, 5, 4, 5, 3, 4, 3, 3, 4, 2, 4, 3, 2, 3, 5, 5, 3], "788": [2, 3, 4, 3, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 5, 3, 5, 5, 2, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 2, 4, 2, 2, 5, 3, 5, 3, 2, 2, 4, 4, 5, 3, 3, 4, 3, 2, 4, 4, 4, 3, 4, 5, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 4, 5, 2, 1, 3, 4, 4, 2, 2, 2, 3, 2, 4, 5, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 1, 2, 3, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 2, 3, 2, 3, 3, 4, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 5, 3, 4, 4, 4, 4, 5, 2, 3, 3, 2, 2, 4, 4, 5, 3, 3, 5, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4], "871": [4, 4, 3, 4, 4, 3, 4, 4, 2, 3], "1026": [5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 2, 4, 3, 5, 5, 3, 3, 3, 5], "245": [3, 4, 3, 2, 1, 2, 4, 2, 2, 1, 4, 4, 3, 1, 2, 4, 2, 2, 3, 3, 5, 3, 3, 2, 4, 1, 4, 3, 1, 3, 3, 4, 3, 1, 2, 4, 3, 3, 3, 3, 5, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 4, 3, 1, 4, 4, 2, 4, 2, 4, 4, 3, 4, 3, 4, 3, 4, 3, 2, 2, 4, 3, 2, 3, 3, 5, 3, 2, 1, 4, 3, 4, 3, 1, 5, 1, 1, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 4, 2, 1, 3, 5, 3, 2, 3, 1, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 2, 3, 3, 1, 2, 3, 4, 3, 3, 1, 3, 2, 2, 4, 4, 1, 3, 4, 2, 3, 3, 2, 1, 4, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 3, 2, 5, 3, 3, 4, 2, 3, 3, 3, 2, 1, 3, 4, 3, 3, 2, 2, 2, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 2, 1, 3, 2, 2, 3, 1, 3, 2, 3, 3, 4, 3, 3, 1, 1, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 2, 1, 3, 2, 3, 3, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 3, 3, 2, 1, 3, 3, 4, 2, 4, 1, 4, 3, 2, 3, 2, 3, 1, 3, 4, 2, 2, 4, 3, 1, 1, 3, 3, 1, 3, 3, 2, 2, 3, 3, 1, 2, 2, 1, 3, 3, 2, 4, 4, 3, 3, 4, 2, 1, 1, 2, 1, 3, 2, 4, 2, 3, 3, 3, 2, 3, 3, 4, 2, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 1, 1, 3, 1, 2, 3, 3, 3, 3, 3, 2, 3, 4, 1, 3, 2, 2, 3, 3, 2, 4, 1, 3, 3, 3, 3, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 3, 4, 3, 3, 2, 4, 3, 2, 2, 2, 3, 1, 1, 5, 4, 5, 4, 3, 3, 2, 2, 1, 2, 2, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 2, 4, 2, 3, 1, 3, 1, 2, 1, 2, 3, 2, 4, 4, 3, 3, 3, 4, 3, 1, 3, 4, 3, 3, 2, 2, 4, 3, 2, 2, 3, 3, 3, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 4, 1, 3, 3, 3, 3, 2, 3, 1, 3, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 4, 2, 3, 1, 3, 2, 2, 3, 3, 4, 2, 3, 1, 3, 2, 3, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 3, 2, 2, 3, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 4, 3, 3, 1, 2, 3, 1, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 1, 4, 2, 4, 4, 3, 5, 2, 4, 4, 3, 4, 3, 5, 3, 2, 1, 3, 3, 2, 2, 2, 1, 4, 2, 3, 1, 2, 3, 2, 4, 3, 1, 4, 3, 4, 2, 3, 4, 4, 4, 5, 4, 3, 3, 1, 3, 3, 4, 1, 3, 3, 5, 4, 2, 1, 4, 3, 2, 3, 5, 4, 2, 4, 2, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 2, 3, 2, 5, 2, 2, 3, 2, 2, 4, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 3, 1, 3, 4, 3, 3, 4, 4, 2, 1, 2, 2, 3, 3, 1, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3], "1758": [4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 2, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 5, 2, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 2, 3, 4, 3, 2, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 2, 5, 2, 3, 4, 3, 4, 4, 3, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 2, 3, 4, 5, 1, 3, 4, 4, 4, 4, 4, 5, 5, 2, 2, 5, 5, 4, 2, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 2, 4, 3, 1, 4, 4, 2, 3, 4, 3, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 2, 3, 4, 4, 2, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 5, 4, 1, 4, 2, 4, 1, 4, 2, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 2, 5, 4, 5, 4, 5, 4, 4, 5, 3, 4, 2, 5, 1, 5, 4, 3, 4, 3, 5, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 4, 4, 5, 5, 3, 3, 4, 5, 4, 4, 2, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 4, 4, 5, 5, 2, 5, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 2, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 2, 4, 5, 4, 2, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 1, 4, 2, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4], "3093": [4, 5, 4, 3, 3, 5, 3, 3, 5, 2, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 2, 2, 5, 3, 4, 4, 1, 5, 4, 4, 4, 4, 5, 5, 3, 4, 2, 5, 3, 5, 4, 5, 5, 5, 3, 5, 2, 4, 4, 5, 5, 3, 5, 4, 5, 2, 4, 4, 5, 3, 3, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 2, 4, 4, 3, 4, 5, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4], "1399": [5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 1, 4, 4, 4, 2, 5, 1, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 5, 5, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4], "4388": [3, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 5, 4, 4, 5, 4, 2, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 2, 4, 4, 3, 4, 3, 2, 2, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 5, 3, 5, 5, 2, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 2, 5, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 2, 5, 3, 3, 4, 4, 2, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 1, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 1, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 5, 2, 4, 4, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 3, 3, 3, 5, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 3, 4, 5, 3, 4, 3, 4, 4, 3, 4, 2, 3, 3, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 3, 4, 3, 2, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4], "2935": [5, 4, 3, 3, 5, 5, 3, 3, 4, 1, 5, 1, 2, 5, 1, 5, 2, 2, 1, 4, 4, 3, 5, 1, 5, 5, 3, 3, 1, 1, 5, 4, 5, 3, 1, 1, 4, 4, 3, 5, 5, 2, 4, 5, 5, 5, 3, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 2, 2, 2, 3, 4, 2, 4, 4, 4, 4, 3, 1, 4, 5, 5, 3, 5, 5, 1, 4, 3, 1, 4, 4, 4, 5, 1, 5, 4, 5, 5, 5, 3, 5, 5, 2, 2, 5, 4, 4, 5, 4, 2], "3835": [5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4], "3821": [3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 2, 4, 4, 3, 4, 3, 5, 2, 3, 1, 3, 4, 4, 4, 2, 2, 3, 3, 2, 4, 2, 4, 3, 2, 4, 3, 4, 3, 3, 5, 3, 5, 5, 4, 3, 3, 4, 4, 4, 1, 5, 3, 5, 4, 3, 4, 4, 2, 4, 3, 3, 2, 4, 2, 5, 3, 4, 3, 4, 3, 1, 2, 4, 5, 5, 3, 2, 2, 4, 1, 4, 3, 4, 2, 5, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 1, 3, 2, 4, 2, 3, 2, 3, 3, 3, 5, 4, 4, 5, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 4, 5, 3, 3, 3, 2, 1, 4, 3, 4, 2, 4, 2, 4, 4, 3, 1, 2, 2, 3, 2, 4, 2, 2, 3, 4, 3, 4, 3, 3, 3, 2, 2, 4, 3, 2, 4, 3, 2, 3, 4, 3, 3, 4, 2, 3, 5, 4, 3, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 5, 2, 2, 3, 3, 2, 3, 3, 2, 4, 4, 5, 3, 4, 3, 3, 1, 3, 4, 3, 1, 3, 2, 3, 2, 3, 5, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 3, 2, 3, 2, 3, 4, 3, 3, 4, 4, 3, 1, 4, 3, 2, 3, 3, 2, 3, 3, 4, 4, 3, 3, 4, 3, 1, 3, 3, 2, 3, 4, 3, 2, 3, 2, 5, 3, 4, 3, 2, 4, 3, 3, 1, 3, 2, 4, 5, 2, 4, 2, 3, 5, 2, 3, 3, 3, 3, 4, 4, 3, 2, 4, 5, 3, 3, 4, 1, 2, 4, 2, 3, 4, 2, 2, 4, 5, 5, 3, 4, 3, 1, 1, 2, 4, 4, 4, 3, 3, 1, 3, 2, 1, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 2, 1, 3, 3, 3, 3, 1, 4, 3, 3, 5, 5, 1, 1, 2, 2, 3, 4, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 3, 2, 2, 2, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 5, 2, 2, 3, 1, 3, 2, 4, 3, 3, 3, 4, 2, 4, 4, 3, 3, 3, 2, 3, 3, 5, 3, 3, 2, 2, 2, 3, 3, 1, 3, 1, 2, 3, 5, 3, 5, 4, 4, 3, 5, 3, 3, 4, 4, 1, 2, 4, 3, 3, 2, 5, 2, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 2, 1, 4, 2, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 3, 3, 3, 4, 3, 1, 3, 3, 4, 3, 3, 3, 2, 4, 2, 3, 2, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5], "3717": [5, 4, 5, 4, 2, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 2, 4, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 1, 2, 5, 3, 4, 4, 2, 3, 5, 3, 3, 3, 5, 4, 3, 3, 2, 4, 4, 4, 2, 5, 3, 5, 4, 4, 4, 3, 4, 2, 4, 1, 4, 5, 1, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 3, 3, 5, 4, 2, 5, 4, 4, 5, 4, 2, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 2, 4, 4, 5, 4, 1, 4, 5, 4, 4, 3, 5, 5, 4, 5, 3, 3, 5, 4, 4, 2, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 2, 4, 1, 5, 4, 2, 5, 4, 4, 5, 5, 4, 4, 4, 4], "2118": [5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 2, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 4], "1821": [5, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 3], "5691": [2, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 3, 3, 2, 4, 3, 4, 4, 5, 5, 2, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 3, 5, 4, 3, 5, 3, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 4, 5, 3, 5, 5, 2, 5, 4, 5, 5, 3, 4, 3, 3, 3, 5, 5, 4, 5, 4, 3, 2, 3, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3], "5741": [4, 1, 5, 3, 3, 1, 3, 5, 2, 2, 1, 1, 4, 3, 2, 4, 2, 1, 2, 1, 2, 4, 3, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 1, 3, 5, 3, 1, 1, 5, 4, 2, 3, 4, 4, 2], "4317": [4, 5, 1, 5, 4, 5, 5, 3, 4, 1, 3, 5, 4, 5, 4, 4, 1, 4, 3, 4, 3, 4, 1, 5, 3, 2, 5, 5, 5, 3, 5, 5, 4, 4, 2, 5, 2, 3, 2, 5, 2, 4, 1, 3, 2, 5, 4, 2], "5875": [4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 2, 3, 2, 4, 4, 3, 4, 3, 1, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 2, 5, 5, 5, 5, 5, 4, 4, 5, 1, 4, 5, 5, 4, 2, 4, 2, 3, 5, 4, 3, 2, 1, 4, 5, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 2, 5, 4, 4, 4, 2, 2, 3, 5, 5, 4], "3074": [4, 5, 4, 5, 5, 5, 5, 5, 5, 1, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5], "2322": [3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3], "3176": [4, 4, 4, 5, 5], "62": [5, 4, 3, 3, 4, 3, 3, 5, 5, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 5, 3, 3, 4, 3, 4, 3, 2, 4, 5, 1, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 2, 3, 2, 5, 4, 3, 4, 5, 3, 4, 5, 5, 3, 4, 4, 5, 3, 3, 4, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 5, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 3, 4, 3, 3, 5, 5, 2, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 5, 2, 4, 3, 3, 5, 2, 4, 2, 3, 2, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 2, 4, 5, 5, 3, 4, 4, 2, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 5, 3, 4, 5, 3, 4, 4, 4, 3, 4, 2, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 3, 5, 5, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 4, 3, 3, 2, 3, 5, 3, 5, 4, 5, 4, 2, 4, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 2, 3, 4, 2, 4, 2, 3, 3, 3, 3, 4, 5, 4, 3, 3, 5, 3, 4, 5, 3, 4, 4, 4, 2, 3, 3, 2, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 3, 3, 3, 3, 5, 5, 2, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 2, 4, 2, 3, 4, 5, 2, 5, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 5, 5, 4, 5, 4, 5, 3, 2, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 5, 3, 2, 4], "1695": [5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 2, 4, 1, 5, 5, 5, 5, 4, 4, 3, 4, 1, 4, 3, 4, 3, 5, 4, 4, 5, 1, 3, 4, 5, 3, 5, 3, 4, 5, 3, 1, 1, 5, 5, 5, 2, 3, 2, 5, 1, 3, 3, 3, 4, 3, 5, 5, 4, 4, 3, 2, 4, 3, 4, 2, 2, 5, 5, 5, 5, 3, 3, 3, 1, 2, 5, 4, 2, 5, 3, 4, 5, 5, 3, 4, 3, 5, 3, 4, 4, 3, 3, 1, 1, 1, 4, 4, 1, 3, 5, 3, 4, 4, 5, 3, 4, 5, 3, 3, 3, 2, 3, 5, 4, 4, 4, 4, 5, 1, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 2, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 1, 1, 5, 3, 4, 4, 4, 2, 3, 2, 3, 5, 2, 4], "4081": [5, 5, 4, 5, 4, 1, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 1, 5, 1, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 5, 4], "1111": [3, 1, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 1, 5, 3, 5, 1, 3, 5, 5, 4, 1, 5, 5, 1, 3, 5, 5, 5], "1512": [2, 2, 4, 5, 5, 4, 4, 1, 1, 2, 3, 4, 5, 4, 4, 5, 3, 3, 2, 3, 2, 3, 3], "870": [4, 4, 1, 3, 4, 3, 3, 3, 5, 5, 4, 1, 5, 3, 4, 5, 3, 5, 1, 5, 4, 4, 3, 3, 5, 4, 3, 3], "1164": [4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 4, 3, 5, 3, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 2, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 2, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 3, 4, 5, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 5, 4, 2, 3, 2, 4, 1, 2, 3, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 3, 2, 5, 4, 4, 4, 3, 2, 4, 2, 1, 3, 3, 2, 4, 5, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 2, 4, 3, 2, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 5, 4, 3, 3, 4, 4, 4, 3, 4, 2, 5, 2, 5, 5, 4, 5, 4, 3, 5, 3, 3, 2, 3, 4, 2, 4, 1, 3, 5, 4, 4, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 2, 3, 3, 5, 4, 4, 4, 2, 4, 2, 5, 2, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 2, 5, 5, 1, 3, 5, 4, 4, 4, 3, 4, 4, 4, 1, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 3, 4, 5], "1156": [3, 3, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3], "2662": [4, 4, 2, 4, 5, 4, 5, 3, 4, 5, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 2, 4], "2863": [5, 3, 5, 3, 5, 4, 4, 3, 4, 3, 5, 2, 4, 3, 4, 4, 3, 3, 5, 3, 3, 2, 2, 4, 3, 4, 5, 5, 3, 4, 3, 3, 4, 4, 3, 1, 4, 5, 3, 3, 4, 3, 5, 5, 2, 2, 4, 1, 5, 4, 3, 1, 4, 5, 3, 3, 3, 1, 4, 5, 3, 3, 2, 5, 3, 4, 4, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 1, 4, 5, 4, 5, 5, 4, 4, 5], "1958": [3, 3, 3, 3, 4, 3, 3, 3, 1, 2, 2, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 3, 2, 3, 5, 5, 4, 2, 3, 4, 3, 5, 3, 3, 3, 3, 5, 4, 3, 4, 4, 2, 2, 2, 3, 4, 1, 5, 4, 2, 3, 2, 2, 3, 3, 3, 4, 3, 2, 5, 3, 4, 3, 2, 3, 5, 5, 3, 4, 3, 4, 3, 3, 4, 2, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 1, 4, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 2, 4, 5, 4, 3, 3, 3, 4, 5, 3, 3, 3, 1, 3, 3, 2, 2, 2, 3, 4, 2, 4, 5, 3, 4, 4, 1, 5, 3, 4, 5, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 5, 3, 4, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 5, 2, 4, 3, 3, 4, 4, 2, 1, 4, 2, 3, 5, 2, 2, 4, 4, 4, 3, 4, 5, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 2, 4, 3, 4, 5, 4, 3, 2, 3, 3, 4, 5, 4, 4, 3, 2, 2, 4, 4, 1, 3, 4, 5, 5, 3, 4, 1, 3, 3, 4, 4, 2, 4, 3, 5, 4, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 1, 1, 3, 2, 5, 3, 2, 3, 3, 3, 4, 4, 3, 5, 2, 3, 5, 4, 3, 5, 4, 4, 4, 3, 3, 3, 2, 2, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 5, 3, 4, 3, 3, 4, 4, 2, 2, 2, 2, 2, 2, 4, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 3, 3, 2, 3, 5, 4, 2, 3, 2, 5, 2, 2, 2, 3, 2, 3, 4, 4, 4, 3, 4, 4, 1, 4, 4, 5, 3, 3, 1, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 4, 5, 2, 3, 5, 3, 4, 3, 5, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 1, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 4, 3, 4, 4, 4, 3, 4, 3, 2, 3, 5, 3, 4, 4, 3, 5, 4, 4, 2, 5, 3, 3, 5, 4, 2, 2, 3, 3, 5, 2, 4, 4, 2, 2, 4, 3, 2, 2, 3, 3, 2, 4, 2, 5, 2, 3, 2, 4, 5, 3, 4, 2, 3, 2, 2, 2, 3, 3, 4, 2, 3, 4, 5, 3, 5, 3, 2, 1, 2, 2, 4, 5, 4, 4, 3, 4, 3, 2, 4, 4, 5, 4, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 3, 3, 2, 2, 3, 2, 3, 4, 2, 1, 3, 3, 4, 3, 5, 3, 5, 3, 2, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 5, 3, 4, 3, 4, 4], "4306": [5, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 5, 2, 3, 5, 1, 5, 4, 4, 2, 5, 5, 3, 2, 5, 2, 2, 3, 5, 5, 1, 4, 3, 4, 4, 3, 1, 3, 4, 3, 5, 3, 3, 3, 5, 3, 5, 4, 3, 2, 3, 4, 2, 5, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 5, 5, 3, 3, 5, 3, 4, 3, 3, 5, 2, 5], "3337": [4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 5, 3, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4], "4167": [2, 5, 3, 4, 4, 3, 5, 3, 3, 3, 4, 5, 5, 3, 2, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 2, 5, 3, 5, 3, 5, 2, 5, 4, 5, 5, 4, 4, 3, 5, 3, 4, 4, 3, 3, 5, 5, 2, 4, 3, 4, 5, 2, 4, 1, 3, 4, 2, 4, 5, 4, 3, 3, 4, 2, 3, 2, 2, 1, 3, 3, 4, 4, 5, 2, 4, 2, 4, 3, 5, 4, 3, 4, 5, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 2, 5, 4, 3, 5, 4, 1, 3, 3, 3, 3, 3, 4, 3, 4, 1, 2, 3, 5, 3, 4, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 3, 2, 1, 4, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 3, 3, 5, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 4, 3, 2, 3, 4, 3, 3, 2, 4, 4, 4, 2, 4, 4, 3, 3, 4, 5, 4, 2, 3, 3, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 3, 3, 3, 1, 4, 4, 3, 4, 3, 3, 5, 5, 5, 3, 2, 5, 5, 5, 4, 1, 5, 1, 3, 2, 3, 4, 3, 5, 3, 4, 3, 3, 3, 3, 5, 4, 5, 3, 3, 5, 4, 2, 2, 3, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 3, 2, 3, 3, 5, 2, 3, 2, 2, 5, 3, 4, 5, 5, 4, 5, 3, 3, 4, 3, 5, 3, 4, 4, 5, 5, 3, 3, 2, 3, 4, 4, 4, 1, 4, 1, 4, 2, 4, 4, 5, 4, 5, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 3, 4, 3, 4, 5, 3, 3, 2, 3, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 3, 5, 3, 5, 5, 2, 5, 5, 5, 4, 5, 4, 2, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 3], "5589": [4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 3], "1326": [3, 5, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3], "1753": [3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 3, 1, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 1, 1, 5, 4, 4, 5, 2, 5, 3, 5, 5, 5, 5, 4, 3, 2, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 1, 3, 3, 4, 4, 2, 3, 4, 3, 5, 3, 5, 5, 5, 3, 3, 3, 4, 3, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 1, 2, 3, 3, 4, 5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 3, 4, 3, 5, 4, 3, 4, 3, 4, 1, 4, 3, 4, 3, 3, 2, 3, 2, 2, 5, 4, 3, 3, 3, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 2, 5, 4, 5, 5, 3, 4, 2, 5, 3, 3, 3, 3, 1, 5, 5, 2, 5, 5, 5, 5, 3, 3, 4, 4, 5, 2, 3], "2011": [5, 5, 2, 5, 5, 2, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 3, 5, 1, 5, 5, 3, 2, 4, 3, 4, 1, 3, 4, 1, 4, 5, 3, 5, 4, 5, 5, 4, 2, 3, 2, 5, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 4, 4, 4, 3, 5, 5, 2, 4, 5, 5, 1, 5, 1, 5, 4, 1, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 1, 3, 4, 5, 5, 1, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 2, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 2, 4, 4, 3, 5, 4, 5, 5, 5, 3, 3, 5, 5, 1, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 2, 5, 5], "5408": [5, 4, 5, 5, 3, 3, 5, 2, 3, 5, 5, 5, 3, 4, 5, 4, 2, 3, 5, 5, 5, 4, 4, 2, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 3, 4, 2, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 2, 5], "4886": [5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 5, 5, 1, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 3, 4, 3, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 5, 5, 2, 4, 3], "761": [5, 4, 5, 5, 4, 5, 4, 5, 5, 3], "4353": [4, 5, 5, 3, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 3, 5, 5, 4, 3, 5, 1, 3, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 4, 4, 4, 3, 5, 5, 4, 5, 2, 2, 4, 3, 2, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 2, 3, 5, 5, 3, 3, 4, 5, 4, 4, 3, 5, 3, 3, 1, 4, 3, 5], "4573": [2, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 2, 5, 4, 4, 3, 3, 4, 4, 2, 4, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 1, 4, 5, 3, 4, 2, 5, 3, 3, 2, 4, 4, 4, 4, 5, 2, 3, 4, 5, 3, 5, 4, 5, 4, 2, 3, 4, 4, 2, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 2, 4, 3, 5, 4, 3, 3, 2, 4, 3, 5, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 5, 3, 5], "3755": [5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 5], "4237": [5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 4, 5, 4, 3, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 3, 5, 4, 3], "3875": [5, 4, 5, 3, 4, 4, 3, 2, 5, 4, 3, 3, 4, 5], "1088": [3, 3, 4, 4, 2, 2, 1, 4, 3, 3, 5, 2, 3, 4, 5, 5, 5, 3, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3, 3, 4, 1, 1, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 1, 2, 3, 4, 1, 4, 4, 1, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 1, 4, 3, 4, 4, 2, 3, 5, 4, 5, 1, 3, 5, 4, 5, 4, 4, 1, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 1, 5, 1, 3, 4, 5, 4, 1, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 3, 2, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 3, 2, 4, 3, 5, 3, 5, 4, 4, 4, 3, 1, 5, 5, 4, 3, 4, 2, 4, 3, 2, 4, 4, 2, 4, 4, 3, 5, 1, 3, 4, 4, 2, 4, 4, 3, 3, 3, 5, 3, 3, 2, 4, 3, 3, 4, 3, 3, 4, 2, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 2, 4, 4, 3, 5, 3, 2, 1, 1, 3, 3, 5, 4, 4, 3, 1, 4, 4, 1, 5, 3, 4, 5, 3, 1, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 1, 4, 4, 4, 5, 4, 4, 4, 1, 4, 4, 2, 3, 3, 4, 1, 4, 1, 3, 2, 5, 4, 2, 4, 3, 3, 5, 2, 3, 4, 5, 4, 1, 1, 4, 2, 2, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 3, 3, 2, 3, 4, 1, 3, 3, 1, 4, 1, 1, 3, 3, 4, 4, 4, 1, 4, 3, 1, 4, 4, 4, 4, 2, 1, 2, 4, 4, 3, 3, 5, 3, 5, 1, 3, 3, 4, 3, 2, 3, 5, 2, 4, 3, 2, 3, 1, 4, 4, 4, 5, 4, 3, 1, 2, 3, 4, 5, 2, 3, 1, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 5, 3, 4, 4, 3, 3, 4, 1, 3, 3, 4, 1, 4, 3, 3, 1, 5, 4, 4, 2, 2, 1, 4, 2, 4, 4, 4, 5, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 4, 1, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 2, 4, 4, 3, 1, 4, 4, 1, 3, 1, 4, 2, 2, 5, 1, 4, 5, 5, 4, 3, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 3, 3, 2, 5, 3, 3, 1, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 1, 1, 4, 4, 1, 5, 2, 3, 4, 3, 5, 3, 5, 5, 3, 3, 1, 4, 3, 2, 4, 5, 2, 4, 3, 3, 3, 4, 5, 3, 5, 5, 5, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 1, 3, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 1, 3, 4, 3, 4, 1, 4, 4, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 4, 3, 5, 4, 3, 1, 3, 3, 3, 3, 4, 2, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 1, 3, 5, 1, 4, 2, 2, 4, 4, 4, 4, 4, 5, 3, 2, 1, 2, 3, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 5, 4, 5, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 2, 4, 4, 4, 3, 2, 3, 1, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 1, 3, 4, 4, 1, 3, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 2, 2, 5, 5, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 1, 2, 4, 4, 4], "786": [5, 4, 5, 5, 4, 5, 5, 4, 4, 1, 3, 4, 5, 5, 2, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 3, 5, 4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 3, 4, 3, 3, 3, 3, 5, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 1, 5], "4907": [4, 2, 3, 3, 2, 2, 3, 3, 4, 3, 4, 3, 5, 2, 4, 5, 4, 2, 4, 3, 4, 5, 4, 2, 4, 3, 4, 3, 5, 3, 5, 4, 1, 5, 3, 4, 4, 5, 4, 4, 2, 3, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 3, 2, 2, 4, 4, 3, 4, 5, 4, 4, 4, 1, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 1, 1, 3, 1, 1, 3, 4, 3, 4, 4, 1, 5, 5, 3, 3, 5, 5, 1, 5, 3, 4, 3, 2, 5, 1, 3, 5, 2, 5, 3, 4, 2, 4, 1, 5, 3, 3, 2, 3, 5, 4, 4, 4, 1, 1, 4, 4, 4, 5, 4, 2, 4, 5, 5, 5, 1, 2, 3, 3, 1, 5, 4, 2, 4, 2, 5, 4, 1, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 2, 2, 5, 2, 4, 2, 3, 3, 5, 3, 2], "4245": [5, 3, 5, 2, 5, 4, 4, 1, 4, 4, 3, 3, 5, 5, 5, 3, 2, 3, 2, 3, 5, 3, 3, 1, 2, 3, 4, 2, 1, 4, 4, 4, 2, 2, 5, 4, 3, 5, 4, 5, 5, 4, 5, 1, 1, 5, 5, 5, 4, 2, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 3, 2, 1, 1, 5, 4, 3, 2, 3, 2, 3, 5, 4, 4, 4, 5, 5, 4, 4, 1, 5, 4], "4516": [3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4], "4223": [3, 4, 3, 3, 5, 4, 3, 4, 4, 4, 5, 2, 3, 3, 5, 4, 2, 3, 4, 4, 3, 4, 5, 3, 3, 4, 3, 1, 4, 3, 4, 4, 3, 3, 5, 5, 3, 4, 2, 4, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 2, 2, 4, 3, 5, 4, 3, 2, 4, 3, 5, 3, 4, 1, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 2, 1, 2, 2, 4, 4, 2, 3, 4, 3, 3, 3, 3, 5, 3, 5, 3, 3, 2, 4, 2, 4, 3, 3, 3, 2, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3], "3744": [5, 4, 5, 5, 3, 5, 3, 5, 3, 5, 2, 3, 4, 1, 4, 5, 4, 3, 5, 5, 3, 4, 5, 5, 2, 4, 5, 5, 4, 4, 5, 5, 5], "424": [4, 5, 4, 4, 3, 5, 4, 5, 3, 3, 3, 3, 3, 5, 4, 4, 1, 4, 3, 5, 3, 5, 4, 5, 5, 4, 3, 5, 2, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 4, 3, 4, 2, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 3, 3, 5, 5, 1, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 3, 5, 2, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 2, 5, 3, 5, 5, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 4, 4, 1, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 2, 1, 2, 4, 4, 4, 3, 4, 2, 5, 5, 4, 3, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 4, 4, 3, 5, 5, 3, 4, 2, 3, 3, 4, 3, 2, 3, 5, 3, 4, 2, 4, 3, 3, 5, 2, 2, 1, 3, 3, 4, 5, 5, 3, 4, 5, 4, 3, 3, 3, 5, 4, 5, 2, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 5, 4, 3, 4, 4, 4, 4, 2, 4, 3, 5, 5, 4, 2, 3, 1, 4, 4, 4, 5, 4, 4, 5, 5, 3, 3, 4, 3, 4, 1, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 2, 3, 4, 3, 5, 2, 5, 5, 3, 2, 3, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 2, 4, 4, 4, 5, 4, 3, 4, 1, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 5, 4, 3, 5, 5, 4, 3, 3, 4, 5, 3, 3, 4, 5, 3, 5, 4, 4, 4, 4, 3, 5, 2, 4, 4, 3, 4, 4, 3, 1, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 5, 3, 5, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 2, 5, 4, 4, 4, 4, 2, 4, 3, 4, 3, 5, 3, 4, 3, 4, 2, 2, 4, 3, 1, 5, 3, 3, 4, 3, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 2, 3, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 4, 5, 3, 3, 3, 4, 2, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 3, 3, 5, 4, 3, 4, 5, 3, 4, 3, 3, 5, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 5, 3, 4, 5, 3, 5, 3, 2, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 5, 2, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 3, 2, 4, 5, 5, 4, 1, 3, 4, 4, 4, 4, 2, 3, 3, 5, 2, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 3, 1, 5, 4, 2, 3, 4, 4, 3, 5, 4, 1, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 5, 3, 4, 3, 2, 3, 4, 4, 3, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 2, 4, 1, 5, 5, 2, 3, 4, 3, 5, 3, 5, 4, 3, 3, 4, 3, 4, 2, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 1, 5, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 5, 2, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 5, 4, 3, 3, 2, 5, 4, 3, 2, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 1, 5, 3, 4, 4, 4, 4, 4, 3, 4, 1, 4, 5, 4, 4, 4, 2, 3, 4, 2, 4, 5, 2, 2, 5, 2, 3, 3, 2, 2, 4, 2, 4, 1, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 5, 4, 3, 4, 1, 3, 3, 2, 2, 3, 2, 3, 4, 5, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 5, 5, 2, 3, 4, 3, 3, 3, 4, 4, 5, 3, 2, 5, 4, 5, 4, 5, 2, 1, 4, 4, 4, 4, 3, 4, 3, 3, 5, 5, 3, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 2, 3, 4, 4, 1, 2, 4, 4, 5, 5, 4, 4, 2, 5, 4, 3, 5, 3, 5, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 4, 3, 4, 2, 5, 2, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 2, 3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 2, 4, 5, 5, 3, 2, 4, 3, 5, 4, 4, 5, 5, 5, 3], "1867": [1, 3, 4, 3, 5, 1, 2, 4, 3, 3, 4, 1, 2, 3, 4, 3, 1, 5, 3, 1, 5, 2, 2, 2, 5, 2, 3, 2, 5, 2, 4, 1, 3, 5, 5, 2, 3, 2, 3, 2, 2], "1487": [3, 4, 4, 5, 4, 4, 4, 2, 4, 5, 5, 3, 3, 1, 3, 5, 2, 3, 5], "5468": [3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 5, 3, 5, 5, 2, 4, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 3, 3, 2, 4, 4, 5, 2, 3, 4, 5, 3, 4, 1, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 5, 4, 4, 2, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 2, 3, 5, 3, 5, 5, 4, 4, 2, 2, 5, 5, 4, 5, 3, 2, 5, 3, 4, 3, 2, 4, 3, 3, 5, 4, 2, 4, 5, 1, 2, 4, 5, 4, 3, 2, 5, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 2, 4, 5, 5, 5, 3, 4, 5, 2, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 5, 2, 2, 4, 5, 3, 4, 4, 2, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 3, 3, 3, 5, 4, 3, 5, 5, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 2, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 3, 1, 2, 4, 4, 4, 3, 3, 3, 3, 2, 2, 3, 2, 4, 3, 3, 3, 5, 2, 4, 3, 3, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 1, 4, 5, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 3, 5, 3, 2, 4, 3, 3, 2, 4, 2, 3, 2, 3, 4, 1, 2, 4, 2, 4, 3, 2, 1, 2, 4, 5, 5, 2, 2, 5, 1, 5, 3, 4, 5, 4, 3, 1, 4, 4, 4, 1, 5, 4, 3], "49": [3, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 3, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 5, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 2, 3, 4, 4, 5, 4, 2, 3, 4, 4, 3], "1165": [3, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 5, 4, 4, 2, 5, 3, 1, 5, 4, 1, 2, 5, 4, 5, 4, 5, 5, 3, 2, 4, 3, 4, 4, 2, 3, 3, 3, 4, 2, 4, 5, 3, 2, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4], "826": [3, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 1, 2, 4, 1, 4, 3, 5, 3, 4, 2, 1, 5, 2], "1075": [4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 3, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 2, 4, 4, 5, 3, 3, 4, 5, 3, 3], "560": [3, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 3, 5, 5, 5, 2, 3, 3, 5, 5, 4, 5, 2, 3, 2, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 3, 5, 5, 5, 5, 2, 5, 3, 2, 4, 4, 4, 5, 5, 4, 2, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 2, 2, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 2, 4, 3, 4, 5, 4, 3, 4], "5326": [2, 2, 1, 5, 4, 3, 5, 3, 4, 2, 3, 3, 1, 5, 5, 2, 2, 3, 2, 2, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 1, 2, 3, 1, 5, 2, 3, 3, 3, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 4, 3, 2, 3, 2, 2, 4, 1, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 4, 3, 3, 3, 4, 1, 3, 2, 4, 3, 3, 5, 2, 2, 2, 2, 2, 2, 2, 4, 2, 3, 4, 4, 3, 2, 4, 2, 3, 1, 3, 3, 2, 3, 3, 2, 1, 1, 1, 1], "2698": [4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 2, 3, 5, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 1, 5, 4, 5], "3427": [5, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 2, 2, 3, 5, 2, 5, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4], "262": [3, 4, 3, 3, 2, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 5, 4, 4, 1, 3, 4, 5, 4, 3, 4, 3, 3, 5, 3, 1, 5, 2, 1, 1, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 5, 2, 5, 3, 3, 2, 3, 4, 2, 2, 3, 5, 2, 3, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 2, 5, 5, 2, 2, 4, 4, 3, 2, 4, 5, 4, 3, 1, 3, 3], "524": [5, 4, 4, 3, 3, 3, 5, 5, 5, 2, 4, 3, 5, 3, 3, 4, 5, 2, 2, 2, 5, 4, 4, 2, 4, 4, 5, 5, 5, 5, 2, 5, 3, 5, 5, 4, 4, 4, 3, 5, 2, 3, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 2, 5, 5, 3, 4, 5, 4, 4, 5, 2, 1, 5, 5, 4, 4, 4, 5, 4, 3, 2, 2, 4, 5, 4, 4, 5, 4, 1, 5, 4, 4, 5, 2, 4, 1, 5, 4, 3, 4, 3, 1, 1, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 2, 1, 5, 5, 4, 3, 1, 5, 1, 2, 4, 4, 4, 5, 4, 4, 2, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 3, 2, 4, 1, 4, 3, 2, 5, 4, 4, 2, 5, 5, 4, 4, 5, 4, 1, 5, 4, 5, 2, 3, 4, 2, 4, 5, 3, 1, 2, 5, 4, 5, 3, 4, 3, 4, 2, 5, 4, 2, 2, 4, 5, 4, 3, 4, 5, 4, 1, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4, 5, 3, 5, 5, 4, 2, 2, 4, 3, 4, 5, 5, 1, 3, 5, 4, 4, 3, 4, 5, 2, 3, 4, 5, 4, 1, 4, 3, 3, 5, 3, 2, 4, 5, 4, 2, 4, 5, 3, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3, 5, 2, 4, 4, 2, 5, 4, 5, 4, 2, 2, 2, 2, 5, 1, 3, 1, 4, 2, 4, 4, 4, 3, 4, 4, 2, 5, 5, 4, 5, 3, 4, 5, 5, 2, 4, 3, 2, 1, 1, 5, 5, 2, 4, 4, 5, 5, 5, 3, 3, 1, 4, 1, 3, 5, 4, 1, 3, 2, 4, 4, 4, 2, 5, 5, 3, 3, 5, 3, 5, 4, 1, 4, 2, 4, 5, 3, 3, 3, 3, 5, 4, 1, 5, 1, 5, 4, 4, 2, 1, 3, 3, 4, 2, 4, 3, 5, 3, 1, 4, 5, 4, 4, 5, 4, 4, 1, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 5, 5, 4, 1, 5, 5, 5, 3, 3, 4, 4, 5, 3, 4, 3, 4, 2, 3, 2, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 1, 4, 2, 4, 2, 4, 4, 3, 4, 5, 3, 4, 4, 2, 3, 4, 2, 4, 4, 5, 5, 3, 2, 4, 5, 4, 5, 3, 3, 5, 2, 5, 5, 5, 3, 4, 3, 4, 2, 2, 5, 4, 5, 4, 5, 3, 4, 5, 2, 4, 2, 4, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 4, 3, 1, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 1, 3, 5, 3, 2, 5, 5, 5, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 3, 2, 4, 3, 3, 1, 3, 5, 2, 1, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 3, 4, 3, 2, 4, 4, 1, 5, 5, 4, 4, 3, 5, 3, 5, 5, 2, 5, 3, 1, 5, 3, 3, 2, 4, 4, 2, 4, 5, 3, 5, 5, 3, 2, 4, 4, 4, 2, 2, 5, 3, 3, 4, 4, 4, 2, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 2, 4, 1, 3, 5, 1, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 1, 5, 1, 5, 4, 3, 1, 1, 2, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 5, 2, 5, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 3, 5, 4, 5, 4, 4, 5, 1, 4, 4, 4, 4, 3, 4, 4, 5, 1, 3, 4, 5, 5, 2, 4, 1, 5, 4, 1, 1, 1, 3, 3, 5, 4, 5, 5, 3, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 1, 4, 1, 3, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 2, 4, 1, 4, 4, 3, 4, 5, 3, 4, 2, 3, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 1, 4], "3198": [4, 5, 2, 3, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 2, 3, 5, 4, 5, 4, 3, 5, 4, 5, 5, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4], "3383": [5, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 2, 5, 5, 2, 3, 2, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 2, 5, 4, 4, 3, 3, 5, 4], "3699": [5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 3], "2974": [5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5], "5497": [5, 4, 5, 4, 3, 4, 5, 4, 3, 3, 4, 2, 4, 4, 5, 3, 4, 5, 4, 4, 3, 2, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 1, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5, 2, 4, 4, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 5, 2, 3, 2, 4, 5, 4, 5, 5, 4, 3, 4, 4, 2, 4, 2, 3, 4, 2, 4, 5, 5, 2, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4], "1242": [3, 5, 5, 3, 5, 4, 2, 4, 2, 3, 3, 3, 3, 5, 4, 5, 2, 3, 3, 5, 5, 5, 3, 4, 3, 3, 1, 3, 3, 3, 2, 5, 5, 3, 5, 4, 4, 4, 3, 5, 1, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 2, 3, 2, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 2, 3, 5, 5, 3, 2, 1, 1, 4, 3, 5, 3, 3, 3, 5, 1, 4, 4, 2, 2, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 2, 3, 4, 5, 5, 4, 3, 5, 4, 2, 2, 4, 4, 3, 4, 5, 5, 2, 5, 3, 4, 4, 4, 5, 3, 4, 2, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 1, 2, 3, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 1, 4, 5, 5, 3, 5, 3, 3, 4, 1, 5, 5, 4, 4, 2, 5, 4, 5, 4, 3, 5, 4, 2, 3, 3, 4, 3, 3, 3, 4, 5, 2, 5, 4, 3, 5, 4, 1, 4, 5, 4, 3, 4, 5, 1, 1, 4, 5, 4, 4, 5, 5, 5, 1, 3, 4, 4, 4, 1, 3, 4, 5, 4, 3, 2, 5, 2, 1, 3, 2, 2, 2, 4, 2, 2, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 2, 5, 2, 2, 4, 4, 2, 4, 3, 3, 5, 5, 3, 2, 5, 4, 5, 4, 4, 1, 4, 3, 2, 2, 5, 4, 4, 2, 2, 4, 4, 4, 4, 4, 2, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 3, 4, 5, 4, 2, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 4, 3, 2, 4, 5, 5, 5, 3, 5, 5, 2, 4, 1, 4, 2, 5, 5, 3, 4, 2, 5, 4, 2, 2, 2, 4, 3, 5, 2, 3, 3, 4, 5, 4, 5, 2, 3, 5, 2, 5, 4, 2, 4, 5, 1, 5, 3, 4, 5, 5, 3, 3, 1, 3, 4, 1, 4, 4, 4, 4, 2, 5, 5, 5, 4, 5, 4, 5, 3, 5, 1, 1, 4, 4, 2, 2, 5, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 4, 3, 4, 4, 4, 2, 3, 4, 5, 4, 3, 3, 4, 5, 3, 2, 3, 5, 4, 2, 3, 3, 3, 3, 4, 4, 4, 5, 2, 3, 4, 4, 4, 5, 4, 5, 5, 1, 5, 5, 5, 3, 3, 5, 4, 5, 1, 3, 3, 5, 5, 4, 2, 1, 4, 4, 5, 1, 3, 3, 5, 3, 4, 3, 4, 5, 1, 4, 3, 5, 3, 3, 5, 3, 5, 4, 2, 2, 3, 5, 2, 2, 5, 5, 2, 5, 5], "2797": [5, 5, 4, 4, 2, 3, 4, 4, 5, 5, 2, 3, 2, 3, 4, 4, 1, 1, 1, 2, 2, 1, 1, 3, 2, 1, 1, 3, 3, 4, 5, 1, 4, 1, 3, 3, 5, 3, 5, 5, 2], "3403": [5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 4, 2, 3, 5, 4, 5, 5, 5, 4, 2, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 4, 2, 4, 5, 5, 5, 5, 4, 3, 5, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5], "4171": [1, 4, 3, 1, 4, 4, 4, 4, 3, 4, 1, 4, 4, 3, 1, 1, 4, 4, 1, 4, 5, 4, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 2, 4, 2, 5, 4, 2, 5, 4, 3, 4, 1, 4, 4, 3, 1, 3, 1, 4, 4, 3, 3, 5, 5, 3, 1, 2, 5, 3, 4, 3, 5, 4, 5, 4, 3, 5, 5, 1, 5, 4, 3, 1, 1, 3, 3, 2, 5, 2, 1, 1, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 1, 4, 4, 5, 4, 4, 5, 2, 4, 5, 5, 4, 2, 3, 3, 5, 4, 4], "5395": [3, 5, 5, 5, 5, 5, 4, 4, 2, 3, 4, 2, 4, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 4, 3, 2, 3, 4, 4, 4, 5, 2, 5, 3, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 3, 5, 5, 3, 4, 1, 2, 4, 2, 3, 4, 4, 4, 5, 2, 4, 3, 4, 2, 3, 2, 3, 1, 5, 4, 3, 5, 4, 4, 5, 4], "2596": [5, 4, 3, 2, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 3, 2, 4, 4, 3, 4, 5, 4, 3], "4334": [4, 4, 2, 4, 3, 2, 5, 3, 4, 4, 4, 4, 1, 5, 4, 5, 5, 4, 5, 4, 3, 3, 5, 4, 2, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3, 2, 5, 2, 4, 4, 3, 5, 2, 4, 4, 5, 5, 1, 4, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 2, 4, 4, 5, 3, 3, 1, 4, 3, 2, 1, 4, 4, 3, 3, 4, 3, 4, 2, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 3, 2, 5, 4, 4, 3, 4, 3, 4, 1, 1, 4, 4, 3, 1, 1, 1, 4, 4, 5, 3, 1, 3], "4847": [5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 4, 5, 3, 2, 4, 3, 4, 4, 3, 2, 3, 4, 5, 4, 2, 5, 4, 3, 5, 4, 3, 5, 4, 3], "1241": [5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 1, 4, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5], "3471": [4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 2, 3, 3, 5, 4, 3, 3, 3, 3, 5, 3, 2, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 2, 1, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 1, 3, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 4, 4, 1, 2, 1, 3, 2, 3, 3, 4, 4, 2, 3, 3, 3, 4, 3, 3, 4, 2, 3, 5, 3, 3, 3, 1, 5, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 5, 2, 1, 1, 3, 3, 5, 3, 3, 3, 3, 3, 2, 3, 3, 4, 5, 3, 3, 3, 2, 4, 2, 3, 5, 3, 4, 4, 2, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 1, 5, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 5, 4, 2, 3, 2, 3, 4, 3, 3, 2, 5, 3, 3, 2, 2, 2, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 2, 3, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 5, 2, 3, 3, 3, 4, 3, 1, 3, 4, 3, 4, 4, 3, 1, 3, 2, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 4, 3, 1, 3, 5, 3, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 5, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 5, 4, 5, 2, 2, 3, 2, 3, 5, 1, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 5, 4, 2, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 4, 3, 5, 2, 2, 3, 5, 4, 4, 2, 3, 3, 3, 2, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 5, 4, 4, 3, 2, 3, 2, 4, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 5, 2, 4, 2, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 1, 2, 3, 4, 4, 3, 3, 5, 2, 5, 3, 3, 4, 4, 4, 5, 3, 4, 3, 2, 3, 3, 1, 3, 3, 3, 3, 5, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 2, 4, 5, 3, 3, 3, 3, 3, 1, 4, 3, 5, 3, 2, 3, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4], "4337": [4, 3, 4, 5, 5, 4, 5, 5, 3, 1, 5, 2, 5, 3, 3, 4, 3, 4, 5, 4, 3, 5, 1, 5, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 4, 5, 3, 5, 5, 5, 5, 5, 3, 3, 1, 4, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 5, 3, 3, 4, 4, 3, 3, 4, 5, 3, 1, 3, 4, 5, 5, 2, 2, 4, 5, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 3, 3, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 3, 5, 5, 4, 2, 5, 4, 3, 4, 3, 5, 3, 3, 2, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 3, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 5, 2, 3, 3, 4, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 5, 4, 3, 1, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 1, 1, 4, 5, 5, 4, 5, 5], "3242": [4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 2, 4, 4, 5, 4, 4, 5, 4, 4, 5, 2, 4, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 3, 3, 3, 5, 1, 5, 1, 4, 4, 3, 3, 3, 2, 4, 2, 2, 5, 4, 4, 5, 2, 1, 2, 4, 5, 3, 4, 4, 3, 5, 3, 3, 3, 4, 5, 5, 5, 3, 1, 5, 4, 5, 4, 3, 2, 5, 1, 5, 5, 4, 4, 4, 3, 3, 3, 5, 2, 4, 4, 3, 4, 4, 4, 3, 3, 5, 2, 1, 5, 3, 5, 4, 4, 4, 2, 5, 5, 5, 2, 4, 3, 2, 4, 3, 2, 2, 3, 5, 2, 4, 4, 5, 4, 5, 2, 4, 1, 4, 2, 5, 4, 5, 3, 1, 4, 3, 2, 2, 5, 2, 3, 4, 3, 1, 4, 4, 3, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 5, 2, 2, 2, 3, 1, 2, 4, 4, 4, 4, 5, 2, 4, 5], "438": [4, 2, 2, 3, 5, 5, 4, 2, 1, 3, 4, 4, 5, 5, 3, 3, 3, 5, 4, 3, 5, 3, 5, 4, 4, 1, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 5, 3, 4, 4, 2, 3, 4, 3, 3, 2, 5, 4, 2, 2, 2, 4, 3, 3, 5, 3, 4, 3, 5, 4, 4, 5, 1, 4, 2, 4, 4, 3, 3, 3, 2, 3, 4, 4, 2, 4, 4, 3, 2, 3, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 4, 5, 3, 2, 3, 4, 4, 5, 4, 3, 3, 1, 5, 5, 4, 3, 3, 2, 4, 3, 4, 2, 3, 3, 5, 4, 3, 3, 3, 3, 2, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 3, 2, 3, 5, 4, 1, 5, 3, 3, 2, 4, 1, 4, 4, 4, 2, 4, 5, 4, 4, 2, 3, 2, 4, 3, 1, 4, 5, 5, 4, 2, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 5, 3, 5, 5, 3, 5, 3, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 1, 3, 1, 2, 5, 2, 5, 3, 4, 5, 3, 4, 2, 4, 2, 3, 2, 2, 1, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 5, 3, 5, 2, 5, 1, 3, 5, 4, 3, 4, 2, 3, 2, 4, 3, 3, 1, 3, 2, 4, 1, 4, 4, 3, 4, 1, 4, 4, 5, 4, 4, 3, 3, 5, 2, 3, 4, 3, 3, 2, 5, 5, 3, 4, 3, 3, 3, 4, 1, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 3, 1, 5, 5, 3, 4, 3, 3, 4, 1, 3, 3, 3, 3, 1, 4, 3, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 4, 5, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 2, 4, 3, 4, 4, 1, 4, 5, 2, 4, 4, 3, 3, 1, 1, 2, 4, 4, 4, 5, 4, 3, 4, 3, 4, 1, 1, 2, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 2, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 4, 1, 4, 5, 3, 4, 4, 5, 2, 3, 2, 2, 5, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 2, 1, 4, 5, 3, 3, 5, 2], "601": [2, 2, 2, 3, 4, 3, 3, 3, 4, 3, 2, 3, 5, 4, 1, 4, 2, 1, 4, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 5, 4, 4, 3, 3, 1, 2, 4, 3, 3, 2, 4, 3, 3, 1, 3, 4, 1, 4, 2, 3, 2, 3, 5, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 4, 2, 3, 5, 3, 3, 4, 2, 5, 5, 3, 3, 5, 2, 5, 5, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 2, 3, 5, 3, 3, 2, 4, 2, 5, 2, 2, 4, 4, 4, 4, 3, 4, 3, 2, 2, 3, 2, 3, 4, 1, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 2, 3, 2, 4, 4, 4, 4, 3, 4, 1, 3, 3, 4, 4, 4, 4, 1, 3, 4, 4, 3, 2, 3, 2, 2, 4, 3, 3, 4, 2, 4, 5, 2, 3, 2, 3, 2, 4, 2, 4, 4, 4, 4, 3, 3, 5, 2, 3, 2, 2, 2, 4, 4, 3, 1, 5, 1, 3, 4, 2, 4, 3, 3, 3, 4, 2, 2, 5, 2, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 4, 4, 3, 2, 2, 4, 3, 3, 3, 5, 3, 2, 2, 4, 4, 5, 2, 3, 3, 4, 3, 4, 2, 2, 4, 2, 4, 3, 4, 3, 2, 3, 3, 4, 5, 3, 1, 3, 3, 3, 4, 4, 3, 5, 3, 4, 2, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 3, 2, 4, 1], "759": [3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 2, 4, 3, 3, 3, 3, 4, 2, 4, 2, 2, 4, 3, 3, 3, 3, 3, 5, 3, 4, 4, 1, 5, 2, 4, 1, 3, 4, 3, 2, 4, 4, 4, 3, 1, 4, 3, 5, 5, 2, 4, 4, 4, 3, 5, 3, 2, 3, 4, 5, 5, 4, 2, 5, 4, 4, 4, 3, 3, 5, 5, 3, 4], "2438": [2, 5, 5, 4, 3, 4, 5, 5, 2, 5, 5, 3, 2, 5, 4, 2, 5, 4, 4, 3, 5, 4, 4, 4, 4, 2, 2, 5, 3, 1, 5, 5, 1, 1, 4, 3, 5, 5, 5, 1, 1, 2, 2, 4, 5, 5, 5, 4, 1, 5, 3, 2, 4, 3, 5, 5, 4, 4, 5, 5, 4, 2, 3, 4, 2, 1, 4, 3, 5, 4, 3, 2, 5, 3, 5, 4, 3, 2, 5, 3, 2, 4, 5, 4, 5, 5, 3, 4, 1, 2, 5, 5, 5, 5, 4, 1, 3, 5, 1, 4, 2, 4, 5, 2, 3, 1, 4, 4, 5, 2, 5, 4, 5, 2, 4, 3, 4, 5, 5, 5, 2, 5, 1, 5, 3, 3, 4, 1, 5, 5, 5, 5, 3, 5, 5, 3, 2, 5, 4, 1, 3, 5, 4, 4, 5, 4, 5, 5, 5], "4037": [5, 3, 3, 4, 4, 5, 1, 5, 5, 4, 5, 3, 4, 5, 5, 1, 5, 4, 5, 3, 4, 4, 4, 5, 4, 1, 4, 1, 5, 2, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 3, 4, 3, 2, 4, 2, 4, 4, 5], "2603": [5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 1, 5, 4, 4, 4], "428": [4, 3, 5, 5, 2, 4, 3, 2, 5, 1, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 5, 2, 3, 3, 4, 5, 5, 2, 5, 4], "1726": [2, 4, 1, 2, 4, 3, 5, 3, 1, 1, 2, 1, 3, 3, 3, 5, 1, 1, 1, 3, 4, 5, 3, 2, 1, 1, 2, 1, 4, 1, 1, 1, 3, 3, 1, 1, 4, 1, 1, 1, 1, 5, 5, 3, 1, 1, 1, 1, 4, 3, 5, 1, 1, 3, 4, 1, 2, 1, 1, 5, 5, 5, 1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 4, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 5, 2, 1, 1, 2, 1, 1, 5, 2, 1, 2, 1, 2, 1, 5, 1, 2, 2, 2, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 4, 3, 4, 1, 3, 2, 2, 3, 1, 1, 4, 1, 4, 4, 2, 2, 3, 2, 1, 5, 3, 4, 4, 1, 3, 4, 1, 1, 2, 5, 5, 4, 1, 1, 2, 1, 1, 1, 1, 3, 2, 4, 2, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 3, 1, 4, 4, 4, 5, 2, 3, 2, 1, 1, 1, 5, 4, 1, 5, 3, 1, 1, 5, 1, 2, 4, 1, 1, 1, 1, 2, 5, 3, 3, 3, 2, 4, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 1, 5, 4, 1, 4, 3, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 1, 3, 4, 4, 2, 1, 3, 4, 3, 5, 4, 1, 4, 3, 4, 1, 3, 4, 4, 1, 4, 3, 1, 4, 2, 1, 2, 3, 3, 2, 3, 1, 1, 1, 1, 4, 3, 3, 3, 1, 3, 4, 1, 2, 2, 3, 3, 3, 1, 3, 3, 4, 1, 4, 1, 5, 5, 5, 1, 1, 3, 2, 3, 1, 3, 1, 5, 1, 1, 1, 1, 5, 4, 2, 5, 1, 1, 3, 2, 4, 5, 5, 5], "1206": [5, 1, 4, 5, 4, 5, 4, 5, 5, 2, 5, 5, 5, 3, 5, 2, 2, 5, 5, 3, 4, 5, 4, 2, 2, 2, 2, 2, 3, 4, 5, 2, 4, 3, 5, 3, 1, 2, 2, 2, 4, 4, 5, 5, 3, 5, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 2, 5, 4, 4, 4, 5, 5, 3, 1, 1, 4, 3, 2, 4, 5, 2, 3, 3, 5, 2, 3, 3, 3, 5, 5, 4, 5, 4, 3, 1, 4, 1, 3, 2, 3, 2, 4, 5, 5, 4, 2, 5, 4, 5, 5, 2, 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 3], "5094": [5, 5, 5, 4, 2, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4], "1192": [4, 5, 4, 5, 5, 5, 4, 2, 5, 4, 1, 4, 4, 4, 5, 5, 5, 5, 4, 5], "4844": [4, 4, 3, 4, 5, 5, 3, 5, 5, 5, 4, 2, 2, 5, 4, 5, 5, 4], "5548": [3, 4, 4, 2, 5, 2, 3, 5, 4, 1, 2, 3, 4, 4, 1, 5, 3, 5, 3, 4, 3, 4, 4, 1, 3, 1, 5, 5, 3, 2, 4, 3, 5, 4, 4, 3, 3, 4, 5, 4, 1, 5, 1, 4, 4, 3, 3, 4, 1, 3, 3, 4, 4, 1, 3, 4, 5, 2, 5, 4, 3, 2, 5, 1, 5, 5, 4, 2, 2, 5, 5, 5, 4, 3, 2, 2, 3, 3, 3, 2, 4, 3, 3, 5, 3, 4, 4, 4, 4, 2, 4, 4, 4, 2, 3, 5, 4, 4, 4, 1, 2, 3, 5, 4, 4, 5, 5, 4, 4, 4, 3, 2, 4, 5, 3, 3, 4, 3], "3970": [2, 3, 1, 4, 4, 4, 4, 3, 5, 2, 3, 2, 5, 2, 2, 5, 5, 5, 2, 1, 4, 4, 1, 4, 3, 1, 1, 3, 4, 3, 1, 1, 2, 3, 4, 5, 4, 3, 1, 5, 4, 4, 2, 3, 3, 5, 3, 3, 3, 4, 1, 4, 3, 4, 1, 3, 1, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 3, 1, 2, 1, 5, 4, 4, 1, 3, 5, 1, 1, 1, 4, 3, 3, 5, 2, 4, 4, 3, 5, 2, 1, 2, 1, 2, 3, 3, 4, 4, 3, 4, 1, 4, 4, 4, 5, 4, 3, 3, 4, 1, 3, 1, 5, 4, 1, 3, 5, 2, 3, 3, 4, 1, 2, 5, 5, 3, 3, 1, 1, 3, 4, 3, 3, 3, 5, 5, 1, 2, 5, 4, 3, 2, 2, 2, 5, 2, 4, 3, 1, 3, 4, 4, 5, 5, 5, 5, 5, 5, 1, 4, 5, 4, 4, 1, 5, 1, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 2, 4, 5, 5, 4, 4, 1, 4, 4, 4, 4, 1, 1, 4], "616": [4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5, 3, 4, 3, 4, 3, 5, 5, 5, 3], "4676": [5, 5, 5, 4, 5, 3, 1, 2, 4, 5, 2, 5, 5, 5, 5, 2, 4, 2, 2, 5, 2], "273": [3, 5, 3, 3, 4, 2, 4, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 5, 2, 4, 2, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 1, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 5, 2, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 2, 2, 3, 3, 4, 4, 4, 3, 1, 4, 2, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 2, 5, 2], "4009": [1, 5, 4, 4, 4, 2, 4, 5, 1, 3, 3, 3, 3, 3, 5, 4, 5, 5, 2, 5, 5, 3, 2, 4, 5, 3, 3, 4, 5, 3, 2, 5, 1, 3, 5, 4, 2, 3, 3, 3, 3, 3, 3, 2, 1, 3, 3, 1, 1, 3, 3, 4, 3, 4, 1, 2, 4, 1, 3, 2, 4, 5, 3, 5, 3, 3, 3, 3, 3, 4, 3, 4, 1, 1, 3, 2, 5, 3, 1, 1, 5, 1, 3, 3, 3, 5, 1, 4, 1, 5, 1, 1, 5, 1, 3, 3, 1, 1, 3, 2, 1, 3, 3, 3, 4, 2, 3, 5, 2, 3, 3, 3, 3, 4, 1, 1, 5, 2, 2, 5, 3, 5, 3, 3, 5, 2, 1, 4, 5, 1, 1, 4, 5, 3, 3, 1, 5, 1, 4, 5, 3, 5, 2, 2, 1, 1, 1, 1, 3, 4, 1, 1, 1, 2, 2, 2, 3, 1, 5, 4, 2, 2, 5, 5, 3, 5, 4, 5, 4, 5, 1, 2, 1, 4, 4, 1, 4, 1, 2, 3, 3, 1, 1, 2, 5, 4, 1, 2, 5, 1, 1, 1, 1, 3, 3, 5, 2, 4, 5, 2, 3, 3, 1, 4, 4, 2, 1, 4, 3, 4, 3, 3, 3, 1, 2, 3, 3, 1, 5, 4, 4, 2, 3, 3, 1, 2, 3, 1, 1, 5, 1, 1, 1, 5, 5, 3, 1, 2, 5, 4, 5, 4, 1, 4, 5, 5, 1, 4, 4, 5, 5, 4, 5, 1, 5, 5, 4, 5, 5, 5, 2, 4, 1, 5, 2, 3, 3], "2854": [2, 5, 3, 1, 2, 5, 2, 5, 4, 5, 5, 5, 5, 3, 5, 2, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 1, 4, 4, 5, 4, 5, 5, 2, 5, 3, 4, 2, 4, 5, 3, 5, 4, 5, 4, 4, 5, 1, 1, 5, 4, 5, 4, 5, 1, 5, 4, 1, 1, 3, 3, 2, 4, 3, 4, 1, 3, 3, 4, 2, 2, 1, 5, 3, 2, 2, 3, 4, 3, 3, 3, 5, 1, 3, 3, 2, 3, 3, 4, 2, 3, 1, 3, 3, 5, 4, 5, 1, 1, 4, 4, 2, 3, 2, 4, 3, 4, 3, 2, 1, 5, 3, 1, 5, 1, 2, 1, 3, 5, 3, 4, 3, 5, 4, 3, 4, 1, 3, 1, 1, 1, 4, 5, 5, 2, 1, 1, 4, 3, 4, 4, 4, 2, 1, 1, 1, 1, 3, 1, 1, 5, 4, 2, 1, 3, 4, 3, 2, 5, 1, 3, 5, 3, 4, 5, 3, 1, 3, 5, 5, 3, 4, 2, 2, 3, 3, 1, 3, 1, 1, 5, 5, 2, 1, 5, 3, 5, 3, 3, 4, 4, 4, 3, 2, 3, 2, 1, 5, 1, 4, 3, 5, 2, 4, 4, 4, 4, 4, 1, 4, 5, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 1, 3, 3, 2, 3, 5, 4, 1, 3, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 5, 4, 2, 4, 1, 5, 2, 3, 5, 4, 3, 1, 5, 1, 4, 5, 4, 4, 3, 5, 3, 1, 4, 4, 2, 2, 4, 1, 1, 3, 4, 1, 3, 3, 1, 5, 1, 1, 3, 2, 1, 5, 2, 3, 1, 4, 2, 3, 4, 3, 3, 3, 4, 1, 5, 4, 4, 3, 3, 2, 5, 1, 4, 4, 3, 5, 5, 1, 3, 3, 2, 2, 2, 1, 3, 1, 4], "5467": [5, 4, 5, 4, 4, 4, 5, 4, 1, 4, 4, 5, 4, 4, 2, 3, 2, 4, 4, 4, 4, 1, 3, 4, 4, 5, 1], "2100": [3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 1, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 3, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 3, 4, 2, 3, 5, 4, 5, 3, 3, 4, 4, 3, 5, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 2, 4, 3, 4, 2, 2, 4, 3, 3, 4, 1, 4, 3, 5, 4, 5, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 2, 5, 3, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 5, 5, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 1, 4, 5, 4, 5, 3, 4, 4, 3], "2689": [5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 5, 4, 2, 4, 4, 5, 2, 3, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 1, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 5, 5], "436": [1, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 3, 2, 3, 5, 4, 5, 5, 5, 5, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 5, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 2, 3, 4, 5, 5, 2, 4, 5, 1, 3, 4, 5, 3, 5, 5, 4, 5, 1, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 1, 1, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 1, 3, 5, 3, 4, 5, 3, 4, 2, 5, 3], "5016": [3, 1, 4, 3, 4, 1, 1, 3, 4, 1, 5, 4, 3, 3, 5, 1, 5, 4, 5, 5, 4, 2, 5, 3, 4, 4, 3, 2, 4, 3, 1, 3, 3, 1, 4, 2, 4, 2, 1, 3, 3, 4, 5, 5, 3, 1, 5, 3, 3, 3, 3, 4, 4, 2, 3, 3, 4, 5, 1, 4, 3, 3, 1, 4, 3, 4, 3, 5, 1, 2, 3, 1, 5, 1, 3, 3, 1, 2], "763": [4, 5, 4, 5, 5, 2, 4, 4, 4, 4, 2, 3, 3, 5, 2, 4, 5, 4], "4675": [3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 2, 5, 3, 4, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 3, 3, 4, 3, 5, 2, 3, 3, 4, 4, 3, 2, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 1, 3, 4, 5, 5, 5, 3, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 2, 3, 5, 4, 2, 3, 4, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 2, 3, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 4, 3, 3, 4, 3, 5, 3, 4, 1, 3, 5, 3, 3, 3, 4, 3, 3, 5, 2, 4, 3, 4, 3, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 4, 4, 3, 5, 3, 3, 4, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 3, 4, 4, 5, 3, 4, 5, 3, 5, 3, 4, 4, 5, 4, 5, 4, 3, 4, 2, 5, 3, 2, 3, 4, 4, 3, 4, 3, 5, 2, 4, 3, 5, 3, 4, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 2, 2, 5, 5, 5, 4, 3, 3, 4], "3905": [5, 5, 2, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 5, 3, 3, 2, 3, 2, 5, 5, 4, 4, 5, 3, 5, 3, 3, 3, 2, 1, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 5, 2, 4, 3, 4, 4, 5, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4], "744": [5, 2, 4, 2, 2, 4, 2, 3, 3, 3, 2, 4, 4, 5, 4, 1, 4, 1, 3, 4, 4, 5, 3, 2, 2, 2, 1, 1, 4, 3, 4, 4, 4, 5, 2, 5, 4, 2, 5, 2, 4, 4, 3, 2, 2, 3, 4, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 3, 2, 5, 2, 5, 1, 3, 3, 2, 2, 1, 1, 3, 3, 5, 1, 2, 5, 3, 1, 2, 5, 2, 3, 1, 2, 5, 5, 2, 1, 3, 3, 5, 5, 3, 4, 4, 3, 1, 4, 1, 2, 5, 3, 3, 5, 3, 4, 1, 1, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 5, 3, 5, 3, 3, 5, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 2, 1, 5, 4, 4, 1, 4, 5, 4, 1, 3, 3, 3, 3, 3, 1, 3, 2, 2, 3, 2, 3, 4, 3, 3, 2, 5, 3, 3, 3, 3, 5, 4, 1, 4, 4, 4, 5, 3, 1, 4, 5, 3, 5, 4, 5, 2, 2, 2, 4, 2, 1, 3, 3, 2, 5, 2, 5, 3, 2, 5, 3, 3, 3, 5, 3, 3, 3, 4, 4, 5, 3, 4, 3, 2, 2, 5, 4, 5, 4, 5, 4, 1, 4, 5, 5, 5, 3, 4, 1, 1, 1, 5, 5, 4, 4, 4, 3, 2, 2, 1], "3683": [5, 2, 5, 3, 3, 1, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 1, 4, 2, 2, 4, 4, 4, 5, 3, 5, 4, 5, 2, 5, 5, 5, 5, 2, 4, 4, 3, 5, 5, 5, 4, 3, 1, 5, 3, 3, 3, 3, 5, 3, 4, 3, 4, 1, 3, 5, 5, 2, 5, 1, 3, 4, 2, 4, 1, 3, 2, 2, 1, 2, 5, 3, 4, 4, 5, 3, 2, 1, 3, 3, 2, 2, 4, 4, 3, 2, 1, 1, 3, 4, 4, 2, 5, 3, 3, 4, 4, 4, 2, 4, 5, 5, 2, 5, 3, 1, 3, 2, 1, 4, 3, 2, 2, 5, 4, 3, 3, 3, 4, 2, 3, 1, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 4, 3, 4, 4, 1, 5, 4, 5, 4, 1, 4, 5, 1, 2, 5, 2, 1, 4, 5, 2, 1, 3, 1, 3, 2, 4, 4, 3, 1, 2, 4, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 3, 3, 1, 4, 1, 2, 4, 3, 5, 3, 3, 1, 4, 4, 4, 1, 3, 4, 1, 2, 3, 3, 2, 1, 3, 4, 4, 5, 2, 3, 1, 4, 2, 3, 5, 4, 2, 3, 3, 1, 4, 4, 1, 5, 3, 5, 3, 3, 3, 2, 4, 5, 3, 4, 1, 2, 3, 4, 4, 1, 1, 1, 4, 1, 3, 3, 2, 2, 2, 5, 4, 4, 4, 5, 3, 5, 2, 1, 5, 5, 2, 4, 2, 4, 4, 2, 3, 1, 2, 2, 1, 3, 3, 5, 4, 5, 3, 4, 4, 1, 1, 3, 5, 4, 4, 3, 4, 1, 5, 5, 4, 1, 3, 3, 1, 1, 3, 3, 2, 3, 4, 5, 4, 3, 1, 4, 2, 2, 4, 1, 5, 4, 4, 5, 3, 5, 4, 4, 2, 3, 5, 4, 1, 5, 3, 5, 3, 5, 4, 5, 3, 2, 4, 2, 3, 3, 1, 4, 2, 4, 4, 3, 3, 2, 2, 4, 4, 1, 1, 3, 5, 3, 2, 1, 1, 3, 3, 1, 4, 1, 3, 1, 3, 4, 3, 4, 3, 4, 4, 1, 1, 1, 5, 2, 1, 1, 2, 2, 1, 4, 3, 3, 4, 2, 5, 5, 3, 3, 1, 1, 5, 2, 1, 3, 1, 1, 2, 5, 3, 3, 2, 5, 2, 2, 3, 2, 1, 2, 2, 2, 4, 2, 4, 1, 3, 5, 2, 4, 2, 4, 3, 2, 5, 5, 4, 4, 4, 5, 3, 4, 1, 3, 2, 1, 3, 5, 5, 5, 2, 5, 5, 5, 3, 4, 5, 3, 1, 3, 4, 1, 5, 5, 4, 1, 5, 3, 3, 1, 3, 4, 1, 5, 3, 2, 5, 4, 3, 5, 3, 2, 1, 3, 5, 5, 3, 3, 3, 5, 2, 3, 4, 5, 3], "5332": [5, 5, 5, 5, 2, 4, 3, 5, 5, 5, 5, 3, 5, 5, 3, 4, 3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5], "2267": [4, 1, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 2, 3, 4, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 3, 5, 5, 1, 5, 4, 4, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 3, 4, 2, 4, 4, 4, 5, 4, 5, 3], "3645": [1, 5, 3, 5, 2, 4, 5, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 1, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 5, 3, 5, 4, 2, 3, 1, 1, 5, 4, 5, 4, 3, 5, 5, 5, 3, 2, 2, 4, 4, 4, 1, 4, 5, 5, 4, 3, 4, 5], "1062": [4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5], "3137": [4, 4, 5, 5, 5, 5, 2, 2, 1, 1, 4, 5, 4, 3, 1], "5940": [3, 4, 4, 5, 4, 4, 3], "3515": [5, 5, 5, 4, 5, 2, 2, 4, 2, 5, 5, 5, 4, 4, 3, 5, 3, 5, 5, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 5, 3, 3, 3, 4, 3, 5, 3, 5, 5, 3, 2, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 3, 2, 5, 3, 2, 4, 3, 5, 5, 3, 4, 5, 3, 2, 5, 5, 3, 5, 3, 4, 5, 3, 2, 4, 2, 3, 4, 5, 5, 3, 4, 3, 4, 5, 3], "491": [5, 3, 2, 5, 5, 3, 5, 1, 1, 4, 3, 5, 3, 3, 2, 1, 5], "893": [4, 4, 1, 3, 3, 3, 5, 2, 3, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 5, 2, 3, 3, 3, 5, 2, 5, 4], "5785": [4, 5, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 2, 3, 5, 4, 4, 5], "5123": [3, 3, 2, 3, 3, 2, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 1, 2, 4, 5, 5, 4, 3, 2, 3, 4, 4, 4, 3, 2, 4, 2, 4], "1557": [5, 4, 4, 5, 5, 2, 5, 5, 5, 1, 1, 5, 4, 2, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 1, 5, 4, 4, 5, 4, 3, 4, 5, 2, 5, 4, 2, 5, 5, 4, 1, 5, 3, 5, 5, 5, 4, 5], "2157": [1, 1, 5, 5, 5, 3, 4, 3, 3, 1, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 3, 1, 1, 3, 3, 3, 4, 4, 1, 3, 4, 5, 5, 4, 5, 5, 5, 2, 5, 5, 3, 3, 1, 5, 4, 1, 2, 1, 3, 5, 2, 3, 4, 5, 5, 5, 3, 4, 5, 1, 1, 4, 5, 5, 2, 3, 3, 3, 1, 3, 2, 5, 4, 4, 4, 1, 1, 4, 5, 2, 4, 4, 3, 4, 5, 1, 1, 2, 4, 4, 4, 5, 5, 4, 3, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 2, 5, 1, 4, 3, 3], "5229": [5, 5, 5, 3, 5, 5, 2, 4, 5, 5, 3, 5, 3, 5, 4, 3, 2, 5, 5, 5, 4, 5, 5, 3, 5, 4], "3276": [4, 3, 3, 3, 1, 3, 4, 1, 4, 3, 3, 5, 2, 3, 1, 2, 5, 4, 5, 2, 3, 2, 2], "4861": [4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 1, 3, 2, 4, 2, 2, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 2, 3, 3, 5, 2, 5, 5, 5, 5, 4, 5, 1, 5, 5, 5, 4, 5, 4, 2, 5, 5, 4, 3, 5, 3, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 2, 4, 1, 3, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 2, 4, 5, 5, 3, 4, 2, 4, 1, 5, 1, 5, 3, 4, 4, 5, 3, 2, 4, 4, 5, 5, 3, 5, 3, 5, 5, 4, 5], "4635": [4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 3, 2, 3, 4, 3, 4, 3, 4, 2, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 2, 4, 3, 3, 5, 3, 3, 2, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 4, 4, 1, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3], "2164": [3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 2, 3, 3, 3, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 2, 4, 5, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 5, 3, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 2, 3, 2, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 2, 5, 4, 3, 3, 2, 1, 5, 4, 2, 4, 3, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 3, 3, 4, 5, 3, 4, 4, 4, 2, 3, 5, 4, 4, 3, 5, 4, 4, 4, 5, 2, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 1, 3, 4, 4, 4, 4, 5, 4, 5, 2, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 2, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4], "2141": [2, 4, 5, 4, 4, 5, 5, 3, 5, 2, 5, 3, 5, 5, 5, 2, 4, 5, 5, 5, 5], "965": [5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 2, 4, 2, 4, 2, 5, 5, 5, 4, 5, 5, 2, 5, 1, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 5, 3, 5, 4, 4, 4], "3890": [5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 3, 2, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 5, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5], "5376": [4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 2, 2, 3, 2, 2, 3, 2, 3, 4, 3, 3, 3, 5, 2, 4, 4, 4, 3, 5, 2, 5, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 5, 4, 5, 5, 5, 5, 3, 4, 4, 2, 4, 3, 2, 2, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 2, 5, 4, 5, 3, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 4, 5, 3, 5, 3, 2, 4, 3, 5, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 1, 4, 4, 3, 4, 5, 4, 4, 5, 3, 5, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 2, 4, 4, 4, 3, 5, 5, 4, 4, 5, 3, 4, 3, 5, 5, 3, 4, 5, 2], "2608": [4, 3, 3, 5, 5, 5, 4, 5, 5, 3, 3, 3, 4, 5, 3, 4, 5, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 2, 3, 5, 5, 4, 3, 4, 5, 5, 4, 3, 5, 5, 2, 5, 4, 4, 3, 3, 3, 4, 3, 4, 2, 5, 5, 3, 5, 5, 2, 5, 4, 5, 3, 5, 5, 5, 4, 5, 2, 5, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 5, 5, 5, 3, 4, 4, 4, 5, 1, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 3, 5, 3, 3, 5, 5, 5, 3, 5, 4, 2, 5, 3, 5, 5, 5, 4, 5, 1, 3, 2, 5, 4, 3, 4, 4, 3, 3, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 1, 5], "5241": [3, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 1, 5, 4, 2, 5, 1, 4, 1, 1, 4, 5, 1, 5, 3, 1, 5, 3, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 1, 5, 3, 1, 1, 5, 5, 3, 5, 1, 5, 5, 1, 5, 5, 5, 4, 1, 2, 3, 4, 1, 4, 5, 5, 5], "5735": [5, 5, 3, 3, 5, 2, 2, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 3, 4], "464": [4, 4, 1, 5, 5, 3, 2, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 1, 3, 4, 4, 4, 3, 3, 5, 4, 3, 1, 4, 1, 3, 4, 3, 3, 5, 1, 4, 2, 4, 2, 4, 3, 3, 5, 4, 5, 2, 4, 5, 4, 5, 3, 4, 4], "1450": [2, 2, 3, 3, 4, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 1, 3, 3, 2, 4, 4, 5, 4, 3, 1, 1, 3, 3, 1, 4, 4, 4, 1, 3, 2, 5, 2, 1, 4, 5, 3, 4, 4, 3, 5, 4, 4, 2, 3, 4, 2, 3, 5, 5, 2, 2, 1, 2, 3, 2, 2], "3103": [4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 3, 3, 4, 2, 5, 5, 5, 5, 4, 5, 5], "3286": [4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 5, 2, 3, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5], "5633": [3, 3, 4, 3, 5, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 2, 3, 5, 4, 2, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4], "596": [3, 4, 3, 4, 1, 3, 4, 2, 3, 1, 3, 2, 4, 4, 3, 4, 5, 3, 5, 4, 3, 5, 1, 5], "2358": [5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3], "2167": [1, 1, 3, 1, 1, 2, 1, 2, 2, 1, 3, 2, 3, 2, 1, 5, 2, 1, 1, 1, 5, 3, 1, 1, 3, 1, 1, 4, 2, 3, 1, 2, 5, 2, 4, 3, 2, 2, 2, 1, 5, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 5, 4, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 5, 3, 1, 2, 2, 2, 2, 2, 1, 5, 4, 5, 5, 5, 5, 2, 2, 4, 4, 2, 4, 2, 4, 2, 3, 5, 3, 1, 1, 2, 2, 1, 1, 4, 1, 1, 1, 3, 2, 3, 5, 2, 5, 1, 5, 5, 1, 2, 1, 1, 1, 2, 1, 2, 5, 4, 1, 5, 5, 4, 3, 1, 1, 4, 5, 1, 1, 4, 1, 5, 4, 3, 1, 2, 5, 4, 3, 5, 3, 3, 3, 2, 3, 4, 5, 4, 3, 1, 1, 4, 1, 1, 5, 3, 5, 2, 4, 1, 1, 1, 4, 2, 3, 2, 2, 2, 5, 2, 5, 1, 1, 2, 2, 3, 1, 5, 1, 3, 2], "2566": [3, 3, 3, 3, 4, 3, 4, 5, 4, 2, 3, 5, 3, 4, 3, 4, 3, 4, 5, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 5, 3, 4, 2, 4, 4, 2, 2, 3, 3, 3, 5, 4, 4, 3, 4, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 2, 4, 4, 4, 4, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 5, 3, 3, 3, 4, 2, 3, 3, 2, 4, 2, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 2, 2, 2, 4, 5, 3, 3, 1, 3, 3, 4, 3, 1, 1, 2, 4, 2, 4, 4, 2, 3, 3, 2, 2, 2, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 2, 5, 4, 3, 3, 3, 3, 1, 5, 3, 3, 3, 4, 4, 3, 5, 3, 5, 4, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 2, 5, 4, 4, 3, 3, 3, 2, 2, 3, 3, 3, 4, 4, 3, 3, 5, 4, 1, 5, 4, 3, 4, 4, 1, 5], "3978": [5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 2, 3, 5, 5, 4, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4], "2892": [5, 4, 3, 5, 3, 2, 5, 5, 3, 5, 5, 5, 5, 1, 2, 1, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 4, 3, 3, 3, 3, 2, 5, 2, 2, 4, 2, 5, 5, 5, 1, 3, 5, 5, 1, 5, 4, 4, 4, 5, 3, 4, 3, 4, 1, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 2, 5, 3, 4, 5], "1939": [4, 4, 4, 4, 4, 5, 4, 2, 3, 4, 3, 1, 3, 3, 4, 4, 5, 4, 5, 4, 3, 2, 3, 5, 3, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 2, 3, 2, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 3, 5, 5, 3, 3, 2, 3, 4, 4, 3, 5, 4, 3, 5, 3, 1, 5, 4, 1, 4, 5, 4, 5, 4, 2, 2, 3, 2, 4, 3, 5, 4, 3, 3, 4, 5, 4, 5, 2, 5, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 5, 3, 4, 4, 3, 5, 3, 3, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 2, 5, 3, 3, 3, 4, 5, 3, 2, 4, 3, 4, 5, 4, 2, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 1, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5], "1615": [5, 2, 3, 3, 2, 3, 2], "5233": [4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4], "3577": [5, 4, 5, 5, 1, 5, 4, 3, 5, 5, 3, 4, 1, 4, 4, 3, 5, 3, 3, 5, 3, 5, 5, 5, 5, 3, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 4, 3, 4, 5, 1, 4, 3, 2, 3, 3, 5, 4, 4, 3, 5, 4, 2], "5248": [5, 5, 5, 2, 5, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 3, 2, 4, 4, 5, 3, 5, 3, 4, 2, 4, 5, 4, 3, 1, 5, 4, 5, 3, 3, 3, 3, 1, 2, 3, 3, 2, 4, 3, 5, 3, 4, 3, 1, 5, 4, 4, 1, 3, 4, 5, 3, 5, 5, 4, 2, 4, 2, 3, 3, 4, 4, 2, 3, 5, 3, 4, 2, 1, 3, 5, 4], "3329": [4, 3, 5, 5, 3, 4, 5, 5, 3, 4, 3, 5, 2, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 5, 5, 5, 3, 3, 3, 5, 4, 2, 4, 4, 4, 1, 5, 5, 4, 5, 3, 4, 5, 3, 5, 3, 3, 4, 4, 2, 4, 2, 2, 3, 2, 3, 3, 5, 4, 1, 4, 3, 3, 4, 4, 5, 2, 4, 3, 3, 3, 2, 4, 2, 4, 5, 5, 3, 2, 3, 3, 3, 4, 4, 2, 3, 3, 5, 4, 4, 3, 3, 3, 2, 5, 5, 4, 4, 4, 4, 4, 2, 2, 5, 3, 3, 5, 3, 5, 2, 3, 2, 4, 1, 3, 5, 3, 4, 3], "1215": [4, 1, 3, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 2, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 2, 2, 4, 3, 3, 1, 4, 5, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 3, 5, 4, 3, 3, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 3], "1267": [3, 5, 5, 4, 5, 2, 4, 2, 5, 5, 2, 4, 4, 3, 3, 5, 5, 4, 4, 3, 2, 4, 5, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 5, 2, 2, 3, 3, 4, 4, 5, 3, 2, 3, 4, 3, 1, 5, 5, 5, 2, 5, 4, 4, 3, 1, 2, 5, 3, 3, 3, 5, 1, 5, 5, 3, 3, 5, 5, 2, 5, 3, 1, 3, 3, 4, 5, 3, 3, 2, 4, 3, 4, 3, 3, 3, 2, 2, 2, 1, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 5, 5, 2, 4, 4, 4, 3, 5, 2, 3, 3, 3, 3, 5, 5, 2, 5, 5, 3, 4, 4, 5, 2, 5, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 5, 4, 2], "5282": [3, 3, 3, 3, 2, 4, 3, 5, 1, 2, 1, 4, 5, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 5, 2, 4, 4, 4, 1, 5, 4, 3, 2, 4, 3, 3, 4, 3, 2, 3, 4, 2, 2, 4, 1, 4, 2, 2, 1, 3, 2, 3, 3, 5, 2, 2, 4, 4, 4, 3, 1, 1, 4, 4, 4, 4, 3, 1, 3, 3, 1, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 3, 4, 1, 3, 5, 4, 4, 4, 2, 5, 2, 3, 1, 3, 2, 2, 1, 3, 3, 1, 3, 5, 4, 3, 5, 3, 5, 2, 4, 2, 3, 2, 4, 2, 4, 4, 2, 4, 4, 4, 2, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 2, 5, 5, 5, 2, 5, 2, 4, 1, 1, 2, 4, 3, 2, 1, 3, 1, 3, 4, 2, 2, 1, 2, 5, 5, 2, 4, 1, 2, 4, 3, 4, 4, 4, 3, 1, 4, 3, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5, 4, 2, 4, 1, 1, 3, 3, 4, 1, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 1, 4, 4, 2, 4, 1, 4, 3, 4, 5, 5, 3, 1, 3, 4, 2, 3], "4650": [2, 4, 4, 4, 3, 3, 5, 3, 4, 3, 5, 2, 1, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 1, 3, 4, 4, 3, 1, 1, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 4, 4, 4, 4, 4, 2, 5, 3, 4, 3, 3, 1, 2, 4, 1, 1, 4, 3, 3, 3, 4, 1, 4, 4, 4, 1, 4, 3, 4, 1, 3, 4, 2, 3, 1, 1, 2, 1, 4, 4, 4, 3, 1, 4, 3, 3, 4, 2, 5, 1, 4, 3, 4, 2, 3, 2, 2, 2, 3, 3, 4, 2, 2, 5, 4, 4, 3, 3, 1, 2, 4, 4, 4, 3, 3], "2054": [4, 4, 2, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 2, 4, 3, 3, 4, 5, 4, 3, 2, 2, 5, 3, 3, 4, 5, 4, 3, 4, 2, 4, 2, 5, 3, 5, 3, 1, 3, 2, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 2, 5, 4, 5, 2, 3, 2, 4, 3, 3, 4, 2, 4, 4, 3, 2, 4, 3, 5, 2, 5, 4, 3, 1, 4, 5, 3, 4, 3, 4, 2, 2, 4, 4, 1, 5, 2, 3, 3, 2, 4, 2, 4, 1, 4, 5, 4, 2, 5, 4, 4, 3, 5, 4, 2, 4, 3, 2, 3, 5, 3, 3, 5, 3, 4, 3, 5, 2, 2, 4, 4, 4, 4, 5, 3, 5, 1, 5, 4, 3, 2, 4, 3, 5, 3, 3, 3, 3, 2, 4, 3, 5, 2, 4, 3, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 4, 3, 3, 5, 1, 2, 3, 4, 4, 4, 5, 3, 3, 4, 3, 1, 2, 3, 2, 5, 2, 2, 5, 3, 4, 1, 4, 3, 3, 5, 5, 3, 1, 3, 5, 3, 2, 3, 4, 1, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 1, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 4, 5, 3, 5, 5, 3, 4, 2, 4, 1, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 4, 5], "3414": [5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 3, 3, 5, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 5, 3, 4, 3, 5, 1, 1, 1, 1, 5, 4, 4, 5, 5, 4, 1, 3, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 3, 1, 3, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 2, 4, 4, 1, 4, 4, 3, 5, 4, 3, 5, 5, 5, 3, 5, 5, 4, 4, 4, 2, 5, 4, 2, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3], "1981": [4, 3, 3, 2, 2, 3, 1, 5, 4, 5, 1, 3, 3, 4, 5, 3, 5, 4, 5, 5, 2, 1, 2, 1, 5, 2, 2, 3, 2, 5, 3, 3, 5, 4, 3, 5, 4, 4, 1, 2, 1, 5, 2, 1, 4, 1, 5, 5, 2, 2, 1, 2], "3055": [4, 3, 4, 4, 4, 4, 4, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4, 3, 2, 4, 2, 3, 5, 4, 4, 4, 1, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 4, 4, 1, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 1, 3, 4, 3, 3, 5, 5, 3, 4, 4, 2, 3, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 2, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 2, 3, 3, 4, 1, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 1, 3, 4, 3, 3, 3, 4, 1, 4, 4, 4, 3, 5, 4, 2, 4, 4, 2, 5, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 1, 4, 3, 5, 3, 4, 3, 2, 5, 4, 3, 4, 4, 3, 4, 4, 5, 3, 2, 3, 4, 4, 3, 4, 1, 4, 3, 3, 3, 5, 5, 3, 3, 4, 2, 4, 2, 4, 3, 4, 3, 4], "5435": [4, 5, 2, 3, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5], "4325": [3, 3, 2, 3, 4, 3, 3, 3], "385": [3, 5, 5, 4, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 2, 3, 4, 3, 3, 5, 3, 1, 3, 5, 3, 5, 1, 5, 5, 1, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 2, 4, 4, 5, 3, 3, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3], "3499": [2, 4, 1, 4, 3, 5, 4, 5, 3, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 4, 3, 4, 3, 1, 5, 2, 5, 1, 5, 5, 3, 4, 1, 1, 3, 3, 1, 5, 1, 5, 3, 5, 3, 5, 3, 2, 3, 2, 4, 1, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 2, 4, 3, 1, 5, 5, 4, 1, 5, 4, 3, 4, 1, 4, 3, 3, 4, 2, 5, 5, 5, 4, 2, 2, 4, 5, 1, 4, 2, 3, 1, 4, 4, 5, 3, 4, 1, 4, 5, 4, 5, 1, 4, 3, 2, 1, 4, 4, 1, 5, 4, 3, 2, 1, 5, 4, 4, 5, 1, 4, 1, 1, 5, 2, 3, 5, 4, 1, 3, 4, 2, 4, 5, 4, 3, 4, 4, 2, 5, 5, 3, 2, 4, 4, 5, 3, 2, 5, 1, 2, 4, 3, 1, 4, 4, 2, 2, 4, 2, 3, 2, 4, 3, 2, 4, 4, 2, 2, 3, 3, 4, 1, 4, 3, 4, 3, 3, 2, 4, 5, 1, 5, 4, 4, 5, 5, 5, 4, 3, 2, 3, 4, 4, 4, 5, 1, 3, 4, 1, 4, 1, 1, 4, 4, 4, 3, 5, 5, 5, 2, 2, 1, 3, 4, 5, 1, 3, 4, 1, 5, 2, 4, 4, 5, 5, 4, 4, 4, 1, 4, 4, 5, 1, 1, 2, 4, 4, 2, 2, 4, 4, 4, 1, 2, 1, 4, 5, 1, 4, 5, 5, 3, 5, 5, 4, 4, 4, 3, 1, 1, 4, 4, 3, 4, 5, 4, 4, 4, 2, 5, 2, 4, 4, 4, 1, 5, 5, 3, 2, 5, 4, 2, 4, 5, 3, 5, 1, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 1, 4, 4, 3, 4, 4, 4, 3, 3, 4, 2, 4, 5, 3, 5, 2, 4, 4, 2, 4, 4, 1, 4, 5, 3, 4, 3, 1, 4, 5, 2, 3, 4, 4, 5, 4, 5, 4, 3, 4, 2, 3, 4, 2, 4, 3, 3, 5, 5, 4, 4, 5, 5, 3, 4, 5, 5, 4, 2, 5, 2, 2, 5, 5, 2, 5, 4, 5, 4, 3, 4, 5, 2, 3, 3, 2, 4, 1, 4, 5, 3, 4, 3, 2, 5], "344": [2, 4, 3, 5, 4, 4, 4, 5, 1, 1, 1, 1, 3, 1, 4, 4, 3, 3, 4, 4, 2, 2, 4, 1, 4, 5, 4, 4, 4, 3, 2, 3, 3, 5, 5, 3, 3, 4, 2, 1, 1, 1, 1, 1, 5, 1, 4, 3, 4, 5, 3, 4, 1, 4, 4, 4, 3, 3, 2, 1, 5, 5, 2, 4], "140": [1, 1, 3, 3, 3, 5, 5, 2, 4, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 3, 2, 3, 3, 4, 4, 3, 2, 3, 4, 4, 3, 3, 5, 5], "888": [2, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 4, 2, 3, 4, 3, 3, 4, 2, 3, 4, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 3, 2, 4, 4, 2, 5, 5, 4, 4, 3, 3, 2, 4, 4], "674": [4, 4, 4, 2, 2, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 2, 5, 2, 5, 5, 4, 5, 5, 3, 4, 2, 5, 5, 3, 2, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5], "956": [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 2, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4], "1956": [4, 5, 4, 4, 5, 1, 4, 1, 2, 3, 4, 1, 3, 3, 2, 4, 5, 2, 2, 1, 4, 2, 4, 3, 3, 4, 4, 1, 5, 5, 2, 4, 1, 2, 4, 5, 1, 5, 1], "742": [5, 3, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 2, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 5, 5, 3, 3], "5853": [1, 1, 4, 3, 2, 2, 3, 4, 4, 2, 3, 3, 5, 2, 5, 3, 3, 3, 4, 4, 1, 5, 5, 4, 4, 5, 4, 4, 2, 3, 4, 5, 3, 5, 4, 5, 5, 5, 4, 2, 5, 2, 4, 5, 3, 3, 3, 2, 2, 1, 3, 4, 3, 3, 4, 2, 5, 5, 5, 3, 5, 2, 5, 3, 2, 3, 5, 4, 5, 5, 2, 5, 5, 3, 5, 5, 5, 2, 5, 5, 4, 4, 5, 5, 5, 5, 1, 2, 5, 5, 5, 2, 1, 1, 5, 3, 3, 3, 2, 4, 2, 3, 5, 4, 3, 4, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 1, 5, 3, 3, 3, 4, 3, 2, 2, 3, 4, 5, 3, 2, 5, 4, 2, 2, 2, 4, 4, 2, 3, 3], "2487": [4, 3, 4, 2, 4, 5, 4, 2, 3, 4, 2, 5, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4], "2724": [5, 3, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 2, 3, 5, 3, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 3, 5, 2, 4, 4, 4, 2, 4, 5, 3, 5, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 2, 3, 4, 4, 4, 5, 5, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 2, 5, 4, 1, 3, 5, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 5, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 4, 4, 5, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 5, 3, 4, 4, 3, 2, 4, 2, 4, 5, 4, 4, 3, 4, 4], "4041": [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 4, 3, 1, 5, 3, 3, 4, 1, 4, 5, 4, 4, 4, 2, 5, 4, 4, 5, 3, 5, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 3, 5, 2, 4, 3, 2, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 5, 2, 3, 4, 4, 5, 3, 2, 3, 2, 3, 4, 5, 2, 3, 5, 2, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 5, 4, 4, 5, 3, 3, 4, 4, 2, 4, 3, 4, 3, 2, 4, 3, 5, 4, 3, 2, 2, 2, 3, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 3, 5, 2, 2, 5, 3, 2, 5, 4, 4, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 2, 5, 4, 2, 3, 4, 3, 5, 2, 3, 5, 3, 5, 4, 2, 4, 3, 2, 2, 3, 4, 3, 4, 3, 2, 3, 2, 3, 4, 5, 4, 4, 2, 2, 2, 2, 3, 3, 2, 4, 2, 2, 5, 3, 3, 2, 4, 5, 4, 3, 5, 3, 1, 4, 3, 4, 2, 3, 5, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 2, 5, 4, 4, 2, 5, 3, 2, 5, 3, 2, 4, 3, 4, 3, 3, 2, 3, 3, 2, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 5, 5, 3, 4, 2, 4, 4, 4, 2, 2, 3, 3, 2, 4, 2, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 4, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 2, 2, 3, 3, 4, 3, 4, 3, 2, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 5, 5, 3, 3, 1, 3, 3, 5, 3, 4, 3, 5, 4, 3, 3, 5, 5, 3, 5, 4, 4, 4, 5, 2, 5, 4, 5, 3, 5, 4, 4, 3, 5, 3, 5, 2, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 2, 1, 2, 3, 2, 4, 3, 2, 5, 5, 3, 5, 3, 5, 4, 3, 3, 5, 5, 2, 5, 2, 2, 2, 3, 3, 2, 3, 5, 4, 3, 3, 3, 3, 3, 5, 2, 2, 1, 4, 5, 4, 2, 2, 2, 2, 3, 3, 3, 2, 4, 5, 3, 5, 2, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 5, 5, 3, 5, 3, 4, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 5, 2, 4, 4, 2, 2, 3, 5, 5, 2, 4, 5, 2, 3, 4, 1, 3, 4, 4, 2, 2, 4, 3, 5, 2, 3, 2, 2, 3, 4, 3, 4, 2, 4, 2, 4, 4, 4, 3, 3, 3, 2, 2, 3, 1, 3, 4, 3, 4, 4, 2, 2, 4, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 3, 2, 5, 4, 3, 3, 5, 3, 2, 2, 4, 3, 4, 4, 2, 3, 3, 4, 3, 3, 5, 3, 5, 3, 3, 5, 5, 2, 3, 2, 3, 2, 5, 5, 1, 3, 2, 3, 2, 2, 4, 4, 5, 4, 3, 2, 3, 3, 3, 4, 4, 2, 4, 2, 2, 2, 5, 2, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 4, 4, 4, 4, 3, 4, 4, 2, 3, 2, 4, 4, 4, 2, 3, 1, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 2, 2, 3, 4, 5, 3, 5, 4, 5, 5, 5, 4, 2, 3, 3, 3, 5, 3, 4, 2, 5, 3, 3, 2, 4, 2, 3, 4, 5, 5, 4, 5, 2, 4, 4, 3, 4, 3, 5, 4, 3, 3, 4, 2, 3, 5, 4, 2, 5, 4], "1426": [4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 3, 2, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 4, 2, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 4, 1, 5, 4, 3, 3, 3, 4, 5, 4, 5, 5, 2, 5, 3, 2, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 4, 3, 3, 2, 1, 4, 5, 3, 3, 2, 4, 3, 2, 3, 3, 4, 5, 2, 3, 3, 3, 4, 1, 3, 3, 2, 4, 4, 4, 3, 2, 3, 4, 4, 1, 1, 3, 4, 3, 5, 2, 2, 4, 4, 3, 5, 5, 5, 3, 4, 3, 2, 1, 5, 2, 2, 2, 4, 3, 5, 2, 4, 5, 3, 4, 4, 3, 5, 3, 5, 5, 2, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 2, 2, 4, 3, 4, 3, 3, 3, 3, 5, 5, 4, 2, 4, 4, 3, 2, 2, 1, 3, 3, 5, 4, 4, 4, 4, 5, 5, 3, 2, 3, 5, 2, 3, 4, 2, 4, 1, 4, 3, 4, 1, 3, 4, 4, 3, 4, 5, 4, 2, 3, 3, 3, 4, 3, 4, 2, 1, 4, 4, 5, 2, 3, 4, 3, 4, 3, 2, 4, 2, 3, 2, 5, 4, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 5, 1, 3, 5, 4, 3, 5, 3, 4, 4, 5, 5, 1, 3, 3, 5, 4, 4, 3, 3, 2, 4, 5, 3, 5, 3, 3, 3, 5, 3, 4, 4, 5, 4, 5, 4, 5, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 3, 1, 4, 5, 2, 3, 2, 2, 4, 5, 2, 4, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 5], "2444": [4, 2, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 5, 3, 4, 4, 1, 3, 2, 2, 1, 4, 3, 4, 4, 4, 4, 1, 3, 1, 2, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 1, 3, 5, 3, 4, 4, 3, 1, 5, 3, 4, 4, 5, 3, 3, 3, 3, 2, 1, 2, 4, 3, 2, 1, 1, 4, 3, 4, 5, 3, 3, 4, 4, 5, 4, 2, 4, 2, 5, 4, 5], "4567": [4, 4, 2, 5, 2, 4, 5, 5, 3, 5, 1, 5, 4, 5, 4, 4, 3, 2, 5, 4, 4, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5], "2161": [2, 4, 5, 3, 4, 2, 2, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 2, 4, 3, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 2, 2, 3, 3, 4, 4, 2, 2, 4, 5, 5, 1, 3, 3, 5, 3, 3, 5, 3, 2, 4, 2, 5, 3, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 2, 4, 5, 5, 2, 3], "5653": [5, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 5, 5, 3, 5, 3, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 3, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 2, 4, 4, 4, 2, 4, 5, 4, 4, 4], "967": [4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 2, 3, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 1, 4, 3, 3, 4, 5, 4, 5, 4, 3, 3, 3, 4, 3, 3, 2, 5, 3, 3, 4, 3, 4], "4319": [4, 5, 5, 4, 3, 3, 4, 5, 4, 3, 3, 4, 3, 2, 1, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 5, 5, 5], "5675": [4, 5, 3, 3, 3, 4, 5, 4, 4, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 2, 5, 4, 5, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 4, 2, 5, 5, 3, 5, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 4, 3, 4, 1, 5, 4, 5, 5, 4, 3, 4, 3, 2, 4, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 5, 3, 3, 4, 3, 3, 5, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 4, 4, 2, 5, 3, 4, 3, 3, 5, 5, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 2, 3, 4, 5, 4, 4, 5, 5, 2, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 2, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 1, 2, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 5, 5, 2, 4, 5, 3, 3, 3, 5, 3, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 3, 1, 4, 4, 4, 5, 4, 3, 3, 2, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 5, 3, 4, 3, 4, 2, 4, 5, 4, 4, 4, 4, 2, 5, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4], "852": [4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 3, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 2, 4, 3, 5], "4933": [4, 1, 5, 4, 4, 4, 1, 4, 4, 2, 5, 5, 2, 4, 5, 5, 3, 5, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 4, 3, 3, 4, 5, 4, 4, 4, 2, 5, 2, 5, 3, 3, 4, 5, 5, 5, 4, 5, 3, 4, 3, 5, 5, 3, 3, 2, 3, 5, 5, 5, 5, 3, 5, 3, 1, 3, 4, 3, 4, 1, 2, 4, 4, 5, 3, 4, 3, 3, 3, 1, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 2, 4, 2, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 3, 4, 4, 4, 4, 1, 3, 5, 5, 4, 5, 3, 4, 1, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 4, 5, 5, 3, 4, 2, 4, 3, 4, 2, 2, 5, 3, 2, 4, 4, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 4, 2, 5, 1, 4, 4, 1, 5, 1, 5, 3, 2, 2, 4, 3, 3, 4, 2, 2, 4, 4, 4, 3, 2, 2, 3, 3, 3, 1, 1, 5, 3, 4, 4, 1, 1, 2, 4, 2, 5, 4, 5, 4, 4, 5, 4, 4, 3, 2, 4, 5, 2, 1, 5, 5, 3, 4, 4, 5, 5, 4, 5], "1368": [4, 5, 4, 5, 5, 4, 3, 5, 3, 5, 5, 3, 5, 4, 5, 2, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4], "2595": [2, 4, 3, 3, 4, 2, 4, 4, 5, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 2, 3, 2, 5, 3, 3, 3, 3, 3, 1, 4, 2, 5, 1, 3, 3, 5, 2, 4, 3, 1, 5, 3, 3, 3, 4, 2, 3, 3, 5, 3, 4, 4, 3, 4, 3, 1, 4, 4, 5, 2, 4, 4, 2, 2, 5, 3, 3, 4, 4, 3, 1, 5, 4, 2, 4, 5, 4, 3, 4, 2, 2, 4, 2, 3, 5, 2, 4, 4, 4, 3, 4, 3, 4, 2, 5, 2, 5, 3, 4, 5, 5, 5, 2, 2, 3, 3, 5, 3, 4], "774": [3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 5, 3, 3, 4, 4, 3, 1, 3, 3, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 4, 3, 5, 2, 3, 3, 5, 3, 3, 3, 5, 4, 4, 5, 3, 4, 3, 3, 3, 3, 3, 5, 5, 4, 5, 4, 3, 3, 3, 4, 3, 2, 4, 4, 3, 2, 4, 1, 1, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 1, 3, 2, 5, 2, 2, 2, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3], "1549": [3, 3, 4, 3, 4, 5, 4, 4, 2, 3, 3, 2, 5, 1, 4, 4, 4, 5], "2526": [3, 4, 5, 3, 5, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 5, 3, 5, 3, 4, 2, 4, 3, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 2, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 2, 4, 1, 4, 4, 2, 2, 5, 4, 5, 3, 5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 2, 4, 5, 3, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 4, 2, 2, 4, 4, 5, 3, 5, 4, 5, 3, 5, 3, 3, 3, 5, 4, 4, 5, 1, 4, 2, 5, 5, 4, 5, 3, 3, 5, 5, 4, 2, 2, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 2, 5, 4, 2, 2, 2, 2, 2, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 2, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 2, 5, 5, 4, 5, 2, 4, 5, 5, 5, 2, 3, 3, 2, 2, 4, 4, 4, 2, 2, 3, 3, 5, 4, 4, 1, 5, 5, 5, 5, 3, 4, 5, 2, 5, 5, 3, 5, 5, 4, 2, 3, 5, 5, 3, 5, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 3, 2, 2, 5, 3, 5, 4, 2, 5], "2574": [5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5], "3478": [1, 3, 5, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 5, 4, 5, 5, 5, 4, 4, 3, 3, 5, 3, 3, 2, 3, 2, 4, 5, 5, 5, 4, 3, 2, 4, 3, 2, 1, 3, 3, 4, 5, 2, 5, 2, 4, 2, 3, 1, 5, 3, 1, 2, 3, 2, 4, 5, 2, 5, 2, 3, 2, 2, 1, 5, 3, 4, 2, 5], "3537": [4, 5, 5, 4, 5, 2], "254": [4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 3], "3783": [4, 5, 4, 2, 5, 3, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 2], "5841": [4, 5, 5, 5, 4, 3, 2, 3, 5, 5, 4, 4, 1, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 3, 1, 5, 4, 4, 4, 5, 5, 1, 1, 5, 3, 5, 3, 3, 5, 3, 4, 4, 2, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 5, 3, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 2, 4, 5, 4, 1, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 3, 4, 1, 5, 5, 4, 5, 3, 3, 5, 1, 4, 2, 4, 5, 5, 2, 3, 3, 4, 4, 5, 5, 1, 4, 4, 1, 5, 3, 4, 3, 5, 5, 3, 5, 3, 4, 4, 5, 4, 1, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 2, 4, 3, 2, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 2, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 3, 4, 5, 3, 5, 4, 3, 5, 4], "5502": [3, 4, 3, 5, 5, 2, 5, 3, 3, 4, 3, 3, 4, 4, 3, 5, 1, 4, 5, 5, 2, 5, 4, 2, 5, 4, 4, 2, 1, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 5, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 2, 3, 3, 4, 4, 4, 5, 5, 3, 4], "1349": [4, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 2, 5, 5, 5], "5303": [4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 2, 5, 5, 5, 3, 5, 2, 3, 5, 3, 3, 5, 5, 5, 4, 2, 4, 5, 3, 4, 3, 4, 5, 3, 5, 4, 4, 4], "212": [4, 4, 4, 5, 2, 4, 5, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5], "2362": [5, 5, 2, 3, 5, 5, 4, 3, 4, 5, 2, 4, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 5, 2], "3191": [3, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 5, 4, 4, 5, 3, 3, 2, 5, 2, 2, 3, 3, 4, 4, 3, 4, 3, 3, 1, 4, 2, 5, 4, 2, 2, 1, 5, 2, 2, 3, 3, 2, 5, 4, 3, 1, 4, 2, 3, 3, 3, 4, 3, 1, 4, 3, 4, 1, 3, 4, 1, 2, 2, 3, 2, 4, 3, 2, 2, 2, 2, 3, 3, 3, 4, 3, 4, 2, 2, 2, 2, 5, 1, 2, 3, 2, 4, 3, 4, 3, 2, 3, 5, 2, 4, 3, 4, 4, 3, 2, 4, 3, 3, 1, 4, 2, 1, 2, 2, 3, 2, 4, 5, 3, 3, 2, 3, 4, 2, 2, 3, 4, 1, 4, 4, 5, 5, 5, 3, 4, 2, 3, 4, 2, 2, 2, 4, 4, 5, 2, 5, 4, 5, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 4, 1, 1, 2, 4, 1, 3, 4, 5, 4, 4, 4, 1, 3, 2, 3, 3, 4, 3, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 2, 2, 4, 2, 5, 1, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 4, 4, 3, 3, 4, 1, 5, 2, 3, 2, 3, 4, 5, 3, 3, 5, 1, 5, 3, 2, 2, 4, 3, 5, 4, 4, 5, 5, 3, 3, 2, 2, 1, 2, 4, 4, 3, 5, 5, 4, 2, 3, 1, 2, 5, 3, 3, 2, 4, 5, 4, 4, 2], "1810": [3, 2, 5, 5, 3, 4, 5, 2, 2, 5, 4, 5, 4, 2, 4, 3, 5, 4, 4, 3, 3, 5, 3, 2, 5, 4, 2, 4, 5, 4, 5, 4, 4, 3], "4433": [5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 2, 2, 5, 3, 1, 3, 5, 5, 4, 4, 5, 2, 3, 5, 3, 4, 2, 4, 3, 5, 4, 3, 4, 4, 1, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 2, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4, 5, 4, 3, 5, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5, 3, 5, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 5, 3, 5, 3, 5, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 5, 2, 5, 5, 4, 4, 3, 4, 3, 3, 4], "3225": [3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 5], "5708": [4, 3, 2, 4, 5, 2, 3, 3, 4, 3, 2, 5, 2, 5, 3, 3, 3, 4, 3, 3, 2, 3, 3, 1, 2, 3, 3, 4, 3, 1, 1, 3, 4, 3, 3, 3, 4, 2, 4, 3, 2, 3, 4, 4, 5, 3, 3, 5, 5, 4, 4, 1, 3, 4, 3, 3, 3, 2, 2, 2, 3, 3, 3, 4, 2, 4, 2, 2, 3, 2, 1, 2, 2, 4, 2, 4, 4, 3, 4, 2, 1, 3, 2, 5, 3, 4, 2, 5, 2, 3, 2], "3042": [2, 2, 4, 5, 5, 4, 3, 5, 5, 5, 3, 5, 4, 5, 3, 3, 5, 3, 3, 3, 2, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 3, 5, 4, 2, 3, 2, 5, 4, 5, 3, 4, 4, 3, 3, 3, 4, 4, 5, 2, 4, 4, 4, 5, 5, 5, 5, 4, 4], "2735": [5, 3, 4, 1, 4, 4, 4, 4], "2185": [4, 3, 4, 5, 3, 5, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 5, 5, 4, 2, 5, 3, 4, 5, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 2, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 2, 3, 5, 3, 4, 5, 5], "5678": [5, 5, 4, 4, 4, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 2, 4, 5, 3, 2, 2, 4, 4, 1, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 1, 3, 4, 4, 4, 2, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 1, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4], "1757": [3, 5, 5, 3, 5, 3, 5, 4, 3, 2, 4, 4, 4, 5, 4, 2, 5, 2, 5, 5, 3, 5, 4, 4, 3, 5, 5, 3, 3, 5, 3, 2, 5, 5, 5, 5, 3, 5, 5, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 2, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 1, 1, 5, 3, 2, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 1, 4, 4, 4, 1, 4, 2, 4, 3, 2, 1, 4, 3, 3, 5, 1, 4, 1, 5, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 1, 5, 1, 4, 4, 5, 5, 5, 2, 4, 5, 4, 1, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 3, 5, 4, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 1, 4, 5, 1, 2, 4, 5, 5, 4, 3, 5, 5, 1, 4, 4, 5, 2, 1, 4, 3, 2, 5, 5, 3, 4, 5, 2, 4, 4, 4, 4, 4, 3, 2, 1, 2, 3, 4, 1, 4, 1, 4, 3, 3, 4, 4, 5, 5, 4, 1, 1, 4, 4, 1, 2, 4, 3, 4, 4, 4, 3, 4, 1, 4, 2, 2, 4, 4, 4, 3, 4, 4, 5, 2, 2, 4, 3, 5, 3, 3, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 5, 2, 3, 5, 5, 4, 5, 5, 5, 2, 3, 5, 4, 4, 2, 5, 1, 5, 1, 4, 4, 5, 4, 3, 5, 5, 2, 5, 5, 1, 5, 3, 5, 4, 4, 5, 5, 4, 5, 2, 5, 4, 5, 4, 4, 2, 5, 5, 1, 3, 3, 5, 5, 5, 5, 5, 4, 4, 4, 2, 5], "3335": [4, 5, 3, 3, 5, 2, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4], "5818": [4, 2, 3, 4, 4, 2, 4, 5, 5, 3, 4, 4, 5, 4, 5, 3, 4], "5196": [4, 3, 4, 4, 2, 3, 4, 4, 3, 5, 1, 2, 4, 4, 2, 3, 4, 5, 2, 3, 4, 4, 1, 5, 3, 2, 4, 4, 2, 3, 4, 3, 1, 4, 1, 4, 4, 4, 3, 4, 4, 4, 5, 3, 2, 3, 1, 3, 4, 3, 1, 3, 3, 3, 4, 2, 4, 3], "5959": [3, 3, 3, 2, 2, 1, 1, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 1, 3, 4, 2, 4, 4, 2, 4, 4, 1, 5, 3, 3, 3, 3, 2, 3, 3, 5, 4, 2, 3, 4, 2, 2, 3, 1, 5, 4], "5886": [1, 2, 3, 4, 5, 4, 4, 2, 4, 5, 2, 4, 3, 5, 5, 4, 4, 3, 2, 2, 3, 5, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 5, 4, 2, 1, 3, 3, 1, 3, 3, 3, 3, 2, 2, 1, 4, 5, 5, 2, 2, 4, 2, 2, 1, 4, 3, 2, 4, 3, 3, 2, 4, 2, 2, 3, 4, 5, 3, 2, 1, 3, 3, 4, 1, 3, 3, 3, 2, 1, 3, 2, 4, 4, 4, 5, 2, 2, 5, 3, 2, 5, 4, 3, 3, 2, 3, 3, 4, 5, 2, 5, 2, 3, 3, 5, 4, 2, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 2, 3, 2, 3, 4, 2, 5, 3, 2, 3, 5, 4, 2, 3, 3, 3, 4, 4, 3, 2, 3, 4, 5, 3, 3, 3, 1, 3, 1, 5, 3, 3, 3, 3, 2, 3, 5, 2, 4, 4, 3, 5, 3, 3, 4, 3, 2, 5, 4, 4, 3, 4, 2, 2, 3, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 2, 5, 5, 2, 1, 5, 3, 2, 3, 5, 2, 2, 5, 3, 4, 3, 3, 5, 3, 2, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 2, 3, 3, 5, 5, 3, 2, 5, 4, 5, 3, 4, 2, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 2, 5, 1, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 2, 3, 4, 4, 3, 4, 2, 2, 2, 2, 3, 2, 4, 2, 3, 4, 4, 5, 5, 5, 4, 2, 3, 3, 2, 3, 3, 4, 1, 3, 2, 3, 2, 1, 1, 4, 3, 3, 2, 1, 4, 2, 4, 3, 2, 3, 4, 5, 4, 4, 3, 3, 4, 5, 2, 3, 3, 4, 2, 3, 1, 2, 4, 3, 2, 5, 3, 5, 3, 4, 4, 4, 3, 4, 1, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 1, 3, 2, 3, 3, 2, 2, 2, 1, 4, 2, 2, 2, 3, 4, 4, 5, 2, 3, 4, 4, 3, 3, 3, 4, 4, 2, 4, 2, 4, 3, 1, 2, 3, 3, 5, 4, 3, 3, 2, 1, 5, 4, 2, 2, 4, 3, 5, 5, 1, 4, 3, 5, 4, 5, 2, 3, 4, 2, 2, 4, 5], "5636": [3, 4, 4, 2, 2, 3, 4, 4, 3, 2, 4, 3, 1, 4, 3, 3, 4, 2, 3, 4, 2, 4, 2, 4, 5, 4, 3, 4, 3, 3, 5, 3, 2, 4, 3, 5, 5, 4, 1, 3, 5, 1, 1, 4, 1, 2, 4, 3, 4, 5, 4, 3, 3, 1, 4, 3, 2, 4, 4, 5, 4, 3, 2, 1, 3, 3, 3, 4, 4, 4, 2, 4, 2, 1, 3, 2, 2, 4, 4, 4, 4, 3, 3, 3, 2, 3, 1, 2, 1, 3, 5, 4, 1, 3, 3, 5, 3, 1, 2, 2, 4, 4, 4, 3, 3, 5, 3, 3, 4, 2, 1, 1, 2, 3, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 3, 5, 4, 1, 4, 1, 4, 3, 2, 4, 2, 2, 4, 5, 4, 2, 2, 3, 2, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 2, 3, 3, 4, 4, 2, 3, 2, 4, 5, 3, 3, 2, 4, 2, 2, 2, 5, 4, 4, 3, 3, 5, 4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 2, 2, 3, 3, 4, 3, 3, 3, 2, 3, 5, 4, 3, 4, 3, 3, 2, 4, 3, 1, 3, 3, 2, 5, 3, 3, 3, 3, 2, 4, 3, 1, 3, 2, 1, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 4, 4, 3, 3, 5, 2, 4, 2, 3, 4, 1, 2, 3, 3, 3, 4, 5, 4, 4, 5, 3, 3, 3, 2, 3, 4, 4, 3, 4, 4, 5, 3, 2, 3, 3, 2, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 1, 3, 2, 3, 4, 4, 3, 3, 2, 2, 2, 4, 4, 3, 3, 4, 1, 2, 4, 3, 5, 2, 3, 1, 1, 1, 4, 3, 5, 2, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 5, 3, 5, 2, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 3, 4, 3, 3, 3, 3, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 5, 5, 5, 5, 1, 5, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 1, 3, 3, 2, 4, 1, 3, 2, 3, 2, 2, 3, 3, 2, 5, 3, 3, 3, 5, 2, 4, 3, 3, 1, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 4, 2, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 3, 2, 3, 4, 1, 3, 3, 3, 1, 1, 3, 1, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 1, 2, 3, 1, 1, 3, 2, 2, 4, 3, 5, 5, 3, 4, 4, 3, 2, 4, 2, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 5, 2, 3, 4, 3, 2, 3, 2, 4, 3, 3, 3, 2, 1, 1, 4, 1, 4, 3, 5, 5, 3, 4, 5, 3, 3, 3, 4, 1, 3, 3, 3, 3, 3, 2, 4, 3, 1, 3, 2, 2, 1, 3, 3, 1, 1, 1, 5, 1, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 4, 2, 3, 2, 4, 4, 4, 1, 3, 4, 3, 5, 1, 1, 3, 3, 4, 2, 1, 2, 4, 2, 2, 2, 5, 3, 2, 1, 5, 2, 3, 2, 3, 4, 3, 3, 3, 1, 3, 1, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 5, 2, 5, 4, 2, 2, 2, 4, 2, 4, 4, 1, 3, 3, 2, 3, 3, 3, 3, 4, 1, 1, 5, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 5, 3, 4, 2, 4, 5, 3, 4, 3], "4247": [2, 3, 1, 1, 3, 4, 3, 3, 4, 3, 5, 3, 2, 3, 4, 5, 1, 1, 2, 3, 4, 4, 3, 3, 4, 2, 5, 1, 3, 4, 5, 4, 3, 4, 3, 3, 1, 4, 3, 4, 4, 4, 2, 3, 3, 5, 4, 5, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 2, 4, 3, 1, 4, 4], "3185": [5, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 2, 3, 3, 5, 5, 4, 5, 1, 2, 4, 5, 5, 5, 5, 4, 1, 3, 1, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 2, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5], "3241": [1, 4, 5, 5, 5, 5, 2, 5, 2, 2, 4, 5, 3, 4, 4, 2, 5, 2, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 5, 4, 4, 3, 2, 4, 4, 2, 5, 5, 5, 5, 5, 4, 5, 5], "1287": [5, 5, 3, 5, 3, 5, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 3, 5, 5, 5, 4, 4], "2767": [4, 3, 4, 4, 3, 4, 5, 4, 1, 2, 3, 2, 3, 5, 2, 5, 3, 4, 4, 2], "3541": [4, 3, 3, 5, 3, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 2, 5, 3, 5, 4], "1816": [5, 5, 4, 3, 5, 5, 4, 4, 2, 5, 4, 2, 2, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 4, 2, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 3, 4, 4, 4], "5775": [3, 1, 5, 2, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 3, 1, 4, 5, 5, 3, 4, 4, 4, 2, 3, 3, 3, 5, 3, 4, 2, 5, 5, 5, 5, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 5, 5, 5, 3, 4, 4, 2, 4, 3, 3, 2, 5, 5, 3, 2, 3, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 3, 5, 4, 2, 4, 3, 4, 4, 4, 5, 4, 4, 2, 3, 4, 3, 2, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 2, 5, 3, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4], "1014": [4, 5, 3, 4, 4, 2, 5, 3, 4, 5, 5, 1, 4, 2, 4, 4, 4, 5, 5, 5, 2, 3, 3, 3, 3, 2, 5, 2, 4, 3, 5], "3646": [5, 5, 3, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 3, 5, 4, 3, 4, 3, 3, 3, 3, 5, 5, 3, 4, 5, 5, 2, 4, 3, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4], "2894": [5, 5, 5, 3, 5, 5, 4, 4, 5, 1, 4, 4, 4, 4, 5, 1, 2, 5, 4, 5, 5, 5, 5, 5, 1, 4, 5, 5, 3, 5, 2, 3, 5, 5, 1, 5, 3, 4, 4, 4, 5, 2, 5, 2, 3, 5, 4, 3, 1, 2, 5, 4, 5, 5, 3, 1, 4, 5, 4, 5, 5, 3, 4, 2, 5, 5, 5, 5, 3, 5, 3, 4, 4, 5, 4, 5, 4, 4, 2, 5, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 1, 2, 3], "1524": [1, 1, 3, 5, 5, 5, 3, 5, 5, 2, 5, 4, 5, 5, 5, 1, 2, 5, 5, 5, 1, 3, 5, 5, 5, 5, 4, 3, 3, 4, 4, 3, 5, 2, 3, 2, 4, 5, 4, 3, 4, 5, 4, 5, 4, 4, 3, 2, 3, 2, 2, 5, 5, 4, 5, 2, 1, 2, 4, 5, 3, 2, 4, 5, 5, 5, 5, 4, 4, 5, 1, 5, 5, 1, 1, 5, 4, 4, 4, 5, 5, 5, 1, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 2, 4, 3, 4, 5, 5, 4, 5, 5, 4, 1, 2, 5, 5, 5, 3, 1, 5, 4, 3, 4, 1, 2, 1, 5, 3, 5, 1, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 5, 2, 4, 4, 2, 5, 5, 5, 5, 1, 4, 4, 4, 5], "1945": [3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 5, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 4, 3, 2, 4, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 4, 3, 2, 4, 3, 4, 4, 3, 4, 3], "638": [5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 2, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 1, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4], "4789": [3, 2, 3, 5, 4, 4, 3, 5, 4, 2, 3, 4, 2, 5, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 1, 2, 5, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 5, 4, 5, 5, 4, 4, 3, 1, 4, 5, 3, 4, 1, 5, 5, 4, 1, 3, 4, 3, 5, 2, 4, 4, 5, 3, 4, 5, 2, 4, 3, 4, 2, 4, 3, 4, 5, 4, 5, 5, 5, 5, 1, 4, 4, 1, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 2, 4, 3, 4, 2, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 3, 3, 3, 3, 4, 3, 2, 4, 4, 2, 2, 3, 5, 3, 3, 5, 4, 2, 2, 4, 4, 4, 2, 3, 3, 2, 3, 3, 2, 3, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 3, 3, 4, 2, 5, 1, 2, 3, 3, 3, 4, 2, 5, 4, 4, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 5, 2, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 2, 4, 4, 5, 3, 2, 5, 4, 3, 2, 3, 2, 3, 3, 1, 3, 2, 5, 4, 4], "2731": [4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 4, 4, 2, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 1, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 3, 2, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 2, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 5, 2, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 4, 5, 5, 5, 4, 4, 3, 5, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 4, 2, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 1, 4, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5], "723": [4, 4, 5, 3, 5, 4, 5], "1864": [3, 2, 2, 3, 1, 5, 5, 1, 3, 4, 4, 1, 3, 5, 5], "5377": [3, 5, 3, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 2, 4, 3, 3, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 2, 4, 3, 3, 4, 4, 5, 3, 3], "838": [3, 4, 4, 5, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 2, 4, 5, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 2, 4, 5, 3, 3, 4, 4, 2, 3, 3, 3, 2, 5, 3, 4, 4, 4, 4], "1002": [4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 2, 4, 3, 5, 4, 5, 3, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5], "3361": [5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 1, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 2, 3, 5, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 5, 5, 3, 2, 2, 4, 4, 5, 2, 5, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 5, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 2, 3, 4, 3, 4, 2, 4, 3, 3, 2, 3, 3, 4, 2, 3, 4, 4, 1, 5, 2, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 2, 3, 3, 4, 3, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 3, 5, 3, 4], "3105": [3, 3, 3, 5, 3, 5, 5, 4, 4, 5, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 3, 2, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3], "4452": [3, 5, 5, 4, 5, 3, 5, 2, 3, 3, 3, 3, 2, 4, 4, 5, 4, 4, 4, 5, 5, 1, 5, 4, 3, 3, 4, 1, 2, 3, 3, 3, 1, 5, 2, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 1, 3, 3, 5, 5, 5, 3, 5, 4, 3, 1, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 5, 2, 5, 5, 1, 4, 3, 4, 4, 5, 3, 5, 1, 4, 4, 4, 2, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 2, 5, 4, 1, 5, 4, 5, 3], "4849": [4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4], "1103": [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 2, 4, 4, 3, 2, 4, 1, 5, 4, 2, 3, 2, 5, 3, 4, 5, 5, 3, 3, 4, 4, 4, 3, 3, 3, 5, 2, 4, 3, 3, 5, 2, 4, 4, 5], "3743": [3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3], "206": [5, 1, 5, 1, 5, 3, 3, 1, 5, 1, 1, 2, 1, 4, 4, 5, 4, 2, 5, 5, 3, 5], "2981": [5, 2, 5, 4, 5, 5, 5, 1, 5, 2, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5], "1560": [3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 1, 4, 3, 5, 2, 2, 5, 2, 4, 3, 3, 4, 3, 4, 4, 5, 3, 5, 3, 3, 3, 4, 5, 4, 4, 5, 5, 2, 5, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 2, 4, 2, 5, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 1, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 5, 5, 3, 2, 4, 5, 4, 4, 5, 5, 4, 3, 1, 5, 4], "2421": [4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 3, 1, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 3, 3, 3, 4, 5, 5, 2, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5], "1104": [3, 5, 3, 2, 5, 4, 3, 3, 4, 4, 5, 3, 5, 3, 3, 5, 2, 4, 4, 4, 3, 5, 3, 3, 5, 3, 4, 3, 4, 4, 5, 5, 5, 5, 4], "1923": [2, 4, 5, 5, 1, 5, 2, 4, 3, 3, 5, 5, 3, 5, 4, 3, 5, 4, 5, 1, 4, 4, 2, 2, 2, 1, 3, 4, 4, 3, 3, 4, 4, 1, 2], "4689": [4, 4, 5, 5, 5, 3, 3, 5, 5, 3, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4], "892": [3, 3, 4, 4, 4, 5, 2, 3, 4, 5, 3, 5, 5, 5, 3, 3, 5, 4, 5, 5, 2, 4, 3, 3, 5, 4, 4, 5, 4, 5, 1, 5, 4, 4], "47": [4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 3, 5, 4, 3, 4, 4, 3, 4], "4802": [4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 2, 5, 5, 4, 2, 5, 5, 4, 2, 2, 2, 5, 2, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 2, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 2, 3, 5, 3, 5, 4, 5, 3, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 3, 2, 5, 4, 5, 4, 4, 2, 5, 5, 3, 2, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 4, 2, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 2, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 2, 4, 1, 5, 3, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 2, 4, 4, 2, 4, 2, 5, 5, 3, 5, 5, 4, 4, 5, 4, 2, 2, 2, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 3, 5, 5, 5, 3, 3, 4, 4, 2, 4, 5, 3, 5, 5, 3, 5, 2, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 5, 5, 5, 3, 3, 5, 2, 5, 4, 2, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 2, 1, 5, 3, 2, 2, 4, 4, 3, 5, 2, 4, 2, 5, 5, 4, 4, 4, 3, 2, 3, 5, 5, 4, 4, 3, 5, 5, 1, 5, 4, 5, 5, 3, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 2, 4, 2, 5, 3, 4, 5, 3, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 3, 2, 1, 4, 5, 2, 2, 4, 5, 3, 4, 5, 5, 5, 4, 3, 5, 4, 5, 1, 4, 4, 5, 3, 5, 4, 3, 5], "4312": [3, 3, 3, 4, 3, 4, 5, 4, 3, 4, 2, 3, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 2, 2, 3, 2, 1, 5, 5, 4, 2, 4, 4, 5, 3, 3, 3, 4, 4, 2, 2, 4, 4, 2, 2, 2, 3, 1, 4, 3, 3, 1, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 2, 4, 2, 4, 3, 2, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 2, 2, 4, 3, 3, 3, 2, 3, 2, 3, 2, 4, 3, 4, 2, 4, 1, 3, 4, 5, 3, 2, 4, 1, 4, 2, 2, 3, 5, 3, 5, 2, 5, 5, 4, 5, 3, 4, 4, 3, 4, 5, 5, 3, 3, 2, 4, 2, 4, 4, 2, 2, 2, 4, 4, 2, 5, 4, 3, 3, 3, 3, 4, 3, 2, 2, 2, 3, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 3, 3, 5, 4, 4, 4, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 2, 4, 4, 2, 4, 3, 3, 4, 4, 1, 3, 3, 2, 4, 3, 5, 3, 4, 5, 2, 2, 4, 3, 4, 2, 3, 3, 5, 4, 4, 2, 1, 5, 5, 3, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 1, 3, 5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 2, 3, 3, 3, 2, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 5, 4, 2, 5, 3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 2, 3, 3, 4, 3, 3, 3, 2, 2, 5, 3, 4, 3, 3, 5, 2, 1, 4, 3, 2, 2, 3, 4, 2, 4, 2, 3, 3, 5, 3, 2, 3, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 3, 4, 2, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 5, 3, 3, 4, 4, 3, 2, 3, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 5, 5, 5, 3, 5, 3, 5, 3, 4, 4, 4, 3, 2, 5, 4, 3, 5, 4, 2, 5, 1, 2, 3, 3, 5, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 3, 4, 5, 4, 4, 1, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 2, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 3, 2, 1, 4, 2, 4, 2, 4, 2, 3, 3, 4, 4, 3, 2, 2, 4, 2, 2, 3, 5, 5, 2, 4, 3, 4, 1, 3, 3, 4, 3, 4, 5, 3, 1, 4, 2, 1, 2, 3, 3, 5, 5, 5, 2, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 5, 2, 4, 2, 3, 4, 2, 4, 3, 4, 2, 2, 4, 3, 3, 4, 3, 2, 2, 2, 4, 2, 1, 3, 3, 3, 5, 3, 3, 5, 3, 4, 4, 1, 4, 3, 2, 2, 2, 3, 4, 4, 1, 2, 5, 4, 3, 3, 2, 4, 3, 3, 3, 3, 2, 3, 4, 1, 1, 1, 1, 5, 1, 4, 4, 1, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 2, 4, 4, 3, 1, 5, 2, 2, 4, 3, 2, 4, 3, 3, 2, 4, 3, 1, 2, 4, 4, 4, 5, 4, 2, 3, 3, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 5, 3, 3, 3, 3, 2, 3, 3, 4, 3, 4, 5, 4, 1, 3, 5, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 3, 2, 3, 2, 4, 2, 4, 3, 3, 5, 5, 4, 4, 3, 3, 4, 4, 2, 5], "747": [3, 4, 4, 3, 4, 3, 2, 2, 2, 4, 4, 4, 3, 4], "2046": [3, 3, 4, 2, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 2, 4, 2, 4, 2, 4, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 2, 5, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 3, 1, 1, 5, 1, 1, 2, 3, 5, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4], "680": [4, 4, 5, 4, 5, 4, 5, 2, 5, 3, 5], "669": [4, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 5, 2, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 1, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 2, 2, 5, 5, 1, 3, 5, 4, 4, 4, 5, 5, 2, 5, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 4, 1, 5, 4, 2, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 1, 4, 5, 4, 3, 5, 5, 5, 4, 2, 4, 3, 5, 4, 2, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 2, 5, 5, 1, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 2, 5, 3, 5, 4, 4, 2, 5, 4, 1, 4, 2, 4, 4, 4, 4, 5, 5, 5, 1, 3, 4, 1, 5, 5, 4, 1, 2, 5, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 2, 5, 2, 4, 5, 4, 5, 5, 4, 3, 5, 1, 4, 4, 4, 1, 1, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 5, 5, 4, 4, 5, 1, 3, 4, 1, 4, 3, 3, 5, 1, 3, 4, 1, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 1, 4, 5, 4, 4, 4, 4, 4, 5, 1, 4, 4, 5, 4, 2, 4, 4, 5, 5, 4, 4, 4, 3, 4, 1, 5, 4, 5, 4, 4, 5, 3, 2, 3, 4, 1, 5, 4, 5, 4, 5, 3, 5, 4, 3, 3, 5, 5, 4, 4, 5, 4, 2, 1, 5, 5, 3, 5, 5, 2], "3333": [4, 5, 3, 5, 5, 4, 3, 3, 5, 5, 1, 3, 5, 5, 3, 1, 2, 5, 3, 4, 2, 3, 3, 4, 4, 5, 4, 1, 1, 5, 5, 4, 5, 2, 3, 5, 4, 3, 5, 5, 1, 1, 1, 3, 3, 4, 5, 5, 2, 1, 3, 1, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 2, 4, 1, 4, 3, 4, 4, 4, 5, 3, 4, 1, 4, 5, 1, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 3, 1, 4, 3, 3, 4, 1, 5, 3, 1, 5, 5, 5, 3, 4, 4, 5, 3, 5, 1, 2, 4, 5, 3], "1031": [4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 5, 4, 4, 5, 4, 1, 4, 1, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4], "4434": [3, 3, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 2, 4, 3, 3, 4, 5, 3, 4, 4, 4], "4497": [4, 2, 3, 5, 4, 5, 3, 3, 3, 1, 5, 4, 5, 1, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 1, 3, 5, 1, 3, 2, 1, 1, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 5, 5, 4, 5, 1, 2, 5, 4, 5, 5, 3, 3, 3, 3, 3, 1, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 2, 5, 4, 4, 2, 4, 4, 4, 4, 2, 5, 5, 4, 3, 3, 4, 5, 5, 5, 3, 3, 4, 1, 5, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 1, 4, 2, 4, 5, 5, 5, 4, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 4, 3, 4, 5, 5, 5, 3, 4, 4, 5, 1, 5, 4, 3, 4, 5, 5, 5, 4, 4, 5, 5, 1, 4, 5, 4, 1, 2, 1, 4, 4, 4, 4, 5, 1, 4, 5, 1, 4, 1, 5, 3, 1, 4, 4, 4, 3, 1, 1, 1, 5, 1, 4, 1, 5, 1, 4, 5, 5, 5, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 1, 1, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 5, 5, 4, 5, 5, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 3, 2, 5, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 2, 1, 1, 5, 5, 4, 1, 3, 2, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 2, 1, 1, 1, 4, 5, 4, 4, 3, 2, 3, 4, 3, 5, 5, 3, 4, 3, 3, 3, 2, 5, 5, 5, 4, 5, 5, 4, 3, 4, 4, 2, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 2, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 1, 2, 4, 2, 5, 3, 3, 2, 4, 5, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 1, 1, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 3, 3, 5, 3, 3, 3, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 3, 4], "1966": [5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 2], "4764": [5, 4, 4, 2, 5, 4, 2, 5, 5, 5, 3, 5, 5, 4, 5, 5, 3, 5, 1, 5, 4, 4, 5, 5, 2, 3, 5, 4, 5], "5327": [1, 4, 3, 4, 5, 4, 5, 5, 2, 5, 5, 4, 4, 1, 5, 4, 1, 5, 1, 1, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 5, 4, 5, 3, 5, 3, 3, 5, 5, 5, 4, 4, 5, 1, 4, 4, 4, 3, 1, 2, 5, 3, 4, 5, 4, 5, 1, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 5, 4, 2, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 3, 2, 3, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 3, 5, 3, 5, 5, 2, 4, 3, 4, 4, 4, 4, 2, 5, 4, 1, 5, 5, 4, 1, 4, 5, 5, 5, 5, 3], "5416": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 3, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 1, 3, 4, 4, 4, 3, 5, 5, 4, 5, 4], "576": [3, 4, 4, 2, 3, 2, 5, 5, 4, 5, 3, 5, 1, 3, 1, 4, 5, 1, 4, 3, 5, 4, 4, 3, 4, 5, 3, 5, 4, 2, 5, 2, 4, 2, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4], "1213": [5, 5, 3, 5, 1, 1, 5, 5, 1, 5, 5, 1, 4, 5, 5, 5, 5, 2, 5, 5, 5], "38": [3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 2, 4, 3, 3, 2, 4, 4, 3, 2, 3, 5, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 5, 2, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 1, 2, 5, 4, 2, 4, 4, 4], "1116": [5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 1, 5, 4, 5, 3, 1, 5, 4, 3, 5, 3, 5, 1, 3, 2, 3, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 2, 4, 3, 3, 4, 3, 5, 4, 4, 2, 3, 4, 5, 4, 1, 3, 3, 4, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 5, 3, 2, 3, 4, 5, 5, 3, 3, 5, 4, 5, 3, 4, 3, 5, 3, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 1, 5, 5, 4, 4, 4, 4, 4, 5], "5895": [4, 2, 5, 3, 4, 3, 5, 3, 4, 5, 4, 3, 4, 3, 5, 5, 5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 3, 2, 2, 1, 4, 2, 2, 2, 5, 4, 5, 2, 4, 4, 2, 4, 2, 4, 5], "4080": [4, 5, 5, 5, 4, 5, 3, 5, 4, 2, 5, 4, 5, 5, 5, 3, 2, 3, 3, 4, 3, 3, 4, 4, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 3, 2, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5], "4198": [4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 1, 2, 2, 5, 3, 3, 4, 4, 5, 3, 5, 5, 3, 3, 2, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5], "3156": [5, 3, 1, 2, 4, 2, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 2, 4, 3, 2, 5, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5], "1331": [4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 5, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 4, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 1, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4], "440": [2, 3, 5, 3, 4, 4, 3, 1, 4, 5, 2, 2, 1, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4], "5320": [4, 3, 4, 1, 1, 1, 1, 2, 1, 5, 5, 3, 1, 1, 3, 3, 1], "583": [4, 4, 5, 4, 5, 5, 5, 3, 1, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 1, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 3, 2, 3, 5, 3, 4, 2, 4, 5, 4, 4, 4, 3, 4, 5, 2, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 2, 1, 5, 4, 4, 4, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 4, 5, 2, 5, 5, 4, 3], "4065": [3, 5, 4, 4, 5, 4, 4, 5, 3, 2, 3, 5, 4, 5, 5, 5, 4, 4], "5194": [3, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 4, 3, 2, 2, 5, 4, 3, 4, 2, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 1, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 2, 2, 4, 5, 4, 4, 4, 4, 3], "3044": [3, 3, 4, 2, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 5, 5, 5, 1, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 5, 5, 3, 3, 5, 3, 4, 5, 5, 5, 5, 5, 3, 2, 4, 5, 3, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 2, 4, 3, 3, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 1, 4, 4, 5, 4, 2, 4, 4, 4, 3, 5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 4, 3, 5, 3, 2, 3, 5, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 3, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 3, 2, 3, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 3, 3, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 2, 5, 3, 5, 3, 5, 5, 4, 3, 3, 3, 4, 1, 3, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4], "2501": [5, 4, 5, 5, 5, 4, 3, 3, 5, 5, 2, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 2, 5, 3, 4, 4, 4, 4, 5, 3, 2, 3, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5], "105": [5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5], "2133": [5, 5, 3, 2, 2, 4, 2, 4, 3], "4055": [3, 1, 4, 4, 3, 3, 5, 3, 1, 2, 4, 5, 3, 2, 5, 3, 1, 4, 3, 1, 5, 4, 3, 4, 3, 1, 1, 3, 3, 4, 5, 1, 4, 3, 2, 2, 3, 2, 2, 3, 1, 3, 3, 3, 4, 3, 1, 5, 3, 5, 4, 3, 3, 4, 3, 5, 3, 4, 1, 4, 3, 2, 2, 4, 3, 4, 3, 3, 4, 3, 3, 3, 1, 4, 4, 2, 2, 3, 4, 2, 4, 1, 1, 2, 1, 1, 4, 3, 1, 1, 4, 1, 2, 4, 3, 1, 4, 2, 1, 4, 3, 1, 2, 3, 3, 4, 1, 1, 3, 5, 3, 3, 3, 4, 2, 4, 1, 3, 2, 2, 4, 5, 4, 4, 3, 2, 3, 5, 2, 5, 3, 1, 3, 4, 3, 4, 3, 1, 2, 3, 1, 4, 4, 4, 4, 3, 3, 3, 3, 4, 2, 4, 4, 3, 1, 1, 4, 3, 2, 4, 2, 3, 2, 1, 3, 4, 4, 1, 3, 3, 3, 4, 4, 3, 3, 1, 1, 4, 3, 3, 3, 4, 3, 4, 1, 1, 1, 3, 1, 4, 3, 1, 3, 3, 5, 1, 4, 4, 3, 3, 1, 1, 2, 2, 3, 2, 1, 4, 2, 3, 4, 4, 1, 1, 3, 3, 4, 2, 1, 3, 4, 3, 1, 3, 2, 1, 4, 1, 3, 3, 1, 1, 4, 2, 4, 3, 1, 4, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 3, 2, 4, 1, 4, 5, 5, 4, 1, 1, 3, 4, 1, 4, 2, 4, 3, 1, 3, 3, 3, 5, 1, 1, 4, 2, 5, 3, 4, 1, 2, 4, 5, 3, 3, 1, 4, 2, 1, 4, 3, 3, 3, 3, 2, 1, 3, 2, 5, 2, 4, 1, 3, 4, 3, 4, 5, 5, 3, 5, 4, 4, 2, 3, 2, 1, 5, 2, 5, 1], "2844": [5, 3, 3, 5, 4, 5, 4, 1, 2, 5, 2, 4, 4, 5, 2, 3, 2, 1, 2, 5, 1, 5, 2, 4, 4, 5, 4, 5, 4, 5, 4, 3, 2, 3, 3, 4, 2, 4, 4, 2, 3, 5, 2, 5, 3, 4, 4, 2, 5, 4, 4, 2, 3, 3, 5, 5], "182": [5, 1, 3, 5, 5, 4, 2, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 2, 3, 4, 4, 5, 2, 5, 4, 2, 5, 5, 3, 4, 1, 5, 4, 4, 3, 3, 1, 3, 4, 4, 3, 3, 5, 5, 5, 4, 3, 3, 5, 5, 3, 1, 5, 1], "3689": [3, 2, 3, 3, 1, 3, 4, 3, 2, 3, 5, 3, 3, 4, 3, 3, 1, 3, 3, 2, 3, 2, 4, 4, 2, 1, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 5, 2, 2, 3, 5, 3, 2, 3, 3, 3, 4, 2, 3, 3, 2, 2, 3, 3, 4, 3, 5, 2, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 5, 2, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2, 2, 3, 2, 3, 3, 4, 3, 4, 1, 3, 2, 2, 4, 2, 3, 2, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 2, 2, 4, 4, 3, 3, 4, 3, 5, 2, 3, 3, 4, 2, 1, 3, 4, 3, 4, 3, 3, 2, 4, 5, 3, 2, 2, 2, 2, 3, 3, 4, 2, 3, 1, 2, 3, 5, 2, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 2, 5, 3, 3, 3, 2], "2542": [4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 3, 5, 4, 3, 2, 3, 4, 4, 3, 3], "1991": [5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 2, 5, 3, 5, 5, 2, 5, 5], "1566": [5, 1, 1, 5, 1, 4, 4, 1, 3, 5, 5, 4, 4, 3, 4, 4, 5], "2709": [3, 1, 4, 3, 3, 4, 1, 3, 4, 5, 5, 1, 1, 1, 1, 1, 4, 4, 1, 2, 5, 2, 2, 1, 1, 2, 3, 3, 3], "824": [4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5, 3, 5, 2, 3, 4, 3, 4, 3, 2, 4, 3, 4, 5, 4, 2, 5, 4, 5, 5, 3, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 2, 2, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 5, 3, 3, 5, 4, 4, 4, 2, 2, 5, 5, 3, 4, 5, 3, 3, 4, 2, 5, 4, 5, 4, 3, 2, 3, 3, 3, 2, 1, 4, 4, 3, 1, 4, 5, 5, 3, 3, 3, 5, 2, 3, 4, 4, 5, 5, 3, 4, 4, 3, 4, 2, 4, 3, 2, 3, 3, 3, 2, 3, 1, 4, 5, 3, 4, 5, 4, 3, 4, 3, 3, 2, 4, 5, 5, 5, 3, 4, 2, 3, 3, 3, 4, 4, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 3, 1, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 5, 2, 5, 5, 4, 4, 2, 5, 4, 4, 1, 3, 4, 3, 3, 3, 5, 3, 4, 2, 2, 2, 3, 3, 4, 2, 5, 5, 4, 4, 3, 1, 5, 4, 5, 4, 5, 3, 5, 3, 5, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5], "3162": [3, 3, 5, 3, 4, 4, 5, 3, 1, 3, 1, 1, 4, 2, 4, 5, 2, 5, 1, 2, 3, 2, 2, 1, 5, 3, 3, 2, 2, 2, 4, 4, 3, 5, 5, 1, 3, 2, 3, 4, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 2, 4, 5, 3, 3, 3, 2, 4, 5, 5, 4], "2101": [3, 5, 5, 4, 3, 4, 3, 5, 4, 4, 2, 1, 2, 4, 3, 4, 3, 5, 4, 5, 1, 4, 3, 4, 2, 4, 3, 1, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 2, 2, 2, 4, 4, 2, 4, 2, 4, 3, 3, 4, 1, 1, 3, 5, 5, 3, 2, 3, 3, 2, 5, 4, 5, 4, 2, 2, 5, 4, 4, 4, 3, 4, 2, 3, 2], "220": [4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 2, 3, 5, 3, 3, 4, 5, 5, 3, 5, 3, 4, 1, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5], "4700": [3, 3, 4, 4, 5, 4, 2, 3, 2, 4, 2, 3, 4, 2, 1, 3, 5, 5, 1, 3, 4, 4, 1, 4, 4, 2, 5, 3, 5, 1, 3, 4, 3, 5, 5, 1, 1, 1, 2, 3, 3, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 3, 5, 5, 4, 3, 5, 3, 3, 2, 4, 5, 4, 5, 2, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 3, 5, 3, 3, 3, 3, 2, 4, 2, 2, 1, 5, 3, 2, 3, 4, 5, 4, 5, 4, 2, 4, 1, 5, 4, 4, 3, 5, 2, 2, 1, 4, 4, 1, 2, 1, 2, 3, 2, 2, 5, 3, 4, 4, 5, 3, 4, 5, 3, 3, 3, 2, 3, 3, 4, 2, 4, 4, 2], "509": [3, 4, 3, 2, 3, 3, 2, 3, 2, 3, 3, 4, 4, 3, 1, 3, 3, 4, 4, 3, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 3, 2, 5, 4, 2, 5, 3, 3, 3, 4, 3, 5, 3, 3, 5, 3, 5, 3, 4, 4, 4, 3, 3, 4, 2, 4, 3, 3, 4, 5, 3, 4, 2, 4, 2, 5, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 5, 3, 2, 3, 3, 2, 4, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 2, 3, 3, 2, 4, 5, 3, 3, 3, 5, 2, 2, 4, 4, 3, 4, 3, 2, 4, 3, 2, 4, 4, 4, 2, 4, 3, 5, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 2, 2, 2, 4, 4, 5, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 2, 5, 3, 5, 4, 4, 2, 2, 4, 3, 3, 4, 3, 2, 3, 2, 3, 4, 3, 4, 5, 2, 3, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 2, 3, 2, 3, 3, 3, 4, 4, 3, 2, 2, 2, 5, 3, 3, 1, 5, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 3, 3, 3, 4, 4, 2, 4, 4, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 1, 5, 3, 4, 5, 5, 3, 3, 4, 3, 4, 4, 1, 2, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 5, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 1, 4, 4, 2, 2, 4, 3, 3, 2, 2, 5, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 1, 3, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2, 5, 3, 2, 4, 5, 4, 1, 5, 4, 3, 2, 1, 3, 3, 1, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 5, 3, 4, 2, 4, 4, 3, 5, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 5, 3, 4, 1, 4, 5, 2, 3, 2, 3, 3, 4, 4, 4, 1, 3, 2, 3, 3, 3, 5, 3, 4, 4, 2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 3, 3, 4, 5, 2, 3, 5, 2, 2, 3, 5, 4, 4, 2, 5, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 2, 2, 3, 5, 2, 2, 5, 3, 5, 3, 2, 4, 4, 5, 2, 3, 5, 3, 2, 5, 2, 3, 4, 4, 4, 3, 5, 2, 4, 4, 2, 4, 5, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 4, 4, 2, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3], "5375": [5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4], "836": [4, 5, 3, 3, 5, 1, 1, 4, 3, 1, 4, 1, 3, 2, 1, 4, 1, 2, 2, 1, 5, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 4, 2, 5, 5, 1, 4, 2, 4, 1, 1, 1, 1], "238": [5, 3, 2, 5, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 3, 3, 5, 5, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 5, 3, 4, 3, 5, 4, 3, 2, 3, 3, 3, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 5, 3, 3, 2, 3, 5, 4, 3, 5, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 5, 2, 5, 3, 4, 3, 4, 3, 5, 3, 4, 5, 5, 3, 5, 5, 3, 4, 5, 4, 3, 4, 4, 5, 3, 5, 4, 4, 2, 4, 5, 4, 3, 3, 3, 5, 3, 5, 2, 4, 4, 3, 4, 3, 5, 4, 3, 4, 5, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 2, 4, 4, 4, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 5, 4, 3, 3, 5, 5, 3, 4, 4, 3, 3, 4, 2, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 2, 3, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 3, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 5, 3, 5, 3, 5, 5, 4, 3, 4, 5, 4, 5, 3, 5, 3, 5, 5, 3, 5, 2, 3, 4, 3, 5], "909": [5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 3, 5, 3, 4, 5, 3, 2, 3, 5, 1, 3, 4, 5, 4, 3, 3, 5, 3, 5, 4, 5, 4, 5, 2, 5, 3, 5, 4, 4, 3, 5, 3, 5, 5, 3, 4, 5, 3, 3, 3, 5, 4], "1768": [3, 3, 3, 4, 3, 1, 4, 5, 3, 5, 1, 4, 5, 3, 5, 3, 3, 3, 4, 1, 1, 3, 1, 5, 5, 2, 5, 4, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 5, 3, 1, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 2, 5, 3, 3, 5, 3, 2, 5, 2, 3, 4, 4, 3, 4, 3, 4, 3, 3, 5, 5, 4, 3, 3, 4, 3, 3, 3, 2, 3, 5, 4, 4, 1, 2, 4, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 3, 4, 1, 4, 5, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 5, 2, 1, 2, 3, 3, 5, 3, 3, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 3], "1994": [5, 5, 5, 3, 5, 5, 4, 3, 5, 2, 4, 4, 3, 3, 4, 3, 5, 3, 5, 5, 3, 5, 5, 5, 4], "5277": [4, 4, 4, 3, 4, 4, 1, 4, 2, 4, 3, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 1, 3, 5, 4, 3, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 3, 2, 2, 2, 2, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 3, 2, 3, 5, 2, 4, 2, 2, 1, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 5, 5, 3, 1, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4, 3, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 2, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 5, 2, 3, 3, 5, 5, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 4, 5, 3, 3, 4, 5, 4, 2, 3, 3, 3, 1, 1, 3, 4, 5, 2, 1, 4, 3, 4, 4, 3, 3, 1, 2, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 3, 3, 4, 5, 2, 5, 4, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 2, 2, 3, 3, 2, 5], "1309": [3, 5, 3, 5, 4], "259": [5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 4, 4, 1, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 3, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 2, 4, 2, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 5], "2947": [4, 3, 4, 2, 3, 3, 4, 4, 5, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 1, 5, 3, 3, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 5, 4, 5, 4, 4, 2, 4, 3, 5, 5, 5, 3, 3, 2, 4, 2, 5, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 2, 4, 4, 5, 2, 4, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5], "2573": [4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 1, 5, 4, 4, 5, 5, 4, 5, 4, 4], "3555": [2, 2, 4, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 1, 4, 2, 4, 2, 2, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 4, 3, 3, 4, 2, 4, 3, 2, 4, 4, 1, 4, 2, 4, 3, 3, 4, 3, 4, 1, 3, 4, 2, 4, 3, 4, 4, 3, 4, 3, 1, 3, 5, 3, 3, 3, 2, 4, 2, 2, 3, 5, 5, 2, 3, 3, 4, 3, 2, 4, 3, 3, 2, 3, 5, 3, 4, 3, 4, 3, 3, 3, 1, 5, 3, 4, 3, 3, 4, 5, 4, 1, 3, 3, 3, 3, 2, 3, 3, 4, 2], "602": [3, 3, 1, 5, 5, 5, 5, 1, 3, 5, 5, 2, 1, 5, 2, 3, 1, 5, 4, 5, 5, 5, 5, 2, 5, 3, 4, 1, 2, 1, 5, 1, 4, 1, 5, 3, 1, 5, 5, 4, 5, 5, 3, 1, 5, 5, 5, 5, 5, 1, 1, 1, 2, 1, 3, 5, 4, 5, 1, 5, 2, 5, 5, 4, 1, 5, 1, 5, 5, 2, 5, 5, 5, 5, 2, 4, 3, 1, 3, 1, 3, 3, 1, 4, 1, 5, 5, 5, 4, 4, 3, 3, 5, 3, 1, 3, 1, 5, 1, 3, 5, 4, 1, 1, 5, 2, 3, 4, 5, 5, 2, 2, 3, 4, 1, 2, 5, 1, 5, 3, 5, 5, 5, 5, 1, 5, 4, 5, 2, 5, 5, 3, 5, 5, 5, 5, 4], "851": [3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 3, 2, 4, 5, 2, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 2, 5, 4, 3, 4, 3, 1, 2, 3], "2761": [4, 5, 2, 2, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 4, 4, 3, 5, 2, 2, 4, 4, 2, 4, 4, 3, 4, 2, 5, 5, 4, 5, 5, 5, 4, 3, 2, 4, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 4, 5, 3, 4, 5, 3, 4, 2, 4, 4, 3, 2, 4, 4, 4, 1, 5, 3, 4, 4, 3, 3, 4, 2, 4, 3, 2, 4, 3, 3, 2, 3, 4, 2, 4, 4, 2, 2, 3, 2, 5, 4, 4, 2, 4, 5, 2, 3, 4, 2, 1, 1, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3, 3, 4, 5, 4, 3, 4, 2, 2, 3, 2, 3, 4, 4, 1, 2, 4, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 1, 3, 4, 4, 3, 3, 2, 4, 5, 3, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 3, 5, 5, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 2, 1, 4, 4, 4, 3, 5, 4, 3, 4, 5, 1, 1, 5, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 2, 4, 2, 1, 2, 2, 4, 4, 4, 5, 4, 5, 5, 4, 1, 1, 5, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 2, 4, 4, 1, 3, 5, 4, 2, 3, 4, 5, 4, 2, 3, 4, 3, 5, 4, 4, 4, 5, 3, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 2, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 4, 4, 5, 5, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 1, 4, 5, 4, 5, 4, 4, 2, 5, 4, 5, 4], "805": [4, 5, 4, 5, 5, 5, 3, 3, 4, 2, 5, 5, 4, 4, 3, 4, 4, 5, 5, 3, 5, 4, 3, 5, 4, 5, 3, 3, 2, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 1, 4, 3, 5, 5, 4, 1], "4513": [3, 4, 4, 4, 4, 3, 3, 2, 5, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 2, 3, 4, 5, 1, 4, 5, 4], "4518": [5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5], "1691": [5, 3, 5, 4, 4, 5, 5, 5, 2, 5, 3, 2, 4, 5, 4, 4, 5, 5, 2, 1, 1, 3, 2, 5, 4, 5, 4, 5, 3, 2], "5990": [2, 2, 3, 3, 2, 4, 4, 3, 2, 2, 4, 3, 3, 4, 5, 3, 4, 3, 4, 2, 3, 4, 4, 2, 4, 4, 2, 2, 4, 4, 2, 4, 5, 4, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 2, 3, 3, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 5, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 5, 2, 4, 3, 2, 3, 1, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 2, 3, 4, 3, 3, 5, 4, 2, 5, 4, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 2, 3, 2, 4, 4, 4, 2, 5, 3, 3, 3, 4, 3, 4, 5, 5, 3, 2, 3, 4, 3, 5, 4, 5, 3, 4, 2, 5, 2, 4, 5, 2, 3, 3, 2, 4, 4, 2, 4, 5, 4, 2, 5, 4, 4, 4, 5, 3, 4, 2, 2, 4, 3, 2, 2, 3, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 2, 4, 4, 4, 3, 1, 4, 4, 5, 2, 3], "21": [3, 3, 3, 5, 3, 1, 3, 4, 4, 1, 5, 1, 3, 1], "4723": [5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 3, 5, 2, 5, 3, 4, 3, 4, 1, 5, 4], "4120": [4, 2, 4, 3, 2, 5, 5, 3, 3, 4, 4, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 3, 3, 2], "3757": [4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 4, 5, 5, 2, 5, 3, 4, 5, 5, 3, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 5, 1, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 5, 3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 2, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 3, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5], "1212": [5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 2, 2, 5, 3, 5, 3, 3, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 2, 5], "3942": [2, 2, 3, 3, 3, 4, 1, 2, 2, 2, 3, 5, 2, 1, 3, 1, 5, 3, 3, 3, 3, 4, 3, 4, 1, 3, 3, 1, 3, 4, 3, 1, 3, 3, 4, 4, 4, 2, 5, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 4, 4, 4, 1, 3, 2, 1, 4, 2, 3, 3, 3, 2, 3, 4, 1, 4, 3, 1, 1, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 5, 1, 4, 2, 1, 2, 4, 2, 2, 1, 4, 1, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 3, 3, 1, 3, 3, 1, 2, 4, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 1, 3, 3, 2, 3, 2, 2, 3, 4, 1, 3, 3, 2, 4, 1, 2, 3, 5, 2, 1, 3, 2, 2, 4, 2, 3, 3, 4, 2, 5, 3, 3, 2, 4, 1, 3, 3, 2, 4, 3, 1, 4, 1, 3, 2, 5, 1, 2, 2, 1, 3, 3, 3, 3, 1, 2, 2, 5, 2, 2, 2, 5, 3, 3, 1, 3, 3, 3, 3, 2, 3, 2, 4, 4, 4, 5, 1, 4, 2, 3, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 2, 2, 5, 4, 4, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 4, 2, 3, 4, 5, 3, 5, 4, 4, 3, 3, 3, 2, 3, 3, 2, 3, 2, 2, 4, 2, 3, 4, 2, 2, 1, 2, 5, 2, 3, 1, 1, 3, 2, 3, 2, 1, 2, 2, 1, 4, 2, 5, 2, 5, 4, 2, 3, 3, 2, 3, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 5, 3, 2, 1, 2, 4, 4, 4, 3, 4, 3, 4, 4, 1, 2, 2, 1, 1, 2, 4, 4, 2, 1, 5, 3, 4, 3, 1, 5, 3, 3, 1, 1, 4, 1, 1, 3, 3, 3, 2, 1, 2, 1, 5, 1, 2, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 2, 5, 5, 2, 4, 4, 2, 3, 2, 3, 3, 3, 3, 2, 2, 4, 4, 3, 2, 3, 3, 3, 1, 2, 3, 3, 3, 1, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 2, 2, 4, 2, 3, 2, 2, 2, 2, 1, 1, 2, 1, 2, 4, 1, 1, 2, 4, 2, 3, 1, 3, 2, 1, 2, 5, 1, 1, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 4, 5, 3, 3, 5, 4, 2, 3, 4, 3, 5, 3, 1, 1, 2, 1, 5, 3, 2, 5, 5, 5, 3, 5, 3, 4, 2, 1, 2, 5, 3, 4, 5, 5, 3, 2, 4, 2, 2, 4, 5, 1, 1, 2, 4, 4, 2, 3, 3, 4, 1, 3, 3, 2, 3, 2, 5, 2, 4, 1, 3, 5], "1078": [4, 3, 4, 1, 4, 4, 3, 4, 5, 4, 4, 3, 2, 5, 4, 5, 3, 5, 3, 5, 2, 4, 5, 3, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 3, 5, 5, 1, 3, 4, 4, 3, 4, 5, 5, 4, 3, 4, 5, 3, 3, 4, 4, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4], "4972": [3, 4, 4, 5, 5, 3, 3, 5, 2, 3, 3, 4, 3, 3, 4, 3, 5, 5, 4, 3, 5, 5, 1, 3, 3, 4, 3, 4, 1, 4, 1, 4, 3, 2, 5, 2, 2, 4, 5, 5, 3, 2, 2, 2, 4, 5, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 4, 4, 3, 5, 4, 4, 2, 2, 2, 4, 1, 4, 1, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 2, 2, 4, 2, 4, 3, 2, 2, 2, 2, 2, 2, 5, 4, 4, 2, 1, 3, 4, 3, 4, 3, 3, 5, 1, 5, 4, 3, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 1, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 5, 4, 3, 1, 4, 4, 5, 5, 3, 4, 3, 2, 5, 3, 4, 3, 5, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 2, 2, 4, 2, 2, 2, 3, 3, 2, 3, 5, 4, 3, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 2, 5, 3, 1, 2, 3, 3, 4, 3, 4, 5, 3, 2, 4, 4, 3, 3, 3, 3, 5, 4, 2, 2, 4, 2, 3, 4, 4, 1, 3, 4, 4, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 2, 2, 3, 4, 4, 4, 4, 5, 4, 2, 3, 4, 4, 2, 3, 5], "6030": [3, 5, 4, 3, 5, 3, 3, 5, 3, 5, 4, 3, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 2, 4, 3, 4, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 3, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 3, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 2, 4, 4, 4, 5, 4, 3, 4, 5, 2, 4, 2, 5, 4, 5, 5, 3, 5, 5, 2, 3, 2, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3], "303": [4, 4, 4, 2, 5, 2, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 4, 3, 3, 3, 5, 3, 4, 3, 5, 2, 5, 4, 5, 4, 4, 4, 3, 2, 4, 5, 4, 3, 4, 2, 4, 4, 3, 4, 5, 4, 4, 4, 1, 3, 5, 5, 1, 4, 3, 3, 2, 4, 4, 2, 5, 3, 5, 2, 4, 5, 5, 4, 5, 5, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 1, 2, 5, 5, 5, 4, 5, 5, 4, 4, 3, 2, 5, 4, 5, 4, 5, 4, 2, 4, 3, 5, 5, 4, 2, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 4, 5, 4, 4, 5, 2, 5, 5, 5, 3, 4, 5, 4], "812": [5, 5, 4, 2, 5, 5, 3, 3, 3, 5, 1, 3, 3, 2, 2, 4, 5, 3, 3], "4038": [4, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4], "37": [4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4, 1, 4, 5, 2, 5, 1, 1, 4, 1, 4, 5, 1, 5, 4, 5, 5, 3, 3, 4, 3, 5, 3, 5, 5, 2, 5, 5, 5], "3424": [4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 2, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 4, 5], "3097": [4, 4, 5, 5, 4, 4, 5, 1, 1, 1, 1, 1, 1, 4, 3, 2, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 1, 1, 1, 5, 1, 5, 5, 5, 4], "5349": [3, 4, 4, 5, 3, 3, 2, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 3, 4, 4, 2, 3, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 3, 5, 5, 5, 2, 5, 5, 5, 5, 3, 3, 4, 5, 5, 1, 5, 2, 4, 4, 3, 5, 5, 3, 5, 3, 4, 5, 5, 4, 4, 5, 2, 1, 4, 2, 4, 5, 4, 5, 2, 5, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 3, 3, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 2, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 5, 2, 5, 4, 5, 5, 3, 3, 5, 3, 5, 5, 3, 5, 5, 4, 2, 5, 4, 5, 2, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 2, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5], "1034": [4, 2, 4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 1, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 1, 1, 4, 4, 2, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 1, 4, 5, 3, 4, 3, 1, 4, 1, 4, 4, 3, 3, 3, 3, 1, 3, 3, 4, 3, 3, 4, 1, 5, 5, 3, 4, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 1, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 5, 4, 1, 4, 5, 4, 4, 4, 3, 1, 5, 4, 4, 1, 4, 4, 4, 3, 3, 3, 2, 3, 5, 4, 4, 1, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3], "173": [3, 4, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 3, 5, 2, 5, 4, 5, 5, 4, 2, 5, 3, 2, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 3, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 3, 3, 3, 3, 5, 5, 2, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 3, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 1, 3, 5, 4, 3, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 2, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 3, 5, 5, 3, 5, 1, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 2, 4, 4, 4, 3, 5, 3, 3, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 3, 4, 4, 4, 3, 5, 5, 3, 3, 5, 3, 3, 4, 3, 4, 5, 4, 5, 2, 4, 5, 5, 3, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 3, 2, 4, 4, 2, 3, 4, 3, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4], "4150": [2, 3, 4, 5, 2, 4, 4, 4, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 3, 2, 3, 3, 4, 3, 4, 3, 3, 1, 3, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 2, 3, 2, 3, 4, 2, 3, 3, 4, 3, 4, 3, 2, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 5, 2, 3, 2, 3, 3, 5, 2, 4, 4, 3, 3, 4, 3, 2, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 5, 2, 3, 3, 4, 4, 3, 5, 5, 3, 3, 3, 2, 3, 5, 3, 3, 3, 2, 3, 4, 3, 3, 5, 4, 2, 4, 5, 2, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 4, 5, 3, 1, 3, 4, 3, 3, 3, 2, 4, 3, 2, 4, 2, 3, 3, 3, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 1, 4, 2, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 3, 2, 5, 3, 3, 4, 5, 4, 3, 2, 2, 4, 3, 4, 5, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 5, 3, 2, 4, 5, 3, 3, 2, 3, 2, 5, 3, 3, 3, 4, 4, 2, 1, 3, 3, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 3, 3, 2, 4, 4, 4, 3, 4, 3, 3, 3], "282": [3, 3, 5, 5, 3, 3, 3, 2, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 5, 3, 2, 4, 4, 3], "819": [4, 2, 5, 3, 4, 3, 5, 3, 5, 3, 2, 5, 1, 1, 5, 3, 5, 5, 5, 2, 5, 2, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 5, 4, 1, 2, 3, 5], "2452": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 1, 4, 5, 4, 3, 4, 2, 1, 4], "3935": [4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 5, 3, 2, 5, 3, 4, 3, 3, 3, 5, 3, 4, 2, 3, 3, 4, 2, 4, 1, 3, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 5, 4, 4, 3, 5, 3, 5, 4, 4], "5657": [3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5], "1855": [3, 4, 4, 5, 4, 4, 3, 3, 2, 1, 2, 1, 3, 4, 2, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 4, 3, 3, 1, 3, 4, 3, 4, 4, 3, 2, 3, 5, 3, 3, 3, 3, 4, 4, 1], "2899": [5, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 1, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 5, 1, 4, 5, 5, 4, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 5, 4, 5, 5, 3, 3, 3, 4, 2, 5, 4, 4, 4, 3, 4, 1, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 2, 4, 4, 4, 1, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 2, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5], "1581": [3, 3, 2, 2, 2, 3, 2, 4, 2, 5, 5, 4, 4, 4, 2, 2, 4], "2843": [2, 3, 2, 4, 5, 1, 3, 4, 2, 5, 2, 5, 2, 3, 5, 4, 1, 2, 2, 2, 3, 4, 3, 1, 1, 1, 4, 3, 1, 2, 3, 5], "5102": [4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5], "5084": [3, 2, 2, 1, 2, 1, 3, 3, 2, 3, 3, 3, 4, 3, 1, 1, 2, 2, 1, 2, 2, 3, 1, 4, 1, 1, 5, 4, 2, 2, 3, 3, 5, 3, 2, 2, 2, 5, 4, 1, 1, 5, 1, 3, 2, 3, 3, 2, 2, 1, 5, 4, 1, 2, 3, 3, 5, 3, 2, 4, 1, 5, 2, 3, 1, 1, 1, 5, 1, 4, 3, 1, 5, 5, 3, 3, 1, 3, 3, 2, 3, 5, 1, 1, 1, 2, 5, 3, 3, 1, 3, 3, 1, 4, 2, 3, 5, 1, 5, 5, 3, 1, 2, 1, 3, 4, 3, 5, 3, 3, 3, 5, 1, 1, 3, 3, 4, 2, 3, 4, 3, 2, 3, 1, 3, 2, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 1, 3, 1, 5, 2, 1, 5, 2, 2, 2, 3, 4, 1, 5, 3, 1, 5, 1, 1, 5, 3, 4, 3, 1, 1, 1, 1, 1, 1, 3, 4, 1, 5, 4, 4, 3, 1, 1, 1, 1, 3, 2, 3, 5, 3, 1, 2, 3, 5, 3, 4, 4, 2, 2, 3, 5, 2, 2, 2, 1, 1, 3, 4, 4, 1, 1, 5, 2, 2, 5, 1, 3, 3, 3, 3, 1, 1, 2, 4, 1, 3, 2], "4189": [4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5], "2306": [5, 4, 5, 5, 4, 3, 5, 2, 5, 5, 5, 2, 5, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 2, 5, 3, 4, 3, 4, 2, 3, 5, 4, 5, 4, 3, 4, 1, 2, 4, 1, 5, 4, 4, 4, 2, 5, 4, 4, 4, 1, 3, 3, 2, 2, 4, 4, 5, 4, 2, 5], "2170": [4, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 3, 3, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 1, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5, 3, 2, 4, 4, 5, 3, 4, 3, 5, 4, 3, 3, 5, 5, 4, 5, 5, 3, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5], "1405": [4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 2, 4, 4, 4, 4, 2, 4, 4, 2, 1, 4, 4, 4, 4, 3, 4, 4, 4], "5493": [2, 2, 2, 4, 3, 2, 2, 4, 3, 3, 4, 5, 2, 5, 1, 2, 3, 4, 3, 3, 2, 2, 5, 4, 5, 2, 5, 5, 5, 4, 3, 4, 3, 5, 3, 1, 3, 2, 3, 5, 4, 5, 4, 4, 5, 4, 3, 4, 5, 2, 1, 5, 3, 4, 4, 4, 2, 2, 3, 4, 2, 2, 5, 3, 3, 3, 5, 4, 3, 1, 2, 3, 2, 5, 3, 4, 4, 4, 5, 3, 2, 2, 4, 3, 3, 5, 5, 3, 3, 4, 4, 2, 3, 5, 5, 4, 5, 2, 4, 4, 5, 3, 4, 5, 2, 5, 3, 4, 3, 2, 1, 4, 4, 3, 4, 1, 5, 5, 2, 5, 5, 4, 3, 3, 2, 5, 4, 5, 3, 3, 5, 3, 4, 1, 1, 3, 4, 4, 2, 4, 2, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 4, 3, 2, 4, 5, 2, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 2, 5, 5, 2, 4, 3, 5, 4, 4, 5, 4, 2, 5, 4, 5, 4, 3, 4, 4, 4, 5, 3, 2, 5, 2, 5, 5, 3, 2, 4, 4, 2, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 1, 2, 3, 4, 4, 2, 5, 3, 2, 1, 2, 2, 2, 3, 2, 4, 5, 5, 4, 2, 5, 3, 3, 3, 3, 2, 3, 3, 2, 2, 2, 5, 4, 1, 4, 5, 4, 3, 3, 3, 3, 2, 2, 4, 4, 1, 4, 4, 3, 5, 4, 5, 3, 5, 3, 5, 3, 2, 4, 3, 3, 4, 4, 2, 4, 4, 5, 3, 4, 5, 3, 2, 4, 5, 2, 4, 2, 2, 5, 2, 3, 1, 2, 5, 2, 2, 5, 1, 3, 5, 3, 2, 2, 4, 2, 4, 2, 4, 3, 4, 2, 2, 2, 5, 2, 3, 2, 4, 5, 5, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 2, 4, 2, 5, 2, 3, 5, 5, 5, 5, 2, 3, 4, 5, 3, 5, 5, 4, 1, 4, 4, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 5, 2, 3, 5, 2, 5, 1, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 2, 2, 2, 4], "4873": [5, 5, 5, 4, 5, 4, 2, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 4], "1109": [5, 4, 4, 5, 1, 3, 5, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 5, 2, 4, 3, 3, 2, 3, 5, 5, 4, 3, 1, 5, 2, 2, 4, 3, 3, 2, 4, 3, 3, 3, 3, 5, 2, 2, 3, 3, 2, 5, 3, 5, 3, 4, 4, 4, 1, 1, 1, 5, 1, 1, 2, 2, 2, 1, 3, 1, 4, 5, 4, 4, 2, 2, 5, 5, 1, 1, 3, 3, 4, 1, 3, 4, 5, 2, 1, 3, 5, 1, 3, 4, 5, 3, 3, 5, 3, 3, 2, 1, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 5, 3, 5, 1, 3, 3, 3, 2, 3, 5, 5, 2, 4, 1, 2, 3, 2, 3, 4, 4, 4, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 3, 2, 4, 5, 5, 3, 5, 3, 1, 5, 5, 3, 3, 4, 1, 3, 1, 1, 4, 3, 2, 1], "3525": [2, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 2, 4, 2, 3, 3, 2, 3, 3, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 2, 4], "2610": [3, 4, 3, 1, 3, 2, 3, 2, 2, 3, 4, 4, 5, 4, 3, 2, 4, 4, 3, 3, 2, 2, 4, 3, 4, 1, 4, 3, 5, 4, 3, 5, 4, 3, 3], "670": [4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 3, 2, 2, 5, 2, 4, 4, 4, 5, 3, 2, 5, 3, 3, 2, 3, 4, 3, 2, 2, 3, 5, 5, 3, 2, 3, 4, 3, 3, 3, 5, 4, 5, 1, 2, 1, 4, 3, 3, 1, 4, 1, 5, 2, 3, 5, 5, 5, 1, 3, 2, 3, 4, 3, 5, 2, 4, 4, 2, 4, 5, 4], "796": [4, 3, 3, 4, 2, 5, 4, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 3, 2, 2, 5, 5, 4, 4, 2, 5, 5, 2, 5, 5, 4, 3, 1, 3, 2, 2, 5, 4, 3, 3, 2, 3, 5, 5, 5, 3, 2, 4, 4, 2, 5, 5, 5, 1, 3, 1, 1, 3, 1, 4, 1, 3, 3, 4, 4, 3, 3, 1, 1, 1, 4, 2, 2, 3, 5, 3, 3, 3, 2, 5, 3, 3, 2, 4, 4, 2, 4, 3, 3, 2, 4, 3, 2, 3, 4, 1, 2, 3, 4, 3, 4, 3, 1, 3, 3, 2, 1, 4, 1, 1, 4, 1, 5, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 1, 4, 4, 4, 2, 4, 1, 5, 4, 3, 3, 3, 1, 3, 3, 3, 3, 2, 3, 3, 4, 3, 4, 3, 2, 3, 1, 3, 1, 4, 2, 5, 3, 4, 3, 4, 4, 3, 3, 3, 2, 2, 4, 2, 1, 2, 5, 3, 3, 5, 3, 3, 2, 2, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 1, 4, 2, 2, 3, 3, 4, 3, 4, 3, 5, 4, 5, 3, 3, 3, 3, 3, 4, 2, 3, 4, 2, 2, 3, 5, 2, 3, 3, 3, 3, 1, 3, 2, 3, 3, 4, 2, 1, 2, 1, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 2, 4, 1, 1, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 1, 3, 2, 2, 3, 3, 2, 4, 3, 1, 3, 4, 1, 4, 3, 3, 2, 3, 1, 5, 3, 2, 2, 2, 4, 3, 2, 3, 4, 1, 3, 1, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 4, 2, 3, 4, 2, 1, 3, 1, 1, 4, 3, 3, 3, 1, 4, 2, 4, 3, 4, 3, 5, 3, 3, 4, 3, 5, 5, 4, 3, 3, 4, 3, 2, 5, 3, 5, 3, 4, 4, 3, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 2, 3, 3, 5, 3, 2, 4, 2, 2, 4], "2781": [4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 1, 4, 5, 5, 3, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4], "5273": [5, 5, 2, 4, 4, 2, 5, 4, 4, 4, 5, 5, 2, 2, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 1, 4, 4, 4, 2, 4, 4, 2, 2, 4, 4, 4, 5, 1, 3, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 2, 5, 2, 4, 4, 3, 4, 1, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 2, 5, 4, 2, 5, 5, 4, 3, 3, 4, 2, 4, 4, 1, 4, 4, 5, 4, 4, 3, 5, 3, 2, 5, 2, 5, 4, 2, 5, 2, 2, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 2, 4, 5, 4, 5, 4, 5, 1, 4, 5, 2, 1, 5, 2, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 2, 5, 3, 2, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 3, 5, 2, 4, 5, 3, 4, 2, 4, 5, 3, 4, 3, 4, 4, 3, 4, 2, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 1, 4, 5, 2, 4, 4, 5, 5, 2, 4, 5, 4, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 4, 3, 5, 2, 5, 4, 5, 2, 5, 5, 5, 4, 1], "813": [3, 4, 4, 5, 4, 4, 4, 4, 3, 1, 3, 3, 3, 2, 4, 3, 4, 3, 1, 3, 2, 3, 2, 4, 2, 3, 4, 1, 1, 4, 3, 2, 4, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 4, 2], "1737": [4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 2, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 2, 4, 3, 3, 4, 1, 1, 3, 1, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 5, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 2, 5, 4, 4, 3, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 1, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 3, 3, 2, 2, 1, 2, 4, 4, 4, 1, 4, 1, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 2, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 1, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 1, 4, 5, 1, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 1, 3, 1, 3, 2, 5, 3, 2, 4, 4, 3, 5, 3, 3, 1, 4, 3, 4, 5, 3, 3, 3, 2, 1, 3, 4, 4, 2, 3, 2, 3, 2, 2, 4, 5, 4, 3, 5, 3, 3, 3, 3, 5, 4, 3, 3, 5, 5, 3, 4, 4, 3, 3, 4, 4, 1, 2, 3, 3, 1, 5, 4, 4, 4, 3, 2, 4, 4, 4, 5, 4, 5, 4, 2, 3, 3, 1, 3, 4, 5, 2, 4, 5, 3, 2, 4, 4, 4, 5, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 2, 3, 5, 5, 3, 5, 4, 3, 3, 3, 4, 5, 2, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 2, 4, 4, 1, 3, 3, 1, 4, 2, 1, 2, 2, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 2, 2, 2, 4, 4, 2, 4, 3, 5, 4, 4, 2, 2, 1, 3, 3, 4, 3, 2, 3, 4, 3, 4, 3, 2, 5, 4, 3, 4, 3, 3, 4, 5, 2, 3, 4, 3, 5, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 3, 4, 3, 2, 2, 5, 4, 3, 2, 2, 4, 4, 2, 3, 2, 4, 2, 4, 4, 4, 4, 2, 1, 4, 2, 3, 2, 4, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 3, 1, 2, 5, 4, 4, 2, 5, 2, 4, 4, 4, 3, 5, 2, 5, 4, 4, 4, 5, 5, 3, 4, 2, 4, 5, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 4, 3, 1, 3, 3, 1, 3, 3, 3, 4, 1, 5, 3, 4], "963": [3, 3, 3, 4, 3, 2, 4, 5, 4, 2, 5, 3, 1, 2, 2, 5, 3, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 3, 4, 3, 1, 4, 1, 3, 3, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 5, 4, 4, 2, 4, 3, 4, 3, 3, 4, 3, 2, 3, 1, 2, 3, 4, 4, 3, 4, 5, 3, 3, 2, 3, 4, 3, 1, 5, 1, 4, 3, 4, 3, 4, 3, 3, 2, 5, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 1, 4, 2, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 3, 4, 4, 3, 4, 2, 4, 4, 5, 5, 5, 5, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 1, 4, 3, 3, 4, 2, 3, 4, 4, 3, 5, 2, 1, 4, 3, 4, 5, 2, 5, 5, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 1, 5, 5, 4, 5, 2, 4, 3, 3, 3, 4, 3, 2, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 3, 5, 4, 3, 3, 4, 2, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 1, 3, 3, 2, 4, 5, 5, 4, 4, 3, 3, 3, 4, 2, 3, 5, 4, 2, 4, 3, 3, 1, 3, 3, 4, 2, 5, 4, 4, 5, 1, 3, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 3, 4, 5, 5, 4, 2, 3], "3532": [4, 3, 4, 5, 5, 4, 5, 4, 1, 4, 4, 1, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 5, 4, 4, 4, 2, 2, 3, 2, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 2, 3, 5, 4, 2, 1, 5, 3, 5, 4, 4, 5, 2, 3, 5, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3], "3736": [5, 4, 5, 5, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 2, 3, 5, 4, 4, 3, 2, 2, 2, 5, 3, 3, 3, 2, 4, 3, 3, 5, 2, 4, 3, 4, 5, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 5, 3, 3, 5, 5, 3, 2, 3, 4, 4, 5, 3, 3, 3, 3, 2, 3, 3, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 5, 3, 3, 2, 3, 4, 4, 5], "4184": [3, 3, 3, 3, 4, 2, 3, 5], "1597": [3, 5, 3, 3, 3, 2, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 2, 2, 4, 5, 4, 1, 2, 3, 3, 4, 1, 1, 4, 3, 5, 3, 3, 3, 3, 5, 4, 3, 5, 2, 3, 5, 1, 3, 5, 3, 3, 2, 4, 5, 2, 5, 4, 5, 3, 3, 3, 2, 4, 5, 3, 4, 3, 5, 5, 5, 2, 5, 2, 3, 2, 1, 4, 4, 2, 3, 1, 5, 2, 4, 3, 5, 1, 2, 4, 1, 3, 2, 5, 3, 3, 4, 3, 4, 1, 3, 5, 4, 3, 4, 5, 2, 5, 3, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 3, 1, 3, 4, 1, 3, 3, 4, 2, 5, 4, 2, 4, 3, 2, 2, 5, 4, 3, 4, 4, 3, 4, 3, 5, 2, 4, 5, 5, 5, 4, 4, 4, 2, 4, 4, 4, 4], "6005": [3, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3], "5576": [3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 2, 4, 5, 4, 3, 3, 4, 4, 5, 4, 5, 2, 5, 3, 4, 4, 4, 4, 2, 4, 5, 2, 5, 4, 5, 4, 5, 2, 4, 4, 2, 4, 3, 5, 4, 4, 4, 5, 3, 5, 3, 5, 3, 1, 3, 5, 5, 4, 4, 3, 2, 2, 5, 5, 4, 5, 1, 5, 5, 3, 5, 2, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 3, 5, 4, 4, 5, 4, 1, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 2, 5, 3, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 2, 5, 2, 3, 4, 4, 4, 4, 1, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 1, 1, 5, 2, 5, 2, 2, 2, 5, 3, 4, 5, 4, 5, 4, 2, 5, 5, 5, 4, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 1, 4, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 2, 1, 5, 4, 2, 5, 4, 4, 3, 3, 3, 2, 1, 2, 2, 1, 4, 4, 4, 3], "3807": [2, 4, 1, 5, 4, 5, 2, 5, 5, 5, 3, 5, 3, 3, 5, 2, 2, 5, 3, 4, 4, 3, 4, 4, 5, 1, 4, 1, 2, 4, 1, 4, 4, 5, 5, 2, 4, 5, 4, 5, 4, 4, 4, 2, 2, 3, 3, 2, 3, 3, 5, 1, 4, 4, 3, 4, 2, 5, 5, 2, 4, 5, 3, 4, 3, 4, 5, 2, 4, 1, 1, 1, 2, 2, 2, 3, 4, 4, 3, 3, 2, 4, 5, 5, 4, 2, 2, 3, 5, 3, 2, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 3, 3, 2, 4, 2, 2, 1, 2, 1, 5, 4, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 3, 3, 5, 2, 4, 4, 2, 3, 2, 4, 4, 3, 2, 4, 3, 2, 2, 2, 1, 4, 3, 3, 5, 4, 3, 5, 4, 1, 3, 3, 5, 2, 3, 5, 5, 3, 3, 4, 2, 2, 3, 1, 1, 1, 1, 4, 2, 4, 2, 2, 4, 2, 3, 4, 4, 1, 4, 1, 2, 4, 1, 2, 1, 1, 4, 1, 4, 3, 4, 4, 2, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 3, 5, 5, 4, 2, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 3, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 1, 5, 3, 4, 3, 2, 5, 5, 4, 4, 2, 3, 4, 5, 3, 2, 3, 5, 3, 1, 1, 3, 3, 5, 4, 3, 1, 5, 4, 5, 5, 4, 1, 2, 3, 5, 4, 4, 4, 3, 4, 5, 3, 1, 4, 2, 2, 5, 3, 4, 2, 3, 3, 4, 4, 3, 2, 4, 4, 3, 3, 5, 2, 3, 4, 2, 5, 3, 5, 5, 5, 5, 2, 1, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 2, 3, 3, 2, 5, 1, 3, 2, 2, 1, 1, 5, 5, 3, 4, 1, 1, 4, 4, 4, 1, 2, 2, 2, 1, 5, 1, 2, 2, 1, 2, 3, 2, 2, 4, 4, 3, 3, 4, 4, 2, 1, 5, 5, 1, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 1, 2, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 2, 3, 5, 3, 4, 4, 2, 5, 2, 3, 3, 3, 2, 4, 5, 4, 4, 2], "735": [5, 3, 5, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 3, 4, 5, 2, 3, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 3, 3, 4, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 2, 5, 4, 4, 3, 4, 5, 3, 1, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4], "4261": [5, 5, 1, 5, 3, 4, 5, 4, 5, 5, 3, 3, 5, 3, 3, 4, 3, 3, 5, 4, 4, 3, 2, 2, 1, 4, 4, 4, 3, 4, 1, 5, 3, 2, 3, 2, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 3, 5, 2, 5, 4, 3, 1, 3, 5, 2, 3, 2, 2, 3, 5, 5, 5, 3, 2, 2, 3, 3, 1, 3, 4, 5, 4, 3, 2, 2, 3, 4, 2, 2, 2, 4, 3, 4, 2, 2, 2, 2, 2, 1, 3, 4, 1, 4, 4, 4, 4, 3, 2, 4, 3, 3, 5, 3, 4, 4, 3, 3, 2, 3, 2, 2, 4, 4, 4, 1, 4, 5, 2, 2, 5, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 5, 2, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 2, 1, 3, 2, 3, 3, 4, 4, 3, 3, 1, 2, 3, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 5, 2, 3, 4, 3, 2, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 2, 3, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 4, 5, 3, 5, 2, 4, 3, 4, 3, 2, 3, 4, 2, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4], "2163": [5, 5, 5, 5, 4, 5, 3, 1, 4, 5, 5, 5, 5, 1, 4, 5, 4, 1, 2, 2, 1, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 1, 5, 5, 5, 4, 5, 3, 5, 5, 5, 3, 5, 4, 1, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 3, 1, 1, 5, 5, 5, 3], "1674": [4, 4, 2, 4, 4, 5, 4, 4, 2, 3, 4, 4, 3, 4, 3, 5], "3510": [4, 4, 4, 3, 4, 3, 2, 5, 4, 1, 3, 5, 3, 5, 2, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 2, 5, 5, 5, 2, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 1, 4, 4, 3, 3, 2, 3, 5, 4, 4], "1044": [3, 4, 4, 2, 3, 4, 4, 2, 4, 5, 3, 3, 4, 3, 3, 5, 4, 3, 4, 2, 5, 3, 4, 4, 3, 4, 5, 3, 4, 3, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 2, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 2, 5, 3, 3, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4], "1755": [5, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 1, 1, 3, 1, 5, 3, 4, 5, 2, 5, 1, 4, 4, 5, 2, 4, 5, 4, 3, 5, 3, 2, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 2, 5, 2, 2, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 2, 2, 5, 4, 2, 4, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 3, 5, 3, 1, 5, 4, 5, 1, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 5, 3, 5, 2, 1, 2, 5, 5, 4, 5, 3, 5, 2, 1, 3, 5, 3, 3, 4, 4, 2, 5, 3, 5, 4, 3, 3, 3, 3, 3, 4, 5, 2, 2, 4, 3, 4, 5, 4, 5, 3, 5, 4, 3, 5, 4, 2, 5, 5, 1, 4, 3, 4, 1, 4, 2, 4, 4, 5, 5, 4, 4, 4, 1, 5, 5, 3, 5, 4, 2, 2, 5, 4, 5, 4, 4, 3, 2, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 5, 4, 2, 3, 3, 2, 1, 5, 4, 4, 4, 3, 2, 5, 5, 3, 5, 4, 2, 2, 4, 4, 5, 3, 5, 3, 5, 5, 2, 5, 2, 2, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 2, 3, 5, 4, 2, 4, 5, 5, 4, 2, 5, 5, 4, 2, 5, 3, 4, 2, 2, 5, 5, 4, 2, 2, 4, 4, 4, 5, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 1, 5, 5, 5, 4, 2, 3, 3, 4, 5, 3, 4, 5, 2, 3, 2, 3, 3], "5704": [5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 2, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4], "4638": [2, 1, 5, 4, 3, 1, 5, 1, 2, 1, 4, 5, 4, 3, 2, 2, 3, 1, 2, 5, 3, 1, 2, 5, 2, 3, 4], "3041": [2, 5, 3, 4, 5, 3, 5, 2, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 1, 4, 3, 5, 5, 5, 2, 5, 4, 5, 3, 4, 5, 3], "3212": [3, 1, 1, 1, 4, 5, 2, 2, 3, 2, 3, 2, 4, 4, 3, 4], "2647": [4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5], "3291": [2, 5, 3, 1, 5, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 5], "4089": [4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 3, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 1, 3, 3, 4, 3, 4, 5, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 1, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 2, 3, 5, 3, 1, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 5, 5, 3, 3, 4, 3, 4, 3, 4, 4, 5, 2, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 2, 3, 3, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 1, 3, 2, 4, 5, 4, 3, 3, 1, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 1, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 2, 4, 5, 3, 4, 2, 3, 4, 3, 4, 5, 5, 4, 2, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 3, 5, 3, 3, 5, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 5, 3, 1, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 2, 3, 2, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 3, 5, 5, 2, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 5, 4, 5, 3, 5, 3, 2, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 2, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 3, 4, 5, 2, 4, 4, 3, 2, 2, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4], "1223": [5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 2, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 2, 4, 3, 4, 4, 1, 5, 4, 4, 4, 3, 4, 4, 5, 3, 2, 2, 4, 4, 3, 4, 3, 3, 3, 5, 2, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 3, 5, 3, 5, 1, 4, 5, 3, 4, 3, 4, 1, 5, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 2, 4, 5, 5, 3, 5, 4, 4, 3, 3, 4, 4, 2], "2614": [5, 5, 4, 5, 3, 2, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 3, 4], "275": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 5, 4, 3, 2, 5, 5, 1, 3, 3, 5, 5, 5, 1, 1, 5, 5, 5, 3, 5, 5, 5, 3, 2, 5, 4, 5, 4, 2, 5, 5, 4, 5, 2, 3, 5, 5, 3, 5, 5, 5, 5, 5, 4], "5316": [4, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5], "3751": [4, 4, 5, 2, 4, 4, 3, 4, 5, 1, 4, 5, 5, 3, 5, 5, 5, 5, 5, 2, 3, 5, 3, 3, 2, 5, 4, 3, 4, 5, 2, 4, 3, 5, 3, 2, 3, 5, 3, 2, 5, 5, 5, 3, 4, 3, 3, 5, 5, 4, 2, 5, 4, 5, 5, 3, 5, 3, 1, 5, 5, 4, 4, 1, 5, 5, 3, 5, 3, 4, 5, 5, 3, 3, 3, 2, 5, 5, 5, 2, 4, 3, 3, 5, 4, 3, 3, 5, 3, 4, 5, 1, 4, 1, 4, 4, 5, 1, 2, 3, 5, 3, 2, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 3, 1, 3, 4, 1, 2, 3, 4, 4, 3, 3, 1, 5, 3, 3, 3, 2, 2, 2, 5, 3, 3, 5, 5, 3, 2, 4, 1, 2, 4, 5, 2, 3, 4, 3, 5, 1, 1, 4, 4, 5, 1, 1, 3, 5, 4, 2, 4, 3, 4, 4, 5, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 5, 5, 5, 3, 4, 4, 1, 3, 2, 2, 2, 3, 3, 5, 2, 5, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 5, 5, 3, 2, 2, 4, 5, 2, 5, 4, 2, 4, 2, 3, 4, 3, 3, 4, 5, 4, 3, 3, 1, 3, 5, 2, 2, 4, 3, 2, 1, 2, 1, 2, 3, 4, 3, 1, 4, 5, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 5, 4, 3, 5, 5, 3, 5, 4, 4, 2, 4, 2, 2, 5, 2, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 1, 3, 4, 3, 3, 2, 4, 3, 5, 4, 5, 1, 5, 3, 5, 3, 3, 4, 4, 3, 2, 5, 5, 5, 4, 3, 2, 5, 2, 4, 5, 4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 4, 5, 3, 1, 3, 3, 4, 5, 2, 4], "2417": [4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4], "69": [5, 3, 2, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 2, 4, 5, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 2, 5, 4, 5, 1], "4596": [2, 3, 3, 4, 4, 4, 3, 4, 5, 4, 1, 5, 4, 3, 5, 1, 2, 3, 3, 4, 3, 2, 2, 5, 3, 4, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 1, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 2, 3, 4, 5, 3, 5, 4, 1, 2, 2, 3, 3, 4, 5, 2, 4, 4, 4, 2, 4, 3, 5, 2, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 5, 2, 5, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 2, 4, 3, 4, 3, 4, 2, 2, 2, 4, 5, 3, 3, 4, 3, 1, 4, 1, 1, 1, 5, 4, 5, 3, 3, 1, 4, 2, 3, 4, 3, 3, 4, 1, 3, 2, 4, 4, 2, 2, 2, 5, 4, 4, 4, 3, 5, 1, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 3, 5], "1281": [3, 2, 3, 3, 5, 4, 3, 3, 1, 4, 4, 3, 3, 5, 4, 2, 5, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 5, 3, 1, 4, 3, 4, 5, 2, 2, 4, 3, 2, 3, 5, 3, 5, 3, 4, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 5, 5, 2, 2, 5, 5, 5, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 3, 2, 4, 4, 1, 2, 5, 4, 2, 1, 4, 4, 3, 4, 5, 5, 3, 4, 3, 2, 3, 5, 2, 5, 3, 4, 3, 2, 5, 3, 4, 4, 4, 4, 4, 2], "1041": [4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 2, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 4, 2, 4, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5], "4275": [3, 4, 1, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 2, 4, 5, 4], "5882": [5, 4, 2, 4, 3, 5, 2, 5, 4, 3, 3, 5, 2, 5, 5, 5, 5, 4, 1, 5, 4, 1, 4, 3, 2, 4, 3, 5, 5, 5, 3, 4, 3, 5, 4, 3], "481": [4, 4, 5, 4, 2, 4, 5, 4, 1, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 4, 5, 4, 5, 3, 5, 3, 5, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 3, 2, 4, 3, 5, 3, 4, 4, 5, 4, 2, 3, 5, 4, 3, 5, 4, 4, 3, 2, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 2, 3, 5, 4, 4, 5, 3, 5, 5, 3, 4, 3, 3, 4, 2, 3, 3, 5, 1, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 5, 4, 3, 5, 4, 5, 4, 2, 1, 1, 5, 3, 4, 5, 2, 2, 2, 1, 5, 4, 4, 5, 5, 3, 3, 3, 4, 5, 3, 5, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 1, 5, 5, 4, 4, 1, 4, 4, 3, 5, 5, 4, 4, 3, 2, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 2, 5], "2301": [4, 5, 4, 4, 5, 5, 5, 3, 5, 3, 5, 3, 3, 4, 3, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 3, 4, 3, 3, 5, 2, 3, 4, 4, 4, 5, 3], "5771": [3, 2, 3, 4, 4, 3, 3, 2, 1, 2, 5, 3, 4, 5, 4, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 1, 2, 2, 1, 5, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 5, 2, 3, 3, 3, 2, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 2, 3, 4, 4, 4, 1, 2, 1, 4, 3, 2, 4, 2, 2, 2, 4, 4, 2, 4, 3, 5, 3, 5, 2, 5, 5, 2, 5, 4, 3, 4, 1, 1, 1, 1, 4, 3, 4, 3, 2, 2, 2, 5, 4, 5, 3, 4, 5, 4, 4, 4, 3, 2, 3, 4, 4, 2, 2, 4, 4, 3, 5, 3, 3, 4, 3, 4, 4, 2, 2, 4, 3, 4, 3, 5, 5, 5, 3, 3, 4, 3, 3, 3, 4, 2, 5, 4, 4, 2, 2, 2, 3, 3, 5, 5, 2, 5, 5, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 4, 5, 4, 2, 5, 5, 4, 5, 3, 2, 5, 2, 1, 4, 5, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 4, 5, 4, 3, 3, 3, 2, 3, 2, 4, 4, 5, 3, 2, 5, 4, 1, 2, 3, 2, 3, 4, 2, 4, 3, 3, 5, 3, 5, 5, 2, 5, 3, 2, 5, 4, 3], "5287": [2, 3, 2, 3, 4, 4, 2, 3, 3, 4, 2, 4, 4, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 5, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 2, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 3, 2, 1, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 2, 1, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 1, 5, 3, 3, 5, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3], "6040": [4, 4, 3, 4, 2, 5, 2, 1, 4, 3, 5, 2, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 5, 5, 1, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 5, 5, 2, 4, 4, 4, 4, 3, 1, 2, 3, 3, 1, 3, 3, 2, 5, 4, 3, 5, 2, 5, 2, 2, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 2, 3, 5, 4, 4, 4, 5, 4, 1, 4, 2, 4, 5, 5, 4, 5, 1, 4, 3, 3, 5, 1, 2, 3, 4, 4, 5, 5, 5, 2, 4, 5, 1, 1, 3, 4, 5, 4, 2, 4, 5, 1, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 5, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 1, 1, 3, 4, 4, 5, 4, 1, 3, 5, 4, 5, 2, 5, 5, 4, 4, 3, 5, 5, 2, 4, 5, 3, 5, 4, 2, 4, 4, 5, 3, 3, 4, 2, 3, 4, 1, 4, 4, 2, 4, 5, 5, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 2, 4, 4, 2, 3, 1, 3, 4, 4, 4, 5, 1, 5, 4, 4, 4, 5, 4, 2, 5, 4, 4, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 3, 4, 4, 4, 3, 5, 4, 5, 3, 3, 4, 2, 3, 4, 5, 3, 4, 2, 4, 3, 3, 3, 4, 5, 2, 1, 5, 5, 2, 3, 4, 2, 4, 3, 2, 2, 1, 3, 4, 5, 1, 3, 2, 3, 2, 2, 1, 4, 3, 4, 4, 4, 4, 1, 5, 1, 4, 5, 4, 5, 4, 5, 2, 4, 3, 3, 5, 4, 4, 3, 1, 5, 5, 4, 4], "3647": [5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 5, 2, 3, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4], "2748": [4, 5, 5, 1, 4, 5, 1, 1, 4, 5, 5, 1, 1, 3, 1, 5, 5, 1, 4, 5, 4, 3, 4, 1, 1, 5, 3, 5, 3, 2, 4, 4, 4, 5, 1, 2, 1, 1, 5, 4, 5, 1, 5, 5, 1, 3, 1, 5, 3, 4, 1, 5, 1, 5, 5, 1, 3, 1, 1, 1, 4, 1, 4, 1, 1, 4, 1, 2, 1, 1, 5, 1, 5, 1, 5, 3, 4, 4, 5, 3, 1, 5, 3, 3, 4, 1, 4, 5, 3, 5, 4, 1, 5, 1, 1, 1, 5, 1, 5, 1, 4, 2, 1, 5, 4, 1, 1, 1, 2, 4, 5, 1, 3, 1, 4, 1, 4, 3, 1, 5, 2, 3, 1, 5, 5, 5, 5, 2, 5, 3, 5, 5, 1, 4, 1, 1, 3, 4, 5, 1, 1, 1, 1, 1, 1, 4, 1, 4, 4, 2, 4, 4, 1, 3, 1, 1, 1, 1, 4, 3, 1, 3, 2, 1, 1, 1, 3, 1, 5, 1, 5, 3, 1, 1, 1, 1, 5, 5, 1, 5, 1, 5, 5, 2, 5, 1, 2, 1, 4, 5, 2, 1, 4, 1, 1, 4, 4, 5, 1, 1, 3, 1, 2, 3, 1, 5, 1, 1, 5, 2, 1, 1, 5, 1, 1, 1, 1, 5, 4, 3, 5, 1, 1, 4, 3, 3, 1, 4, 2, 2, 4, 4, 1, 2, 1, 5, 1, 5, 1, 1, 2, 4, 5, 1, 1, 4, 1, 4, 1, 4, 1, 1, 4, 4, 4, 1, 5, 1], "2857": [3, 2, 3, 3, 2, 4, 4, 3, 1, 4, 4, 3, 2, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 2, 3, 1, 3, 2, 2, 1, 3, 3, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 2, 3, 4, 3, 3, 2, 4, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 2, 3, 2, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 1, 3, 3, 2, 3, 3, 5, 3, 2, 3, 4, 1, 3, 5, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3, 4, 3, 2, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 1, 4, 3, 3, 2, 2, 2, 4, 3, 4, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 3, 5, 3, 3, 2, 1, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 2, 4, 2, 4, 4, 4, 4, 2, 4, 4, 2, 4, 2, 4, 3, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 1, 3, 2, 4, 3, 2, 4, 2, 2, 2, 4, 4, 3, 3, 3, 5, 3, 3, 4, 2, 3, 3, 4, 3, 5, 4, 4, 3, 2, 2, 3, 3, 3, 4, 3, 3, 2, 2, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 1, 3, 3, 4, 3, 4, 4, 3, 5, 3, 4, 2, 2, 3, 3, 3, 4, 2, 3, 5, 3, 3, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 3, 2, 5, 3, 4, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 3, 3, 3, 3, 4, 3, 5, 3, 3, 2, 2, 2, 4, 3, 3, 2, 3, 3, 3, 5, 5, 3, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 5, 2, 4, 4, 1, 4, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 2, 1, 1, 4, 3, 3, 4, 3, 2, 1, 2, 4, 4, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 5, 1, 4, 3, 4, 5, 3, 4, 5, 5, 5, 3, 2, 2, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 1, 2, 3, 3, 2, 2, 4, 2, 3, 4, 4, 5, 3, 2, 3, 3, 5, 4, 3, 2, 4, 3, 2, 3, 3, 3, 4, 3, 3, 4, 5, 2, 3, 2, 3, 3, 3, 2, 4, 5, 3, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 3, 3, 3], "3062": [4, 3, 5, 5, 1, 5, 1, 1, 3, 4, 4, 3, 2, 1, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 2, 4, 1, 3, 1, 3, 4, 3, 4, 4, 3, 3], "2521": [5, 5, 3, 3, 4, 3, 5, 3, 2, 4, 5, 4, 3, 4, 5, 2, 5, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 2, 3, 5, 4], "2714": [4, 2, 2, 5, 5, 3, 3, 4, 3, 4, 5, 4, 3, 3, 2, 3, 5, 4], "3561": [4, 5, 5, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 3, 4, 4], "3682": [4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 2, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 3, 4, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5], "3609": [1, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 2, 3, 1, 3, 3, 2, 5, 3, 2, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 2, 1, 2, 4, 2, 3, 3, 5, 3, 5, 2, 3, 5, 4, 3, 2, 4, 3, 4, 4, 3, 3, 2, 3, 3, 2, 2, 5, 3, 4, 3, 3, 4, 3, 3, 4, 5, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 2, 2, 4, 2, 3, 3, 3, 3, 3, 2, 3, 4, 3], "2503": [5, 4, 1, 5, 5, 1, 3, 1, 1, 5, 4, 3, 3, 5, 4, 3, 4, 5, 1, 3, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 3, 4, 1, 5, 2, 2, 3, 1, 2, 4, 5, 4, 5, 3, 3, 2, 1, 1, 3, 4, 1, 2, 4, 4, 3, 2, 4, 2, 4, 4, 3, 3, 2, 1, 1, 1, 2, 4, 4, 3, 3, 5, 1, 5, 3, 4, 2, 4, 5, 5, 2, 4, 2, 4, 4, 1, 4, 4, 1, 4, 3, 3, 5, 4, 3, 1, 3, 4, 5, 2, 1, 1, 2, 2, 2, 4, 4, 3, 3, 2, 1, 4, 3, 3, 4, 5, 3, 1, 2, 1, 3, 4, 4, 1, 3, 1, 3, 1, 4, 5, 3, 3, 4, 2, 2, 3, 2, 3, 2, 2, 5, 3, 3, 1, 3, 1, 5, 4, 3, 4, 4, 3, 3, 2, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 1, 4, 2, 2, 3, 1, 5, 2, 3, 1, 3], "5572": [4, 5, 3, 3, 5, 4, 4, 2, 4, 3, 3, 4, 2, 5, 5, 4, 4, 4, 4, 5, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 1, 4, 1, 4, 1, 5, 5, 5, 5, 5, 5], "2068": [5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 5, 5, 2, 3, 4, 5, 5, 3, 5, 4, 3, 4, 4, 5, 3, 5, 3, 2, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 4, 3, 2, 5, 3, 1, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 2, 1, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 3, 4, 5, 5, 3, 5, 2, 5, 5, 5, 2, 5, 3, 3, 4, 4, 5, 4, 3, 3, 4, 5, 3], "5901": [1, 1, 4, 2, 5, 5, 4, 3, 1, 4, 1, 1, 5, 3, 5, 2, 1, 4, 5, 3, 4, 5, 1, 1], "2914": [5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 3, 3, 5, 4, 1, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 5], "3500": [5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 5, 2, 2, 5, 5, 4, 3, 4, 4, 5, 4, 4, 2, 3, 3, 5, 1, 2, 5, 3, 5, 3, 5, 3, 5, 3, 5, 2, 2, 4, 3, 3, 5, 1, 3, 2, 4, 2, 4, 3, 5, 3, 5, 3, 5, 5, 5], "2753": [4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 2, 4, 4, 5, 5, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 1, 4, 4, 3, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 2, 4, 4, 4, 2, 4, 4, 5, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 2, 5, 5, 3, 2, 3, 3, 4, 2, 4, 5, 5, 4, 4, 3, 5, 3, 3, 5, 3, 4, 5, 5, 4, 5, 5, 4, 2, 3, 4, 2, 4, 5, 4, 4, 3, 4, 5, 2, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 5, 3, 3, 4, 4, 5, 3, 5, 5, 3, 3, 5, 3, 4, 3, 3, 3, 5, 5, 3, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 5], "4431": [1, 4, 2, 5, 1, 3, 5, 5, 4, 5, 3, 4, 3, 1, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 4, 3, 5, 1, 1, 3, 2, 4, 5, 4, 3], "537": [4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 1, 5, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5], "5104": [5, 5, 3, 5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4], "2868": [3, 1, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 1, 4, 5, 2, 3, 3, 5, 4, 4, 5, 2, 1, 1, 4, 4, 5, 3, 1, 5, 3, 2, 5, 2, 4, 3, 2, 2, 5, 5, 5, 2, 4, 4, 5, 5, 3, 2, 2, 5, 4, 3, 5, 3, 3, 4, 3, 5, 5, 4, 2, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 1, 4, 5, 4, 2, 4, 2, 4, 3, 4, 2, 3, 5, 3, 3, 3, 4, 5, 4, 4, 5, 5, 4, 1, 4, 5, 2, 4, 3, 5, 5, 2, 1, 2, 3, 5, 2, 5, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3], "1563": [5, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 5, 4], "5610": [5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3], "4953": [3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 3, 3, 4, 5, 1, 2, 4, 5, 4, 4, 5, 3, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 5, 3, 5, 4, 2, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3], "2948": [3, 5, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5], "557": [4, 5, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 2, 5, 3, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 5, 4], "5876": [3, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4], "1341": [1, 2, 4, 3, 1, 1, 1, 3, 5, 1, 5, 1, 4, 1, 1, 4, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 2, 1, 1, 4, 3, 1, 1, 1, 5, 1, 5, 1, 5, 3, 1, 5, 1, 5, 4, 1, 5, 1, 3, 5, 4, 5, 1, 1], "2453": [5, 4, 2, 5, 4, 4, 5, 4, 2, 4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 3, 5, 2, 1, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 2, 5, 4, 3, 4, 4, 3, 4, 3, 5, 3, 5, 4, 3, 1, 2, 5, 4, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 1, 2, 4, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 5, 4, 2, 3, 1, 5, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 3, 5, 4, 2, 5, 3, 3, 3, 4, 2, 3, 3, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 2, 3, 4, 3, 5, 3, 3, 4, 2, 4, 3, 4, 4, 3, 4, 1, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 1, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 2, 4, 4, 5, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 5, 3, 2, 4, 1, 4, 3, 5, 2, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 5, 3, 3, 4, 3, 5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 1, 2, 3, 2, 1, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 1, 5, 3, 3, 4, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 4, 5, 4, 3, 5, 3, 3, 2, 5, 2, 3, 5, 5, 5, 3, 3, 4, 3, 1, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 1, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 1, 5, 3, 4, 5, 4, 5, 4, 3, 3, 3, 1, 4, 3, 4, 3, 3, 3, 2, 3, 3, 2, 4, 5, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 2, 3, 4, 4, 3, 2, 2, 1, 3, 4, 4, 2, 4, 3, 4, 4, 5, 4, 4, 2, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 5, 2, 5, 5, 3, 4, 3, 5, 2, 4, 3, 3, 4], "3913": [5, 5, 5, 5, 5, 5, 3, 3, 5, 3, 5, 5, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 5, 5, 5, 3, 5, 2, 3, 3, 3, 5, 4, 4, 5, 2, 5, 4, 5, 3, 4, 3, 1, 4, 4, 5, 4, 5, 5, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 5, 4, 3, 3, 4, 4, 4, 5, 2, 4, 2, 5, 3, 3, 3, 5, 5, 3, 4, 5, 2, 5, 5, 5, 1, 3, 4, 5, 5, 4, 3, 5, 3, 5, 3, 3, 5, 3, 3, 5, 4, 3, 4, 5, 3, 3, 3, 5, 3, 2, 3], "4286": [4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 3, 3, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 1, 5, 5, 1, 1, 1, 5, 1, 4, 5, 2, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 1, 1, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 2, 5, 3, 1, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 2, 4, 4, 1, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 1, 1, 2, 4, 4, 1, 5, 4, 4, 3, 3, 4, 3, 4, 5, 1, 5, 1, 5, 5, 3, 5, 4, 5, 5, 5, 5, 2, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 3, 3, 4, 4, 2, 5, 4, 4, 4, 5, 1, 1, 5, 4, 4, 4, 2, 3, 5, 4, 4, 4, 3, 3, 1], "3079": [5, 4, 5, 4, 3, 5, 4, 5, 2, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 2, 2, 3, 2, 4, 5, 3, 4, 1, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4], "5859": [4, 4, 4, 3, 4, 4, 5, 5, 3, 5, 5, 3, 3, 1, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 2, 4, 4, 3, 5], "1224": [5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 2, 4, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 3, 5, 4, 5, 2, 5, 5, 5, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 3, 4, 5, 3, 3, 5, 4, 2, 4, 4, 5, 3, 4, 1, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 5, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 2, 4, 4, 5, 3, 3, 5, 2, 5, 5, 4, 4, 4, 4, 5, 3, 3, 5, 3, 3, 5, 4, 4, 5, 5, 5, 4, 5, 2, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 2, 3, 2, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 2, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 2, 4, 5, 2, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 1, 5, 4, 4, 3, 2, 4, 4, 4, 2, 4, 5, 3, 5, 4, 4, 3, 4, 4, 5, 5, 3, 2, 5, 3, 2, 4, 4, 3, 2, 4, 4, 5, 3, 2, 4, 4, 4, 3, 4, 5, 2, 5, 5, 2, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 2, 5, 2, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 2, 4, 2, 4, 5, 2, 3, 2, 5, 5, 5, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 5, 5, 3, 3, 3, 5, 2, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 2, 3, 5, 5, 3, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4], "1904": [3, 5, 3, 3, 2, 5, 4, 3, 4, 4, 5, 3, 2, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 1, 4, 5, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 5, 3, 4, 5, 3, 4, 2, 4, 2, 3, 4, 3, 2, 4, 4, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 2, 4, 3, 1, 3, 4, 2, 4, 2, 3, 1, 4, 3, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 5, 3, 2, 1, 1, 3, 5, 3, 2, 2, 3, 4, 3, 4, 2, 3, 4, 3, 5, 3, 3, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 2, 3, 1, 4, 2, 3, 3, 4, 4, 2, 4, 5, 3, 3, 2, 2, 3, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 5, 5, 5, 4, 3, 2, 2, 4, 1, 3, 3, 3, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 5, 3, 5, 3, 1, 2, 4, 2, 3, 4, 2, 2, 4, 4, 4, 4, 4, 5, 2, 3, 4, 2, 3, 2, 3, 4, 4, 5, 2, 4, 3, 2, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 2, 2, 5, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 3, 5, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 2, 2, 5, 4, 4, 4, 3, 4, 1, 1, 4, 3, 4, 4, 2, 4, 4, 3, 4, 5, 4, 3, 4, 4, 2, 4, 4, 5, 2, 4, 4, 3, 3, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 5, 3], "477": [3, 5, 3, 3, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 3, 3, 3, 3, 5, 5, 2, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 5, 3, 3, 3, 3, 3, 3, 1, 3, 5, 3, 4, 4, 3, 3, 4, 5, 5, 3, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 5, 5, 5, 5, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 4, 4, 5, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 2, 4, 3, 5, 5, 3, 4], "4341": [3, 5, 1, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 3, 5, 3, 3, 4, 4, 4], "15": [4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 2, 2, 4, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 1, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 4, 4, 2, 5, 2, 3, 4, 4, 4, 2, 4, 2, 4, 3, 4, 3, 4], "2140": [2, 2, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 1, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 3, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 2, 3, 5, 1, 4, 4, 4, 4, 3, 2, 4, 3, 4, 3, 5, 4, 3, 4, 2, 4, 3, 4, 2, 4, 3, 3, 4, 5, 3, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 4, 5], "5186": [4, 5, 4, 2, 5, 5, 2, 3, 5, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 2, 5, 4, 3, 5, 3, 3, 4, 3, 3, 2, 5, 3, 4, 5, 3, 2, 3, 4, 4, 2, 4, 4, 4, 2], "3246": [5, 3, 4, 3, 5, 1, 5, 4, 5, 3, 1, 5, 2, 2, 3, 2, 4, 1, 4, 3, 4, 3, 4, 1, 3, 4, 4, 5, 4, 5, 3, 3, 3, 4, 5, 4, 2, 5, 5, 3, 2, 3, 4, 5, 1, 4, 3, 5, 2, 2, 4, 3, 1, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 2, 3, 4, 1, 4, 3, 2, 2, 4, 4, 4, 3, 1, 5, 4, 4, 4, 1, 4, 2, 3, 4, 3, 4, 4, 3, 5, 4, 1, 5, 1, 3, 4, 2, 4, 1, 3, 5, 3, 5, 4, 4, 1, 5, 5, 4, 2, 3, 2, 3, 3, 3, 4, 1, 2, 2, 4, 4, 2, 4, 4, 5, 5, 5, 2, 3, 1, 1, 4, 4, 3, 3, 4, 4, 5, 4, 2, 5, 3, 2, 3, 5, 1, 3, 4, 3, 2, 5, 2, 4, 5, 1, 4, 4, 4, 4, 3, 5, 5, 5, 4, 2, 4, 5, 4], "1660": [2, 4, 4, 5, 4, 5, 4, 2, 5, 3, 3, 4, 2, 4, 3, 4, 5, 4, 5, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 3, 4, 3, 4], "2016": [5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 2, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 2, 4, 3, 4, 3, 3, 4, 4, 5, 5, 5, 3, 5, 4, 3, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4], "5": [4, 5, 3, 2, 4, 4, 2, 3, 2, 3, 4, 3, 1, 3, 4, 1, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 3, 2, 3, 2, 3, 2, 5, 4, 2, 5, 2, 2, 5, 1, 4, 2, 3, 4, 3, 3, 1, 4, 4, 1, 4, 2, 3, 2, 5, 4, 1, 2, 3, 4, 1, 3, 3, 4, 3, 4, 3, 1, 4, 3, 1, 3, 2, 4, 3, 3, 1, 2, 5, 3, 3, 2, 3, 1, 2, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 2, 4, 4, 1, 2, 5, 3, 1, 4, 2, 5, 4, 4, 3, 4, 3, 3, 2, 2, 2, 3, 2, 4, 3, 4, 4, 1, 2, 3, 4], "3811": [3, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 2, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 5, 2, 5, 4, 3, 3, 4, 5, 5, 5, 3, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 2, 3, 4, 3, 4, 2, 3, 2, 3, 4, 4, 5, 2, 3, 4, 3, 4, 4, 4, 2, 5, 3, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 5, 3, 5, 5, 3, 3, 4, 4, 5, 4, 4, 3, 4], "3463": [5, 4, 5, 5, 2, 5, 4, 2, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 5, 2, 3, 2, 3, 5, 2, 4, 5, 3, 5, 3, 5, 2, 4, 4], "4975": [4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 2, 2, 4, 4, 4, 3, 4, 5, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 2, 5, 3, 4, 5, 4, 3, 4, 2, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 2, 3], "1818": [4, 4, 2, 4, 3, 3, 4, 3, 2, 4, 2, 3, 5, 4, 4, 5, 4, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 2, 4, 3, 4, 4], "401": [4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 3, 4, 3, 2, 5, 2, 3, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 2, 5, 4, 3, 4, 3, 5, 4, 4, 2, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 3, 3, 5, 4, 4], "3304": [5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 3, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 3, 3, 3, 2, 4, 4, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 3, 5, 5, 3, 3, 1, 4, 5, 4, 4, 3, 3, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 2, 4, 5, 4, 5, 4, 5, 4, 2, 5, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 2, 4, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 3, 5], "3373": [5, 5, 5, 3, 4, 5, 3, 2, 2, 5, 3, 3, 5, 2, 1, 1, 4, 3, 4, 3, 5, 5, 5], "4612": [4, 3, 4, 5, 5, 3, 3, 3, 5, 3, 3, 5, 4, 3, 3, 5, 3, 4, 4, 4, 2, 4, 4, 2, 5, 3, 3], "4176": [5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5], "2903": [5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 2, 5, 5, 3, 2, 5, 2, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 3, 5, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 2, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5], "5558": [2, 3, 1, 2, 2, 5, 3, 2, 2, 4, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 3, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 2, 4, 1, 5, 1, 3, 2, 1, 2, 4, 5, 2, 2, 2, 1, 4, 4, 1, 4, 3, 3, 3, 1, 5, 4, 4, 3, 2, 1, 1, 5, 3, 4, 2, 1, 3, 2, 4, 2, 5, 4, 2, 1, 1, 1, 5, 4, 4, 2, 4, 2, 1, 4, 3, 3, 1, 5, 2, 3, 1, 1, 1, 1, 1, 2, 3, 4, 1, 4, 5, 3, 1, 1, 5, 4, 2, 3, 5, 2, 5, 4, 1, 5, 1, 4, 1, 1, 2, 4, 2, 1, 4, 4, 4, 1, 3, 4, 4, 1, 3, 1, 2, 5, 2, 1, 1, 1, 3, 4, 3, 4, 3, 5, 4, 1, 1, 3, 2, 2, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 2, 1, 2, 1, 3, 3, 4, 2, 1, 3, 1, 2, 2, 1, 3, 2], "2153": [5, 3, 2, 4, 5, 5, 2, 2, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 3, 3, 3, 5, 3, 5, 5, 5, 3, 5, 4, 4, 4, 5, 5, 4, 2, 5, 2, 5, 5, 3, 5, 5, 5, 4, 2, 5, 2, 4, 2, 3, 3, 2, 4, 5, 3, 4, 5, 4, 2, 2, 3, 3, 5, 2, 5, 4, 5, 2, 1, 2, 2, 5, 1, 5, 4, 2, 3, 3, 4, 4, 5, 2, 2, 3, 5, 3, 2, 5, 4, 4, 2, 5, 4, 3, 5, 4, 5, 2, 5, 2, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 4, 3, 1, 2, 3, 5, 5, 4, 3, 5, 1, 4, 4, 5, 2, 5, 3, 5, 3, 5, 5, 5, 4, 3, 3, 5, 2, 5, 4, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 4, 3, 3, 2, 2, 2, 3, 4, 5, 3, 4, 3, 2, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 4, 2, 2, 3, 5, 5, 5, 3, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 3, 3, 3, 2, 4, 5, 4, 5, 5, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 2, 5, 5, 5, 4, 4, 5, 4, 3, 2, 5, 2, 5, 4, 4, 3, 2, 3, 5, 3, 4, 3, 5, 3, 3, 3, 5, 5, 3, 5, 5, 3, 5, 3, 3, 5, 4, 2, 3, 4, 5, 5, 5, 2, 3, 1, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 2, 2, 4, 5, 3], "2699": [2, 5, 5, 5, 3, 3, 5, 5, 3, 4, 4, 2, 4, 5, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 2, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 3, 2, 4, 4, 5, 5, 2, 5, 5, 4, 3, 4, 5, 5, 4, 3, 3, 3, 5, 5], "3157": [3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 5, 3, 2, 3, 4, 2, 3, 2, 3, 3, 4, 4, 5, 5, 4, 5, 3, 4, 3, 3, 3, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 3, 4, 2, 3, 4, 3, 2, 3, 3, 4, 3, 5, 3, 4, 3, 5, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 5, 5, 3, 4, 3, 4, 4], "25": [4, 2, 5, 4, 3, 5, 5, 3, 5, 5, 5, 2, 4, 2, 5, 3, 5, 3, 2, 5, 3, 5, 3, 5, 4, 4, 4, 3, 2, 3, 3, 3, 5, 3, 4, 4, 4, 5, 1, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4], "3172": [4, 5, 5, 2, 4, 3, 4, 2, 5, 4, 5, 5, 5, 1, 1, 5, 5, 1, 3, 4, 5, 3, 4, 4, 2, 5, 5, 4, 3, 3, 2, 4, 4, 1, 2, 5, 5, 3, 3, 5, 5, 5, 5, 2, 4, 4, 5, 4, 4, 5, 3, 2, 4, 3, 3, 4, 5, 2, 2, 2, 5, 3, 2, 5, 4, 1, 3, 5, 2, 2, 2, 4, 5, 5, 5, 1, 4, 5, 5], "2807": [3, 4, 5, 3, 1, 3, 3, 5, 3, 4, 3, 2, 5, 4, 4, 5, 3, 2, 3, 1, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 2, 5, 4, 3, 3, 3, 4, 4, 2, 3, 4, 5, 5, 1, 4, 3, 4, 4, 3, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 1, 5, 4, 3, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 3, 1, 4, 3, 3, 3, 1, 3, 4, 4, 5, 3, 3, 1, 3, 4, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 5, 4, 4, 1, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 1, 2, 1, 4, 3, 4, 3, 4, 3, 2, 4, 5, 3, 5, 3, 2, 3, 4, 4, 3, 3, 2, 4, 1, 4, 3, 3, 1, 2, 3, 3, 5, 4, 4, 3, 3, 3, 1, 3, 5, 2, 2, 2, 2, 2, 2, 3, 4, 5, 4, 3, 3, 5, 3, 5, 3, 2, 5, 4, 1, 3, 1, 3, 4, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 4, 1, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 5, 4, 2, 3, 5, 1, 2, 3, 3, 2, 1, 4, 5, 4, 3, 1, 5, 1, 1, 4, 3, 4, 3, 2, 1, 5, 5, 3, 2, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 3, 4, 3, 2, 1, 4, 4, 1, 3], "255": [4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4], "5905": [2, 5, 4, 1, 1, 4, 4, 3, 3, 5, 3, 5, 4, 3, 2, 4, 2, 5, 5, 4, 4, 5, 4, 4, 4, 2, 4, 2, 3, 5, 1, 4, 4, 5, 2, 5, 4, 4, 1, 1, 3, 5, 2, 5, 3, 5, 2, 4, 5, 5, 2, 4, 5, 1, 4, 1, 1, 5, 1, 3, 2, 4, 2, 4, 5, 2, 2, 2, 4, 3, 5, 4, 4, 3, 4, 1, 5, 4, 2, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 2, 2, 4, 5, 5, 5, 3, 4, 1, 1, 4, 5, 4, 4, 3, 2, 5, 4, 2, 5, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 2, 3, 5, 3, 4, 3, 5, 4, 4, 3, 4], "5870": [1, 5, 2, 4, 5, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 1, 4, 5, 3, 3, 3], "2874": [3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 3, 4, 4, 3, 5, 5, 3, 5, 4, 4, 3, 4, 4, 5, 3, 5, 4, 3, 5, 3, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 2, 4, 3, 4, 5, 5, 5, 5, 3, 3, 3, 5, 5, 3, 3, 4, 3, 3, 4, 5, 3, 3, 2, 4, 4, 5, 4, 3, 3, 5, 3, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 2, 4], "2664": [4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 1, 4, 4, 4, 4, 1, 4, 5, 5, 1, 1, 4, 5, 4, 5, 3, 2, 4, 2, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 5, 3, 3, 3, 5, 5, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 5, 4, 3, 4, 4, 3, 4, 4, 2, 3, 2, 3, 4, 5, 2, 4, 4, 3, 4, 3, 3, 3, 3, 3, 1, 4, 5, 1, 4, 3, 3, 1, 3, 4, 3, 3, 2, 3, 3, 2, 2, 4, 3, 5, 4, 3, 3, 1, 4, 5, 4, 4, 4, 3, 1, 3, 3, 2, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 1, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 1, 5, 4, 3, 4, 3, 2, 5, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 2, 4, 3, 5, 3, 3, 5, 5, 5, 4, 3, 5, 4, 4, 1, 4, 4, 5, 3, 3, 2, 4, 4, 4, 2, 2, 3, 2, 3, 5, 4, 4, 5, 1, 5, 4, 4, 5, 4, 4, 4, 2, 4, 4, 3, 5, 2, 4, 4, 2, 5, 4, 4, 5, 5, 4, 3, 5, 1, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 1, 5, 5, 4, 3, 4, 1, 3, 4, 3, 4, 5, 2, 4, 4, 4, 1, 4, 4, 5, 3, 4, 4, 4, 3, 2, 4, 5, 4, 4, 2, 5, 1], "3415": [4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 3, 2, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 5, 1, 5, 4, 5, 5, 2, 4, 1, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4], "2682": [1, 5, 4, 4, 5, 1, 3, 4, 3, 5, 5, 5, 2, 4, 1, 4, 5, 4, 5, 5, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 5, 3, 4, 1, 4, 2, 5, 2, 4, 3, 3, 5, 4, 1, 1, 2, 1, 2, 4, 1, 4, 3, 4, 3, 1, 1, 2, 1, 1, 4, 5, 3, 1, 3, 2, 1, 5, 1, 4, 4, 3, 3, 1, 1, 1, 5, 2, 1, 4, 3], "1222": [3, 2, 5, 2, 4, 3, 3, 2, 5, 5, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3], "2619": [5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 3, 5, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 2, 5, 5, 4, 5, 3, 4, 4, 5], "1455": [4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 5, 4, 2, 4, 4, 4, 5, 3, 4, 4, 3, 5, 3, 5, 3, 4, 3, 5, 3, 3, 3, 3, 5, 4, 5, 3, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 5, 5, 3, 4], "3731": [5, 1, 3, 3, 1, 4, 2, 5, 2, 2, 1, 3, 4, 1, 3, 1, 2, 2, 4, 1, 3, 4, 1, 2, 3, 2, 2, 1, 5, 1, 2, 5, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 3, 1, 4, 5, 2, 4, 2, 1, 5, 5, 2, 3, 3, 2, 4, 2, 1, 5, 3, 1, 2, 3, 2, 5, 5, 4, 3, 4, 4, 3, 3, 2, 1, 2, 3, 2, 1, 2, 5, 4, 5, 2, 3, 5, 4, 3, 1, 5, 2, 5, 3, 2, 1, 4, 2, 5, 3, 4, 1, 5, 3, 4, 1, 3, 5, 4, 1], "2324": [4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 4, 2, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 2, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 2, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 2, 4], "2850": [3, 2, 4, 2, 4, 2, 3, 1, 2, 5, 2, 3, 1, 2, 4, 4, 3, 4, 2, 2, 2, 1, 2, 4, 2, 1, 2, 4, 4, 3, 2, 2, 4, 3], "5089": [4, 5, 4, 5, 4, 4, 4, 5, 3, 2, 4, 3, 5, 5, 4, 4, 4, 5, 3, 5, 3, 3, 5, 3, 3, 4, 1], "5081": [3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 1, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 5, 4, 2, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4], "4154": [4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5], "3524": [4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 3, 3, 5, 5, 2, 4, 5, 3, 3, 4, 5, 4, 2, 4, 2, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 1, 5, 2, 5, 4, 5, 5, 3, 5, 3, 4, 3, 4, 3, 5, 5, 2, 3, 5, 4, 4, 2, 5, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4], "4536": [3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 2, 3, 5, 5, 3, 4], "5472": [3, 3, 3, 3, 2, 4, 5, 3, 4, 2, 2, 3, 2, 4, 3, 3, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 1, 4, 2, 1, 3, 3, 3, 4, 2, 4, 1, 2, 4, 4, 2, 2, 4, 3, 3, 4, 4, 1, 2, 3, 2, 1, 1, 2, 3, 1, 1, 2, 3, 5, 5, 1, 2, 4, 2, 3, 3, 3, 3, 3, 5, 4, 2, 2, 4, 2, 5, 4, 5, 1, 3, 1, 2, 4, 4, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 4, 2, 1, 4, 2, 4, 3, 2, 5, 2, 3, 5, 4, 2, 4, 3, 3, 3, 3, 3, 3, 1, 3, 4, 3, 4, 4, 4, 5, 3, 1, 2, 2, 5, 5, 3, 4, 3, 3, 2, 1, 3, 3, 4, 4, 4, 4, 2, 4, 2, 3, 2, 5, 3, 4, 3, 3, 3, 4, 1, 4, 3, 4, 4, 4, 4, 2, 4, 3, 2, 3, 2, 4, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 2, 2, 2, 4, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 1, 4, 4, 2, 3, 4, 3, 3, 2, 3, 5, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 5, 4, 2, 2, 4, 1, 2, 1, 3, 3, 3, 4, 1, 5, 2, 4, 2, 2, 3, 3, 1, 1, 3, 3, 3, 3, 2, 5, 3, 4, 4, 1, 3, 4, 2, 1, 2, 4, 3, 2, 4, 1, 2, 3, 2, 5, 4, 4, 1, 1, 2, 3, 2], "758": [4, 5, 4, 4, 3, 3, 3, 2, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5], "3059": [5, 4, 3, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 2, 1, 5, 4, 5, 1, 3, 5, 3, 4, 2, 2, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5], "3327": [4, 5, 3, 4, 3, 4, 5, 1, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 2, 5, 3, 3, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 3, 3, 2, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 5, 3, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 3, 3, 5, 4, 1, 2, 5, 5, 2, 1, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 2, 4, 4, 4, 4, 2, 5, 4, 4, 2, 3, 4, 2, 5, 2, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 1, 2, 4, 3, 4, 3, 4, 3, 2, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 2, 3, 3, 1, 3, 2, 3, 3, 3, 3, 3, 5, 3, 4, 1, 4, 3, 4, 5, 3, 3, 2, 4, 3, 2, 4, 4, 4, 3, 2, 5, 2, 4, 3, 4, 2, 5, 1, 4, 1, 2, 4, 5, 4, 3, 3, 2, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 2, 4, 4, 4, 2, 2, 3, 4, 3, 5, 4, 4, 5, 2, 2, 5, 5, 5, 2, 5, 1, 1, 5, 5, 5, 4, 4, 2, 1, 3, 4, 3, 4, 4, 3, 4, 3], "1347": [5, 5, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 1, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 3, 5, 5, 2, 3, 3, 5, 5, 5, 4, 4, 5, 5, 3, 4, 3, 3, 4, 2, 5, 5, 4, 3, 4, 4, 3, 3, 2, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 2, 2, 5, 5, 5, 5, 4, 5], "5808": [4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 3, 5, 3, 5, 5, 2, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4], "3508": [5, 3, 1, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 1, 5, 5, 5, 3, 5, 4, 5, 3, 3, 5, 4, 3, 2, 5], "3252": [3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 2], "5020": [5, 4, 4, 5, 2, 3, 5, 5, 5, 5, 4, 4, 2, 4, 2, 3, 4, 3, 2, 3, 5, 4, 5, 2, 3, 5, 5, 3, 3, 3, 5, 3, 5, 3, 2, 3, 3, 4, 2, 4, 3, 3, 3, 5, 4, 2, 4, 4, 4, 2, 2, 5, 5, 4, 2, 4, 4, 5, 3, 5, 2, 4, 5, 3, 5, 4, 3, 3, 5, 4, 5, 5, 2, 5, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 4, 3, 4, 5, 5, 3, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4], "1431": [2, 4, 4, 2, 4, 4, 3, 4, 3, 2, 3, 3, 5, 3, 3, 4, 4, 4, 2], "304": [4, 4, 3, 4, 3, 5, 5, 4, 5, 4, 5, 4, 3, 3, 3, 5, 3, 3, 1, 5, 1, 5, 3, 5, 2], "3571": [5, 4, 2, 5, 1, 5, 1, 5, 5, 5, 5, 5, 5, 3, 4, 5, 2, 3, 1, 5, 4, 5, 5, 3, 1, 5, 4, 5, 3], "2663": [3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 3, 4, 4, 2, 4, 4, 2, 4, 5, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 2, 4, 2, 5, 4, 2, 3, 3, 4, 4, 4, 4, 5, 2, 4, 3, 5, 3, 4, 4, 5, 4, 5, 3, 2, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 2, 4, 4, 4, 3], "800": [4, 3, 4, 1, 5, 5, 4, 4, 4, 3, 1, 4, 1, 2, 5, 5, 1, 4, 4, 1, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 3, 5, 4, 5, 5, 5, 1, 5, 5, 4, 1, 4, 4, 4, 5, 4, 1, 4, 2, 3, 1, 4, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3, 5, 3, 4, 5, 5, 4, 1, 4, 4, 1, 1, 4, 5, 4, 4, 3, 4, 1, 4, 4, 5, 3, 1, 4, 1, 5, 1, 5, 4, 1, 1, 1, 5, 1, 4, 1, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 1, 3, 5, 1, 4, 5, 5, 5, 3, 5, 4, 3, 4, 2, 5, 5, 3, 4, 5, 4, 5, 4, 4, 3, 2, 5, 3, 5, 5, 5, 5, 1, 2, 1, 4, 1, 3, 4, 1, 1, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 5, 4, 1, 2, 5, 3, 3, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 1, 5, 4, 5, 5, 4, 1, 4, 4, 5, 4, 5, 2, 5, 1, 5, 5, 5, 5, 5, 3, 2, 1, 4, 3, 2, 4, 4, 5, 1, 5, 5, 1, 2, 4, 1, 1, 5, 4, 5, 5, 5, 1, 4, 5, 4, 1, 4, 1, 4, 5, 5, 5, 3, 4, 4, 4], "2607": [3, 5, 3, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 3, 5, 5, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 2, 5, 5], "5097": [5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 2, 3, 3, 5, 3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 2, 5, 3, 4, 5, 3, 3], "4682": [1, 3, 4, 2, 3, 3, 5, 5, 2, 3, 4, 5, 3, 3, 4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 3, 4, 4, 2, 2, 4, 2, 2, 5, 4, 5, 3, 5, 1, 1, 1, 1, 4, 4, 3, 4, 2, 4, 4, 4, 5, 4, 5, 4, 2, 3, 5, 3, 5, 1, 4, 3, 3, 4, 5, 2, 5, 3, 5, 1, 4, 4, 4, 3, 4, 5, 5, 2, 4, 3, 5, 4, 4, 5, 2, 3, 1, 2, 5, 3, 5, 4, 4, 3, 3, 2, 4, 4, 5, 1, 5, 3, 5, 4, 4, 4, 2, 2, 3, 4, 4, 1, 3, 4, 1, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 1, 3, 4, 1, 5, 4, 2, 5, 3, 4, 3, 2, 4, 3, 5, 3, 2, 2, 4, 4, 5, 5, 2, 4, 3, 4, 4, 2, 3, 2, 5, 4, 5, 4, 2, 5, 4, 4, 3, 2, 4, 5, 4, 1, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 2, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 2, 3, 4, 3, 3, 1, 3, 3, 4, 3, 1, 1, 3, 4, 5, 4, 5, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 1, 4, 4, 2, 3, 4, 4, 3, 4, 1, 3, 5, 4, 1, 4, 4, 3, 3, 4, 5, 4, 4, 1, 4, 4, 5, 5, 4, 3, 4, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 1, 4, 3, 3, 3, 4, 5, 4, 3, 3, 1, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 1, 1, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 4, 2, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 1, 4, 2, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 2, 1, 3, 5, 2, 4, 2, 2, 5, 4, 3, 3, 4, 5, 2, 4, 5, 4, 3, 1, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 2, 5, 2, 5, 4, 4, 1, 5, 4, 4, 5, 3, 2, 2, 5, 4, 2, 3, 4, 5, 3, 3, 3, 2, 5, 4, 2, 3, 4, 4, 3, 4, 4, 3, 5, 1, 4, 5, 3, 1, 1, 5, 4, 1, 3, 2, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 1, 3, 5, 4, 3, 4, 3, 3, 3, 4, 2, 2, 1, 1, 2, 4, 5, 4, 5, 5, 4, 4, 3, 1, 3, 4, 2, 3, 5, 3, 4, 3, 2, 5, 1, 2, 1, 3, 1, 3, 4, 5, 4, 3, 5, 4, 2, 4, 1, 4, 4, 4, 1, 4, 2, 2, 3, 4, 2, 5, 4, 3, 4, 4, 2, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 5, 4, 1, 2, 4, 5, 4, 2, 5, 3, 5, 3, 5, 3, 4, 4, 4, 4, 3, 5, 3, 3, 4, 1, 4, 1, 1, 4, 5, 4, 2, 2, 3, 4, 5, 4, 1, 3, 4, 4, 4, 5, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 1, 2, 4, 2, 4, 1, 4, 1, 5, 3, 1, 4], "2079": [5, 4, 4, 3, 1, 5, 4, 5, 2, 3, 3, 3, 4, 5, 5, 4, 2, 4, 3, 3, 5, 3, 3, 4, 1, 5, 5, 4, 4, 5, 1, 3, 3, 2, 3, 3, 5, 4, 4, 2, 3, 1, 5, 2, 3, 3, 4, 5, 2, 1, 2, 4, 2, 4, 3, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4], "4577": [3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 2, 4, 3, 3, 3, 1, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 1, 3, 2, 4, 5, 3, 3, 4, 2, 2, 3, 3, 2, 4, 2, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 1, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3], "1473": [3, 1, 2, 4, 5, 3, 5, 4, 3, 4, 2, 3, 3, 3, 5, 2, 5, 4, 3, 3, 2, 2, 4, 3, 5, 3, 3, 2, 3, 2, 1, 3, 3, 3, 3, 3, 3, 5, 2, 3, 3, 4, 4, 4, 2, 4, 4, 1, 3, 3, 2, 3, 2, 1, 3, 4, 3, 2, 2, 4, 4, 2, 3, 3, 5, 3, 5, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 2, 4, 2, 4, 2, 3, 4, 4, 4, 2, 5, 2, 3, 4, 3, 3, 3, 3, 1, 3, 5, 5, 3, 2, 2, 4, 4, 4, 1, 4, 4, 3, 3, 3, 4, 3, 2, 1, 5, 3, 4, 3, 4, 2, 2, 4, 1, 3, 5, 3, 2, 4, 3, 1, 4, 5, 5, 1, 1, 4, 3, 3, 2, 2, 2, 2, 4, 3, 3, 3, 3, 1, 3, 3, 1, 3, 4, 5, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 1, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 2, 4, 1, 3, 4, 3, 3], "1168": [2, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 3, 1, 3, 4, 5, 2, 3, 3, 3, 3, 3, 1, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 3, 4, 4, 3, 2, 4, 5, 4, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4], "3216": [3, 4, 1, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 4, 5, 2, 4, 2, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 5, 1, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 5, 2, 4, 1, 4, 4, 1, 4, 4, 1, 3, 4, 1, 4, 3, 4, 3, 2, 4, 2, 3, 3, 3, 4, 3, 2, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 2, 4, 2, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 1, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 2, 4, 4, 2, 4, 4, 4, 5, 4, 1, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 2, 1, 3, 2, 4, 2, 3, 3, 3, 1, 3, 4, 4, 4, 4, 2, 3, 1, 3, 4, 4, 1, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 1, 4, 4, 3, 4, 3, 4, 1, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 5, 4, 2, 3, 3, 5, 4, 4, 4, 3, 3, 4, 1, 3, 4, 4, 4, 4, 4, 2, 2, 2, 4, 3, 3, 4, 3, 2, 5, 5, 2, 5, 3, 4, 3, 4, 4, 2, 4, 4, 2, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3], "5164": [4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 2, 5, 3, 2, 5, 5, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4], "358": [4, 4, 5, 3, 5, 4, 3, 3, 2, 2, 4, 3, 4, 4, 5, 4, 4, 3, 3, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 2, 3, 3, 3, 3, 5, 4, 4, 4, 5, 5, 2, 3, 5, 2, 5, 3, 3, 3, 4, 5, 4, 3, 5, 4, 3, 5, 5], "4320": [5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3], "2882": [2, 5, 4, 3, 2, 5, 4, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 1, 2, 1, 2, 4, 2, 2, 1, 4, 4, 2, 5, 4, 4, 5, 4, 3, 5, 5, 3, 1, 4, 3, 4, 3, 4, 4, 2, 5, 4, 3, 2, 4], "2309": [4, 5, 4, 2, 2, 5, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 2, 2, 4, 4, 2, 3, 3, 3, 5, 5, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 3, 1, 4, 3, 4, 3, 4, 2, 4, 3, 3, 2, 2, 4, 4, 2, 4, 3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 4, 4, 3, 5, 3, 5, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 5, 4, 2, 5, 5, 3, 4, 5, 5, 3, 3, 2, 4, 3, 2, 3, 3, 5, 5, 3, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 3, 3, 2, 3, 5, 4, 4, 3, 3, 3, 3], "4709": [5, 3, 4, 2, 4, 5, 2, 2, 3, 4, 4, 5, 2, 3, 4, 2, 3, 4, 1, 4, 3, 2, 3, 4, 4, 5, 5, 4, 3, 4, 4, 2, 4, 4, 3, 3, 4, 5, 3, 3, 4, 5, 5, 2, 5, 5, 4, 4, 4, 4], "7": [4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 3], "3267": [5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 4, 3, 2, 3, 2, 5, 4, 5, 3, 5, 5, 4, 3, 4, 5, 1, 4, 5, 5, 4, 4, 5, 2, 3, 4, 5, 5, 3, 4, 3, 3, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4], "2247": [3, 5, 5, 5, 3, 2, 4, 4, 3, 3, 5, 3, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 2, 4, 4, 4, 4, 1, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 2, 1, 4, 3, 3, 4, 5, 5, 4, 3, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 3, 5, 5, 3, 5, 4, 5, 5, 5, 3, 4, 5, 4, 1, 3, 3, 3, 5, 1, 5, 3, 5, 3, 5, 4, 5, 5, 4, 4, 4, 2, 2, 4, 4, 3, 4], "4850": [5, 4, 4, 5, 2, 5, 1, 2, 5, 5, 5, 3, 5, 4, 2, 5, 5, 1, 4, 4, 3, 5, 5, 5], "1419": [2, 1, 4, 3, 2, 2, 2, 3, 3, 3, 4, 2, 5, 3, 3, 4, 2, 2, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2], "4910": [4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 5, 3, 3, 3, 3, 3, 4, 4, 5, 3], "3153": [3, 3, 4, 2, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 2, 2, 5, 5, 4, 4, 4, 5, 3, 3, 5, 5, 2], "2260": [3, 4, 4, 3, 4, 3, 4, 2, 5, 4, 4, 3, 5], "3325": [4, 4, 4], "236": [3, 3, 5, 4, 4, 5, 1, 5, 5, 5, 1, 4, 4, 3, 5, 4, 1, 4, 2, 5, 3, 4, 4, 3, 3, 4, 2, 3, 3, 4, 3, 3, 5, 4, 2, 2, 4, 3, 4, 5, 4, 5, 4, 5, 4, 1, 5, 4, 5, 4, 4, 3, 3], "2233": [2, 4, 4, 5, 3, 3, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 1, 3, 4, 4, 3, 4, 5, 3, 4, 3, 1, 5, 4, 4, 3, 3, 3, 4, 4, 3, 5, 5, 4, 4, 3, 2, 3, 4, 5, 4, 3, 4, 3, 5, 3, 4, 4, 1, 3, 2, 3, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 4, 1, 4, 3, 4, 4, 4, 3, 5, 3, 5, 3, 3, 2, 3, 3, 2, 1, 5, 5, 2, 4, 3, 5, 3, 3, 3, 5, 4, 4, 3, 1, 3, 4, 2, 1, 4, 2, 3, 4, 3, 3, 3, 1, 4, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 4, 5, 2, 4, 3, 3, 4, 3, 1, 5, 4, 4, 4, 3, 1, 3, 3, 4, 3, 2, 2, 2, 4, 4, 4, 4, 3, 4, 1, 3, 4, 5, 4, 3, 4, 3, 5, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3], "4262": [3, 3, 3, 3, 3, 4, 5, 3, 4, 5, 3, 4, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3], "1729": [4, 3, 3, 2, 3, 4, 3, 2, 4, 4, 4, 4, 3, 4], "1370": [3, 5, 3, 5, 3, 4, 3, 4, 1, 2, 3, 4, 3, 4, 2, 3, 4, 4, 2, 1, 3, 5, 2, 1, 4, 4, 3, 4, 3, 4, 4, 1, 4, 1, 3, 4, 4, 2, 2, 5, 2, 5, 3, 3, 2, 4, 3, 3, 2, 4, 4, 5, 4, 3, 2, 3, 5, 2, 1, 2, 5, 2, 4, 1, 4, 4, 2, 4, 1, 4, 5, 3, 2, 2, 3, 3, 3, 4, 4, 4, 5, 2, 1, 1, 2, 1, 1, 5, 2, 5, 1, 5, 3, 2, 5, 2, 5, 4, 4, 5, 5, 3, 5, 4, 5], "5554": [5, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 2, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 2, 4, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 1, 4, 5, 2, 3, 4, 3, 2, 3, 1, 5, 4, 4, 4, 4, 5, 2, 3, 3, 3, 5, 4, 2, 3, 3, 2, 3, 4, 2, 4, 4, 3, 3, 5, 4, 5, 3], "1290": [4, 4, 3, 5, 4, 3, 4, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 2, 5, 5, 4, 5], "3452": [5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 1, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5], "4052": [4, 5, 5, 5, 4, 5, 5, 4, 4, 5], "3705": [4, 5, 4, 4, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 2, 4, 4, 4, 2, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 2, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 5, 4, 4, 4, 3, 2, 4, 3, 4, 3, 2, 4, 4, 4, 3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 2, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 2, 4, 4, 4, 3, 3, 2, 4, 3, 2, 4, 4, 5, 4, 3, 3, 3, 5, 3, 3, 4, 2, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 2, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 2, 3, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 2, 2, 4, 5, 5, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 2, 2, 4, 2, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 2, 3, 3, 5, 2, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 4, 5, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 2, 4, 3, 4, 5, 3, 4, 3, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 5, 4, 4, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 2, 3, 4, 4, 3, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 4, 3, 4], "3295": [3, 4, 3, 2, 4, 5, 3, 5, 3, 5, 5, 3, 4, 4], "2168": [2, 5, 3, 3, 3, 2, 5, 3, 5, 5, 3, 5, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 3, 5, 3, 2, 2, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 2, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 3, 3, 4, 1, 5, 4, 3, 3, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 2, 5, 4, 1, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 2, 5, 3, 5, 5, 5, 4, 5, 3, 1, 5, 4, 5, 5, 5, 3, 4, 2, 2, 2, 5, 4, 5, 3, 5, 1, 4, 5, 4, 5, 5, 1, 3, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5, 3, 4, 5, 3, 5, 3, 4, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 2, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 2, 5, 4, 4, 2, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 2, 4, 5, 5, 5, 3, 5], "4728": [4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 2, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 3, 4, 1, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 3, 2, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 2, 5, 5, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 2, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 5, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 3, 3, 4, 3, 5, 5, 4, 4, 4, 4, 3, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 2, 5, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 3, 5, 3, 2, 3, 4, 5, 2, 4, 5, 4, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 5, 3, 5, 3, 4, 2, 3, 3, 4, 2, 4, 3, 3, 4, 5, 5, 3, 4, 4, 3, 3, 4, 3, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 5, 3, 5, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 2, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 2, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4], "4820": [5, 5, 3, 4, 3, 3, 4, 5, 3, 2, 5, 3, 1, 5, 5, 3, 4, 3, 5, 5, 4], "5388": [4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5], "3274": [3, 2, 3, 5, 3, 4, 3, 3, 5, 4, 3, 5, 4, 3, 3, 5, 5, 2, 2, 2, 3, 2, 2, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 2, 2, 4, 4, 3, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 5, 5, 2, 3, 1, 2, 3, 5, 3, 4, 2, 5, 2, 2, 3, 3, 3, 3, 3, 2, 4, 2, 4, 4, 2, 3, 5, 5, 5, 5, 4, 4, 3, 4, 3, 2, 3, 2, 2, 4, 2, 5, 3, 3, 2, 3, 3, 3, 4, 2, 3, 3, 3, 5, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 3, 3, 3, 4, 2, 2, 5, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 2, 2, 3, 3, 5, 3, 3, 2, 3, 3, 4, 3, 5, 3, 2, 3, 3, 4, 5, 3, 4, 4, 1, 4, 2], "1334": [5, 5, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 2, 2, 4, 5, 4, 3, 4, 5, 5, 5, 5, 3, 5, 4], "3302": [3, 3, 3, 3, 5, 3, 3, 5, 3, 4, 3, 5, 3, 3, 2, 4, 3, 4, 4, 2, 3, 4, 5, 4, 2, 4, 3, 3, 5, 4, 5, 4, 3, 5, 2, 3, 5, 3, 4, 4, 5, 4, 4, 4], "801": [4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 2, 4, 4, 3, 5, 4, 3, 5, 4, 3, 2, 3, 3, 3, 1, 5, 3, 3, 3, 4, 3, 3, 2, 4, 5, 3, 5, 3, 4, 3, 3, 4, 4, 2, 4, 5, 3, 4, 5, 3, 5, 4, 2, 3, 4, 1, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 5, 4, 2, 3, 4, 4, 4, 4, 2, 5, 4, 3, 3, 5, 2, 4, 3, 3, 4, 4, 4, 5, 4, 5, 3, 4, 2, 4, 5, 3, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 3, 1, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 2, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 2, 3, 3, 3, 3, 4, 4, 3, 3, 5, 5, 4, 5, 1, 4, 3, 4, 3, 4, 4, 4], "781": [4, 3, 5, 3, 2, 2, 5, 2, 4, 3, 4, 1, 1, 4, 4, 4, 5, 3, 2, 5, 2, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 1, 2, 3, 1, 4, 2, 4, 4, 2, 5, 3, 5, 4, 2, 4, 4, 3, 1, 1, 1, 5, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 5, 1, 3, 3, 3, 1, 4, 4, 3, 2, 2, 2, 5, 1, 1, 1, 2, 1, 5, 2, 5, 3, 1, 1, 5, 5, 5, 1, 2, 1, 1, 5, 4, 3, 4, 5, 3, 2, 2, 5, 3, 3, 5, 2, 3, 1, 2, 2, 4, 5, 5, 5, 5, 4, 3, 4, 2, 3, 1, 1, 5, 5, 3, 2, 5, 2, 3, 4, 3, 3, 2, 2, 5, 3, 1, 3, 4, 3, 4, 4, 3, 1, 5, 4, 4, 2, 3, 3, 4, 3, 1, 1, 1, 4, 5, 3, 5, 1, 5, 3, 4, 3, 5, 1, 4, 2, 4, 4, 5, 2, 5, 2, 3, 3, 1, 5, 5, 2], "4250": [4, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 5, 4, 3, 5, 3, 3, 5, 2, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 2, 1, 5, 5, 3, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 3, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 3, 5, 5, 3, 4, 4, 4, 2, 1, 1, 2, 4, 5, 3, 5, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 5, 4, 3, 5, 3, 3, 3, 4, 5, 5, 5, 3, 4, 2, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 3], "783": [4, 3, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 1, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 5, 3, 1, 5, 3, 3, 5, 3, 5, 4, 2, 3, 3, 3, 3, 4, 4, 1, 5, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 5, 3, 3, 4, 5, 3, 5, 2, 5, 4], "4775": [3, 3, 3, 4, 3, 3], "2511": [5, 5, 5, 5, 4, 4, 5, 3, 2, 4, 5, 5, 3, 5, 5, 5, 2, 5, 4, 5, 4, 4, 5, 4, 4], "889": [3, 4, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 3, 5, 4, 2, 3, 3, 3, 3, 2, 3, 3, 3, 5, 4, 3, 2, 4, 3, 2, 5, 3, 2, 4, 3, 5, 5, 4, 3, 2, 5, 4, 3, 2, 3, 5, 3, 2, 3, 4, 4, 3, 5, 3, 2, 1, 2, 3, 5, 3, 4, 4, 4, 4, 4, 2, 3, 2, 4, 2, 3, 3, 3, 4, 3, 4, 3, 3, 4, 1, 4, 4, 3, 3, 2, 4, 3, 3, 2, 3, 3, 2, 1, 3, 3, 4, 3, 3, 3, 3, 2, 3, 5, 3, 5, 2, 3, 3, 4, 5, 3, 4, 2, 3, 5, 3, 3, 4, 2, 3, 5, 4, 2, 4, 3, 4, 4, 5, 4, 2, 2, 4, 3, 3, 3, 3, 3, 1, 5, 3, 5, 3, 5, 2, 3, 2, 5, 3, 2, 4, 4, 4, 4, 4, 2, 5, 2, 2, 2, 1, 5, 3, 3, 2, 5, 4, 3, 3, 4, 2, 2, 2, 4, 4, 4, 2, 2, 3, 4, 3, 3, 2, 3, 3, 3, 1, 4, 3, 1, 3, 3, 2, 1, 1, 3, 2, 4, 1, 5, 4, 2, 3, 3, 2, 2, 3, 3, 4, 2, 5, 5, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 4, 4, 2, 1, 4, 2, 2, 4, 2, 1, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 2, 5, 3, 3, 4, 5, 3, 3, 4, 2, 2, 4, 2, 3, 2, 3, 1, 5, 4, 4, 3, 1, 4, 2, 4, 3, 3, 4, 1, 2, 4, 5, 2, 3, 4, 3, 4, 5, 3, 2, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 4, 2, 2, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 5, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 4, 2, 4, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 4, 1, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 3, 3, 4, 3, 4, 2, 3, 2, 5, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 3, 2, 3, 2, 3, 1, 2, 3, 3, 4, 4, 4, 3, 2, 2, 1, 2, 2, 2, 3, 3, 2, 3, 3, 3, 5, 3, 3, 3, 1, 3, 4, 4, 4, 3, 3, 1, 3, 3, 2, 1, 3, 2, 2, 1, 2, 3, 4, 5, 3, 2, 3, 2, 1, 2, 5, 3, 4, 3, 3, 2, 4, 2, 3, 2, 2, 3, 2, 1, 3, 3, 4, 1, 1, 4, 1, 3, 3, 2, 3, 3, 4, 3, 2, 3, 1, 4, 1, 2, 2, 2, 3, 5, 2, 4, 3, 2, 2, 3, 1, 1, 4, 3, 3, 3, 3, 4, 1, 3, 2, 3, 4, 2, 3, 2, 3, 1, 1, 5, 2, 2, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 2, 5, 3, 3, 1, 1, 4, 2, 2, 2, 2, 1, 4, 4, 3, 2, 2, 4, 3, 2, 2, 4, 2, 3, 3, 1, 2, 3, 3, 3, 4, 4, 4, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 5, 3, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 3, 1, 4, 3, 3, 2, 2, 4, 4, 2, 2, 2, 3, 3, 2, 4, 4, 5, 2, 3, 1, 2, 1, 2, 3, 2, 1, 4, 3, 2, 5, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 4, 2, 3, 2, 2, 2, 3, 3, 3, 1, 4, 4, 4, 3, 1, 4, 3, 4, 2, 4, 3, 2, 2, 2, 1, 4, 5, 2, 4, 3, 3, 2, 5, 2, 1, 2, 4, 2, 2, 3, 2, 4, 2, 2, 2, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 3, 1, 3, 3, 3, 5, 4, 3, 5, 3, 5, 1, 3, 1, 3, 3, 4, 3, 2, 3, 3, 2, 4, 2, 1, 3, 3, 1, 2, 4, 2, 3, 5, 4, 3, 2, 4, 1, 2, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 5, 5, 2, 2, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 2, 2, 4, 3, 2, 5, 3, 2, 2, 3, 2, 3, 4, 4, 4, 2, 3, 3, 3, 1, 1, 3, 4, 3, 3, 2, 2, 3, 4, 2, 3, 3, 2, 2, 3, 5, 2, 3, 3, 3, 3, 2, 3, 2, 4, 4, 3, 4, 2, 1, 2, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 2, 3, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 4, 5, 5, 2, 2, 3, 3, 5, 1, 1, 3, 2, 2, 3, 5, 3, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 2, 1, 3, 2, 2, 4, 3, 5, 4, 4, 3, 3, 2, 4, 2, 4, 3, 4, 3, 5, 3, 3, 4, 1, 3, 4, 3, 2, 3, 3, 5, 3, 3, 2, 2, 3, 3, 2, 5, 2, 3, 2, 5, 4, 3, 2, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 2, 3, 5, 2, 2, 2, 2, 4, 2, 3, 3, 3, 5, 2, 4, 3, 2, 4, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 4, 4, 3, 3, 2, 1, 3, 2, 4, 2, 3, 3, 2, 3, 1, 3, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 4, 2, 2, 2, 3, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 3, 2, 3, 3, 4, 2, 2, 4, 4, 4, 2, 2, 2, 1, 3, 2, 2, 2, 5, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 5, 5, 4, 2, 2, 3, 2, 3, 4, 2, 3, 3, 1, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 4, 4, 5, 4, 3, 3, 2, 4, 3, 2, 2, 4, 3, 2, 3, 3, 5, 3, 5, 3, 3, 4, 4, 2, 5, 3, 4, 4, 3, 2, 3, 3, 2, 1, 3, 3, 4, 4, 4, 3, 1, 3, 4, 4, 4, 5, 3, 2, 2, 5, 2, 2, 5, 1, 4, 3, 4, 1, 2, 3, 5, 4, 2, 3, 5, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 2, 3, 4, 5, 4, 3, 1, 2, 3, 3, 2, 3, 4, 2, 3, 1, 3, 2, 2, 3, 3, 4, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 5, 2, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 4, 5, 2, 2, 3, 2, 1, 3, 3, 3, 2, 3, 5, 3, 3, 3, 2, 2, 4, 3, 3, 3, 5, 1, 2, 4, 5], "1155": [4, 4, 3, 3, 5, 4, 4, 4, 1, 4, 2, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 1, 2, 3, 4, 3, 4, 2, 4, 4, 1, 5, 4, 3, 1, 4, 3, 2, 4, 2, 2, 4, 2, 2, 2, 4, 3, 4, 3, 3, 2, 3, 4, 3, 5, 2, 3, 2, 2, 2, 4, 3, 4, 4, 4, 1, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 1, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 4, 1, 2, 4, 3, 4, 3, 3, 2, 3, 1, 3, 3, 5, 4, 2, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 3, 4, 2, 1, 3, 2, 2, 4, 5, 4, 3, 2, 4, 4, 5, 2, 4, 4, 3, 4, 3, 4, 3, 3, 2, 5, 5, 2, 3, 2, 5, 5, 3, 3, 5, 2, 3, 3, 2, 4, 5, 4, 4], "946": [5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 3, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 3, 2, 5, 3, 5, 5, 5, 3], "2816": [5, 5, 5, 2, 3, 5, 4, 3, 2, 4, 1, 4, 4, 4, 5, 5, 4, 4, 4], "1527": [1, 4, 2, 3, 1, 3, 3, 3, 4, 3, 3, 3, 3, 3, 1, 4, 4, 2, 5, 4, 5, 3, 2, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 1, 4, 4, 4, 4, 1, 5, 3, 3, 4, 2, 2, 4, 4, 2, 3, 4, 5, 3, 3, 3, 4, 2, 4, 5, 4, 5, 4, 4, 3, 2, 3, 4, 3], "4779": [4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 2, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5], "2382": [5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 3, 2, 4, 4, 5, 1, 5], "305": [4, 1, 3, 1, 3, 3, 1, 2, 5, 4, 3, 2, 4, 3, 2, 3, 5, 5, 4, 2, 4, 2, 1, 5, 4, 2, 5, 3, 2, 2, 5, 4, 4, 2, 1, 1, 1, 3, 3, 5, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 1, 4, 4, 2, 5, 1, 4, 3, 4, 1, 3, 5, 4, 3, 2, 3, 5, 1, 5, 3, 2, 5, 1, 2, 1, 2, 1, 5, 4, 4, 3, 3, 2, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 1, 1, 3, 1, 1, 1, 2, 1, 1, 3, 1, 4, 1, 1, 1, 1, 3, 1, 4, 2, 1, 3, 5, 3, 1, 5, 3, 4, 5, 3, 1, 5, 5, 3, 3, 5, 3, 2, 1, 4, 5, 2], "1664": [5, 2, 2, 5, 4, 5, 4, 3, 1, 1, 5], "381": [5, 4, 5, 3, 5, 3, 5, 5, 4, 3, 3, 3, 5, 5, 4, 5, 5, 2, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5], "1361": [2, 5, 2, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 2, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 5, 5, 3, 4, 5, 2, 1, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 5, 4, 2, 3, 5, 3, 4, 3, 5, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 4, 4, 5, 3, 5], "3119": [3, 2, 4, 5, 5, 3, 3, 3, 3, 5, 4, 2, 5, 4, 4, 3, 4, 3, 1, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 1, 3, 4, 4, 3, 3, 1, 2, 5, 4, 2, 5, 3, 3, 2, 4, 4, 5, 5, 3, 1, 2, 1, 2, 4, 2, 1, 2, 1, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 5, 3, 4, 1], "5055": [2, 3, 5, 4, 4, 5, 3, 2, 5, 4, 4, 4, 2, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 2, 4, 3, 2, 4, 3, 3, 4, 4, 3, 2], "3937": [4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5], "4982": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 3, 2, 5, 5, 5, 5, 5, 5], "5444": [2, 4, 3, 4, 4, 4, 2], "554": [5, 3, 3, 4, 3, 5, 2, 3, 4, 3, 3, 4, 4, 1], "3735": [5, 5, 4, 5, 3, 5, 5, 4, 3, 2, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 2, 5, 4, 3, 5, 4, 5, 5, 3, 4, 2, 3, 3, 5, 4, 4, 2, 2, 5, 5, 3, 4, 4, 3, 3, 2, 4, 4, 5, 4, 4, 5, 4, 4, 3, 2, 3, 4, 3, 2, 1, 3, 2, 5, 5, 2, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 2, 5, 1, 4, 3, 5, 2, 4, 4, 3, 4, 3, 3, 3, 2, 2, 4, 4, 2, 4, 5, 3, 5, 3, 5, 5, 4, 3, 2, 3, 4, 4, 5, 2, 2, 2, 3, 3, 4, 5, 4, 4, 3, 5, 3, 5, 5, 4, 3, 3, 4, 4, 2, 5, 4, 2, 5, 1, 4, 3, 2, 5, 2, 5, 2, 2, 4, 5, 2, 3, 3, 2, 3, 2, 2, 2, 4, 4, 5, 2, 4, 5, 4, 2, 4, 2, 5, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 5, 2, 4, 5, 2, 3, 5, 5, 3, 3, 3, 4, 5, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 2, 2, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 2, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 3, 2, 4, 4, 4, 5, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 2, 3, 5, 4, 4, 2, 3, 5, 5, 5], "1950": [4, 5, 3, 1, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 2, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 5, 1, 4, 3, 3, 3, 5, 2, 3, 3, 3, 2, 4, 4, 5, 4, 5, 2, 1, 5, 3, 3, 4, 3, 4, 4, 3, 1, 4, 4, 3, 4, 3, 2, 3, 5, 2, 2, 5, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 5, 4, 1, 4, 3, 3, 3, 5, 3, 1, 2, 2, 5, 4, 5, 5, 3, 4, 5, 2, 5, 1, 5, 5, 4, 3, 4, 4, 3], "2485": [4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 5, 3, 4, 3, 4, 3, 2, 3, 1, 3, 3, 3, 4, 5, 5, 3, 4, 2, 3, 3, 2, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 5, 3, 4, 3, 4, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 3, 5, 3, 5, 4, 3, 5, 3, 3, 3, 5, 3, 3, 5, 2, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 2, 3, 4, 5, 2, 3, 3, 1, 3, 3, 4, 5, 2, 4, 5, 5, 3, 5, 3, 4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 3, 3, 4, 5, 5, 3, 4, 4, 2, 4, 3, 5, 4, 3, 5], "5220": [3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 5, 2, 4, 3, 4, 4, 3, 3, 2, 4, 4, 5, 2, 4, 3, 4, 3, 2, 2, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 3, 2, 2, 2, 4, 3, 3, 2, 3, 4, 2, 4, 3, 2, 4, 3, 4, 2, 3, 3, 3, 2, 2, 3, 5, 4, 2, 3, 3, 2, 3, 2, 3, 3, 3, 5, 2, 2, 4, 3, 3, 4, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 3, 2, 4, 4, 3, 4, 4, 3, 4, 2, 3, 5, 2, 4, 5, 4, 2, 3, 3, 4, 3, 2, 4, 3, 5, 3, 5, 5, 2, 4, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 5, 3, 3, 5, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 5, 2, 3, 3, 4, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 5, 5, 3, 5, 3, 3, 2, 1, 4, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 5, 3, 3, 5, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 5, 3, 2, 3, 4, 4, 5, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 5, 2, 1, 5, 3, 2, 4, 5, 4, 3, 2, 4, 4, 3, 3, 2, 2, 3, 4, 5, 5, 2, 2, 3, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 3, 5, 3, 3, 2, 5, 3, 3, 4, 3, 3, 4, 3, 5, 5, 3, 4, 4, 5, 3, 3, 5, 2, 5, 3, 5, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 5, 4, 3, 5, 4, 2, 3, 3, 3, 4, 4, 4, 3, 2, 5, 4, 3, 3, 4, 5, 3, 2, 5, 5, 5, 3, 3, 2, 3, 4, 4, 3, 3, 4, 3, 2, 3, 4, 5, 2, 4, 4, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 5, 4, 3, 4, 5, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 5, 3, 4, 4, 5, 4, 2, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 5, 2, 2, 5, 3, 4, 4, 4, 1, 3, 4, 3, 3, 2, 3, 4, 4, 4, 5, 4, 2, 4, 2, 3, 3, 4, 3, 5, 3, 4, 2, 1, 3, 5, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 5, 5, 5, 3, 4, 2, 3, 4, 4, 2, 3, 4, 3, 4, 3, 2, 2, 4, 2, 2, 4, 3, 3, 4, 2, 5, 4, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 2, 3, 2, 3, 3, 2, 2, 2, 3, 4, 2, 3, 3, 4, 2, 2, 2, 2, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 5, 3, 2, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 5, 5, 5, 3, 4, 4, 3, 3, 2, 3, 4, 3, 2, 5, 5, 3, 2, 4, 2, 3, 5, 5, 4, 5, 3], "2991": [3, 5, 5, 3, 4, 4, 2, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 2, 5, 5, 2, 5, 5, 5, 2, 3, 3, 4, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 2, 4, 2, 3, 4, 2, 4, 4, 5], "1620": [3, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5], "3649": [5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5], "5833": [3, 5, 5, 4, 5, 5, 1, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 2, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 3], "1298": [5, 4, 2, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 2, 3, 4, 5, 4, 4, 4, 1, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 2, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 1, 5, 5, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 5, 2, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 1, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4], "4340": [4, 5, 4, 2, 5, 4, 4, 5, 5, 5, 3, 4, 5, 3, 4, 4], "4529": [5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 2, 2, 2, 5, 3, 5, 5, 5, 3, 4, 5, 4, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 2, 4, 4, 3, 3, 4, 3, 4], "485": [4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4], "2312": [5, 3, 5, 5, 5, 5, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 2, 3, 4, 3, 3, 5, 2], "5405": [2, 5, 5, 5, 4, 2, 4, 5, 2, 4, 4, 3, 4, 5, 5, 4, 5, 4, 3, 5, 1, 4, 3, 5, 3, 5, 4, 3, 5, 5, 5, 3, 2, 4, 4, 2, 2, 3, 3, 4, 5, 4, 5, 4, 5, 3, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 5, 3, 5, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 2, 5, 4, 2, 3, 3, 3, 3, 1, 4, 5], "2848": [2, 4, 4, 2, 5, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 3, 4, 3, 2, 5, 3, 4, 3, 2, 3, 4, 2, 4, 1, 3, 2, 2, 2, 5, 2, 5, 4, 4, 3, 4, 2, 4, 2, 4, 4, 4, 3, 3, 1, 3, 4, 3, 3, 5, 3, 4, 5, 4, 5, 3, 3, 3, 1, 4, 5, 2, 4, 1, 4, 4, 4, 1, 4, 2, 4, 2, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 1, 3, 1, 5, 3, 3, 2, 2, 1, 3, 4, 5, 3, 1, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 3, 1, 4, 2, 4, 4, 3, 5, 1, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 2, 3, 1, 4, 3, 2, 2, 3, 2, 3, 4, 2, 2, 2, 4, 5, 4, 2, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4, 2, 2], "3376": [3, 5, 4, 4, 4, 4, 4, 3, 5, 4], "5823": [4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 5, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 3, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 2, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 2, 3, 5, 5, 5, 5], "5051": [4, 3, 3, 3, 5, 5, 5], "3553": [5, 5, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 1, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5], "1559": [4, 5, 4, 4, 5, 5, 5, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 3, 2, 4, 4, 4, 2, 4, 2, 2, 2, 4, 2, 5, 4, 3, 2, 3, 5, 4, 4, 3, 5, 3, 4, 4], "4837": [5, 2, 4, 4, 1, 2, 4, 2, 4, 4, 4, 2, 4, 2, 3, 4, 1, 4, 4, 3, 1, 4, 4, 2, 1, 3, 4, 2, 3, 2, 4, 4, 4, 2, 1, 4, 3, 4, 1, 1, 5, 4, 3, 4, 2, 2, 2, 2, 4, 3, 1, 5, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 2, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 4, 3, 1, 4, 3, 3, 5, 3, 2, 5, 1, 3, 3, 4, 5, 4, 2, 1, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 2, 3, 5, 3, 3, 4, 4, 2, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 3, 1, 5, 4, 2, 2, 2, 3, 3, 3, 4, 3, 5, 3, 5, 3, 2, 5, 5, 5, 5, 5, 2, 3, 4, 1, 3, 5, 1, 4, 5, 3, 1, 3, 5, 2, 5, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 2, 4, 5, 3, 3, 3, 4, 2, 4, 3, 3, 1, 4, 4, 3, 3, 2, 5, 3, 5, 4, 3, 1, 2, 4, 3, 3, 2, 3, 4, 3, 3, 3, 5, 1, 5, 4, 5, 4, 4, 4, 2, 3, 3, 4, 4, 3, 5, 5, 3, 2, 3, 4, 4, 2, 4, 4, 3, 3, 5, 3, 5, 4, 5, 3, 5, 4, 4, 1, 4, 3, 2, 4, 3, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 2, 3, 5, 4, 2, 3, 3, 2, 3], "1327": [4, 5, 3, 5, 5, 4, 5, 5, 3, 1, 4, 2, 1, 1, 1, 1, 4, 1, 3, 5, 3, 1, 4, 4, 1, 3, 4, 4, 4, 3, 4, 5, 5, 1, 5, 3, 2, 4, 5, 4, 5, 5, 2, 4, 2, 4, 3, 5, 1, 5, 5, 4, 5, 5, 2, 3, 4, 5, 2, 3, 5, 5, 5], "988": [4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 1, 1, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 1, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4], "463": [2, 4, 1, 2, 5, 3, 5, 5, 4, 4, 3, 3, 3, 1, 2, 4, 4, 3, 4, 3, 5, 3, 3, 1, 4, 3, 2, 1, 4, 5, 2, 2, 5, 2, 1, 4, 1, 2, 3, 3, 4, 1, 3, 4, 2, 2, 5, 3, 3, 4, 2, 2, 5, 1, 4, 2, 3, 3, 4, 3, 2, 3, 4, 4, 5, 3, 4, 2, 2, 1, 1, 1, 2, 5, 3, 1, 3, 3, 3, 1, 5, 3, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 1, 4, 2, 2, 2, 4, 3, 2, 5, 4, 2, 4, 1, 4, 4, 2, 1], "3065": [4, 2, 4, 4, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 2, 2, 5, 2, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 2, 2, 5, 3, 5, 3, 4, 2, 4, 4, 5, 4, 4, 4, 2, 5, 2, 4, 3, 5, 4, 4, 2, 4, 5, 4, 4, 2, 4, 3, 5, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5, 2, 3, 4, 4, 3, 5, 3, 3, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 3, 4, 3, 4, 5, 2, 2, 3, 3, 5, 2, 2, 4, 3, 5, 5, 4, 3, 5, 3, 2, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 3, 5, 3, 3, 4, 3, 5, 2, 5, 3, 5, 1, 4, 3, 5, 5, 4, 4, 3, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 2, 1], "395": [3, 5, 2, 3, 5, 5, 5, 2, 5, 1, 1, 4], "5159": [3, 5, 5, 2, 1, 2], "3789": [3, 5, 5, 5, 5, 5, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 1, 5, 5, 4, 5, 4, 5, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 4, 2, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5], "1814": [4, 5, 5, 3, 4, 2, 3, 3, 4, 3, 4, 5, 3, 5, 3, 5, 3, 1, 3, 4, 4, 5, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3], "2200": [5, 4, 5, 4, 1, 4, 4, 5, 1, 2, 4, 2, 3, 4, 2, 5, 2, 3, 3, 1, 3, 5, 4, 4, 2, 5, 3, 5, 2, 3, 3, 1, 5, 3, 2, 4, 2, 2, 2, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3], "1648": [5, 2, 2, 5, 1, 3, 4, 4, 3, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 3, 2, 5, 4, 3, 2, 2, 4, 3, 3, 3, 3, 4, 4, 4, 3, 1, 4, 3, 3, 4, 3, 3, 4, 4, 5, 2, 4, 3, 5, 3, 2, 4, 5, 3, 5, 3, 4, 4, 1, 4, 3, 3, 3, 2, 4, 2, 3, 4, 2, 1, 4, 4, 4, 3, 3, 3, 5, 2, 5, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 2, 3, 4, 4, 3, 4, 4, 4, 2, 3, 2, 4, 3, 2, 3, 5, 4, 4], "3693": [4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 2, 5, 4, 3, 3, 4, 5, 3, 2, 4, 3, 3, 5, 2, 5, 3, 4, 5, 1, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 1, 3, 4, 3, 2, 3, 3, 3, 5, 2, 3, 4, 4, 3, 4, 3, 4, 2, 4, 4, 3, 5, 4, 3, 2, 2, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 1, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 2, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 2, 5, 5, 4, 3, 5, 3, 3, 4, 4, 4, 2, 1, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 5, 3, 4, 3, 3, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 1, 5, 5, 5, 2, 5, 4, 3, 3, 3, 4, 1, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 4, 1, 4, 3, 2, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4, 2, 4, 4, 3, 2, 3, 3, 4, 1, 3, 4, 4, 3, 5, 2, 3, 3, 2, 3, 2, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 4, 2, 3, 5, 2, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 5, 2, 4, 4, 4, 2, 3, 2, 1, 3, 3, 3, 2, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 2, 3, 2, 5, 3, 3, 4, 4, 3, 1, 1, 3, 3, 4, 4, 4, 4, 2, 2, 3, 2, 2, 3, 3, 5, 3, 3, 4, 3, 5, 2, 2, 3, 1, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 1, 3, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 2, 4, 3, 2, 5, 4, 2, 3, 4, 3, 3, 3, 5, 4, 3, 4, 3, 1], "948": [5, 5, 4, 5, 5, 1, 4, 5, 3, 1, 5, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 1, 5, 5, 4, 5, 1, 4, 3, 5, 5, 5, 5, 1, 5, 4, 5, 2, 5, 3, 5, 5, 5, 5, 1, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 2, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 2, 4, 4, 5, 3, 5, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 2, 5, 1, 1, 1, 5, 4, 2, 5, 4, 4, 1, 1, 4, 4, 5, 4, 5, 4, 5, 4, 1, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 1, 5, 3, 2, 4, 4, 5, 4, 4, 5, 3, 2, 3, 4, 5, 1, 3, 1, 5, 5, 3, 2, 5, 4, 2, 5, 4, 3, 5, 2, 4, 5, 2, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 1, 5, 3, 4, 4, 5, 3, 3, 2, 3, 3, 4, 5, 3, 5, 1, 2, 5, 2, 5, 5, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 2, 4, 3, 3, 5, 1, 2, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 2, 4, 5, 2, 4, 3, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 5, 4, 5, 1, 2, 5, 5, 1, 3, 4, 3, 3, 4, 3, 5, 2, 1, 5, 3, 4, 3, 3, 4, 2, 5, 2, 2, 3, 5, 3, 3, 1, 4, 5, 2, 5, 3, 3, 5, 5, 4, 4, 5, 4, 2, 3, 4, 4, 4, 3, 5, 3, 5, 5, 5, 4, 5, 5, 2, 5, 5, 4, 4, 2, 5, 5, 4, 4, 2, 5, 3, 3, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 1, 5, 2, 4, 3, 2, 2, 4, 5, 4, 5, 4, 5, 5, 4, 1, 4, 4, 3, 1, 5, 3, 4, 5, 3, 4, 3, 4, 4, 2, 4, 3, 5, 4, 1, 3, 4, 4, 2, 2, 4, 3, 3, 3, 3, 4, 5, 3, 4, 3, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 3, 5, 3, 3, 5, 5, 5, 5, 5, 4, 1, 5, 3, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 3, 4, 3, 2, 5, 5, 5, 4, 5, 3, 5, 5, 5, 2, 5, 3, 5, 5, 5, 2, 1, 5, 4, 4, 5, 4, 1, 5, 5, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 1], "5817": [4, 5, 5, 5, 3, 5, 4, 4, 5, 4], "4539": [1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 1, 1, 3, 1, 1, 5, 5, 1, 1, 3, 1, 1, 4, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 2, 1, 1, 5, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 5, 1, 4, 5, 3, 1, 1, 1, 1, 5, 5, 5, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, 2, 1], "126": [3, 4, 2, 3, 5, 4, 5, 5, 5, 2, 5, 4, 5, 4, 5, 1, 5, 5, 4, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 1, 4, 5, 4, 4, 4, 5, 2, 5], "1863": [4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5], "4678": [2, 4, 1, 3, 4, 5, 4, 2, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 3, 5, 4, 4, 3, 4, 3, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4], "3999": [4, 4, 4, 3, 3, 4, 1, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 5, 4, 4, 1, 4, 4, 1, 4, 4, 4, 3, 3, 5, 5, 3, 3, 3, 5, 4, 3, 5, 4, 3, 1, 1, 4, 5, 3, 3, 2, 1, 2, 3, 1, 2, 3, 3, 5, 4, 3, 5, 4, 2, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 3, 3, 3, 3, 4, 2, 3, 5, 4, 2, 3, 1, 5, 3, 2, 4, 2, 3, 1, 4, 3, 3, 4, 3, 3, 2, 4, 1, 4, 2, 5, 3, 4, 3, 1, 5, 1, 4, 2, 4, 4, 3, 3, 4, 3, 3, 4, 1, 4, 2, 3, 3, 3, 1, 3, 2, 3, 1, 4, 4, 3, 3, 4, 2, 3, 3, 1, 3, 3, 5, 3, 1, 4, 1, 4, 3, 3, 3, 3, 2, 2, 2, 4, 3, 5, 3, 2, 2, 3, 3, 4, 3, 3, 2, 1, 5, 3, 1, 2, 4, 3, 2, 4, 1, 3, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 1, 4, 1, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 4, 1, 4, 3, 5, 3, 5, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 1, 3, 3, 1, 2, 3, 5, 2, 3, 3, 1, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 2, 3, 1, 3, 2, 3, 1, 1, 3, 1, 4, 3, 5, 3, 4, 3, 2, 3, 1, 3, 3, 2, 4, 2, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 1, 1, 1, 4, 3, 3, 4, 4, 5, 5, 1, 1, 3, 4, 1, 4, 3, 3, 1, 5, 4, 3, 4, 1, 1, 3, 2, 5, 5, 3, 3, 3, 3, 2, 2, 2, 4, 4, 1, 4, 4, 3, 3, 3, 3, 2, 2, 1, 4, 1, 4, 4, 2, 2, 5, 3, 4, 3, 5, 4, 4, 3, 3, 3, 5, 1, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 1, 4, 3, 3, 4, 4, 2, 2, 3, 3, 5, 4, 1, 4, 4, 3, 5, 3, 2, 4, 4, 2, 3, 1, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 2, 3, 4, 5, 3, 4, 3, 1, 4, 4, 1, 1, 1, 3, 2, 1, 2, 3, 1, 3, 4, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 5, 3, 2, 4, 5, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 5, 2, 2, 4, 3, 5, 4, 3, 5, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 2, 5, 3, 2, 2, 3, 3, 3, 2, 4, 1, 3, 1, 4, 2, 3, 4, 4, 3, 3, 1, 3, 4, 2, 3, 1, 3, 4, 3, 3, 2, 3, 5, 2, 3, 5, 4, 2, 4, 4, 2, 1, 4, 3, 2, 4, 3, 2, 3, 5, 2, 5, 2, 1, 2, 3, 2, 3, 1, 5, 4, 5, 5, 5, 3, 3, 3, 4, 1, 3, 4, 4, 4, 4, 4, 4, 3, 1, 3, 1, 5, 4, 5, 2, 3, 3, 3, 4, 3, 3, 4, 1, 4, 3, 4, 3, 2, 2, 4, 1, 3, 1, 5, 3, 5, 3, 3, 1, 1, 3, 5, 3, 3, 5, 2, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 5, 3, 5, 3, 3, 4, 3, 3], "3102": [5, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 3, 1, 3, 3, 5, 3], "2855": [5, 4, 1, 5, 2, 5, 1, 5, 5, 5, 5, 5, 5, 5], "4040": [4, 5, 2, 4, 4, 5, 3, 4, 4, 3, 2, 4, 3, 2, 4, 3, 5, 4, 3, 2, 4, 1, 2, 4, 2, 2, 3, 1, 4, 2, 1, 2, 3, 2, 2, 3, 1, 4, 2, 1, 5, 3, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 1, 3, 3, 3, 2, 3, 2, 1, 4, 4, 2, 4, 2, 2, 2, 3, 4, 5, 5, 4, 1, 2, 3, 3, 4, 3, 3, 1, 3, 2, 2, 3, 1, 3, 2, 1, 5, 1, 2, 2, 2, 1, 3, 2, 5, 4, 3, 3, 3, 1, 4, 3, 3, 4, 4, 3, 4, 5, 2, 2, 3, 3, 3, 4, 4, 2, 1, 3, 2, 3, 2, 2, 3, 2, 1, 3, 5, 3, 3, 1, 2, 1, 2, 5, 4, 2, 5, 1, 4, 2, 4, 4, 3, 5, 2, 5, 4, 5, 5, 5, 1, 3, 4, 5, 3], "2401": [5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4], "3342": [3, 4, 3, 4, 3, 5, 3, 3, 3, 4, 3, 3, 3], "894": [5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 2, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5], "5483": [3, 3, 3, 4, 3, 3, 5, 5, 3, 2, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 2, 2, 3, 4, 1, 5, 5, 3, 5, 5, 5, 2, 3, 5, 1, 4, 1, 4, 3, 4, 3, 4, 4, 5, 5, 2, 4, 3, 3, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 1, 3, 3, 4, 3, 5, 4, 3, 5, 5, 5, 3, 4, 5, 5, 3, 4, 4, 4, 4, 4, 1, 5, 4, 4, 4, 4, 4, 3, 3, 1, 4, 3, 2, 3, 2, 2, 2, 3, 3, 3, 5, 4, 4, 4, 4, 5, 3, 5, 5, 3, 2, 4, 4, 5, 5, 3, 5, 2, 4], "1113": [4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 2, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 5, 2, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 5, 4, 3, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 1, 4, 4, 5, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 4, 3, 3, 4, 5, 5, 5, 5, 2, 4, 3, 4, 2, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4], "5213": [4, 4, 4, 4, 3, 5, 3, 3, 3, 5, 4], "4925": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], "5397": [3, 2, 4, 1, 5, 1, 5, 4, 4, 5, 5, 4, 2, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 2, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 5, 3, 1, 4, 4, 5, 4, 2, 5, 4, 3, 3, 5, 5, 2, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 3, 5, 2, 3, 4, 2, 2, 5, 3, 5, 5, 3, 2, 4, 3, 4, 4, 2, 5, 4, 2, 3, 1, 1, 4, 3, 2, 4, 4, 3, 3, 3, 1, 4, 5, 4, 4, 1, 5, 5, 4, 2, 5, 5, 4, 3, 3, 4, 2, 4, 4, 4, 2, 3, 3, 5, 1, 3, 3, 5, 3, 2, 5, 3, 1, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 2, 4, 3, 5, 4, 3, 5, 2, 2, 2, 3, 5, 4, 1, 4, 5, 2, 5, 4, 4, 3, 5, 2, 4, 5, 5, 4, 5, 2, 4, 4, 5, 5, 3, 4, 2, 3, 5, 2, 3, 3, 1, 5, 3, 5, 4, 1, 4, 3, 4, 1, 1, 3, 4, 4, 3, 4, 1, 4, 3, 4, 3, 3, 4, 1, 4, 3, 4, 1, 1, 3, 5, 1, 4, 3, 2, 3, 4, 3, 3, 2, 4, 4, 3, 1, 4, 3, 2, 4, 4, 1, 3, 2, 3, 3, 5, 2, 4, 1, 4, 3, 2, 1, 4, 4, 2, 3, 1, 5, 1, 5, 4, 5, 3, 5, 4, 3, 5, 4, 4, 3, 2, 3, 5, 2, 4, 2, 2, 2, 5, 2, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 5, 4, 3, 3, 4, 5, 5, 3, 2, 3, 4, 3, 3, 4, 5, 4, 1, 4, 3], "5586": [4, 3, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 4, 5], "13": [3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 5, 3, 3, 3, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 5, 3, 3, 3, 3, 3, 1, 2, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 2, 2, 3, 3, 2, 5, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4], "3529": [4, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 2, 1, 4, 4, 5, 4, 4, 4, 1, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 1, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 1, 3, 3, 3, 3, 2, 1, 4, 4, 3, 2, 2, 2, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 4, 3, 2, 3, 2, 3, 5, 4, 4, 2, 2, 3, 3, 4, 2, 4, 4, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 5, 4, 3, 3, 2, 2, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 2, 3, 5, 3, 3, 3, 3, 4, 3], "4816": [4, 4, 4, 5, 4, 5, 3, 3, 2, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 5, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 2, 4, 4, 4, 2, 2, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 3, 2, 5, 5, 4, 4, 5, 4, 4, 2, 3, 5, 5, 4, 5, 3, 1, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 2, 4, 5, 4, 3, 3, 5, 2, 5, 5, 4, 3, 4, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 2, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 1, 5, 5, 3, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 5, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 1, 4, 4, 4, 5], "2172": [4, 2, 2, 2, 3, 5, 3, 3, 3, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 2, 5, 3, 4, 3, 4, 2, 3, 2, 4, 4, 2, 3, 4, 3, 5, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 1, 2, 2, 2, 1, 4, 3, 2, 1, 2, 4, 2, 2, 3, 3, 3, 3, 4, 2, 3, 1, 4, 4, 1, 3, 3, 2, 3, 5, 4, 3, 4, 3, 4, 2, 3, 1, 4, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 1, 1, 3, 3, 2, 1, 5, 3, 2, 1, 4, 3, 4, 3, 1, 4, 4, 3, 3, 2, 3, 4, 2, 1, 5, 3, 4, 3, 3, 3, 3, 3, 4, 5, 2, 4, 3, 3, 4, 2, 4, 5, 1, 3, 3, 3, 4, 3, 2, 3, 3, 2, 4, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 1, 3, 3, 2, 5, 5, 4, 4, 3, 3, 3, 4, 2, 3, 3, 2, 4, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 1, 3, 3, 2, 5, 3, 1, 3, 5, 3, 4, 2, 4, 4, 3, 3, 3, 2, 2, 4, 3, 2, 3, 5, 5, 2, 2, 3, 2, 3, 4, 4, 2, 4, 3, 4, 4, 3, 2, 3, 1, 4, 3, 4, 3, 2, 3, 3, 4, 1, 2, 1, 4, 3, 3, 3, 3, 4, 3, 1, 3, 3, 3, 2, 1, 3, 2, 5, 3, 3, 1, 3, 3, 3, 2, 3, 3, 5, 4, 4, 3, 3, 1, 3, 3, 4, 4, 3, 2, 3, 2, 5, 3, 3, 2, 5, 3, 3, 3, 2, 5, 3, 5, 3, 3, 2, 3, 4, 3, 5, 2, 4, 5, 3, 1, 3, 3, 3, 3, 2, 3, 3, 3, 2, 5, 5, 4, 4, 1, 5, 2, 3, 5, 4, 2, 3, 5, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 2, 4, 3, 1, 4, 1], "3170": [2, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 5, 3, 4, 4, 3, 4, 2, 4, 5, 5, 2, 4, 4, 2, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5], "2371": [3, 1, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 1, 3, 3, 5, 3, 3, 5, 5, 5, 5, 1, 5, 5, 3, 3, 4, 4, 4, 4, 2, 4, 2, 4, 3, 3, 3, 2, 3, 5, 5, 2], "3652": [4, 4, 4, 3, 2, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 5, 2, 4, 5, 2, 4, 4, 2, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 1, 4, 1, 4, 2, 5, 2, 4, 4, 2, 5, 2, 3, 3, 4, 4, 5, 2, 2, 3, 2, 3, 4, 4, 2, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 2, 2, 4, 5, 3, 2, 2, 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 2, 3, 4, 4, 4, 2, 3, 3, 4, 2, 3, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 5, 3, 3, 3, 3, 5, 4, 2, 4, 4, 2, 4, 4, 2, 3, 4, 4, 2, 3, 4, 3, 2, 5, 4, 2, 2, 3, 3, 3, 2, 4, 4, 3, 3, 2, 4, 4, 5, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 2, 3, 5, 3, 4, 4, 5, 2, 2, 2, 4, 3, 1, 3, 4, 4, 4, 3, 3, 3, 4, 4, 1, 3, 4, 4, 4, 3, 2, 4, 5, 3, 4, 4], "379": [1, 5, 5, 5, 5, 4, 2, 2, 1, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 2, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 3, 4], "4445": [5, 4, 2, 3, 3, 3, 3, 3, 1, 4, 1, 3, 5, 5, 2, 2, 3, 3, 2, 2, 2, 5, 1, 4, 1, 2, 2, 4, 4, 1, 3, 3, 4, 2, 3, 4, 4, 3, 5, 3, 3, 1, 3, 3, 3, 3, 3, 5, 1, 2, 1, 3, 2, 5, 5, 2, 2, 2, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 2], "23": [2, 5, 2, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 4, 5, 4, 4, 2, 3, 3, 2, 4, 1, 5, 4, 2, 2, 5, 5, 3, 3, 3, 4, 1, 1, 3, 2, 3, 2, 2, 2, 4, 3, 3, 3, 1, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 3, 2, 2, 4, 4, 5, 3, 4, 4, 3, 1, 3, 3, 3, 5, 3, 2, 3, 5, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 2, 2, 4, 4, 2, 3, 2, 5, 4, 2, 2, 3, 1, 4, 2, 5, 3, 2, 3, 5, 5, 3, 4, 2, 2, 4, 3, 1, 3, 4, 3, 2, 3, 4, 4, 5, 5, 5, 5, 3, 2, 3, 2, 3, 2, 3, 4, 3, 2, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 5, 2, 4, 4, 4, 3, 3, 3, 4, 5, 2, 3, 1, 4, 4, 3, 3, 3, 1, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 5, 5, 3, 5, 5, 3, 4, 2, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 4, 2, 5, 4, 2, 4, 4, 4, 5, 5, 3, 2, 4, 2, 3, 3, 5, 1, 3, 4, 5, 2, 5, 5, 3, 5, 3, 4, 4, 3, 2, 3, 2, 3, 5, 2, 3, 3, 3, 2, 5], "230": [4, 4, 4, 4, 3, 3, 5, 3, 2, 4, 3, 5, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 5, 4, 1, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 3, 4, 5, 3, 5, 1, 4, 5, 5, 4, 5, 1, 4, 5, 4, 3, 4, 5, 3, 5, 4, 5, 4, 5, 2, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3], "359": [5, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 2, 5, 5, 3, 4, 4, 3, 4, 4, 4], "1365": [4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 4, 5, 4, 2, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 4, 2, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 2, 2, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 4, 5, 2, 3, 2, 5, 5, 4, 5, 3, 2, 4, 3, 4], "2105": [2, 3, 3, 3, 4, 4, 4, 2, 2, 3, 4, 3, 3, 4, 4, 3, 5, 2, 2, 3, 5, 2, 4, 4, 4, 2, 2, 5, 4, 2, 5, 2, 4, 4, 3, 3, 2, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 2, 2, 3, 4, 2, 4, 1, 2, 3, 2, 3, 2, 2, 2, 4, 3, 2, 4, 2, 1, 4, 2, 3, 3, 2, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 2, 3, 3, 4, 2, 4, 4, 2, 3, 3, 3, 2, 4, 2, 4, 2, 3, 3, 2, 4, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 1, 4, 3, 3, 4, 4, 3, 5, 3, 5, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 3, 5, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 5, 5, 2, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 2, 5, 4, 5, 4, 4, 3, 3, 4, 3, 2, 4, 4, 3, 4, 5, 3, 3, 3, 3, 1, 4, 4, 3, 2, 4, 2, 4, 2, 3, 4, 2, 3, 5, 3, 3, 2, 5, 5, 2, 5, 3, 4, 5, 3, 4, 2, 3, 2, 3, 2, 4, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 1, 2, 3, 4, 4, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 2, 2, 2, 3, 4, 2, 3, 1, 3, 3, 5, 2, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 1, 4, 5, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 2, 4, 3, 3, 4, 1, 3, 4, 3, 2, 4, 3, 5, 3, 3, 4, 3, 5, 1, 3, 3, 4, 2, 4, 5, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 2, 4, 4, 5, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 3, 2, 2, 4, 1, 2, 3, 4, 3, 4, 2, 3, 5, 4, 2, 5, 4, 2], "5360": [3, 5, 2, 3, 4, 1], "1865": [5, 5, 4, 4, 3, 3, 5, 4, 5, 3, 5, 5, 2, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 3, 3, 3, 3, 3, 5, 3, 3, 5, 4, 4, 4, 3, 3, 3, 3, 5, 4, 4, 3, 4, 4, 4, 5, 3, 2, 4, 5, 2, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 2, 3, 5, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 4, 2, 5, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 5, 4, 4, 5, 3, 3, 4, 2, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 5, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 5, 3], "3364": [4, 3, 3, 3, 3, 4, 4, 5, 3, 4, 3, 2, 4, 5, 3, 4, 5, 3, 5, 2, 3, 4, 3, 3, 4, 3, 1, 3, 4, 2, 4, 4, 4, 5, 4, 2, 4, 5, 4, 3, 5, 3, 5, 3, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 5, 2, 3, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 4, 5], "3844": [4, 5, 5, 4, 4, 5, 4, 1, 5, 5, 5, 4, 5, 3, 2, 4, 5, 1, 3, 5, 2, 5, 5, 4, 5, 3, 5, 3, 5, 5, 5, 5, 3, 5, 4, 2, 4, 1, 4, 5, 4, 2, 4, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 1, 4, 4, 2, 5, 5, 3, 1, 4, 5, 2, 2, 5, 5, 5, 5, 5, 5, 2, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 2, 4, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4], "2858": [4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 1, 2, 3, 3, 3, 3, 4, 4, 5, 4, 2, 3], "3194": [4, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 4, 3], "2804": [4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 2, 4, 5, 3, 4, 3, 4, 3, 4, 3, 5, 2, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 5, 3, 3, 4, 4, 1, 4, 5, 5, 4, 5, 4, 2, 4, 5, 4, 5, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 2, 5, 3, 5, 4, 1, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 2, 5, 2, 4, 3, 3, 4, 3, 3, 4, 5, 3, 5, 4, 3], "4417": [5, 4, 3, 4, 5, 4, 2, 2, 3, 3, 4, 5, 3, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 4, 5, 2, 5, 5, 4, 3, 5, 4, 3, 4, 4, 2, 4, 1, 5, 5, 3, 4, 2, 3, 4, 3, 5, 5, 3, 2, 3, 5, 5, 3, 4, 2, 3, 2, 3, 3, 5, 3, 5, 3, 3, 5, 3, 5, 4, 5, 2, 5, 4, 3, 3, 4, 4, 4, 3], "5035": [4, 3, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 5, 3, 4, 3, 4, 4, 2, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 5, 3, 3, 4, 5, 3, 5, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 4, 2, 2, 4, 4, 4, 3, 5, 3, 2, 3, 5, 5, 3, 3, 4, 4, 3, 3, 3, 5, 5, 4, 4, 2, 3, 3, 5, 5, 3, 3, 3, 5, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 2, 4, 5, 5, 4, 3, 2, 3, 3, 4, 3, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 2, 4, 3, 4, 5, 3], "3104": [5, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 1, 3, 4, 5, 5, 5], "3083": [4, 3, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 3, 3, 5, 1, 2, 4, 3, 3, 3, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 2, 5, 3, 3, 5, 5, 1, 2, 2, 5, 4, 2, 4, 4, 4, 5, 3, 5, 3, 3, 5, 1, 2, 3, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 3], "3658": [5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 4, 2, 5, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 5, 2, 4, 4, 3, 4, 3, 5, 4, 3, 5, 1, 4, 4, 5, 2, 3, 2, 3, 5, 3, 3, 2, 4, 3, 2, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 2, 5, 2, 3, 3, 2, 3, 5, 2, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 4, 4, 3, 2, 5, 2, 3, 4, 4, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 3, 3, 3, 4, 2, 5, 5, 4, 3, 4, 4, 5, 2, 2, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 5, 1, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4], "4776": [5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5], "978": [5, 2, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 3, 5, 5, 1, 5, 5, 4, 4], "3217": [4, 5, 4, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 3, 3, 5, 4, 5, 5, 3, 5, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 3, 5, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 1, 4, 3, 3, 4, 4, 3, 5, 3, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 2, 4, 5, 4, 2, 3, 4, 4, 3, 2, 2, 5, 4, 4, 3, 3, 5, 4, 2, 5, 2, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 4, 1, 3, 3, 3, 5, 3, 5, 3, 2, 5, 2, 5, 4, 3, 4, 3, 3, 3, 5, 2, 5, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 2, 4, 4, 2, 5, 4, 4, 3, 4, 2, 4, 5, 4, 2, 3, 5, 4, 5, 4, 3, 2, 5, 4, 4, 4, 1, 5, 3, 2, 4, 5, 3, 3, 3, 4, 2, 3, 4, 3, 1, 2, 2, 5, 3, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 5, 1, 3, 4, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 4, 2, 2, 3, 5, 4, 5, 5, 2, 4, 5, 4, 5, 4, 5, 3, 2, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 2, 4, 4, 5, 5, 2, 5, 4, 5, 2, 5, 3, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4], "2763": [1, 3, 1, 1, 5, 1, 2, 4, 1], "3258": [5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 1, 4, 3, 5, 4, 4, 5, 4, 5, 2, 5, 4, 1, 5, 5, 3, 4, 4, 5, 5], "1766": [4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 2, 4], "2861": [4, 2, 1, 5, 3, 4, 2, 2, 3, 4, 4], "3437": [4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5], "1844": [5, 4, 4, 2, 4, 5, 1], "2425": [3, 5, 3, 5, 5, 3, 3, 3, 5, 4, 5, 4, 2, 2, 5, 4, 3, 5, 2, 3, 4, 4, 2, 4, 4, 3, 4, 5, 5, 4, 5, 3, 2, 4, 3, 5, 3, 3, 2, 4, 5, 4, 3, 2, 1, 5, 5], "4389": [5, 4, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 4, 1, 4, 3, 3, 5, 1, 3, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 1, 4, 3, 4, 3, 2, 2, 5, 5, 4, 5, 5, 1, 3, 5, 4, 2, 3, 3, 3, 2, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 4, 4, 3, 3, 2, 3, 2, 3, 4, 4, 4, 3, 1, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 1, 4, 4], "4851": [4, 3, 3, 5, 4], "1404": [3, 2, 3, 1, 3, 1, 4, 2, 2, 1, 3, 3, 1, 4, 2, 2, 5, 1, 4, 2, 5, 2, 4, 3, 4, 4, 2, 4, 2, 4, 5, 4, 4, 5, 1, 2, 1, 3, 2, 1, 2, 1, 4, 5, 2, 2, 4, 4, 2, 4, 4, 3, 3, 4, 1, 2, 1, 2, 4, 2, 2, 2, 1, 3, 4, 2, 2, 2, 2, 4, 3, 4, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 3, 2, 3, 2, 2, 3, 2, 3, 1, 5, 2, 3, 4, 3, 2, 1, 1, 3, 4, 4, 4, 4, 3, 2, 1, 2, 5, 3, 2, 3, 4, 1, 3, 4, 3, 1, 3, 1, 3, 2, 3, 3, 1, 2, 3, 3, 2, 4, 4, 2, 1, 2, 2, 2, 3, 2, 4, 2, 2, 5, 3, 3, 4, 2, 2, 3, 4, 2, 2, 2, 5, 3, 1, 3, 3, 4, 3, 3, 3, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 4, 5, 5, 3, 2, 2, 4, 3, 4, 3, 3, 3, 4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 5, 3, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 3, 1, 3, 4, 4, 4, 3, 5, 4, 3, 3, 2, 3, 1, 1, 2, 2, 4, 2, 4, 2, 1, 1, 4, 3, 4, 3, 2, 1, 2, 3, 2, 2, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 2, 3, 4, 2, 4, 4, 2, 2, 2, 4, 4, 3, 4, 2, 3, 3, 5], "1917": [3, 5, 5, 5, 3, 4, 3, 5, 5, 5, 2, 2, 5, 3, 4, 5, 1, 5, 5, 5, 1, 5, 4, 3, 5, 4, 5, 5, 3, 4, 3, 4, 5, 5, 1, 2, 5, 4, 2, 2, 4, 2, 5, 3, 4, 2, 4, 5, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 5, 5, 1, 5, 5, 4, 5, 4], "4308": [4, 4, 4, 4, 2, 4, 4, 5, 1, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 5, 3, 4, 4, 5, 3, 5, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4], "4251": [3, 3, 2, 5, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 3, 5, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 2, 5, 4, 4, 2, 4, 3, 4, 4, 4, 3], "2299": [2, 3, 4, 1, 5, 3, 4, 3, 3, 1, 1, 1, 2, 1, 1, 3, 5, 3, 3, 4, 2, 5, 4, 3, 5, 1, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 1, 2, 3, 3, 4, 4, 1, 1, 4, 2, 1, 3, 3, 3, 3, 5, 3, 3, 5, 4, 1, 2, 2, 3, 1], "3011": [4, 3, 3, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 2, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5], "1947": [5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 1, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 3, 5, 4, 2, 4, 4, 4, 5, 4, 1, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 1, 5, 5, 4, 3, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 3, 5, 5, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 5, 5, 4, 5, 4, 3, 3, 4], "3020": [4, 4, 4, 3, 4, 3, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 2, 4, 3, 4, 4, 4, 5, 4, 2, 4, 4, 5, 3, 5, 3, 3, 5, 4, 4, 4, 4, 5, 5, 3, 3, 5, 5, 3, 3, 4, 2, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 2, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4], "4756": [3, 3, 5], "2380": [1, 1, 2, 4, 3, 4, 3, 3, 1, 1, 1, 3, 4, 4, 4, 3, 3, 4, 3, 2, 2, 4, 3, 2, 4, 5, 4, 5, 3, 2, 5, 5, 4, 4, 4, 4, 3, 4, 2, 3, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 2, 2, 4, 5, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 2, 3, 2, 2, 2, 3, 3, 1, 3, 5, 3, 3, 4, 3, 3, 5, 4, 2, 4, 3, 1, 3, 4, 2, 4, 4, 4, 3, 2, 4, 1, 3, 3, 4, 3, 3, 3, 5, 3, 3, 4, 5, 3, 5, 3, 4, 2, 3, 2, 4, 4, 3, 3, 3, 2, 4, 3, 4, 1, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 1, 4, 5, 3, 1, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 5, 3, 4, 4, 4, 3, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 3, 5, 2, 4, 5, 3, 3, 3, 3, 2, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 1, 4, 1, 2, 3, 2, 5, 2, 2, 3, 3, 5, 3, 3, 2, 4, 2, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 2, 4, 4, 3, 3, 2, 3, 4, 5, 5, 4], "2428": [4, 4, 4, 4, 4, 5, 5, 5, 1, 4, 1, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 1, 5, 4, 1, 5, 4, 4, 5, 3, 5, 4, 4, 4, 1, 4, 4, 1, 4, 5, 5, 4, 5, 3, 1, 4, 3, 4, 4, 4, 1, 5, 2, 4, 4, 5, 1, 4, 4, 4, 4, 4, 1, 5, 4, 1, 5, 1], "3816": [5, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 5, 3, 5, 4, 4, 3, 4, 2, 4, 5, 4, 2, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 3, 5, 4, 3, 3, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 2, 4, 2, 5, 3, 4, 4, 3, 5, 4, 4, 4, 5, 2, 2, 4, 5, 3, 3, 2, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 5, 2, 5, 4, 5, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 1, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 2, 5, 4, 3, 5, 4, 5, 2, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 2, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 5, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 5, 5, 4, 3, 5, 3, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 5, 2, 5, 4, 4, 3, 5, 4, 1, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 5, 4, 3, 4, 3, 2, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 3, 4, 3, 5, 4], "5417": [3, 3, 2, 4, 4, 3, 3, 3, 2, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 2, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 5], "1762": [5, 3, 3, 3, 2, 4, 4, 5, 4, 4, 5, 4, 3, 2, 4, 3, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 1, 3, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 5, 3, 5, 3, 5, 3, 4, 5, 5], "2254": [3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 5, 5, 3, 4, 1, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3], "3493": [3, 5, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 5, 3, 2, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 3, 5, 5, 4, 3, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 5, 3, 3, 4, 3, 2, 4, 4, 4, 4, 3, 5, 4, 2, 5, 5, 5, 3, 4, 3, 3, 3, 5, 3, 3, 3, 2, 2, 4, 1, 4, 5, 3, 3, 3, 2, 4, 4, 5, 3, 5, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 4, 4, 4, 3, 5, 4, 5, 5, 2, 4, 1, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 3, 2, 2, 2, 3, 4, 3, 3, 3], "683": [5, 4, 5, 4, 3, 3, 4, 4, 2, 2, 4, 4, 3, 3, 5, 3, 5, 1, 4, 2, 3, 3, 5], "4490": [3, 3, 4, 3, 5, 3, 3, 5, 5, 4, 3, 5, 2, 4, 4, 4, 2, 5, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 2, 3, 4, 3, 3, 3, 4, 4, 5, 3, 2, 5, 5, 5, 1, 4, 3, 4, 2, 2, 5, 4, 3, 5, 4, 1, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 2, 5, 3, 4, 3, 5, 5, 4, 3, 4, 3, 5, 1, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 4, 5, 3, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 5, 2, 5, 4, 5, 5, 5, 3, 2, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 2, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 2, 2, 5, 3, 4, 3, 5, 4, 5, 4, 3, 3, 3, 4, 1, 3, 1, 5, 4, 3, 3, 3, 4, 4, 2, 5, 3, 2, 2, 3, 4, 3, 4, 3, 3, 1, 5, 5, 3, 3, 5, 2, 5, 5, 3, 3, 3, 4, 2, 2, 5, 3, 3, 2, 3, 4, 5, 1, 3, 5, 3, 2, 5, 4, 4, 3, 2, 4, 4, 5, 3, 2, 4, 3, 2, 4, 4, 5, 5, 4, 3, 3, 4, 3, 5, 5, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 1, 3, 2, 2, 2, 2, 4, 5, 4, 3, 4, 4, 2, 2, 4, 3, 3, 4], "3297": [4, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 2, 3, 3, 2, 3, 2, 3, 5, 3, 3, 4, 3, 3, 3, 2, 3, 3, 2, 4, 3, 2, 4, 2, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 5, 4, 3, 3, 1, 4, 3, 5, 5, 2, 5], "4561": [3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 5, 5, 4, 2, 5, 4, 4, 4, 4, 5, 2, 4, 3, 3, 3, 2, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 3, 2, 4, 2, 5, 3, 1, 5, 3, 4, 3, 5, 5, 3, 4, 1, 4, 5, 3, 4, 3, 3, 5, 4, 3, 5, 5, 4, 2, 3, 4, 5, 5, 4, 4, 5, 3, 1, 4, 3, 4, 4, 5, 3, 5], "3468": [5, 5, 5, 4, 2, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 2, 4, 3, 3, 4, 5, 4, 4, 3, 4, 4, 2, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4], "4327": [3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 5, 2, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 4, 4, 4], "973": [5, 2, 4, 5, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 1, 3, 5, 3, 4, 3, 5, 4, 5, 4, 3, 3, 1, 4, 3, 3, 4, 1, 3, 5, 4, 4, 5, 4, 2, 4, 3, 4, 5, 4, 5, 4, 5, 2, 5, 2, 4, 5, 5, 3, 2, 5, 4, 5, 4, 3, 3, 3, 4, 5, 2, 5, 2, 2, 1, 3, 5, 5, 3, 3, 5, 5, 4, 4, 1, 4, 3, 3, 4, 5, 5, 4, 3, 4, 3, 1, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 2, 1, 3, 2, 3, 2, 4, 4, 4, 5, 3, 3, 3, 4, 2, 3, 5, 4, 3, 5, 4, 5, 2, 3, 3, 3, 4, 1, 4, 4, 3, 4, 4, 4, 1, 4, 5, 4, 4, 3, 2, 1, 5, 3, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 2, 4, 5, 3, 4, 2, 2, 5, 3, 2, 1, 3, 5, 2, 5, 4, 3, 5, 1], "2314": [2, 4, 4, 4, 3, 1], "4733": [4, 5, 5, 4, 4, 4, 4, 3, 2, 3, 4, 3, 4, 2, 3, 2, 1, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 3, 5, 4, 5, 3, 5, 3, 4, 5, 5, 4, 4, 4, 2, 4, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 2, 5, 4, 5, 4, 3, 2, 3, 4, 5, 4, 3, 5, 4, 5, 4, 1, 2, 3, 1, 3, 5, 5, 3, 3, 5, 4, 3, 5, 5, 5], "654": [3, 3, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 4, 3, 2, 5, 3, 4, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 4, 3, 1, 1, 4, 3, 5, 2, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 2, 2, 2, 3, 2, 3, 4, 2, 3, 5, 5, 3, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 2, 4, 2, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 2, 4, 5, 1, 3, 3, 3, 5, 4, 3, 3, 2, 5, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 1, 3, 3, 4, 4, 4, 1, 4, 3, 5, 4, 2, 4, 3, 3, 3, 4, 3, 2, 4], "2822": [3, 5, 5, 3, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 3, 4, 5, 3, 1, 4, 4, 3, 4, 3, 3, 4, 3, 5, 3, 3, 5], "3874": [2, 4, 2, 5, 5, 5, 2, 2, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 2, 5, 5, 5, 5, 5, 1, 3, 3, 5, 5, 4, 4, 3, 5, 5, 1, 5, 5, 2, 5, 2, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 3, 5, 5, 3, 3, 5, 5, 1, 5, 5, 4, 2, 5, 5, 4, 3, 3, 3, 3, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3], "2911": [4, 4, 5, 5, 2, 3, 3, 3, 4, 1, 4, 4, 4, 3, 2, 5, 5, 3, 5, 3, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4], "1396": [4, 3, 5, 3, 3, 1, 3, 5, 4, 4, 5, 5, 3, 5, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 5, 2, 4, 5, 5, 5, 3, 3, 3, 4, 4, 3, 2, 1, 1, 2, 5, 2, 4, 4, 4, 3, 4, 2, 4, 2, 5, 1, 5, 4, 5, 5, 2, 4, 4, 4, 5, 1, 3, 5, 5, 4, 1, 2, 4, 5, 4, 4, 2, 4, 5, 1, 5, 4, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 3, 5, 5, 1, 4, 3, 2, 4, 3, 1, 5, 4, 5, 3, 4, 1, 4, 4, 2, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 2, 5, 5, 4, 3, 4, 5, 2, 5, 5, 5, 2, 1, 2, 5, 4, 3, 3, 5, 5, 5, 4, 1, 4, 5, 5, 5, 5, 5, 4, 1, 4, 4, 4, 1, 5, 5, 5, 5, 5, 4, 4, 4, 3, 1], "877": [4, 3, 5, 3, 3, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 3, 2, 4, 4, 5, 4, 2, 5, 3, 5, 3, 3, 1, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 2, 4, 1, 4, 4, 1, 1, 3, 4, 2, 1, 3, 3, 4, 3, 3, 4, 2, 3, 2, 4, 3, 4, 2, 5, 1, 4, 4, 2, 3, 4, 2, 4, 2, 4, 3, 3, 4, 2, 4, 3, 3, 5, 4, 3, 3, 3, 4, 5, 2, 4, 5, 2, 2, 2, 1, 2, 2, 2, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 1, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 2, 3, 4, 3, 2, 4, 4, 4, 5, 4, 5, 2, 5, 3, 3, 4, 3, 4, 2, 3, 2, 3, 3, 1, 1, 4, 1, 3, 3, 3, 4, 4, 3, 3, 5, 5, 2, 3, 3, 4, 3, 5, 2, 1, 4, 2, 4, 3, 2, 3, 2, 3, 4, 4, 2, 3, 5, 2, 3, 4, 3, 2, 3, 4, 5, 3, 4, 2, 2, 5, 2, 4, 4, 5, 2, 3, 5, 3, 2, 3, 3, 5, 3, 4, 4, 4, 3, 3, 2, 2, 5, 4, 4, 2, 4, 3, 3, 4, 2, 3, 3, 3, 1, 3, 5, 5, 3, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 3, 3, 1, 3, 5, 4, 5, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 1, 3, 2, 1, 4, 2, 4, 2, 4, 3, 4, 2, 5, 3, 3, 5, 1, 3, 2, 5, 1, 3, 4, 4, 4, 2, 1, 4, 3, 4, 4, 4, 3, 4, 3, 3, 1, 1, 4, 4, 1, 4, 2, 3, 3, 3, 3, 2, 2, 4, 4, 3, 5, 4, 4, 5, 3, 3, 3, 2, 4, 1, 4, 5, 1, 4, 3, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 2, 4, 2, 3, 3, 2, 1, 3, 5, 5, 2, 4, 3, 5, 2, 3, 5, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 5, 2, 3, 2, 3, 5, 5, 1, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 2, 2, 1, 3, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 4, 1, 3, 3, 2, 3, 2, 2, 4, 4, 4, 5, 3, 5, 3, 3, 2, 2, 4, 3, 5, 4, 2, 2, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 4, 3, 3, 5, 4, 3, 3, 4, 2, 3, 4, 3, 4, 3, 5, 2, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 3, 2, 4, 3, 4, 4, 5, 5, 3, 1], "5592": [3, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 5, 4, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 2, 4, 4, 2, 3, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 3, 5, 5, 5, 3, 4], "5648": [5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 2, 2, 4, 5, 5, 2, 4, 5, 3, 3, 5, 4, 4, 4, 5, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 2, 4, 5, 3, 2, 2, 1, 3, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 1, 5, 4, 3, 4, 4, 3, 4], "2387": [5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 4, 5, 2, 3, 4, 4, 3, 3, 3, 5, 4, 4, 5, 5, 5, 3, 3, 5, 3, 2, 4, 4, 4, 3, 5, 3, 4, 4, 5, 3, 3, 4], "3008": [4, 5, 4, 5, 3, 5, 4, 3, 5, 2, 3, 4, 4, 5, 4, 3, 2, 5, 4, 3, 3, 5, 3], "4423": [4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 3, 4], "5782": [3, 5, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 1, 5, 2, 3, 4, 4, 3, 3, 4, 1, 4, 3, 4, 3, 3, 5, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 3, 2, 4, 3, 3, 3, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 5, 3, 5, 4, 3, 2, 5, 3, 3], "5193": [4, 5, 5, 4, 2, 4, 4, 2, 3, 3, 3, 4, 5, 4, 2, 4, 3, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 2, 3, 4, 5, 4, 3, 4, 2, 4, 3, 5, 4, 5, 4, 3, 3, 2, 2, 5, 5, 4, 4, 5, 5, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 5, 5, 3, 5, 3, 4, 5, 4, 5, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 2, 4, 5, 5, 2, 4, 4, 4, 5, 3, 3, 4, 3, 2, 3, 4, 2, 4, 1, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 2], "5820": [4, 5, 5, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 2, 4, 5, 1, 3, 4, 4, 5, 4, 4, 3, 2, 3, 4, 2, 2, 4, 2, 4, 3, 4, 2, 3, 4, 1, 3, 5], "1941": [3, 3, 4, 2, 4, 2, 4, 3, 4, 3, 3, 4, 5, 5, 1, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 3, 2, 3, 4, 3, 5, 3, 5, 3, 3, 5, 4, 3, 3, 1, 5, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 5, 1, 3, 4, 1, 3, 3, 4, 4, 4, 4, 2, 4, 5, 4, 4, 1, 3, 5, 5, 4, 4, 5, 1, 4, 5, 5, 5, 3, 3, 2, 1, 4, 3, 1, 2, 5, 4, 2, 4, 3, 1, 5, 4, 3, 2, 2, 3, 4, 3, 3, 4, 4, 4, 2, 5, 5, 3, 4, 3, 4, 4, 2, 2, 3, 4, 4, 1, 3, 2, 3, 4, 4, 5, 3, 1, 2, 3, 3, 4, 4, 3, 3, 5, 3, 3, 5, 2, 4, 5, 3, 4, 5, 4, 4, 4, 4, 2, 3, 3, 1, 3, 4, 5, 5, 3, 3, 2, 1, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 5, 2, 5, 4, 5, 5, 5, 5, 1, 2, 3, 2, 4, 2, 2, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 4, 1, 1, 4, 3, 3, 2, 3, 3, 5, 4, 2, 5, 1, 3, 1, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 2, 2, 1, 1, 4, 1, 5, 3, 3, 4, 3, 4, 4, 3, 2, 5, 4, 4, 3, 5, 4, 4, 5, 3, 3, 2, 5, 3, 1, 5, 4, 4, 3, 1, 1, 4, 3, 4, 2, 1, 3, 4, 3, 5, 5, 3, 4, 2, 2, 4, 5, 5, 4, 3, 4, 4, 1, 2, 5, 4, 3, 2, 2, 4, 3, 4, 5, 5, 1, 3, 5, 5, 4, 4, 3, 3, 3, 4, 3, 1, 1, 2, 1, 3, 5, 3, 3, 2, 3, 2, 1, 5, 1, 1, 3, 3, 3, 3, 4, 2, 1, 3, 1, 4, 1, 3, 3, 3, 2, 4, 4, 5, 1, 5, 3, 4, 4, 2, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 2, 4, 3, 4, 2, 2, 5, 5, 4, 3, 4, 3, 1, 2, 3, 1, 3, 3, 4, 3, 1, 4, 2, 1, 1, 4, 1, 5, 3, 4, 3, 4, 4, 5, 3, 1, 4, 2, 4, 3, 5, 3, 1, 5, 4, 4, 4, 1, 2, 3, 4, 3, 2, 3, 4, 4, 3, 1, 2, 3, 3, 4, 5, 3, 4, 5, 3, 3, 4, 3, 2, 4, 4, 3, 2, 5, 3, 1, 1, 2, 4, 5, 3, 2, 3, 1, 5, 5, 3, 1, 3, 1, 3, 3, 1, 3, 2, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 2, 4, 3, 4, 1, 3, 2, 4, 1, 2, 3, 2, 3, 1, 4, 1, 4, 3, 2, 2, 5, 4, 2, 2, 3, 2, 1, 4, 3, 2, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 5, 3, 1, 5, 3, 3, 2, 3, 4, 3, 4, 5, 3, 4, 3, 4, 1, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 1, 4, 4, 2, 5, 3, 2, 3, 3, 1, 3, 2, 3, 2, 4, 1, 3, 4, 4, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 3, 5, 4, 4, 2, 3, 3, 2, 4, 1, 4, 1, 5, 5, 1, 3, 5, 3, 3, 1, 2, 3, 2, 4, 1, 4, 3, 1, 3, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 2, 1, 1, 3, 3, 1, 1, 5, 3, 3, 2, 3, 4, 5, 3, 2, 3, 2, 5, 5, 4, 4, 3, 5, 2, 3, 1, 3, 3, 3, 4, 4, 4, 5, 1, 2, 5, 2, 4, 3, 5, 3, 3, 2, 3, 2, 2, 3, 1, 4, 2, 2, 1, 1, 4, 3, 4, 1, 2, 1, 3, 3, 4, 4, 3, 3, 5, 4, 1, 3, 3, 2, 5, 2, 2, 4, 3, 4, 2, 3, 3, 4, 4, 1, 3, 3, 3, 4, 2, 2, 5, 1, 3, 1, 3, 3, 2, 3, 1, 3, 4, 4, 4, 4, 4, 2, 3, 4, 2, 3, 4, 4, 2, 4, 3, 3, 1, 3, 1, 4, 2, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 2, 4, 3, 3, 4, 1, 4, 4, 4, 5, 3, 1, 1, 4, 3, 3, 3, 3, 5, 2, 4, 3, 5, 3, 2, 2, 1, 4, 3, 3, 2, 2, 4, 2, 3, 3, 1, 5, 5, 3, 3, 2, 2, 3, 4, 1, 5, 4, 3, 2, 4, 1, 1, 5, 1, 3, 3, 3, 2, 2, 3, 1, 4, 3, 3, 3, 4, 1, 3, 3, 2, 4, 3, 2, 2, 1, 2, 4, 4, 4, 1, 3, 2, 4, 2, 4, 1, 5, 5, 5, 1, 3, 5, 1, 4, 4, 2, 4, 5, 3, 5, 2, 3, 2, 3, 4, 2, 3, 4, 1, 1, 4, 3, 5, 2, 2, 5, 1, 4, 4, 4, 2, 2, 3, 4, 2, 3, 2, 4, 5, 3, 2, 3, 3, 5, 2, 4, 2, 5, 3, 5, 5, 4, 2, 1, 3, 5, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 2, 3, 4, 4, 5, 3, 4, 2, 4, 3, 2, 2, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 3, 4, 2, 2, 1, 2, 1, 4, 2, 3, 4, 2, 5, 4, 5, 4, 2, 4, 3, 1, 1, 2, 4, 3, 4, 3, 5, 5, 2, 4, 4, 4, 3, 4, 1, 4, 5, 2, 3, 2, 4, 5, 4, 4, 4, 2, 2, 3, 2, 4, 3, 1, 3, 3, 3, 4, 5, 3, 4, 2, 4, 3, 5, 3, 3, 4, 2, 4, 2, 3, 4, 3, 1, 5, 3, 5, 1, 3, 4, 2, 5, 4, 3, 4, 3, 3, 2, 3, 5, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 5, 3, 5, 2, 4, 4, 4, 4, 3, 3, 5, 3, 1, 3, 1, 4, 4, 4, 3, 4, 3, 1, 4, 4, 2, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 2, 3, 4, 1, 3, 1, 4, 4, 3, 1, 3, 1, 4, 2, 1, 4, 4, 1, 2, 3, 3, 2, 1, 3, 3, 1, 2, 4, 1, 5, 3, 1, 4, 3, 2, 1, 3, 5, 3, 4, 3, 2, 3, 4, 1, 2, 3, 3, 3, 4, 3, 3, 3, 1, 2, 1, 4, 1, 2, 3, 4, 4, 2, 3, 2, 2, 4, 1, 3, 2, 2, 3, 3, 3, 1, 5, 1, 2, 4, 2, 3, 3, 2, 3, 1, 4, 2, 3, 5, 3, 1, 2, 1, 4, 1, 2, 5, 3, 4, 5, 2, 1, 2, 3, 4, 4, 1, 3, 3, 3, 4, 3, 1, 4, 1, 3, 3, 4, 4, 3, 3, 2, 3, 4, 5, 4, 4, 2, 1, 2, 3, 3, 4, 2, 4, 3, 3, 4, 2, 1, 4, 2, 3, 1, 5, 3, 3, 5, 3, 5, 3, 4, 5, 4, 3, 3, 5, 4, 1, 5, 3, 4, 5, 5, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 5, 3, 3, 4, 2, 4, 2, 3, 4, 4, 2, 3, 4, 1, 4, 1, 2, 3, 2, 3, 3, 3, 5, 1, 3, 4, 3, 4, 2, 2, 4, 4, 1, 3, 4, 2, 1, 3, 4, 1, 3, 3, 3, 3, 3, 3, 5, 3, 1, 4, 2, 4, 4, 5, 3, 2, 4, 2, 4, 3, 3, 3, 5, 5, 3, 4, 4, 3, 3, 3, 3, 3, 5, 1, 3, 4], "217": [3, 3, 2, 5, 4, 3, 4, 5, 5, 5, 3, 3, 3], "2455": [4, 5, 3, 3, 5, 3, 5, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 3, 5, 5, 3, 5, 3, 4, 1, 5, 1, 1, 1, 1, 1, 2, 2, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 1, 3, 1, 3, 5, 1, 3, 5, 4, 5, 4, 2, 1, 2, 5, 3, 2, 3, 3, 5, 3, 1, 5, 1, 5, 3, 1, 2, 1, 3, 1, 5, 3, 2, 2, 2, 3, 2, 4, 5, 5, 5, 2, 2, 5, 1, 1, 4, 2, 3, 1, 1, 4, 1, 4, 1, 2, 3, 1, 3, 3, 1, 1, 3, 3, 1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 3, 2, 1, 1, 2, 3, 1, 1, 2, 3, 2, 4, 2, 1, 1, 5, 1, 2, 2, 5, 2, 3, 4, 1, 4, 2, 1, 1, 5, 4, 3, 5, 1, 1, 1, 3, 5, 5, 3, 5, 1, 3, 3, 3, 3, 2, 1, 2, 2, 2, 1, 5, 3, 4, 1], "5796": [5, 4, 4, 4, 5, 4, 1, 3, 5, 2, 4, 4], "4574": [1, 5, 5, 4, 4, 3, 3, 5, 4, 5, 4, 5, 3, 3, 3, 4, 5, 2, 5, 3, 5, 3, 5, 4, 3, 4, 5, 1, 4, 4, 4, 4, 1, 4, 5, 3, 2, 4, 1, 4], "5364": [3, 3, 3, 5, 3, 4, 4, 3, 3, 5, 3, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 5, 3, 2, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 3, 2, 4, 2, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 4, 5, 3, 5, 3, 5, 2, 3, 4, 4, 5, 5, 5, 4, 4, 2, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 2, 2, 4, 3, 3, 3, 5, 3, 5, 3, 5, 5, 5, 2, 3, 5, 4, 3, 5, 5, 3, 3, 5, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 2, 4, 5, 5, 3, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 3, 3, 3, 4, 4, 4, 2, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 5, 2, 5, 3, 5, 3, 4, 5, 4, 5, 4, 3, 3, 5, 4, 2, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 3, 5, 2, 5, 3, 5, 2, 2, 4, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 2, 5, 1, 5, 4, 3, 4, 5, 5, 5, 3, 4, 2, 4, 4, 3, 4, 2, 4, 5, 2, 3, 2, 3, 2, 5, 4, 1, 5, 2, 5, 4, 4, 2, 2, 3, 4, 5, 5, 5, 4, 3, 3, 4, 3, 3, 4, 5, 5, 5, 3], "4768": [5, 4, 5, 4, 4, 5, 5, 1, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 3, 5, 3, 4, 4, 4, 5, 5, 3, 4, 4, 2, 5, 5, 2, 3, 5, 4, 5, 2, 5, 4, 5, 3, 4, 5, 4, 2, 4, 4, 4, 5, 5], "1439": [4, 3, 5, 4, 3, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 2, 1, 5, 3, 4, 3, 5], "3830": [5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 5, 2, 1, 4, 5, 4, 5, 5, 5, 2, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4], "4777": [5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 4, 3, 2, 4, 4, 2, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 4], "2579": [5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 3, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 2, 1, 4, 4, 4, 4, 3, 3, 2, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5], "1658": [4, 4, 4, 4, 3, 5, 2, 4, 3, 3, 4, 4, 2, 4, 3, 2, 4, 5, 4, 4, 4, 4, 2, 1, 2, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 2, 5, 3, 2, 2, 2, 5, 4, 2, 3, 3, 4, 4, 2, 4, 4, 2, 4, 4, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 2, 4, 1, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 1, 4, 5, 3, 3, 4, 3, 2, 2, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 3, 2, 2, 2, 2, 5, 3, 4, 3, 5, 4, 1, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 2, 2, 4, 4, 3, 4, 3, 4, 4, 2, 2, 2, 3, 3, 2, 4, 5, 3, 3, 3, 4, 2, 4, 3, 4, 4, 2, 3, 4, 2, 3, 4, 3, 2, 4, 3, 3, 4, 1, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 3, 4, 2, 4, 2, 2, 4, 3, 4, 5, 3, 1, 3, 2, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 5, 4, 3, 5, 4, 2, 2, 4, 3, 4, 4, 4, 4, 1, 3, 4, 4, 5, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 2, 4, 4, 3, 5, 5, 3, 3, 3], "4482": [1, 5, 4, 4, 4, 3, 2, 4, 4, 5, 1, 4, 5, 5, 4, 4, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 2, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 3, 3, 2, 5, 3, 4, 5, 4, 3, 4, 5, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 1, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 2, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 2, 4, 5, 4, 4, 1, 4, 4, 3, 4, 5, 2, 5, 4, 1, 4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 4, 3, 3, 5, 3, 3, 4, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 1, 4, 3, 4, 4, 2, 3, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 1, 3, 5, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 5, 4, 4, 2, 3, 4, 5, 4, 4, 1, 4, 1, 3, 3, 5, 1, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 3, 5, 4, 3, 4, 4, 3, 5, 4, 4, 2, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 3, 2, 2, 2, 5, 4, 5, 4, 4, 3, 4, 4, 4, 1, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 1, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 5, 4, 5, 3, 2, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 3, 3, 1, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 2, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 1, 4, 2, 4, 1, 4, 4, 4, 4, 5, 4, 3, 1, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 2, 4, 5, 3, 3, 4, 3, 4, 1, 1, 5, 5, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 2, 2, 4, 2, 4, 3, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4], "4795": [4, 4, 2, 5, 4, 5, 4, 4, 5, 4, 5, 2, 4, 3, 5, 4, 3, 4, 5, 3, 2, 5, 4, 5, 5, 4, 5, 4, 2, 4, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 3, 4, 5, 2, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 5, 4, 5, 3, 5, 4, 5, 3, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4], "2010": [3, 2, 1, 2, 1, 1, 2, 2, 4, 1, 2, 1, 3, 4, 3, 1, 3, 2, 3, 3, 4, 5, 2, 4, 4, 4, 3, 2, 1, 4, 4, 3, 4, 4, 3, 5, 4, 1, 1, 3, 3, 2, 2, 3, 3, 3, 5, 3, 4, 3, 1, 1, 3, 1, 4, 1, 3, 2, 2, 4, 1, 2, 5, 1, 2, 2, 2, 1, 3, 1, 1, 2, 2, 2, 3, 3, 1, 4, 1, 4, 2, 1, 1, 3, 5, 1, 3, 2, 3, 1, 1, 4, 2, 4, 3, 4, 2, 2, 3, 5, 1, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 4, 1, 2, 2, 2, 1, 3, 2, 4, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 4, 2, 1, 2, 2, 3, 2, 3, 1, 1, 4, 3, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 3, 1, 1, 4, 1, 3, 1, 1, 5, 1, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 1, 1, 1, 2, 3, 2, 2, 4, 5, 3, 3, 3, 2, 3, 2, 1, 4, 2, 4, 4, 4, 2, 4, 1, 4, 1, 1, 2, 1, 4, 2, 3, 3, 3, 1, 2, 3, 3, 2, 1, 1, 4, 3, 3, 1, 3, 1, 3, 2, 2, 1, 1, 1, 3, 1, 1, 3, 2, 3, 5, 2, 5, 3, 3, 2, 4, 2, 1, 1, 3, 1, 1, 3, 3, 2, 3, 2, 1, 1, 2, 2, 4, 3, 1, 3, 1, 1, 1, 3, 3, 1, 2, 3, 3, 4, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 5, 3, 1, 4, 2, 4, 2, 3, 2, 1, 2, 2, 1, 4, 1, 1, 1, 4, 1, 2, 3, 3, 4, 3, 1, 1, 2, 4, 1, 3, 1, 3, 1, 4, 4, 3, 1, 3, 2, 3, 4, 2, 1, 3, 2, 1, 1, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 1, 1, 2, 3, 5, 4, 3, 3, 1, 3, 3, 1, 4, 3, 1, 3, 3, 2, 4, 3, 2, 4, 3, 1, 1, 1, 3, 1, 4, 1, 3, 3, 1, 1, 3, 1, 3, 1, 4, 2, 3, 1, 3, 3, 1, 1, 3, 3, 4, 1, 1, 3, 2, 1, 3, 4, 2, 3, 3, 4, 4, 3, 1, 3, 3, 4, 5, 4, 3, 1, 3, 2, 2, 3, 2, 2, 1, 2, 3, 1, 1, 4, 4, 3, 1, 2, 2, 4, 5, 3, 3, 3, 2, 2, 3, 2, 3, 3, 2, 1, 3, 2, 3, 5, 2, 1, 3, 1, 2, 3, 2, 3, 3, 2, 4, 1, 5, 2, 3, 2, 1, 2, 1, 3, 3, 2, 1, 4, 3, 2, 5, 3, 5, 2, 5, 3, 3, 2, 1, 4, 4, 3, 4, 4, 2, 4, 3, 2, 4, 1, 3, 4, 1, 2, 1, 2, 3, 1, 1, 3, 3, 4, 3, 5, 2, 5, 1, 3, 3, 2, 3, 3, 4, 1, 4, 3, 2, 3, 3, 1, 3, 1, 2, 3, 3, 2, 4, 3, 1, 3, 4, 4, 2], "331": [4, 4, 4, 5, 5, 4, 2, 4, 4, 3, 5, 5, 3, 3, 4, 3, 4, 5, 3, 4, 4, 2, 5, 4, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5, 2, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 1, 2, 4, 5, 3, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 1, 5, 2, 4, 4, 4, 2, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 4, 3, 3, 5, 4, 1, 4, 5, 5, 4, 3, 4, 3, 5, 2, 2, 5, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 5, 4, 5, 5, 4, 2, 5, 3, 4, 4, 2, 3, 3, 2, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 2, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 3, 2, 3, 4, 5, 5, 3, 4, 5, 2, 4, 4, 4, 3, 5, 1, 1, 2, 5, 5, 5, 1, 4, 5, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 3, 5, 2, 3, 2, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 2, 3, 3, 4, 2, 5, 4, 3, 5, 5, 4, 4, 4, 4, 1, 3, 4, 2, 5, 5, 4, 4, 2, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 3, 1, 4, 4, 2, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 3, 3, 2, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 1, 3, 4, 4, 2, 5, 4, 2, 5, 4, 3, 2, 3, 5, 5, 1, 5, 3, 5, 3, 4, 3, 5, 1, 3, 4, 3, 4, 2, 5, 4, 5, 3, 5, 4, 5, 4, 4, 2, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 1, 3, 3, 5, 5, 5, 5, 5, 5, 4, 2, 3, 4, 5, 4, 4, 4, 2, 5, 5, 5, 2, 3, 3, 4, 4, 4, 3, 4, 5, 3, 5, 3, 4, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 2, 2], "2827": [4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 1, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3], "5967": [4, 5, 3, 4, 4, 4], "1169": [2, 2, 3, 2, 4, 1, 1, 2, 4, 1, 4, 2, 4, 2, 2, 5, 2, 4, 3, 2, 4, 1, 2, 4, 4, 2, 4, 3, 3, 4, 1, 2, 5, 1, 2, 2, 2, 3, 4, 2, 5, 3, 4, 4, 3, 5, 4, 3, 5, 4, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 4, 2, 4, 4, 2, 4, 5, 2, 2, 1, 5, 5, 3, 2, 2, 4, 2, 4, 3, 3, 2, 3, 2, 1, 5, 4, 2, 3, 2, 2, 1, 2, 1, 2, 2, 5, 1, 3, 3, 2, 1, 4, 2, 2, 4, 2, 1, 2, 1, 2, 5, 4, 3, 4, 4, 2], "5614": [3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 3, 2, 4, 5, 3, 4, 4, 3, 3, 2, 2, 4, 4, 3, 5, 5, 4, 4, 2, 4, 3, 3, 5, 3, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 5, 5, 5, 5, 3, 3, 3, 2, 3, 4, 3, 1, 3, 2, 2, 4, 4, 5, 2, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 2, 3, 5, 4, 4, 2, 2, 5, 2, 5, 4, 3, 3, 3, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 3, 1, 2, 3, 3, 4, 4, 2, 5, 5, 3, 4, 2, 4, 3, 2, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 3, 2, 4, 4, 4, 2, 3, 2, 1, 5, 4, 4, 3, 2, 3, 4, 5, 5, 5, 2, 4, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 3, 2, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 2, 4, 5, 5, 2, 3, 5, 5, 3, 3, 4, 3, 2, 1, 3, 4, 2, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 3, 4, 2, 4, 3, 5, 5, 4, 3, 4, 2, 3, 2, 5, 3, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 2, 5, 5, 5, 4, 4, 4, 5, 2, 3, 2, 2, 2, 3, 4, 5, 4, 3, 2, 4, 5, 5, 4, 3, 5, 5, 2, 4, 4, 4, 5, 2, 2, 2, 3, 5, 2, 5, 5, 5, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 4, 5, 1, 4, 5, 3, 1, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 4, 4, 3, 5, 3, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 2, 5, 2, 5, 1, 5, 3, 5, 5, 3, 2, 4, 5, 3, 3, 3, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 3, 5, 4, 5, 5, 3, 2, 3, 3, 3, 5, 2, 3, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 3, 5, 2, 4, 3, 5, 2, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 3, 5, 4, 2, 3, 5, 3, 1, 4, 4, 3, 1, 3, 5, 3, 3, 2, 1, 5, 3, 3, 4, 3, 3, 4, 3, 2, 2, 4, 3, 4, 3, 5, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 5, 3, 5, 5, 3, 3, 3, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 5, 2, 5, 5, 5, 4, 2, 4, 5, 4, 2, 2, 4, 5, 3, 3, 3, 4, 4, 5, 2, 3, 5, 2, 2, 4, 5, 5, 3, 4, 5, 3, 2, 3, 5, 4, 3, 4, 1, 5, 4, 4, 4, 5, 4, 2, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 5, 5, 2, 5, 2, 4, 5, 3, 3, 3, 5, 4, 3, 4, 2, 5, 3, 3, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 1, 5, 2, 4, 4, 5, 5, 4, 3, 4, 3, 4, 2, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 3, 3, 1, 4, 5, 3, 2, 3, 5, 5, 5, 4, 5, 3, 2, 5], "4532": [4, 5, 3, 5, 5, 2, 5, 4, 2, 5, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 3, 3, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 2, 1, 4, 4], "11": [4, 3, 4, 1, 3, 2, 1, 3, 4, 3, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 3, 5, 4, 5, 4, 1, 1, 4, 5, 3, 5, 4, 4, 3, 4, 1, 4, 3, 4, 2, 3, 2, 1, 2, 5, 1, 3, 1, 4, 5, 1, 3, 4, 2, 2, 3, 3, 5, 5, 4, 5, 4, 2, 4, 5, 5, 3, 4, 3, 5, 1, 1, 5, 4, 5, 3, 1, 3, 4, 1, 4, 3, 4, 5, 5, 2, 5, 3, 5, 3, 1, 5, 3, 3, 4], "329": [4, 3, 4, 1, 2, 4, 4, 3, 3, 3, 4, 2, 4, 5, 3, 2, 2, 4, 3, 4, 3, 5, 1, 3, 1, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 1, 3, 2, 4, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 2, 4, 3, 3, 4, 1, 3, 4, 4, 4, 2, 3, 4, 1, 3, 2, 2, 2, 3, 4, 3, 1, 4, 3, 4, 3, 1, 1, 4, 4, 3, 2, 4, 4, 5, 1, 1, 2, 4, 1, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 1, 4, 4, 1, 1, 1, 4, 3, 3, 3, 3, 4, 2, 2, 2, 3, 2, 4, 4, 3, 2, 3, 1, 3, 3, 2, 3, 1, 3, 3, 3, 4, 5, 3, 2, 3, 2, 4, 4, 2, 4, 3, 3, 3, 3, 1, 1, 3, 3, 2, 3, 1, 4, 2, 2, 2, 3, 4, 2, 4, 3, 4, 4, 2, 2, 3, 3, 1, 4, 3, 2, 2, 5, 1, 4, 4, 1, 2, 2, 4, 1, 4, 1, 4, 3, 3, 3, 3, 4, 4, 3, 3, 1, 3, 2, 2, 1, 3, 3, 3, 3, 4, 3, 1, 2, 1, 3, 3, 4, 1, 2, 4, 1, 4, 1, 1, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 3, 1, 3, 3, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 2, 3, 3, 3, 3, 2, 1, 3, 5, 2, 4, 5, 2, 3, 2, 4, 4, 1, 3, 3, 1, 2, 1, 1, 3, 3, 3, 1, 5, 3, 3, 2, 5, 1, 3, 3, 2, 2, 2, 2, 1, 3, 1, 1, 3, 1, 1, 4, 4, 4, 1, 4, 3, 3, 2, 1, 3, 1, 4, 3, 2, 2, 3, 4, 4, 2, 4, 1, 3, 3, 5, 3, 3, 2, 4, 2, 4, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 4, 2, 4, 4, 3, 4, 1, 2, 2, 4, 2, 3, 4, 3, 2, 3, 5, 4, 2, 1, 4, 2, 3, 4, 5, 4, 4, 5, 1, 3, 3, 3, 3, 4, 4, 4, 1, 3, 3, 2, 1, 2, 3, 3, 2, 4, 3, 4, 3, 2, 2, 2, 1, 3, 1, 4, 2, 2, 3, 4, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 1, 3, 3, 3, 2, 3, 1, 5, 3, 1, 3, 3, 2, 4, 2, 1, 1, 4, 3, 3, 4, 1, 4, 3, 3, 4, 2, 3, 2, 3, 4, 2, 2, 4, 3, 4, 5, 1, 1, 2, 3, 3, 2, 5, 1, 4, 4, 1, 3, 4, 2, 3, 3, 3, 3, 1, 2, 3, 3, 1, 3, 3, 2, 2, 4, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 1, 4, 1, 4, 2, 4, 4, 4, 2, 4, 4, 2, 1, 5, 4, 1, 1, 2, 4, 3, 5, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 1, 3, 1, 3, 5, 4, 2, 4, 2, 5, 1, 3, 2, 3, 1, 3, 3, 2, 4, 1, 3, 4, 4, 4, 4, 3, 3, 3, 2, 1, 3, 2, 2, 5, 4, 4, 2, 2, 2, 1, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 4, 2, 4, 2, 4, 4, 3, 1, 4, 3, 4, 2, 1, 4, 2, 3, 4, 5, 4, 3, 2, 3, 4, 1, 4], "5085": [4, 2, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 2, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 2, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 2, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 3, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 1, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 2, 5, 3, 3], "4799": [3, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 4, 5, 3, 5, 4, 5, 2, 3, 4, 3, 4, 4, 5, 3, 3, 3, 3], "4039": [4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 2, 5, 5], "3710": [4, 4, 4, 5, 1, 5, 4, 3, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 3, 5, 4, 3, 4, 5, 3, 3, 4, 1, 4, 4, 1, 4, 4, 4, 4, 2, 5, 4, 5, 5, 4, 3, 5, 3, 4, 4, 5], "3994": [5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 3, 4, 5, 4, 4, 4, 2, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 2, 5, 3, 5, 4, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 2, 5, 5, 5, 3, 3, 5, 1, 4, 2, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 5, 4, 3, 5, 3, 4, 1, 5], "1725": [5, 4, 3, 5, 4, 3, 5, 3, 4, 4, 4, 4, 5, 5, 1, 3, 5], "4906": [3, 5, 5, 4, 4, 3, 5, 2, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 3, 4, 5, 5, 5, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 2, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 3, 3, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 2, 5, 4, 4, 3, 3, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 2, 5, 5, 3, 5, 5, 4, 3, 3, 4, 3, 3, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 2, 4, 4, 4, 5, 3, 4, 2, 4, 2, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 3, 5], "4266": [2, 3, 3, 3, 5, 4, 3, 2, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4], "5334": [1, 1, 1, 1, 4, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1], "1398": [3, 3, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4], "5448": [4, 3, 2, 4, 2, 5, 2, 2, 5, 3, 4, 3, 3, 4, 4, 3, 4, 3, 1, 4, 4, 3, 3, 2, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 3, 2, 4, 1, 5, 5, 5, 4, 4, 5, 2, 3, 5, 3, 4, 4, 3, 3, 4, 3, 5, 2, 3, 3, 1, 3, 3, 4, 1, 5, 3, 3, 4, 4, 5, 3, 3, 2, 3, 1, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 5, 5, 4, 3, 2, 5, 2, 3, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 5, 3, 3, 3, 1, 1, 3, 4, 1, 3, 5, 3, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 4, 3, 5, 3, 4, 4, 3, 2, 4, 3, 4, 3, 5, 4, 3, 4, 3, 5, 4, 3, 4, 2, 3, 2, 4, 5, 4, 3, 3, 3, 4, 2, 2, 3, 2, 2, 4, 3, 3, 3, 4, 1, 1, 4, 2, 2, 5, 4, 5, 3, 3, 4, 5, 3, 2, 5, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 5, 2, 4, 4, 4, 4, 4, 1, 3, 5, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 2, 1, 3, 5, 3, 2, 4, 4, 1, 3, 2, 2, 4, 3, 4, 2, 4, 2, 4, 4, 2, 5, 4, 3, 3, 5, 5, 2, 3, 5, 5, 5, 3, 2, 5, 2, 1, 3, 4, 3, 4, 1, 1, 2, 2, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 4, 2, 4, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 4, 2, 2, 2, 3, 3, 4, 3, 3, 3, 4, 4, 1, 4, 5, 3, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 3], "1795": [3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 2, 3, 4, 5, 4, 5, 5], "847": [5, 3, 3, 3, 5, 3, 4, 2, 5, 2, 2, 5, 4, 3, 3, 3, 5, 3, 3, 1, 3, 3, 4, 1, 5, 3, 5, 3, 4, 3, 3, 5, 5, 4, 5, 3, 3, 1, 4, 4, 3, 5, 3, 5, 3, 5, 1, 3, 5, 5, 5, 5], "5120": [3, 5, 3, 2, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 5, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 4, 2, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 3, 4, 2, 3, 3, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 2, 5, 4, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 1, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 2, 4, 2, 5, 4, 5, 3, 3, 4, 4, 4, 4, 2, 5, 5, 4, 4, 3, 4, 3, 3, 3, 5, 3, 4, 4, 2, 3, 3, 4, 5, 3, 3, 3, 3, 5, 4, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4], "4981": [4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 2, 5, 4, 3, 4, 2, 5, 3, 3, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 2, 2, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 5, 2, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 2, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 5, 4, 5, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 2, 5, 5, 5, 5, 4, 5, 4, 4, 2, 3, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 2, 4, 5, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 1, 5, 4, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 3, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4], "5537": [5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 2, 5, 2, 5, 5, 3, 4, 5, 2, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 3, 4], "848": [4, 3, 5, 2, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 1, 4, 5, 5, 1, 5, 4, 5, 5, 1, 2, 5, 5, 5, 4, 5], "5299": [1, 3, 2, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 3, 1, 1, 3, 3, 4, 3, 2, 4, 4, 1, 3, 4, 2, 1, 3, 4, 1, 3, 4, 1, 4, 3, 1, 3, 5, 4, 2, 4, 4, 2, 4, 3, 3, 3, 1, 1, 4, 5, 4, 2], "2817": [5, 5, 5, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 4, 2, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4], "2379": [5, 4, 4, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5], "2439": [4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 2, 3, 3, 2, 2, 4, 2, 1, 4, 3, 2, 4, 3, 3, 5, 3, 3, 2, 2, 4, 3, 2, 3, 5, 5, 2, 3, 1, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 2, 2, 2, 5, 3, 2, 1, 2, 1, 3, 1, 1, 3, 2, 4, 1, 2, 3, 5, 2, 1, 2, 4, 3, 2, 2, 2, 2], "1381": [3, 4, 5, 2, 5, 5, 5, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 2, 4, 2, 2, 3, 3, 2, 4, 5, 5, 5, 5, 3, 3, 3], "76": [5, 4, 5, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 2, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4], "3655": [2, 3, 4, 5, 5, 2, 3, 3, 3, 4, 5, 5, 4, 2, 3, 5, 1, 5, 3, 5, 4, 4, 5, 4, 2, 3, 5, 4], "5695": [4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 4, 3, 4, 2, 3, 3, 2, 3, 2, 3, 4, 3, 3, 4, 4], "881": [3, 2, 4, 2, 3, 5, 4, 3, 1, 3, 4, 3, 5, 5, 3, 4, 4, 3, 2, 4, 4, 3, 2, 3, 5, 3, 5, 5, 4, 4, 3, 2, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 1, 4, 4, 2, 5, 2, 1, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 2, 3, 3, 2, 4, 5, 2, 3, 4, 4, 3, 4, 4, 1, 5, 3, 3, 4, 4, 2, 5, 3, 2, 5, 3, 2, 2, 4, 3, 3, 3, 2, 5, 2, 4, 2, 1, 3, 2, 2, 4, 4, 4, 2, 2, 2, 3, 4, 2, 2, 3, 2, 2, 3, 3, 1, 3, 4, 4, 1, 3, 2, 2, 4, 3, 2, 4, 2, 2, 1, 4, 3, 1, 4, 2, 3, 4, 4, 5, 2, 3, 4, 2, 4, 2, 2, 1, 4, 4, 2, 2, 3, 2, 2, 1, 1, 1, 2, 2, 4, 2, 2, 3, 3, 3, 4, 3, 2, 3, 2, 1, 2, 4, 1, 1, 4, 4, 2, 4, 4, 2, 3, 2, 2, 1, 3, 4, 3, 3, 2, 5, 5, 3, 3, 2, 1, 5, 2, 3, 3, 3, 2, 3, 2, 1, 4, 1, 3, 2, 3, 3, 1, 1, 4, 3, 1, 2, 5, 1, 5, 5, 2, 1, 3, 3, 1, 2, 2, 4, 3, 3, 1, 3, 2, 2, 1, 3, 2, 4, 2, 1, 3, 3, 3, 3, 5, 4, 4, 1, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 3, 3, 1, 4, 4, 4, 3, 4, 2, 4, 3, 2, 1, 3, 1, 4, 3, 2, 3, 4, 3, 5, 3, 3, 3, 3, 5, 4, 3, 4, 3, 1, 5, 3, 3, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4, 3, 2, 2, 2, 4, 4, 2, 4, 3, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 2, 2, 5, 4, 3, 2, 4, 3, 3, 2, 3, 1, 4, 3, 3, 2, 2, 3, 5, 3, 2, 5, 4, 4, 4, 2, 5, 4, 4, 3, 3, 2, 4, 3, 2, 1, 5, 3, 4, 3, 3, 2, 4, 5, 3, 3, 3, 1, 1, 1, 2, 3, 2, 5, 2, 5, 3, 5, 2, 5, 4, 4, 5, 3, 3, 1, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 2, 3, 3, 3, 2, 1, 1, 3, 2, 2, 1, 2, 5, 4, 1, 3, 1, 4, 3, 3, 4, 4, 1, 3, 3, 1, 5, 1, 4, 3, 2, 3, 4, 4, 1, 2, 5, 5, 3, 5, 3, 4, 2, 3, 2, 1, 4, 2, 3, 4, 1, 3, 3, 4, 1, 3, 3, 2, 4, 1, 1, 4, 5, 3, 4, 3, 2, 5, 3, 3, 3, 1, 5, 2, 5, 3, 4, 2, 3, 5, 4, 1, 3, 2, 5, 3, 3, 4, 3, 3, 2, 3, 2, 3, 2, 2, 5, 2, 3, 2, 2, 4, 3, 4, 3, 5, 2, 4, 3, 2, 2, 3, 2, 2, 4, 3, 3, 1, 4, 3, 2, 3, 5, 2, 3, 5, 3, 2, 3, 2, 2, 3, 3, 3, 4, 2, 2, 2, 3, 2, 3, 1, 4, 3, 3, 3, 3, 1, 3, 4, 2, 4, 2, 4, 1, 3, 3, 1, 2, 4, 3, 5, 4, 3, 4, 2, 5, 4, 5, 2, 4, 3, 2, 2, 4, 3, 4, 5, 3, 4, 3, 3, 2, 3, 1, 3, 3, 4, 2, 4, 3, 5, 4, 2, 2, 3, 2, 2, 4, 2, 3, 2, 3, 2, 2, 3, 1, 5, 2, 1, 2, 4, 3, 3, 4, 5, 4, 3, 3, 4, 2, 4, 2, 1, 4, 3, 5, 3, 3, 1, 1, 2, 4, 5, 5, 3, 3, 4, 4, 5, 4, 5, 2, 4, 4, 1, 1, 4, 2, 5, 2, 5, 4, 4, 3, 4, 3, 5, 4, 3, 3, 5, 5, 5, 5, 3, 4, 2, 3, 1, 2, 3, 4, 5, 4, 3, 3, 5, 3, 3, 3, 4, 1, 1, 3, 3, 4, 2, 1, 2, 3, 1, 3, 3, 3, 3, 4, 1, 2, 4, 2, 3, 4, 2, 5, 4, 4, 3, 3, 5, 4, 3], "3552": [3, 3, 4, 5, 5], "1638": [4, 3, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5], "603": [3, 4, 3, 2, 5, 3, 4, 5, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 4, 4], "2983": [2, 5, 5, 5, 3, 3, 5, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5], "3878": [4, 3, 1, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 2, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 5, 3, 3, 5, 5, 4, 4, 1, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 2, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 1, 4, 4, 3, 3, 4, 4, 2, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 1, 5, 2, 5, 3, 4, 5, 4, 5, 3, 1, 4, 5, 4, 5, 2, 3, 5, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 2, 4, 5, 5, 1, 3, 1, 5, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 2, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 4, 4, 4, 1, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 3, 5, 5, 3, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 1, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 1, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 2, 4, 5, 5, 3, 3, 2, 4, 5, 4, 4, 2, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 1, 4, 3, 4, 3, 4, 5, 5, 4, 5, 5, 4, 2, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 2, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 3, 2, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 4], "5423": [3, 5, 4, 3, 5, 4, 3, 4, 4, 1, 4, 5, 2, 4, 4, 5, 4, 4, 2, 2, 3, 5, 2, 5, 5, 5, 3, 5, 5, 2, 5, 2, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 3, 5, 3, 5, 1, 2, 4, 2, 3, 5, 5, 4, 5, 5, 5, 4, 2, 5, 5, 5, 5, 4, 5, 5, 3, 1, 4, 5, 5, 5, 3, 5, 5], "3908": [4, 2, 3, 5, 4, 4, 5, 5, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 5, 2, 5, 5, 4, 4, 3, 3, 5, 4, 5, 4, 2, 5, 4, 3, 3, 4, 3, 3, 5, 1, 2, 5, 4, 3, 3, 3, 5, 5, 3, 3, 4, 2, 2, 3, 3, 5, 4, 3, 2, 3, 4, 5, 4, 3, 2, 4, 5, 3, 5, 2, 5, 5, 4, 5, 5, 3, 5, 5, 5, 1, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 1, 2, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 2, 2, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 1, 5, 5, 3, 5, 4], "2030": [4, 5, 4, 3, 1, 5, 3, 5, 3, 5, 4, 3, 5, 5, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 5, 3, 3, 4, 4, 5, 2, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 2, 3, 5, 5, 4, 3, 3, 5, 1, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 1, 5, 3, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 1, 3, 3, 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 1, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 2, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 1, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 4, 2, 5, 3, 2, 4, 5, 5, 3, 2, 4, 5, 4, 2, 3, 4, 2, 5, 4, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 1, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 2, 3, 3, 4, 3, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 5, 3, 4, 3, 3, 4, 5, 4, 4, 5, 5, 2, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 3, 3, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 3, 5, 4, 3, 5, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 3, 3, 3, 5, 2, 3, 3, 5, 4, 4, 5, 3, 4, 3, 3, 4, 5, 5, 5, 3, 5, 4, 5, 4, 4, 1, 4, 2, 5, 2, 5, 5, 5, 5, 5, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 2, 4, 5], "448": [4, 2, 4, 3, 4], "578": [5, 3, 4, 4, 3, 5, 5, 5, 4, 5, 3, 5, 2, 4, 4, 5, 4], "6004": [2, 3, 2, 4, 4, 3, 3, 2, 5, 3, 2, 5, 3, 4, 2, 5, 3, 3, 5, 4, 4, 4, 3, 5, 3, 2, 5, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 4, 4, 3, 2, 4, 5, 1, 4, 3, 3, 3, 3, 3], "5750": [1, 1, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 3, 5, 3, 2, 3, 3, 5, 3, 4, 3, 4, 4, 4, 3, 1, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 2, 4, 3, 3, 4, 4, 2, 3, 5, 5, 4, 4, 4, 4, 3, 1, 3, 3, 3, 2, 4, 4, 4, 3, 3, 3, 5, 2, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 1, 3, 4, 4, 2, 3, 5, 3, 3, 4, 2], "4200": [4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 5, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5], "17": [5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 5, 2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 3, 4, 5, 4, 4, 2, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 2, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 2, 4, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5], "566": [3, 2, 2, 2, 2, 2, 3, 4, 2, 2, 3, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 4, 5, 3, 3, 4, 3, 5, 4, 2, 3, 3, 2, 3, 3, 3, 3, 1, 3, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 2, 4, 3, 2, 2, 3, 2, 3, 2, 2, 3, 1, 3, 2, 3, 1, 1, 2, 2, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2, 2, 5, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 2, 2, 2, 3, 5, 2, 2, 2, 1, 2, 3, 3, 2, 3, 3, 3, 2, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 4, 3, 4, 3, 1, 2, 3, 3, 2, 2, 3, 3, 2, 4, 4, 2, 3, 4, 2, 4, 4, 3, 2, 4, 3, 4, 2, 4, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 3, 4, 4, 4, 3, 4, 4, 2, 2, 4, 3, 3, 2, 3, 1, 2, 3, 2, 4, 3, 3, 3, 2, 4, 3, 1, 2, 3, 3, 2, 3, 3, 2, 1, 4, 2, 3, 2, 2, 2, 1, 3, 4, 3, 2, 3, 1, 2, 1, 4, 2, 3, 3, 2, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 5, 2, 3, 2, 3, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 4, 3, 4, 1, 3, 1, 2, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2, 5, 3, 2, 2, 2, 1, 4, 1, 2, 4, 4, 4, 4, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 2, 4, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 3, 3, 2, 4, 3, 2, 3, 2, 2, 3, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 4, 1, 3, 4, 2, 2, 3, 3, 2, 1, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 2, 2, 3, 1, 3, 2, 3, 3, 3, 3, 4, 5, 3, 1, 3, 3, 3, 2, 4, 2, 4, 2, 3, 3, 2, 4, 3, 2, 4, 4, 1, 3, 2, 2, 2, 3, 4, 3, 4, 2, 2, 3, 2], "3654": [4, 4, 4, 4, 1, 4, 4, 5, 3, 3, 2, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 5, 1, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 4, 4, 2, 4, 2, 3, 5, 3, 3, 2, 4, 1, 4, 5, 3, 2, 3, 1, 1, 4, 5, 3, 4, 3, 3, 5, 5, 3, 2, 5, 4, 3, 3, 4, 2, 1, 2, 5, 4, 3, 4, 3, 2, 2, 5, 4, 5, 3, 3, 4, 3, 4, 3, 2, 1, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 4, 3, 2, 2, 3, 4, 2, 2, 1, 4, 3, 4, 3, 2, 4, 4, 4, 3, 3, 2, 5, 3, 5, 5, 1, 4, 3, 4, 1, 2, 4, 1, 3, 5, 2, 4, 2, 2, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 1, 5, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 1, 4, 5, 2, 3, 2, 3, 4, 3, 4, 4], "5470": [4, 4, 2, 5, 4, 4, 4, 5, 5, 4, 2, 5, 5, 5, 3, 5, 3, 1, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 4, 4, 3, 5, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 3, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 3, 5, 4, 5], "4101": [4, 4, 5, 4, 3, 2, 4, 3, 5, 4, 3, 1, 4, 3, 2, 2, 5, 2, 3, 2, 4, 5, 2, 3, 5, 4, 4, 2, 5, 4, 2, 4, 4, 4, 3, 3, 5, 4, 1, 5, 1, 4, 4, 3, 4, 5, 3, 2, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 4, 3, 5, 4, 2, 3, 2, 3], "3343": [4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 2, 1, 3, 4, 4], "647": [3, 1, 4, 4, 4, 5, 4, 5, 5, 2, 2, 4, 1, 4, 4, 5, 2, 1, 3, 4, 1, 2, 1, 3, 1, 3, 4, 1, 2, 2, 1, 2, 2, 5, 4, 4, 3, 4, 1, 1, 1, 5, 1, 4, 4, 1, 5, 1, 1, 4, 2, 4, 2, 3, 3, 5, 3, 1, 1, 3, 1, 3, 2, 4, 2, 5, 3, 2, 2, 3, 3, 3, 1, 4, 1, 3, 4, 3, 2, 1, 3, 5, 2, 4, 4, 3, 3, 4, 3, 1, 2, 4, 3, 4, 2, 2, 4, 4, 4, 4, 2, 1, 2, 4, 4, 4, 4, 5, 4, 2, 3, 4, 4, 5, 5, 1, 5, 2, 4, 3, 4, 1, 3, 3, 1, 3, 4, 3, 2, 3, 4, 3, 2, 4, 5, 3, 3, 1, 4, 2, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 5, 3, 4, 1, 4, 5, 3, 3, 2, 2, 4, 4, 3, 5, 3, 3, 3, 1, 3, 4, 3, 1, 5, 2, 3, 3, 1, 3, 4, 4, 5, 5, 2], "1763": [4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 5, 3, 3, 4, 4, 3, 3, 3, 4], "492": [5, 5, 3, 4, 4, 2, 4, 5], "1817": [4, 5, 4, 5, 3, 2, 3, 3, 2, 2, 4, 5, 5, 3, 4, 2, 5, 4, 3, 2, 4, 3, 3, 2, 3, 5, 3, 2, 4, 4, 4, 4, 4, 4, 1, 4, 1, 4, 2, 4, 4, 5, 5, 2, 1, 3, 3, 5, 1, 2, 2, 5, 3, 2, 2, 5, 3, 4, 1, 1, 4, 4, 2, 4, 4, 4, 5, 3, 3, 3, 4], "268": [4, 4, 5, 4, 5, 4, 4, 1, 4, 3, 4, 2, 1, 5, 4, 5, 3, 4, 4, 2, 5, 5, 4, 5, 2, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 4, 1, 3, 2, 3, 2, 3, 1, 3, 3, 4, 4, 4, 2, 3, 3, 4, 3, 1, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 3, 3, 1, 5, 4, 4, 4, 5, 4, 4, 2, 3, 3, 1, 2, 3, 4, 3, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 1, 1, 4, 1, 3, 3, 4, 4, 2, 4, 4, 2, 4, 3, 1, 4, 4, 4, 4, 1, 3, 4, 2, 4, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 1, 4, 3, 5, 2, 4, 2, 1, 4, 2, 4, 3, 5, 2, 4, 5, 1, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 2, 2, 3, 3, 5, 3, 2, 4, 4, 4, 5, 4, 4, 4, 4], "1244": [4, 3, 3, 4, 3, 2, 4, 2, 1, 5, 3, 5, 5, 5, 4, 5, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 5, 3, 5, 4, 3, 3, 1, 3, 2, 3, 4, 3, 3, 3, 4, 2, 3, 2, 1, 2, 5, 3, 3, 3, 2, 2, 5, 3, 4, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 2, 4, 4, 4, 3, 3, 3, 5, 5, 4, 3, 3, 3, 4, 1, 4, 1, 5, 4, 3, 5, 4, 1, 2, 3, 2, 2, 3, 2, 4, 5, 5, 3, 5, 5, 2, 4, 3, 4, 3, 4, 5, 4, 5, 1, 1, 1, 4, 2, 3, 4, 3, 1, 4, 2, 3, 5, 5, 3, 3, 1, 4, 2, 2, 2, 4, 5, 2, 2, 3, 4, 2, 4, 2, 4, 3, 4, 4, 3, 3, 1, 3, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 3, 1, 2, 2, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 3, 3, 2, 3, 3, 4, 4, 2, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 1, 4, 2, 3, 5, 3, 5, 3, 5, 1, 5, 4, 4, 5, 4, 4, 2, 3, 1, 4, 5, 3, 3, 3, 1, 5, 3, 4, 5, 2, 2, 4, 3, 1, 3, 5, 2, 2, 5, 4, 2, 2, 4, 4, 5, 4, 3, 2, 4, 2, 1, 4, 2, 4, 4, 5, 3, 2, 4, 2, 3, 4, 3, 5, 3, 3, 2, 1, 1, 5, 2, 3, 5, 3, 2, 2, 3, 2, 5, 2, 2, 1, 4, 4, 3, 3, 4, 5, 4, 2, 1, 1, 3, 4, 4, 5, 2, 1, 4, 3, 1, 4, 4, 3, 3, 4, 5, 5, 5, 2, 4, 4, 5, 4, 3, 3, 4, 5, 2, 3, 3, 5, 5, 3, 5, 3, 2, 3, 2, 3, 2, 2, 3, 5, 2, 2, 2, 3, 4, 4, 2, 3, 2, 4, 1, 3, 5, 4, 3, 3, 3, 3, 3, 3, 1, 5, 4, 2, 5, 3, 4, 4, 4, 5, 4, 5, 2, 2, 4, 3, 4, 3, 5, 5, 5, 5, 5, 3, 2, 3, 3, 3, 5, 5, 5, 5, 5, 3, 2, 2, 3, 2, 3, 4, 4, 4, 4, 4, 5, 5, 2, 4, 5, 4, 3, 3, 4, 2, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 4, 1, 3], "134": [2, 2, 3, 3, 4, 2, 3, 3, 3, 2, 1, 5, 5, 4, 5, 4, 3, 3, 1, 1, 4, 1, 3, 2, 3, 4, 1, 1, 4, 2, 3, 2, 2, 1, 5, 1, 3, 3, 3, 1, 4, 4, 3, 2, 3, 3, 1, 4, 4, 3, 5, 4, 4, 1, 1, 2, 1, 3, 3, 3, 2, 2, 4, 1, 2, 3, 3, 5, 1, 1, 1, 1, 3, 2, 3, 5, 1, 1, 1, 2, 4, 1, 2, 1, 4, 5, 2, 1, 2, 1, 2, 2, 2, 1, 1, 3, 1, 3, 2, 3, 1, 2, 5, 5, 2, 4, 5, 2, 2, 1, 4, 1, 3, 2, 1, 4, 2, 2, 1], "1423": [4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5], "28": [2, 4, 4, 3, 2, 3, 3, 3, 5, 4, 3, 3, 5, 5, 5, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 2, 3, 5, 4, 4, 4, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 5, 4, 5, 3, 4, 2, 2, 5, 5, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 2, 3, 3, 4, 5], "4868": [3, 4, 3, 5, 4, 4, 4, 3, 5, 5, 3, 3, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 3, 3, 5, 1, 4, 1, 4, 4, 3, 5, 5, 5, 3, 5, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 2, 4, 3, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 5, 4, 4, 1, 3, 5, 2, 2, 2, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 5, 3, 4], "1523": [3, 5, 2, 4, 3, 3, 2, 5, 4, 5, 4, 3, 3, 4, 4, 3, 4, 2, 5, 3, 1, 4, 3, 4, 1, 5, 1, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 2, 3, 5, 3, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4], "4021": [5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 3, 5, 4, 3, 5, 4, 4, 5, 5, 3, 4, 1, 5, 5, 4, 5, 2, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 3, 5, 5, 3, 4, 5, 2, 1, 4, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 4, 5, 4, 4, 4, 2, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 3, 2, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 2, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 3, 5, 5, 3, 4, 3, 3, 5, 2, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 5, 5, 2, 5, 5, 4, 2, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 3, 4, 4, 2, 4, 5, 1, 5, 5, 3, 3, 3, 5, 3, 3, 5, 4, 3, 1, 1, 3, 2, 3, 4, 4, 5, 5, 3, 4, 1, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 1, 5, 5, 5, 4, 3, 4, 2, 3, 4, 5, 1, 1, 4, 3, 4, 4, 4, 1, 4, 5, 5, 4, 5, 3, 3, 5, 3, 4, 3, 4, 5, 5, 3, 1, 5, 4, 4, 3, 4, 1, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 2, 3, 5, 4, 3, 4, 5, 3, 1, 4, 4, 4, 1, 3, 3, 4, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 1, 5, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 5, 5, 3, 1, 5, 4, 5, 3, 5, 4, 4, 2, 3, 4, 3, 4, 3, 4, 3, 2, 4, 4, 2, 3, 5, 4, 3, 5, 4, 1, 3, 3, 3, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 1, 5, 2, 2, 2, 4, 5, 1, 1, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 4, 5, 3, 3, 4, 5, 4, 3, 5, 4, 4, 1, 3, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 5, 3, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 5, 3, 3, 1, 3, 3, 4, 5, 4, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 5, 4, 4, 4, 5, 1, 2, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 3, 2, 4, 5, 3, 5, 4, 3, 1, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 4, 3, 4, 4, 3, 1, 5, 3, 3, 4, 4, 3, 5, 2, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 1, 1, 3, 5, 3, 5, 3, 5, 1, 5, 5, 5, 4, 3, 4, 5, 5, 1, 3, 4, 2, 5, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 1, 5, 5, 5, 2, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4], "1517": [4, 3, 4, 5, 5, 3, 3, 4, 3, 5, 5, 5, 3, 5, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 3, 2, 3, 4, 3, 4, 5, 4, 5, 2, 4], "1589": [2, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 3, 3, 5, 5, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 2, 4, 4, 5, 3, 4, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5], "5129": [4, 4, 5, 5, 5, 2, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 4, 3, 3, 2, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 3, 3, 5, 4, 2, 4, 4, 5, 4, 5, 5, 3, 4, 4, 5, 3, 1, 4, 5, 4, 4, 4, 3, 4, 4, 4, 1, 5, 3, 4, 5, 5, 1, 3, 4, 4, 4, 4, 3, 2, 3, 5, 5, 2, 4, 3, 3, 2, 4, 4, 5, 3, 3, 5, 4, 5, 5], "4651": [3, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 1, 4, 4, 4, 4, 3, 3, 5, 4, 1, 4, 4, 4, 3, 3, 3], "4568": [3, 2, 4, 4, 3, 5, 3, 3, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 5, 4, 5, 3, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 2, 2, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 2, 4, 3, 5, 3, 4, 3, 3, 5, 3, 4, 3, 2, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 5, 4, 5, 3, 3, 5, 4, 2, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 5, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 5, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 3, 3, 5, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 2, 3, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 2, 5, 3, 5, 2, 4], "2592": [5, 4, 3, 3, 5, 4, 4, 3, 5, 3, 3, 3, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 2, 4, 3, 5, 4, 2, 4, 3, 5, 5, 4, 5, 5, 4, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 3, 2, 5, 5, 3, 2, 2, 3, 3, 5, 3, 5, 5, 3, 3, 4, 4, 5, 5, 5, 2, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 2, 2, 5, 2, 3, 4, 3, 3, 3, 4, 4, 5, 4, 2, 4, 4, 3, 2, 2, 4, 3, 4, 2, 3, 4, 2, 3, 3, 4, 5, 2, 3, 2, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 2, 4, 4, 3, 5, 4, 3, 3, 3, 2, 1, 2, 4, 4, 4, 3, 4, 3, 2, 4, 5, 4, 5, 3, 2, 5, 5, 3, 3, 3, 2, 4, 3, 4, 3, 3, 4, 2, 5, 2, 4, 4, 5, 3, 4, 5, 3, 5, 1, 2, 2, 4, 4, 3, 1, 2, 2, 4, 3, 5, 4, 4, 4, 2, 5, 4, 4, 4, 5, 5, 3, 2, 4, 5, 4, 4, 3, 1, 3, 2, 3, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 5, 4, 2, 2, 4, 2, 3, 3, 4, 4, 5, 4, 3, 5, 4, 3, 5, 2, 3, 4, 4, 5, 5, 4, 5, 3, 2, 3, 4, 3, 4, 2, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 4, 5, 2, 3, 3, 4, 4, 3, 4, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 2, 5, 3, 4, 5, 5, 4, 5, 4, 2, 5, 4, 5, 3, 3, 4, 2, 3, 3, 4, 3, 5, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 2, 4, 3, 3, 4, 3, 4, 2, 5, 4, 3, 5, 4, 2, 3, 4, 4, 2, 2, 3, 5, 3, 4, 2, 5, 5, 3, 1, 4, 5, 3, 5, 4, 5, 4, 2, 3, 3, 4, 4, 4, 5, 5, 5, 3, 4, 3, 3, 2, 4, 3, 5], "333": [4, 4, 2, 1, 4, 5, 1, 4, 4, 2, 2, 4, 3, 4, 5, 3, 5, 5, 3, 3, 2, 2, 3, 5, 3, 2, 4, 3, 5, 2, 3, 3, 3, 5, 3, 2, 1, 3, 5, 4, 4, 3, 2, 4, 3, 5, 5, 4, 4, 2, 3, 4, 3, 5, 5, 5, 4, 5, 3, 5, 4, 2, 1, 5, 1, 3, 3, 5, 4, 3, 3, 3, 3, 5, 5, 4, 5, 4, 2, 4, 4, 3, 5, 2, 5, 5, 3, 3, 3, 1, 3, 4, 4, 5, 3, 3, 2, 5, 3, 1, 4, 3, 4, 1, 3, 4, 4, 5, 1, 2, 2, 4, 4, 3, 4, 3, 3, 5, 2, 3, 4, 3, 2, 1, 5, 5, 4, 3, 2, 3, 4, 4, 2, 3, 4, 5, 3, 4, 3, 3, 3, 3, 5, 5, 3, 4, 3, 4, 5, 3, 2, 5, 3, 3, 3, 5, 3, 5, 1, 3, 4, 4, 2, 2, 4, 3, 4, 3, 4, 5, 5, 5, 3, 1, 3, 3, 3, 3, 4, 2, 3, 5, 3, 5, 4, 4, 3, 1, 1, 4, 1, 4, 4, 2, 4, 3, 3, 3, 2, 3, 2, 3, 4, 4, 2, 4, 3, 2, 3, 2, 2, 2, 4, 5, 2, 1, 3, 4, 5, 2], "2262": [4, 3, 1, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 4, 3, 2, 3, 4, 2, 3, 5, 1, 5, 4, 3, 5, 3, 4, 1, 3, 3, 3, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 3, 4, 5, 5, 1, 5, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 2, 5, 3, 5, 4, 4, 4, 3, 3, 3, 4, 5, 3, 4, 5, 4, 2, 3, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 5, 2, 4, 3, 2, 3, 3, 3, 5, 4], "5643": [2, 2, 2, 2, 1, 2, 3, 4, 4, 5, 3, 2, 4, 3, 4, 4, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 2, 4, 2, 4, 3, 4, 3, 2, 3, 4, 3, 3, 1, 2, 1, 3, 4, 4, 4, 5, 5, 3, 5, 3, 5, 2, 1, 1, 2, 4, 1, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 3, 1, 5, 3, 3, 3, 2, 3, 4, 3, 2, 4, 5, 4, 3, 4, 4, 3, 4, 2, 3, 4, 2, 4, 4, 3, 2, 2, 4, 4, 3, 2, 4, 3, 4, 3, 5, 2, 3, 3, 5, 1, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 1, 1, 3, 3, 3, 3, 4, 5, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 3, 4, 3, 1, 4, 3, 1, 3, 4, 3, 1, 5, 3, 3, 4, 3, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 2, 4, 2, 4, 4, 3, 3, 3, 2, 3, 1, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 2, 4, 2, 3, 3, 3, 4, 4, 3, 4, 5, 2, 5, 4, 2, 4, 3, 4, 5, 3, 3, 2, 4, 2, 1, 2, 4, 3, 1, 3, 4, 2, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 5, 5, 3, 1, 4, 3, 3, 3, 5, 1, 4, 5, 5, 2, 2, 3, 3, 2, 1, 5, 3, 4, 2, 4, 5, 2, 3, 4, 3, 4, 3, 2, 3, 1, 3, 3, 2, 3, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 2, 4, 3, 2, 4, 4, 5, 3, 4, 2, 1, 3, 2, 4, 4, 2, 4, 1, 2, 1, 1, 5, 3, 2, 3, 1, 4, 3, 4, 5, 3, 2, 4, 4, 3, 3, 3, 3, 2, 1, 4, 4, 2, 1, 3, 4, 3, 2, 3, 5, 1, 3, 2, 4, 3, 4, 2, 3, 5, 5, 2, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 5, 3, 3, 3, 5, 3, 3, 4, 4, 2, 4, 5, 4, 5, 3, 4, 4, 4, 4, 1, 4, 5, 3, 4, 3, 3, 3, 3, 4, 5, 2, 3, 3, 4, 1, 4, 2, 5, 5, 2, 4, 3, 3, 4, 5, 3, 5, 2, 4, 4, 3, 3, 4, 3, 4, 3, 1, 2, 3, 3, 4, 3, 5, 3, 2, 3, 3, 4, 4, 4, 3, 2, 3, 1, 2, 4, 2, 5, 4, 3, 4, 2, 3, 5, 1, 5, 2, 4, 3, 3, 2, 4, 1, 1, 3, 3, 3, 4, 2, 2, 1, 4, 2, 2, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 2, 3, 3, 4, 5, 4, 5, 1, 4, 4, 1, 3, 2, 3, 2, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 5, 4, 4, 4, 2, 1, 5, 5, 4, 4, 4, 3, 2, 3, 4, 2, 4, 4, 3, 2, 2, 4, 3, 4, 3, 2, 3, 4, 3, 3, 1, 4, 5, 1, 5, 4, 2, 5, 4, 2, 4, 3, 4, 1, 3, 5, 3, 1, 4, 1, 3, 4, 3, 2, 4, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 5, 5, 4, 3, 2, 3, 3, 2, 3, 2, 2, 2, 1, 3, 4, 1, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 2, 4, 4, 1, 1, 3, 3, 4, 4, 2, 4, 2, 3, 5, 4, 4, 2, 2, 2, 4, 4, 4, 5, 3, 3, 5, 2, 4, 2, 3, 3, 4, 1, 5, 1, 4, 4, 2, 2, 3, 3, 1, 2, 3, 3, 2, 3, 1, 3, 3, 3, 5, 4, 3, 1, 4, 3, 2, 3, 3, 1, 2, 3, 5, 1, 4, 3, 4, 4, 3, 4, 2, 2, 1, 4, 4, 5, 4, 5, 1, 3, 4, 4, 5, 3, 2, 3, 2, 3, 3, 4, 3, 1, 4, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 3, 4, 3, 2, 5, 3, 1, 3, 3, 4, 1, 4, 4, 5, 2, 4, 2, 3, 2, 3, 4, 4, 3, 4, 2, 1, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 1, 2, 3, 4, 3, 3, 3, 3, 3, 1, 3, 4, 3, 2, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 1, 3, 3, 4, 3, 4, 2, 1, 3, 4, 5, 4, 4, 2, 2, 2, 3, 4, 2, 4, 3, 2, 2, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 1, 3, 2, 3, 4, 3, 3, 3, 4, 3, 2, 4], "4471": [2, 3, 4, 3, 4, 5, 4, 4, 5, 4, 3, 2, 5, 3, 3, 3, 3, 3, 2, 4, 2, 2, 2, 4, 3, 3, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 2, 4, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 2, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 3], "1247": [5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 4, 1], "792": [5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5], "338": [4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 2, 3, 3, 4, 4, 3, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 5, 5, 3, 4, 5, 4, 4, 2, 3, 4, 4, 5, 2, 5, 4, 2, 5, 4, 3, 4, 4, 3, 1, 3, 3, 3, 4, 3, 4, 5, 4, 2, 1, 2, 4, 2, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 2, 5, 3, 4, 4, 4, 3, 2, 1, 4, 3, 4, 3, 3, 5, 5, 1, 3, 4, 4, 4, 4, 4, 3, 1, 4, 3, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 5, 2, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 3, 3, 2, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 1, 3, 2, 3, 5, 4, 3, 5, 4, 2, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 2, 1, 4, 2, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 2, 4, 3, 2, 4, 3, 4, 5, 3, 2, 2, 3, 5, 1, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 2, 5, 4, 3, 2, 5, 5, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 2, 2, 4, 5, 3, 3, 4, 4, 4, 2, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3], "276": [5, 4, 2, 4, 3, 2, 3, 5, 2, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4], "4416": [5, 4, 4, 4, 5, 5, 3, 3, 5, 4, 4, 1, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 1, 5, 5, 5, 4, 5, 3, 2, 5, 3, 4, 3, 5, 2, 5, 2, 5, 1, 5, 4, 5, 4, 4, 5, 4, 2, 4, 5, 3, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 2, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 2, 5, 5, 2, 4, 4, 5, 5, 4, 5, 3, 2, 4, 5, 4, 5, 4, 2, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5], "5142": [4, 4, 3, 4, 2, 4, 4, 4, 2, 3, 4, 5, 5, 1, 5, 5, 3, 4, 3, 5, 5, 5, 3, 2, 3, 3, 5, 3, 3, 3, 4, 5, 4, 3, 4, 3, 1, 5, 1, 1, 4, 2, 4, 3, 5, 1, 4, 5, 4, 3, 2, 5, 3, 3, 5, 5, 3, 4, 5, 4, 3, 2, 3, 3, 5, 2, 4, 2, 4, 3, 2, 5, 5, 5, 5, 3, 2, 4, 5, 5, 4, 3, 3, 3, 4, 5, 4, 2, 1, 3, 5, 1, 3, 3, 4, 2, 5, 5, 4, 4, 5, 3, 5, 4, 3, 3, 3, 3, 1, 5, 5, 5, 3, 5, 3, 5, 2, 5, 2, 5, 5, 4, 5, 2, 5, 4, 5, 4, 4, 5, 5, 1, 5, 3, 2, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 1, 4, 4, 3, 4, 4, 5, 5, 1, 1, 4, 4, 4, 2, 3, 3, 5, 2, 2, 4, 5, 5, 5, 5, 4, 3, 3, 2, 2, 4, 4, 1, 5, 4, 1, 2, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 1, 5, 1, 5, 5, 5, 5, 5, 3, 3, 4, 3, 3, 2, 2, 5, 2, 3, 4, 1, 2, 5, 5, 3, 1, 4, 2, 1, 3, 1, 5, 3, 1, 5, 4, 5, 2, 2, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 3, 5, 3, 3, 4, 5, 5, 1, 5, 5, 5, 1, 1, 3, 4, 5], "1432": [4, 4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 5, 5], "3614": [4, 3, 2, 4, 3, 4, 5, 4, 3, 2, 4, 2, 5, 5, 2, 3, 5, 4, 5, 4, 5, 4, 4, 5, 3, 4, 2, 5, 5, 5, 3, 4, 3, 4, 4, 3, 1, 1, 5, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 2, 1, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 2, 4, 5, 3], "4909": [5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 2, 5, 2, 4, 3, 4, 5, 4, 5, 2, 3, 2, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 5, 5, 2, 3, 5, 2, 4, 5, 2, 4, 3, 5, 5, 5, 2, 4, 3, 1, 4, 3, 2, 5, 4, 4, 2, 3, 5, 4, 4, 5, 3, 5, 3, 5, 5, 5, 5, 3, 4, 4, 2, 3, 1, 3, 4, 5, 2, 4, 4, 4, 4, 5, 4, 3, 3, 5, 1, 4, 3, 4, 3, 5, 4, 4, 5, 2, 5, 1, 5, 2, 5, 3, 3, 2, 2, 3, 3, 5, 3, 4, 2, 5], "1839": [5, 3, 4, 4, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 1, 4, 5, 4, 4, 4, 5, 4, 3], "5070": [4, 3, 4, 4, 5, 1, 4, 5, 4, 5, 1, 3, 3, 1, 2, 3, 1, 3, 4, 4, 3, 2, 5, 4, 2, 2, 2, 3, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 5, 2, 4, 5, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 5, 3, 5, 4, 4, 4, 1, 3, 4, 5, 4, 5, 3, 1, 4, 3, 4, 5, 4, 3, 4, 4, 5, 3, 4, 5, 5, 5, 3, 3, 4, 4, 3, 4, 1, 4, 4, 4, 5, 3, 5, 4, 2, 5, 3, 3, 4, 4, 2, 5, 3, 2, 1, 2, 1, 4, 4, 2, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 3, 4, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 3, 1, 3, 2, 5, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 5, 4, 5, 4, 1, 2, 3, 2, 4, 3, 2, 4, 2, 4, 3, 4, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 2, 5, 2, 3, 4, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 3, 4, 2, 5, 5, 2, 2, 3, 4, 3, 2, 4, 4, 4, 5, 4, 3, 4, 1, 4, 5, 4, 3, 2, 3, 4, 4, 5, 5, 4, 3, 2, 3, 3, 4, 5, 4, 2, 3, 3, 4, 3, 5, 3, 4, 1, 3, 2, 3, 4, 2, 4, 3, 5, 3, 4, 2, 2, 1, 3, 4, 5, 2, 1, 3, 5, 3, 3, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 5, 3, 3, 4, 4, 2, 5, 5, 3, 4, 4, 1, 4, 2, 3, 2, 1, 2, 3, 4, 3, 5, 3, 4, 4, 4, 5, 4, 2, 1, 3, 5, 5, 4, 4, 1, 3, 3, 5, 4, 4, 4, 4, 1, 4, 3, 4, 3, 4, 2, 4, 4, 3, 4, 2, 5, 3, 1, 1, 3, 5, 4, 4, 4, 5, 3, 3, 4, 3, 1, 3, 4, 5, 3, 2, 5, 4, 3, 4, 3, 4, 4, 3, 5, 4, 2, 4, 5, 5, 4], "1841": [1, 4, 1, 3, 5, 4, 5, 3, 3, 2, 2, 3, 4, 2, 3, 4, 2, 1, 5, 3, 2, 2, 2, 2, 2, 2, 1, 1, 4, 3, 2, 4, 2, 2, 3, 2, 4, 4, 1, 3, 4, 2, 2, 4, 1, 2, 3, 2, 2, 3, 1, 1, 1, 1, 4, 1, 4, 1, 5, 2, 4, 4, 3, 4, 1, 2, 4, 4, 2, 1, 1, 1, 5, 1, 3, 1, 1, 4, 1, 4, 1, 3, 3, 3, 2, 3, 1, 2, 1, 1, 3, 1, 3, 4, 2, 1, 4, 1, 5, 1, 3, 1, 4, 1, 3, 4, 4, 2, 3, 5, 3, 3, 3, 2, 5, 5, 3, 2, 5, 3, 3, 1, 2, 4, 4, 1, 5, 4, 4, 1, 2, 1, 1, 1, 2, 2, 3, 2, 4], "3489": [4, 1, 3, 4, 5, 5, 3, 3, 1, 5, 2, 4, 2, 4, 4, 1, 1, 4, 1, 3, 3, 2, 3, 4, 3, 1, 3, 2, 1, 3, 2, 3, 4, 3, 1, 1, 1, 2, 1, 3, 2, 3, 4, 4, 4, 1, 3, 1, 4, 4, 2, 2, 4, 5, 4, 3, 5, 3, 5, 1, 1, 5, 1, 4, 5, 4, 3, 3, 3, 3, 5, 1, 2, 2, 3, 3, 2, 5], "4838": [2, 4, 3, 4, 5, 2, 5, 2, 4, 5, 2, 4, 4, 5, 4, 4, 4, 3, 5, 3, 5, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4], "1411": [4, 2, 5, 3, 5, 2, 2, 4, 5, 3, 1, 3, 2, 5, 3, 5, 3, 2, 4, 5, 1, 1, 3], "2950": [4, 5, 4, 4, 3, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 5, 5, 2, 5, 4, 2, 3, 3, 2, 5, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 1, 2, 1, 4, 4, 3, 4, 2, 5], "2618": [2, 5, 5, 1, 5, 5, 1, 2, 1, 1, 3, 4, 5, 3, 5, 1, 1, 4, 1, 4, 4], "310": [5, 5, 5, 4, 2, 2, 4, 2, 2, 4, 4, 3, 2, 1, 1, 5, 3, 4, 3, 4, 2, 2, 4, 5, 4, 5, 2, 3, 4, 2, 3, 4, 2, 3, 1, 2, 1, 4, 4, 3, 4, 5, 2, 5, 5, 4, 1, 4, 4, 5, 4, 4, 3, 1, 4, 1, 4, 4, 4, 5, 1, 2, 3, 2, 4, 2, 2, 4, 2, 4, 2, 2, 4, 3, 3, 4, 5, 2, 4, 4, 4, 2, 1, 3, 5, 3, 4, 5, 3, 5, 3, 4, 1, 4, 4, 5, 3, 5, 5, 3, 4, 4, 4, 2, 4, 5, 2, 5, 4, 2, 1, 3, 4, 4, 3, 5, 4, 3, 5, 1, 5, 4, 4, 3, 3, 3, 3, 4, 2, 2, 1, 4, 3, 2, 3, 3, 3, 2, 4, 4, 5, 1, 5, 4, 4, 5, 4, 5], "1173": [3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 5, 3, 4, 2, 1, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 2, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 2, 3, 2, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 3, 5, 4, 4, 3, 3, 3, 3, 5, 5, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 2, 3, 2, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 1, 3, 4, 3, 4, 3, 3, 2, 4, 5, 3, 4, 5, 3, 2, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 5, 5, 2, 3, 4, 3, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 2, 4, 2, 4, 3, 3, 3, 3, 3, 4, 5, 3, 1, 3, 3, 3, 3, 4, 3], "3724": [5, 3, 2, 3, 4, 4, 4, 3, 5, 3, 3, 5, 4, 3, 4, 3, 5, 4, 5, 5, 5, 3, 3, 4, 2, 3, 3, 3, 4, 3, 1, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 3, 1, 5, 4, 4, 1, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 5, 5, 5, 4, 4, 4, 4, 1, 5, 5, 4, 4, 3, 3, 1, 4, 2, 4, 3, 5, 3, 3, 4, 3, 2, 2, 5, 4, 4, 4, 1, 3, 3, 4, 4, 2, 3, 4, 3, 4, 4, 3, 5, 1, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 4, 2, 4, 4, 5, 5, 2, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 2, 5, 3, 4, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 3, 5, 4, 3, 5, 2, 5, 2, 3, 3, 2, 4, 2, 2, 4, 3, 3, 3, 3, 4, 2, 1, 3, 3, 3, 5, 3, 3, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 4, 5, 3, 3, 3, 3, 2, 4, 2, 5, 5, 3, 3, 3, 2, 2, 4, 3, 1, 4, 3, 4, 4, 2, 3, 5, 5, 3, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 2, 4, 5, 4, 3, 2, 3, 3, 4, 3, 4, 3, 5, 4, 5, 5, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 5, 3, 5, 4, 2, 3, 3, 3, 4, 5, 3, 4, 3, 3, 4, 3, 4, 2, 3, 5, 5, 3, 1, 3, 3, 4, 3, 3, 4, 2, 3, 1, 3, 4, 3, 3, 3, 2, 4, 3, 5, 4, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 2, 5, 3, 3, 4, 3, 5, 4, 5, 3, 5, 1, 4, 5, 1, 2, 3, 4, 3, 2, 1, 5, 3, 5, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 5, 3, 4, 3, 5, 5, 4, 3, 2, 5, 4, 3, 5, 4, 4, 4, 2, 5, 4, 3, 4, 5, 3, 5, 5, 4, 3, 2, 4, 3, 2, 3, 1, 3, 5, 3, 3, 4, 3, 3, 2, 4, 5, 3, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 4, 2, 2, 5, 3, 4, 3, 4, 5, 4, 5, 3, 5, 4, 5, 5, 3, 4, 3, 3, 3, 3, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 3, 5, 3, 2, 1, 4, 3, 4, 3, 3], "4743": [3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 5, 2, 5, 4, 3, 5, 5, 4, 5, 2, 5, 4, 5, 4, 4, 4, 4], "721": [3, 4, 4, 3, 5, 3, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 2, 5, 3, 5, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 3, 1, 4, 5, 3, 5, 3, 3, 5, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 2, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 2, 4, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 5, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 5, 4, 3, 4, 5, 4, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 4, 5, 4, 3, 2, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 3, 4, 5, 3, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 3, 4, 4, 4, 2, 5, 4, 3, 5, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 5, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 2, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 5, 5, 4, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 1, 4, 4, 5, 5, 5, 3, 3, 4, 3, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 1, 4, 2, 4, 3, 3, 4, 4, 4, 3, 3, 3, 5, 2, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 4], "4714": [4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 4, 2, 1, 3, 4, 3, 4, 4, 1, 3, 4, 4, 3, 4, 3, 5, 4, 5, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 5, 3, 4, 2], "5453": [5, 5, 2, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 5, 5, 5, 3, 4, 4, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 2, 4, 5, 4, 4, 3, 5, 4, 4, 3, 2, 3, 4, 4, 4, 5, 5, 5, 2, 3, 5, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 2, 2, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 3, 1, 4, 2, 5, 4, 5, 5, 4, 3, 5, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 4, 5, 4], "598": [3, 4, 4, 2, 4, 3, 3, 5, 2, 4, 3, 4], "2704": [4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 5, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4], "1402": [4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 3, 4, 5, 5, 3, 5, 5, 5, 3, 4, 3, 4, 4, 5, 5, 4], "324": [3, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 1, 5, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 2, 2, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 1, 3, 3, 3, 1], "3703": [5, 3, 5, 4, 2, 4, 4, 5, 1, 5, 5, 5, 2, 5, 5, 2, 3, 1, 3, 4, 2, 4, 4, 3, 1, 4, 4, 4, 4, 5, 5, 4, 5, 5], "5215": [5, 5, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5], "1838": [3, 3, 3, 4, 4], "5031": [4, 2, 3, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 1, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 5, 4, 4], "4214": [4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5], "938": [5, 4, 4, 5, 4, 1, 5, 3, 3, 5, 5, 3, 4, 4, 4, 4, 5], "1179": [5, 3, 4, 3, 4, 4, 2, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 2, 3, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 2, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 2, 5, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 2, 3, 3, 4, 3, 3, 3, 3, 2, 1, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 2, 5, 3, 4, 3, 1, 3, 4, 3, 4, 4, 3, 3, 5, 4, 3, 3, 2, 4, 4, 3, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 3, 5, 4, 3, 2, 3, 3, 5, 4, 4, 3, 1, 5, 4, 5, 5, 3, 4, 3, 3, 3, 3, 4], "5623": [3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 2, 2, 3, 5, 1, 3, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 2, 5, 5, 4, 2, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 2, 4, 5, 2, 4, 4, 4, 5, 4, 3, 5, 5, 3, 4, 3, 5, 4, 3, 3, 3, 3, 3, 5, 3, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 5, 5, 4, 3, 3, 5, 2, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 3, 5, 2, 3, 4, 4, 3, 3, 2, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 2, 5, 5, 4, 5, 5, 3, 3, 5, 5, 4, 4, 3, 5, 4, 4, 5, 3, 2, 3, 2, 3, 5, 5, 3, 5, 5, 3, 4, 3, 2, 5, 1, 5, 4, 5, 5, 3, 2, 4, 3, 3, 4, 5, 3, 3, 3, 2, 2, 4, 5, 4, 4, 2, 5, 2, 5, 5, 4, 3, 5, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 5, 4], "5436": [5, 5, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4], "1679": [4, 4, 5, 4, 5, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4], "5702": [3, 4, 4, 4, 4, 2, 4, 2, 4, 2, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 1, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 2, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 2, 5, 4, 4, 3, 4, 3, 2, 4, 5, 5, 5, 5], "2036": [3, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 3, 4, 3, 5, 4, 3, 5, 5, 4, 5, 5, 1, 5, 4, 3, 5, 4, 4, 4, 3, 1, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5], "2625": [4, 3, 4, 3, 3, 4, 4, 5, 4, 1, 3, 3, 2, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 2, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 1, 3, 3, 3, 2, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 3, 5, 1, 3, 4, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 1, 3, 3, 4, 4, 3, 3, 4, 3, 5, 3, 3, 2, 3, 4, 3, 5, 2, 4, 5, 5, 3, 4, 5, 3, 3, 2, 3, 5, 3, 5], "1913": [4, 5, 3, 4, 3, 4, 3, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4], "5673": [2, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 1], "5718": [4, 5, 5, 5, 4, 5, 5, 5, 1, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 2, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 3, 5, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 2, 2, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 1, 3, 5, 4, 4, 4, 4, 3, 4, 5, 1, 5, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5], "5779": [3, 2, 5, 3, 3, 4, 4, 2, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 5, 2, 4, 2, 2, 4, 5, 5, 4, 2, 4, 2, 4, 3, 4, 3, 4, 5, 4, 2, 5, 2, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 2, 3, 3, 3, 4, 3, 5, 2, 5, 4, 5, 3, 2, 5, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 5, 3, 3, 5, 3, 3, 3, 4, 3, 2, 4, 3, 2, 2, 3, 3, 4, 3, 2, 5, 5, 3, 3, 5, 2, 4, 3, 5, 3, 3, 5, 2, 3, 3, 4, 3, 4, 3, 3, 5, 3, 4, 2, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 5, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 3, 5, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 5, 4, 3, 4, 3, 4, 1, 2, 4, 3, 3, 5, 3, 5, 4, 4, 4, 5, 3, 3, 5, 4, 4, 5, 2, 4, 3, 4, 3, 5, 2, 3, 3, 3, 3, 3, 5, 3, 5, 3, 3, 2, 5, 2, 3, 2, 4, 3, 4, 3, 4, 4, 3, 2, 4, 1, 3, 3, 2, 4, 2, 3, 4, 4, 2, 4, 4, 5, 2, 3, 2, 4, 5, 5, 3, 5, 2, 4, 4, 2, 3, 3, 4, 2, 3, 3, 5, 4, 5, 3, 4, 3, 2, 4, 5, 3, 5, 2, 3, 3, 2, 5, 3, 4, 3, 1, 2, 4, 2, 5, 3, 2, 2, 4, 2, 4, 3, 3, 4, 4, 2, 2, 1, 5, 3, 2, 2, 2, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 2, 4, 4, 4, 4, 3, 2, 3, 3, 5, 3, 3, 5, 5, 3, 4, 4, 4], "1184": [1, 2, 3, 5, 2, 4, 4, 3, 4, 3, 2, 2, 4, 5, 4, 4, 5, 1, 4, 4, 3, 5, 5, 2, 3, 5, 2, 2, 4, 3, 3, 4, 1, 3, 3, 3, 4, 3, 5, 4, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 2, 4, 2, 1, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 4, 2, 4, 2, 4, 3, 2, 4, 5, 2, 4, 4, 2, 2, 5, 3, 4, 4, 2, 4, 2, 3, 2, 2, 4, 3, 5, 2, 5, 5, 5, 5, 3, 2, 3, 4, 5, 5, 2, 5, 4, 3, 3, 4, 3, 5, 3, 4, 3, 5, 4, 3, 3, 2, 4, 4, 3, 2, 2, 4, 4, 4, 2, 3, 5, 2, 2, 3, 4, 4, 5, 5, 3, 3, 2, 3, 4, 2, 2, 3, 3, 4, 3, 2, 5, 3, 3, 2, 2, 3, 4, 2, 4, 2, 4, 2, 4, 5, 5, 4, 2, 1, 4, 3, 4, 2, 5, 4, 3, 5, 2, 3, 3, 4, 3, 3, 3, 2, 4, 2, 5, 4, 3, 4, 3, 2, 3, 4, 4, 5, 4, 1, 4, 4, 2, 5, 2, 3, 3, 4, 2, 4, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 2], "111": [4, 4, 5, 4, 2, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 2, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 4, 5, 3, 5, 3, 4, 2, 4], "4806": [4, 4, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 5, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 3], "3384": [4, 3, 3, 5, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 3, 2, 4, 3, 2, 5, 4, 2, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 1, 4, 1, 4, 4, 2, 3, 3, 4, 5, 2, 3, 3, 5, 5, 2, 4, 2, 4, 5, 2, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 2, 3, 5, 2, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 2, 5, 5, 4, 5, 4, 3, 4, 2, 3, 5, 3, 5, 4, 3, 5, 5, 3, 4, 5, 3, 5, 4, 3], "3186": [3, 5, 5, 5, 4, 5, 3, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 1, 5, 3, 3, 4, 3, 1, 5, 1], "1123": [5, 5, 1, 3, 4, 3, 4, 2, 3, 5, 2, 4, 5, 3, 3, 5], "3895": [3, 3, 3, 4, 3, 3, 3, 4, 1, 4, 3, 1, 4, 4, 3, 3, 2, 3, 4, 3, 5, 3, 3, 4, 4, 4, 3, 1, 3, 2, 3, 4, 2, 3, 3, 5, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 5, 3, 4, 2, 3, 4, 3, 3], "3708": [4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 3, 2, 4, 3, 5, 3, 4, 4, 4, 5, 4, 5], "2927": [3, 4, 3, 4, 2, 5, 3, 5, 4, 3, 5, 1, 5, 2, 4, 1, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 4, 5, 3, 3, 3, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 3, 5], "2842": [4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 4, 2, 3, 3, 4, 4, 2, 3, 4, 4, 5, 2, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4], "1234": [5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 2, 5, 4], "4106": [5, 5, 1, 2, 2, 5, 4, 2, 3, 3, 3, 3, 3, 1, 1, 2, 1, 5, 5, 4], "3005": [5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 4, 3, 3, 5, 3, 4, 2, 4, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 5, 3, 1, 4, 2, 5, 3, 3, 4, 5, 5, 5, 5, 1, 3, 2, 1, 4, 4, 5, 4, 4, 2, 3, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 2, 3, 5, 2, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 5], "4912": [3, 5, 4, 4, 4, 5], "4496": [3, 3, 4, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 4, 3, 5, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 2, 3, 4, 2, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4], "1698": [5, 5, 5, 3, 4, 3, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 2, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 3, 1, 5, 2, 4, 4, 5, 5, 3, 1, 4, 4, 2, 4, 3, 2, 3, 1, 5, 3, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 4, 2, 4, 2, 1, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 2, 3, 3, 4, 3, 4, 3, 5, 4, 4, 2, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 5, 4, 3, 5, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 3, 5, 5, 5, 4, 3, 3, 5, 4, 5, 2, 4, 3, 4, 5, 3, 4, 2, 3, 5, 5, 2, 4, 3, 1, 4, 5, 4, 5, 3, 4, 3, 3, 4, 5, 3, 4, 3, 5, 5, 4, 4, 5, 4, 2, 5, 4, 2, 4, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 2, 4, 4, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 2, 3, 3, 5, 4, 5, 3, 2, 5, 2, 2, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 3, 5, 5, 3, 5, 4, 3, 3, 4, 4, 4, 3, 3, 5, 1, 3, 4, 4, 5, 5, 4, 5, 3, 3, 3, 4, 3, 2, 3, 3, 5, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 5, 5, 2, 3, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 2, 3, 5, 4, 3, 3, 3, 5, 2, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 3, 4, 3, 3, 4, 2, 5, 3, 4, 5, 2, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 3, 5, 2, 4, 5, 4, 4, 4, 5, 2, 4, 2, 3, 3, 4, 5, 4, 3, 3, 2, 2, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 5, 4, 3, 5, 4, 5, 3, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 5, 5, 5, 2, 4, 3, 4, 2, 5, 4, 5, 3, 1, 5, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 5, 4, 4, 4, 2, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 1, 5, 4, 5, 4, 3, 2, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 3, 4, 1, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 2, 2, 2, 4, 3, 2, 5, 5, 3, 5, 3, 4, 3, 5, 5, 3, 5, 4, 2, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 4, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 2, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 2, 4, 4, 5, 4, 2, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 5], "4293": [2, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 1, 4, 4], "5625": [5, 1, 4, 5, 2, 4, 4, 4, 5, 2, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 1, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 1, 2, 5, 4, 5, 5, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 3, 4, 5, 3, 4, 4, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 2, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5], "984": [4, 4, 4, 4, 2, 5, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 2, 4, 2, 2, 4, 4, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 5, 2, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 4, 1, 4, 4, 3, 3, 4, 3, 5, 1, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 4, 3, 4, 5, 4, 2, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 1, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 4, 2, 2, 3, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 5, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 2, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 2, 4, 2, 5, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 2, 3, 4, 2, 3, 3, 2, 4, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 2, 1, 4, 3, 3, 4, 4, 4, 5, 3, 4, 3, 2, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 5, 2, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 5, 2, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 5], "1486": [5, 4, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 5, 4], "4288": [4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5], "5371": [5, 4, 5, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 2, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 3, 2, 3, 5, 4, 4, 4, 5, 4, 5, 3, 4, 2, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 3, 2, 3, 4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 2, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 5, 3, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 2, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 2, 5, 4, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 3, 4, 2, 5, 2, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 2, 5, 2, 5, 5, 4, 5, 2, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 5, 4, 4, 3, 5, 5, 5, 5], "2208": [2, 1, 4, 3, 4, 3, 1, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 2, 5, 3, 3, 4, 5, 5, 4, 1, 5, 3, 3, 2, 1, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 3, 5, 2, 3, 3, 5, 2, 5, 4, 1, 5, 2, 3, 4, 3, 4, 5, 4, 5, 4, 1, 3, 3, 2, 3, 4, 4, 3, 5, 3, 2, 5, 4, 3, 4, 4, 4, 1, 5, 2, 1, 4, 3, 2, 3, 4, 1, 5, 3, 4, 2, 4, 4, 2, 4, 4, 2, 4, 3, 4, 2, 4, 5, 2, 3, 4, 5, 4, 5, 4, 3, 4, 5, 1, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 5, 2, 4, 2, 4, 5, 4, 5, 4, 5, 5, 5, 2, 3, 5, 3, 5], "2480": [4, 5, 2, 5, 5, 5, 4, 4, 5, 3, 5, 5, 3, 5, 2, 3, 4, 4, 5, 5, 2, 5, 3, 4], "5773": [5, 4, 4, 5, 4, 3, 5], "5609": [4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5], "1437": [5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 1, 4, 4, 5, 3, 3, 4, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3], "1238": [4, 5, 5, 4, 3, 5, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4], "1280": [5, 5, 2, 4, 5, 5, 2, 5, 5, 4, 5, 5, 5], "2400": [5, 4, 4, 3, 2, 4, 5, 2, 1, 4, 2, 5, 3, 2, 3, 4, 5, 3, 5, 5, 2, 4, 4, 4, 3, 2, 2, 4, 3, 2, 5, 3, 3, 4, 3, 2, 1, 5, 2, 3, 4, 3, 4, 3, 5, 2, 4, 3, 4, 2, 2, 4], "4116": [4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 3, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 1, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 1, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 3, 5, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 1, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2], "4507": [4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 3, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 4, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 4, 5, 5, 3, 3, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5], "4082": [3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 5, 5, 4, 3, 5, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 3, 5, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5], "5488": [2, 4, 3, 4, 4, 2, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 1, 5, 1, 3, 4, 1, 5, 2, 2, 5, 1, 3, 1, 4, 4, 2, 4, 5, 3, 4, 4, 4, 1, 2, 3, 5, 2, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 2, 4, 5, 2, 5, 1, 2, 2, 4, 5, 4, 4, 2, 2, 4, 3, 4, 5, 5, 1, 2, 4, 3, 3, 4, 5, 4, 2, 1, 2, 2, 3, 5, 3, 4, 4, 2, 4, 4, 2, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 2, 4, 3, 2, 4, 3, 4, 4, 3, 2, 5, 3, 2, 5, 3, 5, 5, 2, 3, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 2, 5, 4, 4, 3, 4, 1, 4, 4, 3, 5, 4, 4, 5, 2, 3, 4, 5, 2, 2, 1, 4, 4, 1, 4, 2, 4, 1, 3, 5, 4, 5, 5, 3, 3, 2, 5, 3, 1, 2, 5, 3, 4, 3, 3, 5, 1, 4, 4, 5, 1, 3, 3, 3, 3], "2053": [3, 5, 5, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 2, 2, 1, 1, 1, 2, 4, 3, 4], "844": [3, 4, 1, 4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 5, 4, 1, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 2, 2, 3, 2, 4, 5, 3, 2, 3, 1, 2, 1, 3, 3, 5, 3, 4, 4, 2, 2, 2, 3, 1, 3, 5, 3, 2, 3, 3, 2, 4, 4, 3, 3, 1, 3, 4, 3, 3], "4739": [4, 5, 4, 4, 4, 5, 3, 2, 4, 3, 4, 4, 4, 5, 5, 4, 4, 1, 4, 4, 5, 5, 2, 5, 5, 3, 3, 3, 4, 3, 5, 5, 3, 5, 4, 5, 3, 4, 3, 5, 5, 3, 5, 3, 5, 4, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 5, 2, 4, 4, 3, 2, 4, 3, 5, 3, 2, 5, 3, 2, 3, 4, 5, 5, 5, 5, 4, 1, 5, 4], "690": [4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 1, 5, 3, 5, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5], "5950": [2, 2, 2, 4, 4, 3, 2, 5, 2, 2, 3, 4, 3, 3, 1, 4, 3, 4, 5, 3, 5, 4, 5, 3, 5, 3, 1, 1, 4, 2, 3, 3, 3, 4, 1, 3, 3, 3, 2, 3, 1, 4, 1, 2, 4, 2, 4, 3, 1, 1, 2, 3, 5, 3, 1, 3, 4, 4, 3, 3, 2, 2, 4, 4, 4, 5, 2, 4, 4, 4, 3, 1, 1, 2, 4, 2, 4, 2, 2, 3, 4, 4, 2, 4, 3, 2, 4, 5, 4, 4, 2, 3, 4, 2, 1, 2, 1, 2, 3, 3, 3, 4, 5, 5, 4, 3, 5, 3, 2, 4, 3, 3, 4, 3, 3, 3, 1, 2, 2, 3, 4, 1, 4, 2, 1, 3, 5, 3, 1, 3, 2, 4, 3, 3, 4, 5, 3, 2, 5, 2, 2, 1, 5, 4, 1, 4, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 2, 3, 2, 4, 3, 4, 2, 2, 4, 3, 4, 3, 4, 5, 4, 2, 3, 4, 3, 4, 4, 1, 4, 2, 2, 4, 4, 3, 3, 4, 1, 3, 4, 5, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 1, 5, 4, 5, 4, 3, 4, 2, 4, 2, 5, 4, 3, 4, 3, 2, 2, 4, 4, 4, 3, 5, 2, 2, 5, 3, 4, 4, 4, 3, 2, 3, 5, 3, 3, 4, 1, 4, 1, 3, 3, 3, 3, 2, 1, 4, 4, 3, 3, 4, 4, 2, 2, 1, 3, 1, 4, 3, 1, 1, 4, 3, 4, 3, 4, 1, 2, 2, 4, 1, 4, 5, 3, 2, 4, 4, 3, 2, 2, 2, 1, 2, 3, 4, 5, 4, 3, 4, 2, 4, 3, 1, 4, 3, 2, 2, 3, 4, 4, 1, 1, 2, 4, 2, 1, 1, 1, 5, 2, 5, 5, 2, 1, 2, 3, 1, 5, 3, 2, 3, 2, 4, 1, 2, 5, 4, 2, 5, 3, 1, 3, 5, 5, 3, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 5, 3, 3, 2, 2, 2, 2, 4, 4, 1, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 3, 3, 4, 3, 3, 3], "2178": [5, 4, 4, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 3, 3, 3, 5, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 3, 3, 5, 4, 5, 4, 5, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5], "5279": [2, 4, 2, 4, 4, 3, 4, 3, 4, 2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 4, 5, 2, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 2, 5], "5481": [3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 5, 2, 3, 4, 4, 3, 3], "483": [4, 4, 1, 4, 3, 1, 4, 3, 3, 1, 5, 2, 3, 3, 1, 3, 2, 2, 2, 4, 2, 4, 3, 2], "3779": [5, 2, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 3, 3, 5, 4, 5, 4, 1, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 5, 4, 3, 5, 4, 2, 1, 3, 3, 4, 4, 2, 5, 5, 4, 4, 3, 3, 4], "970": [4, 4, 3, 4, 2, 4, 3, 3, 4, 2, 3, 1, 5, 3, 4, 5, 4, 5, 5, 3, 2, 2, 4, 3, 5, 1, 3, 2, 3, 2, 4, 3, 4, 4, 3, 2, 3, 3, 3, 4, 5, 5, 2, 3, 4, 2, 2, 3, 5, 3, 2, 3, 5, 2, 3, 1, 4, 3, 3, 3, 3, 5, 2, 2, 1, 5, 4, 3, 3, 5, 3, 5, 4, 3, 4, 4, 4, 3, 1, 4, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 4, 4, 4, 3, 4, 4, 2, 3, 2, 3, 2, 2, 5, 2, 1, 3, 3, 4, 3, 4, 1, 4, 3, 2, 3, 3, 4, 2, 4, 3, 2, 3, 2, 3, 3, 4, 3, 5, 2, 3, 2, 1, 4, 3, 4, 4, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 4, 2, 2, 3, 4, 5, 4, 3, 4, 4, 4, 3, 1, 3, 1, 4, 3, 4, 3, 2, 3, 4, 3, 3, 1, 1, 4, 4, 3, 2, 2, 5, 2, 4, 1, 3, 3, 5, 3, 2, 3, 4, 4, 2, 3, 4, 3, 2, 2, 5, 3, 2, 2, 2, 2, 4, 5, 2, 4, 4, 3, 3, 2, 4, 3, 4, 5, 3, 2, 3, 4, 3, 3, 4, 3, 2, 3, 4, 4, 1, 4, 2, 4, 2, 4, 1, 4, 5, 5, 1, 4, 5, 4, 3, 3, 2, 3, 2, 5, 3, 2, 2, 3, 4, 3, 3, 2, 5, 4, 4, 5, 4, 3, 2, 2, 4, 3, 2, 3, 4, 4, 4, 5, 4, 3, 2, 1, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 1, 1, 4, 3, 5, 2, 4, 2, 4, 5, 3, 4, 2, 2, 2, 5, 2, 3, 5, 1, 3, 3, 4, 3, 5, 4, 3, 3, 2, 3, 1, 3, 3, 3, 1, 5, 4, 5, 3, 3, 3, 4, 3, 3, 5, 2, 5, 2, 2, 3, 2, 2, 3, 2, 4, 2, 4, 2, 5, 3, 2, 5, 4, 3, 2, 2, 3, 5, 4, 4, 4, 4, 3, 3, 3, 5, 1, 3, 4, 4, 3, 2, 2, 4, 4, 3, 4, 2, 4, 2, 5, 2, 3, 5, 3, 4, 1, 2, 4, 2, 4, 3, 4, 2, 3, 5, 4, 4, 2, 4, 5, 2, 5, 5, 3, 2, 5, 1], "1270": [3, 4, 5, 5], "5032": [4, 3, 3, 5, 5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 2, 4, 4, 5, 3, 5, 3, 4, 3, 5, 4, 2, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 3, 3, 5, 5], "3092": [2, 3, 5, 3, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 3, 3, 4, 2, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5], "3032": [4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 4, 5, 1, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 2, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 1, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 1, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 1, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 3, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 5, 3, 3, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 1, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 5, 3, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 4, 3, 3, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 5, 2, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 2, 5, 4, 5, 5, 3, 3, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 3, 3, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 3, 4, 5, 3, 3, 5, 3, 3, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 2, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 2, 3, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 2], "1608": [3, 4, 1, 5, 1, 2, 3, 3, 1, 1, 3, 4, 4, 5, 3, 1, 3, 3, 1, 1, 1, 1, 1, 4, 4, 2, 4, 5, 3, 2, 1, 1, 1, 5, 1, 1], "5227": [3, 5, 3, 5, 3, 1, 2, 3, 2, 2, 5, 3, 4, 5, 2, 3, 3, 5, 5, 5, 3, 1, 3, 2, 2, 4, 5, 2, 2, 2, 5, 3, 2, 3, 5, 3, 5, 5, 2, 2, 5, 3, 3, 3, 5, 3, 5, 3, 1, 2, 5, 1, 2, 3, 2, 3, 3, 4, 3, 5, 2, 5, 5, 2, 5, 3, 2, 3, 3, 3, 5, 4, 2, 2, 1, 5, 3, 3, 5, 2, 4, 5, 1, 5, 5, 3, 3, 2, 3, 5, 3, 5, 2, 5, 2, 3, 2, 1, 2, 4, 4, 3, 3, 1, 2, 1, 2, 3, 3, 4, 2, 3, 3, 3, 3, 5, 1, 1, 4], "1448": [4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 2, 3, 2, 4, 2, 4, 3, 2, 4, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 3, 1, 4, 3, 3, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 5, 4, 3, 3, 5, 3, 2, 4, 4, 4, 3, 3, 5, 5, 4, 3, 5, 4, 4, 3, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 3, 5, 3, 4, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 2, 4, 4, 3, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 2, 5, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 3, 5, 3, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 4, 2, 3, 4, 5, 4, 5, 3, 2, 5, 4, 4, 2, 4, 4, 2, 4, 4, 5, 5, 4, 1, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 1, 5, 4, 3, 2, 5, 4, 4, 4, 5, 1, 3, 3, 4, 3, 4, 4, 5, 2, 4, 2, 4, 3, 3, 3, 4, 4, 5, 3, 5, 4, 4, 4, 3, 2, 4, 5, 2, 2, 3, 3, 5, 2, 5, 2, 4, 4, 5, 4, 4, 3, 5, 4, 1, 4, 3, 3, 5, 3, 4, 5, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 5, 3, 3, 5, 5, 4, 2, 5, 4, 4, 4, 2, 5, 3, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 3, 2, 5, 3, 4, 3, 5, 4, 5, 5, 3, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 2, 3, 5, 5, 5, 3, 3, 3, 2, 5, 4, 4, 3, 5, 3, 4, 3, 3, 4, 2, 5, 4, 5, 3, 2, 3, 5, 4, 4, 5, 5, 4, 2, 4, 4, 3, 3, 4, 5, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 2, 4, 3, 5, 4, 3, 4, 3, 3, 4, 2, 4, 4, 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 2, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 1, 4, 3, 5, 3, 2, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 4, 5, 3, 3, 5, 2, 1, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 2, 3, 3, 3, 3, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5, 2, 5, 5, 4, 2, 3, 5, 4, 5, 5, 5, 4, 4, 2, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 2, 4, 4, 1, 3, 3, 3, 3, 5, 4, 4, 3, 4, 2, 5, 3, 1, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 1, 3, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 2, 5, 3, 4, 4, 4, 4, 1, 4, 4, 4, 5, 3, 5, 2, 3, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 2, 4, 4, 5, 4, 3, 5, 3, 1, 3, 3, 4, 5, 3, 4, 2, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 2, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 1, 4, 1, 2, 5, 5, 2, 2, 4, 2, 5, 4, 4, 4, 5, 3, 1, 3, 4, 3, 1, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 2, 3, 5, 4, 5, 4, 5, 4, 3, 4, 2, 4, 5, 4, 5, 4, 4, 4, 3, 2, 4, 3, 4, 5, 4, 2, 4, 2, 4, 4, 4, 5, 4, 3, 1, 3, 4, 4, 4, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 4, 2, 4, 5, 5, 3, 4, 5, 4, 2, 3, 4, 5, 5, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 2, 3, 4, 5, 5, 4, 3, 5, 4, 4, 3, 5, 5, 3, 5, 4, 1, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 3, 2, 5, 3, 4, 3, 2, 5, 4, 3], "2847": [4, 3, 4, 3, 5, 2, 3, 3, 3, 1, 1, 2, 4, 1, 3, 3, 1, 2, 2, 1, 4, 4, 3, 5, 3, 4, 5, 5, 4, 2, 4, 3, 2, 1, 4, 2, 4, 3, 1, 3, 1, 4, 5, 4, 2, 3, 4, 5, 3, 2, 1, 4, 2, 3, 4, 2, 3, 1, 4, 3, 3, 2, 1, 5, 2, 2, 1, 2, 3, 4, 2, 2, 1, 2, 1, 3, 2, 2, 4, 4, 2, 3, 1, 3, 2, 1, 1, 1, 4, 3, 2, 2, 5, 4, 3, 3, 1, 3, 2, 4, 2, 4, 5, 2, 3, 1, 2, 2, 1, 2, 4, 1, 1, 2, 5, 3, 3, 2, 1, 3, 3, 4, 5, 3, 2, 2, 1, 3, 3, 4, 3, 3, 4, 2, 1, 3, 2, 2, 4, 5, 5, 4, 2, 2, 1, 1, 1, 4, 5, 2, 4, 2, 5, 2, 3, 4, 1, 1, 5, 1, 3, 2, 1, 1, 4, 4, 1, 4, 5, 3, 3, 3, 4, 3, 3, 1, 2, 1, 4, 2, 2, 1, 1, 3, 4, 2, 3, 3, 2, 2, 3, 1, 2, 2, 2, 3, 4, 1, 3, 1, 2, 1, 5, 1, 5, 4, 3, 3, 4, 4, 4, 1, 3, 3, 2, 3, 1, 2, 4, 2, 4, 2, 2, 1, 1, 3, 4, 1, 2, 5, 3, 1, 4, 4, 2, 4, 2, 3, 1, 3, 2, 1, 2, 2, 3, 2, 4, 4, 2, 1, 5, 3, 3, 3, 2, 1, 3, 1, 1, 1, 4, 3, 4, 1, 2, 1, 1, 1, 1, 1, 5, 3, 4, 3, 5, 4, 1, 1, 1, 2, 5, 2, 1, 2, 4, 4, 4, 4, 5, 2, 2, 4, 1, 5, 3, 1, 2, 2, 1, 3, 4, 1, 4, 1, 4], "3946": [4, 3, 4, 5, 5, 5, 4, 5, 4, 2, 5, 4, 3, 4, 5, 5, 4, 5, 5, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 2, 4, 4, 3, 4, 2, 5, 4, 3, 3, 2, 3, 4, 5, 2, 1, 4, 4, 4, 5, 4, 4, 4, 3, 1, 2, 3, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 3, 5, 1, 5, 2, 5, 4, 5, 5, 4, 4, 5, 3, 3, 3, 4, 3, 5, 4, 5, 3, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 3, 2, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 1, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 4, 3, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 3], "4442": [3, 2, 5, 4, 3, 4, 3, 4, 5, 4, 2, 4, 5, 4, 2, 3, 2, 4, 5, 4, 3, 3, 5, 1, 3, 3, 5, 4, 3, 3, 2, 2, 2, 4, 2, 3, 2, 4, 3, 3, 5, 3, 4, 2, 2, 4, 3, 4, 5, 4, 3, 3], "4042": [3, 5, 3, 4, 3, 3, 4, 3, 2, 4, 5, 1, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 4, 3, 2, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 5, 3, 3, 4, 4, 3, 4, 3, 2, 4, 4, 1, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 2, 1, 3, 2, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 3, 1, 3, 4, 3, 4, 4, 4, 4, 5, 1, 4, 3, 4, 2, 3, 2, 3, 4, 2, 3, 3, 2, 4, 3, 4, 4, 5, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 1, 2, 4, 4, 4, 4, 3, 3, 2, 4, 1, 5, 2, 4, 2, 4, 3, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 2, 1, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 4, 2, 4, 3, 4, 5, 1, 1, 1, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 1, 4, 4, 1, 3, 3, 2, 2, 4, 4, 5, 4, 3, 2, 1, 4, 4, 4, 2, 4, 2, 4, 4, 3, 4, 3, 4, 2, 3, 3, 2, 2, 5, 3, 5, 4, 4, 4, 2, 5, 4, 4, 2, 2, 5, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3], "4618": [3, 5, 2, 3, 3, 4, 4, 5, 3, 4, 2, 3, 5, 4, 4, 4, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4], "629": [1, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 2, 2, 2, 3, 2, 3, 4, 5, 5, 4, 1, 5, 3, 5, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 2, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 2, 4, 4, 1, 3, 3, 2, 4, 4, 3, 4, 4, 4, 5, 4, 2, 4, 2, 4, 5, 3, 3, 5, 3, 3, 3, 3, 2, 5, 4, 3], "3606": [3, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5], "1063": [4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 2, 5, 3, 3, 5, 4, 3, 5, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 3, 2, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4], "4226": [2, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 2, 2, 4, 4, 3, 4], "4382": [3, 4, 5, 5, 1, 4, 5, 5, 3, 4, 4, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 4, 2, 3, 2, 4, 2, 5, 3, 4, 2, 2, 3, 3, 4, 2, 2, 3, 4, 2, 3, 3, 2, 2, 3, 2, 1, 1, 2, 3, 1, 3, 2, 3, 1, 5, 2, 2, 4, 4, 3, 3, 2, 3, 2, 3, 3, 2, 2, 3, 1, 2, 2, 1, 2, 5], "388": [4, 5, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 4, 5, 3, 3, 3, 4, 4, 4, 2, 5, 5, 4, 5, 3, 1, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 5, 5, 4, 1, 5, 4, 3, 4, 4, 4, 3, 5, 4, 3, 3, 5, 5, 3, 5, 5, 4, 5], "4857": [3, 4, 3, 4, 4, 2, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 1, 5, 2, 3, 3, 4, 5, 4, 4, 1, 1, 3, 3, 3, 4, 3, 3, 1, 4, 4, 2, 1, 4, 3], "2617": [3, 3, 4, 4, 3, 1, 4, 5, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 3, 5, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 2, 4, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 2, 4, 4, 3, 5, 3, 2, 3, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 3, 4, 4, 4], "2707": [2, 4, 2, 3, 4, 4, 5, 3, 2, 3, 3, 4], "4997": [1, 3, 5, 2, 5, 4, 3, 4, 1, 2, 4, 5, 3, 4, 4, 4, 2, 3, 4, 4, 5, 4, 5, 3, 2, 3, 4, 1, 4, 5, 4, 4, 5, 1, 5, 1, 4, 2, 1, 1, 1, 5, 5, 1], "1307": [4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5], "366": [5, 5, 4, 3, 5, 5, 4, 5, 3, 5, 3, 3, 3, 3, 3, 4, 4, 1, 5, 3, 5, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 5, 5, 4, 4, 2, 4, 5, 5, 5, 3, 5, 5, 3, 5, 4, 4, 5, 5, 4, 3, 5, 3, 5, 3, 3, 5, 5, 4, 5, 3, 4, 4, 5, 2, 4, 5, 5, 4, 3, 4, 5, 3, 3, 5, 5, 2, 3, 5, 3, 3, 5, 3, 2, 5, 4, 4, 4, 2, 3, 3, 4, 5, 5, 3, 1, 4, 5, 5, 3, 4, 2, 3, 3, 2, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 2, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 3, 4, 5, 3, 4, 3, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 3, 5, 4, 5, 3, 5, 4, 3, 4, 5, 3, 4, 5, 2, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 3, 5, 4, 2, 2, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 3, 3, 4, 5, 5, 5, 5, 4, 5, 4, 3, 5, 3, 5, 5], "2530": [3, 3, 5, 2, 5, 2, 5, 5, 5], "4193": [4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 2, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 5, 4, 3, 3, 2, 5, 3, 5, 2, 2, 3, 5, 2, 4, 5, 4, 5, 4, 4, 2, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 1, 4, 4, 2, 4, 4, 3, 4, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 4, 4, 5, 4, 1, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 5, 2, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 1, 5, 3, 4, 4, 3, 1, 2, 2, 4, 3, 1, 3, 3, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 3, 5, 4, 4, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 4, 3, 3, 5, 5, 5, 4, 3, 3, 4, 3, 3, 3, 4], "906": [5, 5, 2, 5, 1, 5, 3, 5, 4, 5], "4296": [3, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 3, 5, 5, 5, 3, 3, 3, 5, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 5], "4960": [3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4], "2023": [4, 3, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 5, 3, 3, 2, 3, 5, 3, 5, 4, 3, 3, 3, 5, 3, 5, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 4, 5, 4, 2, 5, 2, 4, 4, 3, 4, 5, 4, 3, 2, 4, 4, 4, 2, 5, 5, 5, 4, 1, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 2, 5, 3, 3, 4, 5, 5, 2, 4, 3, 3, 4, 3, 5, 1, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 2, 5, 2, 5, 3, 4, 3, 5, 5, 1, 3, 5, 4, 5, 4, 4, 1, 4, 5, 5, 5, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 2, 3, 3, 2, 3, 5, 5, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 2, 5, 5, 4, 4, 3, 2, 3, 1, 3, 4, 5, 2, 5, 5, 5, 5, 5, 1, 5, 1, 5, 4, 4, 4, 3, 5, 3, 3], "4664": [3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5], "4691": [3, 3, 5, 3, 5, 4, 4, 4, 2, 3, 5, 3, 5, 2, 4, 4, 3, 2, 5, 4, 3, 4, 2, 4, 5, 3, 3, 4, 4, 4, 1, 3, 5, 5, 4, 5, 2, 4, 3, 1, 2, 3, 4, 5, 3, 4, 4, 5, 3, 1, 3, 4, 4, 3, 4, 5, 5, 2, 4], "3470": [4, 5, 3, 5, 1, 5, 3, 3, 5, 2, 4, 3, 4, 3, 5, 4, 4, 5, 2, 4, 2, 5, 5, 5, 3, 4, 1, 5, 1, 4, 3, 4, 5, 5, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 5, 2, 3, 5, 2, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4], "1943": [5, 3, 1, 5, 1, 1, 5, 5, 5, 3, 3, 2, 5, 4, 2, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 1, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 4, 4, 2, 4, 1, 4, 4, 4, 4, 2, 3, 4, 4, 4, 1, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 5, 3, 3, 1, 4, 5, 4, 3, 3, 4, 4, 4, 5, 1, 4, 3, 1, 2, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 5, 4, 1, 4, 3, 3, 4, 1, 3, 5, 1, 3, 5, 3, 4, 4, 4, 4, 2, 5, 5, 5, 4, 5, 5, 1, 4, 4, 1, 4, 2, 4, 3, 4, 5, 4, 4, 2, 1, 3, 3, 2, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 1, 5, 3, 1, 3, 5, 3, 3, 3, 2, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 3, 1, 5, 4, 1, 4, 4, 5, 4, 4, 1, 4, 5, 2, 3, 4, 3, 5, 4, 3, 2, 2, 1, 4, 5, 5, 5, 5, 4, 3, 3, 3, 3, 5, 3, 4, 4, 4, 2, 5, 4, 5, 3, 5, 4, 3, 4, 2, 3, 2, 5, 5, 4, 2, 5, 5, 4, 2, 4, 2, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 3, 4, 1, 1, 2, 5, 4, 1, 4, 5, 3, 4, 4, 4, 4, 3, 2, 3, 4, 3, 2, 4, 3, 1, 5, 5, 3, 4, 2, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 3, 3, 3, 4, 4, 3, 4, 1, 4, 5, 5, 2, 4, 4, 1, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 2, 4, 3, 4, 4, 3, 2, 4, 3, 3, 5, 4, 3, 1, 5, 4, 1, 5, 3, 4, 2, 3, 3, 3, 2, 2, 2, 4, 5, 4, 5, 1, 2, 4, 3, 4, 3, 3, 4, 1, 5, 2, 5, 4, 4, 5, 3, 1, 4, 3, 2, 4, 2, 5, 4, 2, 1, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 2, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 3, 2, 3, 5, 5, 4, 5, 1, 3, 4, 2, 3, 3, 5, 3, 5, 3, 3, 5, 5, 3, 4, 4, 1, 4, 2, 4, 1, 3, 5, 4, 2, 3, 4, 5, 5, 4, 2, 3, 4, 3, 5, 4, 4, 1, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3], "3341": [2, 5, 5, 3, 3, 5, 1, 5, 5, 4, 5, 2, 5, 5, 4, 4, 5, 3, 2, 4, 3, 5, 4, 5, 5, 5, 1, 5, 3, 3, 4, 3, 5, 4, 5, 2, 2, 4, 5, 3, 4, 1, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 1, 5, 2, 3, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 2, 4, 5, 5, 3, 3, 4, 5, 1, 2, 3, 5, 4, 4, 5, 4, 5, 5, 3, 3, 1, 3, 5, 5, 3, 5, 5, 5, 4, 5, 2, 5, 3, 4, 5, 5, 3, 3], "361": [5, 5, 4, 4, 2, 2, 2, 5, 1, 2, 2, 3, 4], "1629": [5, 5, 2, 3, 4, 5, 2, 3, 5, 4, 1, 4, 3, 3, 1, 2, 5, 4, 3, 4, 3, 3, 5, 3, 4, 5, 4, 1, 2, 5, 4, 5, 4, 4, 3, 2, 4, 4, 4, 3, 3, 3], "65": [4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 1, 4, 3, 4, 4, 5], "5645": [5, 2, 5, 5, 4, 5, 4, 3, 5, 4, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 5, 4, 4, 5, 2, 4, 3, 3, 5, 4, 5, 5, 4, 4, 2, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 2, 4, 5, 5, 4, 2, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 3, 2, 3, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 5, 1, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 2, 5, 2, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 3, 3, 4, 3, 4, 5, 2, 4, 2, 4, 5, 5, 4, 5, 5, 2, 5, 3, 4, 4, 5, 5, 5, 4], "2718": [4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 2, 4, 3, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 3, 2, 5, 3, 2, 4, 4, 3, 5, 4, 3, 4, 3, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 4, 2, 5, 4, 4, 3, 2, 3, 4, 3, 5, 4, 2, 3, 4, 3, 4, 4, 4, 4], "1475": [1, 3, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 1, 4, 5, 3, 5, 5, 5, 3, 4, 5, 5, 1, 5, 3, 5, 5, 3, 1, 4, 4, 1, 2, 5, 3, 1, 5, 5, 5, 5, 2, 3, 5, 5, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4], "1064": [4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 2, 5, 3, 2, 2, 4, 4, 4, 3, 4, 5, 2, 5, 2, 4, 3, 4, 4, 5, 4, 5, 2, 3, 4, 2, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 2, 3, 4, 2, 5], "1583": [1, 4, 4, 1, 4, 3, 5, 5, 2, 2, 4, 5, 5, 3, 4, 5, 5, 3, 3, 4, 4, 3, 4, 5], "5921": [4, 4, 5, 3, 5, 5, 4, 5, 4, 2, 1, 4, 5, 2, 4, 3, 2, 5, 3, 3, 4, 4, 3, 5, 4, 1, 4, 2, 3, 4, 4, 3, 4, 4, 4, 1, 2, 4], "1565": [4, 4, 4, 5, 3, 1, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4], "2687": [5, 3, 5, 5, 4, 3, 4, 5, 3, 3, 4, 5, 4, 5, 4, 5, 5], "2791": [5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 3, 4, 5], "2316": [4, 3, 4, 4, 4, 4, 5, 5, 2, 4, 3, 4, 3, 2, 5, 4, 5, 4, 5, 4, 2, 4, 5, 5, 3, 2, 3, 5, 3, 5, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 2, 4, 5, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 5, 5, 3, 4, 4, 3, 5, 5, 4, 4, 5, 2, 5, 4, 3, 3, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 2, 5, 5, 5, 4, 3, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4], "5197": [3, 3, 4, 1, 1, 4, 4, 4, 3, 5, 3, 5, 5, 5, 4, 3, 5, 3, 3, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 5, 3, 5, 5, 4, 3, 2, 1, 4, 5, 3, 2, 4, 2, 5, 1, 3, 3, 4, 3, 3, 4, 3, 1, 3, 3, 5, 1, 4, 5, 4, 3, 4, 4, 3, 5, 5, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 5, 3, 4, 3, 4, 3, 1, 3, 3, 5, 4, 3, 4, 5, 5, 1, 4, 4, 5, 3, 3, 4, 4, 4, 5, 3, 4, 4, 2, 1, 4, 4, 2, 5, 4, 4, 5, 3, 3, 4, 3], "3202": [4, 5, 2, 4, 4, 4, 5, 2, 4, 1, 4, 4, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 1, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 5, 3, 4, 3, 3, 4, 3, 1, 5, 3, 3, 4, 3, 3, 4, 5, 4, 2, 4, 4, 3, 2, 2, 5, 4, 2, 4, 4, 4, 3, 4, 3, 5, 1, 5, 4, 4, 5, 5, 4, 2, 2, 3, 3, 5, 3, 3, 4, 3, 2, 4, 3, 3, 3], "2145": [5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 1, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 3, 1, 2, 5, 5, 3, 3, 4, 1, 5, 4, 5, 3, 1, 1, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 5, 1, 5, 3, 3, 3, 3, 4, 2, 5, 2, 5, 3, 5, 4, 5, 5, 5, 5, 2, 4, 5, 5, 2, 5, 2, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 1, 4, 4, 3, 5, 5, 5, 4, 3, 3, 5, 4, 5, 1, 3, 3, 4, 4, 4, 2, 5, 4, 5, 4, 2, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 2, 5, 4, 5, 2, 2, 1], "815": [5, 5, 4, 5, 3, 5, 2, 5, 4, 2, 4], "162": [5, 5, 5, 5, 5, 5, 4, 4, 2, 3, 5, 5, 4, 5, 5, 4, 2, 5, 4, 4, 5, 2, 5, 5, 2, 4, 4, 5, 5, 4, 3, 4, 3, 3, 5, 4, 5, 3, 4, 5, 3, 4, 5, 5, 5, 2, 5, 5, 3, 5, 2, 4, 5, 4, 4, 5, 4, 5, 5], "2486": [5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 3, 4, 5, 3, 3, 4, 4, 5, 4, 4, 3, 2, 4, 2, 5, 5, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 2, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 2, 5, 5, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 5, 3, 3, 4, 5, 3, 4, 3, 4, 2, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 2, 5, 1, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5], "5289": [3, 5, 5, 2, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 1, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 3, 5, 2, 4, 2, 5, 3, 3, 2, 2, 4, 4, 4, 4, 4, 1, 3, 5, 4, 2, 5, 4, 4, 3, 3, 5, 4, 4, 5, 3, 5, 4, 3, 3, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 1, 2, 3, 4, 4, 5, 4, 2, 4, 5, 3, 4, 3, 4, 4, 4, 2, 3, 4, 1, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 2, 2, 3, 2, 3, 3, 4, 5, 4, 5, 5, 2, 5, 3, 5, 3, 4, 5, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 4, 3, 5, 3, 2, 5, 4, 4, 5, 5, 3, 4, 3, 2, 5, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 3, 4, 4, 5, 3, 4, 2, 5, 5, 5, 5], "137": [4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 2, 4], "1861": [3, 3, 2, 3, 3, 5, 4, 3, 2, 4, 4, 4, 4, 3, 2, 4, 3, 5, 2, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 2, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 2, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 2, 4, 4, 3, 2, 4, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 3, 2, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 4, 2, 3, 2, 2, 2, 3, 5, 4, 3, 3, 4, 4, 2, 4, 2, 3, 4, 3, 2, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 2, 4, 5, 5, 5, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 2, 2, 2, 2, 4, 5, 4, 3, 3, 3, 3, 4, 3, 2, 5, 4, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3], "2383": [4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 1, 4, 4, 4, 3, 2, 4, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 1, 4, 5, 1, 2, 4, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 4, 3, 4, 2, 2, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 2, 4, 5, 3, 4, 5, 4, 4, 2, 4, 4, 5, 4, 4, 4, 1, 2, 3, 1, 3, 4, 4, 3, 3, 4, 5, 4, 4, 3, 5, 1, 4, 4, 2, 4, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 2, 2, 4, 4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 4, 3, 3, 4, 1, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 2, 4, 2, 2, 2, 4, 2, 3, 4, 3, 2, 2, 5, 4, 4, 4, 2, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 2, 3, 4, 4, 1, 3, 2, 3, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 3, 4, 1, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4], "1469": [5, 4, 4, 5, 5, 3, 4, 4, 4, 1, 4, 4, 5, 3, 5, 5, 3, 5, 2, 5, 5, 4, 4, 3, 2, 4, 5, 4], "5370": [4, 5, 2, 3, 4, 1, 2, 3, 3], "3308": [4, 4, 1, 1, 4, 1, 1, 1, 3, 4, 2, 5, 4, 2, 3, 5, 5, 5, 5, 3, 1, 4, 5, 5, 4, 5, 3, 1, 5, 5, 5, 4, 3, 3, 5, 3, 4, 4, 5, 5, 1, 4, 4, 5, 3, 1, 4, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 4, 1, 3, 4, 3, 5, 3, 2, 1, 5, 3, 5, 4, 4, 5, 2, 1, 1, 5, 3, 2, 3, 3, 4, 1, 2, 2, 2, 3, 3, 1, 1, 1, 4, 5, 5, 3, 2, 5, 3, 1, 1, 1, 3, 5, 5, 5, 1, 3, 2, 5, 3, 3, 2, 2, 2, 3, 2, 2, 4, 5, 4, 2, 5, 3, 4, 2, 5, 2, 3, 2, 3, 1, 5, 2, 3, 4, 2, 1, 2, 4, 2, 3, 3, 2, 3, 3, 3, 1, 3, 3, 2, 2, 2, 2, 3, 1, 2, 5, 2, 4, 5, 3, 2, 5, 5, 2, 4, 3, 2, 1, 1, 1, 1, 3, 2, 3, 1, 5, 5, 5, 3, 2, 3, 2, 2, 4, 3, 1, 3, 5, 4, 5, 5, 5, 3, 5, 4, 4, 4, 4, 3, 3, 4, 5, 3, 1, 1, 1, 4, 5, 3, 4, 2, 2, 5, 3, 3, 2, 5, 5, 3, 1, 1, 2, 2, 3, 4, 5, 5, 3, 2, 3, 3, 4, 4, 5, 1, 3, 1, 2, 5, 4, 1, 4, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 5, 3, 4, 1, 4, 3, 5, 4, 5, 5, 1, 1, 3, 3, 1, 1, 1, 1, 4, 5, 3, 2, 1, 3, 2, 3, 5, 5, 5, 3, 3, 5, 4, 5, 3, 3, 1, 4, 3, 4, 5, 2, 5, 5, 5, 3, 5, 3, 5, 5, 2, 4, 5, 5, 1, 5, 4, 2, 5, 5, 1, 5, 3, 1, 3, 4, 4, 3, 5, 1, 2, 1, 1, 4, 2, 5, 5, 3, 3, 2, 5, 2, 1, 3, 3, 2, 2, 2, 3, 5, 2, 2, 3, 3, 4, 3, 5, 3, 4, 4, 4, 5, 1, 1, 3, 3, 2, 1, 1, 5, 3, 3, 2, 4, 4, 5, 4, 3, 1, 1, 2, 5, 4, 1, 1, 3, 5, 1, 3, 3, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 1, 1, 2, 4, 3, 1, 5, 5, 4, 1, 1, 1, 5, 3, 3, 1, 4, 2, 1, 3, 4, 5, 2, 1, 3, 2, 3, 3, 4, 2, 4, 3, 4, 2, 2, 1, 2, 3, 5, 3, 3, 3, 1, 5, 3, 3, 5, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 3, 4, 2, 2, 4, 1, 1, 4, 2, 5, 5, 3, 1, 1, 5, 1, 3, 1, 3, 2, 1, 3, 1, 4, 3, 5, 1, 5, 2, 2, 5, 2, 2, 5, 5, 5, 3, 5, 4, 2, 5, 5, 5, 2, 5, 5, 1, 4, 3, 3, 4, 2, 3, 5, 4, 4, 3, 4, 4, 1, 3, 4, 3, 5, 3, 3, 3, 4, 5, 2, 2, 3, 3, 3, 4, 5, 2, 3, 3, 5, 3, 5, 5, 1, 4, 3, 1, 3, 3, 2, 4, 5, 3, 2, 4, 2, 2, 5, 3, 1, 5, 4, 5, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 2, 3, 1, 4, 5, 4, 5, 2, 4, 3, 3, 3, 4, 2, 1, 3, 5, 3, 4, 3, 5, 3, 4, 4, 5, 3, 1, 3, 4, 5, 4, 1, 4, 3, 2, 3, 5, 5, 2, 3, 3, 5, 2, 1, 4], "4930": [5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 2, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 5, 5, 4, 5, 5, 3, 3, 2, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3], "3353": [4, 3, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 2, 2, 5, 5, 4, 4, 3, 5, 4, 5, 4, 2, 4, 3, 3, 5, 4, 3, 4, 5, 1, 1, 4, 5, 1, 3, 3, 3, 2, 5, 3, 2, 1, 1, 5, 4, 4, 4, 3, 4, 2, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 5, 4, 3, 3, 2, 3, 3, 1, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 5, 4, 2, 3, 4, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 5, 5, 2, 4, 1, 4, 4, 5, 5, 3, 4, 5, 5, 4, 2, 4, 4, 3, 2, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 1, 4, 5, 5, 5, 3, 3, 5, 3, 5, 3, 4, 5, 3, 5, 3, 4, 4], "243": [1, 4, 4, 5, 5, 4, 3, 2, 2, 3, 4, 5, 4, 5, 5, 3, 3, 3, 2, 4, 4, 5, 1, 4, 3, 5, 4, 5], "3684": [4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 2, 4, 3, 5, 5, 5, 3, 5, 5, 4, 5, 2, 1, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 2, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5], "5988": [1, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 3, 4, 2, 3, 4, 4, 5, 3, 4, 2, 4, 3, 3, 2, 4, 4, 2, 3, 4, 4, 3, 2, 5, 2, 3, 5, 4, 4, 4, 3, 2, 2, 3, 3, 3, 4, 3, 5, 4], "5696": [5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 4, 4, 5], "1553": [5, 4, 5, 5, 3, 2, 4, 3, 1, 3, 1, 3, 5, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 2, 4, 5, 5, 4, 3, 2], "2213": [5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 3, 3, 3, 5, 2, 5, 3, 2, 5, 3, 1], "1759": [3, 3, 5, 5, 4, 5, 3, 4, 3, 5, 3, 3, 4, 5, 2, 4, 3, 4, 3, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 5, 2, 3, 2, 4, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 1, 1, 4, 4, 4, 3, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 2, 5, 4, 5, 4, 4, 5, 3, 4, 3, 5, 4, 3, 5, 4, 5, 2, 5, 5, 4, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4, 3, 4, 2, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 5, 5, 3, 4, 3, 3, 5, 3, 5, 5, 4, 4, 3, 4, 5, 5, 3, 5, 5], "2175": [3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 3, 5, 3, 4, 3, 2, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 1, 3, 3, 3, 5, 5, 4, 3, 3, 2, 4, 3, 4, 3, 5, 2, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 3, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 3, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 4, 3, 5, 5, 3, 3, 3, 4, 5, 4], "44": [5, 2, 4, 3, 5, 2, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 3, 5, 4, 3, 5, 5, 4, 4, 5, 2, 4, 5, 1, 3, 4, 5, 5, 5, 3, 2, 4, 2, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 5, 5, 3, 5, 1, 5, 5, 4, 3, 4, 5, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 5, 4, 1, 1, 1, 1, 1, 3, 4, 5, 4, 4, 3, 5, 5, 5, 1, 1, 4, 2, 2, 5, 4, 4, 3, 4, 4, 4, 5, 2, 2, 5, 4, 5, 4, 3, 4, 3, 4, 1, 3, 3, 2, 4, 5, 2, 4, 4, 4, 4, 1, 1, 4, 1, 4, 3, 4, 4, 4, 5, 5, 2, 5, 3, 3, 3, 5, 3, 5, 2, 5, 4, 3, 1, 4], "688": [4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 5, 4, 3, 4, 5, 3, 4], "5003": [4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4], "2908": [1, 4, 5, 4, 3, 3, 5, 3, 5, 4, 3, 1, 5, 5, 2, 5, 5, 4, 5], "2958": [3, 4, 4, 3, 2, 2, 4, 2, 4, 3, 4], "5141": [5, 4, 3, 4, 3, 5, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 2, 1, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5], "1561": [4, 4, 5, 4, 3, 2, 2, 5, 3, 4, 3, 3, 5, 4, 2, 5, 5, 5, 2, 5, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 2, 4, 4, 2, 5, 5, 2, 4, 3, 3, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 2, 5, 4, 4, 4, 4, 3, 2, 5, 3, 5, 2, 4, 4, 3, 4, 4, 5, 5, 3, 5, 5, 5], "3281": [4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 4, 3, 4, 5, 4, 3, 5, 2, 5, 4, 5, 3, 4, 5, 3, 2, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 3, 4, 2, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 3, 5, 5, 3, 2, 3, 4, 4, 4, 5, 3, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 4, 4], "1976": [5, 5, 4, 3, 5, 3, 5, 4, 5, 5, 5, 3, 5, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 2, 3, 4, 5, 3, 5, 3, 3, 5, 3, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 3, 2, 4, 3, 3, 4, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 5], "579": [4, 3, 4, 4, 4, 4, 1, 4, 4, 5, 1, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 1, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 4, 4], "478": [5, 5, 5, 5, 3, 4, 3, 3, 5, 4, 3, 5, 5, 1, 4, 5, 3, 4, 2, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 5, 5, 5, 3], "4258": [5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 2, 5, 3, 4, 3, 4, 4, 5, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 1, 4, 4, 2, 3, 4, 4, 5, 5, 4, 1, 3, 2, 3, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 4, 5, 3, 3, 4, 4, 2, 5, 4, 2, 3, 2, 4, 3, 3, 4, 2, 4, 3, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 5, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 2, 5, 4, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 2, 4, 4, 5, 2, 2, 4, 3, 4, 5, 3, 3, 3, 4, 3, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 2, 4, 5, 3, 4, 5, 2, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 2, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 2, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 4, 3, 3, 4, 5, 3, 4, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 3, 5, 4, 1, 3, 4, 5, 4, 2, 5, 3, 4, 2, 3, 3, 3, 2, 5, 3, 3, 5, 4, 4, 3, 4, 2, 3, 5, 5, 2, 3, 3, 4, 4, 3, 5, 3, 5, 4, 1, 4, 4, 3, 5, 5, 3, 3, 3, 3, 5, 5, 2, 5, 4, 3, 4, 2, 3, 4, 5, 3, 3, 3, 4, 3, 4, 5, 2, 3, 5, 5, 3, 3, 5, 3], "706": [3, 5, 4, 3, 4, 3, 3, 2, 4, 3, 4, 3, 5, 4, 3, 5, 3, 4, 2, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 4, 1, 5, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 5, 5, 4, 3, 3, 5, 4, 2, 3, 2, 4, 4, 3, 3, 4, 3, 3, 1], "1787": [4, 4, 4, 4, 2, 4, 1, 3, 2, 3, 5, 3, 5, 5, 3], "256": [5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 3, 4, 2, 3, 4, 3, 2, 3, 5, 4, 3, 3, 3, 4, 5, 3, 5, 5, 5, 2, 4, 5, 5, 2, 5, 4, 1, 3, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 5, 3, 4, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 5, 5, 2, 2, 4, 4, 5, 5, 3, 4, 5, 5], "684": [5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 5], "5721": [5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 3, 4, 4, 5, 4, 3, 2, 4, 4, 3, 2, 5, 2, 5, 4, 3, 3, 4, 2, 5, 5, 5, 4, 3, 3, 3, 5, 2, 4, 4, 4, 2, 4, 3], "141": [3, 5, 5, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 1], "887": [3, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 3, 3, 4, 4, 2, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 5, 5, 3, 4, 4, 5, 2, 4, 3, 3, 5], "3762": [3, 4, 3, 1, 5, 5, 3, 4, 4, 1, 5, 5, 3, 4, 3, 5, 5, 3, 5, 3, 1, 1, 1, 4, 2, 1, 3, 5, 1, 3, 3, 2, 3, 3, 3, 5, 3, 4, 4, 4, 1, 3, 2, 1, 4, 5, 3, 2, 2, 3, 4, 5, 2, 1, 5, 2, 4, 2, 2, 2, 3, 4, 2, 2, 1, 2, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 1, 2, 3, 3, 5, 5, 3, 4, 4, 5, 3, 3, 2, 5, 2, 4, 5, 5, 2, 5, 5, 5, 2, 5, 5, 1, 1, 5, 2, 5, 4, 3, 4, 5, 3, 3, 1, 1, 3, 3, 2, 2, 4, 3, 5, 2, 1, 3, 4, 3, 2, 1, 1, 3, 5, 2, 2, 3, 1, 1, 1, 1, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 1, 4, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 5, 5, 5, 2, 4, 1, 3, 2, 1, 1, 4, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 1, 4, 2, 3, 4, 5, 1, 4, 2, 2, 1, 1, 2, 5, 3, 5, 4, 1, 4, 1, 3, 3, 1, 2, 1, 2, 3, 2, 3, 3, 1, 4, 5, 2, 1, 5, 3, 5, 4, 2, 3, 5, 1, 1, 1, 2, 1, 1, 1, 4, 1, 3, 3, 2, 3, 2, 3, 3, 3, 2, 4, 2, 2, 2, 3, 3, 3, 5, 3, 4, 3, 3, 1, 3, 2, 2, 2, 5, 3, 2, 1, 1, 2, 4, 3, 5, 3, 3, 2, 1, 3, 1, 3, 4, 3, 1, 3, 2, 4, 4, 2, 1, 1, 5, 1, 3, 3, 1, 1, 1, 4, 1, 3, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 1, 4, 4, 1, 4, 3, 1, 1, 3, 1, 1, 5, 1, 1, 4, 4, 2, 5, 2, 3, 1, 3, 5, 2, 3, 1, 1, 3, 5, 3, 5, 5, 5, 2, 1, 3, 5, 2, 3, 3, 2, 3, 3, 2, 3, 4, 1], "957": [5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 2, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 2, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4], "2726": [4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 1, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5], "4414": [5, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 1, 4, 2, 4, 3, 5, 1, 3, 3, 3, 3, 5, 2, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 3, 1, 4, 5, 1, 4, 3, 4, 2, 3, 2, 5, 2, 5, 3, 3, 3, 4, 3, 2, 3, 5, 3, 4, 5, 1, 4, 3, 3, 3, 3, 5, 2, 2, 3, 2, 3, 1, 5, 3, 1, 3, 3, 1, 5, 5, 4, 3, 3, 5, 4, 3, 5, 3, 2, 2, 4, 3, 3, 5, 4, 4, 4, 4], "3803": [3, 2, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4], "2993": [5, 4, 5, 2, 5, 3, 5, 5, 4, 5, 5, 4, 4, 1, 3, 5, 3, 2, 5, 4, 1, 5, 4, 3, 5, 4, 2, 5, 5, 4, 2, 5, 5, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 3, 3, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3], "4863": [4, 4, 2, 5, 2, 4, 4, 5, 4, 5, 5, 2, 5, 4, 3, 2, 2, 4, 4, 5, 2, 4, 5, 4], "2902": [3, 5, 4, 3, 4, 3, 5, 5, 4, 3, 5, 2, 5, 3, 4], "4309": [4, 4, 4, 4, 3, 4, 4, 3, 3, 2, 1, 3, 3, 3, 5, 3, 5, 4, 5, 5, 5, 3, 5, 3, 3, 5, 3, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 3, 5, 3, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5], "1061": [5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 2, 5, 5, 1, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 2, 5, 4, 3, 2, 3, 4, 5], "3434": [4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 2, 5, 1, 5, 2, 5, 3, 3, 5, 4, 5, 3, 3, 4, 5, 5, 2, 1, 4, 4, 1, 4, 4, 3, 1, 5, 4, 4, 5, 2, 5, 5, 1, 4, 2, 4, 5, 4, 5, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 1, 4, 2, 4, 2, 2, 4, 5, 4, 3, 3, 5, 2, 5, 4, 2, 2, 1, 5, 3, 5, 4, 2, 5, 2, 3, 2, 3, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 1, 3, 4, 5, 3, 3, 2, 2, 2, 4, 2, 4, 3, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 3, 4, 1, 4, 3, 3], "399": [5, 4, 5, 5, 4, 5, 5, 5, 4], "5832": [2, 4, 4, 4, 4, 4, 3, 2, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 5, 5, 4, 5, 5], "1081": [4, 5, 4, 5, 4, 5, 3, 4, 1, 4, 3, 4, 5, 3, 4, 5, 5, 5, 1, 5, 5, 4], "630": [4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 3, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5], "402": [4, 4, 2, 4, 4, 4, 2, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 2, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 3, 5, 5, 4, 4, 1, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 5, 1, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 2, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 2, 4, 5, 4, 4, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4], "2373": [5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 2, 3, 3], "3429": [4, 5, 4, 4, 1, 5, 5, 4, 4, 3, 3, 5, 1, 2, 3, 3, 4, 5, 4, 4], "1824": [2, 4, 3, 5, 4, 4, 4, 3, 4, 5, 2, 4, 2, 3, 3, 4, 4, 3, 4, 2, 3, 2, 4, 2, 4, 3, 2, 5, 4, 1, 5, 3, 4, 4, 3, 3, 3, 5, 4, 4, 5, 5, 4, 3, 5, 4, 3, 4, 4, 5, 4, 2, 4, 5, 1, 5, 1, 4, 3, 5, 5, 2, 2, 1, 2, 5, 5, 4, 3, 1, 4, 3, 4, 1, 4, 3, 4, 3, 4, 4, 1, 3, 3, 3, 3, 3, 3, 1, 5, 5, 4, 2, 3, 5, 4], "3899": [4, 4, 5, 5, 2, 4, 4, 3, 4, 3, 5, 3, 2, 5, 3, 5, 2], "100": [2, 5, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 5, 4, 1, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 2, 5, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3], "471": [5, 5, 5, 5, 1, 5, 3, 3, 5, 2, 5, 4, 5, 5, 5, 4, 5, 2, 3, 4, 3, 5, 3, 2, 2, 3, 3, 2, 5, 4, 5, 2, 2, 4, 5, 3, 4, 3, 3, 5, 4, 5, 2, 2, 2, 1, 3, 1, 5, 4, 3, 5, 4, 2, 4, 5, 4, 5, 5, 3, 2, 2, 4, 2, 5, 3, 5, 3, 4, 4, 5, 4, 5, 5, 5, 2, 4, 3, 3, 5, 5, 4, 4, 5, 4, 2, 4, 2], "4762": [4, 5, 5, 4, 5, 5, 4, 5, 4, 2, 4, 5, 4, 1, 5, 1, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5], "2132": [4, 3, 2, 1, 1, 2, 5, 3, 1, 1, 3, 4, 3, 3, 4, 2, 2, 2, 2, 3, 3, 2, 4, 2, 1, 2, 3, 1, 3, 1, 3, 3, 5, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 4, 3, 2, 2, 3, 5, 4, 3, 5, 4, 5, 4, 1, 2, 3, 2], "1690": [5, 3, 3, 1, 4, 3, 2, 5, 3, 4, 3, 2, 5, 3, 5, 4, 1, 3, 4, 3, 4, 3, 3, 2, 5, 5, 2, 5, 2, 4, 2, 2, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 2, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 2, 4, 2, 4], "4634": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5], "1273": [4, 3, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 2, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 5, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 2, 4, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5], "2259": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 3, 4, 2, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 2, 1, 4, 4, 5, 4, 3, 5], "1463": [2, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 3], "5474": [3, 4, 4, 5, 4, 3, 5, 4, 4, 2, 4, 3, 3, 3, 2, 3, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 2, 5, 3, 5, 4, 4, 5, 2], "996": [3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 1, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 2, 5, 2, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 2, 2, 3, 3, 4, 3, 3, 3, 4, 5, 4, 2, 5, 4, 5, 3, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 5, 5, 5, 2], "580": [5, 4, 3, 3, 1, 3, 5, 3, 2, 5, 3, 3, 4, 4, 4, 5, 3, 1, 3, 5, 4, 4, 4, 1, 5, 4, 1, 2, 5, 4, 2, 4, 3, 5, 4, 1, 4, 2, 5, 4, 1, 1, 4, 5, 5], "993": [3, 3, 5, 2, 4, 2, 4, 5, 4, 3, 5, 5, 5, 3, 5, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 3, 4], "441": [3, 5, 3, 5, 5, 5, 4, 2, 2, 4, 3, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 2, 5, 4, 3, 5, 4, 3, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3], "4971": [4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 3, 5, 3, 5, 4, 4, 5, 4, 3], "4629": [3, 4, 3, 3, 2, 4, 3, 4], "1236": [3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 2, 5, 4, 3, 4, 3, 3, 3, 3, 2, 3], "3511": [4, 4, 4, 5, 3, 3, 3, 5, 4, 5, 4, 4, 3, 4, 5, 3, 3, 4, 3, 5, 5, 4, 5, 5, 2, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 1, 4, 4, 2, 4, 5, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 2, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 5, 5, 4, 4, 2, 3, 2, 5, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 3, 3, 5, 4, 2, 3, 2, 2, 5, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 5], "3618": [3, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 3, 2, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 5, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 4, 3, 1, 2, 3, 3, 2, 3, 2, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 4, 2, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 1, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 1, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 2, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 3, 3, 2, 2, 3, 3, 5, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 5, 3, 4, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 1, 3, 4, 3, 1, 4, 5, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 3, 3, 4, 3, 3, 3, 3, 4, 2, 5, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 2, 2, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 5, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 2, 2, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 5, 2, 3, 2, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 2, 3, 3, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 4, 1, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 4, 4, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 2, 4, 3, 3, 3, 4, 3, 5, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 2, 4], "3299": [4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 2, 3, 3, 1, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 2, 5, 4, 4, 5, 4, 4, 2, 4, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 2, 5, 1, 2, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 5, 5, 5, 3, 5, 5, 3, 3, 4, 4, 5, 4, 5, 1, 2, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 4, 2, 2, 3, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 4, 5, 3, 5], "665": [4, 4, 2, 4, 4, 5, 1, 2, 1, 3, 5, 5, 4, 5, 2, 5, 4, 2, 5], "2562": [5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 2, 5, 5, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 4, 4, 4, 5, 3, 3, 3, 3, 3, 2, 4, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 2, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 2, 4, 4, 4, 3, 5, 3, 4, 3, 4, 3, 2, 4, 4, 4, 5, 4, 4, 4, 5, 5, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4], "4842": [2, 5, 5, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 2, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 4, 2, 4, 5, 5, 4, 3], "1983": [4, 4, 1, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 1, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 2, 5, 4, 3, 2, 5, 5, 5, 4, 3, 5, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 4, 5, 5, 1, 5, 5, 3, 3, 3, 4, 3, 4, 5, 3, 5, 5, 1, 4, 5, 3, 4, 2, 4, 4, 5, 4, 3, 5, 4, 4, 2, 5, 1, 3, 5, 2, 1, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 3, 3, 3, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 3, 4, 4, 3, 4, 5, 4, 2, 4, 5, 3, 1, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 1, 4, 5, 4, 2, 5, 3, 3, 5, 3, 2, 1, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 4, 3, 3, 5, 4, 4, 5, 2, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 4, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 1, 1, 4, 4, 5, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 1, 3, 5, 3, 5, 5, 5, 4, 5, 3, 3, 3, 5, 4, 5, 5, 4, 3, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4], "3759": [4, 5, 2, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 1, 5, 5, 5, 3, 5, 2, 5, 5, 5, 3, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 1, 5, 3, 3, 4, 3, 4, 4, 2, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 4, 1, 4, 5, 5, 4, 4, 3, 5, 4, 5, 1], "365": [3, 3, 4, 5, 3, 4, 1, 1, 4, 3, 3, 5, 4, 4, 3, 4, 3, 3, 5, 2, 3, 3, 3, 3, 4, 3, 3], "1535": [5, 5, 5, 5, 4, 5, 1, 2, 5, 3, 1, 5, 5, 4, 4, 4, 5, 1, 1, 5, 5, 4, 3, 5, 2, 5, 5, 5], "3441": [2, 3, 3, 4, 5, 3, 5, 1, 4, 3, 3, 5, 4, 1, 5, 1, 2, 3, 5, 4, 1, 2, 2, 2, 3, 1, 5, 3, 2, 2, 3, 2, 5, 2, 4, 2, 2, 1, 3, 1, 4, 1, 3, 2, 3, 4, 3, 1, 1, 2, 1, 1, 4, 3, 2, 2, 2, 2, 2, 1, 2, 5, 4, 1, 3, 2, 2, 3, 3, 1, 4, 3, 1, 1, 4, 5, 2, 3, 4, 4, 1, 5, 1, 5, 5, 3, 4, 4, 1, 3, 4, 3, 1, 4, 4, 4, 2, 3, 1, 3, 1, 4, 4, 3, 5, 5, 4, 3, 4, 2, 1, 2, 2, 3, 3, 5, 1, 3, 3, 1, 2, 5, 1, 2, 3, 3, 3, 3, 3, 3, 4, 1, 1, 5, 1, 2, 2, 4, 4, 5, 1, 2, 1, 2, 5, 2, 2, 3, 5, 3, 3, 2, 5, 2, 3, 2, 4, 1, 3, 5, 4, 2, 4, 4, 3, 4, 4, 5, 1, 2, 3, 3, 2], "782": [3, 3, 5, 4, 3], "2805": [5, 4, 4, 2, 5, 5, 4, 4, 5, 3, 2, 3, 5, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 2, 3, 4, 4, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 1, 4, 4, 2, 3, 4, 5, 1, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 3, 2, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4], "457": [4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 2, 4, 3, 5, 4, 3, 3, 4, 4, 2, 1, 4, 3, 4, 1, 5, 4, 4, 3, 4, 5, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 5, 5, 3, 4, 4, 4, 4, 2, 3, 3, 5, 4, 4, 2, 3, 4, 4, 2, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4], "1338": [4, 5, 2, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 2, 3, 4, 4, 2, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 2, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 5, 5, 3, 4, 4, 1, 4, 4, 5, 4, 4, 2, 4, 4, 2, 2, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 4, 5, 4], "3229": [4, 5, 3, 2, 3, 1, 1, 2, 1, 5, 4, 1, 3, 4, 2, 4, 1, 5, 4, 5, 5, 4, 4, 1, 4, 5, 5, 1, 5, 3, 3, 1, 2, 1, 4, 1, 5, 1, 5, 3, 1, 5, 5, 4, 2, 1, 5, 1, 4, 4, 3, 3, 5, 3, 3, 4, 5, 2, 5, 5, 4, 1, 3, 1, 5, 5, 4, 5, 1, 2, 3, 3, 2, 4, 2, 5, 4, 1, 4, 4, 1, 4, 5, 3, 4, 1, 5, 2, 4, 4, 4, 2, 1, 5, 1, 5, 4, 4, 5, 1, 3, 5, 5, 3, 1, 4, 5, 5, 3, 2, 1, 2, 2, 4, 5, 3, 3, 1, 4, 4, 1, 4, 1, 4, 3, 4, 2, 5, 5, 5, 4, 1, 5, 1, 3, 3, 3, 4, 4, 2, 5, 4, 5, 5], "96": [4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 2, 3, 4, 1, 4, 3, 4, 3, 4, 2, 5, 5, 3, 5, 2, 5, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], "2881": [4, 4, 4, 3, 2, 5, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 3, 4, 2, 3, 5, 3, 2, 3, 2, 5, 4, 1, 4, 5, 4, 3, 2, 4, 3, 5, 5, 5, 5, 3, 2, 1, 5], "4401": [4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 4, 2, 3, 3, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 2, 4, 3, 5, 4, 5, 4, 2, 4, 5, 3, 2, 3, 4, 5, 5, 3, 3, 2, 4, 5, 4, 5, 4, 3, 2, 3, 4, 2, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 3, 2, 5, 5, 4, 2, 5, 4, 3, 4, 4, 5, 2, 5, 5, 4, 5, 4, 4, 2, 5, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 1, 4, 3, 3, 2, 5, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 5, 5, 4, 2, 2, 5, 4, 4, 2, 4, 5, 2, 3, 3, 5, 2, 3, 2, 5, 3, 4, 3, 5, 2, 5, 3, 4, 3, 3, 4, 5, 4, 4, 4], "404": [4, 5, 4, 3, 5, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 2, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5], "2328": [4, 3, 4, 4, 5, 1, 4, 3, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4], "1489": [2, 2, 2, 1, 4, 3, 5, 3, 2, 3, 4, 2, 2, 3, 3, 2, 5, 4, 2, 1, 3, 4, 3, 3, 5, 2, 2, 4, 4, 1, 3, 5, 2, 5, 2, 4, 4, 3, 4, 2, 2, 3, 3, 5, 1, 3, 4, 4, 4, 4, 4, 1, 5, 4, 3, 4, 4, 3, 5, 2, 5, 1, 3, 3, 4, 2, 2, 2, 1, 3, 1, 3, 4, 2, 1, 3, 4, 2, 2, 2, 2, 5, 5, 3, 1, 2, 3, 4, 5, 3, 2, 1, 4, 2, 2, 2, 4, 4, 5, 3, 1, 3, 1, 1, 3, 2, 1, 2, 1, 2, 3, 3, 1, 3, 4, 2, 1, 2, 2, 2, 3, 2, 1, 1, 2, 5, 5, 3, 3, 4, 3, 2, 1, 3, 1, 2, 1, 3, 3, 5, 4, 4, 3, 4, 2, 4, 5, 5, 5, 4, 4, 3, 5, 3, 2, 2, 5, 2, 4, 5, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 1, 2, 1, 3, 4, 3, 3, 4, 4, 5, 1, 1, 3, 4, 1, 3, 1, 2, 3, 3, 2, 5, 2, 3, 2, 2, 3, 4, 3, 2, 2, 1, 3, 3, 3, 3, 2, 2, 2, 2, 4, 2, 2, 2, 2, 3, 5, 1, 5, 3, 3, 4, 2, 2, 2, 1, 2, 1, 4, 3, 2, 4, 3, 3, 2, 2, 4, 3, 2, 4, 1, 4, 1, 1, 3, 4, 3, 2, 4, 2, 1, 2, 2, 4, 4, 2, 4, 4, 2, 2, 2, 2, 1, 1, 2, 3, 2, 3, 3, 4, 4, 2, 5, 2, 3, 1, 5, 5, 1, 1, 2, 2, 2, 3, 1, 4, 3, 2, 2, 3, 1, 5, 5, 4, 4, 2, 2, 2, 3, 1, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 3, 2, 4, 3, 5, 4, 3, 3, 3, 3, 1, 5, 1, 4, 4, 4, 4, 3, 2, 2, 1, 2, 2, 2, 1, 5, 3, 3, 4, 2, 4], "3523": [3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 5, 4, 3, 5, 4], "4710": [4, 5, 4, 4, 5, 1, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3, 2, 2, 3, 5, 4, 4, 4, 5, 3, 3, 5, 5, 3, 5, 4], "1039": [5, 4, 1, 2, 4, 4, 5, 5, 2, 3], "405": [5, 4, 4, 3, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 4, 2, 4, 4, 4, 5, 5, 4, 3, 4, 5, 3, 3, 4, 4, 2, 4, 4, 3, 5], "659": [5, 4, 5, 4, 4, 3, 2, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 2, 4, 4, 3, 3, 3, 3, 1, 2, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 5, 3, 3, 5, 4, 4, 3, 3, 4, 3, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 2, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 3], "3401": [4, 3, 1, 4, 2, 4, 3, 4, 4, 4, 4, 1, 4, 4, 3, 4, 2, 5, 4, 5, 4, 3, 5, 5, 4, 3, 2, 5, 3, 5, 4, 3, 2, 4, 3, 5, 2, 2, 2, 2, 1, 1, 1, 5, 2, 3, 3, 3, 1, 4, 4, 5, 1, 3, 3, 3, 4, 4, 5, 2, 3, 3, 4, 4, 4, 5, 3, 1, 4, 3, 4, 4, 3, 4, 2, 4, 3, 5, 5, 1, 5, 4, 2, 5, 3, 3, 3, 4, 3, 3, 1, 4, 3, 2, 3, 5, 4, 2, 4, 4, 5, 2, 2, 4, 4, 2, 4, 3, 5, 2, 3, 2, 4, 1, 3, 2, 3, 2, 2, 3, 4, 2, 4, 4, 4, 2, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 4, 3, 3, 3, 5, 3, 4, 3, 4, 3, 2, 5, 4, 3, 5, 5, 1, 5, 5, 3, 4, 2, 1, 1, 4, 3, 3, 2, 3, 4, 3, 1, 3, 3, 3, 5, 1, 2, 3, 1, 3, 3, 4, 3, 2, 2, 1, 4, 5, 2, 2, 3, 4, 2, 2, 4, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 4, 5, 4, 5, 3, 1, 1, 4, 5, 3, 3, 4, 3, 1, 3, 1, 1, 3, 1, 1, 4, 2, 5, 4, 4, 1, 1, 1, 3, 4, 2, 3, 4, 3, 3, 2, 3, 4, 1, 3, 1, 3, 2, 2, 1, 2, 5, 3, 4, 3, 3, 1, 1, 3, 3, 4, 3, 4, 2, 3, 2, 3, 4, 1, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 3, 1, 2, 1, 3, 1, 1, 3, 4, 3, 1, 1, 4, 3, 3, 4, 4, 5, 1, 3, 4, 5, 2, 4, 2, 2, 4, 4, 2, 2, 2, 3, 4, 2, 4, 1, 1, 1, 3, 3, 4, 3, 1, 3, 2, 1, 4, 2, 2, 4, 4, 2, 3, 5, 4, 2, 2, 3, 2, 2, 3, 4, 2, 1, 4, 1, 2, 4, 3, 1, 3, 4, 1, 3, 2, 3, 4, 4, 3, 1, 3, 1, 3, 5, 5, 5, 4, 4, 4, 1, 3, 3, 3, 1, 1, 2, 2, 3, 4, 4, 3, 1, 4, 4, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 4, 4, 2, 2, 4, 3, 4, 2, 3, 4, 5, 2, 4, 1, 5, 3, 3, 2, 3, 5, 2, 3, 4, 2, 3, 5, 2, 4, 1, 2, 3, 1, 4, 2, 3, 3, 3, 3, 4, 2, 4, 4, 1, 3, 2, 2, 3, 2, 1, 3, 1, 2, 1, 1, 4, 1, 3, 4, 1, 4, 4, 4, 1, 1, 3, 2, 3, 2, 3, 5, 2, 3, 4, 1, 3, 1, 5, 4, 3, 1, 1, 4, 4, 3, 3, 2, 2, 4, 3, 4, 5, 2, 2, 1, 3, 3, 1, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 5, 2, 4, 3, 4, 4, 3, 4, 3, 5, 2, 2, 3, 2, 3, 4, 2, 1, 2, 1, 3, 2, 4, 4, 3, 2, 2, 1, 4, 2, 4, 3, 1, 2, 2, 2, 1, 5, 4, 3, 1, 1, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 3, 4, 4, 4, 1, 2, 2, 3, 4, 4, 1, 5, 3, 2, 2, 4, 3, 4, 3, 4, 3, 3, 2, 5, 3, 4, 3, 4, 2, 5, 5, 3, 3, 5, 5, 4, 3, 3, 1, 4, 3, 1, 5, 1, 5, 2, 1, 4, 1, 1, 3, 4, 4, 1, 3, 4, 2, 4, 4, 3, 2, 3, 1, 3, 1, 1, 2, 1, 2, 2, 2, 4, 4, 4, 4, 2, 2, 1, 1, 4, 1, 4, 2, 4, 4, 5, 3, 5, 1, 3, 1, 3, 4, 1, 5, 4, 4, 4, 5, 1, 4, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 5, 1, 3, 4, 3, 5, 1, 3, 5, 3, 4, 4, 3, 2, 3, 4, 2, 3, 5, 4, 3, 2, 2, 2, 4, 4, 3, 3, 4, 3, 4, 5, 2, 3, 3, 1, 3, 4, 1, 4, 2, 4, 4, 3, 3, 5, 2, 4, 4, 1, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4], "1495": [4, 1, 1, 1, 2, 5, 3, 1, 2, 2, 5, 3, 1, 3, 3, 2, 3, 2, 5, 5, 2, 5, 2, 2, 3, 3, 2, 1, 1, 4, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 1, 2, 5, 5, 4, 1, 4, 3, 1, 5, 4, 2, 1, 4, 3, 3, 2, 1, 5, 2, 4, 1, 1, 5, 3, 5, 2, 2, 2, 4, 3, 2, 4, 2, 3, 3, 2, 3, 1, 2, 4, 2, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 4, 3, 3, 3, 3, 1, 2, 2, 1, 4, 1, 1, 2, 4, 2, 2, 4, 4, 5, 1, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 3, 2, 4, 4, 4, 1, 2, 2, 3, 2, 2, 2], "4141": [4, 4, 4, 5, 3, 5, 5, 3, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 5, 3, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 2, 4, 3, 5, 4, 4, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 5, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 2, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 4], "3786": [4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 2, 4, 5, 5, 3, 5, 5, 5, 3, 4, 5, 4, 4], "2409": [4, 3, 5, 4, 5, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 3, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4], "5119": [4, 5, 5, 5, 5, 1, 3, 4, 5, 3, 4, 3, 5, 4, 3, 3, 3, 5, 5, 4], "5496": [4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 3, 2, 4, 3, 5, 2, 4, 4, 2, 4, 4, 4, 1, 3, 2], "5885": [5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 4, 2, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 1, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 4], "2375": [2, 5, 3, 5, 2, 5, 4, 3, 1, 4, 1, 5, 5, 5, 1, 4, 4, 4, 4, 4, 4], "2329": [3, 5, 5, 2, 3, 4, 5, 3, 4, 5, 5, 2, 2, 3, 5, 5, 4, 1, 5, 3, 1, 4, 3, 4, 5, 3, 2, 3, 4, 3, 3, 5, 2, 3, 3, 3, 2, 2], "4515": [5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 3, 5, 5, 3, 4, 5], "2397": [4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 2, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5], "3612": [3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 5, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4], "3893": [4, 3, 3, 3, 1, 3, 2], "4671": [4, 4, 5, 5, 3, 3, 5, 3, 3, 3, 5, 3, 1, 4, 2, 4, 3, 3, 5, 3, 4, 2, 3, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 2, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 5, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 3, 3, 4, 3, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4], "3869": [3, 3, 4, 4, 2, 3, 2, 4, 2, 2, 3, 3, 4, 4, 3, 4, 5, 1, 3, 4, 2, 3, 4, 3, 4, 3, 2, 3], "1722": [5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 5, 5, 4, 5, 5, 3, 5, 2, 3, 3, 4, 3, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 2, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 3, 2, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 3], "4173": [5, 4, 3, 3, 5, 4, 5, 3, 5, 4, 3, 3, 3, 5, 4, 5, 2, 4, 4, 3, 5, 2, 4, 4, 5, 4, 5, 3, 3, 5, 5, 4, 2, 5, 5, 4, 5, 2, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 3, 5], "1410": [3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 2, 5, 3, 5, 4, 4, 5, 4, 1, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3], "1734": [4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4], "5863": [3, 4, 3, 2, 4, 4, 5, 4, 3], "4769": [4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 5, 5, 1, 2, 3, 4, 5, 5, 5, 4, 1, 3, 3, 1, 2, 4, 4, 2, 2, 4, 5, 2, 4, 4, 4, 2, 2, 2, 4, 1, 3, 4, 4, 4, 2, 5, 2, 4, 4, 3, 2, 1, 1, 4, 4, 1], "5043": [4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5], "3159": [4, 3, 5, 4, 5, 3, 4, 1, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 3, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4], "1265": [3, 3, 1, 2, 4, 4, 2, 5, 4, 1, 2, 5, 3, 4, 5, 4, 3, 5, 5, 2, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 5, 1, 3, 5, 5, 4, 5, 1, 3, 5, 4, 1, 2, 1, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 2, 5, 3, 2, 2, 1, 4, 3, 2, 1, 3, 5, 3, 5, 3, 1, 1, 4, 3, 4, 5, 4, 2, 1, 1, 2, 3, 4, 5, 2, 3, 2, 1, 2, 1, 3, 1, 5, 4, 1, 3, 3, 3, 4, 5, 1, 3, 4, 4, 4, 5, 4, 3, 3, 1, 3, 2, 3, 4, 3, 3, 2, 2, 2, 4, 3, 3, 4, 2, 3, 1, 3, 4, 4, 1, 4, 3, 3, 4, 5, 3, 4, 4, 5, 1, 1, 5, 1, 3, 4, 5, 4, 4, 1, 1, 2, 1, 5, 1, 4, 1, 1, 4, 2, 3, 1, 2, 3, 3, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 2, 4, 3, 5, 3, 4, 2, 4, 4, 1, 1, 3, 1, 4, 3, 4, 4, 1, 2, 4, 5, 1, 4, 4, 4, 5, 3, 1, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 5], "586": [4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5], "2277": [3, 4, 2, 4, 5, 5, 1, 4, 4, 3, 5], "5555": [2, 5, 3, 5, 4, 4, 3, 4, 3, 2, 4, 2, 5, 4, 5, 5, 2, 4, 1, 3, 4, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 1, 2, 4, 1, 2, 4, 3, 3, 2, 2, 3, 2, 5, 1, 4, 3, 1, 3, 1, 2, 1, 5, 5, 4, 1, 3, 4, 1, 4, 4, 3, 2, 2, 3, 5, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 3, 5, 3, 3, 3, 3, 5, 4, 1, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 2, 2, 3, 5, 5, 5, 3, 1, 4, 3, 3, 4, 4, 2, 2, 2, 1, 3, 4, 3, 1, 2, 5, 4, 3, 4, 3, 2, 3, 1, 4, 4, 4, 3, 4, 3, 3, 2, 3, 3, 1, 3, 1, 2, 1, 2, 2, 3, 2, 5, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 5, 4, 5, 3, 2, 5, 3, 4, 5, 5, 3, 3, 5, 1, 2, 5, 2, 1, 4, 3, 2, 2, 2, 3, 1, 4, 4, 3, 5, 1, 3, 5, 3, 4, 1, 2, 5, 3, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 1, 4, 5, 5, 1, 4, 3, 3, 4, 4, 5, 2, 3, 2, 1, 4, 5, 5, 5, 4, 4, 4, 1, 5, 5, 3, 4, 5, 3, 2, 3, 2, 1, 4, 3, 3, 5, 1, 3, 3, 4, 1, 1, 2, 3, 3, 1, 1, 1, 3, 4, 4, 3, 4, 4, 3, 4, 1, 4, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 3, 4, 4, 1, 3, 2, 2, 3, 5, 4, 3, 2, 2, 3, 2, 5, 1, 3, 3, 4, 1, 4, 2, 3, 3, 4, 2, 4, 4, 1, 3, 1, 4, 1, 5, 4, 4, 1, 3, 1, 1, 1, 4, 2, 4, 3, 3, 1, 4, 5, 3, 4, 4, 3, 4, 5, 1, 3, 3, 2, 3, 3, 2, 5, 4, 1, 4, 4, 5, 1, 3, 3, 4, 3, 2, 1, 4, 4, 2, 3, 4, 5, 2, 3, 2, 2, 4, 5, 3, 3, 3, 3, 5, 3, 4, 3, 4, 5, 4, 1, 4, 4, 4, 1, 3, 1, 5, 2, 4, 1, 3, 4, 2, 4, 3, 3, 1, 4, 4, 3, 1, 1, 5, 3, 2, 4, 5, 4, 2, 4, 4, 3, 4, 2, 4, 5, 5, 3, 4, 3, 4, 2, 2, 2, 3, 4, 1, 3, 1, 1, 1, 4, 2, 3, 5, 4, 4, 4, 4, 2, 1], "1656": [2, 3, 3, 2, 5, 2, 4], "3950": [3, 3, 5, 2, 4, 4, 3, 2, 4, 5, 4, 3, 5, 3, 3, 1, 2, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 1, 4, 2, 4, 3], "5748": [5, 5, 4, 4, 2, 4, 5, 4, 4, 4, 5, 3, 4, 2, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 2, 3, 5], "1879": [5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 2, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 2, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 1, 5, 4, 4, 2, 4, 5, 4, 4, 3, 2, 4, 4, 3, 4, 3, 5, 4, 2, 4, 4, 5, 4, 5, 4, 4, 5, 2, 4, 3, 4, 5, 5, 5, 3, 2, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 3, 3, 5, 5, 2, 2, 4, 3, 4, 5, 4, 2, 3, 3, 4, 3, 5, 5, 5, 3, 4, 5, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 5, 2, 4, 4, 3, 5, 4, 3, 4, 5, 4, 3, 5, 3, 4, 5, 3, 4, 5, 3, 5, 2, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 2, 4, 5, 2, 3, 2, 5, 2, 3, 3, 5, 1, 5, 4, 4, 5, 5, 4, 3, 4, 1, 5, 4, 3, 3, 2, 5, 3, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4], "555": [4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 3, 3, 4, 4], "2241": [4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4], "1416": [3, 4, 3, 4, 4, 5, 5], "975": [1, 3, 5, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 3, 5, 2, 1, 4, 3, 3, 4, 4, 4, 3, 4, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 1, 2, 2, 3, 2, 5, 2, 1, 4, 4, 4, 4, 4, 3, 1, 4, 5, 1, 4, 5, 5, 4, 4, 3, 3, 4, 3, 2, 4, 2, 2, 1, 4, 3, 3, 3, 3, 4, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 1, 3, 4, 4, 5, 1, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 2, 4, 5, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 4, 3, 2, 5, 3, 4, 3, 3, 3, 3, 3, 4, 1, 3, 3, 3, 4, 2, 4, 3, 2, 3, 2, 3, 2, 4, 3, 4, 4, 3, 5, 4, 2, 3, 3, 4, 1, 2, 4, 4, 5, 1, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 3, 2, 4, 5, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 3, 2, 5, 4, 4, 4, 4, 4, 2, 3, 5, 1, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 5, 4, 2, 2, 3, 1, 4, 1, 1, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 1, 3, 4, 4, 2, 5, 5, 3, 4, 3, 3, 2, 3, 1, 4, 3, 4, 4, 1, 4, 3, 3, 4, 4, 3, 2, 3, 5, 4, 5, 3, 4, 5, 2, 4, 3, 4, 5, 1, 1, 2, 2, 3, 3, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 1, 5, 4, 5, 5, 2, 3, 4, 3, 2, 4, 3], "4522": [3, 4, 3, 4, 2, 4, 4, 4, 2, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 2, 5, 4, 2, 3, 4, 3, 5, 3, 3, 3, 5, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 2, 2, 3, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 2, 4, 3, 2, 3, 5, 2, 3, 4, 4, 3, 4, 4, 2, 3, 2], "3957": [4, 5, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 1, 3, 5, 4, 4, 5, 4, 5, 5, 3, 3, 5, 5, 3, 1, 5, 4, 5, 5, 5, 5, 2, 4, 5, 4, 4, 3, 3, 4, 2, 5, 2, 4, 3, 4, 3, 1, 4, 2, 3, 5, 5, 2, 2, 4, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 2, 3, 5, 4, 5, 4, 5, 2, 3, 4, 2, 2, 5, 4, 3, 4, 4, 4, 5, 2, 2, 2, 5, 4, 5, 3, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 5, 3, 4, 5, 3, 4, 4, 1, 4, 4, 2, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 2, 3, 3, 3, 5, 3, 4, 3, 2, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 2, 2, 3, 5, 5, 5, 4, 5, 2, 3, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 2, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 2, 5, 5, 2, 5, 3, 3, 4, 4, 5, 4, 3, 5, 3, 5, 4, 5, 4, 4, 3, 2, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 3, 4, 1, 3, 4, 2, 5, 2, 4, 4, 3, 4, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 2, 4, 5, 5, 2, 3, 4, 4, 3, 2, 5, 3, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 5, 5, 2, 2, 5, 5, 5], "2248": [1, 3, 3, 3, 5, 3, 3, 5, 4, 5, 3, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 5, 4, 5, 5, 4, 3, 1, 3, 4, 4, 5, 4, 4, 1, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 1, 3, 5, 4, 1, 3, 4, 3, 5, 5, 5, 3, 5, 3, 5, 3, 3, 4, 3, 2, 3, 5, 5, 5, 3, 3, 5, 4, 4, 4, 4, 3], "1474": [2, 2, 2, 1, 3, 4, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 2, 5, 3, 4, 2, 2, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 3, 3, 2, 2, 5, 3, 3, 5, 5, 2, 5, 4, 4, 2, 2, 2, 4, 2, 4, 5, 3, 5, 3, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 4, 3, 3], "4232": [2, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 1, 3, 3, 5, 3, 4, 5, 4, 4], "1748": [4, 3, 4, 5, 2, 5, 5, 3, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 3, 5, 3, 3, 3, 5, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 2, 5, 4, 3, 4, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 1, 3, 3, 5, 3, 2, 3, 2, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 2, 2, 4, 2, 2, 4, 3, 4, 2, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 2, 3, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 4, 3, 4, 5, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 1, 1, 4, 3, 3, 4, 1, 4, 3, 3, 3, 3, 3, 2, 3, 5, 4, 3, 2, 3, 3, 2, 3, 2, 3, 4, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 5, 2, 4, 5, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 3, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 1, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 1, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4], "5060": [3, 2, 5, 3, 2, 2, 4, 3, 5, 3, 4, 5, 5, 5, 3, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 4, 3, 3, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 3, 2, 3, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 3, 3, 5, 5, 5, 3, 4, 3, 5, 3, 4, 3, 3, 3], "4119": [3, 3, 5, 5, 3, 1, 3, 5, 5, 5, 4, 5, 3, 3, 4, 2, 3, 2, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 5, 4, 1, 3, 4, 2, 4, 1, 5, 5, 4, 5, 3, 4, 1, 3, 2, 5], "4446": [2, 1, 4, 3, 4, 3, 3, 2, 5, 4, 4, 4, 4, 5, 3, 2, 4, 4, 2, 3, 4, 3, 4, 3, 3, 2, 3, 2, 1, 4, 3, 4, 1, 4, 4, 2, 2, 3, 3, 3, 1, 5, 2, 4, 1, 5, 3, 2, 2, 4, 3, 2, 5, 3, 2, 4, 1, 3, 5, 4, 5, 1, 3, 5, 2, 3, 2, 2, 5, 4, 5, 2, 4, 5, 4, 2, 5, 4, 3, 4, 1, 4, 2, 2, 4, 5, 3, 4, 4, 3, 3, 2, 3, 4, 3, 2, 4, 2, 3, 4, 3, 3, 3, 3, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 1, 4, 4, 4, 2, 3, 4, 3, 4, 4, 2, 5, 3, 4, 4, 3, 4, 1, 2, 1, 2, 3, 3, 2, 3, 5, 1, 5, 4, 4, 2, 1, 1, 3, 4, 2, 4, 5, 3, 1, 3, 5, 1, 3, 1, 1, 1, 4, 2, 4, 2, 4, 3, 5, 4, 5, 5, 2, 3, 4, 5, 4, 2, 3, 3, 5, 5, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 1, 1, 4, 4, 3, 4, 1, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 1, 3, 1, 2, 3, 2, 2, 1, 4, 3, 1, 4, 3, 2, 3, 2, 1, 3, 3, 4, 3, 4, 3, 1, 2, 2, 1, 5, 1, 3, 3, 3, 2, 3, 3, 3, 4, 2, 1, 3, 2, 2, 3, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 1, 1, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 3, 4, 1, 1, 3, 1, 5, 3, 3, 3, 2, 4, 3, 1, 4, 2, 3, 2, 4, 3, 5, 5, 2, 4, 1, 3, 5, 3, 4, 3, 5, 4, 4, 4, 3, 4, 1, 3, 3, 2, 2, 1, 3, 2, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 1, 4, 4, 1, 3, 5, 4, 4, 5, 4, 3, 3, 3, 1, 4, 3], "1728": [5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 4, 2, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 4], "5462": [4, 4, 5, 1, 5, 4, 3, 5, 4], "2384": [3, 4, 4, 2, 3, 5, 2, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4], "825": [2, 3, 4, 2, 4, 5, 5, 4, 3, 3, 3, 3, 4, 3, 5, 3, 4, 5, 5, 4, 3, 3, 3, 4, 3, 3, 5, 1, 3, 4, 3, 5, 2, 4, 4, 4, 4, 3, 4, 5], "5239": [3, 3, 4, 4, 3, 4, 4, 5, 4, 3, 5, 3, 2, 3, 5, 4, 5, 4, 4, 4, 2, 4, 4, 2, 3, 4, 4, 1, 3, 4, 4, 4, 2, 4, 1, 4, 5, 4, 4, 1, 5, 4, 5, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 2, 4, 4, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 2, 1, 1, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 5, 2, 3, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 2, 4, 4, 4, 3], "1458": [4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 1, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 3, 5, 5, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3], "5150": [4, 4, 4, 5, 5, 3, 3, 5, 3, 2, 3, 4, 5, 5, 2, 4, 5, 3, 3, 5, 4, 3, 4, 5, 3, 2, 2, 3, 3, 4, 3, 4], "5753": [4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 5, 2, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 1, 5, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 2, 5, 3, 4, 2, 4], "2061": [4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5], "1306": [5, 4, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 5, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 2, 4, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 3, 5, 2, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 2, 3, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 5, 3, 3, 4, 5, 2, 2, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 1, 5, 5, 5, 4, 4, 5, 4], "4884": [4, 4, 5, 3, 5, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 2, 5, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 5, 5, 2, 5, 2, 5, 4, 5, 3, 3, 4, 3, 5, 4, 3, 5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 3, 3, 5, 3, 4, 2, 3, 5, 5, 5, 3, 3, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 3, 3, 4, 2, 4, 5, 3, 4, 5, 2, 3, 4, 5, 2, 4, 2, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 5, 5, 4, 3, 2, 4, 4, 4, 5, 3, 4, 1, 5, 3, 1, 4, 4, 3, 5, 4, 3, 1, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 2, 4, 5, 4, 5, 5, 4, 3, 3, 3, 5, 4, 4, 5, 4, 4, 5], "5283": [4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 2, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 2, 2, 5, 4, 4, 5, 3, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 4, 5, 2, 3, 4, 4, 5, 4, 3, 5, 3, 5, 4, 2, 2, 3, 4, 4, 3, 2, 3, 1, 2, 4, 4, 3, 5, 4, 5, 2, 4, 3, 3, 4, 2, 4, 2, 4, 1, 2, 4, 2, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 3, 4, 2, 5, 4, 4, 4, 3, 5, 5, 2, 2, 3, 5, 3, 2, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 5, 3, 1, 5, 2, 3, 4, 4, 5, 2, 3, 4, 2, 3, 2, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 2, 2, 4, 3, 5, 2, 4, 4, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 2, 4, 3, 3, 3, 4, 1, 1, 1, 4, 4, 3, 4, 5, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 3, 5, 3, 2, 5, 2, 4, 4, 3], "1643": [5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 3, 3, 3, 4, 5, 2, 3, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 2, 4, 4, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 2, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3], "4403": [5, 3, 3, 5, 4, 4, 5, 5, 2, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 5, 4, 3, 5, 4, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5], "263": [3, 5, 4, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 1, 2, 5, 4, 1, 4, 4, 5, 2, 3, 4, 5, 4, 4, 3, 1, 3, 2, 5, 3, 1, 5, 3, 5, 2, 3, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 3, 3, 1, 2, 3, 3, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 2, 5], "3265": [4, 3, 3, 1, 2, 3, 2, 4, 2, 3, 4, 3, 5, 4, 4, 4, 5, 4, 2, 3, 2, 4, 3, 2, 2, 5, 3, 3, 2, 4, 3, 3, 4, 3, 2, 3, 3, 5, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 2, 3, 1, 3, 3, 5, 2, 1, 3, 2, 3, 1, 2, 2, 5, 2, 3, 2, 4, 2, 2, 4, 2, 3, 3, 2, 4, 3, 1, 2, 4, 4, 3, 2, 5, 2, 1, 3, 3, 3, 4, 1, 2, 4, 4, 3, 3, 1, 1, 4, 1, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 3, 4, 3, 4, 3, 4, 1, 2, 2, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 1, 2, 2, 2, 2, 3, 1, 4, 2, 5, 2, 1, 3, 3, 3, 4, 3, 3, 1, 3, 2, 3, 1, 1, 3, 5, 4, 4, 2, 2, 3, 5, 2, 3, 4, 5, 3, 1, 1, 3, 3, 3, 4, 3, 4, 2, 1, 3, 3, 1, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 4, 5, 3, 1, 2, 2, 2, 5, 3, 2, 3, 3, 3, 3, 5, 5, 5, 2, 2, 2, 3, 3, 2, 1, 3, 2, 2, 3, 4, 3, 4, 3, 4, 4, 5, 3, 1, 3, 5, 2, 3, 3, 4, 2, 3, 2, 4, 1, 4, 1, 2, 5, 2, 1, 5, 2, 5, 2, 3, 4, 2, 2, 2, 3, 1, 5, 3, 2, 2, 2, 3, 4, 2, 3, 4, 3, 2, 3, 2, 5, 5, 3, 2, 3, 2, 5, 1, 4, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 2, 1, 2, 4, 4, 3, 2, 1, 5, 2, 4, 2, 3, 1, 2, 1, 2, 2, 1, 3, 3, 3, 5, 2, 2, 3, 3, 4, 2, 4, 4, 4, 3, 4, 2, 3, 2, 1, 3, 4, 1, 4, 3, 4, 4, 2, 4, 4, 3, 3, 2, 1, 5, 2, 3, 2, 3, 4, 3, 1, 4, 2, 2, 4, 2, 4, 2, 1, 1, 4, 2, 1, 4, 3, 1, 1, 3, 5, 2, 1, 3, 1, 2, 3, 3, 3, 4, 4, 5, 2, 2, 5, 1, 4, 2, 5, 2, 3, 1, 3, 2, 4, 5, 3, 3, 2, 3, 2, 4, 2, 3, 2, 3, 5, 3, 3, 3, 3, 3, 2, 5, 2, 2, 2, 2, 2, 3, 4, 4, 1, 2, 5, 3, 3, 4, 5, 1, 3, 2, 1, 5, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 1], "1692": [5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5], "559": [2, 4, 5, 2, 3, 4, 4, 2, 5, 1, 3, 3, 4, 3, 2, 1, 3], "1881": [4, 3, 5, 3, 5, 5, 4, 5, 5, 4, 3, 5, 5, 3, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4], "5232": [4, 1, 4, 5, 4, 3, 3, 4, 4, 1, 4, 1, 4, 3, 2, 5, 1, 1, 5, 3, 2, 5, 3, 5, 4, 4, 3, 3, 3, 5, 5, 2, 5, 4, 5, 4, 3, 3, 4, 3, 3, 5, 5, 3, 5, 3, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 3, 5, 4, 5, 4, 2, 4, 4, 4, 5, 5, 2, 2, 5, 2, 1, 4, 3, 2, 3, 3, 1, 2, 2, 4, 2, 1, 4, 2, 4, 5, 2, 5, 4, 1, 3, 2, 2, 2, 2, 3, 5, 4, 2], "4366": [4, 5, 3, 4, 5, 4, 5, 1, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2], "16": [3, 4, 3, 3, 2, 2, 5, 1, 5], "2752": [2, 1, 2, 3, 4, 4, 5, 4, 3, 2, 3, 2, 4, 4, 3, 4, 1, 4, 2, 3, 3, 2, 4, 3, 2, 4, 3, 5, 5, 3, 3, 3, 3, 3, 3, 1, 3, 1, 2, 3, 5, 5, 1, 3, 2, 4, 3, 4, 4, 1, 2, 3, 1, 3, 3, 2, 3, 3, 4, 2, 3, 1, 4, 3, 3, 5, 2, 4, 3, 3, 5, 3, 3, 2, 4, 3, 4, 1, 4, 2, 5, 3, 4, 3, 4, 3, 4, 2, 4, 3, 3, 5, 5, 3, 3, 2, 1, 4, 3, 4, 4, 4, 4, 2, 5, 2, 3, 4, 4, 2, 1, 1, 2, 3, 3, 4, 4, 2, 3, 2, 5, 3, 2, 3, 3, 4, 2, 4, 4, 4, 5, 5, 4, 2, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 2, 4, 2, 1, 5, 5, 4, 1, 4, 1, 4, 4, 2, 3, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 3, 2, 4, 1, 2, 2, 1, 3, 3, 5, 3, 3, 3, 2, 5, 5, 2, 5, 3, 4, 4, 5, 3, 1, 5, 1, 2, 4, 4, 4, 5, 2, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 5, 4, 1, 1, 1, 2, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 5, 3, 3, 4, 3, 5, 3, 4, 1, 4, 1, 5, 3, 4, 3, 4, 3, 4, 2, 1, 3, 3, 3, 3, 3, 4, 3, 4, 2, 5, 4, 5, 3, 4, 3, 1, 3, 3, 2, 4, 3, 3, 5, 5, 2, 4, 4, 4, 3, 5, 4, 5, 2, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 1, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 2, 5, 3, 3, 5, 4, 5, 4, 2, 1, 3, 5, 2, 4, 5, 2, 5, 1, 5, 2, 3, 4, 3, 1, 4, 4, 4, 3, 2], "348": [5, 4, 3, 3, 4, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 2, 4, 3, 3, 1, 2, 4, 1, 4, 2, 5, 3, 4, 3, 4, 3, 4, 3, 5, 4, 5, 2, 5, 5, 3, 3, 5, 5, 3, 5, 4, 4, 3, 3, 3, 5, 2, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4], "1435": [4, 3, 4, 3, 5, 2, 4, 5, 1, 4, 3, 3, 4, 4, 5], "4526": [2, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 2, 5, 4, 3, 4, 1, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 1, 1, 4, 4, 5, 4, 3, 4, 2, 4, 4, 3, 4, 5, 4, 5, 5, 5, 2, 4, 4, 4, 4, 3, 5, 5, 2, 3, 3, 5, 4, 4, 5, 4, 3, 3, 4, 1, 4, 4, 4, 4, 5, 5, 4, 3, 4, 2, 4, 4], "5301": [5, 4, 5, 3, 4, 5, 3, 5, 4, 3, 3, 5, 3, 4, 4, 3, 5, 5, 1, 2, 3, 4, 5, 1, 3, 4, 4, 5, 5, 2, 4, 3, 2, 1, 3, 5, 5, 4, 5, 5, 2, 5, 4, 4, 2, 5, 5, 2, 5, 4, 3, 2, 3, 3, 4, 3, 3, 3, 5, 1, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 2, 1, 1, 3, 3, 4, 4, 2, 1, 2, 4, 3, 2, 3, 3, 3, 5, 3, 4, 4, 3, 2, 4, 3, 4, 4, 3, 5, 5, 3, 2, 4, 2, 5, 5, 4, 3], "205": [1, 4, 5, 5, 5, 4, 5, 1, 4, 5, 1, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 2, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 3, 5, 3, 5, 3, 5, 3, 3, 3, 5, 5, 5, 4, 4, 2, 3, 2, 4, 3, 4, 4, 5, 3, 4, 3, 2, 4, 5, 2, 5, 5, 3, 4, 5, 3, 5, 2, 3, 4, 5, 2, 5, 5, 5, 4, 1, 3, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 5, 2, 4, 2, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5], "2895": [5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 2, 3, 4, 1, 3, 4, 4, 2, 5, 2, 2, 4, 5, 4, 4, 2, 3, 2, 4, 3, 5, 3, 2, 4, 2, 3, 4, 2, 3, 2, 2, 4, 5, 5, 5, 5, 2, 3, 4, 4, 4, 3, 1, 3, 2, 4, 4, 5, 4, 5, 4, 4, 3, 1, 5, 4, 5, 4, 4, 4, 5, 3, 2, 4, 2, 3, 3, 3, 5, 4, 3, 5, 3, 5, 4, 5, 4, 1, 2, 4, 4, 5, 4, 2, 5, 3, 1, 4, 4, 4, 5, 5, 2, 3, 5, 3, 3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 2, 2, 5, 1, 4, 3, 5, 5, 3, 4, 5, 4, 2, 3, 3, 4, 5, 4, 1, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 2, 4, 5, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 2, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 2, 5, 3, 4, 3, 1, 5, 4, 4, 4, 2, 2, 5, 5, 3, 4, 3, 4, 4, 5, 4, 5, 3, 3, 3, 3, 3, 3, 3, 5, 2, 3, 5, 5, 4, 5, 3, 4, 5, 4, 3, 3, 2, 3, 2, 4, 5, 2, 3, 4, 1, 5, 4, 5, 1, 2, 5, 2, 2, 5, 1, 3, 3, 5, 4, 3, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 2, 4, 5, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 3, 4, 5, 4, 3, 5, 4, 5, 4, 3, 5, 3, 2, 4, 3, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 2, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4], "5646": [5, 3, 3, 3, 5, 4, 4, 2, 4, 3, 5, 1, 3, 2, 5, 5, 3, 5, 4, 3, 4, 2, 4, 5, 2, 5, 3, 4, 5, 4, 5, 3, 3, 4, 3, 3, 1, 5, 3, 3, 5, 5, 2, 5, 3, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 1, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 1, 3, 3, 4, 3, 3, 5, 2, 4, 2, 5, 4, 4, 5, 3, 4, 5, 5, 5, 3], "3453": [3, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 4, 4, 4, 2, 5, 5, 4, 3, 4, 3, 3, 2, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 1, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 4, 4, 1, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 2, 2, 4, 4, 3, 5, 4, 4, 3, 2, 5, 2, 5, 3, 3, 4, 4, 3, 5, 3, 3, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 1, 3, 5, 3, 3, 1, 4, 3, 3, 4, 5, 3, 2, 4, 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 1, 4, 3, 3, 3, 5, 5, 3, 4, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 1, 4, 5, 3, 3, 3, 3, 3, 4, 1, 2, 5, 4, 4, 4, 3, 4, 4, 5, 4, 2, 2, 3, 5, 3, 3, 3, 4, 5, 4, 2, 4, 2, 4, 2, 3, 2, 5, 4, 3, 1, 4, 2, 3, 3, 1, 3, 4, 4, 4, 4, 4, 4, 3, 5], "2229": [1, 3, 4, 4, 3, 2, 4, 3, 2, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 3, 3], "780": [4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 5, 4, 3, 1, 5, 3, 4, 4, 1, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 1, 5, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 2, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 2, 3, 5, 2, 4, 2, 3, 4, 2, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 5, 3, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 5, 4, 2, 3, 4, 3, 5, 4, 1, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 4, 3, 4, 2, 4, 3, 1, 4, 4, 4, 4, 1, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 2, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 1, 1, 5, 1, 3, 4, 4, 5, 3, 3, 4, 3, 3, 4, 4, 1, 5, 4, 3, 5, 4, 4, 2, 4, 3, 4, 1, 4, 3, 4, 3, 3, 5, 5, 1, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 2, 3, 1, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 3, 4, 4, 3, 3, 3, 4, 5, 4, 4, 2, 4, 4, 3, 1, 5, 3, 3, 3, 4, 4, 3, 3, 4, 1, 4, 5, 3, 3, 5, 3, 3, 4, 3, 3, 2, 3, 4, 3, 2, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 3, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 5, 2], "1353": [5, 5, 4, 4, 5, 5, 2, 2, 2, 4, 5, 5, 4, 4, 1, 3, 2, 2, 3, 5, 3, 1, 2, 2, 2, 1, 3, 4, 3, 4, 4, 4, 3, 2, 2, 3, 4, 3, 1, 1, 2, 4, 2, 2, 2, 2, 3, 3, 3, 2, 3, 4, 5], "4537": [2, 4, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 3, 5, 4, 3, 5, 4, 4, 4, 5, 4], "1851": [3, 5, 5, 2, 5, 2, 1, 5, 2, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 1, 3, 5, 2, 3, 3, 4, 4, 2, 2, 3, 2, 1, 5, 2, 5, 3, 4, 3, 3, 2, 1, 2, 1, 2, 2, 3, 1, 3, 4, 1, 3, 2, 2, 3, 3, 3, 4, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 4, 2, 1, 5, 4, 4, 3, 1, 1, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 2, 2, 1, 3, 1, 2, 5, 3, 3, 4, 3, 2, 1, 3, 2, 2, 2, 3, 1, 2, 1, 5, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 4, 2, 4, 2, 1, 2, 4, 2, 2, 4, 2, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 5, 3, 2, 5, 3, 2, 1, 2, 2, 1, 3, 2, 2, 4, 5, 5, 3, 2, 2, 2, 2, 4, 2, 3, 4, 3, 4, 5, 3, 3, 1, 5, 4, 3, 2, 4, 3, 1, 3, 1, 2, 4, 1, 2, 2, 1, 1, 3, 2, 2, 3, 2, 2, 2, 4, 3, 4, 3, 2, 2, 2, 2, 3, 3, 2, 4, 4, 3, 2, 3, 1, 2, 4, 3, 5, 2, 2, 3, 2, 2, 1, 5, 2, 2, 2, 2, 1, 4, 2, 2, 2, 3, 3, 2, 3, 4, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 1, 4, 2, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 2, 2, 3, 3, 4, 3, 1, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 4, 5, 2, 2, 3, 4, 2, 3, 4, 3, 3, 3, 1, 3, 2, 3, 2, 5, 2, 5, 4, 3, 2, 3, 5, 1, 2, 2, 3, 2, 2, 4, 3, 2, 3, 3, 4, 4, 2, 2, 3, 3, 3, 5, 3, 2, 1, 1, 3, 2, 2, 4, 3, 2, 4, 2], "2543": [5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4], "1452": [5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 5], "4543": [3, 2, 2, 3, 4, 3, 2, 3, 3, 5, 5, 3, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 4, 4, 2, 3, 4, 5, 4, 3, 4, 2, 1, 2, 5, 3, 1, 1, 1, 4, 5, 4, 5, 3, 4, 5, 3, 4, 2, 3, 3, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 3, 2, 2, 4, 3, 4, 3, 2, 2, 4, 3, 2, 2, 2, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 1, 3, 3, 3, 3, 2, 5, 4, 5, 2, 4, 2, 5, 1, 3, 1, 4, 4, 1, 4, 5, 3, 4, 3, 2, 2, 4, 2, 2, 3, 1, 4, 4, 4, 4, 5, 4, 3, 3, 2, 4, 5, 4, 3, 2, 4, 3, 4, 3, 2, 5, 3, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 2, 3, 3, 5, 5, 3, 1, 2, 4, 2, 2, 3, 4, 4, 3, 4, 3, 3, 2, 1, 4, 3, 4, 5, 2, 4, 4, 2, 2, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 1, 5, 4, 2, 3, 3, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 3, 1, 4, 5, 3, 4, 4, 3, 3, 3, 1, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 1, 3, 3, 3, 3, 1, 2, 3, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 3, 2, 3, 4, 3, 5, 3, 3, 2, 1, 3, 3, 4, 2, 1, 3, 3, 3, 2, 3, 2, 3, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 4, 2, 5, 4, 3, 4, 2, 3, 3, 2, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 2, 5, 1, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 2, 3, 5, 4, 2, 1, 2, 5, 4, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 1, 3, 2, 3, 5, 4, 3, 4, 3, 2, 3, 1, 4, 2, 1, 3, 4, 3, 3, 3, 5, 4, 1, 4, 5, 5, 2, 4, 4, 4, 4, 2, 5, 2, 4, 4, 5, 3, 4, 5, 5, 3, 5, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 2, 4, 2, 3, 4, 5, 5, 3, 4, 5, 3, 2, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 3, 3, 1, 3, 2, 3, 3, 4, 2, 3, 4, 3, 4, 2, 1, 3, 3, 4, 3, 1, 2, 4, 2, 4, 5, 4, 3, 3, 5, 4, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 1, 2, 4, 4, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 4, 3, 3, 4, 3, 4, 2, 4, 4, 3, 2, 2, 2, 4, 3, 4, 4, 4, 1, 3, 2, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 2, 2, 2, 3, 3, 1, 5, 4, 2, 2, 4, 5, 3, 5, 4, 4, 3, 2, 1, 3, 4, 3, 1, 3, 4, 5, 3, 2, 1, 5, 5, 4, 4, 3, 3, 4, 5, 1, 2, 3, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 2, 2, 3, 4, 5, 1, 4, 4, 4, 4, 1, 3, 4, 4, 5, 3, 1, 3, 3, 2, 3, 3, 2, 5, 3, 4, 2, 3, 3, 4, 5, 2, 2, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 3, 4, 2, 3, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 2, 3, 2, 3, 1, 4, 1, 5, 3, 3, 3, 3, 4, 5, 4, 2, 5, 4, 3, 5, 4, 5, 2, 4, 1, 4, 2, 2, 3, 4, 5, 3, 2, 3, 4, 1, 2, 4, 3, 4, 3, 5, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 3, 1, 4, 2, 3, 4, 3, 4, 4, 3, 2, 2, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 1, 3, 2, 3, 4, 1, 2, 4, 4, 5, 2, 1, 4, 2, 4, 3, 2, 2, 4, 2, 2, 5, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 5, 2, 4, 3, 4, 5, 1, 5, 3, 2, 5, 4, 4, 5, 3, 3, 4, 4, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 5, 4], "4553": [3, 5, 1, 2, 4, 4, 4, 3, 3, 2, 3, 3, 5, 1, 2, 5, 4, 1, 4, 3, 4, 3, 5, 5, 3, 5, 4, 1, 5, 5, 3, 4, 2, 2, 4, 1, 4, 3, 2, 4, 4, 4, 4, 4, 3, 2, 5, 2, 2, 4], "439": [3, 3, 4, 5, 5, 3, 4, 4, 5, 3, 4, 5, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 3, 5, 2, 4, 5, 4, 4, 3, 3, 5, 3, 1, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 2, 5, 5, 3, 5, 5, 3, 3, 3, 4, 5, 3, 3, 3, 5, 4, 5, 5, 4, 3, 2, 3, 3, 5, 5], "2823": [2, 2, 4, 4, 2, 3, 3, 3, 3, 4, 3, 1, 4, 2, 4, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 1, 1, 3, 2, 2], "4784": [4, 3, 5, 5, 4, 3, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 2, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 3, 5, 4, 5, 3, 4, 3, 5, 5, 3, 3, 4, 5, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4, 2, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 4, 5, 5, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 2, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 4, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 2, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 2, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 2, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 5, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 3, 4, 5, 4, 3, 5, 5, 5, 3, 2, 3, 3, 5, 3, 5, 5, 5, 5, 3, 3, 5, 3, 3, 4, 4, 3, 5, 5, 2, 5, 5, 4, 3, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 3, 5, 4, 4, 4, 4], "750": [4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3], "3320": [4, 4, 4, 3, 4, 1, 1, 3, 5, 4, 5, 1, 4, 4, 4, 4, 1, 4, 2, 4, 2, 1, 3, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 2, 5, 1, 5, 5, 5, 4, 5, 3, 3, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 1, 4, 5, 3, 2, 3, 1, 4, 3, 4, 5, 3, 4, 5, 2, 1, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 1, 4, 2, 3, 3, 4, 2, 2, 3, 3, 3, 3, 1, 5, 3, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 2, 1, 3, 5, 3, 2, 1, 5, 3, 4, 4, 1, 4, 4, 5, 4, 3, 3, 2, 3, 2, 5, 3, 4, 3, 4, 1, 4, 1, 4, 2, 3, 2, 2, 4, 4, 4, 1, 5, 4, 2, 3, 4, 3, 4, 4, 5, 3, 3, 3, 1, 1, 4, 4, 3, 5, 3, 3, 2, 2, 1, 1, 4, 2, 1, 3, 2, 4, 4, 3, 2, 2, 1, 5, 4, 3, 3, 2, 5, 4, 3, 3, 5, 3, 3, 3, 5, 3, 4, 1, 3, 3, 5, 4, 1, 3, 4, 3, 4, 3, 4, 5, 4, 1, 5, 5, 4, 4, 5, 2, 2, 3, 1, 1, 2, 3, 3, 4, 4, 2, 4, 2, 4, 4, 3, 4, 5, 5, 3, 2, 4, 4, 3, 2, 2, 3, 1, 4, 4, 4, 5, 2, 2, 2, 5, 3, 4, 4, 3, 1, 3, 3, 2, 3, 3, 4, 3, 3, 4, 4, 1, 2, 2, 3, 4, 1, 4, 2, 4, 3, 5, 4, 4, 4, 4, 4, 1, 1, 2, 4, 1, 4, 4, 1, 4, 3, 1, 3, 3, 4, 2, 3, 4, 1, 1, 4, 1, 1, 1, 5, 5, 1, 3, 4, 2, 1, 4, 1, 4, 3, 1, 4, 4, 5, 3, 4, 3, 1, 1, 2, 2, 4, 4, 1, 3, 4, 5, 4, 4, 1, 3, 3, 3, 3, 2, 1, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 2, 3, 4, 3, 4, 4, 4, 1, 3, 1, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 2, 4, 2, 3, 4, 4, 4, 2, 5, 3, 3, 5, 5, 1, 2, 5, 2, 4, 4, 4, 5, 3, 2, 1, 4, 1, 4, 1, 3, 1, 1, 1, 1, 4, 5, 4, 3, 1, 1, 2, 1, 5, 2, 1, 2, 3, 3, 4, 3, 3, 2, 1, 1, 4, 4, 1, 4, 1, 3, 4, 1, 5, 3, 5, 4, 5, 3, 4, 4, 3, 2, 4, 1, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 1, 1, 3, 4, 5, 1, 4, 4, 4, 3, 1, 4, 1, 4, 4, 4, 4, 2, 1, 1, 1, 3, 2, 2, 4, 4, 4, 1, 4, 4, 4, 4, 3, 5, 4], "4869": [4, 2, 2, 5, 3, 3, 5, 3, 2, 5, 2, 5, 1, 4, 1, 3, 4, 3, 2, 2, 3, 3, 4, 1, 4, 3, 5, 4, 5, 1, 5, 1, 5, 4, 4, 3, 5, 5, 5, 4, 2, 3, 5, 4, 3, 4, 3, 3, 1, 5, 4, 5, 2, 4, 4, 5, 1, 3, 4, 2, 5, 5, 4, 4, 4, 1, 3, 4, 2, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 1, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 4, 1, 4, 3, 2, 4, 1, 2, 2, 3, 5, 3, 5, 5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 1, 4, 4, 3, 3, 4, 4, 3, 2, 4, 2, 5, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 2, 5, 3, 2, 4, 5, 1, 4, 3, 3, 5, 4, 4, 2, 2, 3, 3, 3, 5, 3, 4, 2, 5, 4, 2, 4, 3, 5, 4, 3, 3, 4, 4, 5, 4, 1, 1, 3, 1, 1, 1, 1, 3, 4, 2, 3, 3, 3, 5, 1, 5, 2, 3, 4, 3, 1, 4, 3, 3, 3, 5, 3, 5, 2, 2, 3, 4, 3, 4, 2, 5, 4, 3, 3, 1, 1, 4, 5, 2, 1, 5, 1, 1, 2, 1, 4, 4, 1, 5], "2117": [4, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5], "5828": [4, 4, 5, 1, 4], "834": [4, 3, 2, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 2, 5, 3, 4, 3, 5, 5, 4, 3, 5, 5], "2732": [4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 1, 5, 2, 3, 3], "488": [4, 3, 4, 4, 5, 3, 5, 3, 3, 4, 3, 5, 3, 1, 5, 5, 4, 4, 4], "1460": [1, 2, 3, 3, 5, 5, 1, 2, 1, 5, 5, 5, 4], "5506": [3, 3, 4, 3, 4, 3, 2, 4, 5, 3, 2, 4, 3, 4, 2, 5, 3, 4, 4, 4, 3, 4, 3, 3, 5, 2, 5, 4, 3, 3, 5, 5, 3, 5, 4, 5, 3], "2069": [3, 5, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 2, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 3, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 3, 2, 2, 3, 3], "4683": [1, 1, 3, 5, 5, 2, 5, 3, 3, 4, 5, 5, 1, 3, 3, 5, 4, 5, 5, 1, 4, 1, 4, 4, 3, 1, 1, 5, 2, 1, 5, 3, 5, 3, 1, 1, 5, 4, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 5, 3, 4, 2, 1], "5637": [4, 5, 4, 4, 5, 4, 1, 4, 4, 4, 5, 4, 4, 5, 3, 3, 5, 3, 5, 2, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 3, 4, 5], "5143": [4, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 4, 4, 3, 3, 3, 1, 5, 3, 4, 4, 5, 4, 3, 5, 5, 5, 2, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 3, 3, 4], "1386": [4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 1, 5, 1, 4, 4, 5, 3, 5, 1, 4, 4, 3, 5, 1, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 4, 4, 2, 5, 4, 5, 4, 1, 1, 2, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5], "5269": [4, 4, 3, 3, 5, 4, 4, 4, 2, 2, 5, 2, 2, 1, 2, 3, 3, 2, 4, 4, 2, 1, 3, 1, 1, 1, 1, 5, 3, 3, 4, 5, 2, 3, 4, 2, 3, 4, 4, 5, 4, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 1, 1, 3, 5, 2, 5, 4, 5, 3, 2, 3, 4, 5, 4, 4, 3, 1, 1, 5, 3, 5, 4, 3, 5, 1, 4, 3, 3, 2, 5, 4, 5, 3, 1, 3, 2, 3, 4, 3, 3, 3, 4, 4, 5, 2, 2, 4, 1, 3, 3, 3, 2, 5, 3, 3, 4, 1, 4, 5, 2, 1, 3, 2, 1, 1, 2, 3, 4, 5, 3, 1, 5, 5, 2, 4, 3, 3, 2, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 2, 3, 4, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 5, 2, 4, 3, 2, 3, 4, 5, 4, 1, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 3, 5, 2, 4, 1, 5, 2, 2, 1, 2, 2, 3, 5, 1, 4, 3, 2, 5, 3, 4, 3, 2, 4, 2, 3, 3, 3, 2, 2, 2, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 5, 1, 3, 2, 4, 1, 4, 4, 5, 1, 2, 4, 3, 3, 2, 3, 1, 3, 2, 4, 2, 1, 2, 2, 4, 4, 5, 4, 3, 4, 2, 1, 1, 5, 2, 4, 2, 4, 3, 5, 3, 4, 2, 5, 3], "4229": [5, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 3, 5, 5, 3, 5, 2, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 4, 5, 3, 5, 3, 5, 4, 4, 2, 2], "5214": [5, 1, 3, 1, 2, 1, 1, 4, 1, 5, 1, 4, 3, 1, 4, 1, 4, 4, 1, 5, 3, 1, 2, 4, 2, 3, 1, 1, 1, 4], "1219": [5, 3, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 3, 5, 2, 4, 4, 4, 2, 3, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 2, 4, 4, 3, 2, 1, 4, 2, 5, 4, 4, 3, 3, 2, 4, 3, 4, 3, 2, 2, 3, 3, 4, 2, 5, 2, 3, 4, 5, 3, 3, 4, 2, 5, 3, 4, 2, 2, 3, 5, 2, 4, 5, 5, 3, 2, 2, 5, 2, 4, 5, 2, 2, 4, 3, 3, 5, 3, 5, 2, 3, 3, 3, 5, 5, 3, 4, 3, 3, 3, 1, 3, 4, 4, 5, 4, 3, 4, 2, 2, 2, 2, 3, 4, 4, 1, 4, 4, 5, 1, 4, 4, 3, 2, 3, 4, 2, 3, 5, 5, 3, 4, 2, 5, 4, 3, 3, 3, 5, 2, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 5, 2], "3923": [3, 4, 2, 4, 5, 4, 5, 5, 1, 4, 5, 4, 4, 3, 3, 1, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 2, 2, 4, 1, 5, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 2, 3, 2, 5, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 3, 4, 4, 1, 1, 2, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 2, 5, 4, 3], "5764": [4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 3, 5, 4, 3, 2, 2, 5, 5, 3, 2, 5, 4, 5, 2, 4, 5, 5, 5, 3, 3, 4, 3, 5, 5, 5, 4], "4876": [5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4], "2071": [4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 2, 3, 2, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 2, 1, 5, 3, 4, 3, 4, 4, 5, 4, 1, 2, 3, 5, 4, 2, 4, 5, 3, 3, 3, 4, 4, 3, 4, 4, 3, 2, 1, 4, 4, 3, 4, 5, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 2, 4, 4, 4, 2, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 3, 2, 2, 2, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 3, 5, 2, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4], "2475": [4, 4, 4, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 4, 5, 5, 3, 2, 3, 5, 1, 5, 5, 3, 5, 5, 5, 4, 5], "1689": [4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 2, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 1, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 2, 5, 3, 3, 3, 4, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 2], "419": [3, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 1, 5, 4, 4, 4, 3, 4, 2, 4, 2, 2, 4, 4, 3, 3, 4, 3, 5, 2, 2, 5, 5, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 2, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 4, 4, 2, 3, 1, 4, 4], "3993": [3, 3, 2, 4, 4, 5, 3, 3, 1, 2, 4, 2, 2, 3, 2, 2, 4, 4, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 2, 5, 4, 3, 3, 2, 3, 1, 5, 2, 3, 3, 4, 1, 3, 4, 2, 2, 3, 3, 1, 4, 4, 4, 3, 4, 2, 4, 4, 3, 2, 3, 3, 3, 1, 4, 4, 2, 3, 5, 2, 2, 4, 3, 1, 3, 2, 3, 2, 3, 1, 2, 4, 3, 2, 3, 2, 4, 2, 2, 3, 3, 4, 4, 4, 3, 4, 3, 4, 2, 1, 3, 1, 4, 4, 3, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 2, 4, 3, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 4, 1, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 1, 3, 3, 4, 4, 2, 4, 2, 4, 3, 4, 4, 4, 2, 3, 2, 4, 1, 4, 5, 3, 2, 4, 4, 5, 4, 3, 3, 3, 3, 2, 4, 3, 2, 1, 2, 5, 2, 1, 2, 4, 4, 3, 3, 3, 3, 2, 2, 5, 4, 4, 3, 1, 1, 3, 4, 3, 2, 3, 2, 3, 3, 3, 2, 1, 2, 4, 2, 2, 4, 3, 3, 3, 2, 4, 3, 3, 1, 4, 3, 2, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 3, 4, 2, 3, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 1, 3, 2, 4, 2, 3, 1, 4, 4, 4, 1, 4, 3, 3, 4, 4], "2772": [4, 2, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 2, 3, 2, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 5, 3, 3, 4, 2, 4, 5, 4, 5, 3, 2, 5, 4, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 1, 3, 2, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 3, 4, 3, 4, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 3, 3, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 3], "1826": [5, 4, 5, 4, 4, 5, 5, 3, 5, 2, 2, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 5, 5, 4, 3, 3, 3, 4, 5, 3, 2, 5, 3, 3, 2, 2, 3, 3, 4, 3, 5, 4, 5, 3, 3, 5, 3, 5, 3, 3], "5814": [5, 1, 3, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 3, 2, 4, 4, 5, 3, 4, 3, 5, 3, 4], "3544": [5, 5, 4, 5, 4, 5, 2, 4, 5, 5, 5, 5, 3, 3, 5, 4, 4, 5, 5, 3, 5, 5, 3], "4255": [4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 2, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 2, 4, 2], "4186": [2, 2, 3, 3, 3, 2, 5, 4, 3, 3, 1, 3, 4, 4, 3, 3, 3, 3, 3, 1, 2, 3, 4, 3, 4, 3, 3, 2, 1, 2, 2, 2, 4, 4, 1, 2, 4, 1, 3, 2, 5, 4, 4, 2, 3, 5, 3, 2, 1, 4, 1, 3, 4, 3, 3, 5, 3, 3, 3, 2, 4, 3, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 3, 4, 4, 4, 5, 3, 2, 1, 3, 3, 1, 2, 4, 3, 2, 3, 3, 1, 1, 2, 1, 2, 4, 1, 1, 1, 4, 4, 4, 3, 1, 3, 1, 4, 3, 3, 2, 4, 4, 4, 3, 1, 3, 3, 4, 4, 4, 3, 4, 2, 3, 1, 3, 2, 3, 2, 3, 5, 4, 3, 4, 2, 4, 5, 3, 3, 3, 4, 3, 2, 3, 4, 4, 2, 5, 1, 5, 3, 3, 4, 5, 1, 3, 2, 1, 3, 3, 4, 5, 3, 4, 5, 3, 2, 2, 3, 1, 4, 2, 2, 5, 2, 3, 2, 3, 3, 5, 2, 3, 3, 5, 4, 4, 3, 2, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 2, 3, 2, 1, 2, 4, 4, 1, 3, 4, 4, 3, 3, 4, 4, 4, 1, 4, 3, 1, 2, 4, 5, 2, 3, 5, 1, 1, 4, 4, 1, 3, 3, 4, 4, 1, 2, 2, 4, 3, 3, 2, 3, 4, 1, 2, 4, 5, 3, 2, 4, 2, 1, 4, 4, 4, 3, 4, 3, 2, 4, 5, 3, 4, 3, 5, 4, 3, 4, 3, 2, 2, 1, 3, 3, 4, 3, 3, 2, 1, 4, 3, 4, 2, 3, 3, 5, 3, 5, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 3, 3, 2, 4, 3, 4, 2, 4, 2, 4, 2, 3, 2, 1, 1, 2, 3, 1, 1, 4, 4, 2, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 3, 3, 1, 3, 3, 3, 3, 1, 3, 1, 2, 3, 3, 2, 1, 3, 4, 1, 1, 3, 4, 2, 5, 2, 3, 3, 3, 3, 1, 3, 1, 4, 1, 3, 2, 1, 3, 3, 2, 2, 2, 1, 2, 1, 1, 2, 5, 3, 3, 4, 3, 3, 2, 5, 3, 2, 3, 5, 3, 2, 3, 2, 3, 2, 2, 2, 2, 5, 3, 2, 4, 1, 5, 4, 5, 3, 1, 3, 3, 5, 1, 4, 3, 2, 2, 3, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 1, 4, 3, 2, 4, 3, 4, 3, 2, 3, 3, 1, 2, 4, 1, 2, 1, 3, 4, 1, 4, 3, 3, 3, 4, 3, 1, 1, 2, 4, 2, 2, 4, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 4, 3, 3, 1, 2, 4, 5, 4, 1, 1, 3, 4, 1, 3, 2, 2, 3, 2, 3, 1, 4, 2, 3, 3, 4, 3, 4, 4, 1, 4, 1, 1, 1, 3, 2, 3, 3, 4, 3, 3, 1, 4, 4, 3, 4, 2, 2, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4], "1860": [5, 4, 4, 2, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4, 3, 4, 2, 5, 3, 3, 5, 4, 5, 2, 2, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 1, 3, 3, 4, 2, 2, 4, 3, 2, 4, 1, 1, 3, 2, 3, 2, 3, 4, 4, 3, 2, 1, 2, 2, 3, 4, 3, 4, 2, 4, 5, 3, 2, 2, 4, 4, 2, 5, 4, 3, 4, 3, 4, 5, 2, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 2, 3, 5, 4, 5, 2, 3, 3, 4, 3, 3, 3, 4, 3, 1, 3, 2, 2, 3, 3, 2, 3, 2, 3, 4, 3, 3, 5, 1, 5, 4, 4, 5, 3, 3, 2, 4, 5, 3, 3, 1, 2, 1, 2, 3, 5, 3, 4, 4, 3, 2, 4, 3, 5, 3, 3, 1, 4, 2, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 1, 4, 2, 4, 4, 2, 3, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 1, 5, 2, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 4, 3, 1], "2483": [4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 2, 4, 3, 2, 3, 5, 5, 3, 2, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 1, 5, 3, 3, 2, 2, 5, 4, 5, 5, 5, 1, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4], "4746": [3, 4, 3, 4, 3, 3, 5, 3, 2, 3, 3, 3, 4, 3, 2, 3, 2, 3, 5, 3, 4, 3, 2, 3, 4, 3, 4, 3, 3, 4, 2, 2, 3, 5, 4, 4, 4, 4, 2, 3, 5, 5, 5, 5, 2, 3, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 5, 4, 4, 3, 2, 3, 2, 2, 5, 5, 4, 3], "4020": [3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 3, 3, 3, 1, 3, 3, 3, 3, 5, 1, 4, 2, 4, 5, 2, 1, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 2, 3, 3, 4, 4, 3, 4, 5, 3, 2, 3, 1, 3, 3, 4, 4, 4, 4, 1, 3, 5, 4, 3, 4, 4, 3, 3, 4, 2, 5, 4, 5, 2, 4, 1, 4, 4, 3, 5, 4, 5, 3], "4614": [4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 3, 3], "5449": [4, 4, 5, 2, 3, 3, 3, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 3, 3, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 5, 3, 1, 5, 2, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 5, 5, 3], "660": [2, 4, 3, 3, 3, 4, 3, 2, 3, 2, 4, 4, 4, 3, 4, 3, 2, 3, 5, 4, 3, 4, 3, 5, 5, 3, 3, 3, 4, 1, 1, 3, 2, 3, 3, 4, 3, 4, 1, 1, 3, 2, 1, 3, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 2, 4, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 1, 3, 2, 5, 2, 4, 3, 5, 3, 3, 4, 2, 2, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 2, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 1, 2, 4, 3, 3, 3, 1, 3, 3, 2, 2, 3, 3, 2, 5, 3, 2, 3, 2, 3, 2, 4, 3, 2, 5, 3, 3, 3, 3, 1, 3, 3, 2, 3, 2, 4, 3, 3, 3, 1, 3, 2, 3, 3, 3, 2, 4, 2, 3, 2, 3, 3, 2, 4, 2, 2, 3, 4, 3, 2, 3, 3, 2, 5, 3, 2, 2, 4, 5, 2, 1, 2, 1, 3, 3, 3, 2, 2, 4, 2, 3, 4, 5, 2, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 5, 3, 3, 3, 4, 3, 2, 4, 2, 3, 3, 3, 4, 2, 5, 3, 3, 4, 3, 3, 3, 2, 3, 3, 5, 2, 3, 3, 1, 3, 3, 3, 3, 3, 2, 3, 2, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 4, 5, 1, 4, 3, 4, 4, 2, 4, 2, 3, 3, 3, 3, 3, 5, 1, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 4, 2, 2, 3, 2, 2, 3, 3, 3, 2, 4, 3, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 1, 3, 5, 1, 2, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 1, 3, 2, 3, 3, 4, 3, 2, 3, 2, 4, 2, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 2, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 2, 1, 5, 4, 2, 3, 4, 4, 3, 3, 3, 3, 2, 5, 2, 2, 3, 1, 3, 3, 3, 1, 4, 3, 4, 3, 3, 3, 1, 4, 4, 3, 1, 2, 1, 2, 4, 5, 4, 2, 4, 4, 3, 2, 3, 2, 2, 2, 4, 3, 3, 2, 1, 3, 3, 3, 2, 2, 2, 4, 2, 4, 4, 4, 4, 2, 4, 5, 2, 5, 4, 5, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 3, 2, 4, 1, 3, 3, 4, 4, 5, 4, 3, 4, 2, 3, 3, 1, 3, 5, 2, 2, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 1, 5, 2, 3, 4, 2, 3, 2, 4, 4, 5, 3, 4, 4, 3, 2, 3, 5, 1, 3, 2, 4, 3, 5, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 4], "642": [4, 5, 4, 5, 5, 1, 3, 3, 5, 5, 1, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4], "4506": [4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 5, 5, 3, 3, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 1, 3, 3, 3, 2, 4, 4, 5, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 5, 4, 4, 3, 5, 3, 3, 4, 5, 3, 3, 5, 3, 3, 2, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 2, 2, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 2, 3, 4, 2, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 2, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 2, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 3, 3, 5, 5, 4, 4, 5, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 1, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 4, 3, 5, 3, 4, 4, 4, 5, 3, 5, 5, 3, 3, 3, 5, 4, 2, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 1, 4, 3, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 1, 4], "1778": [4, 2, 2, 2, 4, 3, 2, 3, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 5, 5, 3, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 2, 3, 4, 5, 3, 4, 3, 3, 4, 2, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 5, 3, 2, 4, 1, 5, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 5, 3, 3, 1, 4, 3, 5, 3, 2, 2, 3, 2, 3, 2, 4, 5, 5, 4, 5, 3, 2, 3, 3, 5, 4, 2, 5, 4, 5, 3, 2, 2, 3, 3, 3, 2, 4, 3, 5, 5, 1, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 4, 3, 3, 5, 2, 3, 4, 3, 4, 3, 4, 2, 4, 3, 1, 4, 2, 3, 5, 1, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 2, 2, 4, 2, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 1, 4, 4, 3, 4, 1, 5, 5, 4, 3, 4, 3, 5, 4, 4, 2, 2, 4, 5, 3, 4, 1, 5, 3, 3, 3, 4, 1, 4, 4, 3, 4, 4, 4, 2, 5, 2, 3, 2, 3, 4, 3, 4, 4, 5, 3, 2, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 3, 2, 3, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 5, 4, 3, 5, 3, 4, 2, 4, 5, 3, 2, 4, 4, 3, 3, 3, 5, 4, 2, 3, 3, 3, 4, 2, 2, 4, 3, 5, 3, 3, 4, 4, 2, 3, 3, 2, 4, 3, 4, 5, 3, 3, 5, 2, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 3, 3], "1445": [2, 5, 4, 4, 5, 1, 1, 5, 4, 5, 1, 1, 1, 5, 1], "722": [3, 5, 4, 5, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 1, 4, 4, 4, 5, 5, 3, 3, 4, 5, 3, 5, 4, 5, 4, 4], "3009": [4, 5, 5, 4, 3, 3, 5, 3, 5, 5, 5, 5, 4, 2, 4, 3], "4946": [4, 5, 3, 1, 4, 4, 3, 5, 3, 4, 3, 4, 2, 3, 3, 4, 5, 4, 4, 2, 4, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 2, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 3, 3, 5, 4, 2, 5, 3, 3, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 3, 4, 5, 3, 3, 3, 3, 5, 4, 5, 3, 5, 2, 3, 2, 5, 2, 1, 3, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 3, 5, 2, 5, 4, 5, 2, 4, 4, 4, 5, 4, 2, 3, 5, 3, 4, 5, 3, 5, 4, 5, 2, 5, 5, 5, 3, 4, 5, 4, 5, 2, 3, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 2, 5, 5, 3, 2, 3, 4, 4, 4, 4, 5, 2, 4, 4, 4, 3, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 4, 3, 2, 3, 5, 2, 2, 5, 4, 2, 5, 5, 5, 4, 3, 3, 4, 1, 5, 3, 4, 2, 4, 4, 3, 4, 4, 3, 5, 4, 2, 4, 3, 3, 4, 5, 2, 4, 4, 5, 3, 3, 4, 3, 2, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 2, 5, 4, 5, 5, 3], "1516": [3, 1, 1, 5, 3, 3, 2, 3, 5, 3, 1, 5, 3, 4, 5, 4, 5, 3, 5, 5, 3, 5, 1, 2, 5, 5, 5, 2, 1, 2, 5, 4, 2, 1, 3, 5, 1, 5, 5, 2, 1, 4, 1, 3, 3, 5, 3, 2, 3, 4, 3, 3, 3, 1, 2, 3, 3, 5, 1, 2, 1, 2, 3, 2, 5, 2, 1, 5, 5, 2, 1, 3, 2, 5, 1, 4, 3, 3, 3, 3, 5, 5, 4, 4, 5, 5, 2, 4, 5, 2, 2, 3, 1, 3, 5, 5, 1, 3, 3, 2, 3, 5, 5, 3, 5, 3, 2, 5, 1, 3, 1, 1, 1, 4, 5, 4, 2, 3, 3, 1, 5, 1, 1, 2, 3, 4, 3, 1, 2, 3, 5, 3, 5, 4, 3, 2, 5, 4, 2, 5, 5, 4, 3, 5, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 3, 1, 3, 1, 3, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 2, 2, 5, 3, 1, 2, 5, 2, 4, 4, 1, 3, 1, 5, 3, 4, 4, 5, 4, 3, 5, 5, 2, 3, 3, 5, 5, 2, 5, 2, 5, 4, 4, 3, 1, 4, 3, 5, 4], "1221": [5, 5, 4, 5, 5, 3, 5, 1, 1, 5, 5, 4, 4, 3, 5, 1, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 1, 5, 2, 2, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 2, 5, 3, 5, 5, 4, 2, 4, 5, 4, 5, 3, 4, 2, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 1, 3, 4, 5, 4, 5, 1, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 2, 2, 5, 4, 2, 1, 5, 5, 4, 5, 5, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 3, 3, 2, 1, 5, 5, 3, 5, 4, 5, 4, 2, 4, 5, 5, 4, 2, 5, 4, 4, 3, 5, 3, 5, 1, 5, 3, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 3, 5, 2, 5, 3, 2, 5, 4, 5, 5, 3, 3, 2, 2, 2, 2, 4, 1, 5, 1, 5, 4, 5, 5, 5, 2], "5766": [3, 3, 3, 4, 4, 5, 4, 5, 4, 2, 4, 3, 5, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4], "2406": [2, 4, 3, 5, 3, 4, 3, 5, 3, 4, 3, 5, 3, 3, 4, 5, 5, 2, 5, 4, 3, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 3, 3, 2, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 2, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 2, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5, 4, 4], "5310": [4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 2, 3, 4, 3, 3, 5, 5, 3, 4, 4, 4, 5, 5, 4, 1, 4, 3, 5, 2, 2, 4, 5, 4, 4, 5, 3, 5, 2, 4, 2, 2, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 3, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 2, 5, 4, 5, 3, 3, 5], "4731": [3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 3, 2, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4], "1874": [3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 3, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 2, 2, 3, 2, 2, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4], "5059": [3, 4, 5, 3, 5, 2, 3, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 3, 3, 3, 4, 1, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 2, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 5, 1, 3, 4, 4, 1, 3, 4, 5, 3, 4, 4, 3, 5, 4, 2, 2, 5, 4, 3, 5, 4, 3, 4, 1, 4, 2, 5, 1, 4, 3, 3, 1, 3, 2, 4, 3, 4, 1, 3, 4, 4, 4, 3, 4, 5, 4, 3], "5033": [4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3], "1606": [5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 3, 4, 3, 3, 5, 5, 2, 2, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 1, 3, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4, 1, 3, 5, 3, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 3, 5, 3, 3, 5, 5, 5, 4, 4, 5, 4, 5, 3, 4, 3, 5, 4, 4, 3, 3, 5, 2, 5, 3, 3, 5, 4, 3, 3, 2, 5, 1, 5, 5, 5, 3, 4, 4, 2, 3, 4, 5, 3, 4, 5, 3, 5, 2, 3, 3, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 1, 5, 4, 5, 4, 2, 5, 4, 4, 3, 3], "754": [1, 1, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 1, 4, 2, 5, 4, 5, 4, 3, 4, 4, 1, 4, 3, 4, 4, 3, 4, 3, 5, 5, 3, 2, 4, 5, 5, 4, 2, 4, 5, 4, 2, 3, 5, 5, 5, 2, 1, 5, 3, 4, 5, 4, 4, 2, 4, 5, 5, 3, 5, 3, 5, 4, 2, 4, 5, 5, 5, 5, 3, 5, 3, 5, 3], "5716": [2, 4, 5, 4, 5, 2, 3, 2, 5, 5, 4, 5, 4, 4, 2, 3, 2, 4, 2, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 5, 5, 4, 4, 2, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 1, 5, 5, 3, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 2, 5, 4, 3, 5, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 2, 2, 5, 3, 4, 4, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4], "2234": [4, 5, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4], "904": [2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 3, 4, 5, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 2, 3, 3, 2, 5, 4, 5, 4, 3, 4, 4, 2, 5, 3, 1, 3, 3, 3, 4, 3, 3, 4, 2, 3, 5, 1, 5, 1, 3, 4, 4, 4, 1, 3, 4, 3, 1, 5, 3, 5, 5, 1, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 2, 3, 3, 5, 5, 3, 4, 2, 4, 4, 3, 4, 4, 2, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 5, 3, 1, 4, 1, 3, 4, 2, 4, 2, 1, 3, 4, 3, 4, 4, 4, 1, 5, 4, 4, 3, 3, 4, 4, 4, 2, 5, 4, 4, 3, 1, 5, 4, 3, 1, 2, 3, 4, 4, 1, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 3, 5, 4, 3, 3, 4, 3, 5, 3, 2, 4, 4, 2, 3, 1, 4, 4, 1, 3, 4, 2, 4, 2, 2, 4, 3, 5, 3, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 1, 1, 4, 5, 1, 3, 3, 5, 5, 2, 4, 2, 4, 3, 4, 4, 5, 5, 4, 1, 4, 5, 3, 4, 4, 3, 4, 3, 1], "2230": [4, 2, 3, 2, 5, 4, 2, 4, 2, 4, 4, 4, 4, 3, 3, 3, 1, 4, 2, 2, 3, 3, 3, 2, 4, 3, 3, 2, 5, 3, 2, 5, 3, 5, 3, 2, 4, 3, 3, 4, 2, 5, 2, 2, 5, 2, 4, 4, 4, 2, 4, 2, 2, 2, 2, 2, 3, 4, 2, 5, 2, 4, 1, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 5, 4, 5, 2, 4, 5, 3, 3, 3, 4, 3, 3, 2, 4, 3, 2, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 5, 3, 2, 3, 4, 2, 3, 3, 5, 4, 2, 3, 5, 2, 4, 4, 2, 2, 2, 4, 3, 4, 4, 2, 2, 3, 3, 3, 2, 4, 5, 2, 2, 2, 4, 3, 5, 2, 2, 1, 3, 4, 4, 3, 5, 3, 3, 2, 3, 2, 4, 1, 4, 2, 3, 2, 3], "5948": [3, 3, 4, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 1, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 2, 3, 3, 5, 3, 5, 4, 3, 3, 2, 4, 5, 5, 3, 3, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 5, 3, 4, 5, 3, 3, 5, 3, 4, 1, 5, 4, 4, 1, 5, 5, 5, 3, 2, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 2, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 5, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 5, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 3, 5, 4, 4, 5, 4, 2, 5, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 3, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 3, 3, 3, 2, 4, 5, 4, 3, 3, 2, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 2, 5, 5, 5, 5], "3660": [4, 5, 4, 5, 2, 4, 3, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 3, 4, 5, 4, 4, 2, 4, 4, 3, 3, 1, 3, 1, 4, 4, 5, 5, 4, 5, 2, 4, 4, 5, 4, 3], "5873": [5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 3, 4, 4], "1250": [5, 4, 4, 5, 5], "539": [3, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 3, 2, 5, 5, 3, 3, 4, 4, 4, 3, 5, 4, 5, 5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 1, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 3, 5, 3, 3, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3], "2833": [5, 3, 5, 5, 4, 5, 3, 3, 1, 4, 5, 3, 4, 5, 3, 5, 5, 3, 1, 3, 2], "3761": [5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 5, 3, 3, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 2, 2, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 4, 2, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4], "5148": [1, 4, 5, 5, 4, 5, 4, 3, 4, 3, 3, 3, 3, 4, 5, 3, 5, 4, 3, 5, 2, 2, 5, 3, 2, 4, 3, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 4, 3, 5, 2, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4], "5209": [5, 4, 3, 5, 5, 5, 3, 4, 4, 5, 4, 3, 3, 5, 3, 5, 3, 3, 4, 3, 4, 3, 5, 5, 4, 2, 3, 4, 4, 2, 3, 3, 5, 3, 3, 5, 4, 5, 5, 2, 4, 5, 3, 3, 5, 5, 4, 5, 4, 5, 5, 4, 2, 3, 5, 3, 4, 3, 4, 3, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 4, 4, 4, 2, 4, 4, 5, 3, 5, 5, 4, 3, 3, 3, 5, 3, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 2, 3, 5, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5], "3767": [3, 2, 4, 4, 1, 4, 5, 4, 5, 3, 3, 3, 3, 4, 5, 2, 4, 4, 4, 4, 1, 4, 3], "5690": [5, 2, 5, 3, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4], "250": [4, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 3, 4, 4, 3], "85": [3, 1, 1, 3, 4, 2, 2, 2, 5], "652": [2, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 2, 3, 1, 4, 3, 3, 1, 2, 4, 2, 5, 5, 1, 3, 2, 3, 3, 4, 3, 2, 3, 1, 3, 5, 1, 4, 1, 1, 4, 2, 3, 1, 2, 3, 3, 4, 1, 2, 1, 3, 3, 3, 5, 4, 2, 5, 3, 3, 3, 1, 3, 2, 3, 2, 2, 4, 4, 5, 3, 2, 3, 5, 5, 2, 2, 3, 3, 1, 3, 3, 4, 3, 4, 3, 1], "1970": [5, 4, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 3, 5, 2, 5, 4, 3, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 3, 3, 2, 2, 2, 2, 3, 2, 4, 4, 5], "3306": [4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5], "1004": [4, 4, 4, 3, 3, 5, 4, 3, 1, 3, 5, 5, 5, 4, 2, 1, 2, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 5, 3, 4, 3, 3, 1, 4, 4, 1, 3, 3, 3, 3, 5, 4, 4, 4, 4, 2, 5, 4, 2, 4, 3, 2, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 2, 4, 3, 1, 2, 4, 3, 4, 5, 3, 4, 2, 2, 3, 3, 2, 3, 5, 3, 2, 1, 1, 4, 3, 4, 4, 2, 2, 2, 2, 2, 4, 1, 3, 3, 2, 3, 2, 3, 1, 4, 2, 4, 2, 2, 4, 3, 5, 4, 4, 4, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 1, 5, 2, 4, 2, 2, 4, 4, 3, 3, 4, 2, 1, 3, 2, 3, 3, 3, 4, 2, 2, 4, 2, 5, 5, 5, 3, 4, 3, 5, 5, 2, 5, 4, 3, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 4, 5, 2, 2, 1, 4, 3, 1, 3, 2, 4, 2, 4, 5, 4, 5, 1, 3, 3, 4, 2, 4, 5, 4, 4, 1, 1, 4, 1, 4, 2, 3, 2, 4, 1, 3, 4, 1, 3, 5, 2, 4, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 1, 3, 5, 3, 4, 4, 3, 2, 3, 4, 1, 1, 3, 3, 2, 2, 4, 4, 2, 3, 4, 2, 4, 2, 3, 3, 2, 2, 4, 5, 1, 4, 4, 3, 5, 1, 5, 4, 3, 3, 4, 2, 3, 5, 4, 3, 4, 3, 4, 4, 2, 2, 3, 4, 2, 5, 1, 1, 3, 5, 4, 4, 1, 3, 3, 3, 2, 4, 2, 4, 4, 3, 2, 2, 3, 2, 4, 3, 2, 3, 1, 3, 4, 3, 4, 4, 3, 1, 4, 4, 3, 4, 5, 2, 2, 4, 4, 3, 4, 4, 4, 1, 5, 2, 3, 4, 2, 2, 4, 3, 2, 4, 3, 4, 4, 3, 4, 2, 2, 3, 3, 5, 4, 3, 5, 3, 5, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 2, 1, 5, 2, 4, 4, 5, 1, 2, 4, 3, 3, 3, 4, 3, 5, 2, 2, 4, 4, 4, 4, 2, 3, 4, 4, 2, 1, 2, 3, 2, 3, 3], "3630": [2, 3, 2, 4, 5, 3, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 2, 3, 4, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 4, 2, 2, 3, 3, 2, 2, 3, 3, 5, 3, 4, 5, 4, 2, 4, 4, 2, 4, 2, 3, 4, 2, 3, 2, 4, 4, 3, 4, 4, 5, 3, 4, 4, 2, 2, 4, 2, 3, 1, 1, 3, 5, 4, 3, 5, 5, 4, 2, 1, 2, 4, 4, 3, 3, 5, 2, 2, 4, 3, 3, 4, 2, 3, 2, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4], "2374": [3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 2, 3, 3, 4, 5, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 3, 5, 4, 3, 5, 3, 4, 5, 2, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 1, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3], "2082": [4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 3, 4, 4], "1322": [5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 2, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 5, 5, 3, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 5, 2, 4, 4, 5, 4, 4, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 5, 5, 5, 3, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 3, 4, 3, 5, 4, 3, 3, 3, 3, 5, 3, 3, 4, 4, 5, 5, 3, 4, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 3, 3, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 3, 4, 4, 3, 3, 5, 5, 2, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5, 3], "2539": [5, 3, 3, 4, 3, 5, 1, 4, 5, 1, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4], "2910": [1, 4, 5, 5, 4, 4, 3, 5, 5, 2, 4, 4, 4, 4, 5, 4, 3, 2, 5, 2, 2, 5, 5, 2, 1, 5, 2, 4, 4, 5, 5, 4, 4, 4, 1, 5, 3, 5, 5, 5, 2, 5, 2, 1, 4, 5, 4, 3, 3, 5, 5, 3, 3, 5, 1, 4, 3, 2, 5, 1, 4, 4, 4, 5, 4, 2, 5, 1, 4, 4, 4, 5, 3, 2, 4, 2, 3, 1, 3, 3, 3, 4, 2, 2, 3, 5, 4, 3, 3, 2, 2, 3, 2, 1, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 2, 4, 4, 5], "3513": [5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 1, 4, 5, 5, 1, 3, 4, 5, 5, 5, 1, 4, 4, 1, 5, 4, 5, 5, 5, 2, 5, 4, 3, 4, 1, 1, 4, 2, 4, 3, 4, 3, 2, 5, 4, 3, 4, 2, 3, 4, 5, 5, 5, 2, 4, 4, 4, 3, 3, 3, 4, 1, 4, 2, 2, 4, 4, 1, 1, 4, 3, 3, 1, 4, 1, 3, 4, 3, 3, 1, 3, 4, 5, 5, 3, 4, 5, 5, 3, 3, 4, 1, 5, 3, 3, 4, 5, 4, 5, 3, 5, 3, 4, 1, 3, 4, 5, 4, 1, 3, 4, 1, 3, 4, 5, 5, 3, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 1, 4, 3, 1, 5, 4, 4, 4, 1, 3, 1, 2, 3, 5, 1, 3, 4, 2, 3, 4, 3, 1, 3, 4, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 1, 4, 4, 4, 4, 5, 1, 5, 4, 5, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 1, 4, 1, 5, 5, 4, 4, 1, 4, 4, 3, 4, 5, 5, 3, 2, 4, 4, 4, 2, 3, 5, 5, 5, 3, 5, 4, 5, 4, 1, 4, 4, 4, 4, 5, 3, 5], "386": [3, 2, 3, 5, 4, 5, 4, 4, 2, 2, 4, 3, 4, 5, 3, 5, 4, 5, 3, 2, 1, 4, 5, 5, 3, 4, 4, 1, 4, 5, 2, 3, 3, 4, 4, 1, 2, 4, 4, 3, 4, 3, 3, 4, 4, 5, 2, 2, 1, 5, 3, 4, 3, 4, 5, 2, 3, 2, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 2, 5, 3, 4, 3, 5, 3, 5, 4, 2, 3, 3, 5, 4, 2, 1, 1, 4, 4, 4, 3, 1, 4, 4, 3, 4, 1, 4, 3, 5, 5, 4, 4, 3, 2, 3, 5, 5, 4, 1, 1, 3, 2, 4, 3, 4, 4, 3, 3, 1, 3, 5, 5, 1, 3, 1, 4, 2, 4, 4, 5, 3, 3, 5, 4, 4, 4, 2, 5, 1, 3, 4, 5, 5, 5, 4, 5, 4, 2, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 3, 3, 1, 5, 5, 2, 4, 5, 1, 4, 4, 3, 4, 5, 2, 5, 4, 3, 5, 4, 4, 5, 4], "882": [5, 4, 5, 5, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 2, 4, 5, 3, 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 1, 5, 4, 5, 4, 2, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 1, 4, 4], "5207": [4, 4, 5, 1, 4, 3, 4, 4, 5, 5, 4, 2, 4, 3, 4, 5, 5, 5, 4, 4, 4], "1248": [5, 5, 2, 1, 4, 5, 3, 5, 5, 5, 4, 2, 4, 3, 5, 3, 4, 5, 1, 1, 4, 3, 5, 4, 4, 1, 2, 2, 3, 5, 2, 5, 5, 2, 5, 3, 5, 5, 4, 3, 4, 5, 1, 4, 5, 2, 3, 3, 4, 3, 3, 5, 2, 4, 3, 5, 5, 2, 2, 4, 1, 4, 4, 5, 3, 3, 5, 3, 5, 3, 2, 4, 4, 2, 1, 3], "2217": [5, 4, 2, 4, 2, 4, 5, 2, 2, 3, 3, 4, 5, 5, 4, 5, 3, 1, 3, 5, 3, 2, 2, 1, 2, 1, 2, 3, 2, 4, 5, 3, 5, 2], "2333": [3, 1, 5, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 2, 1, 4, 5, 3, 3, 5, 5, 3], "757": [3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 3, 2, 5, 3, 3, 3, 4, 4, 4, 2, 4, 3, 5, 4, 3, 3, 2, 5, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 2, 4, 1, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 2, 4, 4, 4, 3, 2, 1, 4, 3, 3, 4, 3, 4, 2, 3, 5, 3, 2, 3, 2, 4, 3, 2, 4, 2, 3, 3, 4, 5, 4, 4, 2, 4, 3, 4, 5, 4, 4, 3, 4, 2, 3, 5, 5, 2, 3, 3, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 5, 3, 4, 3, 4, 2, 3, 4, 3, 2, 4, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 1, 5, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 2, 5, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 2, 4, 2, 5, 3, 2, 3, 4, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 4, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 2, 2, 5, 2, 3, 3, 3, 5, 2, 2, 4, 5, 2, 4, 3, 4, 3, 3, 2, 4, 5, 3, 3, 3, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 5, 4, 4, 4], "2675": [2, 4, 4, 2, 2, 4, 2, 1, 5, 3, 4, 5, 3, 2, 5, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 5, 3, 3, 3, 2, 3, 3, 4, 4, 2, 5, 3, 3], "2022": [3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 2, 5, 4, 3, 3, 5, 3, 3, 1, 5, 3, 3, 4, 4, 4, 3, 2, 4, 4, 3, 5, 4, 4, 5, 5, 2, 4, 2, 5, 4, 4, 5, 3, 4, 4, 1, 2, 4, 5, 5, 5, 3, 4, 5, 3, 3, 3, 5, 3, 5, 4, 1, 1, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 2, 5, 5, 4, 4, 2, 4, 5, 3, 4, 2, 5, 1, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 2, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4], "832": [4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 1, 4, 4, 4, 2, 1, 4, 4, 4, 4, 4, 1, 3, 4, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 5, 1, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 5, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4], "1775": [4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 1, 5, 4, 4, 5, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 2, 4, 4, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 1, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4], "1119": [4, 4, 2, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 2, 4, 5, 4, 3, 2, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 2, 3, 4, 4, 2, 5, 4, 2, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 3, 5, 4, 2, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 2, 5, 5, 2, 4, 4, 3, 5, 5, 2, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 3, 1, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 3, 5, 3, 3, 5, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 3, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 2, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 5, 2, 4, 2, 5, 4, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 5, 2, 4, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4], "2017": [4, 5, 4, 4, 5, 5, 5, 4, 3, 1, 5, 3, 5, 5, 5, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 2, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 5, 2, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 2, 5, 3, 5, 5, 4, 2, 3, 3, 5, 4, 4, 5, 5, 4, 4, 2, 5, 5, 3, 2, 2, 2, 4, 5], "2393": [4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 5, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 2, 4, 5, 5, 4, 4, 4, 4], "1605": [3, 3, 4, 3, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 5, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 2, 4, 4, 2, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 3, 3, 2, 3, 2, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 4, 2, 2, 2, 5, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 2, 3, 4, 4, 3, 3, 2, 4, 3, 2, 3, 3, 3, 4, 2, 2, 4, 3, 4, 4, 2, 4, 4, 2, 3, 4, 2, 3, 3, 4, 2, 4, 3, 3, 5, 3, 4, 4, 2, 3, 3, 2, 4, 3, 2, 3, 4, 3, 4, 3, 2, 4, 2, 4, 2, 2, 4, 4, 3, 3, 2, 2, 2, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 2, 3, 1, 3, 2, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 3, 3, 3, 5, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 2, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 4, 2, 2, 4, 3, 5, 3, 2, 4, 4, 3, 4, 4, 2, 3, 4, 3, 4, 5, 3, 2, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 2, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 2, 2, 4, 4, 4, 3, 3, 2, 2, 4, 2, 2, 5, 4, 3, 3, 2, 3, 3, 4, 3, 3, 2, 5, 1, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 4, 2, 3, 3, 4, 4, 5, 3, 4, 1, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 3, 2, 3, 3, 2, 4, 2, 2, 4, 2, 2, 2, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 2, 4, 4, 4, 4, 2, 1, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 4, 2, 2, 2, 2, 4, 3, 3, 4, 4, 2, 3, 3, 3, 2, 4, 3, 3, 4, 4, 3, 5, 2, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 2, 3, 4, 3, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 2, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 4, 4, 3, 2, 4, 3, 4, 2, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 4, 4, 3, 4, 3, 2, 4, 3, 5, 4, 3, 4, 3, 4, 5, 3, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 3, 2, 4, 2, 3, 4, 2, 4, 4, 4, 3, 3, 2, 4, 2, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 2, 3, 2, 2, 2, 2, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3], "3559": [4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 4, 2, 4, 5, 5, 4, 4, 5], "1607": [4, 3, 2, 5, 3, 4, 2, 2, 3, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 5, 3, 2, 5, 4, 5, 3, 5, 4, 4, 2, 4, 5, 1, 2, 3, 3, 1, 5, 2, 1, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 2, 4, 2, 4, 2, 2, 4, 4, 4, 2, 3, 3, 4, 3, 2, 3, 4, 2, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 2, 2, 4, 3, 4, 3, 2, 3, 3, 3, 5, 3, 5, 2, 2, 3, 5, 4, 2, 1, 5, 3, 2, 3, 2, 4, 4, 3, 4, 2, 3, 3, 3, 1, 4, 3, 4, 4, 1, 4, 3, 3, 3, 1, 3, 1, 4, 3, 3, 3, 2, 4, 3, 4, 1, 4, 5, 3, 3, 1, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 5, 4, 4, 3, 2, 3, 3, 2, 2, 2, 5, 4, 2, 3, 3, 3, 2, 4, 2, 5, 3, 3, 4, 4, 4, 3, 4, 2, 1, 2, 4, 2, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3], "431": [4, 3, 5, 4, 2, 4, 4, 5, 2, 5, 5, 3, 3, 3, 1, 4, 2, 5, 3, 4, 4, 2, 4, 3, 4, 4, 5, 4, 5, 1, 4, 4, 4, 4, 4, 2, 4, 2, 3, 3, 3, 4, 5, 3, 3, 2, 1, 1, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 3, 4, 4, 2], "1108": [4, 3, 5, 4, 5, 4, 4, 2, 5, 4, 5, 3, 4, 5, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 5, 5, 1, 4, 3, 5], "605": [4, 2, 3, 4, 5, 5, 2, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 4, 5, 5, 5, 1, 4, 4, 2, 2, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 2, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4], "5651": [3, 5, 5, 3, 4, 4, 5, 5, 5, 2, 4, 2, 5, 4, 4, 5, 4, 3, 1, 4, 3, 5, 3, 3, 5, 4, 5, 3, 4, 4, 5], "4386": [2, 3, 3, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 4, 4, 3, 1, 2, 4, 3, 1, 4, 4, 2, 4, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 1, 3, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 3, 1, 3, 3, 5, 2, 5, 4, 5, 3, 4, 2, 1, 4, 3, 4, 5, 3, 4, 3, 1, 2, 5, 2, 4, 3, 5, 1, 3, 3, 5, 4, 3, 2, 2, 3, 5, 3, 3, 2, 5, 3, 3, 3, 5, 3, 3, 4, 3, 3, 5, 2, 4, 2, 5, 1, 4, 3, 3, 3, 5, 4, 4, 3, 1, 3, 1, 1, 5, 5, 2, 4, 4, 3, 5, 3, 3, 4, 1, 4, 4, 3, 3, 4, 1, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 5, 2, 4, 3, 4, 5, 3, 2, 1, 3, 5, 4, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 2, 3, 2, 4, 4, 4, 3, 2, 5, 3, 5, 3, 3, 4, 3, 3, 3, 5, 5, 3, 4, 3, 5, 4, 5, 4, 4, 3, 3, 1, 3, 4, 4, 3, 5, 5, 5, 1, 5, 5, 3, 4, 5, 3, 5, 3, 2, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 4, 5, 4, 5, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 1, 5, 3, 5, 5, 5, 4, 3, 3, 3, 2, 3, 5, 3, 4, 4, 3, 3, 5, 5, 4, 1, 5, 5, 3, 3, 3, 3, 4, 5, 4, 1, 3, 4, 1, 3, 4, 3, 5, 4, 1, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 2, 4, 5, 3, 5, 3, 3, 4, 4, 4, 5, 5, 3, 4, 5, 3, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 1, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 1, 5, 3, 3, 3, 4, 1, 1, 2, 5, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 4, 4, 5, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 3, 3, 4, 2, 2, 4, 3, 4, 4, 2, 4, 5, 4, 3, 4, 1, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 4, 3, 5, 4, 2, 5, 5, 1, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 5, 5, 1, 4, 3, 5, 3, 2, 3, 3, 5, 3, 5, 4, 4, 4, 3, 3, 5, 2, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 4, 5, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 5, 3, 3, 4, 3, 3, 3, 2, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 2, 4, 4, 4, 3, 5, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 5, 2, 3, 3, 4, 4, 4, 3, 5, 3, 1, 3, 3, 4, 3, 3, 4, 3, 3, 2, 1, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 2, 4, 2, 3, 5, 3, 4, 4, 2, 2, 3, 4, 4, 5, 5, 4, 3, 3, 3, 2, 4, 3, 2, 3, 4, 4, 3, 5, 4, 3, 1, 4, 5, 5, 5, 5, 4, 3, 5, 3, 4, 5, 1, 4, 4, 4, 2, 4, 5, 5, 1, 2, 5, 5, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 5, 5, 4, 5, 3, 3, 5, 1, 2, 2, 4, 4, 2, 4, 5, 5, 2], "4484": [4, 5, 5, 5, 5, 1, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 1, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 1, 4, 4, 4, 5, 4, 4, 1, 2, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 3, 3, 5, 5, 5, 4, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 1, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 5, 5, 4, 5, 1, 5, 5, 4, 3, 2, 5, 4, 1, 1, 5, 4, 4, 4, 5, 5, 5, 5, 5, 1, 4, 5, 1, 4, 5, 1, 1, 1, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 1, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 3], "1037": [3, 4, 2, 4, 2], "1285": [4, 4, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 2, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 2, 5, 5, 3, 5, 4, 4, 3, 4, 3, 3, 5, 5, 5, 1, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 1, 2, 5, 2, 5, 3, 5, 3, 3, 5, 1, 4, 5, 3, 4, 2, 5, 4, 3, 3, 5, 2, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 4, 2, 3, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 3, 3, 4, 5, 2, 3, 5, 5, 3, 2, 4, 3, 2, 5, 4, 5, 1, 5, 4, 4, 3, 4, 5, 5, 2, 4, 3, 2, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 2, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 1, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 2, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 3, 5, 3, 1, 4, 4, 5, 5, 4, 3, 5, 4, 3, 5, 3, 5, 5, 3, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 3, 3, 4, 4, 2, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 2, 4, 3, 5, 5, 5, 4, 4, 2, 4, 3, 1, 4, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 5, 3, 3, 2, 3, 5, 3, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 3, 5, 4, 4, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 4, 2, 5, 5, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 1, 5, 5, 2, 3, 5, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 1, 1, 5, 1, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 2, 1, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 3, 2, 5, 2, 3, 1, 4, 2, 4, 3, 4, 4, 1, 4, 3, 5, 5, 5, 5, 3, 3, 5, 4, 4, 1, 4, 3, 3, 3, 3, 2, 2, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 1, 4, 5, 5, 5, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 5, 3, 5, 4, 4, 3, 5, 3, 5, 4, 2, 4, 3, 3, 5, 5, 3, 4, 5, 2, 5, 3, 3, 3, 3, 4, 3, 4, 2, 5, 3, 5, 5, 4, 3, 5, 5, 2, 5, 2, 4, 3, 4, 5, 4, 4, 4, 3, 2, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 2, 5, 3, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 5, 5, 3, 4, 4, 5, 4, 2, 3, 3, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 2, 2, 2, 1, 5, 3, 5, 4, 4, 5, 5, 2, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 5, 2, 1, 1, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 2, 5, 1, 4, 2, 5, 5, 3, 5, 4, 3, 1, 4, 5, 5, 1, 3, 3, 3, 5, 4, 3, 5, 5, 5, 4, 5, 3, 2, 4, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 2, 4, 3, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 1, 4, 3, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 2, 1, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 2, 4, 4, 4, 4, 3, 5, 3, 4, 5, 2, 3, 3, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 5], "1065": [4, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 1, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 3, 5, 3, 3, 5, 3, 4, 3, 4, 5, 2, 3, 3, 5, 5, 3, 4, 4, 5, 3, 3, 5, 3, 5, 3, 4, 4, 3, 2, 4, 4, 4], "2448": [5, 4, 5, 4, 4, 5, 2, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 3, 4, 4, 5, 3, 3], "1511": [5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 2, 3, 4, 3, 5, 5, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 3, 2, 4, 4, 4], "71": [4, 4, 5, 4, 3, 4, 5, 5, 3, 4, 5, 4], "2653": [5, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 2, 4, 4], "4500": [1, 4, 4, 3], "5504": [3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 2, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 4, 2, 4, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 3, 2, 2, 5, 5, 5, 5, 4, 1, 3, 4, 3, 5, 5, 3, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 3, 5, 4, 3, 5, 5, 5, 3, 4, 5, 5, 3, 5, 3, 4, 5, 3, 2, 4, 4, 5, 5, 4, 4, 5, 3, 1, 2, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 1, 5, 5, 2, 4, 3, 4, 5, 4, 5, 2, 3, 5, 3, 5, 2, 4, 4, 3, 5, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 5, 4, 5, 5, 5, 3, 1, 5, 5, 2, 4, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 5, 5, 3, 3, 5, 4, 5, 4, 3, 5, 4, 5, 3, 2, 2, 5, 4, 4, 4, 3, 4, 1, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 4, 2, 4, 3, 3, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 2, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5], "5987": [3, 1, 4, 3, 2, 3, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 1, 1, 3, 3, 3, 3, 4, 4, 5, 2, 4, 1, 4, 5, 2, 2, 4, 3, 5, 3, 4, 1, 5, 1, 4, 3, 4, 2, 4], "3060": [4, 4, 4, 1, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3], "5825": [5, 5, 5, 4, 2, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 4, 2, 5, 5, 4], "1622": [5, 4, 3, 4, 4, 3, 2, 3, 3, 5, 4, 2, 4, 4, 5, 5, 4, 5, 4], "5184": [5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 2, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 3, 4, 2, 4, 5, 4, 5, 3, 3, 4, 5, 5, 5, 5, 2, 3, 3, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 2, 5, 1, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 3, 5, 5, 3, 5, 5, 3, 1, 1, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 3, 5, 2, 5, 4, 5, 1, 3, 3, 3, 3, 2, 4, 5, 3, 2, 4, 5, 5, 3, 2, 4, 5, 4, 5, 3, 5, 5, 4, 4, 2, 5, 5, 3, 1, 5, 1], "1539": [5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5], "2323": [3, 3, 4, 3, 2, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 3, 2, 5, 4, 5, 4, 4, 2, 4, 4, 3, 2, 3, 5, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 5, 3, 4, 5, 3, 3, 5, 3, 5, 4, 4, 5, 5, 2, 4, 5, 3, 4, 4, 4, 3, 4, 2, 5, 3, 3, 4, 4, 3, 4, 5, 4, 2, 3, 3, 3, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 5, 5, 2, 4, 2, 3, 4, 3, 4, 4, 3, 4, 5, 3, 2, 3, 2, 3, 5, 4, 4, 4, 1, 2, 5, 4, 5, 3, 4, 2, 5, 5, 3, 3, 5, 3, 4, 4, 2, 2, 4, 5, 4, 5, 4, 3, 3, 4, 2, 2, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 2, 4, 2, 4, 4, 3, 2, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 4, 3, 5, 5, 4, 2, 4, 4, 3, 4, 5, 2, 2, 4, 5, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 5, 3, 4, 2, 5, 3, 4, 5, 4, 5, 3, 4, 4, 2, 3, 5, 5, 3, 5, 3, 4, 3, 3, 4, 2, 5, 5, 4, 4, 4, 5, 3, 5, 2, 3, 5, 4, 3, 4], "1105": [5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 2, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 2, 3, 5, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 3, 1, 4, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 1, 3, 4, 5, 5, 4, 3, 4, 4, 3, 2, 4, 4, 3, 5, 5, 5, 5, 3, 5, 3, 2, 3, 5, 2, 4, 2, 2, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5], "1337": [3, 5, 5, 4, 3, 5, 3, 3, 5, 5, 3, 4, 3, 5, 2, 3, 4, 4, 4, 3, 3, 3, 3, 2, 5, 3, 3, 4, 4, 3, 5, 2, 4, 5, 5, 5, 3, 3, 3, 5, 4, 5, 5, 3, 4, 5, 4, 3, 3, 5, 4, 4, 4], "45": [2, 5, 5, 4, 3, 2, 3, 3, 1, 3, 4, 4, 3, 4, 4, 4, 2, 3, 5, 3, 4, 2, 2, 1, 2, 3, 3, 3, 4, 3, 1, 4, 3, 3, 2, 4, 5, 3, 2, 2, 3, 3, 3, 2, 3, 5, 2, 3, 3, 2, 4, 4, 4, 3, 2, 4, 3, 1, 3, 3, 4, 2, 4, 3, 4, 3, 2, 3, 1, 1, 2, 3, 3, 4, 2, 2, 4, 4, 1, 4, 3, 4, 2, 2, 2, 3, 2, 5, 4, 4, 3, 5, 2, 2, 3, 3, 5, 5, 4, 2, 3, 4, 4, 5, 5, 1, 4, 1, 3, 3, 3, 4, 4, 3, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 3, 1, 2, 1, 5, 2, 2, 3, 4, 3, 2, 5, 5, 3, 5, 3, 3, 2, 4, 4, 3, 3, 2, 5, 2, 1, 1, 5, 3, 3, 2, 3, 3, 3, 2, 5, 4, 3, 4, 4, 3, 2, 3, 5, 3, 2, 4, 3, 3, 3, 1, 2, 2, 1, 2, 3, 3, 5, 5, 4, 4, 4, 3, 3, 2, 5, 4, 3, 3, 2, 3, 4, 3, 3, 3, 1, 3, 2, 2, 1, 3, 3, 3, 4, 1, 3, 1, 3, 2, 4, 1, 4, 2, 3, 4, 3, 4, 3, 3, 5, 4, 3, 1, 3, 4, 3, 3, 2, 3, 2, 4, 2, 4, 4, 3, 2, 4, 4, 2, 2, 4, 1, 3], "593": [3, 4, 3, 4, 5, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 3, 5, 3, 5, 3, 4, 2, 2, 2, 4, 3, 3, 1, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 2, 3, 3, 5], "1320": [4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 2, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 2, 4, 3, 3, 5, 3, 5, 5, 4, 5, 2, 3, 4, 3, 3, 1, 2, 4, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 3, 3, 3, 5, 4, 4, 3, 5, 5, 2, 5, 5, 4, 3, 3, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 3], "3954": [2, 4, 5, 4, 5, 2, 3, 3, 3, 3, 4, 5, 3, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 5, 4, 5, 4, 2], "2609": [4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 2, 4, 4, 3, 3, 4, 2, 3, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 2, 4], "1906": [4, 4, 5, 5, 5, 4, 3, 3, 1, 1, 4, 5, 3, 4, 3, 5, 2, 3, 5, 4, 5, 4, 4], "499": [4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 2, 5, 5, 3, 5, 5, 5, 3, 3, 2, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 3, 5, 5, 5, 5, 3, 3, 4, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 2, 2, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 4, 5, 4, 5, 3, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 5, 3, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 3, 5, 5, 5, 5, 1, 5, 3, 3, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5], "4977": [2, 4, 5, 2, 3, 2, 4, 3, 1, 3, 5, 4, 2, 2, 5, 5, 4, 5, 4, 1, 3, 4, 4, 4, 5, 5, 4, 3, 3, 4, 3, 1, 5, 5, 3, 2, 3, 3, 4, 2, 2, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 5, 2, 1, 3, 5, 3, 5, 5, 4, 2, 4, 3, 4, 4, 5, 5, 4, 1, 2, 5, 4, 3, 5, 3, 3, 3, 4, 2, 1, 3, 4, 4, 3, 1, 4, 3, 2, 3, 1, 1, 1, 3, 1, 2, 3, 3, 3, 2, 1, 3, 3, 4, 2, 2, 1, 3, 2, 3, 3, 5, 1, 4, 2, 1, 1, 3, 3, 1, 4, 4, 2, 2, 1, 4, 2, 2, 3, 2, 5, 5, 2, 5, 5, 2, 4, 3, 3, 4, 4], "3838": [4, 2, 3, 3, 2], "3188": [5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 3, 3, 5, 4, 3, 3, 5], "5096": [2, 4, 5, 5, 4, 5, 3, 4, 2, 2, 5, 2, 4, 1, 3, 4, 4, 3, 2, 3, 4, 4, 1, 4, 1, 1, 5, 2, 3, 3, 1, 5, 3, 4, 2, 4, 3, 5, 2, 4, 5, 4, 3, 2, 5, 2, 3, 2, 3, 2, 4, 4, 3, 4, 5, 4, 1, 4, 3, 1, 2, 5, 5, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 5, 1, 5, 5, 4, 5, 3, 3, 3, 4, 4, 4, 1, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 2, 5, 4, 5, 3, 5, 2, 3, 1, 5, 4, 3, 5, 1, 3, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 3, 5, 5, 4, 1, 4, 3, 5, 3, 5, 3, 2, 5, 3, 4, 4, 4, 3, 2, 4, 4, 4, 2, 3, 1, 1, 5, 3, 4, 5, 3, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 1, 4, 5, 2, 3, 4, 2, 1, 2, 3, 5, 4, 3, 3, 1, 2, 1, 2, 5, 4, 1, 5, 2, 4, 3, 2, 4, 2, 2, 4, 4, 4, 1, 4, 3, 4, 5, 4, 1, 4, 5, 1, 2, 3, 3, 4, 3, 1], "164": [5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5], "5616": [2, 4, 3, 5, 2, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 5, 3, 5, 5, 5, 3, 4, 3, 2, 4, 1, 1, 1, 1, 1, 4, 4, 5, 4, 3, 5, 5, 5, 5, 3, 5, 3, 3, 3, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 2, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 2, 3, 5, 1, 5, 3, 3, 5, 4, 3, 5, 4, 4, 2, 3, 4, 2, 4, 5, 4, 2, 5, 3, 3, 5], "3318": [4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 2, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 2, 5, 4, 5], "5722": [5, 4, 5, 4, 2, 4, 5, 3, 1, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5, 1, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 1, 4, 5, 5, 2, 2, 4, 2, 3, 5, 4, 5, 5, 5, 4, 3, 3, 2, 4, 4, 3, 2, 4, 3, 1, 5, 1, 5, 4, 4, 4, 5, 4, 4, 5, 4, 2, 3, 5, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 3, 3, 2, 5, 3, 3, 5, 4, 2, 5, 5, 4, 5, 2, 1, 1, 3, 2, 4, 1, 3, 4, 4, 5, 4, 5, 5, 2, 4, 4, 2, 3, 5, 4, 4, 4, 4, 5, 5, 2, 4, 3, 3, 4, 4, 5, 5, 3, 4, 5, 4, 2, 5, 4, 1, 5, 3, 4, 4, 3, 5, 4, 5, 1, 5, 3, 1, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 1, 4, 5, 4, 5, 3, 5, 1, 4, 5, 5, 5, 5, 2, 2, 5, 4, 2, 4, 3, 4, 3, 3, 4, 4, 5, 4, 2, 3, 5, 4, 4, 5, 4, 1, 4, 2, 1, 1, 3, 2, 5, 2, 1, 5, 5, 5, 2, 1, 2, 5, 1, 5, 4, 5, 4, 4, 2, 4, 4, 4, 3, 2, 5, 3, 5, 5, 4, 1, 1, 3, 5, 3, 5, 2, 5, 5, 4, 2, 2, 4, 4, 3, 2, 3, 4, 4, 4, 4, 1, 5, 4, 5, 3, 4, 4, 1, 2, 3, 5, 3, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 2, 4], "4637": [4, 2, 4, 5, 5, 3, 1, 4, 5, 1, 5, 3, 3, 5, 5, 2, 4, 3, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 5, 3, 4, 4, 2, 2, 2, 3, 4, 3, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 2, 3, 3, 4, 5, 2, 1, 2, 4, 4, 5, 4, 2, 3, 4, 2, 4, 4, 5, 4, 3, 5, 5, 3, 5, 3, 3, 2, 3, 2, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 1, 2, 3, 4, 2, 5, 1, 1, 1, 4, 4, 2, 3, 5, 2, 4, 5, 3, 4, 3, 5, 2, 5, 3, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 1, 1, 3, 5, 3, 5, 2, 2, 5, 4, 5, 4, 2, 1, 1, 1, 5, 5, 4, 1, 1, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 2, 5, 2, 4, 2, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 2, 4, 3, 4, 3, 4, 5, 5, 3, 3, 3, 4, 2, 1, 5, 4, 3, 4, 5, 4, 5, 4, 2, 5, 2, 1, 4, 3, 4, 3, 2, 2, 2, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 4, 4, 3, 3, 2, 4, 2, 2, 4, 4, 5, 3, 5, 4, 3, 4, 3, 5, 1, 1, 1, 1, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 2, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 2, 2, 2, 3, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 3], "2266": [4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 3, 2, 3, 5, 4, 5, 3, 5, 5, 3, 4, 5, 3, 4, 4, 5, 4, 3, 5, 4, 3, 3, 4, 5, 3, 5, 2, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 2, 5, 5, 1, 5, 3, 5, 4, 5, 5, 4, 4, 2, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 5], "3931": [5, 3, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 2, 5, 2, 4, 2, 4, 1, 5, 4, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 4, 2, 5, 4, 2, 4, 4, 5, 5, 3, 4, 5, 3, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 3, 5, 3, 3, 3, 2, 3, 3, 4, 5, 4, 4, 2, 1, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 1, 3, 4, 5, 4, 5, 4, 3, 1, 4, 3, 2, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 2, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 2, 3, 4, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 4, 4, 3, 3, 5, 4, 2, 3, 3, 2, 3, 4, 2, 3, 3, 2, 2, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 2, 5, 3, 3, 3, 4, 5], "2694": [4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 5, 4, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5], "1235": [3, 4, 1, 4, 5, 2, 4, 5, 2, 4, 5, 5, 4, 2, 4, 5, 2, 3, 5, 5, 5, 3, 5, 5, 3, 5, 2, 5, 5, 5, 2, 3, 4, 5, 2, 5, 3], "4681": [3, 1, 3, 5, 5, 3, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 4, 2, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 2, 3, 5, 4, 4, 3, 4, 5, 5, 3, 2, 2, 5, 4, 5, 3, 4, 4, 3, 2, 3, 2, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 2, 4, 4, 5, 2, 5, 3, 4, 5, 3, 4, 3, 5, 5, 3, 5, 3, 4, 5, 5, 5, 3, 5, 3, 4, 4, 4, 4, 5, 2, 4, 2, 4, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 3, 3, 5], "587": [3, 2, 3, 3, 2, 2, 4, 5, 4, 4, 3, 3, 1, 2, 3, 3, 3, 4, 3, 3, 1, 3, 4, 3, 4, 2, 4, 2, 3, 3, 4, 1, 5, 3, 2, 4, 5, 2, 3, 2, 1, 2, 3, 5, 2, 4, 5, 4, 2, 3, 4, 3, 2, 3, 4, 4, 4, 2, 2, 3, 3, 5, 4, 2, 3, 4, 2, 3, 3, 1, 4, 3, 5, 4, 1, 4, 4, 4, 2, 2, 3, 3, 2, 5, 2, 3, 2, 3, 4, 5, 3, 4, 2, 1, 5, 3, 2, 1, 3, 4, 2, 3, 3, 3, 2, 2, 4, 2, 2, 3, 4, 5, 2, 4, 3, 2, 3, 4, 5, 3, 4, 4, 5, 2, 2, 3, 5, 4, 3, 5, 2, 1, 4, 4, 2, 2, 4, 1, 2, 3, 2, 4, 3, 3, 3, 3, 2, 5, 3, 2, 4, 3, 4, 4, 3, 1, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 1, 4, 2, 5, 2, 4, 2, 4, 2, 4, 2, 3, 1, 4, 3, 5, 3, 2, 3, 3, 5, 1, 3, 2, 1, 3, 4, 3, 3, 3, 2, 2, 4, 3, 4, 3, 2, 1, 3, 4, 3, 3, 3, 2, 2, 3, 3, 2, 4, 3, 3, 4, 5, 4, 5, 5, 2, 2, 4, 3, 4, 3, 4, 3, 3, 3, 1, 5, 4, 5, 1, 4, 3, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 4, 3, 1, 4, 3, 2, 4, 2, 3, 2, 5, 3, 2, 3, 3, 3, 2, 3, 1, 4, 3, 3, 3, 3, 4, 2, 1, 4, 4, 3, 3, 2, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 1, 4, 5, 5, 5, 2, 2, 3, 2, 3, 2, 5, 3, 3, 4, 2, 5], "3570": [5, 3, 2, 3, 3, 5, 5, 4, 3, 1, 1, 2, 5, 1, 2, 3, 3, 2, 3, 4, 5], "5936": [5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5], "2938": [5, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 5, 5, 2, 5, 4, 1, 4, 4, 3, 4, 5, 5, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 4, 4, 3, 1, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 2, 5, 4, 4, 5, 4, 4, 4, 2, 3, 5, 3, 2, 4, 4, 2, 4, 4, 2, 4, 4, 4, 4, 2, 5, 4, 5, 1, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 3, 2, 3, 5, 4, 4, 3, 3, 5, 4, 5, 4, 2, 4, 4, 2, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 1], "1008": [4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4], "3417": [4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 2, 4, 3, 2, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 5, 3, 1, 1, 4, 3, 3, 4, 4, 5, 5, 4, 4, 2, 5, 4, 4, 3, 4, 5, 4, 4, 4, 2, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 1, 5, 4, 4, 5, 5, 3], "5068": [4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4], "3531": [5, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 2, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 1, 5, 4, 4, 4, 5, 4, 4, 5, 5], "4270": [3, 3, 3, 3, 2, 3, 3, 4], "2359": [5, 5, 5, 2, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 2, 2, 4, 4, 5, 3, 4, 3], "2349": [2, 4, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 1, 3, 3, 2, 1, 3, 3, 1, 1, 3, 3, 1, 2, 4, 3, 4, 3, 4, 4, 3, 4, 1, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 2, 3, 4, 2, 1, 5, 1, 3, 3, 4, 2, 3, 2, 4, 3, 3, 4, 3, 2, 3, 2, 4, 2, 4, 4, 2, 3, 2, 4, 4, 3, 2, 2, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 2, 4], "460": [2, 3, 4, 3, 5, 1, 5, 3, 4, 4, 4, 5, 4, 3, 1, 4, 3, 5, 4, 1, 3, 4, 2, 4, 4, 4, 4, 4, 1, 4, 2, 3, 4, 3, 1, 3, 4, 5, 4, 2, 3], "1576": [5, 4, 4, 5, 4, 4, 2, 4, 4, 5, 4, 1, 5, 4, 2, 4, 5, 2, 5, 3, 5, 2, 3, 2, 5, 5, 4, 3, 5, 5, 5, 3, 3, 5, 3, 4, 4, 4, 5, 4], "283": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5], "2429": [5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 2, 5, 4, 5, 5, 3, 4, 2, 4, 5, 3, 3, 5, 1, 5, 3, 2, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 3, 2, 5, 4, 4, 5, 5, 4, 5, 3, 2, 5, 5, 1, 4, 2, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 2, 4, 3, 5, 3, 3, 4, 5, 5, 5], "4943": [5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 5, 1, 4], "964": [4, 5, 4, 3, 5, 5, 4, 3, 3, 5, 5, 3, 4, 3, 4, 5, 2, 5, 3, 3, 5, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 2, 3, 3, 4, 3, 5, 2, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3], "2508": [4, 3, 2, 2, 4, 5, 4, 4, 4, 2, 3, 2, 3, 2, 3, 4, 3, 3], "5385": [2, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4], "791": [4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 2, 4, 4, 5, 3, 4, 2, 2, 3, 4, 5, 4, 5, 4, 2, 2, 5, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 5, 2, 3, 5, 4, 5, 5, 3, 5, 5, 4, 3, 2, 4, 3, 2, 5, 4, 3, 2, 3, 4, 4, 3, 4, 5, 4, 5, 5, 3, 3, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 2, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 3, 4, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 2, 3, 5, 3, 5, 5, 5, 5, 5, 2, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 2, 4, 3, 5, 2, 3, 5, 2, 4, 2, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 2, 4, 4, 4, 5, 3, 5, 5, 3, 5, 4, 4, 4, 3, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 2, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 5, 3, 5, 4], "2257": [2, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 3, 3, 5], "4399": [3, 4, 2, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 1, 3, 3, 2, 3, 2, 4, 3, 1, 4, 2, 3, 3], "2965": [4, 4, 4, 3, 3, 4, 5, 2, 2, 5, 2, 4, 3, 4, 5, 4, 3, 3, 3, 5, 3, 4, 5, 3], "5249": [2, 3, 4, 3, 3, 3, 3, 1, 4, 4, 4, 5, 4, 2, 4, 3, 5, 3, 4, 4, 4, 3, 2, 4, 5, 2, 2, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 2, 1, 4, 3, 4, 4, 3, 4, 4, 1, 3, 4, 4, 4, 4, 3, 1, 3, 4, 4, 3, 1, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 1, 1, 5, 2, 5, 1, 4, 4, 4, 1, 4, 3, 4, 2, 4, 4, 4, 4, 2, 3, 2, 4, 3, 4, 2, 3, 2, 2, 2, 3, 4, 4, 4, 4, 3, 1, 4, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 1, 2, 4, 2, 3, 4, 2, 4, 4, 4, 3, 2, 3, 2, 3, 1, 5, 3, 2, 4, 3, 4, 2, 4, 3, 4, 3, 3, 5, 3, 5, 2, 3, 3, 4, 4, 3, 2, 4, 4, 2, 3, 1, 3, 2, 4, 2, 3, 4, 4, 3, 4, 3, 1, 2, 3, 3, 4, 3, 3, 4, 4, 2, 3, 2, 3, 4, 4, 1, 2, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 3, 2, 3, 5, 5, 2, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 1, 2, 4, 3, 4, 1, 2, 2, 4, 2, 3, 4, 5, 2, 3, 3, 2, 4, 3, 3, 4, 3, 5, 2, 4, 2, 3, 5, 4, 4, 1, 4, 2, 4, 2, 3, 3, 4, 4, 4, 5, 2, 3], "3772": [3, 5, 5, 5, 3, 5, 5, 1, 5, 4, 1, 5, 3, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 5, 3, 5], "2845": [4, 5, 4, 4, 5, 5, 5, 2, 5, 4, 5, 1, 5, 5, 4, 4, 4, 5, 5, 2, 5, 1, 4, 4, 3, 5, 4, 1, 4, 2, 2, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5], "1488": [5, 3, 3, 4, 2, 5, 3, 4, 4, 5, 4, 1, 5, 4, 5, 5, 5, 5, 5, 4], "95": [4, 1, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 3, 3, 5, 2, 4, 5, 4, 2, 4, 4, 5, 4, 1, 4, 4, 3, 3, 3, 5, 4, 4, 4, 2, 3, 3, 4, 5, 3, 4, 2, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 5, 3, 5, 3, 3, 3, 3, 2, 5, 1], "3809": [4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4], "3396": [3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 2, 2, 5, 3, 4, 5], "4588": [4, 5, 5, 4, 3, 5, 3, 4, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 3, 5, 3], "931": [4, 4, 2, 4, 4, 4, 5, 4, 5, 3, 3, 2, 4, 4, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 3, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 4, 5, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 1, 3, 4, 4, 5, 5, 3, 4, 3, 5, 4, 3, 3, 3, 5, 3, 4, 3, 4, 5, 3, 5, 5, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 5, 3, 3, 3, 3, 5, 4, 5, 5, 3, 3, 3, 2, 4, 5, 3], "2502": [5, 4, 4, 2, 3, 5, 4, 3, 4, 3, 3, 5, 1], "698": [2, 2, 1, 4, 5, 3, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 2, 2, 3, 4, 3, 5, 4, 4, 3, 5, 3, 3, 5, 5, 4, 5, 4, 5, 4, 2, 5, 2, 3, 4, 4, 5, 4, 2, 2, 4, 2, 3, 1, 5, 3, 4, 4, 4, 2, 4, 2, 3, 5, 3, 3, 2, 4, 2, 3, 5, 3, 4, 5, 2, 4, 5, 4, 1, 4, 3, 2, 4, 5, 5, 4, 3, 3, 5, 2, 5, 4, 3, 3, 5, 3, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 1, 5, 2, 4, 5, 2, 5, 3, 4, 2, 4, 5, 5, 3, 5, 4, 5, 3, 4, 2, 4, 2, 4, 1, 4, 2, 3, 4, 3, 5, 2, 4, 1, 3, 4, 2, 4, 3, 4, 4, 5, 4, 5, 2, 5, 4, 4, 2, 3, 5, 3, 3, 5, 5, 5, 4, 1, 3, 2, 5, 3, 3, 2, 3, 2, 3, 5, 5, 2, 5, 3, 4, 3, 5, 4, 5, 2, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 1, 5, 2, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 2, 3, 3, 2], "5837": [3, 5, 5, 3, 4, 5, 3, 4, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 5, 1, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 3, 4, 1, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 2, 3, 3, 3, 5, 2, 3, 5, 4, 4, 5, 4, 3, 5, 2, 4, 5, 3, 4, 5, 4, 5, 3, 3, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 5, 2, 4, 5, 4, 3, 5, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 3, 2, 5, 2, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 2, 4, 4, 5, 4, 4, 5, 2, 5, 1, 5, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 2, 5, 5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 5, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 4, 5, 4, 2, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 2, 4, 5, 4, 4, 3, 4, 4, 4, 3, 1, 4, 4, 4, 5, 5, 2, 4, 4, 4, 2, 5, 5, 4, 3, 2, 5, 5, 4, 4, 5, 3, 5, 3, 3, 4, 4, 5, 3, 4, 4, 2, 3, 5, 5, 4, 5, 3, 3, 4, 4, 4, 2, 3, 4, 3, 5, 4, 5, 3, 2, 4, 3, 5, 3, 3, 4, 4, 3, 4, 3, 4, 5, 2, 4, 2, 5, 5, 5, 5, 5, 2], "2507": [5, 4, 2, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 5, 2, 2, 4, 5, 4, 4, 2, 4, 3, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 2, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 2, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 4, 5, 5, 2, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 5, 2, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 2, 3, 5, 4, 5, 4, 4, 5, 5, 3, 2, 4, 5, 1, 4, 4, 4, 4, 3, 4, 5, 5, 1, 3, 5, 5, 5, 2, 5, 3, 5, 3, 4, 4, 5, 4, 5, 4, 1, 2, 3, 5, 2, 2, 5, 4, 5, 3, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 2, 2, 2, 4, 4, 2, 4, 5, 3, 4, 3, 4, 5, 5, 4, 5, 5, 2, 5, 4, 2, 4, 4, 4, 4, 5, 5, 4, 2, 4, 5, 5, 5, 4, 3, 2, 5, 5, 1, 5, 4, 3, 4, 4, 2, 1, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 1, 4, 4, 5, 3, 3, 4, 3, 3, 5, 5, 5, 2, 3, 4, 2, 5, 2, 4, 1, 5, 5, 5, 4, 2, 2, 4, 5, 5, 2, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 1, 3, 3, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 2, 4, 2, 4, 4, 2, 4, 2, 4, 5, 5, 5, 5, 2, 4, 3, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 2, 5, 4, 5, 2, 2, 5, 5, 4, 5, 5, 5, 2, 5, 5, 2, 4, 3, 2, 3, 3, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 3, 5, 4, 3, 5, 4, 3, 2, 5, 4, 4, 2, 4, 4, 4, 4, 5, 4, 1, 3, 3, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 4, 1, 5, 3, 3, 4, 2, 5, 4, 3, 4, 5, 5, 5, 5, 2, 2, 5, 4, 3, 4, 3, 3, 2, 3, 5, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 3, 4, 5, 3, 5, 5, 4, 5, 3, 3, 1, 4, 4, 1, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 3, 3, 5, 5, 3, 2, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 2, 5, 2, 4, 3, 5, 5, 3, 4, 5, 3, 2, 4, 5, 3, 3, 3, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 4, 2, 5, 1, 4, 5, 4, 5, 3, 4, 3, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 2, 5, 4, 5, 3, 5, 5, 3, 5, 4, 3, 4, 2, 3, 5, 4, 4, 4, 5, 4, 5, 2, 5, 4, 3, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 3, 3, 5, 3, 4, 4, 5, 4, 3, 4, 4, 3, 5, 5, 2, 4, 4, 5, 4, 4, 2, 4, 4, 2, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 3, 3, 4, 3, 4, 3, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 2, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 2, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 3, 5, 4, 5, 3, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 2, 5, 5, 4, 2, 5, 3, 4, 5, 5, 5, 3, 5, 5, 5], "3282": [4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 2, 5, 3, 5, 5, 5, 5], "3868": [4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 5, 2, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 2, 4, 3, 3, 4, 3, 3, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 3, 2, 2, 4, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 2, 1, 3, 3, 3, 3, 4, 4, 3, 5, 3, 2, 3, 4, 4, 3, 4, 5, 3, 5, 4, 2, 4, 2, 4, 4, 5, 2, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4], "414": [3, 3, 5, 3, 2, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 5, 4, 4, 4, 2, 3, 1, 3, 4, 3, 4, 3, 1, 1, 2, 4, 5, 3, 3, 4, 5, 2, 4, 3, 2, 3, 5, 2, 1], "5339": [5, 5, 4, 2, 5, 5, 2, 2, 1, 3, 3, 3, 5, 3, 4, 5, 5, 3, 4, 3, 5, 4, 5, 5, 4, 1, 4, 4, 4, 5, 4, 5, 1, 3, 3, 4, 3, 4, 3, 4, 5, 3, 5, 5, 3, 5, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 3, 5, 4, 5, 3, 3, 4, 5, 3, 3, 5, 4, 5, 2, 5, 2, 2, 4, 4, 3, 5, 5, 1, 5, 4, 5, 5, 4, 5, 3, 5], "2192": [5, 4, 3, 4, 4, 2, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 3, 5, 3, 5, 3, 2, 3, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 5, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 2, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5], "1055": [4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 2, 3, 3, 4, 5, 4, 5, 2, 1, 2, 3, 4, 3, 4, 5, 4, 4, 4, 1, 2, 5, 5, 3, 2, 3, 5, 3, 3], "5667": [5, 3, 4, 1, 4, 1, 4, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 3, 4, 3, 5, 4, 2, 1, 4, 3, 5, 5, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 3, 5, 3, 3, 4, 3, 5, 5, 4, 4, 5, 1, 4, 5, 5, 3, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 5, 3, 2, 3, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 1, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4], "644": [1, 4, 1, 1, 3, 1, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 4, 1, 3, 5, 1, 3, 5, 5, 5, 1, 4, 1, 1, 1, 4, 1, 1, 4, 5, 3, 5, 5, 3, 4, 3, 5, 3, 1, 1, 5, 3, 5, 2, 2, 5, 4, 4, 1, 4, 5], "383": [4, 4, 5, 5, 4, 2, 3, 3, 4, 1, 4], "5980": [4, 4, 3, 5, 2, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 2, 2, 4, 4, 5, 3, 5, 5, 5, 4, 4, 1, 3, 1, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 3, 2, 4, 5, 2, 4, 2, 5, 3, 4, 3, 4, 4, 2, 3, 4, 3, 5, 4, 2, 2, 1, 3, 4, 5, 5, 5, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 1, 3, 4, 3, 5, 3, 3, 2, 3, 5, 3, 4, 3, 3, 4, 5, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 1, 5, 5, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 2, 4, 5, 4, 4, 4, 4, 5, 3, 4, 2, 3, 4, 4, 1, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 5, 2, 5, 4, 3, 2, 4, 4, 3, 2, 5, 5, 4, 3, 3, 3, 4, 5, 4, 5, 1, 4, 3, 5, 4, 4, 4, 5, 4], "5529": [5, 3, 4, 3, 3, 5, 3, 3], "2275": [3, 3, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 3], "199": [3, 3, 3, 5, 3, 2, 5, 5, 3, 1, 3, 2, 1, 2, 4, 2, 4, 4, 5, 3, 3, 2, 3, 3, 4, 3, 4, 3, 5, 5, 3, 2, 4, 2, 4, 4, 1, 4, 4, 5, 5, 3, 5, 1, 4, 3, 2, 5, 3, 2, 3, 2, 5, 4, 4, 4, 3, 4, 5, 2, 1, 3, 1, 4, 4, 3, 4, 4, 3, 2, 2, 4, 4, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 1, 2, 3, 3, 3, 4, 4, 2, 4, 2, 1, 2, 4, 2, 4, 4, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 1, 3, 4, 3, 1, 4, 1, 4, 3, 5, 5, 4, 4, 3, 3, 3, 1, 3, 3, 2, 3, 1, 4, 5, 3, 3, 4, 2, 3, 2, 4, 3, 4, 4, 3, 5, 3, 3, 2, 5, 3, 2, 3, 4, 4, 2, 3, 1, 3, 2, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 3, 3, 1, 3, 5, 3, 4, 3, 3, 4, 2, 3, 3, 2, 4, 5, 4, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 2, 1, 2, 4, 4, 3, 5, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 2, 1, 4, 3, 3, 3, 3, 4, 4, 5, 4, 2, 2, 5, 5, 2, 4, 3, 3, 4, 5, 1, 4, 3, 4, 5, 3, 2, 4, 3, 3, 3, 5, 5, 5, 3, 2, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 2, 4, 4, 3, 3, 2, 5, 5, 4, 2, 3, 4, 4, 4, 4, 5, 4, 5, 2, 4, 3, 5, 4, 4, 3, 3, 5, 5, 3, 5], "2540": [4, 5, 4, 4, 3, 5, 3, 3, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 2, 3, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 3, 4, 3, 5, 3, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 4, 5, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 3, 5, 3, 5, 3, 5, 1, 1, 1, 4, 5, 4, 2, 2, 4, 4, 2], "5420": [3, 1, 1, 2, 3, 1, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 5, 1, 2, 3, 2, 1, 1, 4, 4, 4, 4, 4, 4, 2, 3, 1, 1, 1, 4, 2, 1, 3, 4, 4, 4, 3, 2, 4, 2, 3, 3, 2, 1, 4, 2, 4, 3, 3, 2, 1, 1, 3, 3, 3, 3, 1, 3, 3, 2, 4, 3, 4, 2, 1, 4, 4, 2, 3, 2, 2, 4, 1, 4, 1, 2, 3, 3, 4, 3, 1, 3, 3, 4, 3, 1, 3, 1, 1, 1, 4, 4, 1, 3, 1, 4, 1, 4, 4, 2, 1, 1, 4, 4, 4, 2, 1, 1, 2, 2, 3, 4, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 3, 1], "1610": [4, 5, 5, 3, 4, 5, 3, 5, 5, 3, 3, 4, 4, 2, 3, 4, 5, 5, 5, 4, 5, 4, 3], "1305": [5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4], "4027": [4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 2, 4, 5, 3, 5, 2, 5, 5, 5, 5, 4, 5, 2, 5, 5, 3, 5, 5, 2, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5], "5432": [4, 3, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 2, 2, 4, 5, 2, 2, 4, 2, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 2, 5, 5, 5, 3, 4, 4, 4, 4, 4, 1, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 5], "5295": [4, 4, 3, 4, 4, 2, 3, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3], "3402": [5, 2, 2, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 5, 3, 3, 2, 3, 2, 5, 1, 5, 5, 4, 4, 5, 4, 5, 4, 2, 4, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 5, 4, 2, 5, 5, 5, 4, 3, 5, 5, 2, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 1, 5, 5, 4, 3, 4, 4, 5, 2, 5, 4, 4, 3, 3, 2, 4, 5, 3, 4, 4, 3, 5, 5, 4, 2, 2, 3, 5, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 2, 4, 2, 4, 3, 4, 4, 5, 4, 3, 5, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 1, 2, 5, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 3, 5, 2, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 1, 2, 3, 5, 5, 5, 1, 2, 4, 2, 3, 2, 3, 1, 4, 4, 5, 1, 2, 4, 5, 3, 5, 4, 3, 4, 5, 5, 3, 4, 3, 5, 5, 4, 4, 4, 2, 4, 4, 3, 5, 4, 5, 5, 5, 4, 2, 4, 5, 4, 3, 4, 5, 5, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4], "4410": [4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 2, 5, 5, 5, 3, 5, 4, 4, 4, 3, 3, 4], "2712": [4, 5, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 2, 4, 3, 5, 4, 3, 4, 2, 4, 1, 5, 4], "2289": [5, 2, 3, 5, 5, 3, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 1, 2, 2, 5, 5, 5, 4, 1, 5, 5, 4, 5, 5, 5, 5, 2, 5, 3, 4], "3340": [3, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 3, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3], "2019": [2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 1], "4822": [4, 2, 5, 5, 4, 3, 3, 2, 3, 3, 3, 5, 4, 4, 5, 3, 3, 3, 4, 2, 3, 1, 4, 3, 4], "4959": [3, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 5, 3, 4, 4, 4, 2, 4, 3, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 2, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 2, 4, 5, 4, 4, 5, 3, 4, 4, 5, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 1, 5, 5, 3, 3, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 2, 5, 4, 3, 5, 4, 5, 5, 5, 5], "3941": [3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 5, 4, 2, 3, 4, 2, 3, 4, 3, 2, 4, 3, 1, 2, 4, 3, 1, 3, 2, 2], "435": [4, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 2, 4, 5, 5, 5, 4, 4, 3, 2, 3, 4, 3, 5, 4, 3, 5, 2, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 1, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 2, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 5, 5, 3], "930": [3, 2, 3, 4, 5, 4, 3, 4, 3, 4, 4, 2, 3, 3, 2, 2, 2, 2, 4, 2, 4, 5, 3, 4, 3, 3, 3, 1, 3, 4, 3, 4, 4, 3, 5, 3, 5, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 4, 2, 2, 2, 3, 5, 1, 2, 2, 3, 3, 3, 3, 4, 1, 4, 5, 2, 5, 4, 1], "4761": [5, 5, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3], "1598": [4, 3, 4, 4, 2, 3, 5, 3, 4, 3, 4, 1, 4, 3, 2, 5, 3, 3, 3, 5, 5, 3, 2, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 1, 3, 2, 2, 3, 5, 3, 3, 4, 4, 3, 4, 5, 3, 3, 2, 3, 3, 4, 4, 5, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 3, 5, 2, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 2, 5, 5, 5, 4, 1, 3, 2, 5, 5, 4, 4, 3, 2, 5, 3, 4, 4, 5, 3, 4, 2], "1895": [4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 5], "5130": [5, 5, 5, 5, 4, 3, 5, 4, 5, 3, 1, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5], "5961": [3, 3, 4, 3, 4, 2, 3, 3, 2, 2, 4, 2, 2, 3, 2, 5, 3, 3, 2, 4, 4, 3, 2, 4, 3, 2, 2, 4, 2, 5, 3, 3, 5, 4, 4, 3, 4, 3, 2, 3, 3, 4, 3, 2, 1, 2, 2, 2, 4, 2, 5, 3, 2, 4, 3, 3, 4, 3, 4, 3, 4, 2, 4, 3, 5, 4, 2, 3, 2, 4, 2, 3, 3, 1, 3, 3, 4, 3, 5, 3, 2, 3, 4, 3, 4, 3, 3, 4, 4, 5, 3, 2, 3, 4, 4, 3, 2, 3, 2, 4, 5, 4, 3, 2, 2, 3, 5, 5, 3, 5, 3, 3, 5, 4, 3, 2, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 2, 3, 3, 3, 1, 3, 2, 3, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 1, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 3, 5, 3, 2, 4, 3, 1, 3, 3, 4, 3, 4, 3, 3, 2, 2, 4, 3, 4, 4, 3, 1, 1, 4, 2, 2, 3, 1, 4, 4, 4, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 4, 2, 4, 3, 4, 4], "248": [3, 5, 3, 5, 5, 3, 3, 3, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5], "1342": [4, 3, 4, 4, 2, 2, 4, 4, 2, 3, 4, 4, 3, 2, 4, 1, 4, 3, 2, 2, 3, 3, 1, 1, 4, 4, 2, 4, 3, 3, 3, 1, 4, 4, 3, 2, 1, 2, 3, 1, 2, 3, 5, 4, 3, 2, 3, 3, 4, 2, 2, 4, 3, 4, 2, 4, 3, 2, 2, 4, 4, 2, 2, 4, 3, 2, 3, 5, 3, 5, 4, 4, 4], "1625": [4, 4, 5, 2, 3, 2, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3], "1107": [4, 4, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 5, 3, 5, 5, 4, 3, 5, 3, 4, 2, 3, 5, 4], "2606": [5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5], "75": [5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 1, 5, 3, 5, 4, 1, 2, 3, 4, 3, 3, 4, 5, 5, 3, 2, 4, 4, 4, 2, 4, 5, 4, 2, 4, 4, 5, 3, 1, 3, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 1, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 2, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 1, 3, 4, 3, 4, 3, 3, 4, 2, 5, 5, 4, 3, 3, 3, 4, 4, 3, 4, 3, 2, 5, 4, 5, 4, 4, 1, 5, 4, 4, 5, 5, 3, 5, 4, 1, 4, 5, 5, 4, 3, 4, 4, 3], "3244": [4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 5], "5856": [3, 5, 4, 5, 4, 5, 2, 5, 2, 2, 1, 2, 5, 2, 3, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 1, 4, 2, 4, 5, 4, 4, 5, 5, 1, 3, 1, 2, 5, 5, 5, 3, 4, 3, 3, 4, 2, 5, 3, 3, 3, 5, 5, 5, 4, 5, 1, 3, 1], "5767": [4, 3, 3, 5, 5, 4, 5, 4, 3, 3, 4, 5, 3, 3, 5, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 2, 5, 3, 5, 3, 5, 4, 3, 4, 2, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 5, 4, 3, 2, 2, 4, 4, 5, 1, 3, 3, 4, 5, 5, 3, 4, 4, 3, 3, 5, 3, 3, 2, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 4, 3, 3, 2, 4, 4, 3, 4, 3, 2, 4, 4, 4, 5, 1, 1, 5, 1, 4, 4, 3, 2, 5, 2, 4, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 5, 3, 2, 4, 5, 4, 3, 5, 3, 5, 3, 4, 1, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 5, 4, 5, 3, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 1, 4, 3, 5, 5, 4, 4, 3, 5, 4, 2, 4, 4, 1, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 5, 2, 3, 3, 2, 4, 3, 3, 2, 3, 3, 2, 4, 3, 3, 2, 4, 4, 3, 5, 2, 3, 5, 4, 3, 2, 4, 4, 5, 2, 5, 5, 4, 3, 5, 5, 5, 4, 2, 5, 5, 3, 5], "1294": [5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 3, 4, 3, 3, 5, 4, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 3, 4, 2, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 5, 2, 3, 2, 3, 3, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 5, 1, 3, 5, 3, 4, 4, 3, 4, 4, 3, 5, 5, 4, 3, 4, 2, 4, 5, 5, 4, 4, 3, 5, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5], "4498": [2, 2, 4, 3, 1, 5, 3, 2, 3, 1, 1, 3, 2, 2, 2, 4, 3, 4, 3, 5, 2, 3, 2, 2, 4, 2, 1, 4, 4, 4, 5, 1, 4, 5, 3, 4, 5, 4, 3, 5, 3, 2, 4, 4, 3, 3, 4, 3, 4, 1, 4, 4, 3, 3, 4, 3, 2, 5, 5, 3, 4, 2, 2, 4, 5, 1, 2, 4], "568": [4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 5, 4], "5136": [3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 1, 4, 5, 4, 4, 4, 3, 4, 4, 5, 1, 4, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 5, 5, 5, 2, 4, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 3, 5, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 2, 3, 4, 5, 4, 2, 3, 2, 3, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2, 3, 4, 1, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 3, 4, 4, 3, 3, 4, 5, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4], "4396": [4, 4, 3, 4, 3, 3, 5, 3, 5, 5, 4, 5, 4, 4, 2, 1, 4, 2, 4, 2, 4, 5], "2129": [4, 5, 2, 4, 5, 3, 5, 3, 4, 3, 4, 3, 4, 2, 3, 5, 3, 2, 3, 3, 4, 5, 2, 2, 4, 3, 2, 3, 5, 4, 4, 5, 3, 4, 2, 4, 5, 4, 4, 3, 3, 4, 3, 5, 5, 2, 2, 4, 4, 4, 2, 3, 4, 2, 3, 4, 4, 2, 2, 3, 3, 4, 3, 3, 1, 3, 3, 3, 2, 5, 5, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 4, 2, 3, 3, 2, 2, 4, 5, 2, 3, 2, 3, 4, 1, 5, 2, 2, 3, 3, 3, 5, 3, 3, 2, 5, 2, 4, 4, 3, 1, 3, 2, 3, 5, 4, 4, 4, 3, 5, 3, 2, 4, 2, 4, 2, 4, 4, 2, 2, 4, 4, 4, 2, 4, 4, 3, 3, 2, 4, 3, 4, 5, 2, 4, 3, 5, 3, 3, 2, 5, 3, 4, 5, 3, 5, 2, 4, 4, 2, 3, 2, 3, 5, 1, 3, 3, 3, 4, 5, 4, 2, 4, 4, 4, 2, 3, 2, 3, 5, 3, 5, 1, 5, 2, 1, 4, 4, 2, 4, 3, 4, 4, 5, 4, 2, 4, 2, 5, 3, 4, 3, 4, 5, 3, 5, 5, 2, 2, 4, 2, 4, 3, 3], "5352": [5, 4, 4, 4, 5, 5, 5, 4, 2, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 3, 4, 5, 3, 5, 5, 5, 2, 3, 3, 3, 5, 2, 2, 5, 3, 4, 4, 5, 4, 1, 4, 3, 5, 3, 2, 3, 5, 4, 1, 1, 1, 2, 4, 2, 3, 1, 2, 2, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 3, 2, 1, 1, 3, 2, 5, 1, 5, 5, 2, 3, 5, 2, 3, 2, 2, 3, 5, 5, 5, 4, 5, 5, 1, 4, 2, 3, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 2, 3, 1, 3, 3, 1, 4, 3, 1, 3, 5, 5, 4, 5, 5, 3, 5, 2, 5, 4, 4, 3, 4, 4, 3, 3, 5, 2, 5, 4, 4, 5, 5, 5, 5, 2, 5, 5, 5, 2, 2, 2, 5, 5, 4, 5, 3, 4, 1, 4, 4, 5, 3, 4, 4, 5, 5, 4], "5585": [1, 5, 4, 2, 5, 5, 5, 5, 2, 2, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 3, 2, 3, 4, 5, 2, 5, 4, 2, 4, 3, 4, 2, 2, 5, 5, 5, 4, 3, 5, 5, 5, 2, 4, 2, 5, 3, 3, 2, 5, 3, 4, 4, 4, 3, 1, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 3, 3, 1, 2, 3, 4, 2, 5, 4, 5, 4, 5, 4, 4, 5, 4, 2, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 2, 5, 2, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 3, 2, 1, 4, 3, 4, 3, 5, 4, 1, 4, 4, 5, 3, 4, 4, 2, 4, 5, 1, 5, 5, 1, 5, 4, 5, 4, 3, 3, 2, 2, 3, 2, 5, 4, 2, 5, 5, 4, 3, 2, 2, 5, 3, 4, 2, 5, 5, 2, 2, 1, 1, 1, 5, 1, 4, 4, 5, 4, 3, 2, 1, 3, 2, 5, 5, 5, 5, 5, 4], "658": [3, 4, 1, 1, 3, 4, 3, 4, 5, 4, 2, 3, 4, 2, 4, 3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 1, 2, 4, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 3, 5, 4, 5, 4, 4, 3, 3, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3], "5898": [5, 4, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 3], "544": [3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 1, 4, 5, 5, 4, 5, 5, 2, 4, 2, 3, 5, 5, 5, 4, 4, 4, 5, 4, 2, 5, 1, 2, 4, 4, 3, 2, 3, 5, 5, 5, 4, 4, 3, 1, 5, 4, 2, 4, 5, 5, 4, 2, 2, 4, 4, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 2, 2, 4, 3, 4, 1, 3, 3, 4, 5], "2789": [3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 1, 4, 2, 4, 2, 3, 4, 4, 3, 4, 2, 5, 5, 3, 2, 5, 4, 2, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 2, 3, 3, 3, 5, 4, 4, 4, 3, 2, 2, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 2, 5, 4, 4, 3, 3], "1593": [2, 2, 3, 4, 4, 4, 3, 3, 4, 2, 3, 5, 3, 3, 4, 4, 2, 3, 5, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 2, 2, 4, 4, 4, 5, 5, 3, 2, 4, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 2, 3, 3, 4, 1, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 2, 3, 4, 2, 2, 3, 4, 3, 1, 2, 3, 2, 2, 5, 5, 2, 2, 1, 4, 4, 1, 3, 3, 2, 2, 2, 2, 5, 4, 2, 3, 4, 4, 2, 2, 2, 1, 2, 3, 3, 2, 4, 4, 2, 4, 2, 4, 2, 4, 4, 5, 2, 2, 3, 3, 4, 5, 4, 4, 4, 2, 2, 4, 3, 3, 4, 4], "3983": [3, 4, 3, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 2, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4], "4962": [3, 2, 4, 4, 5, 4, 3, 5, 3, 4, 4, 2, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 3, 5, 4, 3, 3, 1, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 4, 2, 4, 3, 5, 5, 5, 4, 2, 4, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 2, 4, 5, 4, 4, 5, 4, 4, 2, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 2, 5, 3, 5, 4, 3, 2, 4, 4, 4, 3, 2, 3, 5, 5, 4, 5, 2, 2, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 4, 3, 3, 3, 4, 4, 4, 5, 3, 5, 5, 5, 4, 3, 4, 3, 5, 5, 4, 4, 5, 3, 5, 3, 3, 4], "2343": [4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 2, 4, 4, 3], "4180": [4, 4, 5, 3, 3, 2, 4, 4, 3, 2, 3, 1, 4, 3, 3, 4, 3, 5, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 4, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3], "4722": [3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 2, 4, 4, 4, 4, 3], "53": [5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 2, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 1, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 2, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 2, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 3, 3, 3, 3, 4, 4, 2, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 1, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 3, 5, 3, 5, 3, 5, 2, 3, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 1, 4, 5, 5, 4, 4, 5, 3, 5, 2, 2, 5, 5, 4, 5, 3, 3, 5, 3, 5, 1, 2, 3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 3, 5, 5, 5, 4, 5, 2, 4, 3, 5, 4, 5, 4, 5, 1, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 5, 5, 1, 5, 3, 2, 5, 4, 5, 5, 3, 5, 5, 3, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 1, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 5, 3, 5, 3, 5, 4, 3, 5, 5, 4, 5, 5, 1, 4, 5, 5, 3, 4, 3, 5, 5, 4, 4, 4, 5, 3, 5, 2, 5, 3, 5, 5, 3, 4, 4, 3, 5, 2, 2, 5, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 3, 5, 4, 5, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 1, 5, 3, 5, 4, 5, 2, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 5, 3, 5, 5, 2, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 1, 3, 5, 4, 5, 4, 3, 4, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5], "5805": [4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 2, 4, 5, 4, 3, 5, 4, 3, 5, 4, 5, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 4, 5, 2, 5, 2, 5, 4, 5, 5, 5, 5, 4, 5, 2, 3, 5, 2, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 2, 5, 4, 4, 1, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 3, 2, 4, 5, 3, 5, 4, 3, 5, 2, 4, 4, 4, 3, 4, 5, 3], "3096": [3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 1, 5, 5, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 2, 3, 3, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 3, 4, 2, 5, 4, 5, 5, 5, 4, 4, 3, 3], "5850": [3, 2, 3, 3, 2, 1, 1, 1, 3, 1, 1, 3, 3, 1, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 1, 3, 3, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1], "5154": [5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4], "1237": [5, 1, 5, 5, 3, 5, 5, 3, 2, 4, 5, 4, 5, 4, 4, 1, 2, 5, 2, 5, 5, 5, 2, 5], "3925": [5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 4, 5, 5, 3, 3, 5, 4, 3, 5, 3, 5, 5, 5, 3, 4, 4, 2, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5], "911": [3, 4, 3, 4, 4, 3, 4, 5, 2, 4, 4, 2, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 1, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 2, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 2, 4, 3, 3, 5, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 3, 1, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 3, 3, 4, 4, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 2, 4, 2, 4, 2, 4, 2, 4, 5, 4, 2, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 4, 5, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 3, 1, 4, 2, 2, 2, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 2, 4, 4, 3, 2, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 2, 2, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3], "2051": [5, 5, 5, 4, 4, 4, 3, 4, 1, 4, 2, 4, 1, 3, 4, 5, 5, 5, 3, 2, 2, 2, 3, 4, 4, 4, 1, 4, 1, 4, 4, 2, 5, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 4, 2, 1, 3, 4, 4, 3, 4, 3, 5, 5, 3, 4, 5, 5, 2, 1, 1, 5, 5, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 1, 4, 3, 4, 4, 1, 3, 4, 3, 3, 4, 2, 4, 4, 4, 1, 4, 2, 5, 4, 3, 4, 5, 5, 5, 4, 2, 2, 4, 2, 3, 3, 3, 4, 5, 4, 3, 4, 2, 5, 5, 4, 3, 4, 3, 4, 5, 2, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 2, 5, 2, 3, 3, 4, 4, 2, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 1], "5492": [2, 3, 4, 2, 4, 4, 3, 2, 4, 4, 5, 1, 1, 4, 4, 3, 2, 3, 4, 4, 3, 3, 2, 3, 1, 4, 2, 5, 4, 2, 3, 4, 3, 5, 4, 1, 3, 3, 4, 2, 4, 3, 3, 4, 3, 5, 3, 5, 1, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 1, 5, 3, 2, 3, 2, 2, 4, 3, 4, 3, 4, 2, 3, 2, 1, 4, 5, 4, 1, 4, 1, 4, 4, 1, 2, 3, 4, 5, 1, 4, 4, 4, 3, 1, 1, 3, 4, 3, 1, 4, 3, 5, 2, 4, 3, 2, 3, 3, 4, 5, 1, 3, 3, 5, 2, 2, 1, 3, 3, 4, 4, 4, 2, 3, 5, 1, 4, 3, 2, 1, 1, 2, 2, 3, 4, 5, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 2, 2, 2, 2, 5, 1, 5, 3, 5, 5, 5, 2, 2, 3, 2, 1, 2, 4, 3, 4, 1, 1, 1, 1, 1, 1, 4, 5, 4, 3, 5, 5, 2, 3, 4, 3, 5, 3, 5, 4, 3, 3, 3, 3, 3, 2, 1, 4, 4, 3, 4, 4, 4, 5, 3, 1, 1, 2, 3, 1, 3, 3, 5, 4, 4, 1, 2, 2, 5], "4609": [3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 4, 2, 2, 4, 3, 5, 2, 5, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 5, 5, 2, 3, 2, 3, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 4, 2, 3, 3, 4, 3, 2, 2, 4, 3, 2, 4, 4, 2, 4, 3, 4, 2, 2, 2, 1, 2, 3, 3, 1, 3, 5, 4, 2, 4, 3, 3, 2, 2, 4, 3, 3, 3, 4, 1, 3, 3, 2, 4, 4, 3, 4, 2, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 2, 2, 4, 3, 3, 4, 1, 2, 4, 4, 2, 3, 3, 2, 5, 4, 3, 4, 2, 3, 1, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 2, 3, 1, 4, 3, 3, 2, 3, 2, 4, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 5, 4, 5, 5, 1, 2, 2, 3, 3, 2, 4, 2, 2, 4, 2, 3, 5, 4, 3, 2], "3746": [4, 2, 5, 5, 5, 2, 3, 2, 3, 3, 1, 4, 5, 5, 2, 5, 3, 5, 4, 3, 5, 3, 5, 4, 5, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 1, 4, 3, 5, 4, 5, 3, 5, 5, 2, 5, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4, 3, 2, 2, 5, 5, 4, 4, 2, 4, 3, 3, 2, 3, 5, 5, 5, 3, 5, 5, 5, 2, 3, 5, 4, 3, 5, 3, 3, 2, 5, 5, 3, 5, 5, 4, 4, 5, 3, 4, 1, 4, 5, 5, 5, 5, 3, 4, 2, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 3, 4, 2, 3, 3, 3, 5, 3, 5, 2, 1, 5, 1, 2, 4, 1, 2, 3, 4, 4, 5, 5, 5, 4, 4, 2, 4, 2, 4, 2, 4, 5, 4, 3, 5, 5, 5, 2, 4, 3, 2, 2, 5, 3, 1, 3, 2, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 2, 5, 2, 1, 1, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 1, 4, 4, 5, 2, 4, 4, 5, 2, 3, 5, 5, 3, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 2, 4, 4, 5, 5, 3, 1, 5, 2, 5, 4, 4, 3, 1, 3, 5, 3, 4, 4, 1, 1, 5, 2, 4, 5, 5, 3, 5, 5, 3, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4], "2800": [3, 4, 2, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 1, 5, 1, 5, 3, 3, 5, 1, 5, 5, 5, 4, 4, 5, 4, 4, 4, 1, 3, 5, 1, 5, 2, 4, 2, 4, 5, 5, 3, 2, 1, 4, 5, 3, 1, 4, 3, 3, 5], "4606": [3, 2, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3], "4899": [1, 4, 4, 4, 4, 5, 3, 5, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 2, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 1, 2, 5, 4, 4, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 5, 2, 4, 4, 5, 5, 3, 3, 5, 3, 3, 4, 1, 3, 3, 4, 1, 4, 3, 2, 3, 4, 5, 3, 1, 5, 2, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 2, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 2, 3, 5, 2, 3, 2, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 1, 3, 2, 3, 4, 5, 4, 2, 3, 3, 4, 4, 4, 2, 5, 4, 3, 5, 5, 3, 3, 4, 5, 4, 3, 5, 1, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 1, 3, 4, 3, 3, 4, 5, 2, 5, 1, 4, 4, 3, 3, 5, 5, 5, 2, 4, 4, 2, 4, 4, 2, 4, 3, 5, 2, 4, 5, 4, 4, 5, 5, 3], "3039": [5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 1, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 5, 2, 4, 5, 3, 5, 5, 4, 4, 4], "1359": [5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 2, 4, 4, 2, 5, 3, 3, 3, 4, 3, 5, 2, 3, 5, 3, 4, 5, 1, 4, 5, 4, 5, 2, 3, 3, 3, 3], "2335": [1, 4, 4, 3, 1, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 2, 5, 5, 4, 5, 4, 2, 5, 4, 2, 4, 5, 4, 5, 3, 4, 4, 5, 1, 4, 1, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 1, 3, 4, 3, 4, 2, 2, 1, 2, 2, 4, 3, 3, 3, 5, 4, 5, 3, 3, 3, 3, 3, 4, 1, 5, 3, 2, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 1], "3650": [5, 3, 4, 4, 3, 5, 2, 4, 3, 4, 3, 4, 3, 4, 5, 5, 5, 4, 1, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 5, 5, 3, 4, 5, 4, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 2, 4, 3, 4, 3, 5, 4, 2, 2, 5, 3, 3, 4, 3, 5, 5, 2, 5, 3, 3, 4, 1, 1, 2, 4, 3, 4, 2, 3, 4, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 4, 4, 5, 5, 3, 2, 2, 4, 4, 1, 3, 5, 5, 1, 5, 4, 5, 4, 5, 4, 3, 5, 5, 3, 5, 3, 5, 1, 2, 3, 4, 4, 5, 4, 5, 4, 1, 2, 4, 3, 3, 4, 5, 3, 5, 3, 3, 5, 4, 3, 3, 5, 3, 4, 3, 4, 2, 3, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 5, 2, 4, 4, 3, 4, 4, 3, 4, 5, 1, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 5, 3, 4, 2, 3, 5, 3, 4, 2, 4, 4, 5, 1, 4, 4, 4, 4, 4, 4, 3, 5, 5, 2, 1, 2, 4, 4, 5, 4, 2, 2, 3, 3, 4, 5, 3, 3, 4, 1, 4, 3, 5, 1, 3, 3, 5, 5, 1, 4, 5, 2, 4, 2, 2, 4, 3, 4, 1, 3, 3, 4, 5, 5, 4, 1, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 1, 4, 5, 2, 5, 3, 4, 4, 4, 4, 4, 3, 4, 2, 5, 4, 2, 5, 2, 4, 3, 4, 1, 5, 3, 5, 2, 1, 3, 3, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 3, 4, 1, 4, 2, 4, 1, 4, 3, 5, 5, 3, 3, 3, 4, 4, 3, 5, 5, 2, 4, 3, 3, 2, 2, 1, 3, 3, 3, 5, 5, 5, 5, 2, 4, 1, 4, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 3, 5, 4, 5, 1, 5, 4, 1, 3, 4, 3, 2, 5, 4, 4, 5, 2, 2, 5, 5, 3, 2, 4, 3, 5, 3, 2, 5, 2, 2, 1, 5, 5, 3, 4, 4, 4, 5, 4, 3, 2, 4, 2, 4, 4, 5, 2, 5, 2, 3, 4, 5, 4, 4, 3, 3, 2, 5, 3, 1, 4, 4, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 2, 5, 3, 5, 4, 3, 3, 5, 2, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 4, 5, 2, 4, 2, 3, 5, 3, 4, 5, 4, 2, 2, 4, 4, 4, 3, 3, 5, 4, 2, 2, 3, 5, 5, 4, 3, 3, 4, 3, 1, 4, 1, 4, 2, 4, 5, 4, 4, 5, 4, 1, 4, 3, 5, 3, 3, 5, 2, 3, 5, 4, 4, 4, 5, 3, 4, 2, 4, 3, 3, 4, 3, 5, 4, 3, 1, 5, 5, 4, 4, 1, 3, 5, 4, 4, 3, 4, 1, 5, 3, 4, 4, 4, 4, 1, 5, 4, 3, 5, 4, 4, 3, 3, 5, 4, 2, 3, 2, 3, 3, 3, 1, 2, 3, 2, 4, 5, 1, 2, 5, 3, 4, 2, 4, 3, 4, 5, 5, 4, 5, 5, 2, 3, 4, 5, 5, 5, 3, 5, 3, 3, 3, 3, 3, 4, 5, 5, 4, 5, 3, 5, 4, 3, 2, 4, 4, 4, 4, 5, 3, 5, 3, 5, 3, 5, 5, 2, 4, 2, 4, 5, 3, 3, 5, 5, 5, 4, 4, 1, 2, 2, 5, 3, 2, 3, 3, 3, 5, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 5, 2, 5, 5, 5, 2, 4, 1, 5], "873": [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 1, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4], "1921": [5, 3, 3, 2, 3, 2, 4, 3, 5, 3, 4, 3, 5, 4, 5, 4, 2, 2, 4, 3, 2, 3, 2, 2, 4, 3, 5, 2, 4, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 2, 4, 4, 3, 3, 2, 1, 4, 3, 5, 2, 2, 3, 3, 3, 2, 2, 4, 4, 5, 3, 3, 3, 1, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4], "5867": [4, 2, 4, 5, 3, 5, 4, 4, 5, 4], "2150": [4, 4, 2, 5, 3, 5, 3, 4, 5, 4, 5, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 2, 3, 4], "2427": [5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 3, 4, 4, 3, 5, 5, 3, 5, 4, 4, 5, 5, 3, 4, 5, 4], "5464": [5, 4, 3, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 2, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3], "4578": [4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 2, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 4, 5, 2, 4, 3, 5, 3, 3, 3, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 2, 3, 4, 5, 3, 4, 4, 4, 4, 2, 4, 1, 2, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 5, 1, 4, 4, 5, 4, 3, 4, 5, 2, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 2, 5, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 1, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 3, 5, 2, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 2, 4, 3, 2, 4, 4, 4, 4, 2, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 1, 5, 4, 4, 3, 4, 5, 4, 5, 4, 2, 3, 4, 4, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 1, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 2, 2, 3, 5, 3, 4, 3, 5, 2, 5, 3, 3, 2, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 2, 5, 5, 2, 4, 5, 2, 5, 4, 5, 5, 4, 3, 4, 4, 5, 3, 4, 5, 5, 5, 1, 4, 2, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 2, 4, 1, 4, 2, 5, 3, 2, 4, 3, 4, 4, 3, 4, 1, 5, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 5, 4, 2, 5, 5, 4, 4, 3, 2, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 5, 3, 1, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 5, 5, 5, 5, 4, 2, 3, 3, 4], "5933": [2, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3], "646": [4, 5, 4, 3, 3, 4, 5, 3, 5, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 5, 5, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 2, 2, 1, 3, 4, 3, 4, 5, 4, 4, 3, 2, 4, 5, 4, 3, 4, 3, 4, 4, 1, 4, 3, 5, 4, 2, 3, 4, 3, 3, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 2, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 5, 4, 4, 4, 5, 1, 5, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 3, 5, 5, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 2, 2, 1, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 2, 3, 4, 4, 2, 3, 4, 5, 5, 4, 2, 5, 3, 5, 3, 4, 4], "3635": [4, 5, 2, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 2, 4, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 4, 5, 4, 3, 3, 5, 5, 3, 4, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 2, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 2, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 2, 2, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 3, 5, 4, 5], "1733": [4, 4, 3, 4, 4, 3, 5, 5, 4, 5, 2, 4, 4, 4, 4, 4, 2, 2, 5, 3, 3, 5, 4, 5, 3, 5, 3, 5, 4, 3, 3, 4, 3, 2, 4, 4, 3, 5, 3, 4, 5, 5, 5, 4, 3, 2, 4, 4, 5, 5, 3, 3, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 2, 4, 3, 5, 4, 4, 2, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 2, 4, 3, 5, 3, 4, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 2, 2, 2, 3, 4, 2, 3, 4, 4, 3, 4, 2, 4, 2, 4, 3, 3, 1, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 3, 2, 3, 4, 2, 3, 3, 5, 2, 4, 5, 4, 4, 4, 2, 1, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 4, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 5, 3, 2, 4, 4, 3, 5, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 5, 3, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 1, 3, 4, 3, 3, 3, 3, 3, 4, 4, 5, 2, 2, 2, 5, 3, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 2, 4, 2, 3, 3, 3, 4, 2, 2, 3, 4, 2, 3, 4, 4, 5, 5, 3, 2, 5, 4, 5, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 2, 4, 5, 3, 3, 2, 3, 5, 5, 3, 5, 5, 4, 3, 3, 1, 5, 2, 2, 3, 4, 4, 2, 5, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 5, 3, 3, 5, 2, 5, 5, 4, 2, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 2, 5, 2, 4, 4, 3, 4, 3, 3, 4, 3, 5, 2, 3, 5, 3, 3, 4, 5, 4, 4, 4, 3, 5, 4, 4, 2, 4, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 2, 3, 4, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 2, 3, 3, 5, 3, 3, 3, 3, 4, 4, 4, 2, 4, 5, 2, 4, 4, 5, 2, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 2, 3, 3, 5, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 5, 5, 5, 3, 3, 5, 3, 2, 5, 3, 3, 2, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 2, 3, 2, 3, 3, 5, 2, 4, 4, 3, 5, 5, 2, 2, 2, 3, 3, 4, 5, 3, 5, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 3, 3, 2, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 5, 5, 2, 3, 3, 4, 3, 4, 3, 3, 3, 5, 2, 2, 4, 4, 3, 5, 1, 4, 5, 5, 5, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 5, 2, 4, 4, 4, 4, 5, 3, 5, 4], "2912": [4, 5, 4, 3, 5, 2, 1, 1, 4, 4, 3, 4, 2, 3, 1, 4, 3, 2, 4, 3, 4, 1, 2], "2649": [3, 5, 1, 5, 3, 3, 4, 3, 4, 5, 2, 5, 3, 3, 3, 1, 3, 1, 5, 5, 5, 4, 1, 3, 2, 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 2, 3, 4, 4, 5, 2, 3, 3, 3, 1, 4, 3, 3, 1, 4, 3, 4, 1, 3, 3, 2, 1, 5, 2, 3, 2, 4, 3, 1, 2, 5, 3, 2, 4, 3, 4, 5, 3, 2, 5, 2, 3, 3, 1, 4, 3, 4, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 2, 3, 4, 3, 1, 3, 3, 5, 3, 2, 2, 3, 3, 3, 5, 1, 2, 3, 4, 4, 3, 2, 3, 3, 3, 2, 3, 5, 3, 3, 5, 3, 2, 2, 3, 2, 1, 3, 2, 1, 3, 4, 4, 2, 3, 2, 4, 1, 4, 5, 4, 3, 3, 4, 5, 5, 3, 3, 3, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 3, 3, 4, 3, 3, 1, 3, 5, 3, 2, 5, 4, 4, 2, 2, 2, 2, 4, 4, 2, 4, 5, 4, 5, 3, 4, 4], "2481": [5, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 5, 2, 4, 4, 1, 5, 4, 5, 5, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 2, 4, 4, 5, 3, 4, 2, 4, 4, 4, 4, 4, 3, 1, 2, 5, 5, 5, 4, 5, 5, 4, 5, 5, 2, 1, 5, 1, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 2, 3, 3, 5, 2, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 2, 5, 1, 3], "4661": [4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5], "5932": [4, 5, 3, 2, 3, 4, 4, 5, 1, 4, 2, 2, 2, 5, 4, 4, 4, 3, 1, 3, 3], "3921": [4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 3, 3, 5, 1, 4, 4, 4, 5, 5, 4, 4, 5, 2, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4], "979": [5, 4, 5, 5, 4, 4, 5, 3, 2, 3, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 3, 5, 3, 5, 5, 5, 5, 3, 4, 3, 3, 5, 2, 4, 4, 5, 5, 4, 4, 5, 3, 5, 3, 5, 5, 2, 3, 2, 4, 4, 3, 4, 4, 3, 4, 4, 2, 5], "3967": [3, 1, 2, 1, 2, 4, 2, 2, 4, 2, 1, 3, 3, 4, 2, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 5, 4, 3, 2, 2, 2, 1, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 4, 5, 1, 3, 3, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 1, 1, 2, 3, 4, 3, 2, 2, 3, 2, 1, 1, 3, 1, 2, 3, 3, 4, 2, 3, 2, 2, 4, 4, 1, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 2, 3, 1, 1, 2, 1, 4, 4, 2, 1, 3, 2, 1, 2, 3, 2, 2, 5, 3, 2, 3, 2, 3, 3, 4, 4, 3, 2, 2, 1, 4, 2, 5, 2, 2, 3, 2, 4, 3, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 4, 3, 3, 5, 4, 3, 3, 2, 2, 2, 1, 2, 2, 4, 4, 4, 4, 3, 4, 3, 2, 1, 2, 2, 3, 2, 3, 3, 5, 3, 4, 2, 4, 2, 3, 2, 1, 2, 5, 1, 2, 2, 4, 3, 3, 3, 4, 2, 3, 3, 2, 3, 1, 4, 4, 2, 1, 2, 2, 1, 3, 1, 2, 2, 3, 4, 1, 2, 2, 2, 4, 3, 3, 1, 2, 3, 2, 5, 2, 5, 4, 3, 4, 2, 2, 2, 4, 2, 4, 2, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 1, 4, 1, 1, 3, 3, 4, 3, 2, 2, 3, 4, 3, 4, 2, 4, 1, 5, 3, 2, 1, 4, 2, 2, 3, 3, 3, 2, 2, 1, 4, 3, 2, 2, 2, 1, 4, 5, 1, 4, 1, 4, 3, 3, 2, 3, 3, 1, 3, 4, 4, 4, 2, 3, 3, 2, 2, 3, 4, 1, 2, 3, 4, 4, 2, 3, 2, 3, 4, 2, 3, 3, 3, 1, 5, 1, 1, 3, 4, 3, 2, 3, 1, 3, 1, 3, 4, 2, 4, 2, 1, 1, 3, 1, 3, 1, 3, 4, 4], "378": [2, 4, 4, 2, 1, 5, 5, 3, 4, 4, 3, 2, 3, 1, 5, 5, 5, 4, 5, 4, 5, 5, 4], "5234": [3, 4, 4, 4, 3, 4, 4, 4, 5, 1, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 5, 1, 4, 5, 5, 4, 4, 4, 1, 3, 5, 5, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 2, 4, 4, 2, 4, 2, 4, 3, 4, 1, 3, 4, 3, 5, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 2, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 5, 3, 3, 5, 5, 3, 4, 5, 4, 5, 5, 3, 3, 3, 5, 5, 3, 3, 5, 4, 2, 5, 3, 1, 3, 4, 4, 3, 4, 4, 5, 3, 5, 1, 5, 5, 4, 5, 1, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 1, 5, 5, 3, 4, 2, 3, 5, 5, 4, 5, 2, 4, 4], "3631": [4, 4, 3, 4, 4, 5, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 1, 5, 4, 4, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4], "5324": [4, 5, 5, 5, 3, 5, 4, 2, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 3, 5, 3, 4, 1, 4, 3, 4, 5, 4, 5, 4, 3, 5, 3, 5, 5, 3, 4, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 5, 5, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 5], "2226": [2, 4, 3, 4, 4, 3, 4, 3, 5, 4, 2, 4, 4, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 3, 3, 3, 5, 5, 3, 4, 4], "1639": [3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 2, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 2, 5, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 2, 3, 3, 4, 5, 4, 3, 3, 4, 4, 4, 1, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 1, 4, 4, 5, 3, 3, 3, 1, 1, 4, 3, 3, 4, 5, 1, 4, 3, 4, 5, 4, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 2, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 4, 4, 2, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 2, 3, 4, 2, 5, 5, 4, 3, 3, 4, 3, 1, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 2, 5, 4, 2, 4, 4, 4, 3, 4, 4, 2, 3, 3, 2, 3, 2, 2, 5, 4, 3, 4, 4, 1, 3, 4, 2, 2, 4, 2, 5, 3, 3, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 1, 4, 5, 5, 2, 5, 5, 3, 5, 4, 4, 3, 1, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 1, 4, 2, 5, 4, 3, 4, 4, 1, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 3, 2, 5, 5, 2, 2, 5, 4, 5, 4, 5, 3, 5, 2, 1, 3, 4, 4, 5, 4, 5, 4, 3, 2, 3, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 5, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 2, 5, 4, 3, 5, 4, 5, 4], "1651": [4, 3, 4, 2, 3, 3, 3, 4, 5, 2, 2, 3, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 2], "4554": [4, 4, 3, 4, 3, 5, 1, 5, 4, 3, 3, 4, 3, 4, 5, 3, 5], "2936": [4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 3], "4853": [4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5], "597": [5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3], "1955": [5, 1, 5, 3, 4, 5, 2, 3, 5, 3], "5938": [5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 2, 5, 5, 5, 3, 2, 5, 5, 5, 4, 3, 5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 2, 3, 4, 4, 5, 3, 4, 5, 3, 4, 1, 4, 3, 2, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 5, 4, 1, 5, 4, 3, 3, 3, 4, 3, 4, 5, 2, 3, 3, 4, 4, 3, 5, 4, 5, 3, 2, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 2, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 4], "4647": [5, 3, 1, 2, 5, 3, 2, 5, 2, 2, 5, 4, 3, 2, 5, 1, 4, 2, 3, 2, 5, 5, 2, 3, 4, 3, 4, 1, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 4, 2, 5, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 2, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 3, 4, 4, 2, 3, 5, 4, 5, 3, 4, 3, 3, 3, 3, 1, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 1, 5, 3, 4, 3, 3, 5, 4, 3, 1, 3, 4, 4, 2, 3, 5, 5, 3, 3, 3, 4, 2, 5, 3, 5, 4, 5, 3, 2, 3, 2, 4, 5, 5, 4, 4, 5, 5, 3, 4, 3, 2, 2, 3, 3, 5, 2, 2, 3, 5, 5, 2, 2, 4, 2, 3, 5, 4, 2, 3, 3, 2, 2, 4, 1, 3, 4, 3, 2, 4, 5, 5, 2, 5, 4, 3, 2, 2, 3, 5, 4, 2, 4, 5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 2, 2, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 5, 3, 1, 3, 1, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 5, 2, 2, 3, 2, 3, 4, 1, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 5, 4, 3, 5, 3, 5, 4, 4, 3, 5, 3, 3, 5, 2, 4, 5, 4, 2, 4, 4, 4, 5, 4, 3, 3, 3, 3, 5, 4, 5, 3, 4, 3, 1, 4, 3, 3, 4, 3, 2, 3, 5, 3, 4, 3, 2, 4, 3, 4, 3, 3, 4, 2, 3, 5, 1, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 5, 5, 3, 4, 5, 3, 3, 3, 5, 5, 3, 3, 5, 5, 3, 1, 5, 5, 5, 4, 4, 5, 4, 5, 2, 4, 3, 4, 3, 3, 4, 5, 3, 5, 3, 5, 5, 5, 5, 1, 4, 4, 4, 3, 3, 5, 2, 5, 2, 5, 2, 1, 3, 5, 5, 3, 3, 4, 5, 4, 3, 5, 4, 3, 5, 3, 3, 4, 4, 5, 2, 3, 3, 4, 4, 2, 3, 1, 5, 3, 5, 4, 5, 5, 4, 3, 3, 4, 2, 2, 3, 3, 4, 4, 5, 4, 2, 4, 3, 3, 2, 4, 5, 4, 3, 2, 2, 5, 3, 5, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 2, 3, 1, 4, 4, 2, 5, 4, 4, 2, 3, 5, 3, 1, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 5, 2, 3, 5, 5, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 5, 5, 4, 1, 2, 5, 3, 4, 2, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 3, 2, 5, 2, 1, 4, 3, 3, 1, 4, 3, 4, 4, 5, 3, 2, 5, 4, 4, 4, 2, 2, 2, 4, 3, 5, 3, 4, 5, 3, 4, 3, 4, 5, 2, 4, 4, 2, 2, 3, 3, 3, 4, 5, 2, 1, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 1, 5, 2, 3, 4, 4, 2, 2, 5, 4, 3, 4, 2, 4, 2, 4, 4, 5, 4, 3, 2, 2, 3, 3, 4, 4, 3, 4, 1, 2, 5, 4, 4, 4, 1, 5, 5, 4, 1, 3, 3, 3, 2, 3, 3, 4, 2, 4, 5, 5, 4, 1, 2, 5, 5, 4, 4, 4, 2, 3, 3, 3, 5, 2, 2, 2, 4, 5, 5, 1, 4, 5, 3, 4, 5, 4, 4, 3, 4, 2, 2, 3, 3, 2, 3, 3, 2, 5, 2, 4, 3, 1, 3, 3, 3, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 2, 3, 4], "2641": [5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 1, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 1, 5, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 3, 3, 4, 2, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 2, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 2, 4, 2, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 3, 3, 5, 5, 5, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 1, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 2, 5, 4, 4, 5, 2, 5, 5, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 3, 5], "5198": [4, 2, 3, 1, 3, 1, 3, 5, 3, 3, 4, 2, 2, 1, 2, 3, 4, 5, 2, 3, 1, 3, 2, 2, 2, 3, 1, 4, 1, 4, 2, 3, 2, 1, 4, 2, 4, 3, 4, 1, 4, 3, 2, 4, 3, 2, 4, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 2, 2, 3, 2, 1, 3, 3, 2, 3, 4, 2, 4, 1, 1, 2, 2, 4, 2, 3, 3, 3, 4, 3, 2, 3, 4, 2, 4, 2, 2, 4, 2, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 2, 3, 2, 2, 4, 3, 4, 1, 1, 4, 2, 2, 2, 1, 4, 3, 5, 3, 1, 3, 2, 5, 4, 3, 2, 1, 3, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 2, 3, 3, 4, 1, 3, 2, 4, 3, 2, 2, 3, 3, 3, 1, 3, 1, 5, 2, 3, 2, 4, 2, 2, 2, 4, 1, 2, 3, 3], "326": [2, 3, 3, 3, 4, 2, 4, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 5, 2, 3, 4, 2, 2, 3, 4, 3, 4, 2, 5, 4, 5, 2, 3, 4, 5, 3, 3, 4, 1, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 2, 3, 5, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 5, 5, 4, 4, 3, 3, 4, 2, 3, 4, 2, 3, 3, 4, 3, 4, 3, 4, 2, 2, 2, 3, 3, 3, 4, 4, 3, 3, 5, 2, 2, 5, 2, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 4, 3, 2, 3, 2, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 2, 4, 4, 4, 3, 2, 1, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 3, 3, 5, 3, 2, 3, 1, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 1, 4, 4, 1, 5, 3, 3, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 3, 1, 5, 3, 3, 2, 2, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 3, 2, 3, 4, 2, 4, 2, 2, 4, 3, 3, 4, 3, 2, 4, 2, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 2, 5, 3, 2, 4, 4, 3, 2, 5, 3, 2, 5], "5562": [3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 3, 3, 2, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 2, 4, 5, 4, 3, 4, 4, 3, 2, 4], "6018": [3, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 1, 4, 5, 2, 4, 4, 4, 5, 4, 5, 3, 4, 2, 5, 4, 5, 4, 1, 3, 3, 3, 4, 5, 2, 4, 5, 5, 5, 3, 4, 3, 3, 5, 4, 2, 2, 3, 4, 5, 3, 5, 5, 3, 2, 4, 1, 3, 4, 3, 1, 1, 5, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 2, 5, 3, 3, 2, 5, 4, 3, 4, 3, 5, 4, 1, 5, 5, 4, 4, 3, 2, 3, 3, 3, 2, 4, 2, 4, 2, 2, 2, 2, 5, 4, 1, 3, 5, 3, 3, 4, 3, 1, 3, 3, 4, 3, 1, 4, 4, 5, 3, 5, 4, 5, 5, 2, 5, 3, 3, 5, 5], "340": [2, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 1, 2, 3, 4, 3, 3, 3, 4, 5, 5, 2, 3, 5, 3, 1, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 3, 3, 1, 4, 4, 5, 5, 5, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 2, 3, 3, 5, 4, 2, 3, 3, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3], "4916": [1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 3, 3, 1, 4, 1, 3, 4, 1, 2, 1, 1, 5, 1, 2, 4, 4, 1, 2, 3, 1, 2, 5, 2, 4, 4, 3, 2, 4, 3, 4, 2, 1, 5, 2, 1, 3, 1, 2, 1, 2, 2, 1, 2, 4, 5, 4, 5, 4, 1, 2, 2, 1, 3, 1, 2, 2, 4, 2, 2, 1, 4, 1, 1, 2, 1, 1, 1, 1, 5, 2, 1, 1, 1, 2, 2, 3, 3, 2, 3, 1, 4, 1, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 2, 3, 1, 2, 2, 1], "849": [5, 4, 2, 4, 5, 4, 3, 4, 3, 3, 3, 5, 3, 2, 3, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 1, 1, 5, 2, 3, 3, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 5, 3, 4, 4, 5, 3, 2, 3, 4, 3, 3, 5, 5, 4, 2, 3, 4], "3293": [4, 3, 4, 4, 1, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 1, 3, 4, 4, 4, 4, 3, 3, 3, 2], "1621": [2, 3, 4, 4, 3], "5684": [5, 2, 5, 4, 5, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 2, 1, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 2, 2, 2, 4, 3, 3, 5, 5, 4, 2, 4, 3, 5, 5, 3, 5, 3, 3, 3, 2, 1, 3, 3, 1, 5, 1, 3, 3, 3, 3, 1, 4, 5, 5, 2, 4, 5, 5, 3, 3, 2, 4, 4, 1, 5, 2, 2, 4, 3, 5, 5, 2, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 2, 5, 5, 5, 4, 3, 2, 2, 2, 3, 2, 5, 5, 5, 5, 2, 5, 5, 3, 4, 3, 4, 5, 3, 2, 3, 3, 4, 5, 5, 4, 3, 2, 4, 5, 2, 5, 3, 1, 5, 3, 5, 5, 3, 3, 5, 5, 3, 2, 5, 3, 4, 3, 5, 3, 4, 1, 3, 2, 4, 2, 1, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 2, 4, 3, 2, 2, 3, 4, 3, 4, 1, 3, 3, 5, 4, 3, 1, 3, 2, 3, 1, 5, 1, 1, 5, 4, 5, 3, 2, 1, 5, 3, 3, 5, 3, 2, 4, 5, 5, 5, 5, 5, 3, 3, 5, 4, 2, 5, 5, 4, 5, 5, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 4, 2, 3, 4, 5, 4, 2, 4, 4, 5, 4, 4, 2, 1, 4, 3, 2, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 3, 3, 4, 1, 2, 2, 5, 2, 4, 2, 5, 2, 4, 5, 2, 1, 1, 3, 2, 2, 3, 5, 5, 5, 4, 2, 2, 1, 2, 5, 4, 2, 1, 3, 4, 4, 5, 4, 2, 4, 4, 4, 4, 3, 5, 3, 2, 3, 3, 3, 5, 3, 3, 5, 5, 4, 3, 3, 4, 2, 5, 4, 5, 5, 5, 4, 3, 1, 3, 3, 1, 1, 5, 3, 5, 3, 2, 3, 5, 2, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 5, 2, 2, 5, 5, 4, 2, 4, 2, 4, 3, 4, 3, 5, 3, 3, 5, 3, 1, 3, 4, 1, 1, 4, 1, 3, 5, 4, 2, 2, 1, 3, 3, 1, 3, 1, 3, 4, 3, 3, 4, 2, 3, 2, 4, 4, 3, 5, 3, 3, 5, 5, 2, 3, 3, 3, 3, 5, 1, 5, 3, 5, 3, 4, 3, 4, 4, 2, 2, 4, 5, 5, 5, 4, 4, 2, 3, 2, 3, 5, 4, 3, 3], "3900": [4, 2, 4, 4, 3, 2, 2, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 3, 2, 4, 3, 4, 1, 3, 5, 2, 5, 4, 1, 2, 4, 2, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 2, 4, 3, 4, 1, 4, 2, 3, 3, 3, 3, 5, 2, 2, 4, 4, 2, 3, 4, 5, 4, 3, 2, 4, 3, 4, 1, 3, 2, 4, 5, 4, 3, 3, 1, 2, 1, 2, 2, 5, 4, 3, 3, 5, 4, 3, 4, 1, 3, 3, 5, 1, 5, 3, 3, 4, 2, 4, 3, 3, 1, 3, 2, 1, 3, 5, 5, 4, 4, 3, 4, 5, 3, 3, 5, 5, 3, 3, 4, 3, 5, 4, 2, 4, 2, 3, 5, 4, 2, 5, 5, 3, 4, 2, 5, 4, 3, 2, 4, 4, 1, 5, 4, 5, 5, 4, 5, 5, 2, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 2, 5, 2, 2, 4, 5, 2, 5, 3, 4, 3, 2, 3, 3, 2, 4, 4, 4, 4, 4, 2, 4, 3, 5, 1, 1, 4, 4, 5, 1, 2, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 2, 5, 5, 5, 1, 2, 1, 2, 4, 4, 4, 4, 3, 5, 4, 5, 4, 2, 3, 2, 3, 4, 5, 3, 4, 4, 3, 4, 3, 2, 5, 4, 5, 5, 5, 2, 4, 2, 5, 4, 5, 3, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 2, 5, 2, 3, 5, 3, 3, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 3, 2, 5, 4, 1, 5, 5, 5, 5, 3, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 5, 3, 3, 5, 1, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 5], "5354": [4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 5, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 1, 2, 4, 2, 4, 2, 4, 5, 2, 4, 5, 4, 4, 3, 3], "3536": [2, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 1, 4, 5, 4, 5, 2, 4, 3, 4, 4, 4, 3, 2, 4, 4, 1, 5, 5, 4, 5, 4, 5, 3, 2, 3, 5, 4, 5, 5, 5, 5, 4, 4, 3, 1, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 5, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 3, 5, 4, 3, 3, 5, 4, 5, 4, 5, 2, 4, 4, 5, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5], "4875": [5, 3, 3, 3, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 2, 5, 4, 3, 5, 3, 3, 3, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 1, 4, 5, 5, 5, 3, 2, 5, 3, 4, 4, 5, 5, 5, 1, 5, 2, 3, 5], "4114": [5, 3, 4, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 2, 3, 5, 3, 2, 4, 3, 3, 5, 4, 3, 2, 2, 4, 4, 4, 4, 5, 4, 3, 5, 3, 4, 1, 4, 4, 3, 3, 4, 4, 5, 3, 3, 2, 3, 5, 5, 2, 2, 3, 4, 5, 4, 2, 4, 3, 4, 3, 5, 4, 3, 3, 3, 5, 5, 2, 5, 3, 5, 4, 4, 2, 5, 5, 3, 1, 3, 2, 5, 4, 5, 2, 4, 2, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 2, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 2, 3, 2, 3, 5, 5, 3, 4, 4, 3, 5, 3, 3, 4, 5, 4, 5, 3, 4, 2, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 3, 2, 4, 2, 4, 4, 5, 4, 5, 5, 3, 2, 4, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 4, 3, 3, 5, 2, 3, 3, 3, 5, 4], "4246": [4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 3, 4, 1, 3, 3, 1, 4, 5, 3, 5, 5, 5, 5, 5, 5, 3, 2, 4, 1], "1506": [4, 4, 3, 5, 4, 3, 4, 3, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 2, 3, 4, 3, 5, 5, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 2, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 2, 4, 4, 4, 5, 2, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 5, 3, 2, 1, 4, 4], "2372": [5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4], "5203": [3, 5, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 5, 3, 5, 3, 5, 3, 5, 3, 2, 5, 4, 3, 5, 4, 5, 5, 4, 5, 4, 3], "1552": [4, 5, 5, 4, 2, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 1, 4, 1, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 1, 4, 5, 2, 4, 3, 3, 3, 2, 3, 5, 5, 2, 4, 5, 4, 5, 5, 4, 3, 4, 3, 5, 5, 4, 5, 4, 2, 3, 4, 2, 1, 2, 5, 5, 5, 1, 4, 5, 4, 4, 4, 5, 3, 2, 2, 5, 5, 5, 1, 4, 4, 4, 5, 3, 5, 1, 4, 5, 1, 4, 3, 3, 2, 4, 5, 5, 2, 4, 4, 3, 1, 5, 4, 5, 1, 5, 5, 4, 4, 3, 1, 4, 4, 4, 1, 3, 4, 5, 3, 4, 4, 5, 3, 2, 3, 4, 3, 3, 3, 5, 4, 3, 5, 4, 4, 1, 4, 4, 1, 1, 5, 5, 3, 4, 4, 5, 5, 3, 5, 3, 1, 4, 4, 4, 2, 3, 5, 5, 5, 2, 3, 4, 1, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 4, 3, 2, 5, 3, 5, 5, 2, 1, 1, 2, 5, 5, 3, 1, 2, 2, 1, 5, 5, 2, 2, 5, 3, 5, 4, 1, 5, 5, 3, 5, 3, 4, 5, 5, 5, 4], "3530": [5, 2, 5, 3, 3, 3, 4, 4, 4, 4, 5], "4866": [3, 5, 4, 1, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 5, 5, 3, 1, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 3, 5, 5, 3, 4, 3, 4, 3, 5, 5, 5, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4], "2099": [2, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 1, 3], "3706": [5, 5, 5, 4, 5, 4, 4, 5, 1, 2, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 1, 5, 5, 4, 5, 1, 4, 4, 1, 4, 3, 5, 4, 3, 4, 2, 5, 5, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 5, 5, 5], "1470": [2, 2, 3, 2, 4, 1, 3, 1, 2, 2, 5, 1, 4, 2, 1, 3, 1, 2, 3, 4, 2, 5, 5, 4, 2, 2, 3, 4, 3, 5, 1, 3, 4, 4, 3, 5, 4, 4, 3, 2, 5, 2, 5, 4, 3, 2, 3, 2, 3, 4, 2, 2, 1, 5, 5, 4, 2, 2, 4, 2, 1, 2, 1, 5, 2, 3, 2, 1, 3, 4, 4, 4, 1, 2, 5, 4, 1, 2, 3, 5, 1, 3, 3, 2, 3, 2, 4, 1, 2, 4, 3, 2, 3, 3, 2, 3, 3, 2, 1, 4, 5, 4, 3, 2, 1, 4, 3, 1, 2, 5, 3, 5, 2, 4, 1, 1, 1, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 1, 3, 4, 3, 2, 1, 2, 1, 5, 4, 2, 2, 2, 3, 2, 1, 2, 5, 2, 2, 5, 3, 4, 4, 3, 3, 4, 3, 3, 1, 1, 1, 4, 2, 4, 2, 2, 1, 1, 4, 2, 3, 4, 4, 2, 2, 2, 2, 4, 3, 4, 2, 2, 1, 2, 3, 1, 2, 2, 5, 4, 1, 4, 1, 1, 4, 3, 2, 4, 3, 2, 2, 3, 3, 2, 3, 1, 2, 2, 5, 5, 1, 4, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 1, 2, 2, 5, 2, 4, 2, 1, 2, 4, 2, 4, 5, 3, 5, 3, 1, 5, 1, 2, 1, 3, 1, 2, 4, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 4, 1, 1, 2, 4, 3, 2, 1, 5, 5, 3, 5, 2, 2, 3, 3, 3, 3, 4, 2, 4, 1, 3, 3, 5, 5, 1, 1, 4, 4, 1, 2, 1, 3, 2, 3, 2, 2, 3, 4, 1, 3, 3, 1, 5, 2, 2, 1, 1, 4, 2, 1, 4, 3, 4, 2, 3, 3, 2, 2, 2, 4, 1, 2, 1, 1, 4, 1, 1, 4, 1, 2, 2, 2, 2, 2, 1, 5, 1, 4, 1, 4, 1, 2, 5, 5, 3, 4, 4, 2, 4, 1, 2, 2, 3, 4, 2, 2, 2, 1, 1, 2, 3, 3, 3, 5, 4, 2, 3, 4, 2, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 5, 2, 3, 3, 2, 1, 4, 2, 2, 2, 2, 3, 2, 2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 4, 3, 3, 3, 4, 4, 4, 1, 5, 5, 5, 3, 4, 3, 5, 2, 1, 4, 1, 1, 4, 1, 4, 2, 5, 2, 1, 1, 4, 4, 2, 3, 2, 2, 5, 4, 2, 1, 2, 1, 2, 2, 5, 1, 3, 3, 2, 5, 4, 4, 4, 5, 3, 1, 3, 3, 2, 3, 3, 4, 2, 5, 2, 1, 1, 2, 5, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 3, 1, 2, 1, 2, 1, 4, 2, 3, 3, 3, 1, 4, 2, 1, 1, 3, 2, 3, 2, 3], "1332": [4, 5, 5, 3, 5, 3, 1, 3, 1, 5, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 4, 2, 2, 5, 2, 5], "4669": [2, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3], "1329": [3, 5, 2, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 2, 5, 3, 4, 5, 2, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 3, 2, 3, 4, 2, 3, 4, 3, 4, 2, 5, 3, 4, 2, 4, 4, 2, 3, 3, 5, 2, 3, 5, 3, 2, 2, 4, 1, 3, 4, 4, 5, 4, 2, 2, 2, 5, 2, 4, 4, 2, 3, 5, 4, 5, 3, 5, 1, 3, 2, 4, 3, 2, 1, 3, 3, 3, 3, 3, 3, 5, 1, 2, 3, 3, 2, 4, 4, 1, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 3, 2, 5, 4, 5, 3, 4, 5, 5, 2, 4, 4, 3, 3, 5, 4, 4, 3, 5, 2, 3, 4, 3, 2, 4, 5, 4, 5, 1, 1, 4, 3, 2, 2, 1, 3, 3, 3, 5, 1, 4, 4, 4, 3, 2, 5, 2, 3, 1, 1, 2, 3, 2, 3, 4, 5, 3, 5, 4, 2, 4, 5, 4, 5, 3, 2, 4, 1, 2, 3, 5, 3, 4, 1, 2, 4, 4, 1, 5, 5, 3, 3, 3, 3, 4, 2, 2, 2, 5, 4, 5, 3, 3, 4, 3, 2, 1, 5, 1, 4, 5, 2, 3, 1, 4, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 3, 3, 2, 1, 3, 5, 4, 2, 3], "3197": [1, 5, 5, 4, 1, 5, 1, 4, 5, 5, 3, 3, 5, 4, 2, 3, 1, 2, 1, 5, 3, 5, 4, 1, 2, 2, 2, 3, 2, 5, 3, 4, 1, 3, 5, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 3, 3, 1, 4, 2, 1, 4, 5, 5, 3, 4, 2, 4, 5, 3, 5, 1, 1, 5, 5, 5, 4, 1, 3, 1, 5, 3, 5, 5, 1, 5, 4, 4, 1, 3, 1, 5, 1, 2, 5, 3, 5, 3, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 3, 2, 5, 1, 1, 1, 5, 5, 3, 2, 4, 5, 1, 3, 4, 4, 5, 5, 4, 5], "6014": [3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 3, 5, 4, 2, 3, 4, 5, 4, 4, 2, 4, 4, 4, 4, 5, 2, 5, 3, 4, 3, 4, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 1, 5, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 2, 4, 2, 4, 5, 3, 5, 3, 4, 2, 3, 3, 4, 3, 3, 4, 4, 1, 5, 5], "545": [3, 3, 3, 4, 4, 5, 4, 2, 5, 4, 5, 4], "5976": [3, 1, 5, 3, 1, 5, 5, 2, 3, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 3, 3, 5, 1, 3, 5, 4, 2, 4, 3, 5, 4, 1, 2, 5, 4, 1, 3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 1, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 1, 4, 5, 2, 4, 4, 5, 1, 3, 5, 4, 4, 5, 3, 2, 2, 5, 4, 3, 3, 3, 4, 5, 5, 2, 3, 4, 3, 2, 3], "3894": [5, 4, 4, 3, 4, 3, 2, 5, 4, 4, 3, 5, 4, 2, 5, 4, 1, 5, 4, 5, 5, 2, 4, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 2, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 2, 1, 1, 5, 5, 3, 4, 3, 4, 4, 2, 4, 3, 5, 5, 3, 2, 2, 4, 2, 4, 4, 4, 1, 2, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 3, 1, 3, 4, 4, 5, 3, 5, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 3, 3, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4], "133": [4, 5, 2, 4, 1, 3, 5, 5, 3, 4, 5, 4, 5, 5, 4, 2, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 5, 4, 4, 3, 2, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 1, 1, 4, 4, 5, 5, 1, 5, 4, 4, 5, 5, 2, 5, 3, 4, 5, 4, 4, 4, 5, 5, 1, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 1, 4, 5, 4, 3, 4, 4, 3, 5, 5, 4, 1, 5, 4, 5], "1665": [4, 4, 4, 2, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 3, 4, 5, 4, 4, 1, 5, 1, 4, 4, 4, 5, 4, 3, 2, 5, 4, 3, 3, 1, 4, 5, 3, 3, 1, 2, 3, 3, 3, 5, 3, 2, 5, 5, 5, 4, 3, 2, 5, 5, 2, 4], "905": [2, 5, 4, 4, 4, 5, 2, 3, 5, 3, 2, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 2, 5, 5, 5, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 2, 4, 5, 3, 4, 4, 4, 3, 5, 2, 4, 3, 3, 4, 2, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 5, 2, 3, 5, 3, 4, 4, 5, 3, 3, 4, 5, 4, 4, 3, 5, 4, 3, 5, 4, 1, 2, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4], "4950": [3, 3, 4, 4, 2, 4, 2, 5, 2, 5, 3, 4, 4, 4, 4, 2, 2, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 2, 4, 5, 4, 3, 5, 4, 3, 5, 5, 2, 3, 2, 4, 3, 4, 5, 4, 2, 4, 4, 5, 4, 3, 4, 4, 2, 2, 2, 4, 2, 4, 3, 4, 3, 4, 5, 4, 4, 4, 1, 5, 3, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 3, 4, 2, 4, 3, 5, 2, 3, 3, 3, 4, 4, 3, 5, 2, 5, 4, 3, 3, 4, 3, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 2, 3, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 1, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 3, 5, 4, 2, 2, 4, 4, 3, 1, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 2, 4, 4, 4, 1, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 3, 2, 4, 4, 2, 3, 4, 3, 4, 4, 2, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 3, 2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 1, 4, 3, 2, 2, 5, 2, 3, 4, 2, 3, 4, 1, 5, 4, 4, 5, 4, 3, 1, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 5, 4, 4, 3, 4], "2176": [5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 1, 5, 3, 5, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 2], "5335": [5, 5, 3, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 1, 3, 4, 3, 2, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 3, 2, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 2, 5, 4, 4, 5, 5, 2, 3, 3, 3, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5], "519": [4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3], "5181": [5, 5, 3, 3, 5, 4, 5, 2, 5, 4, 4, 5, 5, 5, 5], "3904": [4, 5, 5, 5, 3, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 4, 2, 3, 3, 3, 4, 4, 4, 5, 5, 1, 4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 5, 2, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4], "5742": [5, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4], "1712": [4, 4, 3, 3, 4, 5, 2, 3, 2, 4, 4, 5, 3, 4, 3, 4, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 5, 4, 1, 5, 4, 3, 3, 5, 2, 4, 3, 5, 3, 4, 5, 4, 4, 4, 5, 3, 4, 3, 1, 4, 3, 3, 3, 4, 1, 2, 2, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 2, 1, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 2, 2, 3, 3, 4, 3, 3, 3, 5, 2, 5, 4, 2, 2, 3, 1, 4, 4, 4, 5, 4, 3, 4, 5, 2, 3, 5, 2, 3, 2, 2, 1, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 2, 2, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 1, 4, 5, 3, 3, 3, 4, 2, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3, 2, 5, 4, 3, 2, 3, 4, 2, 4, 2, 2, 3, 3, 4, 4, 3, 4, 4, 5, 5, 2, 3, 4, 2, 5, 4, 3, 5, 4, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 1, 4, 5, 3, 1, 2, 5, 4, 3, 2, 3, 5, 3, 3, 4, 2, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 5, 2, 3, 4, 4, 5, 4, 5, 4, 5, 1, 3, 4, 4, 4, 2, 2, 3, 1, 5, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 5, 4, 2, 5, 2, 4, 5, 2, 2, 2, 5, 5, 4, 3, 1, 2, 5, 3, 1, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 5, 3, 3, 2, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 4, 2, 5, 3, 4, 4, 3, 4, 3, 2], "1501": [5, 4, 4, 3, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4, 5, 3, 5, 4, 4, 4, 2, 3, 5, 3, 3, 4, 5, 2, 3, 3, 4, 3, 5, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 2, 2, 4, 3, 4, 3, 2, 3, 3, 3, 5, 2, 4, 3, 4, 4, 3, 1, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 5, 1, 3, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 1, 3, 5, 3, 4, 3, 1, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 1, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 4, 2, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 3, 3, 4, 3, 5, 2, 4, 3, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5], "5228": [4, 5, 4, 4, 5, 4, 4, 4, 1, 4, 4, 1, 2, 3, 3], "2769": [2, 2, 4, 4, 5, 4, 5, 5, 3, 2, 5, 5, 3, 4, 5, 2, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 2, 5, 4, 4, 5, 5, 5, 4, 5, 2, 5, 2, 3, 5, 4, 4, 5, 5, 4, 5, 3, 1, 2, 3, 5, 4, 4, 4, 2, 2, 2, 3, 5, 5, 4, 4, 3, 4, 2, 4, 3, 1, 5, 4, 1, 5, 4, 5, 4, 1, 4, 4, 5, 3, 3, 4, 1, 5, 1, 5, 1, 4, 4, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 3, 4, 3, 4, 1, 5, 3, 2, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 3, 3, 5, 4, 3], "4843": [5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 1, 5, 3, 3, 3, 3, 4, 2, 5, 3, 5, 5, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 2, 4, 5, 4, 4, 5, 5, 3, 4, 5, 3, 3, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 1, 4, 5, 4, 5, 4, 5, 3, 5], "1498": [3, 1, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 2, 3, 5, 4, 4, 4, 4, 5, 3, 2, 2, 4, 3, 2, 2, 4, 3, 5, 2, 5, 4, 4, 4, 5, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4], "5252": [5, 5, 5, 5, 4, 5, 5, 2, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4], "2258": [5, 4, 2, 3, 3, 4, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 3, 3, 4, 1, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 4, 4, 1, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 2, 2, 4, 3, 3, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 2, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 2, 4, 2, 4, 3, 2, 4, 3, 4, 1, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 5, 3, 5, 5, 5, 4, 3, 2, 4, 4, 2, 4, 3, 4, 3, 3, 2, 4, 3, 2, 4, 4, 3, 4, 4, 5, 3, 3, 5, 2, 2, 4, 1, 2, 1, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 1, 2, 4, 2, 3, 2, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 2, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 3, 3, 4, 2, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 3, 4, 5, 2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 5, 4, 3, 4, 4, 4, 2, 2, 4, 5, 4, 3, 4, 5, 3, 3, 3, 4, 5, 4, 4, 3, 2, 4, 4, 4, 2, 5], "2518": [5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 4, 4, 3, 5, 4, 5, 5, 4, 2, 3, 4, 3, 1], "4036": [5, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 4, 2, 3, 5, 3, 3, 4, 3, 3, 3, 3, 5, 3, 4, 5, 3, 5, 2, 2, 3, 3, 3, 3, 1, 4, 3, 4, 2, 4, 3, 3, 4, 4, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 5, 4, 4, 3, 4, 3, 2, 5, 4, 5, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 3, 2, 4, 4, 2, 3, 1, 5, 5, 4, 5, 3, 3, 3, 4, 2, 2], "3334": [5, 2, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 2, 4, 4, 3, 4, 5, 5, 2, 3, 4, 4, 2, 4, 4, 5, 3, 4, 2, 5, 4, 5, 5, 5, 3, 3, 2, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 5, 1, 5, 5, 3, 4, 5, 3, 5, 3, 5, 3, 5, 4, 4, 4, 5, 3, 4, 3, 4], "352": [4, 4, 4, 1, 4, 4, 3, 3, 3, 3, 5, 4, 5, 1, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 1, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 1, 5, 3, 4, 3, 3, 5, 5, 4, 4, 5, 2, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 1, 2, 2, 3, 3, 4, 4, 4, 5, 4, 2, 3, 3, 4, 3, 1, 3, 3, 2, 5, 1, 5, 4, 1, 4, 5, 3, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 1, 4, 4, 4, 2, 5, 4, 3, 3, 1, 4, 2, 3, 5, 3, 4, 4, 4, 3, 3, 1, 4, 3, 3, 5, 3, 5, 3, 4, 3, 2, 5, 3, 2, 2, 4, 4, 5, 2, 5, 4, 4, 4, 3, 4, 2, 4, 3, 3, 4, 4, 1, 3, 2, 5, 2, 3, 2, 3, 5, 4, 1, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 2, 4, 4, 3, 4, 2, 3, 4, 4, 3, 5, 2, 3, 3, 2, 1, 5, 3, 3, 4, 5, 4, 3, 4, 1, 3, 2, 1, 3, 4, 3, 3, 4, 2, 3, 3, 3, 4, 5, 4, 3, 2, 4, 5, 2, 1, 3, 1, 3, 2, 4, 3, 3, 5, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 2, 1, 5, 1, 3, 4, 4, 4, 4, 3, 5, 2, 4, 2, 3, 4, 3, 3, 5, 2, 5, 5, 2, 5, 4, 4, 3, 1, 4, 3, 2, 3, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 2, 3, 5, 1, 3, 2, 1, 4, 4, 4, 4, 3, 4, 2, 2, 5, 5, 4, 3, 4, 2, 4, 4, 3, 4, 3, 4, 1, 2, 2, 5, 4, 4, 1, 3, 4, 3, 2, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 1, 4, 5, 5, 2, 4, 2, 1, 2, 5, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 3, 1, 2, 4, 4, 2, 4, 4, 3, 5, 3, 3, 3, 3, 1, 4, 5, 4, 1, 5, 4, 4, 5, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 2, 1, 1, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 3, 5, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5, 5, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 2, 3, 2, 3, 2, 4, 2, 4, 4, 4, 3, 3, 5, 5, 2, 3, 4, 3, 3, 3, 5, 5, 4, 4, 3, 4, 4, 3, 2, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 5, 5, 3, 4, 2, 3, 5, 3, 3, 2, 3, 3, 4, 4, 3, 5, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 1, 5, 3, 1, 5, 3, 4, 3, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 5, 1, 5, 3, 5, 4, 4, 3, 3, 2, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 5, 4, 3, 4, 5, 5, 3, 2, 3, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 5, 2, 2, 4, 3, 5, 2, 4, 4, 2, 2, 3, 2, 4, 3, 4, 4, 4, 4, 5, 5, 2, 4, 2, 3, 3, 4, 4, 5, 4, 4, 3, 5, 5, 2, 3, 3, 3, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 2, 2, 5, 5, 4, 4, 3, 2, 3, 3, 1], "5065": [4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 4, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 4, 2, 4, 4, 4, 5, 5, 3, 5, 5, 1, 5, 5, 3, 3, 2, 1, 4, 3, 4, 2, 5, 3, 3, 5, 2, 5, 4, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 5, 4, 2, 4, 2, 4, 5, 5, 5, 2, 5, 4, 4, 5, 5, 3, 2, 3, 4, 2, 4, 2, 3, 2, 1, 4, 4, 4, 5, 3, 4, 2, 2, 4, 5, 5, 5, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 1, 5, 1, 3, 5, 5, 5, 3, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 5, 3, 3, 4, 2, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 4, 3, 2, 4, 4, 2, 4, 3, 4, 2, 3, 4, 4, 4, 2, 1, 3, 3, 5, 2, 3, 3, 4, 5, 5, 4, 5, 2, 5, 4, 4, 4, 2, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 2, 2, 3, 5, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 3, 1, 1, 2, 3, 4, 5], "5827": [4, 4, 3, 4, 5, 5, 4, 3, 4, 3, 5, 2, 5, 3, 4, 5, 4, 5, 4, 1, 3, 4, 5, 5, 4, 3, 2, 3, 4, 5, 4, 5, 5, 4, 4, 4, 1, 4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 2, 4, 5, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 2, 4, 5, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5], "4025": [3, 5, 4, 4], "4001": [3, 5, 4, 5, 5, 3, 3, 4, 3, 4, 3, 3, 5, 4, 3, 1, 3, 1, 5, 4, 3, 2, 4, 3, 4, 5, 3, 2, 4, 4, 4, 2, 4, 5, 3, 3, 3, 4, 2, 5, 2, 3, 2, 4, 4, 5, 2, 4, 5, 2, 4, 2, 3, 4, 4, 2, 3, 4, 3, 3, 5, 4, 4, 1, 3, 5, 5, 4, 4, 2, 2, 3, 5, 5, 3, 5, 3, 4, 4, 4, 1, 2, 5, 2, 1, 3, 5, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 3, 4, 3, 2, 4, 3, 4, 5, 4, 4, 3, 4, 5, 2, 4, 3, 5, 3, 4, 5, 2, 3, 1, 3, 2, 3, 3, 4, 2, 3, 3, 2, 5, 4, 4, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 2, 4, 4, 1, 4, 5, 5, 4, 5, 3, 4, 3, 5, 5, 2, 2, 4, 3, 5, 4, 1, 2, 5, 5, 5, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 2, 1, 1, 1, 2, 1, 1, 2, 5, 5, 3, 5, 2, 4, 5, 3, 3, 3, 5, 3, 4, 3, 4, 3, 3, 5, 2, 5, 4, 3, 1, 4, 1, 3, 2, 3, 2, 3, 4, 3, 3, 4, 3, 2, 2, 1, 1, 4, 1, 3, 3, 3, 4, 3, 5, 5, 3, 4, 4, 4, 2, 3, 5, 2, 4, 3, 3, 5, 1, 2, 3, 2, 5, 5, 5, 3, 4, 2, 4, 4, 3, 3, 2, 3, 3, 3, 5, 5, 4, 3, 5, 3, 3, 3, 2, 5, 4, 2, 2, 1, 4, 4, 4, 3, 5, 5, 5, 3, 1, 3, 5, 4, 3, 5, 5, 3, 1, 1, 4, 5, 4, 3, 1, 5, 2, 4, 5, 3, 4, 3, 4, 4, 5, 2, 3, 1, 5, 4, 4, 3, 1, 4, 4, 5, 5, 4, 4, 2, 3, 3, 5, 2, 3, 4, 3, 4, 3, 3, 5, 3, 3, 5, 3, 3, 4, 1, 2, 4, 5, 3, 3, 4, 4, 3, 1, 5, 4, 3, 2, 4, 5, 3], "5218": [3, 5, 3, 3, 4, 5, 5, 3, 3, 5, 5, 4, 2, 4, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 1, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3], "5192": [5, 5, 1, 4, 4, 3, 5, 3, 4, 4], "1145": [1, 3, 5, 1, 5, 5, 3, 3, 3, 4, 2, 4, 2, 2, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 2, 1, 3, 4, 5, 4, 5, 5, 5, 1, 5, 5, 1, 1, 1, 3, 1, 1, 4, 5, 2, 1, 3, 5, 1, 3, 3], "257": [3, 4, 5, 5, 5, 5, 5, 5, 1, 5, 5, 2, 5, 3, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5], "155": [3, 2, 1, 4, 4, 1, 2, 3, 1, 2, 4, 4, 5, 4, 4, 4, 1, 4, 5, 4, 3, 2, 5, 3, 4, 3, 5, 1, 4, 5, 5, 3, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 5, 3, 1, 5, 4, 2, 1, 4, 3, 2, 5, 4, 2, 2, 5, 5, 1, 4, 5, 2, 3, 1, 2, 3, 2, 5, 3, 1, 1, 4, 4, 2, 4, 5, 4, 2, 3, 5], "1191": [3, 4, 5, 5, 5, 5, 4, 2, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 2, 3, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 3, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 3, 5], "200": [3, 4, 1, 4, 5, 4, 2, 4, 5, 5], "4964": [3, 4, 4, 3, 4, 3, 2, 5, 4, 3, 3, 4, 1, 3, 5, 3, 3, 4, 5, 4, 3, 3, 5, 3, 2, 5, 3, 5, 1, 3, 4, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 4, 4, 2, 5, 5, 2, 2, 5, 4, 4, 4, 4, 3, 2, 5, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 1, 5, 3, 3, 4, 2, 3, 2, 3, 2, 4, 4, 4, 4, 2, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 5, 5, 5, 3, 3, 2, 4, 4, 4, 5, 5, 2, 5, 4, 5, 3, 5, 3, 4, 3, 4, 3, 3, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 2, 2, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 3, 5, 1, 4, 4, 5, 4, 1, 4, 3, 5, 5, 4, 2, 2, 2, 3, 5, 3, 3, 3, 4, 4, 1, 4, 4, 3, 4, 2, 5, 4, 5, 3, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 4, 2, 5, 4, 3, 5, 4, 3, 3, 2, 2, 1, 3, 2, 5, 4, 4, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 5, 3, 4, 4, 4, 1, 5, 4, 3, 5, 4, 2, 3, 2, 5, 3, 3, 4, 4, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4], "773": [5, 4, 3, 2, 4, 3, 3, 4, 4, 3, 2, 2, 3, 4, 3, 3, 4, 4, 4, 4], "5888": [1, 3, 4, 3, 4, 5, 5, 5, 1, 2, 3, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 5, 4, 3, 3, 4, 5, 1, 3, 2, 4, 5, 5, 5, 3, 5, 3, 4, 4, 1, 5, 4, 4, 3, 1, 1, 3, 5, 4, 5, 5, 3, 3, 4, 5, 1, 3, 5, 5, 5, 2, 5, 4, 2, 4, 3, 4, 4, 1, 4, 4, 4, 2, 4, 3, 4, 4, 1, 4, 4, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 1, 1, 2, 3, 4, 2, 3, 1, 1, 4, 5, 5, 5, 2, 5, 4, 4, 1, 4, 3, 3, 4, 5, 4, 5, 5, 5, 3, 5, 2, 2, 2, 3, 1, 5, 5, 2, 3, 3, 2, 3, 3, 4, 2, 5, 5, 4, 3, 3, 1, 3, 2, 2, 3, 5, 4, 2, 3, 4, 5, 1, 2, 4, 3, 4, 5, 5, 1, 5, 5, 3, 4, 3, 2, 2, 3, 4, 4, 3, 4, 4, 1, 1, 4, 3, 2, 1, 1, 4, 4, 4, 3, 4, 1, 3, 3, 4, 4, 5, 5, 5, 3, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 3, 1, 3, 3, 5, 1, 4, 5, 5, 3, 5, 4, 2, 4, 1, 5, 5, 3, 4, 3, 2, 5, 5, 5, 5, 3, 4, 2, 3, 3, 4, 3, 1, 2, 3, 3, 1, 4, 4, 5, 1, 4, 3, 2, 5, 4, 2, 1, 1, 3, 2, 3, 5, 4, 5, 5, 4, 1, 5, 1, 5, 5, 1, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 2, 3, 5, 1, 5, 5, 4, 1, 5, 3, 4, 2, 1, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 2, 4, 5, 3, 3, 1, 2, 1, 2, 5, 2, 4, 5, 3, 4, 4, 1, 1, 2, 3, 1, 3, 4, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 4, 3, 1, 1, 1, 5, 1, 3, 3, 4, 4, 2, 3, 2, 4, 1, 1, 3, 2, 5, 2, 2, 3, 4, 4, 1, 2, 3, 4, 4, 1, 5, 1, 3, 2, 3, 4, 2, 2, 1, 2, 1, 1, 1, 2, 2, 4, 4, 3, 2, 1, 1, 5, 5, 2, 5, 5, 4, 4, 4, 2, 1, 3, 2, 1, 4, 5, 2, 1, 5, 3, 4, 2, 3, 2, 1, 1, 5, 5, 3, 1, 3, 5, 1, 4, 4, 3, 3, 2, 4, 5, 4, 1, 3, 5, 5, 4, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 4, 5, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 2, 1, 3, 1, 4, 3, 4, 2, 4, 2, 4, 3, 3, 2, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 1, 5, 4, 4, 4, 2, 1, 4, 1, 2, 1, 2, 1, 4, 5, 1, 5, 5, 4, 3, 2, 2, 1, 5, 4, 3, 3, 2, 3, 3, 4, 4, 2, 5, 4, 4, 4, 1, 4, 4, 4, 2, 1, 3, 3, 4, 1, 1, 5, 2, 2], "5900": [4, 3, 4, 2, 3, 2, 4, 3, 3, 2, 1, 3, 4, 3, 5, 2, 5, 2, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 2, 4, 1, 4, 4, 3, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 4, 3, 2, 3, 3, 4, 3, 3, 5, 2, 3, 3, 4, 3, 2, 3, 2, 3, 5, 5, 3, 1, 3, 4, 2, 3, 2, 5, 3, 3, 2, 2, 4, 3, 2, 2, 4, 5, 5, 2, 2, 2, 2, 5, 2, 4, 3, 3, 2, 5, 5, 4, 4, 1, 5, 3, 2, 4, 3, 3, 4, 4], "4542": [5, 5, 3, 4, 3, 2, 5, 4, 2, 4, 5, 5, 2, 5, 4, 3, 3, 4], "3718": [5, 3, 3, 5, 5, 3, 3, 3, 1, 3, 5, 3, 3, 3, 5, 3, 5, 5, 3, 2, 3, 2, 3, 5, 4, 5, 5, 5, 3, 1, 3, 4, 3, 4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 5, 2, 4, 5, 4, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 2, 5, 3, 4, 4, 2, 5, 5, 3, 5, 3, 5, 2, 4, 3, 3, 4, 1, 4, 5, 5, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 1, 4, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 2, 4, 2, 4, 3, 4, 3, 3, 2, 4, 2, 3, 4, 5, 4, 4, 1, 2, 5, 1, 4, 5, 4, 4, 4, 5, 4, 2, 4, 2, 5, 4, 4, 2, 5, 5, 4, 3, 3, 2, 3, 5, 3, 4, 3, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 4, 3, 2, 5, 5, 4, 5, 4, 3, 3, 3, 5, 5, 4, 3, 4, 3, 3, 2, 3, 1, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 3, 5, 1, 5, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 2, 2, 4, 5, 3, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 2, 2, 4, 5, 3, 5], "3380": [5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 2, 5, 3, 5, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 3, 5, 5, 3, 3, 4, 3, 3, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 5, 4, 3, 5, 3, 5, 5, 4, 3, 3, 4, 3, 5, 5, 2, 5, 2, 3, 4, 3, 2, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 5, 3, 3, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 3, 4, 5, 3, 4, 3, 4, 5, 3, 5, 5, 5, 3, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 3, 3, 5, 5, 5, 2, 4, 3, 3, 4, 4, 3, 5, 5, 5, 2, 4, 3, 2, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 2, 3, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 3, 5, 3, 3, 3, 3, 4, 4, 4, 5, 2, 3, 5, 3, 2, 3, 3, 4, 5, 5, 4, 5, 3, 4, 4, 5, 3, 2, 2, 3, 3, 5, 3, 4, 3, 3, 4, 4, 2, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 2, 3, 5, 4, 3, 3, 5, 3, 4, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 5, 3, 5, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 3, 3, 5, 2, 3, 4, 3, 3, 5, 4, 5, 1, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 3, 5], "3300": [4, 3, 5, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 1, 3, 2, 4, 4, 4, 4, 2, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 5, 5, 5, 4, 3, 3, 3, 2, 5, 5, 5, 5, 3, 5, 5, 2, 3, 3, 4, 3, 5, 3, 2, 4, 4, 5, 3, 4, 5, 5, 2, 4, 5, 3, 5, 4, 4, 5, 3, 5, 2, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 3, 3, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 2, 5, 4, 5, 5, 2, 4, 5, 1, 4, 5, 5, 4, 4, 4, 5, 2, 4, 4, 5, 5, 5, 3, 5, 3, 5, 3, 2, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 3, 4, 4, 1, 4, 4, 5, 5, 4, 5, 5, 4, 2, 2, 4, 2, 4, 4, 3, 4, 4, 1, 3, 4, 4, 5, 4, 3, 3, 5, 4, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 4, 3, 1, 1, 4, 4, 4, 3, 4, 5, 5, 3, 5, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 3, 2, 5, 2, 3, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 3, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 3, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 2, 5, 5], "1741": [3, 4, 5, 4, 2, 5, 2, 3, 4, 3, 5, 5, 5, 4, 3, 4, 5, 3, 5, 3, 5, 5, 5, 4, 2, 2, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 4, 2, 4, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 2, 4, 4, 4, 5, 3, 5, 5, 1, 4, 5, 4, 5, 2, 5, 5, 5, 5, 3, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 2, 2, 5, 1, 3, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 1, 3, 5, 3, 3, 5, 4, 2, 5, 3, 4, 4, 4, 4, 5, 3, 1, 1, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 2, 5, 3, 5, 5, 3, 4, 3, 3, 2, 4, 2, 4, 5, 3, 4, 5, 5, 4, 1, 4, 5, 5, 4, 5, 3, 2, 5, 4, 4, 4, 3, 5, 4, 2, 4, 2, 4, 1, 5, 5, 5, 5, 2, 5, 5, 4, 4, 5, 3, 5, 5, 5, 2, 5, 4, 3, 5, 4, 3, 2, 5, 2, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 1, 5, 5, 4, 4, 4, 2, 4, 3, 5, 5, 5, 3, 2, 4, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 5, 3, 5, 3, 5, 5, 5, 4, 3, 3, 5, 1, 1, 5, 5, 5, 3, 4, 5, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 1, 5, 4, 4, 5, 2, 4, 5, 5, 5, 5, 4, 1, 3, 5, 4, 1, 2, 3, 4, 4, 3, 4, 5, 3, 4, 4, 3, 3, 2, 4, 2, 3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 3, 3, 5, 4, 2, 2, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 1, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 1, 5, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 5, 2, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 1, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 1, 2, 2, 5, 4, 4, 4, 5, 4, 2, 5, 4, 5, 1, 5, 5, 1, 5, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 4, 2, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 3, 5, 3, 5, 3, 4, 3, 2, 5, 4, 5, 4, 3, 4, 4, 5, 3, 2, 5, 5, 4, 4, 5, 4, 1, 4, 5, 3, 5, 3, 4, 5, 5, 5, 2, 5, 4, 3, 5, 3, 5, 1, 5, 4, 4, 5, 3, 3, 5, 5, 3, 5, 5, 5, 2, 5, 3, 5, 5, 4, 4, 5, 5, 5, 2, 5, 3, 4, 4, 3, 5], "2730": [5, 5, 3, 5, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 5, 5, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 5, 2, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 2, 4, 5, 1, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 2, 1, 4, 5, 3], "5793": [5, 2, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4], "4323": [3, 2, 5, 3, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 5, 3, 1, 3, 3, 2, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 3, 5, 3, 2, 1, 3, 4, 2, 5, 5, 3, 4, 4, 3, 2, 4, 4, 4, 2, 4, 4, 5, 3, 3, 5, 3, 4, 2, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 3, 2, 5, 3, 4, 3, 2, 3, 5, 4, 4, 5, 3, 3, 4, 2, 2, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 3, 5, 4, 4], "2872": [4, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 2, 4, 2, 4, 4, 2, 5, 5, 5, 4, 2, 3, 5, 5, 5, 3, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 2, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 2, 5, 5, 4, 1, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 1, 5, 3, 3, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 1, 4, 3, 2, 3, 5, 4, 2, 4, 3, 4, 5, 2, 5, 4, 4, 5, 5, 4, 4, 2, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 4, 4, 1, 5, 4, 2, 4, 3, 3, 5, 5, 4, 5, 5, 5, 5, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 2, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 5, 4, 4, 4, 2, 5, 5, 3, 2, 4, 4, 4, 1, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 1, 3, 3, 4, 5, 4, 4, 5, 4, 1, 4, 4, 4, 1, 4, 3, 4, 5, 5, 2, 4, 5, 3, 5, 5, 3, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4], "5619": [3, 3, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 3, 4, 1, 5, 3, 3, 2, 2, 3, 4, 5, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 2, 3, 3], "607": [5, 5, 4, 3, 5, 3, 5, 5, 4, 3, 5, 4, 5, 4], "4874": [4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5], "5183": [3, 4, 5, 1, 5, 3, 2, 5, 3, 2, 4, 2, 5, 5, 4, 5, 4, 4, 2, 2, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 5, 4, 3, 5, 5, 4, 4, 5, 2, 4, 4, 3, 3, 2, 4, 5, 5, 3, 4, 3, 2, 3, 2, 3, 3, 4], "1324": [4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 4, 5, 3, 5, 4, 5, 5, 1, 3, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 3, 2, 4, 5, 3, 5, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 2, 5, 4, 5], "3178": [3, 2, 3, 4, 3, 3, 5, 3, 2, 3, 5, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 4, 2, 2, 1, 3, 4, 3, 3, 5, 4, 3, 4, 5, 1, 2, 2, 1, 3, 3, 4, 4, 3, 1, 2, 2, 1, 2, 1, 2, 4, 2, 4, 4, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 1, 1, 1, 2, 3, 1, 2, 4, 4, 5, 4, 4, 2, 3, 3, 1, 3, 4, 3, 1, 5, 2, 3, 5, 3, 2, 2, 3, 5, 4, 2, 1, 3, 4, 2, 3, 1, 1, 3, 1, 3, 1, 4, 5, 2, 1, 2, 2, 1, 5, 4, 1, 2, 3, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 2, 2, 3, 2, 3, 3, 2, 1, 2, 4, 2, 3, 2, 1, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 1, 3, 4, 2, 4, 2, 2, 1, 5, 4, 2, 5, 3, 4, 3, 3, 4, 1, 3, 2, 3, 3, 3, 3, 2], "913": [5, 3, 5, 4, 4, 4, 4, 2, 2, 4, 1, 3, 5, 3, 4, 4, 3, 1, 4, 3, 3, 5, 3, 2, 2, 4, 1, 5, 3, 4, 2, 4, 4, 3, 5, 2, 1, 4, 2, 5, 1, 2, 5, 4], "5508": [4, 4, 5, 3, 3, 5, 4, 5, 4, 3, 3, 3, 5, 3, 4, 3, 5, 3, 5, 5, 3, 4, 3, 3, 2, 1, 4, 3, 5, 2, 4, 3, 5, 3, 5, 3], "1830": [3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 2, 5, 4, 4, 5, 2, 5, 5, 5, 4, 5, 4, 3, 5], "5797": [3, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 4, 5, 1, 2, 2, 2, 5, 2, 5, 2, 5, 1, 5, 4, 5, 3, 5, 4, 3, 5, 3, 4, 5, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 4, 5, 2, 4, 4, 2, 2, 5, 3, 4, 3, 1, 2, 4, 3, 3, 2, 3, 4, 3, 3, 5, 4, 2, 4, 3, 2], "3514": [4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 3, 5, 5, 3, 4, 3, 4, 2, 3, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 5, 2, 5, 5, 5, 4, 2, 5, 3, 2, 4, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 5, 3, 5, 4, 4, 3, 5, 5, 3, 4, 5, 4, 5], "4472": [3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 2, 2, 3, 1, 3, 4, 4, 2, 3, 4, 3, 4, 4, 1, 4, 3, 4, 4, 4, 4, 3, 4, 2, 3, 2, 2, 3, 3, 3, 4, 4, 5, 2, 4, 3, 4, 1, 2, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 2, 2, 3, 2, 3, 3, 1, 4, 5, 1, 5, 2, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 1, 3, 4, 2, 2, 4, 2, 4, 5, 4, 3, 4, 4, 4, 2, 5, 2, 3, 2, 3, 4, 4, 4, 5, 2, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 2, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 1, 4, 2, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 3, 3, 5, 4, 4, 2, 3, 3, 4, 4, 4, 2, 3, 3, 2, 4, 4, 2, 3, 4, 4, 3, 5, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 5, 2, 4, 3, 2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 2, 4, 2, 5, 5, 1, 4, 4, 3, 4, 4, 2, 3, 3, 1, 3, 3, 3, 5, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 3, 3, 2, 2, 4, 4, 4, 3, 2, 3, 3, 2, 3, 5, 2, 2, 4, 4, 3, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 4, 3, 4, 5, 2, 3, 4, 2, 2, 4, 3, 3, 2, 4, 5, 4, 5, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 3, 2, 1, 4, 3, 3, 4, 4, 2, 5, 4, 4, 3, 2, 5, 3, 4, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 5, 2, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 3, 1, 3, 3, 4], "3148": [3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 2, 3, 3, 3, 3, 4, 5, 3, 5, 3, 4, 3, 4, 5, 3, 4, 4, 5, 2, 3, 3, 3, 5, 5, 4, 3, 5, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 2, 3, 5, 4, 4, 4, 3, 5, 5, 3, 3, 3], "4054": [5, 4, 4, 3, 5, 4, 3, 4, 4, 3, 2, 3, 5, 2, 4, 4, 5, 4, 4, 4, 4, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 1, 3, 3, 5, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 3, 4, 5, 5, 4, 4, 3, 3, 5, 3, 2, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 2, 4, 4, 3, 5, 3, 4, 2, 4, 5, 4, 4, 2, 4, 2, 3, 4, 3, 4, 3, 4, 4, 3, 2, 3, 5, 4, 5, 4, 5, 3, 3, 5, 3, 2, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 4, 2, 5, 2, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 2, 2, 3, 3, 5, 4, 2, 3, 3, 5, 4, 4, 3, 2, 5, 5, 3, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 5, 3, 2, 4, 2, 4, 4, 5, 3, 5, 5, 4, 3, 3, 3, 3, 2, 4, 1, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 4, 5, 3, 5, 2, 5, 4, 2, 1, 3, 4, 5, 3, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 4, 3, 2, 4, 3, 5, 4, 5, 3, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 5, 4, 1, 3, 4, 3, 5, 5, 2, 3, 3, 5, 3, 4, 4, 4, 5, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 1, 4, 4, 2, 2, 3, 2, 2, 4, 2, 4, 2, 2, 4, 3, 3, 2, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 1, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 5, 3, 3, 4, 5, 5, 1, 3, 3, 3, 2, 4, 5, 3, 4, 3, 5, 3, 3, 4, 3, 4, 5, 4, 4, 5, 3, 3, 3, 3, 3, 2, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 5, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 4, 2, 5, 2, 2, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 5, 3, 4, 5, 3, 4, 5, 3, 5, 3, 3, 2, 4, 5, 5, 5, 4, 3, 4, 5, 5, 2, 4, 3, 3, 3, 3, 5, 3, 3, 5, 2, 5, 4, 4, 2, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 1, 4, 4, 4, 2, 4, 5, 1, 4, 4, 4, 5, 5, 5, 4, 2, 4, 4, 4, 3, 4, 5, 4], "627": [3, 4, 5, 3, 4, 1, 3, 5, 4, 4, 4, 5, 3, 2, 1, 2, 1, 3, 5, 3, 3, 3, 5, 5, 5], "1283": [4, 5, 3, 3, 3, 5, 5, 3, 3, 4, 5, 3, 1, 2, 1, 1, 4, 2, 4, 1, 5, 5, 4, 3, 4, 3, 5, 3, 4, 5, 2, 2, 5], "2088": [5, 5, 5, 5, 2, 5, 3, 3, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 3, 5, 5, 1, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 1, 5, 2, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 1, 3, 5, 2, 1, 5, 5, 4, 3, 3, 5, 3, 5, 4, 3, 5, 4, 4, 5, 4, 2, 1, 3, 5, 2, 3, 3, 3, 3, 3, 5, 5, 3, 5, 5, 4, 5, 5, 3, 5, 4, 2, 3, 5, 4, 5, 3, 3, 4, 3, 5, 2, 3, 5, 4, 3, 4, 3, 4, 5, 4, 5, 1, 4, 4, 4, 4, 1, 4, 5, 3, 3, 4, 4, 5, 3, 4, 5, 2, 4, 4, 3, 1, 3, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 3, 5, 5, 3, 4, 4, 5, 4, 1, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4, 3, 4, 4, 3, 3, 5, 3, 5, 5, 5, 3, 4, 4, 3, 2, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 1, 4, 5, 1, 3, 3, 4, 1, 3, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 3, 2, 3, 3, 1, 1, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 1, 3, 4, 2, 5, 3, 4, 3, 2, 2, 4, 3, 3, 5, 5, 3, 3, 4, 5, 4, 5, 5, 3, 4, 3, 5, 4, 3, 4, 4, 5, 3, 3, 5, 4, 4, 4, 5, 3, 4, 5, 3, 2, 2, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 3, 5, 5, 5, 5, 4, 1, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 2, 5, 3, 5, 3, 3, 5, 5, 4, 5, 4, 4, 5, 4, 3, 2, 5], "3987": [4, 3, 3, 3, 2, 2, 2, 2, 3], "1400": [3, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 2, 5, 5, 2, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5], "2998": [4, 4, 5, 4, 2, 4, 5, 3, 2, 5, 1, 1, 1, 5, 5, 4, 4, 3, 5, 3, 3, 1, 4, 4, 5, 4, 4, 4, 3, 2, 3, 2, 5, 4, 2, 1, 5, 4, 4], "2146": [3, 1, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 3, 5, 5, 3, 2, 5, 1, 5, 1, 5, 2, 1, 1, 1, 3, 4, 5, 2, 4, 4, 3, 1, 3, 3, 3, 5, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 2, 3, 4, 4, 2, 2, 3, 2, 3, 4, 2, 2, 3, 4, 4, 4, 4, 1, 4, 3, 4], "3639": [3, 3, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 5, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 2, 3, 3, 3, 3, 2, 2, 3, 2], "3066": [2, 3, 4, 3, 3, 4, 3, 4, 1, 4, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3], "2970": [3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 3, 5], "3939": [3, 4, 5, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2], "3665": [5, 3, 2, 3, 3, 4, 4, 5, 2, 4, 5, 5, 3, 4, 4, 3, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 3, 4, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 5, 3, 3, 5, 4, 5, 5, 2, 4, 3, 3, 2, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 2, 5, 5, 4, 4, 4, 4, 5, 5, 3, 2, 3, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 2, 3, 4, 5, 5], "3393": [3, 5, 5, 3, 5, 3, 3, 3, 3, 4, 5, 5, 1, 5, 5, 5, 4, 2, 3, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 2, 1, 3, 5, 5, 1, 2, 5, 3, 5, 4, 3, 2, 2, 3, 4, 5, 5, 3, 1, 4, 5, 3, 1, 5, 5, 3, 5, 5, 3, 2, 5, 3, 5, 1, 5, 3, 5, 3, 1, 3, 5, 5, 4, 4, 4, 2, 1, 1, 1, 5, 5, 3, 5, 4, 4, 1, 4, 2, 5, 2, 3, 2, 5, 2, 4, 5, 3, 4, 3, 3, 5, 4, 3, 2, 5, 2, 4, 4, 5, 4, 4, 3, 3, 1, 4, 4, 4, 2, 4, 5, 5, 4, 1, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 5, 2, 3, 2, 2, 5, 3, 1, 4, 2, 3, 3, 4, 3, 5, 5, 4, 5, 2, 2, 2, 1, 4, 4, 5, 4, 3, 4, 4, 2, 5, 2, 4, 5, 2, 4, 3, 3, 2, 2, 2, 3, 5, 5, 2, 5, 3, 5, 1, 4, 1, 3, 4, 5, 4, 5, 4, 2, 2, 4, 3, 2, 2, 5, 5, 2, 5, 3, 3, 5, 4, 4, 1, 4, 5, 2, 2, 3, 5, 5, 2, 1, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 1, 5, 3, 4, 4, 5, 1, 3, 4, 2, 2, 5, 5, 5, 4, 3, 5, 5, 4, 4], "2148": [3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 2, 1, 3, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 2, 4, 4, 4, 2, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 1, 4, 5, 4, 2, 4, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 4, 5, 5, 1, 4, 4, 2, 4, 4, 1, 3, 5, 2, 4, 4, 4, 5, 5, 4, 3, 1, 2, 5, 4, 4, 3, 5, 2, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 3, 3, 4, 1, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 3, 5, 4, 5, 4, 4, 3, 4, 3, 2, 4, 2, 4, 5, 5, 4, 5, 1, 5, 3, 5, 5, 5, 2, 4, 3, 3], "3667": [5, 2, 4, 4, 3, 5, 5, 4, 3, 4, 5, 4, 5, 5, 3, 2, 5, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 4, 4, 5, 5, 2, 4, 3, 5, 4], "5904": [5, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 4, 2], "724": [5, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 3, 2, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 2, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 1, 4, 4, 4, 5, 2, 3, 1, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4], "454": [2, 3, 5, 2, 3, 3, 5, 5, 4, 1, 1, 5, 2, 5, 5, 5, 5, 5, 1, 5, 1, 1, 4, 3, 3, 4, 2, 3, 3, 3, 5, 5, 5, 4, 1, 2, 3, 3, 5, 4, 4, 1, 2, 3, 2, 5, 1, 4, 1, 3, 4, 5, 5, 2, 1, 2, 5, 3, 5, 5, 3, 5, 1, 5, 1, 1, 1, 2, 3, 3, 3, 5, 5, 5, 5, 5, 1, 2, 4, 5, 4, 1, 3, 5, 2, 1, 1, 5, 4, 3, 1, 2, 4, 4, 3, 1, 4, 4, 5, 3, 5, 5, 1, 5, 4, 5, 5, 5, 1, 2, 4, 3, 1, 3, 5, 1, 1, 2, 4, 4, 1, 1, 1, 1, 4, 2, 5, 5, 3, 1, 2, 5, 4, 4, 1, 2, 1, 2, 5, 3, 1, 1, 1, 4, 5, 5, 3, 2, 1, 2, 1, 3, 3, 4, 1, 1, 5, 5, 5, 4, 4, 4, 2, 1, 4, 1, 2, 3, 5, 5, 4, 5, 1, 1, 4, 5, 4, 2, 5, 4, 1, 5, 5, 5, 5, 3, 5, 1, 4], "4928": [4, 4, 3, 4, 3, 3, 5, 4, 3, 2, 2, 3, 3, 4, 2, 3, 2, 4, 4, 3, 2, 4, 3, 4, 2, 5, 4, 3, 4, 4, 2, 4, 5, 3, 3, 2, 3, 2, 4, 4, 5, 3, 3, 1, 2, 3, 3, 2, 2, 2, 4, 4, 3, 4, 3, 2, 2, 3, 2, 3, 2, 3, 4, 4, 2, 2, 4, 2, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 2, 3, 3, 4, 4, 2, 2, 4, 2, 3, 3, 2, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 2, 4, 4, 4, 4, 2, 3, 5, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 5, 4, 1, 5, 4, 5, 4, 4, 2, 4, 2, 3, 4, 4, 4, 2, 3, 2, 1, 4, 3, 2, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 2, 3, 4, 3, 2, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 5, 4, 5, 1, 2, 2, 3, 2, 2, 4, 3, 4, 4, 3, 4, 4, 2, 5, 3, 4, 4, 3, 4, 5, 3, 5, 2, 2, 2, 2, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 2, 3, 4, 2, 5, 4, 2, 3, 1, 1, 5, 2, 5, 4, 4, 4, 2, 3, 4, 2, 4, 3, 3, 4, 3, 3, 3, 2, 3, 2, 4, 2, 1, 3, 3, 3, 3, 1, 3, 2, 5, 3, 3, 5, 1, 2, 5, 4, 4, 2, 3, 3, 4, 2, 4, 4], "2994": [3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 1, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 3, 5, 5, 2, 1, 4, 3, 4, 3, 3, 3, 2, 2, 3, 5, 4, 3, 4, 3, 2, 1, 3, 5, 3, 2, 2, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 4, 5, 3, 5, 5, 3, 3, 3, 4, 3, 3, 4, 2, 4, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 2, 2, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 5, 2, 3, 3, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 4, 2, 4, 3, 3, 2, 2, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 5, 3, 3, 5, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 4, 4, 5, 3, 3, 5, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 5, 2, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 1, 3, 3, 3, 4, 3, 5, 4, 2, 4, 4, 2], "717": [3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 5, 5, 3, 2, 4, 4, 2, 4, 3, 3], "1379": [5, 4, 4, 3, 3, 5, 4, 2, 1, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3], "1793": [4, 3, 5, 5, 4, 5, 3, 4, 2, 4, 4, 5, 3, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 1, 3, 4, 2, 4, 4, 5, 4, 1, 1, 5, 3, 2, 2, 1, 2, 4, 5, 1, 4, 2, 5, 4, 3, 1, 3, 2, 4, 4, 2, 2, 4, 5, 1, 1, 3, 5, 3, 2, 5, 5, 3, 4, 1, 4, 1, 3, 5, 2, 2, 3, 2, 2, 2, 5, 4, 4, 1, 5, 5, 4, 4, 1, 4, 4, 5, 4, 3, 4, 2, 4, 5, 5, 4, 5, 5, 4, 3, 4, 3, 4, 5, 3, 1, 2, 3, 4, 2, 4, 2, 3, 5, 3, 5, 5, 4, 3, 3, 3, 3, 3, 1, 4, 5, 2, 3, 1, 4, 5, 4, 4, 4, 4, 1, 4, 1, 4, 2, 4, 4, 4, 4, 4, 1, 5, 3, 2, 1, 5, 4, 5, 1, 1, 4, 3, 4, 3, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 1, 4, 5, 5, 4, 2, 3, 3, 4, 4, 4, 1, 4, 4, 3, 4, 4, 1, 5, 5, 3, 4, 5, 3, 1, 5, 5, 4, 4, 5, 3, 5, 1, 3, 5, 5, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 1], "312": [3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3], "2527": [5, 2, 3, 5, 5, 5, 3, 5, 3, 5, 5, 1, 3, 5, 5, 5, 5, 5, 2], "3149": [4, 2, 5, 3], "4894": [4, 5, 5, 4, 1, 3, 5, 5, 4, 5, 5, 3, 3, 3, 3, 5, 5, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 1, 5, 4, 5, 4, 5, 4, 3, 2], "3301": [5, 2, 4, 5, 4, 2, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 3, 1, 5, 3, 1, 1, 2, 4, 4, 5, 5, 3, 4, 1, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 4, 5, 4, 5, 5, 4, 4, 5, 2, 2, 4, 5, 2, 4, 3, 3, 3, 4, 5, 4, 2, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 2, 5, 3, 4, 1, 5, 5, 3, 5, 4, 5, 2, 4, 1, 4, 3, 5, 5, 3, 3, 2, 3, 4, 4, 1, 4, 2, 4, 4, 2, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 5, 3, 3, 4, 4, 3, 4, 5, 2, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 1, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 3, 2, 4, 5, 3, 5, 4, 3, 5, 4, 5, 4, 3, 5, 2, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 1, 4, 4, 5, 1, 2, 4, 5, 5, 3, 3, 4, 5, 3, 4, 5, 5, 5], "197": [5, 5, 4, 2, 2, 5, 3, 5, 5, 2, 4, 4, 3, 3, 5], "1409": [4, 4, 5, 5, 5, 4, 2, 4, 3, 4, 4, 4, 2, 3, 5, 4, 5, 3, 5, 5, 5, 4, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 2, 5, 5, 4, 5, 4, 4, 4, 5, 4, 2, 4, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3], "685": [4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 2, 4, 4, 2, 3, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 2, 3, 5, 1, 5, 5, 4, 4, 3, 3, 5, 1, 4, 3, 3, 3, 3, 2, 4, 5, 4, 4, 3, 3, 3, 2, 1, 3, 2, 3, 3, 4, 2, 4, 3, 3, 3, 5, 4, 1, 3, 4, 4, 3, 1, 2, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 2, 2, 4, 4, 4, 3, 3, 1, 2, 4, 1, 2, 2, 2, 4], "1772": [2, 5, 4, 5, 2, 3, 2, 4, 4, 2, 3, 3, 4, 4, 4, 3, 5, 4, 4, 5, 2], "4633": [3, 5, 4, 4, 3, 5, 1, 4, 5, 1, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 2, 5, 5, 3, 2, 3, 4, 3, 5, 4, 5, 5, 5, 2, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 5, 3, 2, 4, 4, 4, 4, 4, 5], "2657": [4, 1, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4], "432": [2, 3, 2, 5, 5, 4, 4, 3, 3, 3, 2, 4, 3, 4, 5, 3, 4, 2, 3, 2, 4, 5, 5, 2, 1, 3, 3, 3, 4, 5, 2, 1, 3, 2, 3, 2, 2, 3, 3, 5, 1, 3, 4, 2, 4, 2, 4, 2, 2, 2, 4, 4], "3889": [4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 4, 3, 3, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5], "5075": [5, 5, 5, 2, 5, 5, 4, 1, 5, 3, 5, 3, 5, 5, 5, 2, 5, 2, 5, 5, 3, 5, 5, 5, 4, 5, 2, 5, 5, 2, 5, 5, 4, 5, 4, 5, 4, 2, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5], "1624": [4, 2, 1, 3, 4, 1, 5, 1, 3, 5, 4, 4, 2, 3, 3, 2, 4, 5, 2, 5, 1, 1, 1, 5, 5, 5, 4, 2, 2, 4, 3, 4, 4, 5, 5, 3, 5, 4, 4, 5, 1, 3, 4, 1, 2, 1, 2, 1, 2, 4, 5, 5, 3, 4, 1, 3, 4, 2, 1, 1, 5, 4, 2, 3, 5, 5, 1, 1, 5, 3, 1, 2, 1, 4, 5, 5, 3, 1, 1, 1, 5, 4, 1, 4, 4, 1, 5, 1, 1, 2, 1, 1, 3, 3, 2, 2, 3, 1, 2, 5, 2, 4, 4, 5, 1, 1, 4, 1, 1, 2, 4, 3, 2, 1, 3, 5, 1, 5, 5, 2, 5, 4, 5, 3, 2, 5, 2, 5, 3, 5, 4, 3, 1, 3, 2, 3, 5, 1, 5, 3, 3, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 2, 3, 4, 3, 5, 5, 1, 2, 2, 1, 1, 3, 5, 3, 2, 2, 4, 4, 2, 3, 3, 2, 2, 2, 4, 1, 5, 4, 5, 3, 4, 1, 4, 3, 4, 3, 3, 3, 2, 3, 3, 5, 5, 4, 5, 1, 1, 1, 4, 3, 3, 3, 5, 4, 3, 1, 1, 1, 2, 3, 5, 3, 2, 3, 1, 2, 2, 5, 2, 3, 4, 1, 5, 4, 2, 4, 3, 5, 4, 5, 1, 3, 1, 2, 2, 2, 2, 3, 4, 5, 3, 3, 5, 4, 2, 4, 5, 5, 4, 5, 3, 5, 4, 1, 1, 5, 4, 5, 4, 5, 5, 5, 4, 1, 1, 5, 2, 5, 4, 4, 4, 2, 1, 3, 5, 5, 4, 3, 3, 5, 3, 3], "1": [5, 3, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4], "2880": [3, 4, 3, 3, 4, 4, 4, 4, 3, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 5, 4, 4, 4, 5, 4, 3, 5, 3, 3, 4, 5, 4, 2, 3, 1, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 1, 2, 4, 5, 3, 2, 3, 1, 2, 4, 4, 4, 4, 3, 3, 3, 1, 4, 3, 4, 5, 2, 2, 5, 5, 3, 2, 4, 4, 3, 4, 5, 2, 4, 5, 5, 3, 1, 2, 2, 3, 3, 4, 4, 4, 3, 5, 2, 4, 3, 4, 4, 5, 4, 5, 5, 2, 4, 3, 3, 5, 3, 5, 4, 3, 3, 4, 3, 1, 2, 2, 1, 2, 3, 3, 2, 5, 3, 4, 3, 4, 5, 4, 3, 1, 4, 2, 4, 5, 4, 3, 2, 1, 4, 4, 3, 1, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 2, 4, 3, 4, 2, 4, 3, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 1, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 2, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 2, 4, 2, 2, 3, 4, 2], "4466": [4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 2, 5, 5, 4, 3, 3, 4, 5, 4, 3, 5, 3, 3, 2, 3, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4], "922": [4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 3, 4, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 2, 4, 2, 5, 5, 4, 2, 1, 5, 4, 2, 4, 5, 2, 5, 5, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 5, 3, 2, 4, 5, 3, 5, 5, 1, 1, 5, 5, 5, 3, 4, 4, 3, 3, 3, 4, 4, 3, 1, 4, 3, 3, 2, 4, 4, 3, 5, 5, 3, 2, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 2, 5, 4, 5, 4, 2, 4, 4, 5, 4, 4, 1, 4, 3, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 1, 4, 5, 1, 2, 1, 2, 2, 5, 5, 2, 1, 1, 1, 4, 4, 1, 1, 1, 3, 3, 3, 5, 3, 2, 2, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 1, 5, 5, 4, 1, 4, 1, 1, 4, 5, 2, 3, 3, 4, 1, 4, 3, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 2, 5, 4, 4, 5, 5, 5, 5, 3, 3, 2, 4, 2, 5, 4, 5, 5, 1, 5], "4670": [4, 5, 4, 4, 2, 2, 2, 4, 5, 5, 2, 5, 4, 1, 5, 3, 1, 4, 3, 4, 3, 1, 2, 5, 3, 2, 4, 3, 3, 5, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 5, 2, 4, 5, 4, 3, 4, 4, 4, 5, 2, 5, 5, 4, 4, 2, 5, 3, 5, 4, 4, 3, 4, 3, 1, 2, 5, 4, 3, 3, 5, 2, 2, 4, 2, 3, 4, 1, 3, 1, 3, 3, 3, 5, 2, 5, 3, 2, 3], "1069": [1, 1, 1, 2, 5, 5, 5, 1, 1, 4, 5, 1, 3, 4, 2, 2, 2, 3, 5, 1, 1, 4, 3, 1, 5, 1, 1, 5, 3, 1, 2, 4, 1, 2, 5, 1, 3, 5, 3, 4, 1, 4, 3, 4, 1, 2, 2, 1, 4, 5, 5, 3, 4, 4, 5, 5, 4, 1, 4, 1, 3, 3, 2, 1, 5, 2, 1, 1, 3, 2, 2, 5, 5, 5, 5, 1, 4, 3, 3, 4, 1, 5, 2, 4, 1, 2, 4, 1, 2, 5, 5, 2, 1, 2, 2, 4, 3, 2, 5, 1, 2, 5, 5, 3, 2, 2, 4, 5, 5, 1, 4, 5, 2, 2, 2, 1, 2, 1, 1, 4, 2, 4, 4, 3, 2, 3, 1, 4, 2, 1, 3, 4, 4, 2, 3, 4, 1, 4, 5, 1, 1, 3, 3, 4, 5, 2, 5, 4, 4, 4, 4, 1, 4, 2, 3, 2, 4, 3, 2, 4, 5, 2, 2, 2, 5, 5, 2, 2, 4, 3, 2, 3, 3, 4, 3, 1, 4, 4, 4, 1, 4, 1, 5, 4, 5, 5, 4, 1, 4, 5, 2, 3, 1, 2, 5, 4, 2, 3, 3, 2, 4, 2, 3, 1, 3, 2, 4, 1, 4, 2, 2, 1, 5, 2, 1, 2, 3, 4, 1, 1, 5, 2, 3, 4, 2, 4, 1, 2, 4, 2, 3, 2, 2, 3, 3, 1, 4, 4, 5, 1, 4, 1, 1, 4, 4, 3, 1, 5, 4, 5, 3, 1, 4, 4, 5, 5, 5, 4, 1, 2, 4, 2, 4, 3, 2, 2, 3, 4, 2, 3, 3, 5, 4, 3, 1, 5, 2, 2, 4, 1, 1, 5, 5, 5, 4, 1, 4, 2, 3, 2, 2, 4, 4, 5, 4, 2, 1, 1, 3, 2, 5, 2, 2, 3, 1, 3, 1, 1, 5, 2, 1, 1, 3, 5, 1, 4, 3, 5, 3, 1, 4, 3, 5, 5, 3, 3, 3, 5, 1, 2, 3, 2, 2, 2, 2, 5, 4, 3, 5, 2, 3, 3, 1, 4, 4, 3, 1, 5, 5, 1, 3, 4, 4, 1, 4, 4, 2, 4, 3, 4, 3, 1, 4, 2, 4, 3, 5, 2, 2, 1, 2, 2, 1, 4, 1, 2, 2, 4, 3, 4, 5, 2, 4, 4, 5, 2, 5, 1, 2, 1, 2, 1, 2, 1, 2, 4, 3, 1, 2, 5, 2, 4, 1, 4, 1, 5, 4, 3, 5, 1, 3, 1, 4, 3, 2, 4, 2, 2, 1, 3, 5, 5, 2, 3, 5, 4, 3, 4, 2, 3], "1114": [2, 5, 2, 3, 1, 5, 5, 4, 4, 3, 1, 4, 5, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 1, 5, 3, 5, 2, 5, 3, 3, 2, 5, 4, 2, 3, 5, 3, 4, 1, 1, 1, 5, 3, 5, 5, 2, 3, 3, 3, 5, 1, 4, 5, 5, 4, 4, 5, 2, 3, 4, 2, 3, 5, 5, 5, 5, 5, 5, 2, 5, 3, 3, 2, 5, 5, 5, 2, 4, 3, 3, 2, 4, 1, 4], "3040": [5, 3, 4, 4, 2, 5, 4, 4, 3, 5, 3, 3, 4, 3, 2], "739": [4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4], "5525": [3, 4, 4, 4, 5, 2, 5, 5, 5, 4, 5, 5], "313": [5, 3, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3], "3215": [4, 3, 3, 4, 1, 1, 4, 4, 4, 5, 3, 3, 4, 1, 3, 4, 4, 4, 5, 1, 4, 4], "5313": [3, 1, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 2, 5, 4, 4, 5, 5, 3, 4, 3, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 2, 4, 5, 3, 3, 5, 2, 3, 4, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4], "3769": [5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 3, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 3, 5, 5, 5, 5, 2, 4, 4, 5, 5, 4, 5, 5, 3, 5, 3, 5, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 3, 4, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 4, 4, 4, 2, 5, 4, 3, 5, 3, 5, 4, 5, 5, 3, 3, 5, 3, 5, 4, 4, 3, 4, 4, 3, 4, 3, 2, 4, 2, 4, 5, 3, 5, 5, 3, 4, 5, 4, 5, 3, 5, 5, 4, 3, 4, 4, 3, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5], "3613": [5, 5, 3, 5, 3, 4, 2, 4, 3, 3, 3, 3, 5, 4, 3, 2, 3, 4, 4, 4, 4, 3, 5, 3, 3, 5, 4, 5, 5, 5, 3, 2, 2, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 2, 3, 5, 4, 5, 4, 4, 4], "2776": [4, 5, 5, 5, 3, 5, 4, 2, 3, 1, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 2, 5, 4, 3, 4, 5, 1, 4, 2, 4, 5, 5, 4, 2, 4, 3, 4, 2, 4, 4, 1, 3, 3, 5, 5, 1, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 1, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 1, 3, 2, 3, 4, 5, 5, 4, 3, 4, 5, 3, 5, 1, 3, 3, 3, 3, 1, 4, 2, 4, 5, 4, 3, 4, 5, 5, 3, 4, 2, 4, 5, 4, 2, 4, 4, 4, 5, 1, 2, 2, 5, 4, 5, 2, 4, 5, 5, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 1, 5, 2, 3, 5, 4, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 3, 3, 4, 1, 2, 5, 5, 5, 5, 4, 5, 3, 3, 1, 5, 5, 3, 4, 4, 4, 4, 3, 1, 3, 5, 1, 3, 4, 3, 3, 5, 5, 4, 4, 5, 4, 2, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 1, 5, 3, 5, 3, 5, 5, 1, 3, 1, 1, 1, 1, 4, 5, 4, 3, 4, 1, 4, 3, 4, 5, 4, 1, 3, 3, 5, 4, 1, 3, 5, 4, 5, 5, 4, 2, 2, 5, 5, 4, 5, 5, 3, 5, 3, 5, 2, 4, 4, 5, 3, 4, 2, 5, 4, 5], "3843": [5, 1, 1, 1, 1, 1, 1, 1, 4, 3, 1, 2, 1, 3, 1, 1, 1, 3, 5, 3, 2, 4, 2, 3, 2, 5, 4, 3, 1, 4, 4, 3, 3, 1, 2, 5, 1, 3, 4, 2, 4, 2, 2, 1, 1], "4444": [5, 5, 5, 3, 2, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 2, 5, 4, 2, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 2, 5, 3, 4, 3, 5], "1186": [5, 4, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 2, 4, 4, 3, 4, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 4, 2, 4, 5, 4, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 5, 4, 3], "4591": [2, 5, 5, 4, 5, 4, 2, 1, 4, 3, 2, 3, 4, 3, 3, 3, 3, 5, 2, 4, 3, 5, 4, 4, 3, 4, 2, 2, 3, 2, 4, 3, 5, 3, 3, 2, 2, 3, 4, 2, 3, 2, 4, 4, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 3, 2, 2, 2, 4, 3, 2, 1, 5, 5, 2, 2, 3, 2, 4, 4, 4, 3, 5, 3, 2, 4, 5, 2, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 2, 3, 3, 3, 5, 4, 3, 3, 4, 4, 5, 5, 4, 1, 4, 4, 3, 5, 5, 5, 4, 3, 4, 3, 2, 2, 4, 4, 5, 3, 4, 2, 3, 2, 2, 4, 4, 4, 2, 5, 4, 2, 2, 3, 3, 3, 1, 4, 2, 4, 4, 5, 3, 3, 4, 3, 3, 4, 1, 4, 2, 2, 2, 3, 3, 3, 5, 2, 3, 2, 2, 4, 2, 5, 2, 2, 4, 3, 5, 4, 2, 5, 4, 5, 4, 4, 2, 2, 2, 3, 5, 1, 3, 5, 3, 4, 2, 4, 3, 2, 4, 4, 4, 4, 2, 1, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 3, 3, 4, 4, 3, 3, 2, 5, 4, 4, 3, 4, 4, 5, 4, 3, 2, 3, 5, 4, 4, 4, 5, 5, 2, 1, 4, 5, 4, 3, 4, 3, 3, 2, 1, 2, 5, 5, 4, 1, 2, 4, 3, 3, 5, 3, 4, 3, 3, 4, 4, 5, 2, 4, 4, 1, 3, 5, 5, 3, 2, 2, 1, 2, 1, 2, 4, 2, 1, 3, 4, 4, 3, 4, 3, 4, 2, 3, 5, 2, 2, 2, 2, 3, 3, 4, 5, 2, 3, 4, 4, 2, 3, 2, 4, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 4, 2, 4, 3, 1, 2, 2, 2, 3, 4, 2, 4, 3, 2, 4, 1, 4, 2, 5, 1, 3, 3, 4, 3, 3, 3, 4, 3, 2, 4, 1, 5, 3, 4, 2, 1, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 2, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 2, 1, 4, 4, 4, 2, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 3, 2], "5005": [1, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 4, 2, 4, 3, 3, 2, 5, 3, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 3, 2, 2, 5, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 4, 2, 3, 4, 3, 5, 5, 4, 4, 2, 3, 4, 5, 3, 3, 2, 3, 1, 4, 3, 4, 3, 2, 3, 4, 2, 1, 3, 5, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 2, 2, 5, 4, 4, 2, 3, 1, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 1, 3, 4, 3, 3, 5, 3, 5, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 3, 3, 3, 5, 4, 5, 1, 3, 4, 3, 4, 4, 1, 4, 3, 4, 3, 3, 1, 4, 4, 4, 2, 5, 3, 3, 3, 4, 2, 1, 5, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 3, 4, 5, 3, 2, 2, 4, 3, 4, 3, 5, 4, 5, 4, 3, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 5, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 3, 4, 1, 3, 4, 5, 3, 5, 3, 3, 5, 4, 4, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 1, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 4, 3, 5, 4, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 5, 2, 4, 3, 3, 4, 4, 2, 2, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 5, 3, 3, 2], "5402": [4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 1, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 3, 3, 1, 5, 3, 1, 4], "5321": [2, 4, 5, 2, 3, 3, 3, 1, 3, 3, 3, 4, 1, 4, 3, 3, 4, 3, 4, 4, 2, 3, 1, 3, 3, 1, 3, 2, 5, 4, 4, 1, 2, 3, 4, 4, 2, 5, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 5, 4, 5, 3, 5, 4, 2, 3, 3, 2, 4, 3, 2, 1, 3, 2, 5, 4, 2, 2, 3, 3, 3, 4, 5, 4, 5, 3, 3, 4, 5, 3, 3, 2, 5, 5, 4, 3, 5, 4, 4, 5, 4, 2, 2, 3, 4, 3, 4, 2, 3, 3, 2, 2, 2, 3, 5, 2, 4, 2, 2, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 4, 3, 1, 3, 4, 4, 5, 3, 3, 4, 1, 4, 3, 3, 5, 4, 4, 2, 3, 3, 4, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 1, 3, 1, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 2, 2, 3, 3, 4, 3, 1, 2, 2, 3, 3, 1, 5, 2, 5, 3, 4, 1, 3, 4, 4, 1, 2, 1, 3, 5, 2, 2, 1, 3, 4, 4, 4, 5, 3, 3, 2, 3, 4, 4, 3, 5, 5, 4, 3, 1, 4, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 1, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 5, 4], "470": [4, 4, 4, 4, 4, 1, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 1, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 1, 4, 5, 2, 5, 4, 4, 4, 5, 5, 5, 2, 5, 5, 2, 3, 4, 5, 5, 4, 2, 4, 4, 5, 5, 3, 1, 1], "2263": [4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 2, 3, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 4, 2, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 2, 4, 5, 2, 4, 1, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 1, 4, 5, 4, 4, 2, 2, 4, 3, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 1, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 2, 5, 4, 3, 2, 3, 5, 4, 2, 3, 4, 4, 4, 4, 2, 4, 4, 4, 5, 3, 4, 4, 1, 4, 4, 4, 3, 5, 3, 3, 4, 2, 4, 5, 3, 2, 5, 4, 4, 3, 5, 3, 3, 4, 4, 4, 5, 3, 5, 5, 2, 4, 3, 3, 3, 4, 5, 3], "1099": [5, 5, 5, 3, 3, 4, 3, 2, 4, 5, 2, 1, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 1, 4, 5, 2, 4, 5, 5, 3, 5, 4, 3, 4, 4, 1, 1, 1, 1, 5, 4, 5, 3, 1, 3, 2, 3, 1, 5, 3, 2, 5, 5, 3, 2, 3, 5, 2, 4, 2, 4, 1, 5, 1, 5, 1, 3, 4, 5, 5, 3, 3, 4, 5, 2, 4, 3, 3, 4, 3, 2, 4, 1, 4, 5, 4, 1, 4, 1, 4, 4, 4, 4, 4, 5, 2, 1, 3, 3, 3, 5, 1, 3, 5, 3, 5, 3, 4, 5, 5, 3, 2, 4, 4, 3, 3, 1, 1, 2, 2, 5, 1, 3, 5, 3, 2, 4, 4, 5, 3, 1, 5, 4, 5, 5, 4, 5, 1, 2, 3, 4, 5, 5, 5, 1, 5], "960": [4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 3, 3, 5, 1, 3, 3, 5, 5, 3, 5, 5, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 1, 4, 4, 3, 5, 3, 5, 3, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 5, 3, 5, 1, 5, 5], "4737": [5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 3, 5, 4, 5, 5, 4, 5, 2, 5, 4, 5, 5, 3, 4, 5, 4, 5, 5, 2, 4, 5, 5, 5, 5, 3, 5, 4, 3, 5, 5, 5, 1, 4, 5, 1, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5], "1351": [4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4], "391": [4, 5, 2, 4, 4, 5, 3, 4, 3, 3, 1, 5, 5, 5, 1, 4, 5, 1, 4, 4, 2, 4, 5, 4, 3, 4, 5, 4, 1, 2, 5, 1, 5, 4, 3, 3, 4, 3, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 5, 3, 4, 4, 1, 5, 5, 5, 4, 4, 4, 5, 4, 2, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5], "5066": [5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 2, 5, 5, 2, 1, 3], "1122": [3, 4, 4, 3, 3, 5, 3, 2, 5, 3, 2, 2, 3, 2, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 2, 3, 4, 4, 3, 4, 5, 4, 5, 3, 3, 3, 4, 2, 2, 2, 3, 3, 2, 2, 3, 4, 4, 3, 3, 1, 3, 3, 2, 3, 1, 3, 2, 3, 2, 4, 3, 2, 4, 2, 4, 3, 4, 1, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 3, 2, 4, 5, 4, 4, 4, 4, 2, 3, 3, 2, 3, 4, 3], "5751": [3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 3, 2, 3, 3, 5, 3, 4, 4, 4, 2, 4, 4, 2, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 1], "219": [3, 3, 3, 2, 4, 3, 4, 4, 1, 3, 3, 2, 4, 3, 3], "5216": [3, 5, 4, 5, 3, 2, 1, 2], "3616": [4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 5], "1789": [3, 4, 4, 5, 5, 4, 5, 5, 2, 5, 5, 5, 4, 5, 5], "775": [3, 3, 3, 5, 5, 4, 4], "5877": [4, 1, 3, 5, 4, 2, 4, 5, 5], "6019": [4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 2, 2, 3, 5, 3, 3, 5, 3, 3, 3, 4, 4, 2, 3, 2, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 2, 3, 4, 5, 2, 3, 3, 2, 4, 3, 5], "1675": [3, 3, 3, 4, 5, 3, 3, 4, 5, 5, 5, 4, 1, 4, 3, 4, 4, 4, 1, 3, 4, 5, 4, 3, 3, 5, 4, 5, 2, 3, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 3, 4, 2, 2, 3, 4, 3, 4, 2, 4, 4, 2, 4, 3, 1, 4, 3, 1, 1, 5, 4, 2, 3, 2, 3, 2, 3, 4, 3, 5, 3, 5, 1, 4, 3, 2, 1, 4, 3, 3, 3, 4, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 4, 2, 3, 4, 1, 4, 3, 1, 1, 4, 4, 3, 2, 3, 4, 5, 3, 5, 5, 5, 3, 5, 4, 5, 2, 4, 5, 2, 5, 3, 2, 1, 1, 4, 5, 3, 5, 5, 5, 2, 2, 4, 5, 1, 4, 4, 2, 4, 1, 3, 3, 4, 3, 5, 5, 4, 2, 3, 3, 3, 5, 2, 3, 1, 4, 4, 2, 4, 2, 1, 5, 3, 3, 3, 3, 2, 3, 4, 4, 5, 1, 3, 4, 3, 4, 4, 4, 5, 3, 1, 2, 5, 4, 1, 4, 3, 1, 5, 2, 4, 2, 5, 1, 1, 4, 1, 4, 5, 1, 3, 2, 4, 2, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 1, 2, 4, 4, 3, 5, 4, 2, 3, 4, 4, 4, 4, 4, 2, 4, 1, 3, 3, 4, 4, 4, 3, 5, 2, 4, 3, 2, 4, 3, 3, 3, 3, 2, 4, 1, 2, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 4, 3, 1, 1, 1, 1, 2, 3, 3, 2, 3, 3, 5, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 1, 4, 3, 2, 4, 3, 1, 4, 4, 4, 4, 3, 3, 3, 3, 2, 1, 5, 2, 4, 3, 2, 3, 1, 3, 1, 3, 3, 3, 5, 1, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 2, 3, 4, 4, 3, 5, 4, 1, 4, 5, 3, 4, 3, 3, 3, 4, 4, 1, 3, 1, 1, 3, 5, 3, 2, 4, 4, 4, 4, 4, 3, 3, 3, 1, 1, 3, 4, 2, 2, 3, 3, 4, 1, 1, 1, 4, 3, 4, 1, 1, 1, 1, 3, 3, 1, 3, 5, 3, 4, 4, 4, 1, 4, 3, 3, 3, 5, 3, 3, 3, 3, 2, 3, 2, 5, 1, 3, 3, 5, 1, 3, 5, 3, 5, 4, 4, 4, 5, 3, 5, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 1, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4, 3, 1, 4, 3, 5, 5, 4, 5, 2, 4, 4, 3, 1], "1641": [3, 4, 5, 4, 4, 4, 2, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 5, 1, 1, 4, 5, 4, 1, 1, 1, 2, 2, 2, 2, 4, 1, 1, 3, 5, 2, 5, 1, 1, 1, 1, 2, 1, 4, 1, 1, 5, 4, 3, 2, 4, 1, 1, 3, 1, 3, 1, 1, 2, 1, 2, 3, 4, 5, 4, 1, 4, 1, 1, 2, 1, 2, 4, 4, 3, 3, 3, 4, 1, 1, 1, 1, 4, 3, 5, 2, 4, 3, 3, 2, 3, 4, 1, 2, 1, 1, 3, 4, 1, 1, 1, 1, 3, 2, 1, 1, 3, 3, 3, 5, 2, 3, 2, 2, 5, 1, 5, 2, 1, 1, 1, 4, 4, 2, 4, 5, 4, 1, 3, 2, 4, 2, 1, 1], "4428": [1, 4, 5, 3, 5, 2, 4, 5, 5, 4, 3, 5, 3, 3, 4, 5, 5, 3, 4, 5, 5, 5, 5, 2, 3, 3, 5, 4, 3, 1, 4, 4, 2, 5, 4, 5, 1, 5, 5, 5, 3, 3, 1, 1], "4347": [3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 2, 4, 3, 5, 5, 3, 5, 3, 3, 3, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 2, 3, 5, 3, 3, 4], "3981": [2, 3, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 5, 4, 3, 1, 3, 5, 3, 3, 5, 3, 1, 4, 4, 5, 5, 5, 2, 4, 4, 3, 3, 2, 2, 5, 4, 2, 4, 2, 5, 4, 3, 5, 2, 4, 5, 4, 4, 3, 3, 1, 4, 3, 1, 3, 3, 4, 2, 3, 1, 3, 2, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 2, 3, 4, 3, 5, 1, 4, 3, 5, 4, 2, 3, 3, 5, 5, 4, 5, 3, 4, 3, 3, 5, 1, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 1, 3, 3, 5], "1022": [2, 3, 5, 4, 4, 1, 5, 4, 4, 3, 2, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 1, 3, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 3, 3, 4, 5, 4, 3, 5, 5, 2, 5, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 2, 5, 3, 5, 5, 4, 4, 3, 5, 3, 2, 4, 5, 3, 3, 3, 1, 4, 5, 4, 5], "1231": [3, 4, 5, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 2, 3, 4, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5], "5038": [5, 4, 4, 3, 3, 4, 4, 2, 5, 5, 4, 3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 3, 5, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 3, 5, 3, 2, 5, 1, 5, 4, 4, 3, 4, 4, 3, 4, 4, 1, 5, 2, 4, 5, 4, 4, 1, 2, 2, 5, 4, 2, 4, 5, 5, 5, 4, 4, 3, 3, 4, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 2, 5, 5, 3, 5, 5, 5, 2, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 3, 3, 5], "1854": [4, 3, 2, 2, 2, 2, 3, 4, 3, 2, 4, 4, 4, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 2, 2, 3, 2, 3, 2, 4, 3, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 4, 3, 4, 4, 3, 4, 3, 5, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 4, 3, 1, 4, 2, 2, 2, 3, 3, 3, 2, 2, 2, 4, 2, 4, 2, 2, 3, 4, 4, 3, 3, 3, 2, 3, 2, 3, 4, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 4, 3, 4, 3, 3, 3, 4, 1, 2, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 3, 2, 3, 2, 4, 3, 4, 3, 3], "3610": [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 3, 4, 4, 1, 3, 1, 4, 4, 1, 1, 4, 1, 1, 4, 5, 1, 3, 4, 4, 2, 2, 3, 3, 1, 1, 1, 1, 1, 3, 1, 4, 2, 1, 1, 2, 1, 3, 4, 1, 1, 3, 4, 1, 1, 1, 2, 1, 3, 3, 1, 3, 1, 4, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 1, 1, 3, 1, 5, 5, 4, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 3, 4, 1, 1, 3, 1, 1, 3, 4, 1, 1, 5, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 5, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 3, 3, 3, 4, 1, 4, 1, 1, 1, 4, 4, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 4, 1, 5, 4, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 4, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 2, 3, 1, 3, 1, 4, 1, 4, 1, 1, 1, 1, 1, 5, 3, 4, 3, 4, 1, 1, 4, 2, 4, 3, 2, 1, 4, 4, 4, 3, 1, 1, 4, 1, 1, 2, 1, 1, 4, 1, 3, 3, 4, 1, 1, 3, 4, 1, 2, 2, 1, 4, 5, 1, 5, 2, 2, 1, 1, 3, 1, 2, 3, 2, 3, 2, 4, 4, 5, 1, 1, 1, 3, 1, 2, 3, 4, 3, 4, 2, 4, 5, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 3, 4, 3, 1, 1, 1, 3, 1, 3, 1, 4, 3, 1, 1, 1, 1, 3, 1, 2, 3, 1, 1, 1, 1, 5, 1, 1, 3, 1, 3, 2, 2, 1, 1, 1, 2, 4, 1, 5, 5, 1, 2, 5, 4, 5, 1, 3, 1, 3, 1, 1, 4, 3, 1, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 4, 1, 3, 4, 1, 1, 1, 1, 1, 1, 3, 4, 3, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 5, 5, 3, 3, 1, 4, 2, 1, 2, 3, 1, 1, 3, 5, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 3, 4, 1, 3, 2, 1, 4, 2, 4, 2, 4, 1, 4, 3, 5, 4, 5, 1, 1, 1, 1, 1, 5, 4, 4, 5, 2, 5, 3, 1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 3, 5, 1, 4, 2, 5, 4, 5, 5, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 4, 2, 1, 3, 4, 4, 1, 3, 2, 1, 1, 1, 1, 4, 4, 2, 3, 1, 5, 2, 2, 3, 4, 4, 1, 1, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 4, 2, 1, 1, 1], "3121": [4, 3, 3, 5, 3, 3, 5, 4, 5, 4, 3, 3, 3, 3, 4, 1, 2, 5, 2, 4, 4, 4, 3, 3, 4, 4, 2, 4, 5, 4, 3, 4, 3, 4, 2, 4, 3, 4, 2, 4, 3, 4, 1, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 1, 4, 3, 3, 5, 3, 5, 4, 3, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 3, 2, 3, 2, 4, 3, 4, 4, 3, 2, 5, 3, 4, 1, 3, 3, 4, 1, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 1, 1, 1, 3, 5, 4, 3, 4, 3, 1, 2, 4, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 2, 3, 2, 3, 1, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 2, 5, 4, 5, 3, 3, 4, 1, 1, 5, 3, 3, 3, 3, 5, 2, 3, 3, 5, 3, 2, 5, 3, 5, 3, 3, 5, 5, 4, 5, 3, 4], "293": [4, 2, 5, 1, 5, 1, 4, 4, 5, 3, 2, 2, 5, 1, 5, 5, 1, 4, 5, 4, 5, 3, 5, 4, 1, 3, 1, 3, 2, 4, 4, 1, 5, 1, 4, 5, 4, 4, 4, 4, 5, 4, 2, 4, 4, 5, 5, 5, 1, 5, 5, 5, 4, 4, 4, 3, 5, 1, 4, 2, 5, 5, 5, 1, 4, 5, 4, 3, 1, 1, 4, 2, 5, 1, 4, 5, 4, 1, 5, 3, 4, 5, 5, 5, 5, 5, 3, 1, 4, 5, 4, 3, 4, 4, 4, 2, 3, 4, 1, 5, 5, 4, 1, 3, 1, 1, 1, 4, 4, 1, 4, 3, 4, 5, 3, 4, 5, 3, 2, 3, 5, 3, 1, 3, 1, 4, 5, 1, 1, 3, 4, 1, 1, 5, 4, 3, 5, 3, 1, 3, 4, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 2, 4, 5, 3, 4, 4, 4, 5, 2, 1, 5, 4, 5, 5, 4, 1, 3, 5, 5, 4, 3, 1, 4, 3, 4, 1, 4, 5, 4, 2, 1, 1, 1, 1, 5, 3, 1, 1, 1, 5, 5, 4, 4, 1, 1, 1, 5, 5, 2, 1, 1, 1, 2, 4, 3, 5, 1, 1, 1, 1, 5, 4, 4, 1, 4, 4, 4, 3, 1, 4, 4, 1, 3, 5, 1, 4, 3, 4, 4, 1, 1, 4, 5, 5, 4, 4, 4, 1, 4, 5, 5, 4, 5, 5, 1, 4, 4, 5, 5, 5, 4], "314": [2, 5, 4, 4, 2, 3, 2, 4, 4, 5, 3, 1, 4, 1, 3, 3, 5, 5, 4, 3, 3, 5, 3, 5, 5, 4, 4, 4, 3, 2, 3, 1, 5, 5, 4, 4, 3, 4, 1, 4, 4, 5, 5, 3, 5, 3, 2, 4, 4, 5, 1, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 2, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 2, 4, 5, 3, 3, 5, 4, 5, 3, 2, 4, 4, 5, 3, 5, 2, 3, 3, 4, 3, 3, 4, 5, 5, 4, 4, 5, 3, 4, 3, 2, 5, 5, 3, 2, 4, 5, 5, 4, 4, 3, 5, 4, 3, 2, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 2, 5, 3, 4, 3, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 1, 3, 3, 5, 2, 4, 4, 4, 5, 3, 5, 4, 5, 2, 5, 4, 4, 2, 2, 4, 4, 3, 4, 1, 2, 1, 4, 4, 5, 4, 3, 5, 2, 5, 2, 1, 3, 4, 5, 4, 3, 5, 4, 4, 2, 4, 5, 4, 5, 2, 5, 2, 4, 4, 5, 4, 5, 4, 2, 5, 4, 5, 3, 5, 3, 5, 5, 2, 4, 5, 3, 1, 3, 5, 4, 5, 4, 5, 2, 3, 4, 2, 5, 4, 2, 4, 3, 5, 2, 5, 5, 5, 4, 5, 5, 3, 3, 5, 3, 2, 4, 3], "1389": [4, 3, 5, 1, 5, 3, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 1, 4, 4, 2, 4, 5, 5, 3, 3, 5, 5, 1, 5, 5, 5, 4, 5, 5, 5, 2, 3, 4, 3, 5, 5, 4, 5, 2, 3, 2, 3, 2, 4, 4, 1, 4, 4, 1, 5, 4, 1, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 5, 2, 1, 2, 3, 5, 1, 1, 3, 4, 4, 2, 1, 4, 4, 5, 5, 5, 1, 5, 4, 2, 3, 5, 5, 2, 5, 4, 3, 2, 4, 4, 4, 5, 2, 4, 2, 5, 1, 3, 2, 5, 1, 4, 5, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 2, 3, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 5, 4, 3, 2, 2, 4, 5, 4, 5, 3, 2, 5, 5, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 3, 2, 5, 4, 4, 3, 3, 3, 5, 5, 2, 3, 4, 2, 5, 4, 1, 3, 2, 1, 4, 4, 2, 5, 5, 2, 4, 4, 5, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 2, 5, 1, 4, 1, 4, 4, 5, 2, 5, 4, 4, 5, 3, 5, 4, 3, 5, 5, 5, 3, 5, 4, 3, 3, 4, 5, 5, 5, 1, 4, 4, 5, 4, 5, 5, 1, 4, 5, 4, 2, 5, 4, 4, 3, 5, 5, 5, 5, 4, 3, 5, 2, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 3, 1, 5, 4, 5, 1, 5, 2, 2, 5, 3, 5, 5, 5, 5, 5, 4, 5, 2, 2, 4, 5, 5, 4, 5, 3, 2, 5, 5, 4, 2, 5, 5], "4488": [2, 3, 4, 5, 3, 4, 3, 2, 2, 5, 3, 4, 3, 3, 4, 3, 3, 2, 2, 3, 2, 1, 4, 4, 3, 3, 3, 2, 2, 5, 4, 4, 1, 4, 2, 3, 4, 3, 3, 2, 1, 3, 3, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 2, 4, 3, 2, 2, 4, 2, 4, 2, 2, 3, 5, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 4, 2, 3, 1, 2, 1, 3, 2, 1, 4, 4, 4, 2, 1, 3, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 3, 3, 3, 4, 5, 3, 2, 2, 3, 2, 4, 3, 4, 2, 1, 2, 2, 3, 4, 1, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 4, 3, 3, 2, 4, 2, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 5, 3, 4, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 2, 4, 2, 4, 3, 4, 3, 4, 5, 4, 2, 2, 4, 3, 4, 3, 3, 2, 2, 1, 2, 2, 2, 3, 3, 3, 1, 4, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 4, 4, 3, 2, 3, 3, 1, 4, 2, 4, 3, 3, 2, 4, 2, 3, 2, 3, 4, 4, 4, 2, 2, 3, 2, 4, 3, 3, 2, 2, 5, 2, 1, 5, 3, 1, 3, 1, 1, 1, 5, 2, 5, 3, 3, 1, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 4, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 3, 3, 3, 5, 5, 4, 3, 1, 3, 2, 1, 3, 2, 1, 3, 2, 4, 2, 1, 1, 1, 3, 4, 3, 2, 3, 2], "5677": [3, 4, 5, 4, 4, 2, 5, 4, 5, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 3, 2, 4, 4, 1, 4, 4, 5, 2, 3, 4, 4, 4, 1, 3, 4, 5, 4, 3, 3, 2, 5, 5, 4, 4, 3, 3, 1, 3, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 1, 3, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 2, 1, 4, 3, 3, 3, 4, 5, 3, 5, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 5, 3, 2, 3, 2, 4, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 3, 3, 3, 5, 2, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 1, 4, 4, 4, 4], "5403": [2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 5, 4, 4, 3, 5, 3, 1, 4, 3, 3, 5, 5, 3, 3, 5, 4, 4, 4, 2, 4, 2, 4, 4, 5, 3, 2, 4, 3, 3, 4, 4, 2, 3, 4, 5, 4, 3, 3, 5, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 5, 5, 2, 2, 4, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 1, 1, 3, 3, 4, 4, 5, 1, 5, 5, 1, 2, 4, 3, 3], "5765": [3, 4, 4, 4, 4, 2, 3, 3, 3, 5, 3, 4, 4, 5, 4, 2, 2, 1, 3, 4, 1, 2, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 2, 3, 2, 3, 4, 3, 3, 4, 3, 5, 4, 4, 5, 1, 5, 2, 4, 4, 4, 3, 5, 5, 3, 3, 4, 3, 4, 3, 4, 2, 4, 4, 3, 2, 3, 2, 3, 3, 3, 4, 3, 3, 1, 4, 5, 4, 4, 4, 3, 4, 3, 5, 3, 5, 2, 2, 3, 3, 4, 3, 4, 3, 4, 2, 5, 4, 4, 3, 3, 5, 4, 5, 5, 3, 5, 5, 3, 2, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 3, 3, 4, 2, 4, 2, 4, 4, 3, 4, 4, 1, 5, 3, 3, 5, 2, 1, 1, 4, 3, 3, 2, 4, 1, 3, 3, 4, 4, 2, 3, 2, 4, 1, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 2, 2, 4, 3, 4, 4, 4, 3, 4, 2, 3, 5, 2, 1, 4, 5, 4, 2, 4, 3, 3, 2, 3, 4, 4, 5, 3, 5, 4, 3, 1], "2727": [3, 4, 4, 2, 4, 3, 3, 3, 5, 2, 5, 1, 4, 3, 3, 4, 3, 4, 5, 3, 3, 1, 5, 5, 3, 3, 4, 1, 3, 3, 4, 5, 4, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 5, 3, 3, 2, 3, 3, 4, 2, 3, 4, 4, 2, 4, 4, 5, 3, 2, 5, 1, 2, 3, 4, 4, 3, 2, 3, 3, 3, 4, 5, 5, 5, 5, 3, 5], "2834": [2, 5, 4, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5], "976": [5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 3, 3], "51": [4, 5, 4, 4, 3, 3, 3, 3, 4, 5, 2, 5, 3, 3, 4, 4], "2812": [3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 2, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 2, 2, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 1, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 5, 3, 3, 4, 4, 2, 4, 4, 3], "5700": [4, 3, 4, 3, 5, 2, 5, 3, 5, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 3, 2, 5, 3, 5, 4, 4, 5, 5], "2006": [2, 5, 3, 3, 3, 4, 4, 3, 2, 3, 5, 3, 5, 4, 3, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 5, 3, 3, 4, 3, 4, 2, 3, 5, 2, 5, 4, 3], "2616": [4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 2, 3, 3, 5, 3, 5, 4, 5, 3, 5, 4, 4, 2, 3, 4, 3, 4, 4, 5, 2], "2969": [3, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 5, 3, 4, 2, 5, 3, 4, 4, 3, 4, 4, 3, 4, 2, 4, 2, 4, 5, 3, 5, 4, 4, 3, 5, 2, 4, 3, 4, 5, 5, 5, 3, 3, 5, 3, 5, 4, 4, 3, 4, 4, 4, 3, 5, 2, 4, 3, 3, 1, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3], "203": [1, 1, 2, 5, 2, 4, 1, 2, 1, 4, 1, 2, 4, 3, 3, 2, 1, 3, 2, 1, 1, 2, 2, 2, 2, 2, 4, 3, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 3, 2, 4, 1, 1, 1, 1, 1, 4, 1, 1, 2, 2, 1, 4, 1, 4, 4, 3, 3, 5, 4, 2, 1, 1, 4, 1, 2, 1, 2, 2, 2, 3, 1, 1, 3, 3, 1, 2, 4, 5, 1, 5, 1, 3, 2, 2, 2], "3455": [5, 4, 4, 4, 2, 5, 4, 5, 5, 2, 5, 5, 4, 5, 4, 2, 5, 4, 3], "620": [4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 2, 5, 3, 5, 2, 3, 2, 3, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 2, 5, 2, 4, 5, 3, 4, 3, 3, 1, 2, 2, 3, 3, 5, 4, 3, 2, 2, 4, 3, 4, 1, 4, 3, 4, 5, 3, 2, 4, 4, 4, 3, 1, 2, 4, 4, 3, 4, 2, 4, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 2, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 5, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 5, 4, 3, 4, 5], "2252": [5, 3, 5, 2, 1, 3, 4, 5, 1, 2, 5, 5, 3, 4], "2705": [5, 5, 5, 5, 4, 2, 5, 4, 4, 5, 5, 5, 5, 1, 5, 5, 4, 3, 2, 5], "5746": [5, 4, 4, 4, 3, 3, 5, 2, 4, 4, 5, 3, 5, 4, 4, 2, 4, 4, 3, 2, 2, 4, 3, 2, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 5, 3, 3, 3, 3, 4, 2, 3, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 3], "1580": [3, 2, 3, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 5, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 2, 3, 2, 4], "3814": [2, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 4, 4, 4, 5, 5, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 1, 3, 5, 4, 5], "3142": [2, 1, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 3, 2, 3, 4, 5, 4, 5, 4, 4, 2, 5, 3, 4, 4, 4, 2, 5, 2, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 1, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5], "5890": [4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 3, 4, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 4, 2, 4, 3, 3, 5, 4, 2, 2, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 3, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 3, 5, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 2, 3, 2, 4, 4, 4, 4, 3, 4, 3, 2, 3, 1, 2, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 2, 3, 5, 5, 4, 4, 3, 2, 5, 3, 5, 4, 2, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 1, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 5, 2, 3, 2, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 3, 4, 1, 5, 4, 5, 4, 3, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 2, 5, 5, 5, 5, 3, 5, 4, 2, 5, 2, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4], "681": [5, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 5, 5, 5, 3, 3, 5, 5, 3], "5244": [4, 4, 3, 3, 2, 4, 4, 4, 5, 3, 2, 3, 5, 5, 4, 3, 5, 3, 5, 2, 4, 2, 4, 3], "1647": [4, 3, 2, 3, 2, 2, 3, 3, 5, 2, 4, 2, 3, 4, 4, 5, 4, 5, 5, 1, 4, 4, 4, 2, 3, 3, 4, 4, 2, 4, 4, 4, 5, 5, 4, 4, 3, 1, 4, 4, 4, 4, 5, 2, 4, 4, 3, 1, 3, 4, 5, 3, 4, 5, 4, 3, 2, 3, 4, 4, 4, 5, 2, 3, 3, 5, 2, 2, 3, 3, 2, 3, 5, 4, 4, 5, 3, 4, 1, 3, 4, 5, 1, 3, 5, 4, 2, 3, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 3, 2, 2, 4, 2, 4, 3, 5, 4, 5, 4, 3, 4, 1, 5, 2, 4, 2, 4, 2, 3, 3, 3, 3, 4, 2, 1, 4, 5, 2, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 4, 3, 4, 1, 5, 3, 4, 2, 3, 3, 1, 3, 4, 4, 2, 3, 4, 4, 3, 3, 2, 1, 1, 4, 2, 4, 4, 3, 3, 2, 2, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 2, 2, 1, 4, 2, 4, 1, 4, 1, 2, 2, 3, 2, 3, 3, 4, 1, 1, 4, 3, 5, 2, 4, 1, 4, 4, 3, 5, 3, 5, 2, 3, 3, 2, 2, 3, 4, 3, 1, 4, 5, 2, 3, 4, 3, 3, 5, 1, 4, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 2, 4, 4, 4, 2, 4, 2, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 5, 5, 4, 3, 3, 5, 2, 2, 3, 3, 3, 3, 3, 2, 4, 3, 3, 1, 4, 2, 3, 4, 4, 2, 2, 2, 2, 3, 3, 4, 2, 4, 2, 4, 2, 2, 3, 3, 5, 4, 3, 4, 5, 3, 2, 4, 4, 5, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 5, 1, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 1, 3, 3, 3, 5, 4, 3, 2, 4, 2, 3, 3, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 1, 3, 3, 1, 4, 3, 1, 2, 3, 4, 3, 3, 4, 5, 3, 4, 4, 2, 5, 3, 3, 5, 3, 4, 4, 1, 4, 4, 4, 4, 2, 3, 5, 3, 2, 4, 4, 3, 2, 4, 4, 5, 4, 3, 3, 3, 3, 3, 2, 1, 3, 4, 2, 2, 4, 3, 3, 2, 3, 4, 4, 2, 3, 2, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 2, 1, 3, 5, 4, 1, 3, 3, 3, 3, 5, 4, 3, 3, 2, 3, 3, 3, 5, 1, 3, 3, 3, 4, 4, 4, 5, 4, 3, 3, 4, 3, 2, 2, 4, 3, 4, 3, 1, 4, 3, 3, 3, 3, 4, 1, 4, 5, 3, 4, 4, 4, 5, 2, 1, 2, 4, 4, 5, 2, 2, 1, 3, 4, 3, 4, 1, 3, 3, 3, 2, 2, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 3, 3, 5, 2, 4, 3, 5, 5, 3, 5, 4, 4, 2, 4, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 5, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 5, 3, 3, 1, 4, 2, 3, 2, 3, 2, 4, 2, 3, 4, 2, 2, 4, 2, 3, 4, 2, 2, 2, 4, 2, 1, 5, 2, 3, 5, 1, 4, 3, 4, 4, 4, 4, 2, 2, 1, 3, 1, 4, 4, 2, 2, 2, 4, 4, 5, 3, 3, 1, 3, 1, 1, 3, 4, 3, 2, 3, 1, 5, 4, 1, 2, 3, 3, 3, 5, 3, 4, 2, 3, 5, 3, 5, 2, 3, 3, 5, 3, 4, 4, 4, 2, 1, 2, 3, 4, 3, 4, 3, 3, 5, 2, 4, 3, 3, 2, 5, 4, 4, 4, 5, 5, 5, 4, 2, 2, 4, 2, 3, 4, 4, 3, 3, 4, 3, 5, 1, 3, 4, 4, 4, 3, 3, 3, 5, 2, 1, 4, 2, 3, 3, 2, 4, 3, 2, 2, 4, 3, 3, 3, 5, 3, 1, 3, 4, 2, 4, 3, 4], "5131": [5, 3, 4, 4, 4, 5, 2, 2, 3, 3, 3, 4, 4, 5, 5, 1, 1, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 2, 4, 2, 3, 4, 4, 2, 3, 3, 1, 4, 4, 4, 3, 3, 1, 2, 5, 3, 2, 5, 3, 3, 3, 2, 4, 4, 3, 5, 2, 4, 5, 5, 1, 4, 3, 1, 4, 4, 3, 2, 4, 1, 3, 5, 3, 3, 4, 3, 4, 5, 5, 5, 5, 4, 2, 5, 4, 3, 2, 4, 4, 4, 2, 3, 3, 4, 3, 2, 3, 4, 2, 4, 1, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 3, 4, 5, 3, 3, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 1, 2, 3, 3, 3, 3, 4, 2, 4, 4, 4, 1, 5, 4, 1, 4, 5, 5, 4, 4, 4, 3, 5, 4, 2, 5, 5, 2, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 1, 4, 4, 3, 4, 3, 3, 4, 3, 1, 4, 1, 4, 3, 4, 2, 4, 4, 3, 3, 4, 3, 5, 2, 3, 4, 3, 4, 2, 4, 1, 2, 2, 4, 1, 2, 1, 2, 4, 5, 5, 2, 4, 3, 2, 1, 4, 4, 5, 2, 4, 3, 1, 2, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 2, 5, 5, 4, 3, 5, 3, 3, 2, 4, 4, 5, 3, 5, 4, 2, 3, 5, 1, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 1, 3, 3, 5, 3, 4, 5, 3, 3, 5, 5, 5, 3, 4, 3, 5, 4, 4, 3, 3, 5], "1092": [5, 4, 4, 5, 4, 4, 5, 4, 4, 1, 4, 5, 5, 5, 5, 3, 1, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 2, 5], "2274": [3, 3, 4, 4, 4, 3, 5, 2, 5, 3, 4, 5, 4, 1, 5, 4, 1, 5, 4, 4, 5, 3, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3], "634": [3, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 3, 5, 4, 3, 5, 5, 3, 4, 4, 1, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 3, 3, 4, 5, 5, 5, 5, 2, 4, 4, 4, 3, 5], "153": [5, 2, 4, 1, 5, 5, 2, 4, 3, 5, 2], "1640": [5, 3, 4, 2, 1, 1, 3, 2, 3, 2, 4, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 4, 3, 4, 1, 2, 1, 5, 4, 1, 2, 2, 2, 1, 4, 3, 2, 2, 3, 3, 4, 5, 2, 2, 3, 2, 2, 2, 1, 1, 4, 3, 3, 2, 2, 3, 2, 2, 4, 2, 4, 2, 2, 3, 2, 2, 3, 3, 2], "2671": [4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 4, 2, 3, 3, 1, 1, 3], "2083": [4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 5, 3, 1, 5, 5, 5, 5, 4, 5, 5, 5], "4545": [5, 5, 3, 4, 2, 5, 4, 2, 5, 4, 3, 5, 5, 4], "4132": [5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 2, 3, 5, 2, 4, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 3, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 3, 5, 4], "3656": [3, 4, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 4, 2, 3, 3, 2, 4, 2, 3, 5, 3, 3, 4, 2, 4, 3, 2, 2, 3, 4, 5, 2, 3, 3, 4, 1, 4, 3, 4, 2, 4, 4, 2, 5, 4, 2], "3591": [5, 4, 4, 5, 4, 3, 3, 5, 4, 4, 2, 3, 2, 5, 1, 5, 4, 5, 3, 2, 4, 5, 4, 2, 5, 2, 1, 5, 4, 3, 2, 5, 5, 5, 5, 1, 4, 4, 5, 4, 3, 5, 5, 3, 4, 4, 4, 4, 1, 4, 5, 5, 5, 4, 3, 3, 2, 5, 3, 2, 5, 3, 3, 4, 3, 4, 5, 5, 3, 4, 5, 5, 4, 1, 4, 2, 5, 4, 5, 5, 5, 4, 5, 3, 2, 3, 3, 4, 4, 4, 5, 3, 3, 5, 4, 2, 5, 4, 3, 4, 5, 4, 4, 3, 2, 4, 4, 2, 3, 3, 2, 1, 4, 4, 5, 3, 3, 3, 3, 3, 3, 2, 5, 4, 3, 2, 3, 4, 3, 5, 4, 5, 5, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4], "434": [5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 5, 2, 4, 5, 4, 5, 3, 4, 3, 5, 3, 5, 3, 3, 3, 5, 4, 4, 5, 5, 4, 5], "2394": [5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 2, 3, 4, 5, 1, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 2, 2, 4, 3, 4, 5, 4, 5, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4], "3791": [3, 5, 3, 2, 2, 3, 5, 3, 3, 3, 3, 3, 4, 5, 4, 2, 2, 4, 3, 2, 4, 4, 4, 2, 2, 3, 3, 3, 3, 2, 5, 5, 4, 3, 4, 5, 4, 1, 4, 4, 2, 5, 2, 3, 3, 3, 3, 5, 2, 2, 2, 2, 5, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 5, 5, 5, 3, 3, 1, 4, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 2, 5, 2, 5, 3, 3, 4, 4], "3196": [4, 3, 3, 1, 2, 4, 5, 4, 4, 3, 3, 4, 3, 1, 5, 5, 3, 3, 4, 3, 3, 5, 1, 4, 3, 3, 4, 3, 5, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 3, 4, 1, 4, 3, 4, 5, 3, 2, 3, 3, 1, 2, 3, 3, 2, 2, 4, 3, 1, 5, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 1, 4, 2, 3, 2, 2, 2, 5, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 5, 5, 3, 3, 5, 4, 4, 5, 3, 3, 1, 4, 4, 3, 5, 1, 3, 3, 4, 2, 4, 1, 4, 1, 4, 3, 1, 4, 1, 3, 2, 3, 4, 3, 3, 5, 4, 3, 3, 3, 4, 2, 5, 5, 5, 2, 2, 4, 3, 3, 3, 3, 4, 1, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 2, 2, 3, 3, 2, 3, 4, 5, 3, 2, 4, 1, 2, 3, 4, 4, 4, 3, 4, 3, 5, 4, 5, 3, 4, 3, 3, 4, 3, 1, 3, 5, 4, 1, 3, 2, 4, 1, 3, 2, 2, 2, 3, 3, 2, 1, 2, 4, 2, 4, 4, 5, 3, 3, 3, 3, 3, 5, 3, 1, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5], "853": [5, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4], "2038": [5, 4, 3, 4, 3, 5, 4, 5, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 4, 2, 5, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 2, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 2, 5, 4, 4, 4, 5, 4, 5, 4, 2, 5, 4, 4, 4, 5, 3, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 2, 2, 3, 3, 2, 2, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 5, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 5, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 2, 3, 4, 4, 3, 2, 4, 3, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 2, 2, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 2, 4, 5, 4, 4, 2, 3, 4, 5, 3, 5, 3, 5, 3, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 5, 3, 2, 4, 4, 5, 3, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 2, 4, 5, 4, 3, 5, 4, 4, 2, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 4, 2, 2, 3, 4, 4, 3, 5, 4, 4], "5650": [3, 2, 5, 4, 4, 1, 3, 3, 3, 1, 4, 3, 2, 2, 5, 3, 2, 3, 1, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 2, 4, 3, 5, 3, 2, 2, 3, 5, 1, 4, 4, 1, 4, 4, 3, 3, 4, 4, 1, 3, 3, 5, 4, 3, 3, 2, 3, 2, 4, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 2, 3, 2, 1, 4, 1, 2, 5, 3, 2, 4, 2, 2, 3, 3, 4, 1, 2, 2, 3, 1, 4, 3, 4, 2, 5, 3, 2, 4, 3, 1, 4, 3, 1, 2, 3, 3, 3, 4, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 5, 1, 4, 2, 3, 3, 2, 3, 2, 1, 2, 4, 2, 1, 4, 1, 4, 1, 4, 4, 3, 3, 3, 3, 1, 3, 4, 3, 5, 5, 3, 2, 5, 2, 4, 1, 3, 2, 4, 4, 4, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 4, 1, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 4, 5, 2, 1, 1, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 5, 2, 1, 4, 4, 4, 3, 1, 2, 2, 5, 5, 5, 3, 5, 2, 1, 3, 3, 1, 5, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 5, 4, 2, 2, 5, 3, 3, 1, 4, 3, 2, 3, 4, 3, 4, 1, 2, 2, 5, 3, 2, 5, 5, 3, 5, 3, 3, 4], "1189": [3, 3, 4, 5, 4, 3, 4, 2, 4, 5, 3, 5, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3], "3507": [4, 5, 1, 2, 5, 2, 2, 5, 5, 4, 4, 2, 5, 1, 5, 4, 4, 4, 3, 4, 1, 4, 5, 3, 4, 4, 5, 1, 4, 5, 5, 4, 4, 4, 3, 5, 3, 5, 3, 4, 3, 5, 2, 5, 2, 3, 5, 4, 3, 3, 4, 4, 4, 5, 3, 4, 1, 4, 5, 4, 4, 1, 5, 5, 4, 5, 1, 3, 3, 2, 1, 4, 3, 3, 4, 4, 5, 5, 4, 1, 4, 5, 5, 4, 5, 1, 1, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 1, 1, 4, 4, 2, 3, 5, 5, 1, 2, 4, 2, 3, 2, 5, 4, 2, 2, 4, 2, 2, 4, 4, 3, 2, 5, 3, 4, 4, 1, 4, 3, 5, 3, 1, 2, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 5, 2, 3, 5, 2, 1, 4, 4, 1, 4, 2, 2, 4, 3, 2, 5, 5, 4, 2, 5, 4, 4, 3, 3, 4, 4, 4, 2, 2, 4, 3, 3, 1, 3, 5, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 2, 2, 4, 5, 2, 1, 5, 1, 4, 1, 3, 2, 2, 4, 3, 3, 3, 2, 4, 1, 2, 3, 1, 3, 3, 4, 3, 3, 2, 4, 4, 3, 1, 2, 3, 3, 4, 4, 5, 1, 2, 4, 3, 4, 4, 2, 4, 2, 4, 4, 5, 3, 2, 2, 5, 2, 5, 4, 2, 4, 5, 3, 4, 1, 4, 1, 1, 5, 5, 1, 3, 5, 1, 4, 2, 3, 1, 1, 1, 5, 1, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 5, 5, 3, 2, 1, 2, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 2, 4, 3, 2, 2, 2, 5, 4, 4, 1, 4, 3, 2, 5, 2, 5, 4, 5, 2, 5, 5, 4, 2, 2, 1, 1, 3, 4, 2, 3, 4, 4, 5, 2, 2, 4, 4, 4, 5, 4, 5, 5, 1, 4, 2, 3, 4, 1, 1, 4, 4, 3, 4, 5, 3, 4, 3, 3, 4, 1, 3, 1, 3, 3, 2, 4, 2, 3, 2, 3, 3, 5, 3, 4, 2, 4, 3, 4, 2, 5, 4, 3, 5, 2, 4, 5, 3, 2, 3, 3, 4, 4, 2, 5, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 3, 4, 2, 2, 3, 1, 2, 1, 2, 4, 4, 5, 5, 1, 5, 4, 1, 4, 2, 2, 3, 5, 3, 4, 4, 5, 4, 2, 5, 5, 5, 2, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 2, 2, 1, 5, 1, 1, 1, 5, 4, 2, 5, 4, 1, 3, 2, 2, 3, 4, 4, 3, 2, 4, 4, 1, 3, 1, 5, 3, 3, 2, 4, 3, 1, 1, 2, 5, 5, 5, 4, 4, 2, 1, 3, 5, 4, 5, 2, 2, 3, 5, 3, 2, 2, 5, 1, 2, 2, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 1, 2, 5, 2, 4, 5, 3, 3, 2, 3, 4, 2, 3, 3, 4, 5, 3, 3, 2, 2, 5, 3, 3, 2, 2, 5, 5, 1, 5, 2, 2, 1, 4, 5, 4, 5, 5, 4, 1, 3, 4, 4, 2, 5, 4, 5, 4, 4, 2, 4, 5, 3, 4, 4, 2, 4, 4, 1, 1, 4, 5, 4, 1, 4, 4, 3, 1, 2, 4, 3, 2, 5, 3, 3, 2, 3, 2, 5, 3, 5, 5, 4, 4, 2, 3, 4, 5, 2, 5, 4, 3, 4, 2, 3, 2, 4, 2, 3, 4, 3, 4, 5, 2, 1, 1, 1, 5, 3, 3, 2, 3, 3, 4, 5, 3, 4, 2, 4, 2, 3, 4, 2, 4, 2, 5, 5, 3, 2, 1, 4, 4, 1, 3, 3, 5, 3, 3, 4, 4, 2, 3, 1, 5, 2, 3, 2, 3, 1, 4, 5, 4, 3, 2, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 1, 1, 4, 3, 4, 2, 2, 1, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 1, 5, 2, 3, 4, 1, 5, 2, 1, 1, 4, 4, 3, 5, 3, 4, 1, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 3, 4, 5, 5, 4, 3, 2, 3, 4, 5, 3, 4, 4, 4, 5, 4, 2, 4, 4, 2, 3, 5, 4, 4, 5, 5, 1, 3, 4, 5, 4, 4, 1, 5], "1807": [1, 4, 5, 4, 5, 3, 2, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 4, 5, 5, 4, 3, 4, 5, 2, 5, 4, 4, 3, 2, 1, 3, 4, 2, 4, 3, 4, 3, 3, 3, 2, 5, 4, 4, 2, 3, 1, 5, 5, 5, 2, 4, 3, 5, 5, 5, 4, 2, 5, 5, 3, 3, 4, 4, 3, 3, 5, 4, 3, 4, 1, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 1, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 2, 2, 5, 4, 3, 3, 3, 4, 4, 5, 2, 3, 3, 5, 3, 3, 3, 5, 2, 4, 3, 4, 4, 2, 2, 4, 2, 4, 2, 4, 5, 2, 4, 4, 2, 4, 2, 3, 2, 5, 5, 4, 3, 5, 4, 5, 3, 3, 2, 2, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 1], "3366": [3, 5, 1, 5, 2, 4, 5, 5, 4, 2, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 3], "4570": [4, 3, 2, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3], "3696": [3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 5, 3, 5, 4, 3, 2, 5, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 5, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 3, 3, 5, 3, 4, 5, 4, 4, 4, 4, 1, 5, 5, 3, 4, 4, 3, 3, 4, 5, 2, 4, 3, 2, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 5, 4, 5, 4], "1645": [4, 4, 5, 5, 5, 3, 3, 5, 4, 5, 2, 4, 2, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 3, 5, 3, 4, 5, 5, 4, 5, 5, 1, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 1, 1, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 2, 5, 5, 4, 4, 3, 3, 5, 5, 5, 3, 5, 3, 4, 1, 4, 4, 3, 5, 3, 3, 4, 4, 3, 5, 2, 4, 5, 3, 3, 5, 4, 5, 3, 5, 4, 4, 4, 1, 5, 4, 5, 1, 5, 3, 5, 5, 4, 5, 4, 1, 2, 4, 5, 4, 5, 5, 1, 5, 2, 4, 4, 3, 4, 1, 5, 5, 5, 3, 4, 4, 5, 2, 2, 5, 4, 5, 2, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 3, 3, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 5, 5, 2, 5, 4, 2, 4, 2, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 2, 4, 5, 4, 5, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 2, 3, 3, 4, 3, 5, 3, 5, 4, 5, 2, 4, 4, 4, 5, 5, 3, 4, 3, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 3, 4, 5, 3, 4, 5, 4, 5, 3, 4, 1, 4, 4, 4, 5, 4, 5, 5, 4, 5, 1, 5, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 2, 5, 2, 5, 5, 4, 1, 5, 2, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 2, 3, 1, 4, 4, 3, 4, 4, 3, 3, 1, 4, 5, 5, 5, 5, 1, 3, 5, 3, 4, 4, 5, 5, 2, 3, 3, 5, 3, 4, 4, 5, 5, 1, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5], "4994": [4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 4, 5, 3, 5, 5, 5, 4, 4, 5, 2, 4, 4, 5, 4, 3, 5, 5, 3, 3, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 2, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5], "880": [3, 3, 2, 5, 5, 3, 3, 4, 3, 4, 4, 5, 3, 5, 2, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 1, 1, 5, 2, 5, 3, 3, 3, 5, 5, 5, 4, 3, 2, 5, 4, 4, 5, 3, 3, 4, 1, 2, 1, 1, 5, 5, 1, 3, 1, 1, 3, 1, 2, 3, 5, 4, 2, 3, 2, 5, 3, 4, 2, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 3, 2], "2600": [1, 2, 4, 3, 4, 3, 4, 4, 5, 2, 3, 1, 1, 1, 1, 3, 5, 4, 4, 1, 3, 2, 3, 2, 2, 4, 4, 3, 2, 3, 3, 5, 4, 5, 1, 1, 1, 1, 4, 3, 4, 2, 3, 5, 1, 4, 1, 1, 1, 3, 4, 5, 4, 3, 4, 3, 4, 5, 2, 5, 2, 3, 4, 2], "43": [5, 4, 3, 5, 4, 4, 5], "4818": [4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 5, 3, 4, 2, 3, 4, 5, 5, 3, 5, 4, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 3, 5, 3, 3, 3, 5], "4978": [2, 3, 5, 5, 5, 5, 4, 4, 4, 5, 3, 2, 4, 3, 4, 5, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 1, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 5, 3, 5, 3, 3, 5, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 5, 3, 4], "3538": [4, 5, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 2, 4, 2, 4, 4, 2, 2, 3, 4, 4, 3, 5, 5, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 3, 3, 3, 4, 2, 5, 3, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 1, 4, 4, 2, 3, 5, 5, 2, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 1, 4, 4, 1, 4, 4, 4, 3, 5, 4, 2, 4, 5, 4, 4, 2], "5694": [4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3], "1362": [4, 4, 2, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 5, 3, 2, 4, 4, 5, 3, 4, 3, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 1, 3, 3, 3, 2, 5, 2, 3, 4, 3, 3, 4, 4, 2, 3, 5, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 1, 4, 4, 4, 3, 3, 2, 3, 1, 3, 3, 4, 5, 2, 5, 3, 2, 3, 2, 2, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 4, 3, 2, 2, 4, 4, 2, 3, 3, 2, 4, 2, 4, 2, 3, 3, 5, 5, 5, 2, 4, 4, 3, 2, 3, 4, 5, 2, 4, 5, 3, 4, 2], "4848": [4, 4, 4, 1, 4, 4, 5, 4, 2, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 2, 5, 5, 3, 5, 5, 3, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5, 2, 4, 4, 4, 5, 5, 5, 5], "2736": [3, 3, 4, 4, 3, 4, 1, 4, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 3, 1, 3, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 2, 4, 4, 4, 4, 1, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 2, 3, 5, 4, 2, 4], "5127": [5, 4, 5, 4, 5, 3, 3, 3, 3, 4, 4, 5, 4, 1, 4, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 1, 5, 3, 4, 1, 4, 3, 3, 2, 2, 1, 4, 3, 3, 4, 2, 1, 3], "769": [5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 1, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 3, 5, 3, 3, 4, 4], "3587": [4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 1, 5, 4, 4, 5, 4, 4, 5, 1, 5], "5330": [4, 2, 4, 4, 3, 3, 3, 4, 3, 2, 4, 5, 4, 3, 3, 1, 4, 4, 3, 3, 2, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 2, 4, 3, 5, 1, 3, 3, 3, 5, 4, 2, 4, 2, 4, 3], "2346": [4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 2, 3, 3, 4, 5, 4, 2, 5, 3, 1, 4, 4, 5, 2, 3, 4, 4, 5, 5, 3, 3, 2, 3, 5, 3, 3, 4, 3, 4, 5, 4, 2, 2, 3, 5, 5, 3, 2], "1529": [3, 5, 4, 4, 4, 5, 1, 5, 4, 3, 3, 3, 4, 4, 3, 5, 5, 4, 5, 3, 5, 4, 4, 4], "1485": [4, 5, 3, 3, 3, 3, 2, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 5, 4, 1, 5], "5566": [3, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 1, 5, 4, 3, 4, 4, 5, 2, 5, 3, 2, 4, 4, 4, 5, 1, 5, 4, 2, 5, 4, 3, 5, 3, 3, 5, 2, 5, 3, 3, 4, 3, 4, 4, 3, 4, 2, 5, 4, 5, 5, 5, 3, 5, 4, 2, 5, 5, 2, 5, 5, 5, 5, 2, 5, 4, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 2, 3, 4, 4, 5, 5, 2, 2, 2, 3, 3, 3, 5, 3, 5, 4, 4, 3, 5, 2, 4, 4, 4, 5, 3, 5, 3, 3], "4657": [4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 2, 5, 4, 4, 3, 5, 4, 3, 5, 4, 4], "1558": [5, 5, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 4, 4], "1890": [4, 3, 2, 4, 5, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 1, 2, 1, 4, 4, 2, 4, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 2, 4, 5, 5, 3, 3, 5, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 5, 5, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 2, 3, 4, 3, 5, 3, 4, 4, 3, 3, 4, 3, 4, 2, 3, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 2, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 2, 5, 3, 3, 5, 2, 4, 3, 3, 2, 3, 2, 1, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 1, 5, 3, 2, 2, 5, 3, 3, 3, 2, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 2, 3], "108": [4, 3, 5, 4, 4, 3, 2, 1, 5, 3, 1, 4, 3, 2, 1, 2, 1, 4, 3, 3, 3, 3, 5, 1, 4, 2, 3, 4], "895": [5, 5, 3, 5, 4, 5, 5, 4, 4, 2, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 2, 4], "3057": [4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 3, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 3, 5, 5, 2, 5, 5, 3, 3, 5, 5, 5, 2, 3, 1, 3, 4, 5, 5, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 2, 3, 4, 5, 2, 2, 3, 3, 3, 1, 3, 5, 4, 3, 4, 3, 3, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 3, 3, 1, 4], "4617": [4, 4, 5, 3, 3, 4, 3, 2, 3, 4, 2, 2, 5, 3, 2, 4, 4, 2, 3, 3, 5, 4, 2, 3, 4, 4, 3, 4, 3, 3, 3, 5, 3, 1, 1, 3, 4, 3, 3, 3, 3, 1, 3, 4, 3, 1, 4, 3, 5, 3, 3, 5, 1, 4, 3], "1424": [2, 5, 4, 4, 4, 4, 3, 4, 3, 3, 2, 2, 3, 2, 5, 1, 4, 2, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 5, 5, 4, 3, 2], "3279": [3, 3, 5, 3, 3, 3, 4, 3, 3, 2, 2, 5, 3, 2, 4, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 5, 4, 2, 3, 2, 2, 2, 3, 5, 3, 3, 3, 2, 2, 3, 3, 5, 2, 2, 3, 4, 3, 2, 4, 1, 3, 2, 3, 5, 3, 2, 2, 2, 4, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 5, 1, 5, 2, 2, 2, 3, 5], "5681": [1, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 2, 3, 3, 3], "2296": [5, 3, 3, 2, 4, 1, 2, 4, 3, 5, 2, 1, 1, 4, 5, 4, 4, 4], "1079": [4, 5, 4, 4, 2, 5, 5, 5, 5, 2, 4, 3, 2, 5, 5, 1, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 5, 4, 5, 5, 4, 4, 3, 5, 2, 1, 1, 2, 4, 4, 5, 3, 4, 2, 5, 3, 5, 1, 4, 5, 4, 2, 4, 5, 5, 4, 2, 3, 5, 4, 4, 4, 3, 1, 5, 4, 4, 4, 3, 3, 5, 1, 4, 5, 5, 5, 5], "749": [2, 4, 3, 3, 5, 2, 4, 5, 3, 4, 5, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 5, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 3, 4, 4, 3, 5, 4, 5, 2, 3, 3, 3, 4, 3, 2, 5, 5, 2, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 2, 5, 2, 3, 3, 4, 2, 2, 4, 2, 3, 3, 4, 3, 5, 4, 4, 3, 3, 2, 3, 3, 4, 3, 2, 4, 4, 5, 3, 2, 2, 1, 4, 4, 4, 3, 3, 4, 3, 4, 2, 2, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 2, 4, 3, 3, 1, 3, 2, 4, 5, 3, 4, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 2, 4, 2, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 3, 2, 3, 3, 2, 4, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 2, 1, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 3, 3, 3, 2, 4, 3, 3, 5, 3, 5, 4, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 2, 5, 2, 2, 1, 3, 1, 3, 4, 4, 4, 3, 3, 3, 4, 2, 3, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 5, 2, 3, 4, 3, 4, 3, 2, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 5, 3, 4, 5, 4, 2, 5, 5, 4, 2, 3, 4, 4, 5, 3, 3, 5, 1, 3, 1, 1, 2, 5, 3, 4, 2, 2, 3, 5, 2, 3, 3, 3, 2, 3], "2165": [4, 5, 5, 3, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 2, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 5, 3, 3, 5, 4, 4, 4, 4, 4, 3, 1, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 2, 4, 4, 3, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 5, 3, 4, 5, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 3, 5, 2, 5, 5, 5, 5, 4], "2120": [4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 1, 5, 2, 2, 3, 3, 3, 3, 5, 3, 4, 4, 3, 5, 3, 5, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 1, 5, 2, 3, 3, 4, 3, 3, 5, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 2, 3, 4, 2, 3, 4, 4, 5, 3, 3, 4, 5, 3, 3, 3, 2, 5, 4, 4, 2, 3, 5, 3, 4, 3, 1, 3, 2, 3, 3, 5, 5, 3, 5, 4, 4, 3, 3], "686": [4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 3, 5, 4, 2, 2, 5, 5], "5745": [5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 2, 5, 5, 5, 4, 5, 1, 3, 4, 4, 4, 2, 3, 3, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 3, 5, 4, 3, 5, 3, 4, 3, 4, 4], "1459": [5, 5, 5, 5, 2, 2, 2, 1, 4, 4, 5, 5], "2001": [2, 4, 5, 4, 4, 4, 2, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 5, 5, 4, 3], "2722": [3, 4, 2, 1, 3, 5, 3, 2, 4, 5, 1, 4, 3, 2, 3, 4, 4, 5], "5951": [4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 2, 4, 5, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 2, 3, 1, 3, 5, 3, 5, 3, 3, 5, 3, 4, 4, 5, 5, 5], "2959": [3, 4, 3, 5, 4, 1, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 2, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4], "2404": [5, 5, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 2, 5, 5, 4, 5, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 2, 5, 5, 4, 3, 3, 5, 3, 3, 4, 4, 1, 4, 3, 5, 3, 5, 5, 3, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4], "5551": [2, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 2, 2, 4, 5, 2, 1, 4, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 1, 1, 4, 3, 4, 5, 3, 2, 4, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3], "4243": [4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3], "5865": [3, 1, 3, 4, 4, 4, 3, 5, 3, 3, 3, 5, 5, 4, 5, 3, 4, 1, 2, 4, 2, 2, 2, 3, 3, 2, 2, 4, 2, 5, 3, 3, 4, 3, 3, 2, 5, 3, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 1, 2, 2, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 2, 2, 3, 4, 2, 4, 5, 3, 3, 4, 4, 3, 5, 2], "1910": [5, 4, 3, 4, 3, 5, 2, 1, 4, 4, 5, 4, 1], "2436": [4, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 2, 1, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 2, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 3, 4, 4, 3, 5, 4, 3, 3, 2, 4, 3, 3, 3, 4, 3, 4, 4, 2, 3, 4, 4, 5, 2, 3, 3, 4, 4, 3, 2, 5, 3, 2, 2, 4, 2, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 5, 2, 3, 2, 3, 2, 4, 2, 2, 3, 4, 4, 4, 2, 3, 4, 4, 2, 4, 2, 4, 5, 5, 3, 4, 5, 2, 4, 2, 5, 4, 5, 2, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 2, 4, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 1, 1, 3, 4, 3, 5, 5, 5, 4, 1, 3, 3, 3, 4, 5, 1, 4, 5, 5, 3, 1, 4, 4, 3, 4, 2, 4, 5, 5, 2, 3, 5, 2, 4, 4, 4, 5, 3, 4, 2, 4, 3, 3, 3, 3, 4, 5, 3, 5, 3, 2, 3, 5, 2, 4, 5, 3, 4, 4, 5, 3, 3, 2, 3, 4, 4, 2, 5, 2, 3, 2, 2, 4, 5, 4, 4, 3, 4, 5, 2, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 1, 5, 5, 3, 3, 4, 2, 2, 4, 5, 2, 4, 3, 4, 4, 4, 3, 5, 2, 4, 3, 4, 4, 5, 4, 5, 3, 3, 3, 3, 2, 5, 5, 5, 2, 4, 3, 2, 2, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 1, 4, 4, 3, 4, 4, 4, 5, 4, 4, 1, 4, 3], "4765": [5, 4, 3, 5, 4, 5, 5, 3, 5, 2, 4, 5, 5, 4, 4, 2, 2, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 5, 5, 3, 4, 4, 5, 1, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 1, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 1, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 5, 4, 4, 5, 3, 3, 4, 2, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 1, 5, 2, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 5, 2, 3, 1, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4], "234": [5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 1, 4, 3, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4], "2492": [3, 3, 5, 3, 3, 2, 1, 4, 5, 3, 5, 5, 3, 4, 5, 2, 5, 3, 3, 5, 4, 4, 4, 1, 1, 5, 5, 2, 3, 4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5, 3, 5, 2, 3, 3, 4, 3, 3, 5, 5, 3, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5, 3, 3, 4, 3, 2, 4, 3, 3, 4, 5, 3, 2, 5], "5654": [4, 4, 3, 4, 5, 2, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 2, 2, 4, 5, 4, 2, 4, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 2, 5, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3], "1876": [4, 5, 2, 3, 5, 5, 1, 1, 5, 4, 5, 3, 4], "347": [4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 1, 5, 3, 2, 1, 4, 4, 5, 5, 5, 4, 5, 4, 1, 1, 2, 3, 3, 5, 3, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 5, 1, 4, 5, 5, 3, 5, 5, 4, 2, 5, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4], "837": [3, 3, 4, 3, 3, 2, 4, 1, 3, 3, 3, 5, 4, 3, 3, 3, 2, 2, 3, 5, 4, 2, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 5, 3, 4, 2, 3], "5482": [1, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 5, 3, 3, 5, 4, 4, 5, 5, 3, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 2, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 2, 4, 2, 4, 4, 2, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 5, 5, 3, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 3, 2, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 4, 4, 1, 3, 1, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 1, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 1, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4], "3595": [4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 5], "3702": [4, 3, 4, 4, 5, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 5, 2, 2, 5, 5, 3, 5, 3, 4, 5, 3, 3, 5, 2, 3], "2078": [3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 3, 2, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 4, 5, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 5, 4, 3, 4, 2, 4, 3, 2, 3, 5, 3, 5, 5, 4, 3, 5, 5, 4, 3, 3, 4], "4069": [2, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 1, 5, 2, 4, 3, 3, 4, 5, 4, 4, 5], "3449": [4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 2, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 2, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 3, 4, 2, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], "1540": [5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 1, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4], "5516": [5, 4, 4, 4, 2, 5, 5, 5, 5, 2, 5, 4, 4, 4, 5, 2, 4, 4, 5, 5, 5, 4, 3, 1, 4, 3, 5, 4, 5, 5, 3, 4, 5, 2, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 1, 5, 3, 5, 4, 5, 2, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 2, 5, 3, 1, 3, 4, 4, 4, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4], "1471": [5, 4, 4, 5, 2, 4, 4, 3, 5, 4, 4, 4, 2, 4], "3428": [5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 2, 5, 4, 4, 4, 3, 5, 2, 5, 5, 3, 4, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 1, 3, 4, 1, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 2, 4, 3, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 3, 5, 2, 5, 4, 2, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 1, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 2, 2, 1, 1, 2, 3, 4, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 2, 5, 5, 3, 3, 4, 5], "1052": [5, 3, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4], "4168": [4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 4, 4, 5, 5, 5], "1089": [4, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4], "651": [4, 2, 4, 5, 5, 2, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 1, 3, 5, 3, 5, 5, 5, 4, 5, 3, 5, 3, 4, 3, 4, 3, 2, 5, 4, 4, 3, 2, 3, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 2, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 4, 2, 4, 3, 4, 4, 3, 2, 3, 3, 2, 5, 5, 3, 3, 1, 4, 2, 4, 4, 3, 4, 2, 4, 3, 2, 5, 2, 2, 5, 1, 2, 2, 3, 2, 4, 5, 3, 3, 3, 4, 4, 1, 5, 3, 5, 3, 4, 1, 3, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 2, 2, 4, 3, 3, 2, 5, 5, 2, 2, 3, 3, 3, 4, 4, 4, 2, 3, 4, 2, 3, 3, 4, 2, 4, 3, 4, 4, 4, 5, 5, 5, 3, 2, 1, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 2, 5, 4, 4, 3, 3, 4, 3, 4, 3, 3, 2, 4, 3, 3, 1, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 2, 3, 5, 3, 4, 5, 2, 3, 3, 4, 3, 2, 2, 3, 3, 4, 4, 3, 4, 5, 2, 4, 3, 3, 3, 3, 2, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 2, 4, 5, 4, 4, 3, 3, 4, 4, 2, 5, 4, 2, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 5, 2, 4, 4, 5, 4, 4, 4, 2, 2, 4, 2, 4, 3, 3, 3, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 2, 2, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 3, 5, 2, 5, 4, 4, 4, 2, 3, 4, 5, 5, 3, 5, 2, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 2, 5], "274": [5, 5, 4, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 2, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5], "267": [4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 2, 2, 3, 5, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 1, 5, 2, 4, 4, 3, 3, 2, 2, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 3, 5, 5, 3, 3, 4, 4, 4, 4, 4, 2, 4, 5, 2, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 2, 5, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 5, 4], "687": [2, 3, 4, 4, 5, 5, 3, 4, 5, 2, 4, 3, 1, 5, 3, 4, 4, 1, 4, 3, 4, 4, 4, 5, 3, 3, 2, 3, 3, 3, 3, 5, 4, 3, 3, 2, 2, 4, 4, 4, 2, 2, 3, 5, 4, 4, 4, 4, 4, 3, 1, 3, 2, 3, 4, 4, 3, 4, 2, 4, 2, 5, 3, 3, 4, 2, 3, 3, 1, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 3, 1, 4, 2, 3, 4, 5, 3, 4, 3, 3, 5, 3, 2, 4, 3, 4, 5, 3, 5, 5, 3, 3, 3, 4, 5, 5, 4, 4, 5, 3, 5, 3, 3, 4, 3, 2, 3, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 2, 5, 3, 5, 2, 2, 4, 3, 4, 3, 2, 2, 4, 3, 2, 4, 3, 3, 5, 3, 4, 3, 5, 5, 4, 3, 1, 5, 4, 4, 5, 4, 5, 2, 4, 5, 4, 2, 5, 3, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 2, 3, 3, 4, 5, 5, 5, 5, 3, 3, 5, 3, 4, 3, 3, 5, 3, 5, 4, 3, 5, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 4, 4, 3, 5, 3, 4, 3, 2, 5, 4, 4, 1, 4, 2, 5, 5, 4, 4, 2, 4, 3], "4520": [5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 5, 5, 3, 3, 3, 4, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 3, 4, 4, 2, 3, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4], "5752": [2, 4, 4, 5, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 2, 4, 4, 5, 3, 4, 5, 4, 5, 2, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 3, 2, 5, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 2, 4, 3, 3, 5, 5, 3, 3, 5, 3, 4, 2, 2, 4, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5], "1686": [5, 5, 4, 5, 4, 4, 3, 2, 3, 4, 2, 2, 4, 5, 2, 4], "4142": [2, 5, 5, 1, 3, 3, 3, 4, 2, 5, 3, 5, 2, 2, 2, 2, 2, 3, 2, 5, 2, 5], "5758": [4, 1, 2, 5, 1, 2, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 2, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 1, 5, 3, 1, 1, 3, 5, 4, 5, 5, 5, 3, 1, 4, 5, 5, 5, 5, 2, 5, 5, 4, 4, 4, 4, 5, 1, 5, 5, 4, 3, 4, 5, 5, 2, 5, 5, 5, 5, 1, 5, 5, 5, 5, 2, 3, 5, 5, 3, 4, 2, 1, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 1, 5, 1, 5, 4, 5, 5, 3, 5, 5, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 1, 5, 5], "4294": [2, 2, 3, 3, 4, 5, 3, 5, 4, 5, 4, 4, 2, 2, 4, 4, 3, 3, 4, 2, 2, 3, 4, 1, 2, 5, 4, 4, 1, 2, 4, 3, 5, 3, 5, 3, 3, 2, 5, 3, 1, 5, 4, 2, 2, 4, 4, 1, 5, 2, 4, 4, 5, 3, 3, 5, 1, 4, 4, 3, 1, 4, 2, 1, 2, 2, 1, 4, 2, 2, 3, 3, 2, 3, 4, 3, 1, 4, 4, 5, 5, 1, 3, 2, 5, 5, 3, 5, 2, 3, 3, 2], "5923": [4, 4, 3, 4, 5, 3, 3, 3, 5, 2, 2, 5, 4, 4, 3, 4, 5, 5, 3], "5981": [4, 2, 4, 4, 4, 2, 4, 5, 4, 3, 5, 4, 5, 5, 3, 4, 2, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 2, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 5, 2, 2, 4, 3, 3, 2, 3, 5, 4, 5, 3, 1, 3, 2, 3, 2, 4, 3, 4, 5, 2, 2, 5, 4, 2, 4, 4, 1, 3, 5, 3, 4, 5, 4, 2, 5, 2, 3, 4, 1, 3, 3, 3, 3, 5, 5, 4, 5, 3, 2, 5, 5, 5, 3, 2, 3, 2, 3, 4, 4, 4, 4, 3, 2, 5, 3, 2, 4, 4, 4, 4, 2, 5, 2, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 4, 3, 3, 4, 5, 2, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 3, 2, 2, 3, 4, 4, 4, 4, 3, 3, 4, 1, 4, 5, 5, 3, 1, 4, 2, 2, 4, 3, 3, 3, 2, 5, 5, 2, 2, 4, 2, 3, 1, 5, 3, 5, 3, 5, 4, 4, 5, 4, 2, 5, 3, 1, 2, 3, 5, 3, 3, 4, 2, 4, 4, 2, 3, 3, 4, 4, 4, 2, 1, 3, 5, 4, 5, 1, 3, 2, 2, 4, 3, 4, 5, 3], "5726": [3, 4, 3, 2, 4, 5, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 3, 3, 2, 4, 5, 5, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 4, 3, 4, 3, 5, 3, 4, 4, 3, 4, 2, 4, 4, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 3, 3, 2, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4], "337": [4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 3, 2, 5, 2, 4, 5, 3, 5, 1, 3, 4, 1, 4, 1, 3, 2, 5, 5, 2, 4, 5, 3, 4, 3, 3, 3, 3, 2, 4, 2, 3, 4, 4, 3, 3, 2, 3, 5, 5, 4, 4, 4, 2, 3, 5, 3, 4, 4, 5, 5, 3, 4, 3, 5, 3, 3, 4, 3, 4, 1, 4, 3, 5, 4, 2, 3, 5, 4, 3, 4, 3, 5, 4, 4, 3, 2, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 5, 4, 1, 4, 5, 4, 1, 5, 4, 3, 2, 1, 1, 2, 1, 4, 5, 2, 4, 3, 3, 5, 3, 1, 2, 4, 5, 3, 4, 5, 5, 5, 5, 3, 3, 1, 4, 3], "997": [4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3], "4365": [2, 1, 3, 1, 4, 1, 3, 2, 2, 5, 2, 4, 4, 2, 4, 2, 3, 1], "3165": [5, 5, 5, 5, 3, 3, 3, 5, 5, 2, 5, 4, 5, 4, 2, 5, 4], "2852": [5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 2, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 3, 5, 5, 5, 3, 5, 4, 4, 4, 4, 2, 4, 3, 3, 2, 5, 3, 1, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5], "4751": [5, 5, 5, 1, 5, 1, 5, 1, 5, 1], "5846": [4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 2, 4, 4, 1, 4, 4, 4, 5, 5, 3, 4], "4216": [4, 4, 5, 5, 4, 5, 3, 5, 5, 2, 3, 3, 4, 5, 5, 4], "3223": [3, 4, 4, 4, 4, 4, 5, 4, 1, 2, 2, 4, 5], "20": [4, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 4], "494": [4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 3, 3, 5, 3, 3, 5, 4, 3, 2, 5, 1, 5, 3, 5, 3, 5, 4, 3, 4, 5, 4, 4, 3, 1, 5, 5, 3, 3, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 3, 5, 5, 5, 3, 3, 5, 4, 2, 4, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 3, 4, 3, 3, 3, 5, 4, 4, 3, 5, 3, 3, 4, 2, 5, 4, 3, 5, 5, 5, 4, 3, 5, 3, 5, 5, 5], "5755": [2, 2, 4, 1, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 3, 2, 5, 3, 2, 5, 5, 3, 3, 3, 3, 5, 4, 4, 4, 1, 3, 3, 2, 4, 4, 3, 5, 4, 5, 5, 3, 5, 3, 3, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 5, 4, 3, 2, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 1, 3, 2, 2, 4, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 2, 3, 4, 5, 5, 2, 4, 4, 2, 3, 1, 3, 3, 3, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 2, 5, 5, 3, 5, 4, 3, 3, 2, 4, 3, 4, 5, 4, 5, 3, 4, 5, 3, 3, 4, 3, 3, 3, 2, 4, 3, 2, 5, 3, 5, 4, 3, 3, 5, 3, 4, 4, 5, 4, 5, 3, 2, 3, 3, 2, 4, 3, 5, 1, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 3, 5, 4, 3, 3, 5, 3, 4, 5, 5, 3, 4, 5, 4, 3, 5, 3, 4, 4, 1, 4, 2, 4, 4, 5, 5, 4, 5, 5, 4, 3, 2, 4, 4, 5, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 5, 2, 3, 4, 5, 5, 4, 3, 3, 2, 5, 4, 3, 4, 4, 3, 2, 5, 5, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 2, 4, 3, 5, 4, 3, 4, 4, 3, 4, 1, 3, 4, 4, 4, 3, 3, 4, 1, 4, 4, 3, 5, 4, 4, 2, 2, 5, 5, 2, 4, 4, 3, 4, 4, 3, 5, 2, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 3, 1, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 2, 5, 5, 3, 5, 2, 3, 5, 1, 3, 2, 3, 3, 5, 4, 4, 3, 4, 2, 3, 1, 4, 5, 5, 3, 4, 4, 3, 1, 3, 3, 3, 3, 5, 3, 4, 5, 5, 1, 4, 4, 5, 4, 2, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4], "4029": [3, 3, 4, 4, 3, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4, 3, 5, 3, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4], "1310": [3, 5, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 2, 2, 4], "4841": [3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 2, 5, 4, 4, 3, 4, 2, 5, 4, 5, 4, 3, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5], "4966": [5, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 4, 3, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 5, 1, 4, 3, 3, 4, 4, 2, 3, 4, 2, 5, 3, 4, 4, 4, 5, 3], "556": [3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 5, 2, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 2, 5, 4, 5, 5, 4, 3, 2, 4, 4, 3, 4, 2, 3, 4, 4, 2, 5, 5, 3, 5, 4, 5, 3, 4, 3, 2, 3, 3, 4, 3, 4, 5, 5, 1, 5, 5, 5, 4, 2, 5, 3, 2, 2, 3, 4, 4, 4, 5, 4, 1, 3, 5, 2, 3, 3, 3, 3, 3, 3, 4, 5, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 4, 1, 5, 5, 5, 4, 3, 4, 2, 2, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 1, 3, 2, 2, 5, 4, 1, 2, 4, 2, 1, 1, 1, 4, 5, 3, 5, 3, 3, 3, 5, 4, 3, 4, 2, 3, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 3, 2, 5, 3, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 3, 5, 2, 3, 3, 2, 4, 2, 3, 1, 4, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 1, 5, 4, 4, 1, 5, 4, 2, 3, 3, 2, 4, 4, 5, 2, 3, 4, 3, 3, 4], "2957": [5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 5, 4], "5107": [3, 2, 2, 4, 4, 3, 2, 3, 4, 2, 3, 4, 4, 2, 3, 2, 5, 4, 3, 3, 4, 2, 3, 3, 3, 5, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 2, 2, 1, 4, 3, 3, 4, 2, 5, 3, 3, 2, 4, 3, 3, 3, 3, 4, 2, 4, 4, 3, 4, 2, 3, 4, 5, 4, 2, 2, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 1, 1, 3, 3, 3, 3, 2, 2, 4, 1, 3, 4, 4, 2, 4, 2, 2, 5, 4, 3, 3, 3, 2, 3, 1, 4, 2, 3, 4, 4, 4, 3, 2, 4, 4, 3, 5, 2, 4, 3, 3, 4, 2, 3, 3, 3, 4, 4, 2, 1, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 1, 2, 3, 3, 3, 2, 3, 4, 5, 2, 3, 3, 3, 3, 4, 3, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 1, 1, 1, 2, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 5, 2, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 1, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 2, 4, 4, 3, 2, 4, 3, 3, 3, 4, 3, 2, 4, 1, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 5, 3, 4, 1, 5, 3, 4, 3, 3, 1, 5, 3, 3, 4, 3, 2, 3, 4, 4, 1, 4, 4, 5, 3, 4, 2, 3, 4, 1, 1, 5, 4, 1, 5, 3, 5, 4, 3, 3, 3, 3, 5, 5, 3, 5, 3, 1, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 2, 3, 1, 3, 3, 4, 2, 3, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 1, 3, 2, 4, 2, 5, 4, 2, 4, 3, 3, 3, 4, 4, 1, 4, 2, 4, 1, 3, 3, 4, 3, 1, 4, 4, 3, 3, 3, 3, 2, 2, 4, 1, 5, 3, 4, 4, 3, 3, 1, 2, 4, 5, 5, 5, 3, 4, 4, 4, 3, 3, 3, 4, 4, 1, 2, 2, 1, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 5, 3, 3, 4, 2, 3, 3, 3, 5, 2, 2, 3, 5, 4, 2, 2, 2, 4, 1, 4, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 2, 4, 4, 3, 3, 4, 1, 3, 4, 3, 1, 2, 3, 2, 4, 4, 3, 5, 3, 4, 3, 3, 2, 4, 3, 4, 2, 5, 3, 3, 3, 3, 1, 1, 4, 4, 5, 2, 2, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 2, 3, 2, 1, 2, 4, 2, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4], "4834": [3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 5, 2, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 3, 1, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 2, 4, 4, 2, 3, 4, 2, 3, 5, 4, 3, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 4, 2, 5, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4], "2708": [3, 2, 4, 5, 3, 4, 5, 3, 3, 1, 4], "2077": [3, 4, 2, 2, 2, 2, 2, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 2, 3, 4, 5, 2, 5, 5, 4, 5, 2, 5, 5, 4, 4, 4, 4, 2, 4, 4, 2, 4, 2, 3, 4, 3, 1, 4, 1, 4, 3, 2, 4, 4, 2, 1, 1, 4, 3, 4, 2, 2, 1, 4, 3, 4, 2, 4, 4, 3, 2, 2, 2, 3, 5, 3, 1, 3, 4, 2, 3, 4, 3, 2, 5, 3, 4, 1, 2, 4, 2, 4, 4, 1, 4, 5, 2, 3, 3, 2, 2, 4, 4, 4, 2, 4, 4, 5, 2, 2, 4, 5, 5, 3, 4, 5, 2, 3, 4, 2, 3, 2, 1, 4, 2, 4, 2, 3, 4, 4, 2, 2, 1, 4, 4, 5, 3, 3, 1, 4, 5, 4, 1, 2, 3, 5, 4, 3, 4, 3, 5, 1, 5, 4, 3, 4, 1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 1, 3, 4, 2, 2, 3, 4, 2, 2, 2, 3, 2, 3, 5, 5, 3, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 2, 4, 4, 1, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 5, 2, 2, 3, 2, 1, 5, 4, 3, 3, 3, 2, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 5, 2, 3, 4, 3, 4, 3, 4, 5, 3, 4, 2, 3, 4, 1, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 2, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 1, 3, 2, 4, 5, 4, 2, 3, 4, 3, 3, 5, 4, 3, 2, 1, 2, 4, 1, 5, 2, 4, 4, 5, 4, 5, 3, 3, 4, 2, 2, 2, 2, 3, 3, 4, 3, 3, 3, 2, 1, 5, 3, 4, 2, 5, 1, 4, 5, 1, 4, 2, 1, 1, 2, 2, 3, 2, 4, 2, 4, 4, 3, 5, 3, 3, 1, 2, 4, 3, 2, 3, 4, 4, 3, 3, 5, 3, 2, 5, 1, 3, 2, 2, 2, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 5, 3, 2, 2, 5, 4, 4, 2, 2, 2, 4, 3, 4, 2, 4, 3, 3, 2, 3, 2, 4, 5, 5, 2, 2, 2, 4, 5, 4, 5, 1, 3, 5, 5, 2, 4, 2, 2, 3, 5, 2, 3, 2, 3, 1, 2, 4, 5, 3, 3, 4, 2, 5, 2, 2, 3, 1, 4, 3, 1, 3, 3, 5, 5, 3, 4, 4, 3, 5, 2, 4, 2, 3, 1, 2, 3, 3, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 4, 4, 2, 3, 5, 5, 4, 3, 3, 2, 3, 3, 4, 3, 2, 4, 4, 5, 2, 4, 5, 2, 1, 4, 2, 4, 1, 3, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 5, 3, 3, 3, 2, 4, 4, 2, 4, 5, 2, 2, 2, 4, 2, 5, 4, 2], "5292": [2, 5, 5, 4, 3, 4, 2, 4, 5, 5, 3, 2, 5, 5, 4, 5, 4, 4, 1, 5, 2, 1, 5, 2], "1180": [5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5], "4095": [5, 4, 5, 4, 5, 4, 2, 4, 4, 1, 5, 4, 2, 5, 3, 4, 3, 4, 5, 5, 3, 3, 4, 1, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4], "5278": [2, 2, 5, 5, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 2, 4, 2, 2, 1, 5, 4, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 1, 3, 4, 5, 3, 4, 5, 2, 1, 4, 5, 4, 5, 5, 5, 5, 2, 5, 5, 1, 2, 1, 5, 3, 2, 4, 5, 5, 2, 5, 2, 1, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 1, 4, 1, 5, 3, 3, 5, 2, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 2, 5, 2, 2, 1, 4, 2, 2, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5], "1671": [3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 2, 3, 4, 4, 3, 5, 5, 4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 5, 4, 3, 2, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 2, 4, 3, 4, 1, 5, 4, 3, 2, 2, 4, 5, 4, 2, 5, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 1, 5, 3, 5, 5, 3, 5, 3, 5, 4, 5, 5, 4, 5, 2, 5, 5, 3, 3, 4, 4, 5, 4, 3, 5, 3, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 3, 4, 3, 5, 3, 5, 5, 5, 5, 4, 3, 2, 5, 3, 5, 2, 5, 5, 2, 2, 5, 5, 1, 3, 4, 4, 5, 2, 5, 4, 4, 2, 4, 3, 2, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 2, 2, 5, 4, 5, 4, 1, 2, 3, 5, 4, 4, 3, 2, 4, 4, 5, 3, 5, 4, 4, 3, 5, 3, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 2, 5, 4, 3, 4, 2, 5, 3, 4, 5, 4, 3, 5, 5, 5, 4, 2, 5, 3, 4, 4, 2, 2, 1, 1, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 2, 5, 5, 3, 2, 5, 3, 5, 2, 3, 5, 4, 5, 2, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 2, 5, 4, 5, 3, 5, 2, 5, 4, 5, 2, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 4, 5, 4, 2, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 1, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 2, 3, 4, 3, 2, 5, 5, 4, 2, 5, 5, 4, 3, 5, 5, 4, 2, 2, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 2, 4, 3, 4, 5, 4, 2, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 2, 3, 3, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 2, 4, 2, 4, 4, 5, 1, 4, 5, 5, 4, 4, 3, 4, 3, 5, 5, 3, 4, 3, 5, 5, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 4, 3, 3, 5, 2, 4, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 3, 2, 2, 5, 5, 5, 4, 3, 4, 3, 2, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 2, 4, 3, 1, 3, 5, 4, 3, 3, 2, 2, 5, 4, 5, 4, 2, 5, 3, 3, 3, 4, 2, 5, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 2, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 3, 3, 5, 2, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 2, 5, 4, 2], "3003": [5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 1, 4, 3, 3, 3, 4, 5, 3, 2, 4, 2, 5, 4, 4, 1, 3, 5, 3, 5, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 1, 5, 5, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 4, 2, 5, 5, 4, 5, 3, 4], "346": [4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 1, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 2, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 1, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 1, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 2, 5, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 1, 5, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5], "5174": [4, 4, 2, 4, 4], "4677": [4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5], "5811": [5, 2, 1, 3, 4, 5, 4, 1, 1, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 3, 5, 5, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 1, 3, 2, 3, 4, 4, 2, 1, 3, 3, 4, 4, 1, 5, 4, 4, 4, 2, 3, 2, 4, 4, 4, 4, 4, 1, 3, 5, 4, 3, 4, 4, 4, 4, 5, 3, 3, 3, 2, 5, 5, 1, 4, 4, 2, 4, 1, 5, 1, 3, 2, 4, 3, 3, 5, 2, 4, 5, 3, 5, 4, 4, 1, 2, 4, 4, 4, 3, 4, 1, 1, 5, 3, 2, 4, 3, 5, 2, 5, 5, 4, 5, 3, 5, 4, 3, 3, 5, 1, 5, 3, 4, 5, 2, 3, 5, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 2, 2, 2, 4, 4, 4, 4, 1, 1, 3, 5, 4, 5, 4, 1, 4, 4, 4, 3, 5, 1, 3, 4, 1, 4, 3, 1, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 2, 5, 3, 4, 4, 2, 4, 1, 3, 4, 3, 3, 5, 4, 1, 3, 2, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3], "5784": [5, 3, 2, 3, 5, 3, 3, 4, 4], "336": [4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 1, 5, 1, 5, 4, 4, 1, 4, 5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 1, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 2, 2, 5, 5, 5, 5, 3, 1, 5, 5, 2, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5], "2637": [4, 4, 3, 4, 5, 4, 4, 4, 3, 1, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5], "845": [5, 2, 1, 5, 5, 4, 3, 3, 2, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4], "4278": [5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 3, 4, 3, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3], "2059": [3, 2, 3, 5, 5, 5, 5, 3, 2, 4, 2, 5, 3, 4, 2, 1, 5, 1, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 3, 2, 4, 3, 2, 4, 3, 5, 3, 2, 3, 5, 2, 1, 4, 3, 2, 3, 2, 1, 4, 1, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 1, 4, 5, 5, 2, 4, 4, 1, 5, 5, 5, 5, 4, 5, 3, 5, 4, 1, 2, 4, 4, 2, 5, 1, 3, 5, 5, 5, 3, 4, 5, 3, 5, 3, 3, 2, 4, 5, 3, 3, 3, 3, 2, 3, 5, 2, 3, 2, 5, 5, 5, 3, 5, 4, 2, 4, 5, 3, 4, 5, 5, 1, 4, 4, 3, 3, 5, 4, 1, 4, 4, 2, 3, 4, 2, 3, 3, 5, 4, 5, 4, 2, 3, 2, 2, 2, 1, 4, 1, 4, 5, 2, 5, 1, 5, 2, 3, 5, 3, 3, 3, 3, 3, 4, 5, 4, 3, 1, 4, 5, 4, 2, 1, 5, 3, 4, 2, 4, 2, 5, 3, 4, 2, 5, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 1], "4345": [3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 1, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 5, 2, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 2, 3, 3, 4, 3, 1, 3, 3, 3, 3, 2, 5, 4, 3, 2, 5, 4, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 5, 3, 4, 5, 5, 4, 5, 3, 2, 2, 1, 2, 3, 2, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 3, 2, 4, 2, 3, 5, 1, 5, 4, 4, 3, 3, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 2, 3, 4, 4, 2, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 3, 2, 5, 4, 4, 4, 2, 2, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 4, 3, 3, 3, 4, 1, 2, 4, 5, 2, 5, 1, 4, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 3, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 3, 1, 5, 4, 3, 5, 4, 1, 3, 1, 2, 3, 3, 2, 3, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 5, 3, 2, 3, 2, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 5, 2, 3, 3, 4, 5, 3, 3, 4, 3, 3, 2, 4, 3, 3, 3, 4, 2, 4, 2, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 5, 5, 2, 4, 2, 4, 4, 3, 4, 4, 3, 3, 2, 2, 1, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 2, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 1, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 5, 4, 4, 3], "294": [4, 4, 3, 4, 4, 5, 4, 5, 4, 1, 2, 4, 3, 2, 3, 3, 5, 2, 4, 4, 3, 4, 5, 4, 2, 4, 2, 3, 4, 3, 3, 2, 4, 2, 3, 4, 3, 2, 4], "1319": [3, 1, 3, 2, 3, 2, 4, 4, 1, 3, 4, 1, 1], "3887": [3, 5, 2, 3, 4, 4, 3, 4, 5, 2, 4, 3, 5, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 5, 4, 3, 4, 5, 3, 4, 3, 5, 4, 1, 2, 2, 5, 3, 1, 5, 5, 4, 5, 3, 4, 4, 4, 1, 3, 3, 4, 1, 4, 5, 5, 3, 2, 3, 3, 2, 3, 5, 1, 5, 1, 2, 4, 3, 1, 4, 3, 1, 4, 3, 4, 2, 4, 1, 3, 4, 3, 3, 5, 3, 1, 4, 2, 3, 3, 4, 1, 3, 3, 4, 3, 1, 4, 3, 4, 4, 2, 3, 1, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 5, 5, 2, 3, 4, 4, 1, 4, 2, 4, 2, 3, 3, 5, 2, 2, 4, 2, 3, 3, 1, 4, 4, 2, 4, 1, 3, 3, 2, 1, 2, 4, 5, 3, 4, 1, 3, 3, 3, 3, 2, 4, 2, 4, 2, 4, 5, 3, 2, 4, 3, 5, 2, 3, 3, 4, 2, 1, 3, 5, 2, 3, 2, 5, 5, 3, 3, 3, 3, 3, 1, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 3, 4, 5, 3, 5, 3, 3, 4, 4, 5, 3, 5, 5, 3, 2, 4, 5, 3, 3, 2, 4, 3, 4, 5, 5, 1, 5, 3, 3, 4, 2, 3], "208": [4, 3, 3, 5, 3, 5, 3, 4, 2, 4, 4, 3, 2, 2, 5, 4, 3, 3, 4, 4, 4, 2, 3, 4, 3, 5, 5, 2, 2, 4, 4, 3, 5, 3, 5, 4, 4, 3, 4, 3, 5, 3, 5, 5, 3, 4, 4, 5, 3, 3, 2, 5, 5, 3, 4, 3, 5, 3, 1, 5, 3, 2, 4, 3, 3, 3, 2, 3, 2, 5, 4, 4, 5, 2, 5, 3, 4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 3, 2, 4, 4, 2, 2, 3, 2, 3, 5, 2, 2, 3, 5, 2, 3, 5, 5, 4, 4, 5, 4, 5, 4, 2, 4, 5, 4, 3, 5, 3, 3, 4, 3, 4, 5, 4, 2, 4, 5, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 2, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 2, 4, 5], "1801": [5, 5, 4, 4, 3, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 2, 4, 4], "5088": [4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 2, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4], "2706": [3, 4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5], "3114": [1, 2, 4, 4, 2, 3, 5, 3, 3, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 5, 4, 5, 2, 2, 5, 5, 1, 1, 4, 5, 4, 1, 2, 4, 4, 5, 4, 2, 5, 4, 5, 1, 5, 2, 1, 1, 1, 1, 3, 4, 5, 2, 4, 5, 1, 5, 4, 4, 5, 2, 4, 5, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4], "2968": [3, 5, 5, 5, 4, 3, 4, 3, 5, 5, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 5, 5, 4, 2, 3, 5, 4, 5, 2, 4, 3, 3, 4, 4, 2, 5, 3, 2, 3, 1, 3, 4, 1, 4, 4, 2, 3, 1, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 2, 4, 5, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 2, 5, 4, 4], "3623": [3, 4, 4, 3, 5, 1, 5, 4, 5, 3, 4, 4, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4], "3617": [4, 5, 1, 1, 4, 1, 5, 5, 4, 3, 1, 4, 4, 1, 3, 4, 4, 5, 5, 4, 3, 4, 4, 1, 4, 1, 5, 3, 3, 4, 4, 3, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 4, 5, 1], "1777": [3, 4, 4, 3, 3, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 3, 5, 4, 3, 4, 4], "1005": [4, 4, 5, 5, 4, 5, 1, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 2, 4, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 1, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 2, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5], "699": [3, 2, 2, 2, 3, 2, 4, 4, 5, 2, 2, 4, 2, 4, 4, 3, 3, 4, 3, 4, 2, 2, 2, 2, 5, 4, 5, 3, 5, 4, 5, 4, 4, 2, 5, 4, 4, 4, 4, 5, 3, 4, 3, 2, 5, 3, 3, 5, 3, 3, 4, 4, 3, 1, 3, 2, 2, 3, 3, 3, 1, 2, 5, 4, 4, 2, 1, 4, 4, 2, 4, 3, 3, 2, 3, 1, 2, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 3, 5, 2, 3, 2, 2, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 2, 1, 4, 5, 2, 3, 3, 2, 4, 3, 4, 3, 4, 4, 1, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 3, 2, 4, 2, 3, 4, 4, 1, 2, 3, 2, 4, 1, 4, 2, 2, 2, 3, 4, 4, 5, 3, 5, 1, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 1, 1, 3, 3, 4, 3, 4, 3, 3, 1, 2, 3, 4, 1, 3, 4, 1, 3, 3, 3, 3, 3, 4, 2, 4, 2, 3, 4, 3, 5, 3, 4, 1, 4, 4, 3, 4, 3, 2, 5, 2, 3, 4, 2, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 4, 3, 3, 3, 1, 3, 2, 3, 3, 3, 1, 3, 4, 4, 2, 3, 4, 3, 3, 2, 4, 3, 3, 3, 4, 4, 4, 1, 2, 4, 3, 3, 1, 3, 3, 4, 4, 2, 2, 4, 5, 3, 3, 3, 1, 3, 2, 4, 2, 4, 2, 1, 4, 4, 4, 3, 4, 2, 3, 4, 1, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 5, 2, 3, 3, 2, 2, 1, 3, 3, 2, 3, 1, 2, 3, 2, 4, 2, 1, 3, 5, 5, 4, 3, 2, 3, 3, 3, 2, 4, 4, 5, 1, 3, 5, 1, 3, 2, 3, 5, 3, 4, 2, 2, 1, 3, 3, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 2, 5, 2, 5, 4, 5, 3, 5, 1, 3, 1, 1, 3, 4, 1, 2, 3, 4, 5, 2, 3, 1, 3, 5, 3, 2, 3, 3, 2, 3, 1, 3, 3, 5, 3, 3, 1, 3, 4, 2, 4, 4, 4, 2, 4, 3, 4, 3, 4, 1, 4, 3, 3, 3, 4, 3, 3, 5, 3, 5, 3, 4, 4, 5, 2, 3, 2, 2, 3, 3, 2, 4, 4, 4, 3, 5, 2, 5, 4, 5, 5, 1, 3, 3, 2, 4, 4, 3, 4, 4, 4, 2, 3, 2, 2, 4, 3, 4, 4, 2, 4, 2, 2, 4, 5, 5, 2, 3, 1, 2, 5, 5, 3, 3, 5, 5, 3, 5, 4, 4, 2, 1, 1, 3, 2, 4, 3, 2, 3, 2, 5, 3, 4, 5, 3, 1, 1, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 5, 4, 3, 3, 4, 3, 3, 4, 3, 4, 1, 3, 2, 2, 3, 2, 3, 4, 2, 3], "5439": [5, 5, 4, 5, 2, 4, 4, 5, 3, 3], "2770": [4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 2, 1, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 3, 3, 1, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5], "4019": [5, 3, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4], "4668": [5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 4], "2293": [4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 3, 2, 5, 2, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 2, 3, 4, 5, 4, 4, 5, 4, 4, 2, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 2, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 3, 5, 2, 4, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 3, 5, 4, 2, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 1, 5, 5, 4, 4, 5, 2, 4, 2, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5], "3495": [3, 4, 4], "550": [5, 3, 3, 3, 3, 4, 2, 3, 2, 4, 3, 4, 5, 5, 2, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 5, 3, 5, 5, 4, 5, 5, 2, 5, 5, 4, 4, 3, 5, 4, 5, 5, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 2, 4, 3, 5, 4, 3, 5, 4, 2, 4, 5, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 5, 4, 1, 3, 5, 3, 5, 3, 4, 5, 2, 4, 3, 3, 3, 4, 1, 5, 2, 3, 4, 3, 1, 2, 2, 4, 5, 3, 4, 4, 3, 5, 3, 1, 3, 4, 3, 4, 4, 3, 3, 5, 3, 2, 4, 3, 3, 3, 3, 3, 4, 1, 3, 5, 4, 4, 3, 4, 3, 5, 3, 2, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 4, 4, 3, 1, 4, 5, 3, 4, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 2, 5, 4, 2, 4, 5, 3, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 2, 4, 4, 3, 2, 5, 4, 3, 3, 3, 4, 3, 4, 1, 1, 5, 3, 1, 4, 3, 5, 3, 2, 2, 3, 4, 5, 3, 5, 3, 5, 3, 3, 5, 4, 1, 4, 5, 3, 4, 3, 3, 5, 5, 3, 2, 4, 5, 3, 2, 3, 4, 5, 1, 3, 2, 5, 2, 5, 5, 5, 3, 4, 4, 5, 4, 5, 1, 4, 5, 3, 3, 5, 5, 3, 5, 4, 2, 2, 4, 2, 3, 3, 4, 5, 5, 5, 5, 4, 3, 1, 5, 4, 5, 1, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 1, 4, 3, 5, 3, 3, 3, 2, 2, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 5, 5, 4, 2, 3, 3, 4, 5, 3, 3, 4, 3, 2, 5, 5, 2, 2, 2, 3, 5, 4, 4, 2, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 3, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 5, 4, 5, 3, 3, 3, 3, 4, 5, 4, 4, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 5, 2, 4, 2, 3, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 2, 3, 2, 3, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 3, 5, 4, 4, 5, 2, 5, 2, 3, 3, 2, 3, 3, 4, 4, 3, 1, 3, 5, 4, 3, 5, 5, 3, 5, 3, 2, 3, 5, 5, 2, 4, 3, 3, 5, 4, 1, 5, 5, 4, 2, 4, 2, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 5, 4, 5, 3, 4, 1, 3, 2, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 2, 4, 4, 3, 4, 3, 1, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 2, 3, 4, 4, 5, 3, 3, 2, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 2, 3, 4, 2, 4, 3, 1, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 3, 4, 1, 3, 5, 3, 3, 5, 3, 4, 4, 3, 4, 3, 2, 4, 4, 3, 2, 5, 4, 5, 3, 4, 5, 4, 5, 4, 2, 1, 5, 3, 4, 4, 2, 3, 2, 3, 4, 5, 3, 4, 5, 5, 3, 4, 5, 3, 5, 4, 2, 2, 3, 4, 3, 3, 3, 4, 1, 3, 4, 4, 4, 3, 3, 4, 1, 2, 5, 5, 4, 3, 2, 3, 3, 4, 2, 5, 5, 5, 5, 5, 5, 3, 3, 4, 3, 3, 5, 3, 4, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 3, 4, 4, 2, 3, 3, 2, 4, 4, 5, 5, 2, 5, 3, 5, 3, 5, 1, 3, 2, 3, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 2, 5, 3, 3, 3, 4, 3, 1, 5, 2, 4, 3, 5, 3, 5, 5, 4, 4, 4, 4, 2, 2, 4, 5, 4, 3, 2, 3, 4, 4, 4, 4, 5, 5, 5, 1, 4], "1634": [3, 4, 5, 3, 5, 3, 3, 3, 3, 3, 5, 5, 4, 3, 4, 2, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 1, 1, 2, 5, 2, 4, 1, 3, 4, 5, 4, 4, 3, 4, 4, 5, 2, 3, 3, 2, 4, 5, 4, 3, 4, 5, 4, 2, 3, 3, 4, 4, 3, 4, 5, 5, 4, 3, 2, 5, 5, 3, 3, 4, 4, 2, 4, 3, 5, 5, 4, 4, 3, 3], "3497": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4], "1204": [5, 3, 5, 5, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 5, 2, 3, 5, 4, 3, 4, 4, 4, 3, 5, 4, 3, 2, 5, 4, 4, 3, 3, 3, 2, 4, 4, 3, 5], "866": [4, 4, 1, 4, 1, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3], "4427": [5, 2, 5, 3, 5, 4, 5, 2, 5, 2, 5, 3, 4, 3, 5, 1, 5, 1, 1], "4583": [4, 1, 4, 1, 5, 2, 3, 5, 3, 3, 4, 5, 5, 4, 5, 2, 4, 3, 4, 4, 4, 5, 3, 4, 3], "990": [3, 5, 4, 3, 3, 4, 3, 2, 5, 4, 3, 3, 4, 3, 3, 3, 3, 5, 2, 4, 4, 2, 3, 3, 4, 3, 1, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 4, 4, 3, 5, 5, 2, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 2, 2, 3, 4, 3, 5, 3, 4, 3, 4], "1040": [4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 3, 4, 5, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 3, 2, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5], "178": [5, 3, 4, 5, 3, 4, 4, 3, 4, 4, 3, 3, 1, 3, 5, 5, 4, 5, 4, 3, 3, 5, 5, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 5, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 2, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 5, 4, 2, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 5, 3, 4, 2, 4, 3, 3, 4], "3474": [3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 3, 5, 5, 3, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5], "4830": [4, 4, 3, 5, 2, 1, 2, 2, 5, 3, 4, 4, 5, 3, 2, 3, 2, 5, 5, 5, 5, 3, 4, 3, 4, 5, 4, 4, 2, 1, 5, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 2, 3, 3, 3, 3, 5, 5, 5, 4, 2, 3, 4, 2, 4, 4, 4, 2, 3, 3, 5, 1, 5, 5, 5, 3, 4, 4, 1, 3, 1, 5, 4, 5, 4, 3, 3, 2, 3, 2, 1, 2, 2, 3, 2, 4, 4, 4, 3, 4], "632": [4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 3, 5, 5, 2, 2, 3, 2, 5, 3, 5, 5, 4, 4, 5, 4, 4], "3407": [2, 3, 3, 3, 2, 4, 5, 2, 3, 5, 5, 2, 5, 2, 2], "4808": [3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 5, 3, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 5, 5, 3, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 5, 2, 5, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 4, 3, 5, 5, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 3, 4, 4, 2, 3, 3, 4, 4, 3, 2, 4, 4, 3, 5, 3, 2, 3, 3, 3, 4, 3, 2, 4, 4, 2, 2, 4, 2, 5, 4, 3, 2, 5, 2, 3, 2, 3, 5, 5, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 5, 3, 3, 4, 4, 4, 5, 3, 2, 2, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 5, 3, 3, 3, 3, 1, 3, 3, 4, 4, 5, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 2, 3, 4, 2, 3, 3, 3, 5, 3, 5, 2, 3, 2, 1, 1, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 5, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 1, 4, 1, 3, 4, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 3, 3, 3, 3, 5, 4, 2, 5, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 2, 5, 4], "1599": [1, 4, 3, 4, 4, 3, 3, 5, 3, 2, 2, 5, 3, 3, 4, 3, 5, 5, 3, 4, 3, 4, 2, 2, 4, 5, 1, 2, 3, 3, 1, 4, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 1, 3, 3, 2, 3, 4, 4, 4, 3, 1, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 1, 2, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 4, 3, 5, 1, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 5, 4, 1, 3, 4, 3, 4, 3, 4, 5, 3, 5, 3, 4, 2, 3, 3, 1, 4, 3, 3, 4, 4, 5, 3, 4, 2, 3, 4, 3, 2, 3, 3, 3, 3, 4, 1, 5, 3, 3, 3, 4, 2, 1, 4, 5, 4, 3, 4, 5, 2, 4, 3, 3, 5, 3, 3, 4, 3, 2, 2, 3, 5, 4, 3, 4, 2, 4, 3, 2, 4, 3, 3, 4, 3, 3, 5, 2, 3, 3, 3, 2, 4, 5, 4, 2, 4, 3, 3, 3, 1, 4, 5, 3, 2, 3, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 3, 4, 3, 5, 4, 3, 5, 3, 2, 2, 2, 5, 5, 2, 3, 3, 2, 3, 2, 2, 3, 4, 4, 4, 4, 5, 2, 2, 2, 3, 1, 1, 3, 5, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 3, 3, 2, 4, 3, 2, 3, 1, 4, 4, 4, 2, 4, 3, 3, 5, 4, 2, 3, 2, 3, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 1, 3, 3, 1, 4, 3, 4, 4, 4, 1, 5, 4, 2, 4, 4, 2, 5, 4, 2, 4, 4, 1, 3, 2, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 2, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 2, 4, 2, 2, 2, 5, 2, 2, 4, 1, 5, 3, 5, 3, 3, 5, 4, 5, 2, 3, 1, 4, 4, 4, 4, 1, 3, 5, 3, 3, 2, 3, 1, 4, 3, 4, 4, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 5, 5, 3, 4, 2, 3, 5, 5, 4, 3, 2, 5, 4, 3, 3, 5, 3, 3, 3, 4, 3, 4, 2, 5, 4, 5, 4, 5, 3, 3, 2, 2, 2, 4, 3, 3, 4, 2, 3, 3, 2, 4, 4, 4, 5, 3, 3, 4, 4, 3, 4, 2, 4, 2, 5], "3251": [2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 2, 5, 4, 5, 5, 4, 4, 2, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5], "2679": [3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 2, 4, 5, 4, 4, 5, 2, 5, 3, 4, 3, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 3, 5, 5, 3, 3, 3, 4, 4, 3, 5, 3, 4, 1, 3, 4, 3, 5, 2, 4, 4, 3, 4, 5, 5, 5, 3, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 2, 3, 5, 5, 4, 3, 1, 4, 5, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 2, 4, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 5, 4, 3, 3, 4, 3, 5, 3, 3, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 5, 4, 4, 1, 1, 4, 4, 3, 5, 4, 5, 4, 3, 4, 2, 5, 5, 3, 3, 5, 5, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 5, 2, 4, 2, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 3, 4, 1, 4, 3, 4, 2, 3, 4, 4, 3, 4, 1, 3, 4, 1, 3, 5, 4, 4, 3, 2, 3, 5, 5, 5, 3, 4, 3, 5, 3, 5, 5, 4, 4, 1, 4, 3, 5, 4, 3, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 2, 5, 4, 4, 5, 4, 3, 4, 3, 3, 2, 5, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5], "5575": [1, 1, 3, 1, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 5, 2, 3, 1, 5, 3, 4, 3, 4, 4, 5, 3, 3, 4, 3, 1, 2, 1, 4, 3, 3, 2, 2, 3, 3, 3, 2, 3, 1, 1, 5, 3, 4, 3, 1, 3, 5, 2, 2, 2, 3, 3, 3, 2, 3, 3, 4, 5, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 4, 2, 3, 3, 2, 3, 2, 5, 4, 2, 1, 4, 4, 3, 4, 5, 4, 4, 4, 5, 2, 1, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 3, 4, 5, 4, 4, 3, 3, 2, 1, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 2, 1, 1, 3, 3, 2, 3, 3, 2, 2, 4, 3, 3, 2, 2, 1, 2, 1, 3, 4, 3, 4, 3, 2, 3, 1, 5, 2, 2, 3, 4, 3, 3, 3, 1, 3, 1, 4, 1, 3, 3, 1, 3, 4, 3, 1, 1, 1, 3, 1, 2, 4, 3, 1, 3, 2, 3, 5, 3, 2, 3, 2, 3, 3, 3, 2, 5, 4, 3, 3, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 4, 5, 3, 2, 4], "3038": [4, 4, 5, 5, 5, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 3, 1, 1, 1, 3, 1, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 3, 3, 5, 3, 3, 4, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 3, 1, 3, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 1, 3, 3, 4, 5], "1128": [3, 4, 3, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 2, 4, 3, 4, 3, 3, 4, 5, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 4, 2, 3, 4, 4, 3, 4, 2, 5, 3, 4, 3, 5, 5, 5, 1, 4, 4, 4, 2, 5, 5, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 1, 1, 2, 2, 1, 3, 2, 5, 4, 4, 3, 4, 4, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 2, 3, 2, 4, 1, 3, 1, 3, 4, 2, 1, 3, 1, 1, 1, 4, 2, 5, 4, 3, 1, 3, 5, 4, 3, 2, 3, 3, 4, 1, 2, 3, 4, 4, 3, 4, 4, 3, 3, 3, 1, 1, 2, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 1, 4, 3, 1, 2, 1, 2, 3, 5, 3, 1, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 2, 2, 4, 4, 3, 4, 3, 5, 2, 3, 3, 5, 4, 1, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 2, 1, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 1, 4, 3, 3, 2, 3, 3, 4, 4, 1, 4, 3, 1, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 2, 4, 5, 3, 1, 2, 2, 2, 1, 2, 2, 1, 1, 5, 5, 3, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 5, 2, 4, 2, 2, 2, 3, 4, 1, 1, 4, 4, 3, 1, 3, 4, 4, 4, 4, 3, 2, 2, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 2, 2, 3, 3, 2, 4, 4, 3, 2, 4, 4, 1, 4, 4, 1, 2, 3, 4, 1, 1, 4, 3, 1, 1, 4, 3, 3, 3, 4, 2, 2, 1, 3, 1, 3, 4, 4, 3, 3, 2, 3, 2, 1, 2, 4, 4, 3, 2, 2, 3, 4, 4, 2, 2, 4, 5, 3, 1, 4, 5, 3, 5, 3, 2, 3, 4, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 4, 1, 4, 4, 3, 3, 4, 3, 1, 3, 5, 1, 3, 4, 5, 4, 4, 4, 5, 1, 4, 4, 4, 3, 2, 4, 5, 5, 4, 2], "2147": [3, 4, 4, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 3, 2, 3, 4, 5, 2, 3, 4, 3, 5, 4, 3, 3, 4, 2, 2, 4, 4, 4, 2, 3, 3, 5, 4, 4, 3, 1, 5, 3, 3, 3, 1, 3, 3, 3, 4, 4, 4, 5, 1, 5, 4, 3, 4, 5, 2, 4, 2, 5, 3, 5, 3, 5], "159": [4, 4, 5, 2, 3, 4, 3, 3, 5], "2835": [2, 4, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 2, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 2, 5, 5, 5, 5, 5], "321": [3, 2, 3, 3, 2, 2, 4, 4, 2, 1, 3, 3, 5, 5, 3, 1, 5, 5, 4, 3, 4, 5, 2, 5, 3, 3, 3, 5, 2, 3, 4, 1, 4, 3, 2, 5, 5, 3, 3, 3, 5, 2, 4, 3, 3, 5, 3, 3, 3, 5, 5, 2, 4, 1, 4, 1, 5, 3, 3, 4, 3, 3, 5, 4, 4, 5, 5, 2, 2, 4, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 1, 4, 3, 2, 1, 5, 3, 4, 5, 2, 4, 1, 4, 2, 3, 4, 4, 4, 4, 2, 3, 5, 4, 4, 4, 1, 5, 1, 3, 4, 2, 4, 5, 5, 1, 1, 2, 1, 5, 2, 2, 2, 5, 3, 5, 4, 5, 4, 2, 3, 4, 3, 5, 2, 5, 3, 4, 5, 4, 4, 2, 3, 4, 3, 5], "2410": [3, 5, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 2, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 5, 2, 4, 2, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 3], "5698": [3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 4, 3, 2, 4, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 5, 2, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 2, 4, 4, 5, 4, 4, 1, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 2, 3, 5, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 3, 5, 4, 4, 5, 3, 4, 4, 1, 4, 4, 2, 5, 5, 5, 3, 5, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 2, 2, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 2, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 2, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 4, 4, 3, 1, 1, 3, 4, 3, 3, 5, 2, 4, 5, 4, 2, 4, 3, 3, 2, 4, 5, 5, 4, 3, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 5, 3], "733": [4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 1, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 2, 2, 3, 5, 4, 4, 4, 5, 4, 5, 2, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4], "876": [3, 5, 4, 4, 4, 3, 3, 5, 4, 3, 5, 5, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 2, 5, 4, 4, 4, 2, 4, 5, 5, 5, 3, 4, 2, 4, 5, 3, 5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 2, 3, 2, 4, 5, 1, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 1, 4, 5, 5, 5], "6002": [5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 1, 4, 4, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 1, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 2, 3, 4, 4, 3, 2, 3, 4, 2, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 2, 4, 4, 5, 5, 5, 1, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 3, 5, 3, 5, 2, 5, 5, 5, 5, 5, 3, 4, 1, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 3, 4, 2, 5, 5, 4, 5, 2, 5, 5, 5, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 1, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 2, 5, 4, 5, 5, 5, 4, 4, 4, 1, 2, 5, 3, 5, 2, 4], "5071": [5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4], "5153": [1, 1, 1, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 2, 2, 2, 2, 4, 4, 4, 2, 4, 3, 2, 2, 4, 3, 4, 3, 4, 3, 2, 5, 5, 3, 3, 4, 3, 1, 3, 3, 4, 3, 3, 2, 1, 4, 3, 3, 2, 3, 3, 1, 3, 4, 3, 3, 3, 3, 5, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 5, 4, 3, 4, 2, 3, 4, 3, 4, 2, 3, 5, 5, 3, 5, 3, 2, 5, 5, 4, 2, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 5, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 1, 3, 3, 3, 4, 4, 3, 5, 3, 2, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 2, 4, 4, 2, 3, 3, 5, 4, 3, 5, 2, 3, 1, 3, 4, 3, 2, 5, 4, 3, 3, 4, 3, 3, 4, 4, 2, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 2, 5, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 5, 4, 2, 2, 3, 3, 3, 4, 3, 4, 2, 5, 4, 2, 4, 2, 3, 5, 4, 3, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 2, 4, 4, 2, 3, 4, 4, 2, 4, 3, 4, 3, 4, 5, 2, 2, 3, 4, 4, 3, 2, 4, 1, 3, 4, 4, 2, 3, 4, 4, 3, 5, 3, 5, 3, 2, 4, 3, 1, 3, 4, 4, 4, 3, 1, 4, 3, 4, 3, 2, 1, 3, 4, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 2, 4, 2, 2, 3, 3, 3, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 2, 4, 4, 2, 4, 4, 4, 3, 5, 4, 2, 4, 5, 2, 3, 2, 2, 2, 3, 2, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 3, 5, 3, 2, 3, 4, 4, 2, 3, 3, 5, 4, 2, 4, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 4, 1, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 2, 3, 4, 4, 2, 3, 5, 4, 2, 3, 2, 4, 5, 4, 5, 3, 4, 2, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 3, 3, 2, 4, 5, 4, 5, 3, 3, 2, 5, 3, 5, 3, 4, 2, 2, 3, 2, 5, 3], "6021": [4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 2, 4, 3, 3, 3, 2, 5, 3, 5, 5, 4, 1, 2, 2, 4, 3, 4, 1, 3, 3, 4, 4, 3, 5, 5, 4, 5, 3, 3, 3, 1, 3, 4, 4, 2, 4, 3, 2, 4, 4, 4, 3, 4, 3, 2, 4, 3, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 3, 5, 1, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 2, 2, 4, 4, 4, 3, 3, 3, 1, 5, 3, 3, 2, 5, 4, 4, 3, 4, 2, 3], "4593": [1, 3, 3, 4, 2, 3, 3, 4, 2, 2, 5, 4, 4, 2, 2, 4, 3, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 3, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 4, 5, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 4, 3, 3, 5, 3, 4, 2, 2, 4, 4, 3, 5, 5, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 5, 3, 2, 5, 3, 3, 4, 4, 4, 5, 4, 4, 2, 2, 3, 4, 3, 4, 3, 3, 2, 1, 3, 4, 3, 5, 3, 4, 4, 1, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 4, 1, 5, 3, 3, 3, 3, 3, 5, 5, 3, 2, 3, 3, 3, 4, 4, 2, 5, 4, 2, 3, 3, 4, 4, 1, 3, 4, 3, 4, 3], "2367": [5, 3, 4, 3, 3, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 1, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 5, 4], "1308": [3, 5, 2, 4, 4, 5, 4, 4, 3, 4, 4, 2, 5, 3, 4, 3, 5, 5, 1, 4, 3, 4, 5, 5, 4, 3, 3, 5, 4, 5, 2, 5, 4, 5, 2, 4, 3, 3, 5, 2, 3, 4, 2, 4, 4, 2, 5, 4, 2, 3, 3, 5, 3, 2, 4, 5, 4, 5], "1161": [5, 5, 5, 4, 5, 2, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 5, 3, 4, 2, 5, 5, 5, 1, 4, 5, 2, 3, 1, 5, 3, 3, 5, 3, 2, 4, 3, 3, 4, 2, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 4, 2, 3, 5, 4, 5, 5, 3, 5, 3, 5, 4], "5629": [4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5], "6036": [3, 3, 2, 3, 2, 5, 2, 3, 3, 3, 5, 3, 3, 4, 4, 3, 5, 5, 3, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 2, 5, 4, 2, 3, 3, 2, 4, 3, 5, 3, 2, 5, 4, 3, 3, 3, 2, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 2, 3, 5, 5, 3, 4, 4, 3, 2, 3, 5, 4, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 1, 3, 3, 2, 3, 2, 1, 2, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 3, 2, 3, 4, 4, 5, 2, 2, 4, 4, 3, 2, 2, 3, 1, 4, 4, 3, 3, 4, 4, 5, 3, 2, 5, 4, 3, 3, 5, 3, 4, 1, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 5, 5, 3, 2, 5, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 2, 5, 5, 5, 5, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 4, 2, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3, 5, 5, 4, 3, 3, 3, 4, 5, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 2, 3, 1, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 5, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 2, 3, 3, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 5, 3, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 3, 2, 2, 1, 1, 4, 3, 4, 2, 2, 4, 4, 4, 3, 4, 3, 3, 3, 1, 2, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 2, 4, 4, 2, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 5, 1, 4, 5, 5, 4, 3, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 1, 3, 4, 4, 2, 2, 3, 3, 1, 2, 5, 3, 4, 2, 2, 3, 3, 2, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 4, 5, 4, 4, 5, 2, 2, 1, 3, 5, 4, 2, 2, 3, 2, 3, 3, 2, 4, 4, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 4, 5, 4, 3, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 1, 3, 2, 5, 4, 2, 3, 3, 2, 4, 4, 3, 2, 2, 3, 3, 2, 2, 4, 3, 4, 4, 2, 3, 2, 2, 3, 3, 4, 2, 4, 3, 1, 5, 2, 4, 3, 4, 3, 5, 3, 4, 3, 4, 2, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 2, 3, 5, 4, 4, 3, 3, 2, 3, 4, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 3, 4, 4, 2, 4, 4, 4, 3, 5, 4, 3, 2, 4, 4, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 3, 3, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3], "4324": [5, 5, 4, 1, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 1, 4, 4, 4, 5, 5], "3431": [4, 5, 3, 3, 5, 3, 3, 5, 4, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 5, 5, 4, 2, 2, 3, 3, 4, 3, 3, 1, 4, 5, 4, 1, 2, 2, 2, 4, 4], "1833": [4, 3, 5, 2, 3, 1, 3, 4, 4, 3, 4, 3, 4, 1, 3, 4, 3, 3, 2, 3, 2, 5, 1, 4, 4, 4, 4, 3, 5, 5, 4, 2, 3, 3, 5, 4, 4, 4, 1, 3, 4, 2, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 2, 4, 3, 4, 5, 5, 3, 1, 5, 4, 4], "2685": [2, 4, 5, 2, 4, 3, 4, 3, 3, 5, 4, 2, 5, 3, 3, 4, 4, 5, 4, 2, 4, 5, 4, 3, 2, 5, 3, 4, 5, 3, 4, 5, 5, 3, 4, 1, 4, 5, 5, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 3, 3, 2, 2, 4, 5, 3, 3, 2, 2, 4, 4, 5, 2, 4, 5, 2, 3, 4, 4, 3, 5, 4, 3, 5, 4, 5, 2, 4, 4, 3, 2, 2, 5, 2, 2, 2, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 2, 4, 3, 3, 5, 2, 4, 3, 4, 4, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 3, 2, 5, 3, 4, 4, 4, 3, 5, 4, 5, 2, 4, 3, 2, 4, 5, 3, 5, 2, 3, 2, 2, 5, 3, 5, 5, 4, 4, 2, 4, 3, 3, 2, 4, 2, 4, 1, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 5, 5], "458": [5, 3, 3, 3, 5, 3, 4, 4, 4, 5, 3, 5, 3, 4, 3, 3, 3, 3, 3, 5, 3, 5, 5, 2, 3, 4, 2, 4, 4, 4, 5, 3, 5, 2, 1, 3, 4], "5476": [5, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5], "4297": [4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 4, 1, 5, 5, 4, 5, 4], "5169": [4, 5, 4, 4, 4, 3, 5, 3, 3, 4, 3, 5, 2, 1, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 4, 2, 4, 5, 4, 5, 2, 4, 3, 4, 2, 5, 2, 3, 5, 2, 4, 5, 4, 4, 5, 1, 4, 5, 3, 4, 2, 3, 2, 4, 4, 1, 2, 4, 4, 3, 3, 4, 5, 4, 4, 2, 1, 5, 4, 4, 5, 4, 4, 4, 5, 5, 2, 4, 4, 5], "3565": [3, 2, 2, 4, 3, 5, 4, 2, 4, 4, 4, 3, 2, 3, 4, 3, 2, 4, 3, 4, 2, 2, 3, 5, 5, 5, 4, 5, 1, 5, 1, 4, 3, 1, 2, 3, 4, 3, 3, 4, 4, 4, 3, 1, 5, 2, 3, 3, 3, 4, 2, 4, 4, 2, 2, 3, 4, 4, 5, 3, 3, 3, 3, 5, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 1, 3, 2, 5, 4, 4, 4, 3, 1, 3, 5, 3, 2, 4, 4, 3, 2, 3, 3, 5, 2, 4, 1, 5, 4, 4, 3, 4, 1, 3, 2], "4061": [3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 2, 4, 1, 4, 4, 2, 3, 4, 2, 5, 5, 2, 4, 5, 4, 1, 4, 2, 4, 3, 3, 3, 4], "2320": [4, 3, 4, 3, 4, 4, 2, 3, 4, 3, 4, 4, 2, 4, 4, 2, 4, 4, 3, 3, 1, 4, 2, 3, 3, 4, 3, 3, 4, 4, 2, 3, 2, 2, 4, 2, 4, 3, 1, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3], "1515": [4, 4, 4, 4, 5, 4, 4, 2, 4, 1, 2, 4, 5, 4, 3, 4, 3, 4, 5, 3], "2558": [5, 4, 4, 5, 2, 4, 4, 4, 2, 3, 4, 5, 1, 4, 4, 4, 4, 4, 4, 4, 1, 3, 1, 2, 5, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4], "5002": [3, 3, 4, 4, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 2, 4, 2, 2, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 1, 3, 2, 3, 2, 3, 1, 4, 2, 3, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 3, 3, 3, 4, 3, 3, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 3, 3, 2, 4, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 2, 2, 4, 3, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 4, 3, 5, 5, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 1, 5, 4, 2, 3, 2, 3, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 1, 2, 3, 3, 3], "387": [3, 5, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 3, 4, 2, 5, 3, 4, 2, 5, 3, 4, 5, 1, 4, 3, 5, 5, 4, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4], "1314": [3, 1, 1, 3, 4, 1, 1, 4, 1, 4, 3, 2, 1, 1, 1, 2, 1, 1, 1, 3, 5, 1, 1, 1, 1, 5, 2, 1, 1, 5, 1, 1, 4, 4, 5, 2, 4, 4, 1, 2, 4, 1, 4, 1, 5, 4, 2, 3, 5, 4, 3, 3, 1, 3, 1, 5, 2, 1, 4, 5, 1, 3, 4, 4, 1, 5, 3, 4, 4, 1, 4, 4, 3, 4, 3, 3, 1, 1, 4, 5, 5, 5, 1, 1, 3, 5, 2, 1, 1, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 1, 1, 2, 1, 4, 5, 1, 4, 3, 2, 5, 3, 1, 1, 1, 1, 3, 1, 4, 3, 4, 5, 4, 3, 3, 3, 5, 4, 5, 3, 4, 4, 5, 3, 1, 1, 5, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 1, 1, 5, 5, 1, 4, 3, 3, 3, 4, 3, 1, 1, 4, 3, 1, 3, 4, 1, 3, 1, 1, 5, 2, 5, 1, 1, 5], "623": [4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 2, 4, 4, 5, 2, 3, 4, 5, 4, 5, 5, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 3], "3253": [4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 2, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 4, 5, 2, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 2, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 2, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 4], "4181": [2, 3, 3, 3, 3, 4, 4, 1, 3, 3, 2, 5, 1, 2, 3, 3, 3, 1, 3, 2, 4, 4, 2, 4, 5, 2, 5, 3, 5, 4, 4, 3, 4, 3, 1, 4, 2, 4, 2, 3, 2, 3, 3, 3, 4, 4, 2, 5, 1, 3, 2, 4, 2, 1, 3, 3, 1, 3, 2, 5, 4, 2, 4, 3, 5, 3, 3, 5, 3, 4, 3, 1, 3, 1, 4], "5527": [2, 4, 5, 4, 3, 1, 2, 5, 3, 3, 4, 5, 3, 2, 4, 3, 4, 4, 5, 5, 5, 2, 2, 4, 2], "1159": [3, 1, 4, 1, 4, 3, 2, 3, 1, 4, 2, 3, 2, 3, 3, 2, 1, 1, 1, 3, 2, 1, 2, 2, 3, 5, 3, 3, 4, 1, 3, 3, 3, 3, 3, 5, 4, 3, 2, 2, 3, 1, 2, 2, 3, 3, 1, 3, 2, 1, 1, 2, 4, 3, 3, 2, 1, 3, 3, 4, 3, 2, 2, 3, 1, 3, 3, 4, 3, 3, 4, 3, 2, 2, 1, 4, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 2, 3, 2], "330": [4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 2, 5, 5], "803": [3, 5, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 4, 5, 4, 3, 5, 5, 2, 3, 4, 3, 4, 3, 3, 5, 4], "4854": [5, 2, 4, 1, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 1, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 1, 1, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 1, 3, 4, 4, 4, 4, 1, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 5, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 2, 5, 4, 4, 3, 4, 4, 4], "2337": [5, 4, 4, 2, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 3, 5, 3, 2, 4, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 4, 4], "5593": [4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 2, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 1, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5], "10": [4, 5, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 3, 3, 5, 5, 5, 3, 4, 5, 3, 5, 3, 4, 2, 4, 4, 4, 2, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 3, 4, 3, 3, 3, 5, 5, 5, 2, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 3, 5, 3, 4, 5, 3, 5, 5, 2, 5, 5, 4, 5, 3, 3, 5, 5, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 3, 5, 5, 5, 3, 3, 3, 5, 3, 4, 4, 5, 4, 3, 4, 5, 5, 3, 5, 5, 3, 3, 3, 3, 5, 2, 3, 4, 2, 3, 3, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 3, 2, 3, 4, 5, 5, 4, 5, 4, 2, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 3, 3, 4, 3, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 3, 5], "1567": [2, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 2, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 2, 5, 5, 2, 2, 3, 5, 4, 5, 2, 4, 2, 3, 4, 4, 5, 4, 4, 3, 2, 5, 3, 4, 3, 5, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 2, 4, 4], "5995": [5, 5, 5, 3, 3, 5, 2, 4, 3, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 2, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 1, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 1, 4, 5, 5, 4, 5, 3, 4, 3, 2, 5, 4, 2, 4, 3, 4, 3, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 5, 3, 2, 4, 1, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 5, 4], "316": [4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 2, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 3, 5, 5, 4], "2218": [5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 3, 5, 4, 1, 3, 4, 4, 5, 4, 4], "924": [4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4], "2893": [5, 3, 3, 5, 5, 2, 5, 5, 3, 2, 4, 4, 5, 2, 5, 3, 5, 5], "1356": [5, 3, 1, 1, 4, 1, 1, 5, 4, 5, 5, 1, 3, 1, 1, 2, 1, 1, 4, 1, 5, 1, 1, 1, 4, 1, 1, 1, 5, 5, 1, 5, 5, 5, 5, 1, 3, 4, 2, 4, 5, 1, 4, 1, 5, 1, 1, 2, 2, 2, 3, 1, 3, 3, 4, 1, 1, 3, 5, 1, 3, 3, 2, 1, 1, 4, 1, 5, 2, 4, 1, 4, 3, 1, 1, 1, 2, 4, 4, 2, 1, 1, 4, 1, 5, 5, 1, 5, 5, 2, 1, 4, 3, 3, 3, 1, 1, 1, 1, 3, 4, 2, 5, 4, 2, 4, 3, 3, 3, 5, 5, 5, 1, 3, 4, 1, 3, 1, 3, 5, 1, 4, 4, 3, 1, 1, 1, 4, 4, 1, 3, 3, 2, 5, 1, 5, 2, 1, 4, 3, 3, 1, 2, 3, 1, 2, 1, 1, 3, 1, 4, 1, 3, 1, 2, 2, 4, 3, 5, 3, 4, 5, 5, 5, 5, 1, 4, 5, 1, 4, 1, 4, 1, 5, 4, 1, 3, 3, 3, 1, 4, 1, 1, 1, 1, 4, 3, 5, 2, 5, 3, 5, 1, 3, 1, 3, 1, 1, 4, 2, 1, 5, 4, 3, 4, 1, 3, 3, 3, 1, 3, 2, 1, 1, 1, 5, 1, 1, 3, 3, 1, 5, 3, 5, 3, 3, 1, 1, 5, 2, 1, 1, 1, 1, 2, 3, 5, 3, 3, 1, 5, 1, 5, 5, 3, 5, 1, 2, 1, 1, 3, 3, 3, 5, 3, 1, 3, 3, 1, 2, 3, 3, 5, 4, 1, 5, 3, 2, 4, 3, 3, 2, 3, 5, 5, 1, 3, 3, 1, 5, 5, 3, 3, 2, 3, 3, 2, 3, 3, 3, 5, 3, 3, 4, 5, 1, 2, 4, 5, 5, 5, 3, 5, 1, 3, 2, 1, 3, 1, 3, 5, 3, 4, 1, 4, 3, 5, 3], "3078": [4, 1, 5, 5, 4, 5, 5, 5, 5, 2, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 3, 4, 4, 5, 5, 5, 1, 3], "1157": [5, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 4], "4085": [4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 5, 5, 4, 3, 4, 5, 4, 2, 3, 4, 4, 4, 4, 5, 5, 2, 3, 3, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 2, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 2, 4, 2, 4, 4, 3, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 3, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 1, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 1, 4, 4, 2, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 2, 3, 3, 3, 4, 4, 3, 4, 3, 1, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 2, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3, 2, 4, 2, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 1, 5, 2, 4, 3, 2, 4, 4, 4, 3, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 3, 4, 2, 5, 2, 3, 3, 4, 4, 4, 5, 2, 3, 4, 2, 5, 3, 4, 2, 3, 4, 3, 4, 4, 5, 3, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 1, 2, 3, 1, 4, 3, 4, 5, 3, 2, 1, 1, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 2, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 4, 5, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 5, 3, 4, 3, 4, 4], "1920": [4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 5, 4, 3, 3, 3, 3, 2, 2, 1, 4, 4, 4, 5, 3, 5, 4, 5, 3, 5, 4, 3, 4, 3, 4, 2, 2, 5, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 1, 4, 5, 1, 5, 4, 3, 2, 4, 3, 4, 3, 5, 4, 4, 1, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 5, 4, 2, 3, 3, 3, 4, 3, 3, 4, 4, 1, 5, 3, 4, 4, 4, 5, 4, 2, 2, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 2, 5, 1, 4, 2, 1, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 2, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 3, 2, 4, 2, 3, 4, 3, 1, 5, 3, 5, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 1, 3, 4, 5, 3, 5, 3, 3, 2, 3, 4, 4, 2, 2, 4, 4, 3, 4, 3, 5, 3, 3, 2, 4, 3, 4, 4, 1, 3, 3, 1, 1, 1, 3, 4, 4, 3, 5, 1, 4, 4, 5, 4, 2, 4, 2, 5, 2, 5, 4, 4, 2, 2, 2, 3, 1, 1, 4, 1, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 1, 4, 3, 4, 5, 4, 1, 3, 3, 3, 4, 4, 4, 1, 5, 3, 2, 2, 3, 3, 3, 3, 3, 4, 4, 1, 4, 4, 2, 2, 3, 2, 3, 4, 2, 4, 2, 4, 2, 2, 5, 5, 2, 3, 4, 2, 3, 3, 2, 2, 4, 2, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 4, 2, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 5, 3, 4, 4, 4, 1, 4, 5, 5, 1, 5, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 1, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 3, 2, 4, 2, 3, 1, 4, 2, 3, 4, 2, 4, 3, 5, 4, 4, 4, 2, 4, 3, 4, 2, 4, 3, 5, 4, 3, 4, 4, 4, 3, 2, 5, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 4, 5, 5, 3, 2, 5, 5, 3, 5, 3, 3, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 2, 1, 4, 2, 5, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 2], "1877": [5, 5, 3, 4, 4, 5, 5, 3, 3, 5, 4, 2, 5, 2], "5173": [4, 4, 2, 5, 4, 4, 3, 1, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 2, 4, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 1, 2, 4, 4, 3, 3, 3, 2, 5, 3, 4, 2, 4, 5, 2, 1, 3, 5, 3, 2, 3, 3, 4, 3, 4, 5, 3, 5, 4, 1, 3, 3], "3797": [4, 4, 2, 3, 3, 4, 4, 4, 5, 1, 3, 4, 4, 1, 2, 4, 5, 3, 5, 3, 2, 5, 4, 2, 4, 4, 5], "1514": [4, 5, 4, 2, 5, 5, 4, 3, 4, 5, 5, 4, 4, 2, 4, 4, 4, 3, 3, 2, 5, 4, 3, 5, 1, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 2, 2, 3, 5, 4, 3, 5, 3, 5, 5, 5, 3, 3, 5, 5, 1, 3, 5, 2, 4, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 4, 3, 3], "3161": [4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 2, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4], "5484": [4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 2, 5, 5, 5, 4, 4, 4], "5612": [4, 4, 1, 4, 2, 3, 5, 4, 2, 4, 5, 4, 5, 3, 3, 2, 4], "4470": [3, 3, 4, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 5, 1, 1, 5, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 3, 3, 5, 4, 2, 3, 5, 3, 3, 5, 5, 5, 2, 5, 4, 5, 3, 3, 3, 4, 5, 5, 3, 4, 3, 3, 2, 5, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 3, 5, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 3, 4, 4, 4, 3, 5, 3, 5, 5, 4, 3, 3, 5, 5, 3, 5, 5, 4, 2, 5, 4, 5, 3, 1, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 2, 5, 5, 5, 4, 4, 4, 1, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 2, 4, 3, 4, 2, 4, 5, 3, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3], "2476": [5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 3, 4, 3, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 5, 1, 4, 3, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 2, 4, 4, 5, 3, 4, 4, 5], "3675": [4, 3, 3, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 3, 2, 3, 5, 4, 4, 5, 5, 4, 3, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 2, 3, 5, 3, 4, 5, 3, 3, 3, 3, 2, 5, 4, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 2, 4, 5, 5, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 2, 2, 3, 4, 3, 3, 3, 3, 1, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 1, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 5, 3, 3, 3, 3, 4, 4, 4, 5, 3, 4, 2, 3, 4, 3, 2, 4, 2, 4, 2, 5, 4, 5, 2, 4, 4, 4, 1, 3, 3, 5, 4, 3, 2, 4, 3, 2, 3, 3, 4, 4, 4, 4, 2, 3, 3, 3, 3, 5, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 3, 4, 3, 5, 3, 4, 3, 5, 3, 2, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 4, 5, 3, 2, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 4, 3, 5, 4, 4, 3, 2, 3, 3, 2, 3, 5, 4, 4, 4, 5, 3, 3, 2, 4, 3, 4, 4, 3, 1, 4, 4, 5, 2, 3, 1, 2, 4, 4, 2, 3, 2, 4, 3, 4, 4, 4, 4, 5, 4, 3, 2, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 4, 2, 3, 5, 3, 5, 3, 2, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 2, 2, 3, 4, 4, 4, 2, 4, 4, 3, 4, 1, 3, 3, 4, 3, 4, 4, 3, 2, 4, 4, 2, 3, 5, 3, 3, 4, 3, 5, 4, 5, 3, 4, 3, 4, 3, 3, 3, 5, 2, 4, 4, 3, 5, 4, 4, 2, 2, 4, 4, 4, 4, 4, 5, 2, 4, 4, 3, 3, 4, 3, 2, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 5, 2, 4, 3, 4, 3, 5, 4, 2, 4, 3, 3, 4, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 2, 3, 2, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 3, 3, 4, 5, 2, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 3, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 2, 3, 5, 4, 1, 5, 4, 5, 3, 4, 5, 4, 3, 3, 2, 2, 2, 4, 4, 3, 5, 3, 3, 3, 4, 3, 4, 4, 1, 4, 4, 4, 5, 5, 4, 4, 4, 4, 2, 4, 3, 3, 4, 5, 3, 4, 2, 4, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 3, 5, 2, 3, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 2, 3, 4, 3, 5, 3, 2, 2, 3, 4, 4, 2, 4, 4, 2, 4], "5798": [4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 1, 3, 2, 3, 5, 4, 4, 3, 4, 4, 2, 4, 2, 5, 5, 3, 4, 4, 4, 5, 2, 4, 5, 3, 4, 3, 4, 5, 5, 2, 5, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 2, 5, 3, 5, 2, 5, 5, 2, 5, 3, 5, 1, 4, 4, 4, 5, 2, 2, 3, 5, 4, 3, 4, 4, 4, 1], "356": [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4], "443": [4, 5, 3, 5, 4, 2, 5, 4, 3, 4, 4, 3, 4, 2, 4, 3, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 2], "1194": [2, 1, 2, 4, 2, 5, 3, 3, 4, 3, 2, 3, 4, 4, 4, 5, 4, 3, 2, 5, 5, 2, 4, 2, 5, 4, 4, 2, 3, 5, 3, 4, 4, 3, 3, 3, 1, 4, 4, 2, 2, 4, 1, 2, 3, 4, 3, 4, 5, 3, 3, 4, 2, 3, 2, 4, 3, 4, 4, 5, 3, 5, 4, 3, 3, 2, 3, 3, 3, 4, 3, 5, 1, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 1, 5, 3, 4, 3, 3, 5, 5, 2, 4, 2, 1, 4, 2, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 3, 3, 3, 2, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 3, 4, 2, 3, 2, 3, 2, 3, 4, 5, 3, 4, 4, 2, 2, 4, 3, 4, 4, 5, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 3, 2, 4, 4, 3, 4, 5, 2, 3, 5, 3, 2, 4, 3, 4, 4, 3, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 2, 5, 1, 3, 5, 4, 3, 1, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 2, 3, 4, 3, 3, 2, 4, 4, 3, 3, 5, 4, 3, 2, 1, 1, 5, 4, 4, 4, 5, 4, 2, 5, 4, 3, 1, 3, 3, 4, 4, 2, 4, 4, 2, 3, 3, 3, 2, 1, 1, 4, 2, 4, 5, 5, 4, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 2, 3, 1, 5, 3, 4, 2, 4, 3, 4, 5, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 2, 3, 1, 3, 4, 2, 4, 3, 4, 5, 5, 4, 2, 4, 4, 4, 3, 2, 4, 1, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 1, 4, 2, 3, 3, 4, 2, 4, 3, 4, 4, 4, 2, 5, 5, 2, 4, 3, 4, 4, 4, 2, 4, 3, 4, 2, 5, 2, 2, 3, 2, 4, 4, 2, 3, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 2, 4, 3, 2, 4, 4, 3, 2, 2, 3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 2, 5, 5, 3, 4, 4, 3, 4, 1, 1, 3, 5, 4, 3, 2, 2, 4, 5, 3, 1, 3, 2, 3, 4, 3, 2, 4, 3, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 5, 4, 3, 4, 2, 2, 4, 3, 2, 2, 4, 3, 5, 5, 3, 4, 5, 2, 3, 4, 3, 2, 3, 4, 2, 4, 2, 3, 4, 4], "374": [4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 3, 5, 5, 4, 5, 5, 3, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4], "4217": [4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 2, 5, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 1, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4], "4642": [5, 4, 3, 2, 2, 3, 5, 5, 4, 5, 5, 4, 5, 4, 2, 5, 5, 2, 4, 3, 5, 1, 4, 1, 4, 4, 1, 4, 3], "3968": [4, 5, 5, 4, 4, 3, 3, 4, 4, 3, 5, 3, 5, 5, 5, 4, 2, 3, 3, 3, 2, 4, 2, 5, 3, 4, 4, 4, 3, 5, 3, 2, 3, 3, 5, 4, 4, 4, 3, 1, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 4, 4, 3, 5, 4, 5, 3, 2, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 2], "218": [4, 2, 2, 4, 5, 5, 1, 3, 2, 4, 3, 3, 3, 2, 5, 5, 4, 4, 4, 3, 2, 3, 2, 3, 2, 5, 2, 5], "1388": [5, 4, 4, 5, 2, 5, 5, 4, 3, 4, 3, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 5, 4, 4], "5542": [5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "5336": [3, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5], "4491": [1, 4, 4, 4, 3, 3, 4, 1, 5, 4, 3, 4, 2, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 5, 4, 1, 4, 1, 4, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 1, 3, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 1, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 1, 3, 2, 4, 4, 5, 5, 5, 2, 3, 3, 3, 5, 4, 3, 4, 3, 3, 5, 1, 3, 4, 4, 5, 1, 4, 2, 4, 4, 3, 4, 2, 3, 1, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 4, 4, 5, 3, 2, 4, 3, 3, 5, 5, 2, 2, 3, 1], "5253": [4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 2, 5, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 2, 5, 4, 4, 5, 4, 5, 3, 2, 4, 4, 1, 5, 4, 4, 2, 3, 2, 3, 5, 5, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 2, 4, 4, 2, 2, 2, 4, 5, 3, 5, 5, 5, 4, 5, 3, 3, 3, 2, 4, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 2, 4, 2, 5], "5162": [4, 5, 4, 3, 3, 3, 3, 4, 2, 3, 3, 5, 4, 4, 4, 4, 4, 2, 5, 2, 4, 3, 3, 3, 5, 2, 2, 4, 5, 4, 3], "1056": [3, 5, 4, 1, 5, 4, 1, 2, 3, 1, 4, 4, 2, 3, 5, 4, 3, 2, 3, 3, 1, 3, 5, 4, 3, 3, 5, 3, 1, 5, 3, 5, 5, 5, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 4, 4, 4, 1, 5, 4, 5, 5, 5, 3], "52": [1, 5, 5, 4, 5, 3, 4, 3, 4, 1, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 5, 1, 2, 3, 4, 4, 3, 2, 4, 3, 4, 3, 5, 3, 2, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 3], "5611": [4, 5, 4, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 2, 4, 5, 4, 5, 5, 3], "2478": [3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 2, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 3, 4, 2, 3, 5, 5, 2, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 2, 5, 3, 2, 4, 3, 3, 5, 3, 4, 3, 4, 5, 5, 3, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 1, 4, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 2, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 2, 5, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5], "5913": [5, 5, 5, 5, 4, 4, 4, 2, 4, 4, 4, 2, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 4, 3, 2, 5, 3, 5, 3, 3, 4, 3, 1, 5, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 4, 2, 5, 5, 5, 5, 3, 3], "3896": [4, 1, 3, 5, 4, 4, 4, 4, 4, 2, 5, 3, 4, 1, 2, 2, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 2, 2, 4, 4, 2, 2, 4, 2, 4, 3, 3, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 3, 4, 3, 4, 1, 2, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 2, 1, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 5, 2, 3, 3, 4, 4, 3, 4, 1, 5, 4, 1, 5, 5, 1, 4, 1], "177": [4, 3, 4, 5, 4, 5, 2, 5, 3, 4, 4, 4, 5, 3, 5, 5, 3, 4, 5, 3, 4, 3, 5, 5, 5, 3, 2, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3], "1905": [3, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 3, 5, 5, 5, 4, 4, 3, 4, 5, 3], "608": [3, 3, 5, 4, 3, 3, 3, 5, 2, 3, 2, 3, 3, 3, 2, 2, 2, 3, 5, 2, 5, 3, 3, 3, 3, 1, 4, 2, 5, 3, 3, 4, 5, 3, 3, 2, 2, 3, 2, 2, 3, 5, 3, 3, 3, 2, 3, 3, 2, 3, 5, 3, 4, 3, 2, 3, 3, 3, 1, 4, 4, 4, 3, 2, 4, 2, 4, 2, 4, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 2, 5, 3, 3, 5, 1, 3, 3, 5, 1, 4, 2, 4, 3, 3, 2, 3, 3, 1, 3, 3, 3, 3, 1, 2, 5, 3, 5, 5, 4, 3, 5, 5, 3, 3], "3636": [4, 5, 3, 5, 2, 5, 4, 4, 3, 4, 5, 3, 2, 1, 4, 3, 5, 4, 3, 3, 4, 5], "287": [3, 4, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3], "341": [5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5], "527": [5, 5, 5, 5, 5, 1, 5, 1, 4, 5, 5, 4, 1, 5, 5, 4, 4], "2536": [4, 4, 5, 4, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 2, 3, 3, 4, 4, 3, 3, 1, 4, 3, 3, 3, 3, 4, 3], "3443": [5, 5, 3, 3, 5, 5, 5, 5, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3], "5861": [5, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 1, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 5, 5, 4, 1, 4, 3, 4, 5, 5, 3, 1, 3, 3, 3, 3, 3, 5, 4, 2, 5, 4, 3, 3, 3, 5, 3, 1, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 5, 1, 3, 5, 4, 3, 4, 4, 3, 3, 3, 2, 3, 5, 5, 2, 4, 4, 5, 2, 3, 5, 3, 5, 4, 5, 3, 4, 5, 3, 2, 3, 3, 5, 4, 5, 4, 5, 5, 4, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 4, 3, 5, 5, 2, 3, 5, 4, 3, 3, 5, 4, 5, 4, 2, 4, 3, 3, 2, 4, 5, 5, 3, 4, 3, 5, 3, 5, 5, 3, 4], "4284": [3, 3, 2, 5, 1, 3, 1, 3, 1, 2, 3, 2, 3, 1, 2, 3, 1, 4, 3, 1, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 1, 3, 4, 2, 4, 4, 4, 4, 3, 4, 1, 4, 3, 3, 3, 3, 1, 4, 2, 3, 1, 3, 3, 4, 2, 2, 3, 4, 3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 2, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 3, 1, 1, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 3, 2, 4, 3, 2, 3, 2, 3], "1492": [4, 1, 3, 2, 3, 5, 1, 5, 5, 1, 5, 1, 1, 2, 3, 4, 5, 4, 1, 1, 1, 1, 5, 1, 4, 1, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 1, 5, 5, 1, 4, 2, 4, 1, 5, 1, 4, 1, 1, 4, 2, 2, 1, 4, 5, 2, 3, 1, 3, 4, 4, 5, 5, 5, 5, 4, 1, 4, 3, 4, 5, 4, 5, 2, 4, 5, 2, 1, 4, 5, 5], "867": [4, 2, 5, 3, 5, 4, 5, 5, 4, 5, 3, 5, 3, 5, 3, 2, 5, 4, 4, 4, 4, 3, 2, 4, 2, 5, 4, 2, 3, 4, 1, 3, 5, 5], "467": [1, 4, 4, 4, 4, 2, 2, 5, 3, 1, 5, 3, 4, 1, 5, 5, 3, 5, 3, 1, 4, 2, 5, 3, 1, 5, 4, 4, 1, 5, 5, 5, 4, 5, 3, 4, 1, 5, 4, 3, 3, 3, 3, 5, 5, 1, 2, 3, 1, 3, 5, 3, 1, 5, 3], "1716": [3, 5, 5, 2, 4, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 2, 4, 3, 2, 4, 1, 5, 1, 1, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 2, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 2, 1, 1, 4, 4, 3, 3, 4, 4, 5, 3, 5, 5, 5, 3, 5, 3, 4, 3, 5, 4, 1, 4, 1, 4, 4, 5, 3, 5, 4, 2], "5346": [5, 3, 5, 5, 5, 4, 5, 4, 4, 2, 4, 5, 4, 3, 2, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 2, 5, 3, 3, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 2], "479": [4, 2, 5, 3, 5, 2, 4, 5, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 2, 4, 2, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 5, 1, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 3, 4, 2, 5, 3, 4, 4, 2, 5, 5], "3369": [3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4], "4311": [2, 2, 3, 5, 4, 2, 2, 3, 3, 1, 2, 4, 3, 3, 4, 2, 2, 2, 4, 5, 3, 5, 4, 2, 3, 3, 3, 3, 1, 2, 3, 4, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 5, 4, 2, 4, 2, 3, 3, 4, 3, 3, 5, 3, 3, 3, 1, 3, 2, 4, 3, 3, 5, 3, 4, 2, 2, 2, 3, 4, 3, 2, 1, 5, 4, 3, 3, 3, 3, 3, 4, 4, 1, 3, 2, 3], "2846": [4, 5, 3, 3, 4, 4, 4, 5, 5, 2, 4, 5, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 2, 3, 5, 3, 3, 4, 5, 3, 3, 4, 3, 2, 1, 2, 3, 2, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 3, 2, 4, 3, 4, 4, 2, 4, 5, 3], "4011": [5, 5, 5, 2, 3, 1, 4, 3, 1, 4, 3, 4, 4, 4, 5, 3, 1, 5, 5, 3, 3, 5, 2, 3, 4, 4, 1, 2, 1, 5, 5, 5, 5, 4, 3, 1, 3, 5, 2, 3, 5, 1, 5, 2, 5, 2, 5, 4, 3], "4958": [5, 2, 4, 3, 5, 4, 3, 5, 5, 3, 3, 5, 5, 2, 5, 5, 4, 5, 1, 4, 5, 4, 1, 3, 3, 3, 4, 5, 2, 3, 4, 3, 4, 3, 5, 3, 4, 2, 4, 5, 2, 3, 3, 5, 2, 4, 1, 4, 5, 5, 3, 3, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 5, 3, 1, 3, 4, 1, 5, 5, 2, 3, 1, 1, 5, 3, 5, 4, 3, 5, 1, 5, 5, 3, 1, 5, 2, 5, 1, 5, 3, 2, 5, 5, 5, 3, 4, 2, 5, 5, 4, 4, 3, 5, 3, 5, 5, 3, 4, 2, 4, 3, 5, 5, 5, 4, 4, 3, 5, 1, 5, 3, 4, 4, 4, 1, 2, 5, 5, 3, 1, 2, 5, 3, 3, 1, 1, 1, 5, 4, 4, 5, 5, 3, 4, 3, 2, 4, 4, 3, 5, 4, 5, 3, 4, 5, 3, 4, 4, 5, 3, 4, 1, 5, 3, 4, 4, 5, 1, 2, 5, 4, 4, 4, 3, 5, 3, 5, 4, 3, 4, 5, 2, 2, 3, 4, 3, 4, 5, 3, 3, 2, 3, 3, 3, 3, 4, 5, 4, 5, 3, 3, 4, 2, 4, 3, 3, 5, 2, 3, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 2, 4, 5, 2, 4, 4, 1, 4, 3, 3, 4, 5, 5, 3, 5, 2, 5, 5, 5, 5, 5, 1, 3, 4, 2, 3, 4, 2, 3, 5, 5, 3, 5, 3, 4, 2, 1, 3, 3, 1, 5, 4, 2, 5, 5, 4, 2, 5, 4, 3, 5, 2, 2, 3, 3, 2, 4, 2, 3, 4, 2, 5, 4, 3, 2, 1, 2, 5, 4, 1, 1, 4, 3, 2, 3, 4, 3, 4, 4, 4, 2, 3, 2, 4, 5, 3, 4, 4, 2, 3, 3, 5, 1, 2, 2, 4, 2, 5, 5, 2, 5, 1, 5, 4, 2, 3, 2, 4, 2, 1, 2, 1, 5, 3, 3, 1, 2, 5, 1, 3, 3, 4, 4, 5, 5, 4, 1, 2, 5, 4, 5, 5, 5, 5, 3, 4, 2, 1, 4, 1, 2, 3, 3, 4, 3, 5, 2, 2, 3, 2, 3, 1, 2, 5, 5, 1, 4, 3, 1, 2, 1, 2, 5, 3, 4, 2, 1, 5, 3], "4502": [4, 3, 3, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 5, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 3, 4, 5, 4, 5, 2, 3, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4], "1457": [5, 5, 3, 3, 4, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 2, 3, 2, 3, 4, 5, 4, 4, 1, 4, 5, 4, 4, 4, 5, 4, 1, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 2, 5, 4, 4, 2, 4, 4, 3, 3, 5, 5, 4, 3, 4, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 1, 4, 4, 4, 4, 5, 2, 1, 3, 4, 1, 3, 5, 3, 4, 4, 2, 5, 2, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 1, 4, 3, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 5, 3, 3, 4, 3, 4, 4, 2, 5, 3, 4, 3, 3, 2, 5, 4, 2, 3, 2, 4, 5, 4, 5, 4, 4, 2, 5, 3, 4, 5, 5, 5, 5, 3, 4, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 1, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 5, 3], "3235": [5, 4, 4, 4, 4], "2925": [5, 4, 4, 5, 3, 3, 5, 3, 4], "1937": [4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 2, 4, 4, 5, 5, 1, 3, 5, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 3, 5, 4, 3, 4, 5, 3, 2, 3, 3, 3, 4, 1, 3, 2, 3, 3, 3, 2, 3, 4, 1, 2, 3, 5, 1, 3, 4, 4, 4, 3, 3, 5, 2, 4, 3, 3, 4, 2, 3, 1, 3, 2, 1, 3, 4, 5, 3, 2, 2, 3, 4, 2, 2, 5, 4, 3, 4, 2, 5, 2, 1, 1, 4, 4, 5, 5, 2, 1, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 5, 3, 2, 1, 4, 4, 1, 3, 5, 4, 5, 4, 4, 2, 2, 4, 3, 5, 3, 3, 4, 2, 4, 5, 4, 4, 3, 4, 2, 5, 5, 3, 3, 4, 2, 3, 2, 2, 4, 5, 2, 2, 3, 1, 3, 3, 3, 4, 5, 2, 3, 3, 2, 3, 1, 3, 3, 2, 2, 4, 1, 3, 3, 3, 1, 4, 2, 4, 2, 3, 4, 4, 3, 2, 4, 2, 4, 3, 3, 2, 5, 5, 4, 3, 2, 1, 4, 4, 2, 4, 1, 2, 1, 2, 2, 3, 3, 4, 4, 2, 1, 4, 2, 4, 2, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 2, 4, 3, 5, 4, 2, 3, 3, 3, 4, 1, 4, 4, 2, 2, 3, 5, 2, 3, 5, 3, 4, 5, 3, 3, 1, 3, 4, 3, 3, 5, 5, 4, 5, 4, 1, 1, 5, 4, 5, 4, 2, 2], "3056": [4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 2, 3, 3, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 5], "3959": [3, 2, 2, 5, 3], "2255": [4, 1, 4, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 1, 2, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 3, 3, 3, 4, 2, 5, 4, 1, 3, 4, 3, 4, 3, 2, 3, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 1, 4, 2, 4, 3, 5, 4, 3, 5, 4, 1, 4, 2, 1, 5, 4, 5, 5, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 1, 4, 3, 4, 4, 5, 2, 3, 4, 3, 4, 5, 3, 3, 4, 3, 4, 1, 4, 1, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 1, 4, 5, 3, 5, 1, 1, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 2, 4], "941": [5, 2, 3, 2, 4, 3, 2, 3, 1], "2225": [4, 3, 3, 5, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 5, 3, 1, 3, 3, 4, 5, 4, 4, 4, 3, 3, 2, 3, 3, 3, 5, 3, 5, 5, 5, 3, 3, 2, 5, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 5, 4, 5, 1, 1, 3, 2, 5, 3, 3, 5, 3, 4, 4, 4, 5, 3, 3, 2, 1, 4, 3, 4, 2, 4, 3, 1, 3, 4, 4, 3, 2, 2, 2, 3, 2, 3, 4, 3, 4, 2, 4, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 1, 3, 4, 4, 4, 3, 3, 1, 2, 3, 3, 3, 3, 4, 5, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 4, 5, 5, 5, 3, 3, 3, 2, 4, 2, 3, 5, 2, 3, 4, 4, 4, 4, 3, 4, 3, 2, 5, 3, 4, 2, 1, 3, 3, 3, 1, 3, 4, 1, 4, 1, 4, 2, 3, 3, 2, 3, 3, 3, 4, 4, 2, 4, 4, 4, 5, 4, 3, 3, 4, 4, 2, 4, 2, 3, 4, 3, 3, 3, 2, 5, 4, 2, 3, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 2, 4, 5, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 3, 1, 5, 3, 1, 1, 1, 3, 4, 1, 4, 2, 1, 5, 4, 3, 3, 3, 3, 5, 4, 5, 2, 5, 2, 2, 1, 3, 2, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 2, 2, 5, 5, 5, 4, 4, 4, 2, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 5, 2, 4, 1, 4, 4, 5, 4, 5, 4, 3, 4, 5, 1, 4, 5, 2, 4, 3, 5, 3, 3, 3, 2, 2, 3, 3, 5, 4, 3, 4, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 5, 3, 5, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 5, 3], "4329": [3, 4, 5, 5, 5, 1, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 4, 2, 2, 3, 4, 4, 4, 3, 5, 4, 4, 2, 2, 2, 4, 4, 4, 3, 3, 1, 4, 5, 5, 4, 5, 3, 4, 2, 5, 4, 2, 2, 4, 4, 4, 3, 3, 1, 3, 1, 3, 4, 1, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 1, 4, 4, 4, 2, 2, 4, 4, 5, 2, 4, 5, 2, 4, 1, 1, 4, 3, 3, 4, 3, 3, 2, 3, 4, 3, 5, 4, 4, 3, 3, 3, 1, 2, 1, 3, 5, 3, 3, 4, 3, 2, 4, 5, 4], "1747": [4, 2, 2, 2, 4, 3, 1, 4, 1, 3, 3, 3, 1, 1, 5, 1, 2, 1, 3, 3, 3, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 4, 1, 1, 1, 2, 2, 1, 2, 1, 3, 1, 1, 2, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 3, 4, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 3, 1, 3, 2, 2, 1, 2, 1, 3, 4, 2, 2, 3, 3, 3, 1, 1, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2], "3849": [3, 3, 4, 3, 3, 2, 2, 2, 3, 3, 2, 4, 4, 3, 4, 3, 2, 3, 4, 3, 3, 2, 3, 4, 4, 3, 4, 2, 4, 2, 4, 3, 4, 4, 3, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 2, 3, 3, 3, 3], "1038": [3, 4, 3, 4, 5, 5, 5, 2, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 5, 2, 4, 3, 5, 4, 2, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 1, 4, 4, 5, 4, 3, 2, 3, 3, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 2, 5, 5, 4, 5, 4, 4, 5, 4, 1, 4, 4, 1, 5], "2423": [4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 3, 3, 2, 5, 5, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4], "60": [1, 3, 4, 5, 2, 5, 4, 3, 1, 3, 5, 5, 3, 2, 4, 5, 3, 5, 5, 5, 5, 1, 2, 2, 3, 3, 3, 5, 1, 3, 4, 2, 2, 2, 1, 2, 4, 3, 3, 1, 4, 2, 3, 5, 5, 1, 2, 4, 3, 3, 4, 5, 4, 4, 5, 5], "2205": [3, 2, 3, 2, 3, 3, 2, 2, 4, 5, 4, 3, 5, 4, 4, 2, 3, 5, 3, 3, 2, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 5, 4, 3, 3, 4, 5, 4, 2, 3, 4, 2, 2, 3, 3, 3, 4, 2, 4, 2, 3, 3, 3, 5, 2, 2, 5, 3, 4, 4, 3, 2, 3, 3, 3, 2, 2, 3, 2, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 1, 3, 3, 3, 1, 3, 3, 2, 3, 5, 2, 3, 3, 3, 3, 2, 3, 4, 2, 5, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 5, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 2, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 4, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 5, 3, 3, 2, 3, 3, 3, 3, 1, 3, 2, 4, 3, 5, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 2, 4, 4, 2, 2, 3, 3, 2, 3, 5, 2, 4, 2, 3, 3, 3, 5, 5, 2, 4, 5, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 5, 2, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 4, 3, 3, 3, 2, 1, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 3, 3, 2, 3, 4, 2, 1, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 4, 3, 4, 3, 3, 4, 3, 3, 2, 5, 3, 3, 3, 3, 5, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 3, 4, 5, 3, 2, 4, 4, 4, 5, 2, 3, 3, 3, 2, 5, 3, 3, 5, 4, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 4, 3, 2, 5, 3, 2, 3, 4, 3, 3], "1916": [5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 5, 5, 3, 5, 3, 3, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 3, 3, 3, 4, 3, 5, 4, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 4, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 3, 5, 5, 5, 2, 5, 5, 4, 4, 5, 4, 2, 5, 3, 2, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 2, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 2, 3, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 5, 5, 3, 3, 5, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 2, 4, 4, 2, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 3, 3, 3, 3, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 3, 5, 3, 5, 4, 3, 5], "3633": [4, 4, 3, 5, 5, 4, 5, 5, 5, 3, 3, 4, 4, 5, 4, 3, 5, 2], "5843": [3, 3, 1, 3, 4, 1, 1, 2, 3, 2, 5, 1, 2, 3, 3, 4, 4, 3, 3, 4, 3, 2, 1, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 1, 3, 3, 3, 3, 2, 2, 2, 4, 1, 2, 4, 3, 3, 1, 4, 1, 1, 3, 3, 3, 3, 3, 1, 2, 2, 1, 1, 5, 2, 3, 2, 5, 2, 3, 3, 4, 2, 3, 3, 2, 1, 4, 4, 3, 1, 2, 1, 2, 4, 2, 1, 2, 3, 1, 3, 2, 4, 3, 3, 1, 5, 4, 1, 3, 4, 3, 1, 3, 3, 1, 1, 3, 5, 2, 2, 1, 2, 3, 5, 4, 3, 3, 2, 4, 5, 4, 3, 4, 3, 3, 3, 4, 3, 2, 5, 3, 4, 3, 3, 5, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 3, 2, 3, 4, 1, 1, 2, 1, 4, 3, 2, 4, 1, 3, 2, 1, 2, 4, 2, 1, 3, 1, 2, 3, 4, 1, 4, 4, 3, 1, 3, 2, 3, 1, 2, 2, 1, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 5, 1, 4, 3, 3, 4, 2, 1, 4, 2, 3, 1, 3, 3], "3117": [5, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 2, 5], "2049": [3, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 2, 5, 3, 5, 5, 2, 4, 5, 4, 4, 4, 5, 4], "4576": [4, 5, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5], "68": [4, 3, 5, 1, 5, 4, 4, 4, 5, 5, 1, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 2, 3, 4, 4, 2, 3, 4, 2, 3, 1, 5, 5, 5, 3, 5, 2, 5, 4, 4, 4, 3, 3, 4, 1, 5, 5, 5, 4, 1, 4, 4, 5, 5], "1277": [5, 3, 3, 3, 3, 2, 5, 5, 3, 1, 4, 4, 2, 2, 5, 3, 2, 5, 4, 3, 5, 2, 2, 3, 2, 4, 3], "446": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5], "1868": [3, 4, 4, 2, 5, 4, 2, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 5, 3, 3, 4, 5, 4, 1, 2], "2033": [3, 3, 1, 1, 5, 4, 1], "3550": [3, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 4, 1, 3, 5, 5, 3, 3, 3, 5, 4, 4, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 1, 3, 2, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 2, 1, 3, 3, 4, 3, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 5, 2, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 1, 3, 1, 4, 4, 3, 3, 2, 2, 3, 3, 4, 2, 4, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 2, 2, 3, 5, 3, 2, 3, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 2, 4, 3, 4, 4, 3, 5, 3, 4, 3, 2, 5, 4, 3, 3, 3, 1, 3, 4, 5, 3, 3, 4, 3, 3, 3, 5, 4, 5, 4, 4, 5, 3, 1, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3], "3873": [5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 2, 3, 2, 5, 5, 2, 1, 3, 4, 3, 4, 5, 5, 1, 3, 3, 4, 3, 4, 2, 3, 5, 5, 5, 3, 2, 1, 3, 2, 4, 3, 5, 5, 5, 5, 3, 5, 2, 5, 5, 4, 5, 5, 4, 5, 4, 5], "2777": [3, 4, 3, 4, 3, 2, 4, 5, 2, 3, 5, 3, 5, 4, 4, 5, 3, 5, 2, 4, 4, 4, 3, 2, 4, 4, 4, 5, 5, 4, 5, 5, 2, 3, 5, 5, 5, 2, 4, 5, 4, 3, 4, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 4, 2, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 1, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 2, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 2, 3, 3, 3, 5, 4, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 4, 5, 1, 5, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 4, 3, 2, 4, 2, 2, 4, 5, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 5, 4, 2, 3, 4, 2, 3, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 5, 4, 2, 3, 3, 4, 4, 5, 4, 3, 2, 3, 4, 3, 5, 4, 4, 4, 2, 3, 4, 5, 2, 3, 4, 4, 4, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 3, 5, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 2, 3, 5, 5, 4, 2, 4, 4, 4, 4, 2, 5, 3, 5, 5, 4, 2, 2, 4, 5, 3, 4, 5, 5, 5, 3, 4, 3, 3, 3, 5, 3, 3, 2, 3, 1, 4, 4, 3, 3, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 5, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 2, 3, 3, 2, 3, 4, 3, 4, 5, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 1, 2, 4, 5, 5, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 2, 2, 2, 5, 4, 4, 3, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 3, 2, 4, 3, 3, 4, 3, 4, 5, 3, 2, 4, 2, 5, 4, 4, 4, 2, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 2, 2, 2, 4, 4, 4, 2, 3, 3, 4, 2, 3, 4, 4, 4, 2, 3, 2, 4, 5, 1, 3, 5, 4, 4, 4, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 5, 3, 3, 4, 5, 2, 5, 2, 3, 5, 5, 4, 4, 5, 4, 1, 4, 4, 2, 3, 3, 3, 5, 3, 3, 4, 2, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 3, 3, 4, 5, 3, 2, 2, 4, 5, 4, 3, 4, 3, 3, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 2, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 2, 3, 5, 2, 3, 2, 4, 3, 4, 4, 5, 2, 3, 3, 3, 4, 4, 4, 2, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 5, 4, 2, 4, 5, 1, 5, 3, 2, 2, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 4, 2, 2, 4, 2, 5, 4, 4, 2, 3, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 5, 1, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 2, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 2, 4], "4780": [4, 4, 2, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 2, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 3, 5, 2, 5, 2, 5, 5, 5, 5, 3, 4, 3, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 2, 3, 4, 4, 5, 1, 4, 5, 4, 3, 4, 4, 4, 5, 1, 3, 5, 5, 4, 4, 5, 3, 1, 4, 5, 5, 5, 5, 4, 4, 5], "4230": [5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3], "5937": [4, 3, 3, 1, 1, 4, 4, 4, 1, 3, 3, 4, 4, 3, 1, 5, 4, 5, 3, 3, 5, 5, 5, 5, 2, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 5, 3, 4, 4, 2, 3, 3, 5, 3, 4, 4, 4, 2, 3, 4, 1, 3, 4, 2, 4, 2, 4, 3, 3, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 1, 3, 1, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3], "1406": [4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 2], "4424": [4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5], "2639": [4, 5, 5, 5, 4, 2, 5, 3, 3, 1, 5, 4, 4, 4, 4, 5, 3], "2158": [4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 3, 5, 3, 3, 5, 4, 5, 4, 3, 3, 3, 4, 3, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4], "3832": [5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 2, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 2, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 5, 5], "3189": [2, 3, 3, 2, 2, 3, 2, 3, 4, 3, 3, 2, 4, 2, 4, 3, 2, 3, 4, 3, 4, 5, 5, 5, 1, 4, 5, 3, 5, 5, 1, 4, 4, 4, 4, 4, 1, 3, 2, 5, 2, 3, 2, 1, 3, 3, 4, 3, 3, 4, 3, 3, 3, 1, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 2, 2, 2, 5, 4, 3, 3, 2, 4, 2, 3, 2, 4, 2, 2, 4, 3, 5, 2, 3, 3, 5, 5, 3, 4, 3, 1, 4, 2, 4, 2, 4, 3, 2, 4, 3, 2, 4, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 2, 3, 2, 5, 2, 1, 3, 5, 2, 3, 3, 3, 3, 2, 4, 3, 2, 2, 3, 4, 3, 4, 3, 3, 1, 2, 2, 2, 1, 3, 4, 3, 5, 2, 2, 3, 4, 2, 4, 4, 5, 4, 3, 2, 2, 1, 2, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 3, 4, 3, 2, 1, 3, 4, 3, 4, 5, 2, 3, 2, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 3, 2, 2, 5, 2, 4, 5, 2, 2, 3, 3, 3, 3, 2, 1, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 3, 3, 3, 4, 1, 2, 3, 1, 3, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 4, 5, 2, 4, 2, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 2, 3, 2, 3, 4, 2, 2, 3, 4, 2, 3, 3, 4, 2, 3, 3, 3, 4, 3, 3, 4, 3, 3, 1, 4, 3, 5, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 1, 5, 2, 5, 4, 4, 2, 3, 4, 3, 4, 4, 4, 2, 1, 2, 3, 3, 4, 3, 2, 1, 1, 3, 5, 4, 3, 4, 4, 2, 3, 5, 3, 2, 4, 3, 2, 5, 3, 2, 3, 5, 4, 2, 4, 3, 3, 4, 5, 2, 4, 1, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 1, 3, 2, 4, 4, 4, 5, 4, 2, 3, 3, 4], "5290": [5, 5, 3, 4, 3, 3, 5, 4, 5, 4, 5, 2, 4, 4, 5, 5, 2, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5], "3222": [4, 3, 1, 5, 2, 3, 3, 5, 4, 4, 5, 2, 5, 4, 1, 5, 5], "529": [4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 1, 5, 4, 3, 5, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 2, 3, 4, 1, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 1, 5, 5, 5, 5, 5, 5, 5], "5286": [3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 3, 3, 3, 4, 4, 5, 2, 5, 3, 5, 4, 5, 2, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 4, 5, 2, 5, 2, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 2, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 3, 3, 5, 4, 2, 4, 1, 4, 3, 3, 4, 5, 2, 5, 4, 3, 5, 5, 5, 3, 4, 3, 4, 3, 4, 5, 3, 4, 5, 2, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4], "3576": [3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 1, 4, 2, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 2, 3, 3, 4, 1, 3, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 5, 3, 2, 3, 5, 1, 1, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 4, 3, 3, 1, 3, 3, 3, 3, 4, 2, 4, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 3, 1, 3, 3, 4, 2, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 5, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 4, 3, 5, 3, 5, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 1, 3, 4, 3, 4, 3, 3, 3, 2, 3, 5, 4, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 2, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 5, 3, 4, 3, 3, 3, 1, 4, 3, 4, 3, 3, 4, 3, 4, 5, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 1, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5], "4007": [5, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 2, 4, 4, 4, 5, 4, 4, 3, 4, 2, 4, 3, 2, 3, 2, 5, 4, 2, 2, 4, 3, 4, 2, 2, 1, 4, 2, 1, 1, 1, 3, 3, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 3, 2, 3, 4, 2, 3, 2, 1, 3, 2, 2, 3, 4, 4, 1, 2, 4, 4, 3, 3, 2, 2, 1, 3, 3, 3, 3, 3, 1, 3, 3, 2, 3, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 1, 4, 3, 4, 2, 3, 1, 2, 3, 2, 3, 3, 4, 3, 3, 2, 2, 4, 4, 2, 3, 3, 2, 2, 4, 3, 4, 3, 3, 1, 5, 3, 3, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 1, 3, 4, 4, 3, 4, 2, 4, 4, 3, 2, 4, 3, 3, 2, 1, 4, 3, 3, 4, 1, 3, 4, 3, 4, 1, 4, 3, 3, 3, 3, 4, 1, 3, 3, 2, 2, 1, 3, 3, 3, 2, 2, 3, 2, 4, 3, 4, 4, 3, 3, 2, 1, 3, 3, 2, 2, 4, 4, 4, 2, 4, 4, 3, 3, 3, 1, 3, 1, 2, 3, 3, 2, 4, 3, 2, 1, 3, 2, 4, 5, 4, 2, 3, 4, 4, 2, 2, 3, 4, 3, 1, 4, 3, 1, 2, 4, 3, 2, 1, 3, 2, 5, 3, 2, 2, 3, 3, 2, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 1, 2, 3, 3, 2, 3, 3, 2, 4, 4, 3, 4, 3, 5, 1, 2, 3, 1, 2, 2, 4, 3, 4, 3, 2, 3, 3, 2, 1, 1, 3, 3, 4, 2, 4, 2, 3, 2, 1, 3, 2, 3, 3, 4, 1, 2, 3, 2, 2, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 4, 2, 4, 4, 1, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 3, 5, 3, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 1, 3, 3, 3, 4, 3, 3, 1, 2, 3, 2, 3, 4, 2, 1, 5, 2, 2, 5, 4, 5, 3, 3, 3, 4, 5, 3, 3, 3], "2626": [3, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4], "1846": [4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 1, 3, 2, 5, 5, 5, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 2, 4, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4], "1924": [5, 3, 4, 2, 3, 4, 5, 5, 1, 4, 1, 4, 3, 5, 2, 5, 5, 2, 1, 4, 1, 4, 4, 3, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 2, 5, 5, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 3, 1, 5, 2, 4, 4, 1, 1, 2, 2, 2, 2, 5, 1, 2, 1, 2, 2, 1], "4034": [4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 1, 5, 4, 2, 5, 5, 4, 2, 5, 3, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5], "5723": [2, 2, 3, 5, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 3, 3, 5, 4, 5, 3, 3, 4, 2, 3, 5, 4, 4, 5, 3, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 1, 4, 4, 5, 1, 3, 4, 4, 3, 4, 4, 2, 4, 5, 4, 3, 4, 2, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 1, 4, 2, 3, 2, 4, 4, 3, 3, 4, 4, 2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 2, 3, 3, 2, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3], "1016": [4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 2, 3, 4, 3, 4, 1, 3, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 2, 3, 4, 4, 4, 5, 3, 3, 5, 3, 3, 4, 3], "4131": [1, 3, 3, 5, 3, 5, 3, 5, 3, 5, 1, 2, 5, 3, 4, 4, 3, 5, 3, 5, 2, 2, 4, 5, 5, 4, 5, 2, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 2, 5, 5, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 5, 5, 3, 4, 4, 4, 3, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 2, 3, 4, 5, 3, 3, 5, 5, 5, 2, 4, 5, 4, 5, 2, 4, 3, 5, 5, 4, 3, 2, 5, 3, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 2, 5], "4422": [4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 5, 2, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 3, 2, 3, 4, 2, 2, 3, 2, 3, 4, 5, 4, 4, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 5, 5, 4, 3, 3, 4, 4, 1, 4, 4, 2, 4, 3, 4, 1, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 1, 4, 3, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 2, 4, 2, 1, 2, 1, 2, 4, 3, 2, 4, 3, 2, 2, 3, 4, 4, 3, 3, 4, 5, 3, 5, 3, 4, 5, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 4, 1, 5, 3, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 2, 3, 3, 3, 4, 4, 5, 3, 3, 2, 4, 3, 3, 2, 1, 2, 2, 3, 4, 2, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 2, 4, 5, 4, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 2, 2, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4], "2490": [4, 4, 4, 2, 3, 3, 2, 5, 4, 2, 5, 4, 3, 5, 3, 4, 5, 3], "3411": [3, 1, 1, 5, 1, 2, 4, 2, 4, 1, 4, 2, 3, 2, 4, 5, 3, 4, 4, 3, 3, 3, 1, 4, 4, 1, 3, 2, 4, 4, 1, 2, 2, 3, 2, 2, 3, 3, 4, 4, 2, 4, 4, 5, 3, 2, 2, 4, 2, 4, 3, 2, 3, 2, 1, 2, 3, 1, 3, 4, 4, 1, 4, 3, 3, 3, 3, 2, 2, 1, 4, 3, 2, 4, 1, 3, 4, 1, 3, 3, 4, 2, 4, 2, 1, 2, 1, 3, 1, 4, 2, 5, 1, 4, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 5, 2, 3, 4, 4, 2, 5, 4, 1, 1, 2, 2, 1, 3, 3, 2, 2, 2, 3, 2, 4, 3, 2, 3, 5, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 2, 3, 3, 1, 2, 1, 2, 5, 3, 5, 4, 1, 4, 1, 1, 2, 1, 1, 1, 3, 1, 2, 4, 5, 5, 3, 4, 4, 1, 1, 3, 1, 2, 2, 4, 1, 3, 3, 3, 2, 3, 4, 3, 3, 1, 5, 5, 3, 1, 3, 2, 3, 4, 3, 2, 1, 4, 3, 1, 3, 3, 2, 5, 3, 4, 2, 2, 2, 3, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 2, 3, 4, 4, 2, 2, 4, 2, 1, 3, 3, 3, 4, 4, 4, 1, 3, 3, 4, 4, 4, 1, 4, 2, 3, 4, 3, 4, 5, 4, 3, 4, 4, 2, 1, 4, 1, 4, 1, 3, 5, 3], "227": [4, 3, 3, 4, 5, 3, 4, 4, 3, 4], "2821": [1, 5, 5, 3, 5, 2, 1, 1, 5, 2, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5], "1849": [5, 5, 3, 4, 3, 5, 4, 3, 5, 1, 5, 5, 4, 3, 3, 2, 2, 4], "1254": [4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 2, 5, 4, 1, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 3, 4, 4, 5, 2, 5, 5, 4, 5, 4, 4, 3, 4, 2, 2, 5, 4, 2, 5, 4, 5, 3, 5, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 2, 5, 5, 3, 5], "3311": [4, 1, 3, 2, 3, 5, 3, 3, 3, 3, 2, 3, 5, 3, 2, 3, 4, 2, 5, 4, 3, 2, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 3, 1, 4, 3, 3, 4, 2, 3, 4, 3, 4, 2, 3, 3, 1, 1, 3, 2, 3, 2, 5, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 4, 3, 3, 3, 4, 4, 3, 4, 3, 2, 5, 4, 3, 1, 4, 2, 4, 2, 3, 5, 3, 2, 1, 3, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 2, 2, 3, 2, 4, 3, 3, 2, 3, 4, 4, 4, 2, 3, 2, 3, 3, 4, 1, 1, 5, 2, 2, 1, 1, 4, 1, 3, 3, 4, 3, 2, 3, 4, 1, 4, 2, 1, 3, 4, 2, 2, 2, 1, 4, 1, 3, 3, 4, 2, 3, 1, 3, 3, 2, 2, 2, 4, 2, 1, 3, 3, 2, 3, 4, 4, 4, 3, 3, 1, 3, 1, 3, 2, 4, 2, 3, 2, 3, 4, 3, 1, 1, 2, 1, 3, 2, 4, 4, 2, 2, 1, 3, 4, 2, 3, 4, 2, 3, 1, 2, 2, 1, 1, 3, 2, 2, 5, 2, 2, 3, 1, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 3, 2, 3, 1, 3, 4, 1, 1, 5, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 1, 3, 4, 3, 4, 4, 2, 3, 4, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 4, 2, 2, 4, 2, 3, 3, 5, 1, 1, 2, 3, 3, 1, 1, 1, 2, 4, 2, 4, 1, 4, 3, 4, 3, 2, 2, 4, 2, 2, 2, 2, 3, 4, 3, 2, 3, 4, 3, 1, 4, 1, 3, 2, 4, 1, 2, 4, 3, 3, 1, 4, 2, 2, 1, 2, 3, 3, 3, 1, 1, 2, 3, 5, 3, 4, 3, 3, 3, 2, 1, 3, 4, 2, 4, 3, 2, 1, 1, 2, 3, 4, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 1, 1, 1, 1, 4, 2, 3, 1, 3, 4, 2, 1, 2, 3, 4, 1, 4, 1, 2, 4, 3, 5, 1, 4, 1, 4, 4, 4, 2, 1, 2, 3, 4, 4, 1, 2, 3, 2, 4, 4, 3, 1, 1, 1, 1, 4, 4, 3, 3, 1, 4, 1, 4, 4, 2, 1, 3, 2, 4, 2, 3, 4, 3, 4, 2, 3, 3, 4, 3, 4, 3, 1, 2, 3, 3, 3, 4, 2, 1, 3, 5, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 4, 4, 4, 4, 1, 1, 4, 4, 2, 3, 3, 4, 1, 2, 3, 1, 2, 2, 3, 1, 1, 1, 1, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 1, 3, 2, 1, 3, 1, 2, 3, 1, 4, 4, 2, 3, 4, 3, 1, 4, 4, 2, 1, 2, 3, 1, 3, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 1, 4, 3, 3, 1, 3, 3, 4, 2, 2, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 2, 1, 3, 1, 4, 2, 2, 3, 3, 5, 3, 1, 3, 4, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 4, 4, 1, 4, 4, 1, 2, 3, 3, 2, 4, 2, 4, 3, 3, 2, 2, 3, 3, 2, 4, 2, 1, 2, 4, 3, 2, 3, 4, 4, 2, 5, 2, 2, 4, 3, 3, 4, 1, 3, 4, 3, 1, 4, 5, 3, 3, 2, 3, 2, 2, 1, 4, 3, 4, 3, 2, 2, 1, 1, 3, 1, 4, 2, 4, 2, 4, 5, 4, 1, 1, 1, 3, 2, 3, 1, 2, 1, 5, 2, 1, 1, 4, 4, 3, 2, 1, 3, 1, 2, 5, 2, 2, 3, 3, 3, 4, 4, 4, 2, 1, 4, 1, 2, 3, 4, 3, 3, 1, 2, 2, 3, 1, 3, 4, 4, 3, 3, 3, 4, 3, 1, 5, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 1, 1, 2, 1, 4, 2, 3, 3, 4, 3, 5, 1, 4, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 2, 4, 1, 1, 3, 2, 2, 3, 3, 2, 4, 4, 3, 3, 2, 3, 3, 2, 4, 1, 2, 3, 5, 3, 1, 2, 3, 2], "4758": [2, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4], "3412": [5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5], "1466": [3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 1, 2, 4, 3, 5, 2, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 3, 3, 2, 4, 3, 5, 5, 3, 4, 2, 1, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 2, 1, 3, 3, 5, 3, 4, 3, 4, 2, 4, 5, 3, 4, 4, 3, 1, 3, 3, 4, 3, 4, 1, 3, 4, 5, 3, 3, 3, 3, 5, 4, 5, 5, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 1, 4, 4, 2, 5, 3, 2, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 5, 5, 3, 1, 4, 4, 2, 3, 4, 5, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 3, 5, 2, 4, 2, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 4, 1, 4, 4, 5, 4, 3, 4, 3, 3, 5, 4, 5, 3, 3, 3, 5, 5, 4, 3, 3, 4, 4], "3526": [5, 1, 1, 2, 5, 3, 5, 4, 2, 5, 5, 4, 4, 1, 5, 5, 5, 3, 1, 3, 4, 4, 4, 5, 5, 3, 5, 2, 4, 5, 1, 1, 2, 5, 3, 2, 4, 5, 4, 1, 2, 4, 1, 1, 5, 2, 2, 3, 4, 2, 3, 2, 4, 1, 4, 5, 4, 3, 1, 3, 4, 3, 4, 4, 5, 2, 1, 3, 3, 5, 5, 2, 5, 4, 5, 3, 3, 3, 3, 4, 5, 3, 3, 1, 1, 1, 2, 5, 2, 1, 5, 2, 1, 4, 3, 1, 5, 5, 3, 4, 3, 4, 1, 1, 3, 2, 1, 5, 3, 2, 2, 2, 1, 1, 3, 2, 2, 1, 2, 3, 5, 4, 1, 1, 3, 2, 1, 4, 3, 5, 3, 2, 2, 1, 2, 4, 3, 1, 4, 1, 1, 4, 2, 4, 1, 2, 3, 1, 2, 3, 1, 3, 2, 5, 4, 1, 3, 5, 3, 4, 4, 1, 2, 2, 1, 4, 3, 2, 2, 3, 2, 2, 2, 5, 3, 2, 2, 5, 5, 3, 3, 2, 2, 4, 2, 3, 3, 3, 5, 4, 1, 1, 2, 5, 1, 3, 1, 4, 3, 3, 3, 3, 1, 2, 1, 2, 1, 3, 5, 4, 2, 4, 3, 5, 4, 3, 3, 1, 3, 3, 2, 5, 5, 2, 3, 1, 3, 2, 4, 3, 2, 3, 3, 1, 5, 1, 5, 4, 1, 2, 3, 5, 2, 3, 4, 2, 3, 3, 5, 1, 2, 3, 3, 3, 3, 3, 3, 5, 3, 3, 1, 3, 3, 4, 1, 3, 2, 1, 1, 1, 4, 2, 2, 2, 1, 2, 2, 1, 3, 3, 3, 3, 1, 2, 1, 1, 1, 3, 4, 5, 2, 1, 1, 5, 5, 1, 4, 4, 5, 2, 3, 1, 1, 2, 1, 2, 1, 4, 1, 3, 1, 1, 4, 2, 1, 3, 2, 4, 4, 4, 2, 1, 5, 1, 4, 4, 4, 3, 4, 1, 1, 3, 5, 2, 3, 4, 2, 1, 1, 4, 2, 1, 5, 1, 2, 1, 3, 3, 5, 2, 1, 1, 1, 1, 1, 1, 1, 4, 2, 5, 1, 3, 5, 1, 2, 2, 2, 1, 3, 3, 4, 2, 4, 1, 2, 4, 1, 3, 5, 1, 3, 2, 3, 4, 3, 2, 3, 3, 1, 1, 5, 4, 1, 4, 1, 3, 4, 2, 5, 4, 5, 3, 4, 1, 3, 1, 3, 2, 5, 3, 5, 1, 1, 2, 4, 2, 1, 2, 5, 2, 2, 5, 2, 5, 4, 1, 3, 4, 4, 2, 5, 4, 3, 2, 2, 4, 3, 3, 3, 1, 1, 2, 4, 2, 2, 5, 4, 4, 4, 3, 3, 2, 2, 4, 5, 1, 4, 4, 4, 2, 3, 4, 4, 2, 5, 4, 1, 4, 1, 4, 2, 4, 2, 1, 1, 2, 1, 4, 2, 3, 4, 5, 1, 3, 3, 5, 4, 1, 3, 1, 4, 4, 4, 3, 3, 4, 3, 1, 3, 3, 2, 1, 4, 1, 5, 1, 4, 1, 1, 1, 5, 4, 1, 3, 4, 4, 1, 2, 4, 4, 3, 4, 1, 3, 2, 5, 2, 2, 1, 4, 2, 3, 4, 4, 4, 2, 4, 4, 2, 3, 1, 3, 5, 4, 2, 3, 2, 1, 2, 5, 4, 5, 1, 5, 4, 5, 3, 1, 2, 1, 2, 2, 1, 3, 3, 5, 2, 3, 3, 1, 3, 1, 1, 2, 1, 2, 3, 3, 2, 5, 1, 4, 1, 2, 2, 3, 2, 4, 4, 2, 1, 2, 3, 5, 3, 5, 5, 3, 4, 4, 2, 3, 2, 4, 1, 1, 1, 4, 3, 2, 2, 4, 1, 3, 4, 1, 1, 1, 3, 2, 5, 1, 1, 1, 4, 3, 3, 4, 3, 4, 3, 1, 4, 4, 1, 4, 5, 3, 3, 4, 3, 5, 3, 5, 1, 1, 5, 2, 2, 3, 3, 3, 3, 2, 2, 5, 2, 3, 3, 4, 3, 3, 1, 2, 3, 3, 5, 4, 4, 3, 5, 3, 3, 2, 5, 2, 5, 1, 1, 1, 5, 3, 1, 3, 3, 3, 1, 1, 5, 2, 4, 5, 2, 3, 3, 3, 5, 2, 1, 4, 3, 3, 5, 1, 5, 3, 2, 1, 4, 2, 1, 1, 1, 2, 5, 2, 3, 1, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 2, 1, 3, 5, 4, 1, 4, 5, 3, 3, 1, 4, 4, 5, 4, 3, 3, 4, 1, 3, 4, 2, 4, 5, 1, 5, 5, 3, 3, 1, 1, 3, 4, 3, 3, 2, 1, 5, 5, 2, 2, 1, 4, 3, 2, 5, 4, 2, 5, 4, 4, 3, 3, 1, 5, 1, 2, 5, 2, 3], "549": [4, 3, 5, 4, 5, 2, 2, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 2, 4, 3, 4, 5, 5, 3, 1, 4, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 1, 5, 5, 5, 5, 2, 5, 5, 5, 4, 5, 3, 3, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 3, 5, 4, 5, 3, 5, 5, 5, 4, 2, 4, 4, 5, 5, 4, 5, 5, 4, 2, 5, 4, 5, 4, 4, 1, 1, 4, 5, 2, 5, 4, 2, 4, 2, 5, 4, 5, 3, 5, 5, 4, 5, 3, 4, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 3, 3, 5, 3, 5, 3, 4, 5, 2, 3, 4, 1, 4, 2, 3, 3, 1, 3, 5, 4, 2, 1, 5, 4, 4, 5, 3, 2, 5, 5, 3, 1, 5, 5, 2, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 3, 2, 1, 5, 5, 4, 3, 4, 4, 3, 2, 5, 5, 5, 4, 4, 5, 3, 4, 3, 5, 5, 5, 1, 5, 5, 3, 5, 4, 1, 5, 4, 1, 4, 3, 1, 4, 5, 3, 2, 5, 4, 4, 4, 1, 3, 5, 2, 3, 4, 5, 1, 3, 2, 2, 5, 5, 1, 4, 5, 5, 1, 5, 3, 1, 5, 3, 3, 4, 4, 4, 3, 2, 3, 2, 5, 3, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 1, 4, 1, 1, 1, 1, 5, 4, 1, 5, 3, 2, 5, 4, 4, 2, 5, 5, 3, 5, 3, 4, 3, 4, 4, 4, 1, 3, 3, 3, 4, 2, 5, 5, 4, 5, 4, 3, 4, 4, 3, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 3, 4, 2, 2, 4, 2, 1, 1, 1, 4, 4, 4, 4, 5, 3, 4, 4, 1, 4, 4, 3, 1, 3, 5, 1, 4, 4, 4, 2, 4, 5, 1, 3, 1, 4, 2, 4, 5, 4, 5, 5, 4, 5, 5, 2, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 2, 5, 3, 5, 4, 4, 3, 3, 4, 5, 5, 5, 3, 2, 2, 4, 3, 4, 5, 4, 5, 2, 3, 1, 3, 2, 5, 4, 4, 2, 5, 5, 5, 2, 5, 3, 4, 3, 3, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 1, 5, 4, 2, 3, 5, 2, 5, 4, 3, 4, 4, 4, 2, 5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 5, 3, 5, 2, 4, 2, 3, 4, 5, 2, 5, 5, 1, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 5, 2, 1, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 2, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 1, 5, 4, 5, 5, 5, 5, 2, 2, 5, 3, 4, 4, 4, 4, 4, 2, 3, 5, 1, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 5, 3, 1, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 3, 2, 4, 1, 4, 1, 2, 4, 1, 3, 1, 5, 1, 1, 3, 4, 1, 4, 3, 5, 4, 1, 4, 5, 3, 4, 2, 5, 4, 4, 5, 1, 3, 2, 5, 4, 4, 4, 3, 3, 5, 4, 5, 1, 5, 5, 3, 4, 4, 3, 3, 5, 3, 3, 4, 5, 4, 5, 2, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 5, 2, 4, 2, 4, 5, 5, 1, 1, 3, 1, 4, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 2, 5, 4, 4, 4, 1, 3, 1, 4, 5, 4, 3, 4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 5, 3, 5, 3, 4, 3, 4, 5, 3, 2, 3, 1, 1, 5, 4, 2, 5, 5, 5, 2, 5, 5, 4, 5, 5, 3, 2, 3, 5, 2, 2, 4, 4, 4, 4, 2, 5, 4, 3, 5, 3, 5, 5, 3, 2, 4, 4, 5, 3, 2, 4, 3, 3, 3, 4, 4, 5, 5, 4, 1, 5, 3, 5, 5, 5, 4, 5, 2, 1, 3, 4, 4, 3, 5, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 1, 3, 4, 4, 4, 5, 4, 2, 1, 5, 5, 5, 1, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 4, 4, 5, 1, 5, 3, 5, 5, 4, 2, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 3, 3, 4, 1, 2, 3, 1, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 1, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 3, 3, 5, 4, 5, 4, 3, 5, 3, 4, 5, 5, 2, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 4], "4839": [5, 4, 4, 4, 5, 1], "1794": [1, 4, 2, 1, 5, 4, 3, 5, 4, 2, 5, 4, 3, 3, 2, 4, 4, 3, 4, 2, 4, 5, 4, 3, 1, 2, 1, 2, 5, 1, 1, 1, 3, 1, 2, 2, 3, 1, 2, 2, 4, 3, 3, 2, 2, 4, 2, 3, 4, 4, 1, 1, 2, 2, 2, 2, 3, 5, 2, 1, 1, 1, 1, 1, 2, 4, 3, 1, 1, 2, 5, 5, 2, 2, 4, 2, 2, 4, 4, 3, 2, 2, 2, 1, 3, 1, 3, 1, 2, 4, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 3, 3, 1, 1, 5, 2, 4, 2, 3, 1, 1, 1, 2, 5, 2, 2, 5, 1, 2, 3, 4, 2, 1, 3, 2, 1, 2, 2, 2, 4, 3, 2, 3, 3, 5, 1, 3, 2, 4, 2, 4, 2, 1, 2, 1, 3, 5, 3, 5, 4, 2, 1, 2, 3, 5, 3, 1, 3, 2, 3, 1, 2, 2, 3, 4, 1, 3, 1, 1, 4, 5, 3, 2, 4, 3, 4, 3, 2, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 5, 3, 1, 2, 2, 3, 2, 3, 3, 2, 4, 5, 3, 1, 4, 4, 1, 1, 4, 2, 1, 4, 1, 1, 2, 3, 2, 2, 1, 3, 3, 1, 2, 4, 1, 3, 1, 2, 2, 2, 2, 1, 1, 1, 5, 3, 2, 1, 1, 2, 4, 3, 2, 4, 3, 5, 3, 1, 3, 4, 3, 4, 1, 5, 3, 3, 3, 1, 2, 4, 1, 1, 4, 4, 4, 2, 3, 3, 5, 2, 2, 4, 2, 2, 3, 3, 5, 2, 1, 2, 4, 4, 4, 3, 5, 1, 1, 4, 4, 1, 2, 4, 2, 1, 2, 1, 5, 2, 3, 4, 3, 4, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 5, 3, 2, 1, 5, 4, 1, 4, 3, 2, 4], "2937": [5, 5, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 2, 5, 3, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 1, 3, 2, 2, 5, 4, 4, 4, 2, 4, 2, 5, 5, 4, 4, 2, 4, 5, 3, 4, 4, 2, 2, 4, 3, 3, 4, 5, 4, 3, 4, 3, 2, 4, 5, 4, 4, 4, 4, 3, 4], "2057": [4, 5, 5, 3, 4, 5, 2, 4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 2, 2, 5, 5, 4, 5, 3, 3, 4, 3, 4, 4, 5, 4], "3130": [5, 4, 5, 2, 4, 5, 3, 4, 3, 5, 3, 4, 1, 3, 5, 3, 3, 4, 3, 2, 5, 5, 4, 3, 1, 5, 5, 2, 3, 5, 2, 5, 2, 4, 3, 4, 4, 5, 5, 3, 5, 3, 2, 4, 4, 5], "3798": [5, 2, 4, 5, 2, 3, 2, 2, 3, 4, 5, 4, 5, 3, 5, 4, 2, 3, 4, 4, 3, 2, 3, 4], "2110": [4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 1, 3, 1, 3, 5, 3, 4, 4, 5, 4, 3, 5, 5, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 3, 3, 4, 4, 5, 1, 1, 2, 3, 2, 3, 4, 4, 3, 3, 1, 5, 5, 3, 2, 3, 3, 2, 5, 4, 3, 1, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 1, 2, 3, 5, 4, 3, 2, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 1, 3, 3, 4, 2, 2, 1, 4, 3, 1, 4, 5, 5, 5, 3, 5, 5, 4, 3, 4, 1, 4, 5, 3, 3, 4, 2, 5, 4, 4, 4, 5, 3, 4, 1, 1, 4, 4, 1, 1, 1, 4, 2, 2, 2, 3, 4, 4, 3, 3, 5, 4, 3, 4, 3, 3, 2, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 2, 4, 1, 3, 4, 1, 2, 4, 4, 3, 1, 1, 3, 3, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 1, 4, 4, 4, 3, 4, 4, 3], "1551": [4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 4, 2, 4, 5, 5, 4, 3, 4, 4, 2, 3, 2, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 4, 1, 2, 4, 2, 4, 2, 4, 5, 3, 4, 5, 4, 4, 4, 2, 5, 1, 3, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5], "2000": [3, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 2, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 1, 4, 2, 4, 3, 4, 2, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4], "4693": [3, 5, 5, 3, 3, 3, 4, 5, 5, 5, 4, 2, 5, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4], "4079": [2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 5, 5, 5, 3, 5, 2, 2, 5, 5, 3, 5, 3, 3, 4, 4, 5, 3, 5, 5, 5, 5, 2, 3, 4, 2, 5, 2, 4, 5, 4, 4, 5, 3, 2, 5, 4, 4, 5, 5, 3, 3, 4, 3, 2, 5, 5, 4, 4, 4, 2, 1, 5, 5, 4, 4, 4, 2, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 4, 3, 4, 3, 1, 2, 2, 5, 5, 4, 5, 4, 2, 4, 4, 3, 4, 3, 2, 2, 5, 5, 3, 5, 4, 4, 4, 4, 5, 2, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 2, 5, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 5, 5, 3, 3, 5, 3, 5, 4, 2, 4, 4, 3, 1, 4, 4, 4, 4, 3, 3, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 3, 3, 2, 4, 3, 3, 2, 5, 4, 5, 2, 3, 4, 2, 3, 2, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 5, 2, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 1, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 2, 3, 4, 4, 3, 4, 2, 3, 5, 5, 3, 4, 3, 3, 5, 2, 4, 3, 3, 4, 3, 1, 4, 1, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 2, 5, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 2, 2, 2, 2, 5, 4, 4, 5, 4, 2, 2, 3, 2, 4, 4, 4, 4, 5, 3, 5, 5, 4, 2, 3, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 1, 4, 3, 4, 4, 5, 5, 4, 3, 2, 5, 3, 1, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 1, 4, 4, 4, 1, 4, 3, 4, 5, 4, 3, 4, 5], "5851": [5, 5, 5, 4, 5, 3, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 1, 1, 1, 4, 1, 5, 5, 1, 5, 3, 3, 1, 3, 5, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 1, 1, 5, 4, 5, 5, 4, 5, 1, 5, 5, 5, 4, 5, 5, 1, 3, 5, 5, 3, 5, 2, 1, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 4, 1, 4, 5, 5, 1, 4, 5, 5, 5, 3, 1, 5, 4, 5, 5, 5, 5, 1, 4, 4, 5, 5, 5, 5, 1, 4, 4, 5, 2, 2, 2, 5, 5, 5, 5, 3, 4, 5, 5, 3, 1, 3, 2, 3, 5, 5, 5], "1300": [5, 4, 4, 5, 4, 1, 3, 4, 1, 4, 3, 5, 4, 4, 4, 2, 5, 3, 5, 1, 5, 5, 5, 1, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 2, 4, 5, 2, 5, 4, 3, 3, 5, 3, 1, 4, 1, 3, 5, 1, 1, 5, 1, 4, 2, 4, 5, 5, 1, 4, 4, 1, 4, 4, 1, 2], "3634": [3, 4, 4, 5], "3371": [1, 5, 5, 4, 3, 5, 2, 4, 2, 5, 3, 4, 4, 4, 2, 1, 5, 2, 3, 5, 5, 2, 3, 4, 5, 3, 3, 5, 1, 3, 3, 3, 2, 5, 2, 4, 4, 4, 3, 5, 5, 4, 5, 3, 2, 3, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 2, 4, 3, 3, 3, 4, 5, 3, 3, 3, 3, 1, 2, 1, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 1, 4, 4, 2, 4, 3, 3, 4, 1, 2, 3, 3, 4, 3, 1, 4, 2, 4, 4, 5, 2, 4, 2, 4, 5, 4, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 5, 3, 3, 3, 3, 3, 4, 2, 5, 4, 4, 2, 3, 1, 2, 5, 4, 4, 3, 5, 2, 4, 4, 2, 5, 5, 2, 4, 1, 2, 5, 4, 5, 5, 3, 2, 3, 3, 2, 2, 3, 5, 3, 1, 3, 5, 1, 2, 3, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 5, 5, 4, 2, 4, 3, 4, 5, 3, 3, 2, 5, 4, 4, 5, 4, 5, 1, 3, 3, 3, 2, 2, 5, 5, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 1, 3, 1, 2, 4, 5, 2, 4, 1, 5, 1, 5, 5, 3, 2, 5, 2, 4, 4, 4, 4, 2, 4, 4, 5, 3, 2, 4, 3, 1, 2, 1, 2, 4, 5, 4, 2, 5, 4, 5, 3, 2, 3, 4, 2, 4, 3, 2, 4, 2, 5, 1, 3, 5, 5, 5, 5, 1, 4, 4, 3, 3, 3, 3, 4, 5, 3, 2, 4, 4, 3, 3, 2, 3, 2, 5, 2, 5, 2, 4, 5, 4, 4, 3, 3, 3, 5, 2, 3, 3, 3, 4, 4, 5, 3, 1, 2, 5, 3, 2, 5, 5, 2, 4, 1, 2, 3, 4, 4, 1, 4, 4, 1, 4, 5, 2, 3, 2, 5, 3, 3, 5, 2, 3, 5, 5, 2, 3, 4, 2, 5, 1, 1, 2, 3, 5, 5, 3, 3, 4, 4, 2, 4, 5, 4, 2, 2, 3, 2, 5, 5, 4, 5, 3, 1, 4, 4, 3, 3, 3, 3, 4, 5, 4, 2, 3, 5, 5, 5, 5, 3, 4, 1, 3, 3, 1, 3, 4, 5, 4, 3, 2, 3, 5, 3, 4, 5, 2, 1, 4, 5, 2, 4, 4, 3, 1, 2, 5, 3, 1, 4, 5, 5], "3810": [5, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5], "1328": [3, 3, 4, 4, 2, 4, 3, 5, 3, 5, 4, 3, 1, 3, 5, 3, 4, 3, 3, 4, 2, 5, 2, 3, 3, 4, 4, 2, 3, 4, 5, 3, 5, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 4, 3, 3, 5, 4, 5, 3, 5, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 5, 4, 4, 3, 2, 1, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 1, 3, 3, 4, 5, 5, 4, 5, 2, 5, 4, 5, 4, 5, 2, 2, 5, 2, 4, 4, 4, 2, 3, 4, 4, 3], "451": [5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4], "4380": [4, 4, 3, 5, 5, 4, 5, 4, 1, 5, 5, 3, 4, 4, 3, 5, 3, 4, 2, 3, 3, 4, 4, 5, 5, 4, 3, 2, 3, 4, 5, 5, 5, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 3, 3, 4, 2, 4, 4, 3, 3, 5, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 2, 5, 3, 4, 4, 4, 1, 4, 4, 5, 4, 3, 1, 5, 3, 5, 3, 5, 5, 3], "3852": [4, 5, 4, 5, 2, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 1, 5, 4, 5, 4, 5], "663": [4, 5, 4, 4, 4, 2, 3, 3, 3, 3, 3, 5, 3, 4, 4, 5, 3, 4, 4, 3, 4, 1, 3, 2, 4, 4, 4, 3, 2, 5, 4, 3, 3, 3, 5, 3, 4, 5, 4, 4, 5, 4, 5, 2, 5, 5, 3, 4, 5, 3, 2, 3, 3, 5, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 2, 3, 3, 2, 3, 4, 2, 4, 3, 4, 4, 2, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3], "2841": [3, 5, 5, 5, 5, 3, 3, 5, 4, 3, 4, 3, 3, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 4, 2, 5, 5, 3, 2, 3, 2, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 2, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 2, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 2, 3, 3, 3, 3, 2, 5, 3, 5, 3, 3, 4, 3, 3, 5, 5, 5, 3, 3, 2, 5, 3, 3, 3, 5, 4, 4, 5, 4, 5, 5, 5, 1, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 3, 5, 4, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 3, 3, 4, 2, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 4, 1, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4], "3021": [4, 4, 2, 3, 3, 2, 5, 3, 4, 2, 3, 4, 4, 2, 3, 5, 2, 2, 3], "5567": [2, 4, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 5, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 5, 4, 3, 5, 2, 4, 2, 5, 4, 5, 4, 3, 5, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 2, 3, 3, 5, 3, 4, 2, 3, 4, 3, 2, 4, 3, 5, 3, 4, 5, 3, 4, 3, 5, 3, 3, 4, 3, 3, 5, 5, 3, 5, 5, 4, 1, 2, 3, 2, 4, 3, 3, 3, 4, 4, 3, 2, 3, 3, 5, 5, 2, 4, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 4, 2, 4, 3, 3, 3, 4, 1, 2, 3, 5, 3, 4, 2, 3, 4, 3, 4, 3, 2, 3, 4, 4, 3, 2, 3, 4, 4, 3, 1, 2, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 5, 2, 3, 5, 4, 4, 2, 3, 3, 2, 3, 2, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 4, 2, 4, 3, 3, 5, 3, 5, 3, 3, 2, 3, 4, 4, 3, 5, 5, 4, 3, 3, 3, 5, 1, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 3, 2, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 2, 4, 1, 5, 4, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 2, 2, 5, 3, 4, 3, 3, 3, 3, 2, 3, 3, 1, 3, 4, 3, 3, 5, 5, 3, 3, 3, 1, 1, 3, 5, 4, 4, 4, 4, 3, 4, 4, 2, 3, 4, 4, 3, 3, 4, 2, 2, 2, 5, 2, 3, 3, 3, 3, 2, 2, 3, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 3, 4, 2, 5, 4, 2, 3, 2, 4, 3, 4, 5, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 2, 3, 5, 3, 4, 4, 4, 3, 4, 4], "280": [5, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 2, 5, 3, 4, 5, 4, 3, 3, 3, 4, 5, 5, 3, 3, 5, 5, 4, 5, 3, 3, 1, 3, 5, 5, 5, 4, 5, 5, 3, 4, 5, 1, 4, 4], "4202": [3, 5, 4, 3, 3, 3, 3, 1, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 2, 4, 3, 2], "4951": [3, 4, 3, 3, 5, 3, 3, 5, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 5, 4, 3, 2, 4, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 5, 2, 2, 3, 5, 4, 2, 5, 5, 5, 4, 4, 3, 4, 5, 4, 1, 3, 4, 4, 4, 3, 2, 2, 4, 2, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3, 5, 5, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 4, 5, 3, 5, 3, 4, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 5, 3, 2, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 3, 3, 3, 4, 3, 4, 1, 3, 2, 4, 4, 4, 4, 4, 4, 3, 2, 4, 5, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 5, 4, 5, 5, 3, 3, 3, 5, 3, 3, 4, 4], "1335": [2, 5, 4, 4, 4, 4, 3, 4, 1, 5, 4, 5, 5, 1, 5, 2, 2, 3, 3, 4, 5, 3, 4, 5, 5, 3, 2, 3, 4, 4, 4, 2, 2, 3, 5, 1, 4, 1, 5, 5, 3, 4, 3, 4, 4, 4, 4, 5, 2, 3, 3, 3, 3, 3, 5, 1, 4, 3, 2, 3, 3, 2, 3, 2, 1, 1, 4, 2, 4, 1, 4, 2, 2, 4, 3, 3, 4, 3, 2, 2, 3, 2, 1, 5, 3, 1, 4, 1, 3, 3, 3, 4, 4, 3, 4, 5, 4, 4, 2, 4, 3, 2, 3, 1, 3, 5, 2, 2, 4, 4, 4, 1, 2, 2, 4, 4, 3, 4, 1, 3, 5, 3, 1, 2, 4, 2, 4, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 2, 3, 1, 5, 3, 4, 4, 5, 2, 3, 3, 3, 4, 2, 5, 3, 1, 1, 1, 1, 3, 2, 4, 5, 1, 1, 4, 2, 4, 1, 1, 3, 1, 2, 3, 3, 3, 4, 3, 2, 4, 3, 1, 3, 4, 4, 3, 2, 2, 3, 3, 2, 3, 1, 4, 2, 1, 2, 4, 3, 2, 3, 4, 2, 1, 4, 4, 3, 2, 4, 2, 4, 2, 3, 3, 3, 4, 2, 5, 5, 3, 5, 5, 4, 1, 2, 4, 5, 5, 5, 4, 5, 3, 5, 4, 1, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 2, 4, 3, 5, 1, 4, 2, 3, 2, 3, 4, 3, 4], "4272": [5, 3, 2, 4, 4, 3, 4, 3, 2, 3, 4, 2, 5, 4, 3, 3, 4, 3, 2, 4, 4, 3, 3, 5, 3, 2, 3, 2, 4, 5, 1, 5, 4, 4, 2, 4, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 5, 3, 4, 5, 3, 3, 3, 5, 4, 5, 2, 3, 3, 3, 5, 3, 4, 4, 3, 4, 2, 3, 5, 4], "1464": [4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 2, 1, 4, 1, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 3, 3, 2, 4, 4, 4, 5, 4, 4, 3, 4, 2, 5, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4], "3585": [5, 3, 4, 4, 3, 1, 5, 3, 5, 4, 5, 4, 2, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 2, 3, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 1, 5, 1, 3, 3, 4, 5, 4, 2, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 2, 4, 5, 3, 3, 4, 3, 3, 5, 4, 2, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 5, 3, 5, 4, 5, 4, 4, 4, 1, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 5, 1, 5, 3, 4, 3, 4, 3, 3, 2, 4, 5, 3, 4, 3, 4, 2, 4, 5, 4, 5, 3, 3, 3, 2, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 2, 5, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 4, 5, 4, 3, 2, 2, 5, 3, 1, 4, 4, 4, 5, 5, 4, 3, 2], "3100": [5, 5, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4], "5620": [3, 4, 4, 3, 5, 4, 5, 4, 3, 5, 2, 4, 4, 3, 3, 4, 2, 4, 4, 4, 1, 4, 4, 3, 3, 4, 4, 2, 4, 4, 5, 5, 1, 3, 4, 1, 1, 4, 3, 4, 3, 2, 2, 5, 2, 3, 1, 4, 5, 4, 3, 3, 3, 1, 3, 3, 3, 3, 2, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 3, 3, 4, 5, 3, 5, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 5, 2, 4, 1, 4, 4, 5, 5, 4, 2, 4, 3, 3, 4, 5, 2, 3, 5, 4, 4, 4, 4, 4, 3, 2, 5, 3, 3, 3, 4, 2, 4, 2, 4, 5, 2, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 3, 3, 3, 5, 5, 2, 4, 4, 5, 5, 4, 2, 1, 1, 3, 1, 3, 2, 2, 2, 2, 4, 4, 5, 4, 5, 4, 3, 3, 3, 3, 2, 5, 4, 4, 5], "3370": [2, 3, 1, 2, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 5, 5, 2, 3, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 2, 2, 4, 2, 5, 4, 1, 4, 4, 5, 1, 4, 2, 3, 5, 2, 1, 3, 4, 3, 1, 4, 4, 4, 3, 5, 1, 3, 5, 5, 3, 3, 2, 3, 3, 2, 2, 4, 3, 4, 3, 3, 2, 1, 3, 5, 4, 3, 1, 4, 4, 4, 1, 1, 3, 4, 3, 4, 2, 2, 5, 2, 4, 1, 4, 2, 5, 2, 1, 4, 4, 3, 5, 2, 5, 5, 5, 4, 2, 3, 3, 4, 2, 3, 3, 4, 2, 4, 3, 5, 2, 2, 2, 1, 4, 4, 5, 3, 3, 3, 3, 5, 3, 5, 5, 3, 4, 4, 2, 4, 3, 1, 5, 5, 4, 5, 2, 4, 5, 3, 5, 4, 5, 3, 4, 3, 4, 2, 2, 2, 2, 4], "2246": [4, 5, 4, 4, 4, 1, 4, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 3, 3, 5, 5, 3, 4, 4, 2, 2, 1, 5, 5, 3, 5, 2, 2, 5, 3, 5, 5, 5, 4, 1, 1, 5, 4, 5, 2, 3, 5, 5, 4, 5, 4, 4, 4, 2, 4, 4, 5, 3, 4, 3, 4, 5, 5, 4, 5, 5, 5, 1, 2, 2, 4, 4, 5, 3, 4, 3, 5, 5, 4, 5, 2, 4, 5, 5, 3, 5, 3, 3, 4, 3, 2, 1, 3, 5, 5, 3, 4, 2, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 4, 1, 5, 1, 3, 5, 4, 4, 5, 5, 5, 1, 3], "1677": [3, 2, 5, 5, 5, 1, 5, 4, 5, 5], "1623": [4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3], "2288": [2, 5, 3, 2, 5, 1, 5, 1, 5, 4, 2, 4, 5, 4, 2, 2, 1, 2, 3, 5, 3, 2, 2, 1, 2, 3, 5, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 5, 2, 3, 2, 3, 3, 3, 4, 5, 4, 2, 4, 4, 5, 4, 4, 1, 4, 1, 5, 4, 5, 5, 4, 4, 1, 5, 5, 2, 2, 5, 1, 5, 3, 4, 5, 4, 3, 2, 5, 4, 5, 4, 5, 1, 3, 5, 5, 5, 1, 5, 4, 3, 2, 5, 4, 4, 4, 2, 3, 1, 2, 2, 4, 3, 3, 3, 4, 2, 5, 5, 3, 5, 4, 3, 3, 5, 4, 1, 4, 4, 1, 2, 4, 3, 4, 3, 3, 1, 2, 2, 1, 3, 4, 1, 3, 3, 5, 3, 2, 2, 4, 2, 3, 2, 4, 1, 4, 3, 2, 3, 3, 5, 4, 5, 2, 1, 3, 3, 3, 3, 4, 3, 1, 1, 2, 3, 1, 3, 5, 3, 1, 5, 2, 4, 2, 4, 1, 4, 1, 1, 2, 4, 4, 3, 4, 4, 4, 2, 2, 4, 1, 2, 4, 4, 3, 2, 2, 4, 5, 4, 5, 2, 2, 2, 2, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 5, 3, 2, 1, 5, 2, 1, 4, 4, 3, 2, 1, 3, 2, 4, 5, 3, 4, 3, 1, 1, 4, 1, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 3, 5, 2, 5, 3, 2, 4, 2, 4, 2, 1, 2, 4, 4, 1, 1, 4, 3, 2, 2, 5, 2, 1, 1, 4, 2, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 2, 3, 5, 3, 5, 3, 4, 4, 3, 3, 3, 2, 1, 2, 3, 2, 1, 4, 2, 3, 5, 1, 3, 3, 4, 4, 3, 4, 2, 2, 1, 3, 3, 5, 4, 5, 3, 1, 4, 1, 3, 4, 5, 4, 2, 1, 4, 4, 2, 1, 2, 4, 3, 4, 2, 2, 1, 4, 4, 3, 4, 2, 5, 3, 4, 3, 4, 1, 3, 4, 3, 2, 3, 2, 4, 3, 3, 2, 2, 4, 2, 1, 1, 1, 2, 3, 3, 2, 5, 3, 3, 1, 2, 1, 2, 1, 3, 5, 2, 2, 5, 2, 5, 5, 5, 5, 4, 3, 5, 5, 3, 2, 5, 2, 3, 4, 5, 4, 1, 4, 3, 5, 5, 4, 5, 3, 5, 4, 4, 4, 1, 3, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 2, 1, 3, 3, 1, 5, 2, 1, 3, 4, 5, 2, 1, 4, 2, 4, 3, 2, 4, 5, 4, 2, 5, 5], "5098": [2, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 5, 4, 4, 4, 2, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 5, 1, 3, 3, 1, 3, 4, 3, 3, 4, 3, 5, 3, 2, 3, 3, 4, 4, 3, 3, 2, 1, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 1, 3, 3, 3, 3, 4, 1, 4, 2, 1, 5, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 2, 4, 5, 3, 4, 2, 4, 4, 2, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 2, 2, 3, 5, 2, 5, 3, 2, 2, 4, 2, 3, 2, 3, 3, 5, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 1, 3, 3, 3, 1, 2, 3, 4], "969": [1, 1, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5], "3438": [5, 5, 5, 2, 3, 5, 3, 4, 5, 2, 3, 4, 4, 4, 3, 3, 4, 1, 3, 4, 5, 2, 3, 5, 3, 3, 5, 3, 5, 1, 4, 5], "4461": [4, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 4, 2, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5], "3773": [3, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 2, 5, 2, 5, 4, 3, 5, 3, 3, 2, 2, 4, 5, 2, 2, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 4, 3, 2, 4, 3, 4, 3, 3, 4, 3, 4, 4, 2, 5, 3, 3, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 4, 2, 2, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 1, 4, 3, 4, 4, 5, 4, 5, 3, 3, 2, 3, 3, 3, 3, 5, 4, 4, 3, 3, 3, 2, 2, 3, 3, 5, 2, 5, 3, 4, 5, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 2, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 3, 5, 4, 4, 2, 3, 3, 2, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 2, 3, 2, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 1, 4, 4, 4, 2, 3, 3, 4, 4, 3, 2, 2, 3, 2, 3, 4, 4, 5, 2, 4, 3, 4, 4, 2, 1, 5, 4, 4, 3, 2, 5, 3, 4, 4, 3, 4, 4, 5, 4, 3, 3, 3, 2, 3, 3, 3, 5, 3, 4, 5, 3, 3, 4, 4, 2, 3, 2, 3, 4, 5, 3, 4, 3, 3, 2, 3, 5, 4, 4, 1, 4, 3, 4], "4240": [3, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 2, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3], "2013": [3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 3, 2, 5, 4, 4, 4, 2, 5, 2, 3, 5, 5, 5, 5, 3, 3, 4, 2, 3, 4, 5, 3, 5, 4, 3, 5, 5, 5, 5, 4, 2, 4, 2, 3, 2, 3, 5, 5, 3, 3, 3, 4, 4, 3, 5, 4, 4, 2, 3, 5, 4, 5, 3, 5, 3, 2, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4], "5661": [5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 3, 3, 1, 5, 3, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 3, 5, 4, 3, 3, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 2, 4, 5, 1, 5, 4, 4, 5, 5, 3, 5, 4, 5, 3, 3, 4, 3, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 5, 5, 4, 3, 3, 1, 3], "2597": [4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4], "179": [1, 1, 1, 5, 4, 3, 3, 4, 3, 5, 3, 3, 4, 3, 3, 4, 3, 3, 1, 3, 3, 4, 3, 3, 3, 1, 3, 1, 1, 2, 4, 3, 3, 4, 4, 1, 1, 3, 3, 1, 3, 1, 3, 4, 4, 3, 1, 1, 3, 4, 3, 2, 1, 4, 3, 1, 1, 1, 2, 1, 4, 3, 4, 4, 1, 3, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 1, 4, 2, 3, 3, 4, 1, 3, 2, 3, 3, 5, 4, 1, 4, 3, 2, 1, 2, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 1], "3716": [3, 2, 1, 2, 2, 4, 4, 4, 1, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 2, 2, 1, 5, 4, 1, 5, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 3, 1, 4, 3, 1, 5, 5, 5, 1, 4, 1, 1, 5, 5, 4, 4, 4, 1, 4, 2, 1, 4, 5, 1, 5, 4, 5, 4, 1, 4, 5, 3, 2, 4, 5, 4, 5, 5, 5, 4, 1, 3, 3, 5, 1, 3, 1, 1, 1, 1, 4, 5, 4, 3, 4, 3, 1, 4, 5, 3, 4, 4, 4, 3, 2, 4, 3, 4, 2, 5, 5, 4, 4, 5, 4, 2, 4, 4, 1, 4, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 5, 2, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 1, 1, 4, 5, 1, 2, 1, 4, 4, 4, 4, 3, 3, 4, 5, 5, 1, 3, 4, 5, 3, 3, 5, 5, 4, 5, 3, 5, 4, 2, 4, 1, 5, 1, 3, 4, 5, 3, 5, 5, 5, 4, 3, 3, 4, 2, 4, 4, 1, 1, 4, 1, 3, 5, 4, 5, 1, 4, 2, 2, 2, 5, 4, 5, 2, 5, 5, 1, 1, 4, 5, 5, 5, 4, 4, 1, 3, 3, 2, 5, 4, 2, 1, 5, 4, 3, 5, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 1, 2, 3, 5, 5, 5, 5, 4, 1, 2, 1, 5, 5, 5, 4, 5, 3, 2, 4, 3, 4, 3, 5, 5, 4, 1, 4, 4, 5, 1, 5, 4, 2, 4, 5, 5, 5, 5, 4, 1, 5, 1, 4, 5, 3, 1], "3214": [5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 3, 5, 3, 5, 4, 4, 5, 5, 4], "5009": [3, 1, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 1, 4, 5, 4, 5, 5, 1, 5, 4, 3, 4, 5, 1, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 4, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5], "2390": [3, 4, 5, 5, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3], "4993": [4, 4, 5, 5, 3, 3, 5, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 1, 5, 4, 4, 5, 4, 3, 3, 5, 4, 3], "2363": [5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5], "2915": [4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 2, 2, 2, 4, 3, 4, 4, 4, 4, 3, 5, 2, 4, 4, 5, 3, 4, 2, 3, 5, 4, 5, 5, 4, 5, 3, 3, 4, 2, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5], "6016": [1, 3, 4, 3, 3, 3, 4, 5, 4, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 3, 3, 5, 4, 3, 4, 2, 3, 4, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 4, 5, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 3, 5, 2, 4, 5, 5, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 2, 4, 5, 3, 2, 2, 4, 4, 1, 1, 4, 1, 3, 3, 3, 2, 3, 2, 2, 5, 4, 2, 3, 3, 3, 2, 5, 4, 3, 3, 3, 5, 3, 3, 5, 3, 3, 2, 2, 2, 4, 5, 1, 3, 3, 2, 3, 4, 3, 4, 2, 2, 3, 2, 1, 1, 3, 3, 3, 4, 2, 5, 4, 3, 3, 5, 1, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 5, 1, 3, 3, 2, 4, 3, 3, 3, 2, 4, 4, 3, 3, 1, 2, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 3, 4, 3, 4, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4, 2, 2, 2, 4, 3, 4, 3, 5, 4, 4, 2, 2, 5, 3, 3, 4, 3, 2, 4, 4, 3, 3, 3, 2, 4, 3, 3, 4, 5, 5, 3, 2, 3, 3, 4, 2, 2, 2, 1, 3, 3, 3, 2, 5, 3, 3, 1, 1, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 2, 2, 3, 4, 1, 3, 3, 5, 3, 4, 2, 3, 1, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 3, 3, 4, 3, 5, 3, 2, 4, 4, 2, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 3, 4, 2, 2, 4, 4, 2, 2, 4, 2, 2, 4, 3, 3, 3, 4, 2, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 2, 3, 1, 3, 4, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 3, 5, 2, 3, 4, 3, 2, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 2, 5, 3, 4, 3, 3, 3, 2, 3, 2, 2, 4, 2, 2, 2, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 3, 3, 5, 4, 3, 5, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 1, 4, 3, 2, 1, 3, 1, 2, 3, 2, 2, 1, 3, 2, 2, 3, 3, 2, 3, 3, 4, 1, 1, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 5, 3, 2, 5, 3, 5, 5, 1, 3, 4, 4, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 1, 4, 3, 2, 5, 1, 3, 3, 5, 4, 3, 5, 4, 3, 3, 3, 4, 3, 4, 1, 3, 3, 4, 3, 4, 3, 5, 3, 1, 2, 3, 2, 5, 3, 2, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 1, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 2, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 4, 2, 3, 4, 2, 5, 3, 2, 4, 4, 5, 3, 2, 1, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 3, 2, 5, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 1, 3, 4, 1, 2, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 2, 5, 3, 3, 1, 3, 4, 2, 4, 4, 4, 3, 2], "2690": [3, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4], "4254": [5, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5], "2202": [1, 1, 1, 1, 3, 5, 4, 3, 1, 4, 1, 2, 3, 5, 2, 3, 2, 3, 2, 5, 4, 4, 1, 1, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 1, 3, 5, 4, 3, 4, 4, 2, 3], "2933": [5, 2, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 4, 5, 3, 4, 3, 2, 4, 1, 3, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 4, 3, 4, 5, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 4, 3, 4, 5, 5, 4, 2, 1, 1, 3, 3, 4, 4, 5, 5, 2, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4], "4772": [5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 1, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 5, 3, 1, 2, 4, 4, 3, 4, 3, 4, 3], "3116": [3, 5, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4], "5912": [3, 4, 3, 5, 3, 1, 2, 4, 1, 4, 4, 3, 4, 2, 3, 2, 4, 4, 5, 5, 5, 3, 4, 5, 4, 3, 5, 3, 5, 4, 4, 3, 3, 4, 5, 1, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 5, 5, 5, 4, 4, 3, 4, 1, 4, 3, 3, 2, 5, 3, 3, 5, 4, 5, 3, 4, 5, 5, 2, 4, 1, 4, 2, 1, 5, 3, 3, 2, 4, 3, 5, 4, 5, 4, 4, 3, 4, 1, 4, 3, 3, 4, 4, 3, 4, 2, 5, 4, 4, 5, 4], "3777": [3, 3, 3, 5, 2, 3, 3, 3, 1, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 3, 5, 4, 3, 3, 3, 4, 3, 5, 2, 2, 4, 4, 3, 4, 3, 5, 4, 3, 3, 4, 2, 2, 5, 5, 4, 5, 5, 3, 3, 3, 1, 3, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 3, 5, 4, 3, 4, 5, 3, 3, 5, 2, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 5], "3884": [4, 1, 4, 1, 4, 4, 4, 5, 2, 4, 4, 1, 3, 2, 3, 3, 4, 2, 4, 2, 2, 4, 3, 4, 5, 1, 5, 2, 2, 1, 1, 5, 3, 4, 2, 5, 2, 5, 2, 2, 2, 4, 4, 2, 3, 2, 5, 2, 1, 2, 1, 5, 2, 3, 3, 3, 4, 2, 5, 1, 3, 1, 2, 3, 2, 5, 4, 2, 4, 4, 2, 2, 4, 4, 2, 4, 2, 2, 2, 5, 4, 3, 2, 2, 1, 2, 5, 4, 1, 2, 3, 2, 3, 2, 1, 4, 2, 2, 5, 2, 4, 4, 1, 1, 2, 3, 2, 2, 2, 1, 4, 4, 2, 2, 3, 4, 3, 3, 5, 3, 3, 1, 4, 2, 2, 2, 4, 2, 1, 2, 4, 2, 3, 3, 4, 3, 2, 1, 2, 1, 2, 2, 3, 5, 3, 5, 2, 1, 2, 2, 2, 2, 3, 4, 5, 3, 2, 3, 2, 5, 1, 4, 5, 1, 1, 1, 1, 2, 2, 2, 4, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 2, 2, 3, 3, 3, 5, 3, 3, 2, 3, 2, 2, 3, 1, 2, 4, 3, 4, 3, 5, 1, 4, 5, 2, 4, 2, 3, 5, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 4, 5, 4, 3, 2, 2, 4, 5, 3, 3, 3, 4, 2, 2, 4, 3, 1, 4, 3, 2, 5, 3, 4, 4, 5, 2, 2, 3, 3, 3, 4, 1, 5, 3, 4, 5, 3, 2, 3, 5, 2, 4, 4, 2, 2, 3, 4, 2, 4, 1, 4, 2, 3, 2, 1, 2, 2, 2, 1, 3, 4, 1, 4, 2, 3, 2, 2, 5, 1, 2, 1, 3, 1, 4, 5, 2, 3, 4, 2, 3, 4, 2, 4, 3, 3, 2, 3, 3, 1, 4, 3, 1, 1, 5, 5, 4, 1, 4, 2, 1, 2, 1, 1, 2, 2, 1, 3, 1, 2, 2, 2, 1, 1, 2, 3, 3, 4, 3, 4, 2, 1, 1, 1, 4, 2, 3, 3, 3, 2, 2, 3, 3, 4, 4, 3, 1, 4, 2, 3, 2, 2, 1, 3, 1, 4, 4, 3, 3, 4, 3, 1, 2, 2, 5, 2, 5, 3, 2, 1, 2, 3, 2, 2, 3, 4, 2, 4, 1, 3, 3, 2, 3, 4, 3, 4, 4, 2, 1, 4, 1, 4, 3, 2, 1, 3, 3, 2, 4, 2, 3, 3, 1, 4, 1, 2, 1, 4, 3, 2, 1, 2, 1, 5, 4, 1, 3, 1, 2, 2, 2, 2, 2, 3, 2, 4, 3, 4, 2, 4, 2, 3, 5, 2, 3, 5, 2, 5, 3, 2, 3, 3, 1, 2, 2, 4, 3, 3, 1, 1, 3, 5, 4, 2, 2, 3, 2, 1, 2, 2, 1, 5, 2, 2, 2, 4, 2, 4, 1, 3, 2, 2, 3, 3, 5, 3, 1, 3, 2, 5, 3, 1, 3, 4, 4, 2, 4, 3, 4, 4, 4, 2, 2, 5, 3, 2, 2, 5, 4, 2, 3, 2, 1, 1, 2, 3, 4, 2, 5, 4, 2, 2, 3, 4], "5438": [4, 5, 4, 4, 5, 4, 2, 1, 3, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 2, 3, 2, 1, 4, 2, 1, 4, 2, 4, 5, 2, 3, 1, 1, 4, 3, 5, 2, 5, 3, 4, 4, 5, 3, 5, 4, 4, 3, 3, 3, 5, 4, 1, 4, 4, 2, 3, 3, 3, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 3, 3, 1, 5, 1, 4, 5, 4, 3, 4, 4, 4, 5, 4], "4890": [3, 5, 4, 5, 4, 4, 3, 5, 2, 3, 2, 4, 3, 2, 3, 3, 4, 4, 4, 3, 4, 1, 5, 3, 1, 4, 1, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 2, 3, 2, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 3, 3, 4, 5, 4, 3, 5, 5, 3, 5, 4, 3, 2, 3, 2, 4, 3, 4, 5, 5, 2, 5, 4, 3, 2, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 1, 4, 4, 3, 4, 3, 1, 2, 2, 4, 3, 4, 4, 3, 2, 1, 3, 4, 4, 3, 2, 1, 4, 4, 4, 2, 5, 3, 1, 3, 1, 2, 4], "5729": [5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 1, 4, 4], "1106": [5, 5, 4, 5, 3, 4, 5, 3, 2, 4, 3, 2, 4, 2, 3, 3, 5, 2, 3, 3, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 2, 3, 2, 5, 5, 3, 2, 4, 4, 2, 5, 2, 4, 5, 3, 5, 4, 5, 5, 5, 3, 4], "2930": [3, 5, 5, 5, 2, 1, 2, 4, 5, 1, 3, 4, 3, 1, 4, 3, 4, 4], "508": [4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 2, 2, 1, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 1, 4, 3, 4, 3, 3, 5, 2, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 1, 2, 3, 4, 4, 4, 4, 4, 2, 3, 2, 4, 4, 1, 1, 3, 1, 1, 4, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 3, 4, 1, 3, 4, 1, 2, 2, 3, 3, 1, 3, 4, 2, 4, 4, 3, 4, 4, 4, 5, 3, 4, 2, 4, 5, 4, 5, 5, 2, 4, 3, 4, 3, 3, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 1, 4, 4, 3], "1756": [3, 1, 5, 4, 5, 5, 4, 4, 4, 5, 5], "3933": [5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 3, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2], "2108": [5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 1, 4, 5, 4, 5, 3], "2398": [2, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 3, 2, 4, 4, 3, 5, 4, 3, 5, 4, 2, 4, 2, 5, 5, 5, 5, 5, 4, 5, 2, 5, 4, 4, 3, 4, 3, 4, 2, 3, 5, 3, 5, 5, 4, 4, 5, 5, 3, 4, 4, 2, 5, 3, 5, 3, 5, 5, 5, 5, 3, 2, 3, 5, 2, 3, 5, 5, 5, 5, 3, 4], "3672": [4, 3, 5, 2, 4, 1, 4, 4, 1, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 2, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 1, 2, 4, 4, 3, 2, 2, 4, 3, 4, 4, 2, 3, 4, 3, 5, 2, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 1, 3, 4, 4, 1, 4, 3, 4, 2, 3, 1, 3, 4, 3, 1, 3, 4, 2, 1, 2, 4, 5, 2, 2, 5, 3, 1, 4, 4, 3, 4, 5, 4, 1, 2, 2, 2, 2, 4, 4, 5, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 4, 4, 3, 4, 5, 5, 3, 2, 3, 4, 3, 4, 2, 4, 5, 4, 5, 4, 4, 3, 4, 5, 3, 3, 4, 5, 5, 1, 3, 2, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 2, 2, 3, 2, 1, 4, 2, 1, 4, 4, 3, 3, 5, 2, 3, 2, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 1, 3, 4, 1, 2, 3, 4, 2, 4, 2, 3], "929": [5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 3, 5, 4, 4, 3, 5, 4, 3, 1, 1, 4, 5, 4, 5, 5, 2, 1, 4, 5, 4, 4, 4, 1, 1, 4, 2, 4, 1, 5, 5, 3, 4, 4, 4, 4, 5, 2, 4, 3, 3, 5, 4, 4, 5, 5, 3, 4, 5, 1, 5, 3, 4, 4, 5, 4, 2, 3, 3, 1, 4, 4, 3, 3, 1, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 3, 3, 4, 5, 4, 1, 1, 1, 1, 2, 3, 4, 4, 4, 5, 2, 5, 5, 1, 4, 5, 1, 5, 5, 5, 3, 4, 2, 5, 4, 4, 5, 3, 4, 3, 2, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 1, 4, 4, 3, 4, 1, 3, 1, 4, 3, 1, 4, 4, 4, 1, 3, 1, 4, 4, 3, 1, 5, 3, 1, 5, 5, 3, 4, 4, 4, 4, 5, 4, 1, 5, 3, 4, 4, 5, 4, 5, 3, 1, 4, 3, 4, 4, 3, 3, 4, 2, 4, 5, 4, 4, 4, 5, 4, 4, 5, 1, 4, 3, 4, 4, 3, 3, 4, 2, 3, 4, 4, 3, 5, 1, 3, 5, 4, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 5, 3, 5, 2, 5, 5, 4, 4, 4, 5, 3, 5, 4, 2, 4, 5, 5, 5, 3, 4, 3, 5, 3, 3, 4, 4, 5, 5, 4, 3, 5, 2, 4, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4], "4805": [5, 5, 2, 5, 3, 3, 3, 4, 4, 2, 3, 5, 2, 4, 2, 4, 5], "2885": [4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 1, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 5, 2, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 3, 5, 4, 5, 5, 4, 4], "989": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5], "3296": [4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5], "5161": [1, 2, 1, 2, 3, 1, 3, 4, 4, 4, 3, 3, 1, 2, 5, 5, 3, 3, 2, 3, 3, 3, 3, 4, 1, 3, 2, 1, 1, 1, 4, 3, 4, 4, 1, 1, 3, 4, 3, 1, 1, 4, 2, 4, 5, 4, 1, 1, 1, 4, 3, 4, 4, 1, 4, 1, 1, 5, 1, 3, 5, 4, 3, 3, 2, 4, 5, 1, 5, 5, 5, 3, 2, 1, 2, 1, 4, 4, 4, 3, 3, 4, 4, 1, 2, 1, 5, 5, 2, 4, 4, 5, 3, 4, 1, 2, 4, 2, 3, 3, 4, 3, 5, 4, 3, 4, 1, 1, 4, 3, 3, 4, 1, 2, 4, 5, 3, 2, 2, 4, 4, 3, 5, 3, 5, 3, 4, 1, 5, 4, 5, 4, 5, 4, 5, 4, 5, 1, 2, 4, 2, 5, 5, 4, 5, 2, 3, 3, 4, 5, 4, 3, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 1, 4, 1, 3, 3, 4, 2, 5, 5, 5, 3, 2, 3, 4, 4, 4, 4, 3, 5, 4, 1, 4, 4, 1, 4, 4, 2, 1, 5, 2, 4, 3, 1, 3, 3, 1, 3, 2, 2, 4, 1, 4, 2, 3, 2, 2, 4, 3, 3, 1, 4, 4, 3, 5, 5, 3, 1, 3, 5, 2, 1, 3, 5, 3, 1, 2, 1, 1, 1, 2, 1, 2, 4, 2, 4, 4, 4, 4, 4, 1, 2, 5, 1, 5, 3, 3, 2, 1, 3, 2, 2, 5, 4, 5, 3, 3, 4, 2, 4, 3, 4, 4, 3, 5, 5, 5, 3, 5, 2], "4265": [5, 5, 3, 4, 2, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 2, 3, 2, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 2, 5, 2, 3, 5, 3, 3, 5, 5, 5, 4, 4, 5, 5, 3, 1, 3, 3, 2, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 3, 3, 5, 2, 4, 4, 5, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 5, 4, 2, 4, 3, 5, 2, 1, 2, 5, 4, 5, 4, 4, 5, 4, 5, 3, 3, 5, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 1, 5, 3, 2, 3, 4, 5, 2, 5, 4, 5, 4, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 5, 4, 4, 2, 3, 3, 2, 4, 5, 5, 4, 2, 3, 3, 5, 4, 5, 2, 5, 3, 4, 5, 3, 4, 5, 4, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4], "1042": [3, 4, 2, 2, 1, 4, 2, 3, 2, 2, 1, 3, 4, 2, 3, 5, 4, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 4, 1, 2, 4, 3, 5, 4, 4, 3, 3, 3, 2, 3, 2, 2, 4], "5323": [4, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 1, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 1, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 2, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 4, 4, 1, 5, 4, 5, 5, 5, 5, 2, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 3, 1, 5, 3, 2, 4, 4, 4, 3, 5, 1, 2, 4, 5, 2, 3, 5, 5, 4, 4, 4, 2, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 2, 2, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 2, 5, 4, 5, 4, 4, 4, 3, 5], "3436": [3, 4, 5, 5, 5, 5, 1, 4, 5, 4, 4, 3, 5, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 4, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 2, 4, 1, 5, 5, 3, 3, 3, 5, 4, 1, 1, 5, 4, 3, 4, 5, 4, 3, 5, 5, 1, 4, 4, 2, 5, 4, 4, 4, 5, 3, 5, 2, 5, 5, 4, 3, 3, 2, 5, 5, 3, 2, 4, 5, 5, 4, 3, 5, 4, 5, 4, 3, 5, 4, 4, 3, 1, 5, 4, 3, 5, 3, 4, 5, 3, 5, 4, 1, 3, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 3, 4, 4, 1, 5, 4, 3, 5, 3, 4, 3, 3, 3, 5, 3, 4, 5, 4, 5, 3, 3], "3563": [4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 5, 2, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 5, 5, 2, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 1, 5, 4, 3, 3, 4, 4, 3, 4, 3, 5, 3, 5, 3, 3, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 2, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 2, 4, 1, 4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 5, 3, 4, 4, 3, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5], "3155": [2, 3, 4, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 1, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5], "1110": [4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4], "3287": [4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5], "5734": [2, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 2, 4, 3, 3, 4, 4, 2, 5, 5, 3, 4, 2, 4, 4, 5, 5, 2, 5, 5, 5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5, 2, 3, 4, 3, 4, 4, 3, 3, 5, 3, 4, 4, 5, 3, 4, 1, 5, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 5, 4, 2, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 3, 5, 3, 3, 3, 3, 2, 5, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 2, 3, 5, 4, 4, 5, 5, 2, 1, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4], "3465": [3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 1, 4, 5, 4, 5, 2, 3, 2, 3, 4, 3, 4, 3, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 4], "4350": [4, 3, 3, 5, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 4, 5, 5, 5, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 2, 4, 2, 3, 3, 3, 2, 3, 1, 2, 4, 4, 3, 5, 5, 3, 3, 5, 5, 3, 4, 4, 5, 4, 3, 4, 3, 5], "1286": [4, 3, 4, 3, 5, 5, 4, 3, 3, 1, 3, 4, 4, 5, 4, 4, 4, 4, 2, 5, 3, 3, 4, 4, 5, 4, 2, 3, 3, 1, 5, 2, 2, 4, 3, 5], "1650": [4, 3, 3, 2, 5, 4, 4, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 3, 3, 3, 2, 3, 5, 1, 3, 4, 4, 3, 4, 3, 2, 2, 3, 5, 3, 2, 3, 4, 4, 3, 3, 5, 3, 5, 4, 5, 5, 3, 4, 3, 5, 4, 3, 5, 3, 3, 3, 3, 5, 3, 5, 4, 3, 4, 3, 3, 4, 3, 2, 5, 3, 5, 3, 3, 4, 5, 3, 3, 3, 4, 3, 2, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 2, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4], "1465": [4, 3, 5, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 2, 4, 3, 5, 5, 1, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 3, 4, 1, 4, 3, 2, 2, 5, 4, 4, 3, 5, 2, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 2, 5, 4, 2, 2, 5, 4, 5, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 1, 3, 1, 4, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 3, 4, 5, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 3, 4, 4, 4, 5, 4, 3, 2, 4, 5, 5, 4, 4, 4, 4, 2, 3, 2, 4, 5, 2, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 2, 5, 3, 4, 4, 3, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 2, 3, 3, 5, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 3, 3, 4, 5, 3, 5, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 5, 3, 3, 3, 2, 3, 1, 3, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 1, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 3, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 2, 2, 3, 3, 4, 3, 4, 1, 5, 5, 4, 5, 4, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 3, 5, 4, 2, 3, 3, 4, 4, 3, 4, 4, 3, 3, 5, 2, 3, 3, 3, 4, 4, 4, 3, 2, 4, 2, 2, 3, 5, 5, 3, 2, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 3, 4, 1, 4, 5, 5, 3, 2, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 2, 4, 5, 4, 4, 5, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 3, 5, 5, 5], "427": [4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 3, 3], "2491": [1, 1, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 5, 4, 3, 4, 3, 4, 4, 4, 5, 3, 1, 4, 4, 1, 5, 1, 1, 4, 4, 4, 4, 3, 5, 4, 5, 1, 2, 4, 1, 4, 1, 4, 4, 2, 1, 1, 5, 3, 5, 3, 4, 4, 5, 5, 5, 1, 4, 5, 5, 1, 1, 1, 1, 1, 1, 4, 4, 4, 3, 4, 5, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5, 4, 4, 5, 2, 4, 5, 5, 1, 4, 1], "1201": [4, 5, 5, 3, 5, 3, 5, 3, 5, 5, 4, 3, 2, 4, 4, 2, 3, 4, 4, 4, 5, 4], "5518": [4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 2, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 2, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 2, 2, 4, 4, 5, 4, 4], "3534": [5, 5, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 4, 3, 1, 5, 4, 5, 4, 4, 4, 5], "4610": [3, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 1, 2, 3, 5, 2, 2, 1, 2, 4, 3, 2, 4, 2, 2, 5, 5, 3, 3, 4, 5, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 2, 1, 2, 1, 1, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 2, 2, 5, 4, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 2, 3, 4, 3, 3, 3, 5, 4, 3, 4, 2, 2, 1, 3, 4, 2, 2, 4, 1, 3, 2, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 3, 2, 4, 5, 2, 2, 4, 5, 3, 5, 4], "3146": [4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 2, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4], "453": [4, 1, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 5, 4, 5, 3, 2, 4, 4, 4, 2, 5, 4, 5, 4, 5, 2, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 2, 3, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 3, 4, 5, 5, 2, 3, 4, 2, 5, 5, 2, 3, 4, 3, 4, 3, 1, 1, 1, 3, 5, 5, 5, 5, 3, 2, 2, 4, 4, 2, 4, 3, 3, 5, 3, 5, 5, 1, 1, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 3, 4, 4, 2, 2, 5, 3, 4, 5, 5, 4, 3, 2, 2, 4, 3, 5, 3, 3, 5, 2, 4, 3, 2, 3, 3, 2, 3, 5, 4, 3, 5, 5, 3, 1, 3, 2, 4, 4, 3, 4, 4, 4, 5, 2, 3, 2, 5, 4, 5, 2, 4, 5, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 4, 3, 5, 5, 4, 5, 2, 4, 4, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 2, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 2, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5], "5815": [3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 1, 3, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 1, 3, 5, 5, 2, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 3, 5, 1, 5, 5, 3, 3], "5676": [2, 5, 4, 1, 4, 1, 3, 1, 3, 2, 5, 3, 4, 3, 1, 1, 1, 2, 4, 4, 1, 3, 5, 4, 4, 3, 5, 5, 1, 4, 5, 3, 3, 2, 1, 3, 1, 4, 2, 4, 1, 5, 4, 2, 3, 4, 1, 3, 2, 4, 1, 3, 4, 5, 4, 4, 2, 5, 4, 4, 4, 4, 2, 2, 3, 1, 4, 1, 2, 4, 1, 4, 1, 1, 1, 5, 4, 2, 1, 3, 3, 1, 2, 4, 1, 1, 2, 2, 3, 4, 3, 1, 3, 4, 2, 3, 3, 2, 3, 1, 4, 3, 3, 4, 4, 3, 4, 2, 3, 2, 1, 2, 3, 1, 4, 5, 1, 3, 1, 2, 4, 1, 3, 3], "2282": [2, 5, 5, 5, 3, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 5, 3, 5, 4, 3, 5, 3, 4, 4, 3, 3, 5, 4, 3, 5, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 3, 5, 3, 4, 4, 3, 3, 4, 2, 5, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 2, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5], "5570": [3, 5, 5, 5, 3, 3, 4, 2, 3, 3, 2, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 5, 3, 4, 2, 4, 3, 4, 4, 4, 3, 2, 4, 5, 2, 4, 4, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 3, 3, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 5, 4, 4, 3, 4, 5, 4, 3, 5, 2, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 1, 4, 5, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 2, 2, 5, 5, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 2, 3, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 1, 4, 4, 5, 4, 5, 3, 3, 5, 4, 4, 2, 4, 2, 5, 2, 4, 3, 2, 2, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 2, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 5, 5, 5, 2, 4, 4, 4, 4], "5257": [1, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 3, 5, 4, 5, 5, 5, 5, 5, 1, 5, 3, 5, 5, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 2, 4, 5, 2, 1, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 2, 2, 4, 2, 5, 3, 4, 5, 1, 5, 4, 5, 5, 5, 3, 5, 5, 2, 5, 5, 3, 5, 4], "528": [2, 3, 4, 2, 3, 2, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 3, 1, 3, 5, 3, 5, 4, 5, 2, 5, 4, 5, 1, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 3, 4, 3, 4, 3, 1, 4, 4, 3, 3, 1, 2, 5, 4, 2, 4, 2, 5, 4, 2, 5, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 2, 5, 4, 4, 4, 4, 4, 2, 3, 2, 3, 1, 4, 3, 4, 4, 5, 2, 4, 3, 2, 2, 3, 2, 2, 3, 5, 5, 3, 2, 3, 2, 5, 5, 4, 4, 3, 4, 1, 4, 3, 4, 4, 2, 1, 3, 3, 3, 1, 1, 4, 4, 2, 4, 2, 3, 4, 2, 4, 2, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 2, 3, 1, 3, 2, 4, 4, 4, 5, 4, 2, 3, 4, 3, 3, 5, 1, 3, 3, 2, 3, 3, 3, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 5, 4, 5, 5, 4, 3, 4, 3, 4, 2, 2, 3, 4, 4, 2, 3, 3, 5, 1, 4, 4, 4, 3, 2, 2, 4, 4, 1, 3, 3, 5, 3, 4, 4, 3, 1, 3, 4, 4, 3, 5, 4, 2, 1, 1, 4, 4, 1, 3, 5, 3, 2, 4, 3, 3, 3, 3, 3, 5, 4, 3, 4, 1, 4, 2, 3, 3, 4, 2, 5, 5, 4, 4, 2, 3, 4, 3, 3, 2, 5, 2, 1, 3, 3, 2, 1, 4, 3, 3, 3, 2, 2, 4, 3, 3, 4, 2, 4, 1, 4, 3, 4, 1, 3, 2, 4, 4, 3, 2, 3, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 5, 5, 5, 3, 5, 5, 5, 2, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 2, 4, 2, 4, 5, 4, 2, 3, 2, 3, 3, 2, 4, 4, 3, 3, 1, 3, 4, 4, 3, 4, 3, 3, 5, 3, 3, 5, 2, 3, 4, 2, 4, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 3, 3, 1, 3, 2, 3, 4, 3, 3, 4, 5, 2, 3, 2, 2, 4, 3, 4, 3, 3, 3, 5, 4], "3454": [3, 3, 3, 4, 2, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 3, 5, 3, 5, 4, 4, 4, 5, 2, 2, 5, 2, 4, 3, 3, 3, 4, 4, 3, 5, 5, 3, 4, 3, 2, 3, 3, 3, 2, 3, 2, 2, 4, 3, 4, 3, 3, 3, 2, 3, 5, 3, 5, 2, 3, 2, 2, 3, 4, 4, 2, 5, 3, 5, 3, 4, 5, 2, 2, 2, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 5, 4, 2, 4, 5, 3, 4, 2, 5, 4, 3, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 1, 2, 4, 4, 4, 2, 2, 4, 2, 3, 3, 4, 2, 3, 3, 4, 2, 4, 1, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 2, 3, 5, 3, 4, 3, 5, 3, 4, 2, 5, 3, 4, 5, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 5, 5, 5, 3, 5, 3, 3, 3, 2, 2, 2, 5, 4, 5, 5, 3, 3, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 3, 5, 2, 2, 1, 5, 4, 2, 4, 5, 3, 3, 5, 3, 3, 3, 3, 5, 3, 4, 2, 4, 3, 5, 5, 3, 2, 4, 4, 5, 4, 4, 2, 4, 3, 3, 3, 5, 4, 3], "2964": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4], "4738": [4, 3, 5, 5, 5, 5, 4, 1, 3, 5, 2, 4, 3, 3, 5, 5, 4, 3, 3, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 3, 3, 4, 1, 4, 3, 3, 2, 4, 2, 3, 4, 4, 5, 2, 5, 2, 2, 3, 3, 4, 4, 3, 4, 1, 2, 5, 5, 5, 1, 3, 4, 4, 1, 2, 4, 5, 3, 4, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 5, 5, 3, 4, 4, 2, 5, 3, 4, 3, 5, 5, 1, 5, 3, 4, 5, 5, 3, 4, 1, 4, 4, 2, 5, 5, 3, 4, 4, 3, 5, 4, 5, 3, 3, 4, 5, 3, 3, 4, 1, 4, 3, 2, 1, 4, 4, 4, 4, 3, 3, 1, 3, 4, 4, 3, 2, 5, 4, 3, 4, 4, 5, 4, 4, 2, 1, 4, 4, 3, 2, 1, 4, 3, 3, 3, 5, 1, 3, 5, 3, 5, 4, 2, 3, 3, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 1, 2, 2, 3, 5, 1, 5, 5], "3496": [4, 3, 4, 5, 4, 4, 5, 2, 4, 5, 3, 3, 4, 4, 3, 5, 5, 2, 3], "202": [4, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 2, 5, 3, 4, 4, 5, 2, 5, 5, 5, 3, 4, 3, 3, 2, 3, 4, 1, 1, 2, 4, 3, 2, 3, 3, 1, 2, 4, 3, 3, 4, 4, 3, 3, 3, 4, 2, 2, 4, 4, 2, 4, 4, 4, 2, 2, 2, 5, 3, 4, 2, 2, 2, 3, 4, 5, 3, 4, 4, 4, 4, 2, 3, 3, 4, 2, 5, 4, 1, 3, 5, 5, 4, 4, 3, 2, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 4, 4, 5, 5, 5, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 4, 3, 2, 3, 4, 5, 2, 4, 2, 5, 4, 3, 4, 2, 5, 2, 4, 3, 4, 4, 2, 3, 5, 3, 5, 2, 5, 4, 2, 3, 3, 4, 5, 2, 1, 5, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 2, 4, 5, 3, 4, 5, 2, 3, 3, 3, 3, 1, 5, 2, 3, 4, 4, 4, 3, 5, 2, 2, 3, 1, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 5, 2, 2, 5, 3, 4, 2, 3, 4, 3, 3, 3, 2, 5, 4, 3, 4, 3, 3, 3, 3, 3, 2, 5, 3, 4, 3, 2, 2, 3, 4, 3, 2, 5, 1, 3, 5, 5, 3, 3, 4, 2, 3, 3, 3, 4, 3, 2, 4, 1, 4, 2, 5, 3, 3, 4, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 1, 1, 4, 3, 4, 4, 2, 3, 2, 4, 1, 3, 1, 4, 2, 5, 4, 2, 3, 4, 4, 5, 5, 3, 3, 1, 2, 3, 5, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 1, 4, 4, 3, 2, 5, 2, 4, 2, 2, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 1, 5, 3, 4, 2, 2, 5, 4, 3, 4, 3, 5, 3, 4, 3, 2, 3, 2, 3, 4, 4, 2, 2, 3, 3, 4, 3, 5, 3, 5, 5, 2, 3, 4, 3, 4, 2, 4, 4, 4, 1, 3, 2, 5, 2, 4, 2, 3, 3, 4, 2, 1, 2, 2, 1, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 5, 3, 1, 4, 5, 4, 4, 4, 5, 5, 2, 3, 3, 2, 2, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 2, 5, 3, 2, 2, 3, 4, 5, 1, 4, 5, 3, 3, 3, 2, 4, 4, 3, 2, 5, 5, 1, 4, 2, 2, 3, 2, 5, 1, 1, 3, 4, 3, 1, 3, 3, 2, 5, 2, 1, 1, 3, 3, 4, 4, 2, 5, 3, 4, 3, 2, 4, 2, 2, 4, 3, 2, 4, 3, 3, 4, 1, 4, 3, 2], "4528": [1, 4, 4, 4, 3, 4, 2, 4, 5, 5, 4, 5, 4, 4, 4, 2, 3, 4], "4665": [4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5], "327": [5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 2, 5, 3, 5, 5, 4, 2, 3, 5, 2, 3, 4, 5, 3, 3, 4, 4, 5, 5, 3, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 4, 3, 2, 5, 4, 4, 4, 4, 4, 5, 2, 3, 3, 5, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 5, 5, 2, 5, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 2, 2, 5, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 3, 5, 1, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 2, 2, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 1, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 2, 4, 5, 1, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 2, 4, 3, 1, 5, 3, 5, 4, 3, 5, 4, 4, 3, 4, 5], "5544": [4, 5, 5, 3, 5, 5, 4, 5, 4], "1228": [4, 4, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 3, 5, 5, 1, 4, 3, 4, 1, 5, 5, 4, 5, 3, 5, 5, 3, 4, 4, 2, 4, 3, 2, 4, 4, 3, 4, 3, 1, 1, 3, 5, 1, 5, 5, 2, 5, 5, 4, 4, 5, 3, 5, 5, 3, 4, 2, 5, 4, 3, 4, 4, 5, 5, 4, 4, 2, 4, 4, 5, 2, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 1, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 3, 1, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 1, 4, 4, 2, 2, 5, 2, 2, 4, 2, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 2, 3, 2, 3, 3, 4, 3, 5, 3, 3, 5, 4, 5, 4, 3, 4, 5, 3, 2, 3, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 2, 3], "2183": [4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4], "456": [3, 3, 4, 4, 4, 4, 5, 3, 2, 3, 3, 2, 4, 4, 4, 5, 1, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 5, 2, 2, 4, 3, 3, 3, 3, 4, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 3, 1, 4, 4, 4, 4, 4, 5, 4, 4, 2, 3, 5, 2, 2, 2, 5, 4, 5, 4, 2, 4, 4, 2, 3, 4, 3, 5, 4, 5, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 5, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 5, 4, 3, 2, 4, 3, 2, 4, 4, 3], "4954": [4, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 2, 5, 4, 3, 4, 3, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 2, 3, 3, 4, 5, 5, 3, 3, 5, 3, 5, 3, 5, 2, 4, 5, 5, 5, 3, 5, 4, 5, 3, 4, 4, 3, 1, 4, 5, 3, 2, 5, 4, 5, 2, 2, 4, 2, 2, 2, 3, 4, 4, 4, 2, 5, 1, 1, 1, 2, 5, 4, 3, 5, 5, 1, 1, 2, 5, 2, 3, 2, 1, 3, 3, 1, 1, 1, 5, 3, 3, 2, 3], "1296": [3, 4, 5, 5, 3, 4, 4, 2, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 4], "5093": [4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 2, 4, 4, 3, 4, 4, 5, 3, 4, 4, 1, 4, 4, 2, 3, 4, 5, 5, 3, 5, 3, 5, 5, 2, 3, 4], "4398": [5, 4, 1, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 5, 5, 4], "2348": [2, 2, 3, 4, 3, 1, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 3, 5, 4, 2, 3, 2, 3, 5, 2, 3, 2, 3, 3, 3, 2, 5, 2, 4, 2, 4, 3, 2, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 2, 4, 4, 2, 3, 2, 4, 3, 2, 4, 4, 3, 2, 3, 3, 2, 4, 4, 4, 4, 3, 2, 4, 2, 2, 3, 3, 2, 3, 3, 3, 1, 5, 4, 4, 4, 1, 3, 4, 2, 2, 4, 2, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 1, 4, 3, 4, 3, 5, 2, 3, 4, 3, 2, 2, 4, 3, 4, 2, 3, 4, 2, 2, 2, 3, 4, 1, 3, 5, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 2, 3, 4, 2, 2, 2, 3, 5, 4, 2, 2, 3, 3, 1, 3, 2, 5, 3, 3, 3, 4, 2, 4, 1, 5, 3, 5, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 2, 4, 4, 5, 3, 4, 2, 5, 4, 3, 2, 4, 2, 4], "5603": [1, 1, 4, 4, 1, 2, 1, 1, 4, 5, 1, 5, 1, 1, 3, 1, 5, 1, 1, 4, 4, 1, 5, 3, 5, 1, 1, 1, 1, 1, 4, 5, 1, 1, 3, 3, 4, 4, 3, 2, 1, 1, 1, 4, 1, 1, 1, 1, 4, 1, 4, 1, 4, 1, 1, 4, 4, 1, 4, 5, 1, 3, 5, 1, 1, 5, 1, 1, 1, 4, 1, 2, 1, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 5, 1, 3, 5, 5, 4, 1, 1, 5, 1, 1, 1, 5, 1, 3, 3, 2, 5, 1, 4, 3, 4, 1, 4, 4, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 4, 1, 1, 4, 3, 3, 4, 3, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 5, 1, 4, 1, 4, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 4], "3637": [3, 4, 4, 2, 4, 2, 5, 4, 3, 3, 5, 4, 5, 2, 4, 3, 3], "5997": [5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 2, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5], "4983": [2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 1, 4, 4, 5, 4, 2, 5, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 5, 5, 4, 3, 3, 2, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 2, 3, 5, 5, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3], "3319": [3, 4, 1, 4, 3, 5, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 3, 3, 5, 4, 3, 4, 3, 2, 2, 2, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3], "5456": [3, 2, 3, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2], "5581": [5, 3, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4], "5522": [4, 4, 4, 5, 4, 2, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 4, 2, 4, 3, 5, 4, 5, 5, 5, 1, 3, 4, 3, 2, 5, 3, 3, 4, 1, 1, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 2, 5, 4, 3, 3, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 2, 5, 5, 5, 5, 3, 4, 5, 1, 3, 3, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 1, 2, 2, 3, 1, 4, 3, 4, 4, 4, 5, 4, 4, 1, 5, 4, 2, 2, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 1, 3, 4, 5, 5, 4, 1, 5, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 2, 2, 2, 1, 3, 5, 4, 4, 4, 1, 5, 1, 3, 5, 3, 4, 2, 4, 4, 5, 3, 5, 5, 3, 4, 2, 5, 3, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 5, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 3, 3, 4, 5, 5, 3, 4, 2, 5, 3, 4, 3, 3, 2, 5, 5, 5, 5, 4, 5, 3, 4, 1, 4, 4, 3, 4, 3, 2, 4, 3, 3, 3, 4, 5, 3, 4, 3, 5, 5, 4, 5, 5, 4, 5, 1, 2, 5, 3, 2, 5, 5, 4, 4, 2, 1, 3, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 1, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 3, 5, 3, 2, 4, 2, 4, 4, 3, 2, 5, 5, 1, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 2, 2, 2, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 2, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 3], "1284": [3, 3, 3, 5, 5, 3, 3, 3, 1, 3, 3, 1, 3, 3, 5, 3, 4, 5, 5, 3, 5, 5, 3, 5, 4, 5, 1, 2, 5, 4, 4, 2, 5, 3, 3, 4, 4, 3, 5, 2, 5, 5, 3, 1, 2, 3, 4, 5, 5, 3, 4, 3, 4, 3, 5, 4, 3, 1, 4, 4, 2, 2, 2, 3, 5, 4, 5, 3, 4, 1, 5, 3, 4, 4, 5, 1, 4, 4, 4, 5, 3, 4, 3, 2, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 2, 4, 4, 5, 3, 2, 5, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 5, 3, 3, 3, 4, 5, 4, 3, 3, 3, 2, 3, 4, 2, 4, 4, 3, 3, 2, 4, 5, 2, 4, 1, 1, 4, 2, 4, 4, 4, 3, 5, 5, 1, 4, 3, 3, 2, 3, 2, 3, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 2, 3, 4, 5, 3, 5, 4, 2, 3, 3, 4, 5, 5, 5, 4, 4, 4, 5, 2, 3, 3, 3, 3, 2, 2, 4, 3, 5, 5, 4, 2, 4, 3, 3, 2, 1, 5, 1, 5, 3, 1, 3, 3, 3, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 2, 2, 4, 3, 4, 5, 3, 5, 4, 4, 5, 1, 5, 4, 3, 3, 4, 4, 5, 3, 5, 5, 4, 3, 4, 5, 4, 2, 3, 1, 5, 1, 1, 3, 5, 3, 5, 4, 4, 5, 3, 5, 1, 1, 1, 5, 1, 5, 4, 1, 1, 3, 1, 2, 4, 1, 5, 1, 4, 5, 2, 5, 2, 4, 4, 1, 2, 4, 3, 3, 1, 1, 4, 5, 4, 3, 5, 4, 1, 2, 5, 4, 3, 3, 5, 1, 4, 3, 2, 5, 5, 4, 5, 4, 3, 3, 4, 3, 5, 4, 5, 4, 1, 3, 2, 1, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 3, 3, 3], "5664": [3, 3, 3, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 3, 4, 5, 4, 3, 5, 2, 4, 5, 4, 3, 5, 5, 4, 3, 5, 4, 5, 5, 1, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 2, 3, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 2, 2, 4, 5, 5, 5, 3, 3, 4, 5, 4, 3, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 2, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 4, 2, 4, 5, 5, 5, 4, 5, 1, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 2, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 1, 4, 5, 5, 1, 4, 3, 4, 2, 5, 4, 4, 2, 4, 4, 3, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4], "6020": [4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4], "2433": [5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 1, 4, 5, 3, 4, 4, 5, 4, 4, 4], "2620": [5, 5, 4, 3, 5, 3, 2, 5, 4, 4, 3, 4, 4, 5, 2, 3, 3, 3, 4, 3, 3, 3, 3, 5, 5, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 3, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 3, 3, 5, 3, 3, 3, 2, 3, 3, 4, 1, 4, 4, 4, 3, 4, 2, 3, 2, 2, 2, 2, 2, 3, 4, 3, 4, 2, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 1, 1, 4, 2, 2, 3, 4, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 3, 5, 3], "3111": [5, 2, 1, 2, 2, 1, 2, 2, 3, 5, 4, 5, 3, 4, 3, 4, 2, 1, 5, 4, 3, 2, 4, 3, 1, 2, 5, 4, 5, 1, 3, 3, 1, 1, 2, 4, 3, 3, 3, 3, 3, 5, 3, 4, 2, 1, 1, 4, 1, 3, 3, 3, 3, 5, 2, 1, 2, 2, 2, 2, 4, 3, 3, 5, 5, 5, 3, 5, 2, 2, 5, 4, 4, 1, 3, 2, 4, 4, 3, 5, 2, 2, 3, 5, 4, 4, 5, 2, 5, 3, 3, 3], "3668": [5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 1, 4, 4, 5, 4, 4, 5, 5, 4, 5, 1, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4], "3880": [4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 1, 2, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 2, 2, 3, 5, 3, 4, 2, 1, 3, 1, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 5, 4, 3, 3, 3, 3, 3], "4209": [5, 5, 4, 5, 4, 4, 2, 4, 4], "5206": [4, 5, 4, 4, 5, 3, 2, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4], "1972": [5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 1, 3, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5], "2897": [4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 5, 3, 2, 4, 4, 1, 4, 4, 4, 5, 5, 2, 2, 3, 3, 2, 4, 1, 3, 4, 5, 2, 2, 1, 5, 3, 5, 5, 3, 2, 4, 3, 5, 3, 5, 5, 5, 4, 4, 3, 4, 2, 3, 2, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 3, 3, 4, 4, 2, 5, 5, 2, 3, 4, 4, 4, 4, 4, 5, 2, 2, 3, 4, 4, 5, 3, 5, 5, 2, 4, 4, 4, 5, 4, 3, 1, 3, 3, 3, 2, 4, 5, 4, 3, 3], "5486": [5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 5, 2, 5, 2, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5], "1602": [4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 2, 4, 4, 4, 3, 5, 4, 4, 3, 2, 3, 4, 5, 3, 4, 3, 5, 4, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 1, 5, 5, 4, 5, 4, 5, 5], "5113": [4, 1, 1, 3, 2, 1, 2, 4, 1, 1, 1, 4, 4, 1, 5, 5, 3, 3, 2, 4, 1, 4, 3, 4, 2, 4, 2, 4, 3, 4, 1, 3, 3, 4, 2, 5, 5, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 2, 2, 1, 2, 4, 3, 3, 3, 2, 3, 1, 4, 5, 1, 4, 3, 1, 4, 5, 4, 3, 4, 3, 3, 2, 3, 2, 2, 3, 2, 4, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 5, 2, 2, 3, 4, 1, 2, 1, 2, 3, 2, 1, 1, 3, 3, 3, 3, 1, 2, 1, 2, 2, 4, 3, 3, 4, 2, 3, 3, 1, 1, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 2, 5, 3, 4, 4, 1, 1, 4, 3, 1, 1, 1, 2, 2, 4, 5, 2, 2, 2, 1, 4, 1, 3, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 3, 3, 1, 3, 3, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 1, 3, 2, 1, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 4, 1, 2, 3, 1, 1, 1, 1, 3, 4, 3, 3, 3, 1, 2, 2, 1, 1, 2, 1, 3, 2, 3, 5, 4, 3, 5, 4, 3, 3, 2, 4, 5, 4, 5, 3, 2, 1, 1, 5, 5, 2, 4, 4, 4, 3, 5, 3, 3, 3, 5, 1, 2, 1, 3, 4, 2, 5, 4, 4, 3, 3, 4, 3, 3, 4, 1, 2, 2, 4, 5, 3, 2, 4, 2, 4, 5, 2, 1, 4, 2, 3, 1, 1, 2, 1, 3, 3, 2, 3, 3, 1, 3, 3, 2, 5, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 2, 2, 2, 4, 2, 1, 3, 2, 2, 4, 1, 4, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 3, 1, 3, 1, 3, 3, 2, 2, 1, 2, 2, 5, 2, 4, 1, 2, 1, 1, 3, 3, 2, 2, 1, 3, 1, 1, 1, 4, 2, 3, 1, 5, 1, 1, 1, 4, 1, 3, 4, 5, 5, 3, 1, 3, 4, 2, 2, 1, 3, 4, 3, 4, 5, 2, 3, 2, 2, 2, 2, 3, 2, 4, 2, 2, 2, 4, 1, 3, 4, 4, 4, 3, 3, 1, 2, 1, 3, 4, 3, 2, 1, 2, 3, 1, 1, 3, 2, 1, 2, 1, 1, 1, 4, 3, 3, 1, 3, 3, 4, 1, 3, 3, 3, 3, 1, 2, 3, 3, 2, 2, 1, 3, 1, 4, 1, 1, 2, 4, 2, 1, 1, 2, 4, 2, 5, 4, 4, 4, 1, 5, 2, 2, 1, 1, 1, 3, 3, 4, 1, 1, 3, 3, 4, 3, 4, 2, 2], "1382": [5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 2], "4706": [1, 4, 4, 4, 4, 2, 5, 5, 5, 2, 4, 3, 1, 4, 3, 3, 4, 4, 3, 4, 3, 2, 5, 4, 3, 4, 2, 4, 4, 3, 2, 3, 2, 5, 4, 3, 4, 2, 4, 4, 4, 4, 3, 2, 4, 3, 3, 5, 5, 3, 4, 3, 3, 3, 5, 4, 2, 4, 2, 4, 4, 3, 2, 3, 3, 3, 4, 3, 5, 2, 4, 4, 2, 1, 3, 3, 4, 4, 3, 5, 1, 3, 4, 4, 3, 5, 5, 5, 3, 3], "5659": [2, 5, 4, 3, 4, 1, 1, 4, 2, 3, 3, 4, 1, 3, 5, 1, 5, 3, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 3, 2, 3, 5, 2, 3, 4, 4, 1, 5, 5, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 3, 1, 3, 4, 4, 5, 4, 3, 3, 1, 5, 3, 4, 1, 3, 5, 5, 1, 3, 5, 2, 5, 4, 4, 5, 4, 5, 4, 4, 1, 1, 4, 3, 3, 5, 4, 5, 5, 4, 1, 4, 4, 4, 2, 4, 2, 2, 4, 2, 1, 4, 5, 2, 3, 5, 5, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 2, 4, 1, 4, 4, 4, 3, 2, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 5, 4, 3, 3, 2, 3], "231": [5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 2, 1, 1, 2, 1, 5, 1, 1, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5], "5378": [3, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 3, 2, 5, 4, 3, 4, 1, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 5, 5, 5, 4, 3, 5, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 2, 4, 4, 4, 3, 3, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 2, 4], "1765": [3, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 2, 2, 2, 3, 5, 4, 5, 3, 5, 4, 4, 4, 3], "2859": [5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 1, 3, 4, 4, 5, 5, 5, 4, 5, 3, 5, 3, 3, 4, 5, 1, 5, 4, 5, 3, 4, 3, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 5], "5363": [4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4], "3462": [2, 1, 4, 3, 4, 3, 5, 2, 5, 5, 3, 4, 3, 3, 5, 4, 2, 2, 4, 3, 2, 3, 5, 4, 4, 3, 4, 2, 5, 4, 3, 3, 5, 2, 4, 3, 2, 5, 5, 4, 4, 3, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 2, 4, 4, 5, 4, 5, 3, 3, 2, 4, 4, 2, 4, 4, 4, 4, 4, 1, 3, 3, 5, 3, 3, 3, 5, 3, 4, 3, 3, 2, 1, 4, 1, 4, 2, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 1, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 3, 1, 4, 3, 5, 3, 3, 3, 2, 4, 5, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 1, 5, 3, 4, 3, 4, 4, 4, 5, 4, 2, 4, 2, 1, 4, 4, 2, 1, 4, 3, 4, 4, 1, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 4, 2, 4, 3, 3, 5, 3, 2, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 5, 3, 3, 3, 1, 3, 2, 3, 4, 3, 4, 2, 3, 1, 2, 2, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 2, 3, 3, 5, 3, 1, 3, 4, 1, 5, 5, 4, 5, 5, 3, 5, 4, 3, 2, 4, 1, 3, 3, 3, 5, 3, 3, 3, 5, 4, 4, 1, 5, 4, 4, 4, 5, 5, 4, 4, 1, 4, 3, 1, 4, 4, 1, 4, 3, 4, 3, 1, 4, 5, 2, 4, 1, 3, 4, 4, 2, 1, 3, 3, 2, 5, 4, 4, 4, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 5, 3, 4, 2, 4, 3, 2, 3, 5, 5, 2, 1, 3, 1, 3, 5, 3, 2, 3, 4, 3, 5, 4, 3, 3, 4, 5, 2, 3, 3, 5, 4, 3, 4, 4, 1, 4, 5, 3, 4, 4, 4, 2, 3, 3, 4, 5, 3, 3, 4, 4, 1, 3, 3, 3, 4, 1, 4, 3, 2, 1, 3, 2, 3, 1, 3, 4, 5, 4, 3, 3, 5, 4, 1, 5, 4, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 2, 1, 3, 4, 4, 3, 3, 3, 5, 2, 3, 4, 4, 4, 5, 4, 2, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4], "3727": [3, 2, 5, 3, 2, 4, 4, 4, 2, 2, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 2, 5, 4, 2, 5, 3, 3, 3, 4, 3, 2, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 2, 4, 2, 3, 4, 2, 3, 2, 4, 2, 4, 5, 3, 5, 4, 3, 2, 3, 2, 3, 3, 3, 2, 4, 3, 3, 4, 2, 2, 4, 3, 5, 2, 4, 5, 3, 1, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 5, 5, 5, 3, 4, 2, 2, 3, 4, 2, 3, 4, 3, 1, 2, 3, 4, 3, 5, 2, 3, 4, 2, 2, 4, 3, 4, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 4, 3, 1, 5, 4, 4, 2, 2, 4, 4, 4, 1, 2, 3, 3, 2, 3, 4, 2, 1, 2, 4, 5, 3, 3, 4, 3, 4, 2, 1, 4, 4, 2, 1, 5, 3, 2, 3, 1, 4, 4, 4, 3, 3, 3, 4, 2, 4, 2, 2, 2, 3, 3, 3, 3, 3, 1, 4, 4, 3, 4, 2, 3, 3, 2, 2, 4, 3, 3, 3, 5, 3, 3, 2, 2, 3, 3, 4, 2, 1, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 3, 3, 2, 2, 3, 3, 2, 3, 4, 2, 1, 2, 5, 4, 3, 2, 3, 4, 1, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 2, 4, 4, 4, 4, 3, 1, 4, 3, 1, 3, 4, 1, 2, 4, 2, 3, 1, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 2, 4, 5, 4, 3, 3, 1, 4, 2, 3, 3, 2, 4, 3, 3, 4, 4, 1, 1, 4, 4, 4, 3, 5, 2, 1, 3, 2, 4, 4, 4, 3, 5, 2, 3, 2, 4, 4, 1, 3, 2, 3, 4, 2, 2, 3, 3, 4, 2, 3, 3, 5, 3, 5, 2, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 2, 2, 2, 4, 2, 5, 5, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 3, 5, 3, 5, 5, 4, 1, 3, 4, 3, 4, 5, 4, 3, 2, 2, 3, 4, 4, 4], "3714": [4, 4, 1, 1, 2, 2, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 4, 5, 5, 4, 5, 2, 5], "223": [5, 3, 3, 3, 3, 1, 3, 3, 5, 2, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 5, 2, 3, 2, 4, 4, 4, 5, 5, 4, 3, 4, 1, 4, 5, 3, 3, 4, 2, 3, 5, 3, 3, 4, 2, 4, 4, 3, 4, 5, 1, 3, 5, 3, 5, 2, 3, 4, 5, 4, 5, 5, 4, 1, 4, 3, 4, 3, 5, 4, 5, 4, 4, 3, 1, 3, 3, 5, 3, 4, 2, 5, 3, 3, 5, 1, 3, 5, 2, 4, 4, 4, 4, 3, 3, 3, 1, 5, 1, 4, 4, 3, 1, 4, 4, 4, 1, 4, 4, 1, 3, 3, 4, 3, 5, 5, 4, 4, 1, 5, 3, 1, 5, 3, 3, 5, 5, 2, 5, 3, 5, 3, 5, 3, 1, 3, 4, 1, 4, 5, 3, 2, 5, 1, 3, 4, 5, 5, 4, 3, 5, 4, 1, 5, 5, 4, 3, 4, 3, 5, 2, 5, 3, 3, 4, 5, 4, 2, 4, 3, 4, 2, 4, 1, 3, 3, 3, 5, 5, 1, 3, 5, 3, 5, 3, 3, 5, 1, 3, 5, 5, 5, 5, 4, 4, 2, 1, 4, 4, 4, 3, 4], "2783": [5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 3, 1, 4, 2, 3, 4, 4, 3, 5, 3, 4, 3, 4, 2, 4, 3, 4, 4, 2, 5, 5, 5, 2, 5, 3, 5, 5, 3, 5, 5, 4, 3, 4, 4, 5, 5, 3, 3, 3], "3952": [4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 4, 2, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 2, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 2, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4], "1059": [2, 3, 3, 3, 1, 4, 5, 4, 4, 4, 2, 3, 1, 5, 2, 2, 4, 3, 4, 2, 4, 2, 5, 4, 2, 3, 2, 3, 4, 3, 4, 3, 4, 3, 1, 4, 2, 3, 2, 2, 1, 3, 2, 3, 4, 4, 3, 5, 4, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 4, 2, 4, 1, 5, 4, 2, 1, 1, 2, 3, 4, 2, 2, 3, 5, 1, 3, 1, 1, 2, 5, 2, 3, 3, 2, 2, 2, 3, 1, 5, 2, 3, 1, 4, 3, 3, 4, 3, 3, 2, 3, 1, 1, 4, 4, 3, 2, 1, 1, 3, 4, 3, 5, 3, 4, 3, 3, 1, 1, 1, 3, 4, 4, 4, 2, 3, 2, 3, 2, 3, 1, 4, 3, 3, 3, 4, 3, 1, 2, 3, 3, 2, 5, 1, 3, 3, 3, 4, 3, 3, 3, 5, 2, 2, 3, 4, 3, 4, 3, 1, 2, 1, 5, 3, 3, 1, 3, 2, 5, 4, 3, 1, 3, 4, 3, 1, 1, 5, 5, 2, 1, 2, 3, 3, 2, 4, 2, 3, 3, 3, 1, 3, 4, 3, 3, 2, 3, 3, 4, 3, 1, 5, 1, 3, 3, 4, 3, 3, 3, 2, 1, 3, 3, 4, 4, 3, 2, 2, 2, 4, 1, 2, 4, 5, 4, 3, 1, 1, 5, 4, 4, 3, 4, 3, 3, 1, 3, 5, 3, 1, 3, 4, 5, 4, 3, 4, 4, 2, 4, 2, 4, 3, 2, 2, 1, 1, 2, 3, 2, 1, 4, 2, 5, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 1, 3, 4, 3, 2, 3, 2, 2, 1, 3, 2, 1, 5, 3, 1, 1, 3, 1, 4, 4, 3, 2, 1, 2, 2, 3, 1, 1, 5, 4, 2, 3, 4, 4, 2, 2, 4, 2, 3, 1, 4, 2, 1, 3, 3, 2, 2, 3, 3, 4, 5, 3, 4, 4, 3, 5, 3, 1, 2, 3, 4, 1, 5, 1, 4, 3, 3, 3, 4, 3, 3, 4, 2, 3, 4, 1, 3, 3, 2, 3, 4, 1, 4, 3, 3, 3, 3, 3, 1, 4, 3, 2, 1, 4, 1, 3, 2, 2, 5, 2, 4, 4, 1, 1, 3, 2, 2, 1, 5, 4, 4, 3, 3, 4, 4, 3, 3, 1, 3, 2, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 5, 2, 4, 2, 3, 3, 1, 3, 3, 1, 4, 3, 3, 2, 2, 3, 1, 1, 4, 4, 4, 5], "92": [4, 2, 3, 4, 2, 5, 3, 4, 2, 1, 3, 3, 4, 1, 3, 3, 3, 4, 1, 4, 1, 5, 2, 3, 4, 4, 3, 5, 3, 2, 3, 4, 2, 2, 4, 4, 5, 1, 4, 3, 3, 2, 1, 5, 5, 5, 5, 1, 3, 3, 2, 1, 1, 4, 2, 5, 4, 3, 3, 4, 3, 1, 3, 1, 4, 4, 5, 1, 4, 1, 5, 4, 5, 4, 3, 5, 4, 1, 4, 3, 2, 1, 1, 3, 2, 4, 3, 2, 2, 5, 3, 2, 2, 2, 3, 2, 4, 1, 3, 1, 4, 4, 1, 2, 2, 1, 1, 3, 3, 1, 4, 5, 4, 5, 3, 4, 2, 4, 4, 2, 5, 1, 4, 2, 3, 5, 3, 3, 1, 4, 1, 1, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 5, 1, 5, 1, 4, 4, 3, 4, 3, 3, 4, 4, 1, 1, 2, 5, 3, 2, 4, 4, 2, 3, 5, 1, 4, 5, 1, 1, 4, 3, 4, 3, 1, 3, 2, 2, 1, 1, 4, 2, 3, 4, 4, 3, 5, 3, 3, 2, 4, 1, 3, 2, 4, 2, 5, 5, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 4, 2, 5, 3, 4, 4, 2, 5, 4, 3, 4, 4, 3, 5, 3, 1, 2, 4, 2, 2, 5, 3, 2, 1, 3, 1, 4, 4, 5, 5, 4, 5, 2, 1, 1, 1, 2, 2, 5, 4, 2, 4, 3, 4, 2, 4, 2, 5, 1, 5, 2, 4, 4, 4, 1, 3, 2, 3, 1, 5, 1, 5, 4, 3, 3, 3, 4, 4, 2, 4, 5, 3], "4524": [3, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 1, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 5, 4, 3, 1, 4, 5, 4, 3, 4, 3, 3, 4, 4, 2, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 2, 3, 4, 3, 3, 1, 3, 3, 4, 3, 4, 4, 4, 3, 1, 2, 2, 2, 5, 5, 1, 5, 4, 4, 2, 3, 5, 4, 4, 3, 5, 4, 4, 3, 4, 2, 1, 5, 2, 4, 4, 2, 1, 3, 5, 5, 4, 2, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 1, 4, 4, 4, 2, 4, 4, 2, 3, 3, 4, 3, 2, 2, 4, 2, 4, 4, 3, 4, 3, 3, 2, 4, 2, 3, 2, 2, 1, 3, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 5, 4, 4, 3, 4, 1, 5, 2, 5, 3, 1, 5, 2, 5, 5, 3, 1, 2, 5, 3, 5, 5, 4, 4, 3, 2, 3, 2, 4, 3, 4, 5, 3, 3, 4, 1, 2, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 4, 4, 1, 4, 4, 5, 4, 3], "3245": [5, 2, 2], "413": [4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 3, 3, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5], "4063": [5, 2, 5, 3, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 3, 5, 4, 3, 5, 2, 4, 4, 4, 4, 2, 5, 5, 5, 5, 5, 3, 5, 2, 4, 3, 4, 5, 5, 5], "3480": [5, 2, 5, 3, 4, 3, 2, 3, 5, 2, 2, 5, 5, 3, 5, 5, 1, 5, 5, 4, 1, 4, 5, 5, 5, 4, 5, 3, 4, 1, 4, 4, 4, 2, 3, 4, 4, 5, 5, 3, 1, 5], "1721": [1, 1, 3, 2, 3, 3, 1, 2, 3, 1, 2, 4, 1, 2, 1, 3, 2, 1, 4, 5, 5, 1, 5, 2, 2, 5, 1, 2, 3, 1, 3, 1, 3, 1, 4, 4, 2, 3, 3, 2, 1, 3, 2, 1, 1, 3, 2, 4, 2, 4, 4, 1, 2, 2, 5, 4, 3, 4, 3, 4, 3, 1, 3, 1, 2, 5, 4, 3, 3, 2, 1, 3, 4, 1, 1, 3, 2, 3, 5, 3, 4, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 3, 1], "4992": [4, 3, 5, 4, 4, 3, 4, 4, 2, 3, 4, 4, 5, 4], "3963": [5, 5, 4, 5, 2, 4, 3, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 3, 5, 5, 3, 4, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 4, 3, 5, 3, 5, 4, 4, 5, 4, 5, 5, 2, 3, 4, 5, 3, 5, 5, 5, 4, 5, 2, 5, 3, 4, 4, 1, 3, 1, 3, 4, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 1, 3, 3, 4, 4, 4, 4, 5, 1, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 2, 4, 5, 5, 4, 5, 3, 2, 3, 5, 2, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 3, 5, 4, 5, 5, 5, 3, 5, 3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 2, 3, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 2, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 2, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 4, 5, 3, 3, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 2, 4, 4, 3, 5], "1012": [4, 1, 2, 3, 5, 5, 2, 3, 3, 3, 4, 3, 2, 3, 2, 5, 1, 4, 2, 3, 4, 5, 1, 4, 3, 2, 3, 3, 3, 1, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 2, 5, 5, 5, 5, 2, 4, 4, 4, 2, 5], "57": [4, 1, 4, 2, 4, 4, 4, 5, 4, 3, 3, 5, 2, 3, 1, 4, 2, 5, 1, 1, 4, 2, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4], "2440": [2, 4, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4], "1730": [4, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3], "1672": [4, 4, 2, 3, 4, 2, 3, 5, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 1, 2, 1, 4, 4, 4], "2107": [5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 2, 3, 5, 5], "5367": [3, 2, 2, 3, 2, 3, 2, 4, 5, 5, 2, 3, 2, 2, 4, 2, 2, 2, 4, 3, 4, 3, 3, 4, 5, 2, 2, 2, 3, 4, 1, 1, 1, 2, 2, 1, 1, 4, 3, 4, 1, 3, 2, 2, 2, 1, 2, 3, 3, 2, 3, 4, 2, 2, 4, 3, 4, 1, 3, 5, 4, 2, 2, 5, 2, 1, 4, 2, 5, 5, 1, 5, 5, 4, 4, 2, 4, 4, 5, 5, 4, 5, 1, 4, 2, 1, 2, 3, 2, 3, 3, 2, 4, 4, 1, 3, 1, 1, 1, 3, 3, 3, 3, 2, 1, 1, 3, 1, 1, 2, 1, 2, 3, 4, 4, 3, 4, 4, 3, 2, 1, 1, 5, 4, 5, 1, 2, 2, 2, 3, 2, 2, 1, 1, 3, 2, 4, 1, 3, 1, 1, 1, 3, 2, 3, 3, 2, 4, 2, 3, 1, 1, 1, 1, 1, 4, 4, 3, 3, 4, 1, 3, 3, 2, 2, 1, 1, 2, 2, 3, 3, 1, 3, 3, 4, 1, 2, 4, 5, 2, 1, 2, 3, 5, 2, 4, 1, 2, 1, 3, 5, 1, 1, 1, 4, 2, 2, 4, 2, 2, 1, 1, 3, 2, 3, 4, 1, 2, 3, 3, 4, 2, 3, 4, 4, 3, 2, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 2, 4, 3, 3, 4, 2, 3, 4, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 3, 4, 3, 1, 3, 3, 4, 3, 3, 3, 4, 4, 3, 5, 2, 5, 2, 3, 5, 4, 2, 3, 1, 1, 1, 3, 2, 1, 1, 2, 2, 2, 3, 1, 3, 5, 3, 2, 4, 3, 1, 3, 1, 1, 2, 1, 3, 1, 4, 1, 2, 2, 4, 4, 1, 3, 2, 3, 2, 1, 2, 1, 5, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 1, 4, 2, 5, 2, 3, 2, 2, 5, 3, 3, 3, 2, 2, 2, 3, 3, 3, 1, 4, 1, 3, 2, 5, 4, 4, 2, 3, 1, 4, 5, 3, 3, 2, 1, 2, 1, 3, 3, 1, 4, 4, 4, 4, 5, 5, 3, 3, 2, 3, 3, 1, 3, 1, 3, 2, 4, 3, 3, 4, 4, 3, 3, 1, 4, 2, 3, 1, 4, 4, 2, 4, 4, 3, 3, 4, 4, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 2, 2, 3, 1, 4, 1, 1, 1, 3, 2, 1, 1, 3, 1, 1, 2, 4, 3, 2, 1, 2, 2, 1, 1, 4, 1, 1, 1, 4, 2, 2, 4, 1, 1, 4, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 4, 5, 3, 3, 1, 2, 3, 2, 3, 5, 1, 5, 2, 5, 5, 1, 4, 5, 3, 4, 4, 5, 4, 1, 2, 4, 3, 4, 3, 5, 1, 1, 1, 1, 3, 4, 1, 4, 3, 2, 4, 5, 4, 4, 2, 1, 4, 1, 4, 5, 3, 4, 5, 4, 5, 1, 5, 4, 5, 1, 5, 5, 4, 4, 4, 5, 3, 1, 1, 4, 2, 4, 4, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 2, 3, 4, 1, 3, 4, 3, 4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 5, 1, 1, 1, 2, 1, 1, 2, 2, 3, 1, 2, 3, 1, 4, 3, 3, 1, 5, 2, 4, 1, 3, 4, 4, 3, 4, 5, 2, 4, 2, 1, 3, 3, 4, 3, 2, 3, 4, 1, 4, 1, 1, 3, 2, 3, 4, 3, 5, 4, 4, 1, 3, 2, 1, 2, 2, 4, 3, 3, 1, 2, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 1, 3, 4, 2, 3, 3, 1, 1, 3, 2, 3, 3, 1, 3, 1, 4, 2, 2, 3, 2, 2, 5, 2, 3, 3, 1, 3, 1, 4, 2, 1, 3, 3, 2, 3, 1, 1, 2, 3, 4, 5, 3, 3, 4, 4, 3, 3, 2, 3, 4, 3, 3, 3, 1, 4, 4, 3, 3, 3, 2, 3, 4, 4, 1, 3, 3, 5, 2, 2, 3, 2, 1, 2, 3, 1, 3, 1, 4, 3, 3, 1, 2, 1, 1, 4, 1, 1, 1, 2, 2, 5, 1, 5, 5, 4, 3, 4, 3, 4, 3, 3, 3, 1, 3, 4, 3, 1, 4, 1, 1, 4, 5, 3, 1, 3, 2, 2, 2, 1, 4, 3, 4, 2, 3, 1, 2, 1, 3, 1, 1, 1, 1, 4, 1, 5, 3, 3, 4, 5, 2, 2, 2, 5, 2, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 1, 3, 3, 4, 1, 2, 5, 3, 4, 2, 4, 1, 1, 1, 1, 1, 2, 1, 3, 3, 2, 3, 2, 4, 2, 1, 2, 2, 2, 4, 2, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 1, 1, 2, 3, 1, 2, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 4, 3, 1, 1, 4, 3, 2, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 2, 1, 5, 4, 3, 2, 2, 1, 4, 2, 1, 2, 3, 3, 1, 1, 5, 4, 3, 4, 4, 2, 4, 2, 2, 4, 4, 2, 2, 2, 1, 4, 3, 3, 3, 2, 1, 2, 2, 5, 3, 4, 2, 1, 1, 3, 1, 3, 3, 3, 3, 1, 3, 2, 4, 3, 1, 4, 2, 4, 5, 4, 3, 3, 2, 2, 4, 3, 3, 2, 5, 4, 4, 1, 1, 2, 1], "1705": [4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 2, 2, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 4, 2, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4], "5854": [3, 3, 4, 4, 3, 4, 2, 5, 2, 2, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 4, 2, 4, 2, 3, 4, 3, 2, 5, 3, 4, 4, 3, 4, 2, 3, 2, 4, 4, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 5, 3, 2, 2, 3, 2, 3, 5, 5, 2, 2, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 2, 2, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 4, 2, 3, 3, 4, 5, 3, 3, 3, 3, 2, 3, 3, 2, 5, 3, 5, 2, 4, 3, 5, 3, 5, 5, 4, 3, 4, 4, 3, 2, 5, 5, 5, 3, 5, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 2, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 2, 3, 5, 3, 5, 3, 5, 3, 2, 4, 3, 3, 2, 2, 5, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 5, 3, 3, 3, 3, 5, 5, 4, 5, 2, 4, 5, 4, 2, 3, 2, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 5, 3, 4, 5, 2, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 2, 3, 5, 1, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 2, 2, 4, 5, 3, 3, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 5, 3, 3, 4], "1617": [3, 3, 4, 4, 5, 2, 1, 2, 5, 5, 4, 5, 5, 1, 3, 1, 4, 1, 1, 4, 1, 3, 4, 3, 4, 3, 2, 4, 2, 3, 3, 4, 4, 5, 3, 3, 3, 2, 2, 3, 5, 4, 4, 1, 4, 5, 5, 5, 3, 3, 4, 4, 5, 3, 4, 1, 4, 5, 5, 2, 4, 4, 5, 4, 4, 5, 3, 5, 3, 4, 2, 1, 5, 1, 4, 2, 1, 5, 5, 2, 3, 1, 5, 5, 3, 3, 4, 5, 1, 2, 3, 4, 4, 5, 2, 3, 5, 2, 4, 4, 1, 3, 3, 2, 3, 2, 4, 5, 4, 3, 3, 5, 5, 3, 2, 1, 2, 4, 5, 4, 5, 3, 2, 2, 4, 4, 1, 2, 4, 2, 1, 3, 3, 3, 4, 3], "4474": [5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 2, 4, 3, 4, 5, 2, 5, 5, 5, 5, 5, 4, 3, 4], "2352": [2, 2, 5, 3, 5, 3, 3, 3, 3, 3, 2, 5, 5, 2, 2, 2, 2, 4, 2, 2, 3, 2, 2, 4, 5, 4, 3, 3, 3, 2, 3, 4, 3, 2, 2, 5, 3, 2, 4, 4, 5, 4, 2, 3, 5, 2, 1, 4, 1, 3, 3, 4, 2, 4, 5, 3, 2, 2, 3, 4, 2, 3, 4, 1, 2, 2, 3, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 4, 2, 1, 3, 3, 2, 2, 2, 2, 5, 5, 2, 2, 3, 2], "1449": [3, 3, 3, 1, 2, 3, 1, 4, 1, 4, 1, 5, 3, 4, 4, 4, 3, 3, 5, 3, 3, 2, 3, 2, 4, 2, 2, 4, 1, 4, 3, 3, 1, 4, 5, 3, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 4, 1, 1, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 5, 4, 2, 5, 5, 3, 4, 3, 4, 3, 2, 3, 1, 5, 1, 1, 3, 3, 3, 4, 5, 3, 3, 3, 5, 2, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 2, 1, 3, 4, 4, 4, 4, 3, 3, 3, 4, 2, 2, 1, 4, 3, 3, 1, 1, 3, 3, 3, 2, 4, 3, 3, 2, 5, 4, 5, 2, 3, 5, 4, 1, 2, 1, 2, 4, 3, 1, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 2, 4, 3, 1, 3, 3, 3, 1, 1, 4, 4, 1, 1, 3, 1, 3, 2, 4, 4, 2, 3, 3, 3, 1, 3, 4, 3, 2, 4, 3, 3, 1, 4, 2, 2, 1, 4, 4, 1, 3, 3, 2, 4, 3, 3, 3, 3, 4, 4, 2, 2, 4, 4, 5, 3, 3, 4, 4, 3, 4, 1, 4, 1, 1, 1, 3, 4, 3, 1, 4, 1, 3, 2, 4, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 5, 3, 3, 4, 4, 1, 2, 2, 2, 3, 3, 3, 1, 4, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 4, 1, 2, 3, 1, 2, 4, 1, 3, 4, 4, 2, 5, 3, 3, 2, 3, 3, 1, 1, 4, 2, 1, 4, 4, 4, 3, 2, 3, 2, 1, 2, 4, 3, 4, 3, 5, 1, 3, 3, 4, 2, 5, 4, 1, 3, 2, 4, 3, 4, 4, 4, 5, 2, 2, 2, 2, 2, 3, 3, 1, 1, 4, 3, 2, 3, 3, 3, 3, 3, 2, 1, 3, 3, 4, 2, 3, 2, 3, 2, 3, 1, 4, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 3, 4, 4, 1, 3, 2, 1, 4, 1, 1, 4, 1, 1, 2, 4, 5, 3, 3, 3, 4, 2, 5, 1, 3, 5, 3, 2, 2, 2, 4, 3, 2, 1, 3, 4, 2, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 5, 1, 3, 5, 2, 1, 4, 5, 3, 2, 1, 3, 4, 3, 1, 3, 4, 2, 3, 3, 1, 3, 3, 3, 1, 2, 3, 2, 3, 1, 1, 1, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 4, 2, 3, 3, 1, 1, 4, 4, 2, 3, 1, 1, 1, 3, 3, 2, 3, 2, 2, 4, 3, 4, 1, 4, 3, 2, 1, 4, 3, 3, 4, 4, 4, 4, 3, 2, 3, 5, 4, 3, 3, 4, 3, 4, 5, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 3, 1, 1, 3, 3, 5, 4, 2, 2, 4, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 1, 2, 1, 2, 3, 4, 3, 4, 1, 4, 1, 1, 4, 2, 1, 1, 4, 2, 5, 2, 1, 3, 3, 1, 3, 4, 3, 5, 2, 2, 5, 1, 2, 2, 3, 4, 5, 3, 4, 3, 1, 5, 3, 3, 3, 1, 4, 4, 3, 2, 4, 2, 3, 3, 1, 1, 3, 1, 5, 3, 4, 4, 1, 1, 4, 3, 4, 1, 3, 2, 3, 4, 2, 1, 1, 3, 1, 3, 3, 2, 2, 2, 3, 3, 4, 2, 3, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 3, 4, 3, 4, 1, 5, 1, 4, 4, 3, 2, 3, 4, 3, 5, 4, 3, 2, 3, 2, 1, 4, 4, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 4, 4, 2, 3, 3, 4, 4, 5, 3, 4, 3, 3, 2, 2, 2, 3, 3, 1, 4, 1, 5, 1, 4, 3, 3, 4, 3, 3, 1, 4, 3, 3, 3, 3, 1, 5, 3, 2, 3, 1, 2, 3, 1, 4, 3, 2, 3, 1, 4, 1, 5, 2, 4, 1, 2, 2, 3, 4, 1, 1, 2, 4, 3, 4, 3, 3, 3, 1, 2, 4, 2, 4, 1, 4, 3, 3, 4, 1, 4, 2, 4, 2, 3, 2, 2, 2, 3, 1, 3, 3, 4, 3, 3, 3, 4, 2, 3, 1, 5, 2, 5, 3, 2, 1, 4, 4, 3, 1, 3, 4, 3, 4, 1, 3, 4, 3, 2, 3, 3, 2, 5, 3, 3, 1, 4, 3, 3, 1, 1, 1, 5, 3, 2, 2, 1, 3, 4, 4, 4, 2, 4, 1, 3, 3, 1, 3, 3, 3, 4, 3, 1, 2, 1, 3, 3, 3, 4, 1, 4, 1, 3, 4, 1, 2, 1, 3, 2, 3, 4, 3, 2, 2, 2, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 2, 3, 3, 4, 1, 3, 1, 2, 3, 3, 5, 1, 1, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 1, 1, 4, 1, 1, 3, 4, 1, 1, 3, 4, 2, 2, 1, 3, 1, 4, 4, 1, 3, 3, 2, 2, 3, 3, 2, 5, 3, 3, 2, 3, 3, 1, 1, 1, 4, 3, 3, 2, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 1, 1, 1, 2, 4, 3, 4, 3, 3, 4, 3, 4, 4, 1, 1, 5, 4, 4, 5, 3, 1, 4, 4, 1, 4, 3, 1, 4, 1, 3, 3, 4, 3, 4, 2, 4, 2, 2, 4, 1, 3, 1, 4, 3, 4, 3, 4, 3, 3, 4, 1, 4, 5, 3, 2, 2, 4, 4, 3, 3, 4, 3, 5, 2, 4, 1, 2, 5, 1, 3, 3, 4, 2, 5, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 1, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3], "2125": [3, 5, 4, 5, 5, 5, 2, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 1, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 5, 4, 1, 4, 4, 4, 2, 5, 3, 3, 4, 2, 5, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 3, 2, 4, 4, 2, 3, 5, 5, 5, 2, 3, 3, 4, 5, 4, 4, 1, 4, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 3, 2, 4, 4, 4, 5, 5, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 2, 5, 3, 2, 3, 5, 5, 4, 5, 5, 3, 2, 3, 5, 4, 5, 4], "5887": [3, 4, 4, 3, 4, 3, 4, 4, 3, 2, 2, 4, 2, 2, 4, 4, 5, 5, 4, 3, 4, 1, 4, 4, 3, 4, 5, 4, 3, 4, 3, 2, 5, 4, 4, 5, 5, 4, 2, 4, 2, 2, 2, 4, 4, 2, 5, 2, 4, 5, 3, 3, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5], "375": [4, 5, 5, 4, 5, 3, 3, 4, 5, 3, 3, 3, 3, 4, 4, 4, 3, 5, 3, 5, 3, 5, 4, 5, 4, 4, 4, 3, 1, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5], "4166": [5, 5, 4, 4, 3, 5, 3, 2, 5, 4, 5, 5, 4, 5, 2, 4, 3, 3, 5, 1, 4, 5, 2], "1782": [3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 2, 4, 2, 4, 4], "4845": [4, 2, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 3, 4, 4, 1, 5, 3, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 4, 5, 3, 4, 5, 5, 3, 2, 3, 5, 3, 1, 4, 4, 3, 1, 5, 3, 5, 3, 4, 5, 3, 3, 4, 4, 2, 2, 5, 4, 5, 3, 5, 5, 5, 4, 2, 4, 4, 4, 3, 5], "5110": [4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5], "2972": [1, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 2, 3, 5, 3, 3, 5, 3, 5, 3, 3, 5, 5, 2, 2, 3, 3, 1, 5, 5, 5, 5, 3, 3, 5, 4, 3, 4, 4, 5, 3, 5, 1, 3, 4, 3, 3, 2, 4, 4, 1, 2, 5, 2, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 3, 3, 4, 1, 1, 3, 5, 5, 2, 3, 5, 3, 5, 4, 2, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 1, 3, 3, 1, 1, 3, 5, 4, 2, 4, 4, 5, 5, 5], "1482": [3, 5, 3, 5, 4, 2, 4, 3, 5, 4, 4, 3, 4, 2, 3], "5177": [4, 3, 4, 3, 2, 3, 3, 4, 2, 5, 4, 1, 3, 3, 5, 4, 1, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 4, 5, 4, 1, 3, 4, 3, 4, 3, 4, 5, 5, 1, 4, 4, 4, 3, 4, 3, 3], "5219": [5, 2, 4, 3, 4, 2, 2, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 2, 4, 5, 3, 2, 3, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 4, 1, 5, 4, 4, 2, 4, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4], "1718": [4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4], "1812": [3, 5, 3, 4, 5, 5, 2, 4, 2, 3, 3, 2, 4, 4, 5, 4, 1, 4, 3, 5, 5, 5, 4, 4, 4, 3, 2, 5, 4, 1, 4, 4, 2, 2, 1, 4, 5, 4, 5, 3, 5, 4, 4, 5, 3, 5, 3, 3, 2, 4, 5, 3, 4, 3, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 4, 3, 3, 5, 4, 1, 4, 4, 4, 5, 5, 5, 4, 5, 2, 4, 5, 1, 4, 5, 3, 4, 4, 5, 4, 4, 1, 2, 5, 1, 3, 4, 1, 1, 1, 4, 3, 5, 5, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 5, 3, 1, 5, 5, 5, 3, 3, 4, 5, 3, 1, 3, 4, 5, 3, 3, 4, 4, 4, 1, 5, 1, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 3, 2, 5, 2, 4, 4, 5, 4, 1, 3, 3, 1, 5, 1, 4, 5, 3, 3, 5, 5, 3, 4, 4, 4, 4, 1, 4, 4, 4, 2, 4, 5, 1, 4, 4, 5, 5, 4, 2, 2, 4, 3, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 2, 4, 4, 2, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 2, 3, 4, 3, 4, 3, 2, 5, 4, 1, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 5, 3, 4, 3, 5, 3, 4, 4, 1, 1, 4, 5, 5, 3, 1, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 2, 3, 5, 3, 5, 5, 5, 5, 5, 4, 2, 5, 3, 4, 3, 3, 3, 2, 1, 3, 5, 5, 3, 4, 3, 5, 3, 4, 4, 3, 5, 5, 4, 5, 3, 1, 3, 5, 4, 3, 5, 5, 5, 4, 2, 5, 1, 1, 3, 1, 1, 5, 1, 4, 5, 1, 4, 4, 3, 5, 5, 5, 4, 1, 5, 4, 3, 3, 1, 5, 2, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 4, 4, 1, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 2, 3, 5, 4, 1, 3, 4, 4, 4, 5, 3, 2, 4, 1, 2, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 3, 5, 3, 3, 4, 5, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 1, 3, 2, 3, 5, 4, 5, 3, 5, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 1, 4, 1, 3, 2, 4, 4, 2, 5, 5, 3, 5, 3, 3, 3, 3, 3, 2, 3, 5, 3, 3, 3, 4, 4, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 3, 5, 3, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 1, 5, 5, 5], "3492": [4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 2, 3, 2, 5, 2, 5, 5, 5, 4, 1, 4, 4, 5, 4, 4, 3, 3, 3, 5, 4, 4, 5, 4, 4], "3473": [3, 5, 2, 5, 4, 4, 5, 4, 2, 4, 5, 5, 4, 4, 5, 2, 5, 4, 3, 1, 4, 5, 4, 4, 3, 4, 5, 2, 4, 3, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 2, 5, 5, 2, 4, 5, 2, 5, 2, 5, 2, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 5, 5, 3, 4, 4, 5, 2, 2, 4, 5, 4, 4, 5, 4, 4, 3, 3, 5, 5, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 5, 5, 4, 5, 4, 5, 4, 2, 5, 4, 5, 1, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 3, 5, 2, 2, 4, 5, 5, 2, 1, 4, 3, 4, 5, 5, 5, 2, 4, 5, 5], "4901": [5, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 4, 3, 5, 3, 3, 4, 5, 3, 4, 3, 5, 5, 4, 5, 4, 3, 4, 3, 2, 4, 5, 3, 4, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 3, 5, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 2, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3], "3828": [4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 2, 5, 4], "2465": [3, 4, 5, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 3, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5], "5490": [4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 5, 3, 2, 4, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 1, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 5, 3, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 3, 2, 2, 3, 3, 4, 3, 3, 5, 3], "1694": [4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 2, 2, 5, 5, 3, 3, 4, 3, 3, 4, 3, 5, 5, 5, 4, 4, 2, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 2, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 4, 4, 5, 3, 4, 5, 4, 3, 2, 2, 4, 4, 2, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 4, 3, 3, 5, 5, 5, 4, 2, 4, 4, 2, 3, 4, 3, 2, 2, 3, 4, 4, 5, 4, 2, 3, 4, 4, 4, 4, 2, 3, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 3, 3, 3, 5, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 5, 4, 4, 3, 2, 2, 2, 4, 3, 4, 4, 5, 5, 4, 2, 4, 2, 4, 2, 5, 4, 5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 4, 4, 2, 4, 4, 3, 4, 4, 5, 2, 5, 3, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 1, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 3, 2, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 2, 3, 5, 4, 3, 4, 3, 3, 5, 3, 3, 5, 5, 3, 4, 5, 4, 5, 5], "1831": [4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 3, 2, 4, 2, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 2, 4, 5, 5], "3517": [4, 5, 4, 4, 5, 4, 4, 1, 5, 5, 5, 3, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 2, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 3, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 2, 5, 5, 5, 5, 2, 4, 2, 3, 5, 4, 4, 1, 4, 2, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 3, 2, 4, 2, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5], "810": [3, 5, 2, 4, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 2, 3, 4, 5, 2, 4, 5, 3, 3, 3, 5, 1, 4, 4, 4, 4, 5, 4, 2, 4, 5, 4, 2, 4, 3, 4, 5, 5, 2, 4, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 5, 5, 3, 4, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5], "3528": [3, 5, 5, 3, 2, 1, 4, 4, 2, 1, 5, 2, 2, 5, 3, 2, 4, 1, 2, 1, 4, 3, 2, 5, 4, 3, 1, 5, 2, 1, 2, 4, 2, 1, 1, 2, 3, 2, 2, 1, 2, 2, 5, 1, 2, 2, 4, 2, 4, 3, 3, 3, 4, 2, 1, 3, 5, 1, 4, 1, 2, 5, 2, 3, 3, 3, 5, 3, 3, 2, 2, 3, 5, 2, 1, 3, 1, 2, 2, 2, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 1, 2, 4, 2, 2, 3, 1, 1, 1, 2, 2, 4, 2], "3545": [3, 5, 5, 4, 1, 4, 4, 4, 5, 5, 1, 4, 1, 5, 5, 4, 2, 1], "5910": [3, 4, 2, 5, 3, 1, 4, 4, 4, 4, 1, 4, 4, 4, 3, 5, 2, 1, 4, 4, 4, 1, 4, 4, 4, 5, 3, 4, 3, 4, 2, 4, 4, 1, 1, 5, 1, 5, 5, 2, 5, 4, 5, 3, 2, 4, 5, 5, 5, 3, 5, 4, 4, 2, 4, 4, 4, 3, 4, 5, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 1, 4, 2, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 2, 4, 2, 5, 2, 4, 5, 4, 4, 5, 5, 4], "4172": [5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 2, 4, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5], "2719": [5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 4, 3, 3, 3, 4, 4, 5, 2, 5, 3, 4, 5, 4, 4, 5, 5, 3, 2, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 2, 3, 4], "3421": [4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 3, 5, 4, 4], "3909": [5, 2, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 4, 1, 5, 3, 4, 4, 4, 4, 4, 2, 1], "4696": [5, 5, 5, 5, 5, 4, 3, 4, 4, 2], "2955": [1, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 5, 5, 4, 2, 3, 3, 2, 3, 1, 5, 3, 4, 2, 2, 1, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 2, 3, 1, 2, 4, 2, 4, 3, 2, 5, 2, 2, 1, 4, 5, 4, 2, 2, 3, 2, 3, 3, 4, 2, 4, 3, 2, 4, 5, 3, 3, 3, 4, 4, 4, 1, 5, 4, 2, 5, 1, 5, 1, 5, 1, 2, 2, 3, 5, 2, 4, 2, 4, 4, 3, 5, 3, 2, 4, 3, 3, 2, 3, 4, 3, 5, 5, 5, 5, 2, 5, 2, 4, 4, 4, 2, 1, 3, 5, 4, 5, 4, 5, 4, 2, 2, 2, 5, 4, 5], "3435": [3, 5, 1, 5, 4, 5, 5, 2, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 1, 5, 5, 3, 4, 2, 2, 5, 3, 5, 4, 4, 5, 4, 4, 5, 1, 5, 3, 3, 5, 5, 3, 4, 5, 3, 5, 5, 3, 3, 5, 4, 3, 2, 5, 2, 4, 2, 4, 4, 1, 2, 4, 4, 4, 3, 2, 5, 5, 5, 4, 1, 3, 2, 4, 4, 3, 4, 4, 4, 5, 2, 5, 2, 2, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 2, 3, 5, 4, 5, 4, 5, 3], "5404": [4, 5, 5, 3, 4, 5, 4, 4, 1, 5, 2, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 1, 3, 5, 1, 5, 4, 5, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 5, 5, 3, 5, 2, 5, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 4, 4, 1, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 1, 3, 5, 4, 3, 5, 4, 3, 5, 2, 4, 5, 5, 4, 1, 4, 4, 4, 4, 4, 1, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 3, 2, 5, 4, 4, 1, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4], "2194": [3, 3, 4, 2, 4, 2, 2, 3, 3, 1, 2, 3, 2, 4, 3, 2, 1, 2, 4, 1, 1, 3, 2, 2, 5, 5, 4, 5, 3, 5, 4, 3, 3, 4, 2, 3, 3, 5, 1, 3, 4, 3, 2, 2, 3, 1, 4, 3, 1, 1, 4, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 2, 1, 3, 2, 1, 2, 3, 4, 1, 1, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 2, 2, 4, 2, 2, 5, 2, 4, 4, 4, 2, 4, 3, 3], "204": [3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 5, 3, 2, 2, 4, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 5, 2, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 1, 5, 5, 2, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 1, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 1, 4, 4, 4, 4, 3, 1, 2, 3, 5, 5, 5, 3, 2, 3, 1, 3, 3, 4, 4, 2, 3, 3, 4, 2, 1, 4, 3, 4, 3, 3, 4, 3, 3, 3, 5, 5, 5, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 5, 3, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 2, 4, 5, 3, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 2, 5, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 4, 2, 4, 5, 5, 4, 3, 4, 5, 5, 3, 3, 2, 4, 4, 4, 3, 5, 4, 5, 3, 3, 4, 1, 5, 4, 1, 4, 3, 4, 5, 3, 5, 5, 4, 2, 3, 4, 3, 1, 1, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 3, 5, 5, 5, 2, 3, 5, 4, 1, 4, 1, 5, 3, 4, 3, 2, 5, 5, 5, 4, 3, 4, 3, 3], "5728": [3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 2, 4, 3, 5, 3, 4, 3, 5, 3, 5, 3, 2, 1, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 3, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 2, 3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 5, 4, 3, 4, 4, 2, 3, 3, 4, 2, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 3, 3, 2, 4, 3, 4, 4, 2, 2, 3, 4, 3, 5, 4, 3, 3, 4, 3, 4, 3, 5, 2, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 5, 1, 2, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 4, 3, 4, 3, 4, 5, 2, 4, 1, 2, 4, 2, 2, 4, 4, 2, 2, 2, 4, 2, 4, 3, 3, 3, 5, 4, 5, 3, 3, 4, 5, 3, 4, 5, 3, 3, 3, 5, 4, 4, 3, 3, 5, 2, 4, 2, 3, 3, 2, 2, 5, 3, 3, 3, 4, 3, 4, 4, 3, 2, 2, 1, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 1, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4], "3692": [3, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 1, 4, 2, 5, 5, 4, 4, 5, 3, 3, 4, 3, 4, 2, 2, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5], "5394": [2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 2, 5, 3, 5, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 2, 3, 2, 3, 3, 4, 4, 3, 2, 3, 3, 4, 2, 2, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 1, 5, 2, 3, 3, 2, 3, 4, 4, 3, 2, 2, 4, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 5, 3, 5, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 3, 2, 4, 4, 2, 2, 4, 3, 2, 2, 3, 4, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 2, 3, 4, 3, 1, 2, 3, 3, 3, 3, 3, 4, 3, 1, 4, 4, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 3, 3, 3, 2, 4, 2, 3, 4, 4, 5, 2, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 1, 4, 4, 3, 1, 4, 4, 4, 4, 2, 3, 3, 4, 3, 2, 3, 3, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 4, 4, 2, 5, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 5, 4, 3, 1, 1, 5, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 2, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 2, 2, 4, 2, 4, 3, 2, 3, 3, 2, 3, 2, 2, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 2, 4, 4, 2, 3, 4, 4, 2, 2, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 5, 3, 4, 4, 4, 4, 3, 2, 4, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 2, 2, 3, 4, 5, 2, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 2, 4, 4, 2, 3, 3, 3, 4, 4, 3, 4, 2, 1, 2, 2, 4, 3, 3, 2, 3, 4, 2, 2, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 5, 3, 4, 2, 3, 3, 4, 4, 2, 4, 3, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 3, 2, 3, 5, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 2, 4, 4, 5, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 2, 3, 3, 2, 2, 4, 4, 3, 3, 3, 2, 3, 3], "4460": [4, 4, 3, 2, 4, 5, 2, 4, 1, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 2, 4, 4, 3, 4, 2, 4, 4, 2, 4, 3, 5, 4, 4, 5, 3, 3, 2, 5, 4, 4, 5, 3, 5, 3, 4, 3, 1, 2, 3, 4, 5, 3, 5, 3, 4, 4, 3, 3, 2, 3, 3, 2, 4, 3, 3, 4, 4, 3, 1, 1, 4, 3, 2, 1, 3, 3, 4, 2, 4, 4, 2, 3, 2, 4, 4, 3, 2, 5, 4, 5], "5011": [2, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 1, 4, 4, 4, 1, 4, 3, 5, 5, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 1, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 2, 2, 4, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4], "3187": [4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 4, 3], "3067": [3, 4, 4, 4, 3, 3, 5, 3, 4, 5, 4, 2, 4, 4, 4, 5, 2, 2, 3, 5, 3, 4, 4, 5, 4, 5, 4, 5, 4, 2, 5, 3, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 3, 5, 1, 4, 5, 3, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 2, 3, 5, 3, 2, 5, 2, 5, 3, 3, 5, 3, 2, 4, 4, 4, 4, 3, 2, 3, 4, 5, 3, 3, 4, 4, 5, 3, 3, 3, 5, 4, 4, 3, 3, 5, 1, 5, 5, 5, 2, 1, 3, 4, 3, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 1, 5, 4, 3, 4, 4, 5, 4, 5, 3, 5, 1, 4, 4, 3, 5, 5, 3, 5, 3, 4, 5, 5, 3, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 5, 5, 4, 5, 4, 3, 4, 3, 3, 5, 5, 3, 2, 4, 1, 2, 4, 4, 3, 3, 2, 5, 4, 3, 5, 4, 5, 3, 5, 4, 5, 5, 3, 2, 3, 4, 5, 2, 3, 3, 4, 5, 3, 2, 3, 4, 2, 5, 2, 5, 4, 5, 3, 3, 5, 3, 3, 2, 5, 2, 5, 4, 5, 2, 4, 3, 2, 4, 5, 3, 3, 4, 5, 3, 3, 5, 5, 3, 5, 5, 3, 3, 4, 3, 4, 5, 4, 3, 4, 2, 3, 4, 3, 3, 4, 5, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 5, 4, 5, 5, 3, 5, 5, 2, 3, 3, 5, 4, 4, 5, 3, 3, 5, 5, 2, 3, 3, 3, 2, 5, 3, 4, 4, 5, 4, 5, 4, 5, 4, 3, 5, 1, 1, 3, 4, 4, 5, 4, 2, 4, 4, 5, 3, 5, 2, 3, 4, 4, 5, 1, 3, 4, 4, 3, 5, 4, 5, 4, 3, 3, 5, 4, 4, 2, 3, 5, 2, 5, 5, 3, 3, 5, 3, 3, 2, 3, 4, 4, 2, 2, 3, 4, 5, 2, 3, 5, 5, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 5, 3, 2, 4, 3, 4, 4, 4, 5, 2, 4, 5, 5, 4, 5, 3, 2, 3, 4, 5, 2, 5, 3, 5, 5, 4, 4, 2, 5, 2, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 5, 4, 4, 2, 1, 5, 5, 5, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 5, 2, 2, 3, 5, 5, 4, 4, 4, 4, 4, 4, 2, 5, 4, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 3, 1, 5, 2, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 2, 5, 4, 5, 4, 4, 1, 2, 3, 5, 2, 4, 4, 2, 4, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 2, 1, 5, 2, 4, 4, 2, 4, 2, 5, 4, 5, 1, 5, 5, 4, 5, 3, 2, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 2, 5, 1, 4, 1, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4], "4602": [3, 4, 3, 4, 5, 2, 3, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 3, 4, 4, 5, 5, 2, 5, 4, 4, 4, 5, 1, 4, 4, 4, 2, 4, 1, 3, 1, 5, 3, 3, 3, 5, 3, 5, 5, 3, 4, 1, 4, 1, 4, 3, 3, 4, 5, 5, 3], "3845": [5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 2, 3, 2, 3, 5, 4, 2, 4, 2, 5, 3, 5, 3, 5, 5, 2, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 4, 5, 3, 5, 3, 3, 3, 4, 5, 4, 4, 5, 4, 4], "907": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4], "4579": [3, 3, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 1, 2, 3, 3, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 1, 5, 5, 3, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 2, 5, 5, 5, 5, 4, 2, 5, 5, 5, 4, 5, 3, 2, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 3, 3, 4, 3, 5, 2, 3, 3, 1, 3, 2, 3, 4, 2, 3, 4, 5, 3, 3, 3, 4, 2, 4, 4, 5, 4, 2, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 5, 3, 4, 5, 5, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 5, 3, 1, 3, 3, 3, 3, 2, 4, 3, 3, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 5, 3, 3, 3, 5, 3, 5, 2, 1, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 2, 3, 4, 4, 5, 2, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 2, 4, 4, 2, 4, 3, 2, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 2, 1, 4, 4, 4, 2, 3, 5, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 5, 4, 2, 5, 3, 3, 4, 4, 2, 4, 3, 5, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 3, 4, 4, 2, 4, 2, 3, 5, 4, 5, 4, 3, 3, 5, 4, 4, 2, 5, 3, 5, 4, 1, 4, 5, 3, 3, 2, 4, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 3, 2, 4, 3, 5, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 3, 3, 3, 3, 5, 4, 4, 4, 3, 2, 4, 3, 2, 4, 4, 3, 5, 4, 4, 4, 2, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 5, 5, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 4], "3918": [5, 3, 5, 3, 3, 5, 1, 3, 4, 4, 4], "2460": [3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 2, 3, 4, 3, 5, 5, 4, 5, 4, 3, 3, 3, 5, 5, 4, 5, 1, 3, 4, 5], "2215": [5, 3, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 2, 3, 3, 5, 3, 3, 4, 4, 3, 1, 2, 4, 2, 5, 3, 1, 3, 5, 4, 2, 3, 1, 4, 2, 3, 5, 3, 3, 3, 4, 2, 4, 3, 5, 4, 5, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 4, 4, 2, 3, 3, 1, 1, 2, 2, 4, 4, 4, 2, 1, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 3, 5, 5, 1, 3, 2, 4, 2, 3, 4, 4, 2, 4, 3, 2, 3, 4, 5, 1, 5, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 2, 3], "260": [3, 2, 3, 3, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 2, 4, 1, 4, 1, 5, 3, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 5, 3, 4, 5, 2, 5, 5, 3, 2, 3, 4, 3, 5, 1, 2, 3, 3, 3, 4, 5, 2, 4, 1, 4, 3, 1, 2, 3, 2, 3, 3, 3, 2, 4, 3, 4, 2, 4, 3, 3, 4, 4, 1, 3, 1, 3, 4, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 2, 5, 2, 2, 4, 4, 4, 3, 3, 1, 3, 4, 4, 4, 5, 3, 1, 4, 2, 4, 3, 3, 5, 3, 5, 4, 3, 3, 2, 3, 4, 3, 5, 4, 5], "2929": [4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 2, 5, 3, 4, 2, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 2, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 1, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 3, 3, 3, 4, 2, 4, 4, 5, 3, 3, 5, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 3, 3, 2, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 5, 4, 1, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 4, 4, 5, 4, 2, 3, 2, 5, 4, 3, 5, 2, 4, 3, 3, 4, 5, 4, 5, 2, 3, 4, 4, 2, 3, 3, 5, 4, 3, 3, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 3, 4, 3, 2, 2, 4, 4, 2, 2, 5, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 2, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5], "4855": [3, 2, 3, 4, 5, 3, 3, 3, 4, 4, 4, 4, 1, 3, 1, 2, 4, 2, 3, 3, 4, 3, 3, 4, 2, 3, 1, 1, 4, 2, 5, 5, 2, 2, 3, 3, 2, 3, 3, 4, 2, 5, 3, 3, 4, 1, 5, 5, 3, 3, 5, 5, 3, 3, 4, 3, 5, 1, 2, 1, 3, 2, 4, 3, 5, 1, 1, 4, 2, 3, 5, 1, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 1, 3, 1, 2, 3, 4, 1, 3, 5, 2, 5, 4, 3, 2, 4, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 3, 1, 3, 3, 2, 2, 3, 1, 2, 4, 4, 5, 2, 4, 4, 3, 3, 4, 5, 1, 3, 2, 3, 3, 1, 4, 3, 2, 5, 3, 4, 2, 2, 2, 4, 5, 1, 4, 4, 5, 1, 1, 3, 1, 1, 1, 1, 4, 1, 3, 5, 3, 2, 1, 3, 2, 3, 3, 3, 3, 5, 5, 4, 3, 1, 1, 3, 2, 4, 2, 1, 2, 3, 4], "2924": [4, 5, 5, 5, 2, 5, 3, 4, 3, 4, 4, 3, 4], "4810": [1, 3, 2, 5, 3, 3, 3, 4, 3, 4, 3, 2, 3, 5, 1, 3, 2, 1, 3, 3, 4, 4, 5, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 2, 3, 5, 2, 4, 3, 2, 4, 2, 1, 2, 4, 2, 4, 1, 3, 1, 3, 3, 3, 4, 3, 5, 3, 3, 5, 4, 4, 2, 4, 3, 4, 5, 2, 3, 4, 3, 2, 4, 2, 4, 5, 5, 5, 2, 2, 4, 5, 5, 4, 2, 1, 3, 3, 4, 2, 2, 3, 5, 2, 2, 3, 2, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 4, 2, 2, 2, 3, 1, 5, 2, 4, 5, 4, 1, 4, 1, 1, 2, 1, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 1, 5, 1, 3, 3, 3, 3, 3, 2], "3120": [5, 5, 2, 5, 2, 4, 5, 3, 5, 2, 5, 5], "5971": [3, 4, 5, 4, 3, 4, 4, 5, 2, 4, 3, 4, 3, 2, 5, 3, 2, 2, 1, 5, 5, 4, 2, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 5, 5, 1, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 5, 5, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 4, 3, 4, 1, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 5, 3, 3, 5, 5, 3, 4, 3, 4, 1, 5, 3, 4, 4, 4, 3, 2, 5, 5, 5, 3, 3, 3, 2, 4, 4, 1, 5, 5, 3, 3, 3, 2, 4, 3, 5, 5, 4, 5, 2, 3, 1, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 5, 1, 4, 1, 3], "2370": [4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 5, 4, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 3, 3, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 2, 5], "1870": [3, 3, 3, 4, 2, 3, 3, 2, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 3, 5, 3, 3, 5, 4, 4, 3, 5, 5, 3, 1, 3, 5, 5, 3, 3, 3, 1, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 5, 5, 4, 3, 5, 3, 5, 3, 5, 4, 3, 5, 5, 3, 5, 4, 3, 4, 2, 3, 5, 4, 4, 5, 5, 4, 3, 2, 4, 2, 4, 5, 4, 5, 4, 2, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 2, 5, 4, 3, 3, 5, 3, 3, 5, 4, 4, 5, 2, 4, 5, 4, 3, 5, 3, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 2, 4, 2, 5, 5, 2, 2, 3, 4, 2, 5, 5], "2514": [5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 5, 2, 5, 5, 5, 4, 4, 4, 5, 4, 2, 4, 5, 5, 5, 4], "4307": [3, 3, 4, 5, 5, 5, 2, 5, 5, 4, 2, 2, 5, 4, 4, 4, 4, 3, 4, 3, 4], "2432": [4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 3, 5, 5, 5, 1, 1, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4], "2190": [3, 5, 3, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4], "2560": [5, 1, 5, 5, 5, 3, 3, 5, 4, 5, 4, 5, 5, 4, 1, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 1, 4, 4, 2, 4, 3, 5], "2918": [4, 5, 2, 5, 1, 4, 4, 2, 4, 4, 5, 4, 5, 2, 3, 4, 1, 5, 4, 3, 5, 2, 3, 5, 1, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 1, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 4, 2, 3, 4, 4, 5, 5, 4, 3, 4, 5, 3, 4, 3, 2, 3, 4, 4, 4, 4, 2, 5, 5, 3, 3, 4, 4, 2, 1, 5, 3, 4, 4, 2, 4, 5, 3, 2, 5, 2, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 2, 5, 4, 4, 4, 3, 3, 4, 2, 3, 2, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 4, 5, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 3, 5, 5, 2, 3, 5, 4, 5, 5, 3, 3, 5, 4, 4, 2, 3, 5, 5, 4, 3, 4, 4, 3, 5, 2, 4, 2, 1, 2, 3, 5, 2, 3, 2, 2, 2, 5, 3, 2, 4, 3, 5, 4, 1, 3, 2, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4, 2, 3, 5, 1, 4, 3, 3, 2, 5, 4, 5, 5, 1, 4, 2, 4, 3, 4, 4, 5, 4, 3, 2, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 2, 4, 4, 3, 3, 5, 5, 3, 2, 3, 4, 4, 2, 5, 4, 4, 3, 1, 3, 4, 5, 4, 5, 2, 4, 3, 5, 4, 4, 4, 2, 5, 2, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5], "3292": [5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 2, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 4, 3, 4, 2, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 3, 4, 5, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 1, 4, 5, 5, 4, 3, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 3, 3, 3, 4, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 2, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 2, 3, 5, 3, 4, 3, 5, 4, 5, 3, 4, 4, 5, 2, 3, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 5, 4, 2, 4, 3, 4, 3, 3, 5, 5, 1, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 5, 4, 3, 4, 5, 2, 2, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 3, 4, 3, 5, 4, 5, 4, 3, 2, 4, 3, 3, 5, 5, 4, 3, 4, 4, 2, 3, 3, 5, 4, 4, 4, 3, 4, 2, 3, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 4, 5, 3, 2, 4, 5, 5, 4, 3, 5, 2, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 5, 5, 3, 5, 4, 3, 3, 5, 5, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 5, 5, 3, 4, 5, 4, 4, 3, 5, 2, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 3, 2, 3, 4, 5, 5, 4, 3, 4, 4, 4, 5, 4, 2, 4, 3, 3, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 5, 4, 5, 2, 4, 4, 3, 5, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 5, 5, 3, 3, 5, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 3, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 3, 5, 3, 4, 4, 3, 5, 3, 5, 5, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 2, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 2, 5, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 3, 5, 4, 3, 5, 3, 5, 4, 4, 3, 4, 2, 4, 2, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 3, 3, 3, 5, 4, 2, 2, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 4, 5, 4, 3, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5], "3697": [4, 5, 5, 5, 5, 3, 3, 2, 5, 5, 4, 5, 3, 5, 5, 1, 3, 4, 5, 3, 4, 5, 3, 2, 5, 1, 3, 5, 3, 4, 5, 5, 3, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 2, 4, 5, 5, 5, 5, 5, 5, 3, 5, 2, 3, 2, 5, 5, 5, 5, 4, 1, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 1, 5, 3], "666": [2, 5, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 5, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 3, 4, 5, 5, 5, 2, 3, 4, 5, 3, 3, 5, 5, 5, 3, 3, 4, 3, 2, 4, 3, 3, 5, 4, 5, 4, 3, 3, 3, 3, 4, 2, 4, 4, 5, 3, 5, 5, 4, 5, 3, 3, 3, 3, 5, 5, 4, 4, 3, 5], "691": [5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 2, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4], "4778": [5, 4, 4, 2, 4, 4, 5, 3, 5, 5, 3, 5, 5, 5, 4, 3, 1, 3, 5, 5, 5, 5, 2, 3, 5, 5, 4, 5], "2407": [3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 3, 4, 5, 3, 5, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 4, 5, 5, 5, 1, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 1, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 5], "1532": [5, 5, 5, 3, 5, 5, 1, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 1, 5, 5, 4, 1, 5, 1, 5, 2, 5, 3, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 1, 2, 5, 5, 3, 4, 4, 1, 5, 5, 3, 1, 5, 5, 4, 3, 1, 5, 5, 5, 5, 2, 5, 1, 5, 5, 4, 5, 2, 5, 2, 4, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5], "3992": [5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 2, 5, 2, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3], "1682": [4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5], "4727": [4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 2, 2, 4], "2725": [4, 5, 1, 4, 4, 3, 1, 5, 5, 2, 3, 3, 4, 5, 3, 5, 2, 2, 4, 3, 3, 3, 4, 4], "3747": [5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5], "4724": [4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 2, 5, 5, 3, 4, 4, 5, 4, 4], "5410": [4, 4, 3, 5, 4, 5, 5, 3, 4, 3, 3, 4, 4, 5, 3, 3, 5, 4, 2, 4, 4, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 5, 3, 5, 3, 4], "4210": [1, 3, 5, 3, 5, 4, 3, 3, 5, 3, 4, 3, 3, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 2, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 3, 3, 5, 5, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 3, 1, 1, 3, 4, 3, 3, 3, 3, 4, 1, 3, 5, 3, 3, 5, 3, 3, 4, 3, 3, 4, 4, 5, 1, 2, 2, 3, 3, 3, 5, 2, 2, 4, 2, 3, 3, 5, 3, 4, 4, 5, 4], "4870": [4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 1, 4, 3, 3, 3, 4, 4, 3, 4, 1, 3, 3, 4, 3, 4, 3, 4, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4], "2809": [5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 2, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 5, 3, 1, 4, 4, 5, 4, 4, 5, 5, 4, 5, 2, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 4, 2, 4, 5, 5, 2, 5, 4, 1, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 1, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5], "129": [3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 2, 3, 3, 5, 5, 1, 3, 4, 3, 4, 5, 5, 3, 4, 2, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 4, 2, 4, 2, 5, 5, 4, 4, 5, 2, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 4, 2, 5, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 1, 4, 3, 5, 2], "56": [1, 5, 5, 4, 4, 1, 4, 3, 4, 5, 3, 2, 3, 5, 4, 2, 5, 5, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 1, 3, 5, 5, 5, 1, 5, 5, 4, 4, 5, 3], "4575": [5, 2, 1, 1, 1, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 5, 1, 1, 5, 5, 1, 2, 1, 5, 1, 1, 5, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 3, 5, 5, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 5, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, 5, 1, 5], "1139": [4, 3, 5, 4, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 3, 3, 5, 3, 4, 5, 3, 4, 4, 5, 1, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 5, 1, 5, 3, 3, 3, 4, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 4, 3, 4, 5, 3, 4, 3, 5, 3, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 1, 4, 5, 3, 5, 4, 5, 5, 3, 2, 3, 5, 4, 4, 5, 4, 4, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 5, 2, 4, 3, 5, 5, 5, 3, 3, 3, 1, 3, 5, 4, 1], "2838": [4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 2, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5], "3564": [3, 4, 3, 3, 4, 4, 4, 5, 4, 2, 3, 3, 3, 4, 4, 3, 2, 2, 2, 3, 4, 1, 5, 3, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 5, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 2, 4, 3, 1, 3, 2, 2, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 2, 2, 3, 4, 4, 2, 4, 3, 3, 4, 4, 3, 4, 4, 3], "5315": [2, 5, 5, 5, 5, 5, 1, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 3, 3, 5], "1024": [5, 5, 2, 3, 4, 5, 3, 3, 4, 2, 5, 3, 4, 3, 5, 3, 4, 4, 5, 3, 2, 3, 2, 4, 3, 3, 3, 5, 3, 5, 5, 5, 4, 4, 4, 1, 1, 5, 5, 4, 4, 5], "3885": [4, 5, 4, 5, 3, 3, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 3, 2, 1, 3, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 5, 4, 1, 2, 3, 5, 4, 4, 5, 1, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 1, 5, 5, 5, 5, 3, 3, 4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 5, 5, 4, 5, 4, 2, 5, 2, 5, 4, 2, 3, 5, 5, 4, 4, 4, 2, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 3, 5, 2, 4, 3, 5, 3, 4, 3, 1, 4, 4, 3, 4, 4, 3, 5, 3, 5, 5, 5, 4, 2, 4, 4, 4, 2, 3, 1, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 2, 4, 3, 5, 5, 5, 5, 4, 1, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 1, 4, 1, 3, 3, 3, 4, 4, 5, 3, 1, 4, 4, 5, 1, 5, 3, 3, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 2, 4, 1, 5, 5, 5, 3, 4, 5, 5, 5, 2, 3, 2, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 1, 4, 3, 3, 3, 4, 2, 3, 5, 4, 2, 1, 1, 3, 5, 3, 4, 3, 4, 4, 3, 2, 2, 4, 3, 4, 4, 5, 4, 3, 5, 5, 1, 3, 3, 3, 3, 2, 5, 3, 4, 2, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 2, 3, 1, 3, 4, 5, 3, 3, 4, 2, 2, 2, 4, 3, 4, 3, 1, 4, 2, 3, 4, 4, 5, 4, 4, 5, 5, 3, 2, 5, 2, 3, 5, 5, 1, 1, 2, 4, 4, 4, 5, 2, 4, 5, 4, 5, 4, 2, 3, 1, 4, 4, 5, 5, 3, 2, 2, 4, 3, 2, 2, 4, 4, 2, 5, 3, 3, 2, 4, 2, 5, 4, 2, 1, 3, 3, 4, 2, 5, 3, 4, 3, 5, 5, 3, 2, 2, 5, 3, 5, 5, 3, 4, 4, 2, 4, 2, 2, 4, 4, 5, 5, 2, 1, 4, 4, 4, 3, 3, 5, 5, 2, 5, 4, 5, 5, 3, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 3, 2, 5, 4, 4, 5, 3, 3, 3, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 3, 3, 4, 4, 5, 2, 5, 4, 3, 4, 5, 4, 4, 4, 3, 5, 5, 1, 4, 3, 5, 5, 3, 2, 2, 5, 3, 5, 4, 3, 1, 5, 4, 5, 4, 5, 3, 2], "403": [5, 5, 2, 3, 4, 5, 4, 4, 3, 4, 2, 4, 4, 4, 1, 5, 5, 5, 4, 5, 3, 5, 3, 5, 5, 5, 3, 2, 3, 3, 2, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 1, 5, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 3, 5, 2, 5, 4, 5, 5, 5, 3, 4, 5, 3, 2, 3, 3, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3, 5, 5, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 3, 4, 3, 5, 5, 2, 4, 5, 3, 2, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 2, 4, 5, 4, 4, 5, 2, 4, 4, 5, 2, 4, 4, 5, 3, 4, 3, 2, 5, 5, 5, 3], "3375": [4, 4, 3, 2, 4, 1, 4, 3, 4, 5, 3, 4, 3, 4, 5, 4, 5], "2599": [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 3, 5, 3, 5, 3, 2, 3, 3, 2, 4, 3, 5, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 5, 3, 3, 4, 4, 2, 2, 4, 4, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 2, 5, 4, 4, 2, 3, 2, 4, 4, 5, 3, 2, 3, 3, 3, 2, 3, 2, 2, 3, 5, 5, 5, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 2, 2, 4, 5, 4, 4, 4, 5, 3, 2, 3, 3, 5, 4, 3, 2, 4, 4, 4, 5, 3, 3, 3, 2, 3, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 5, 3, 4, 2, 5, 4, 4, 4, 3, 5, 2, 5, 3, 5, 3, 5, 2, 3, 5, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 5, 2, 3, 2, 5], "2198": [2, 4, 2, 5, 3, 5, 3, 4, 4, 4, 3, 4, 2, 3, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 3, 2, 2, 2, 2, 4, 2, 2, 5, 4, 4, 3, 3, 3, 4, 5, 4, 3, 5, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4], "5647": [4, 4, 4, 2, 2, 2, 4, 2, 4, 3, 4, 4, 3, 4, 4, 5, 2, 3, 2, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 1, 5, 3, 4, 5, 4, 2, 4, 5, 3, 5, 2, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 3, 5, 5, 5, 4, 2, 5, 3, 5, 2, 4, 5, 3, 4, 5, 4, 4, 5, 2, 5, 1, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 2, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2], "4126": [3, 4, 4, 3, 3, 3, 5, 5, 4, 2, 4, 2, 3, 3, 3, 5, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 1, 4, 4, 2, 5, 4, 4, 4, 3, 5, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 2, 4, 3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 1, 5, 4, 4, 4, 2, 3, 5, 4, 5, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 1, 4, 2, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 2, 3, 3, 2, 3, 4, 3, 5, 2, 3, 4, 3, 4, 4, 4, 2, 5, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 2, 4, 4, 4, 2, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 2, 5, 4, 1, 4, 3, 4, 2, 2, 5, 5, 3, 2, 5, 3, 4, 5, 5, 5, 3, 3, 4, 5, 5, 3, 1, 2, 4, 4, 2, 4, 3, 4, 2, 4, 4, 3, 4], "2342": [4, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 2, 2, 2, 4, 4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 3, 4, 2, 3, 4, 1, 4, 2, 3, 4, 3, 3, 3, 4, 4, 2, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 3, 3, 5, 3, 2, 4, 5, 5], "165": [5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 1, 3, 5, 5, 3, 3, 3, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 5, 4, 5, 4, 5, 3, 4, 2, 3, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4], "1505": [4, 3, 5, 5, 2, 2, 5, 4, 3, 3, 5, 4, 5, 4, 2, 2, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 1, 5, 3, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 3, 4, 5, 2, 5, 3, 5, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 1, 2, 4, 3, 4, 3, 5, 5, 5, 2, 3, 2, 4, 3, 2, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 3, 4, 3, 5, 5, 4, 5, 2, 4, 5, 5, 4, 5, 4, 3, 5, 3, 3, 2, 5, 5, 3, 5, 4, 5, 5, 3, 1, 3, 3, 4, 5, 2, 3, 4, 2, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 2, 5, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 5, 2, 4, 4, 5, 3, 4, 5, 3, 4, 4, 3, 4, 5, 3, 2, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 2, 4, 4, 5, 4, 5, 4, 3, 4, 3, 3], "2276": [4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4], "3501": [4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 1, 4, 5, 5, 2, 5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 5, 5, 3, 5, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 1, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4], "5082": [5, 5, 3, 3, 5, 4, 4, 2, 3, 4, 4, 5, 5, 3, 5, 3, 5, 5, 3, 5, 4, 3, 4, 5, 5, 5, 5, 3, 4, 5, 5, 3, 1, 2, 4, 3, 4, 2, 5, 5, 5, 4, 3, 3, 3, 2, 5, 5, 2, 5, 5, 4, 5, 5, 3, 2, 4, 5, 2, 3, 5, 2, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 5, 5, 4, 5, 3, 1, 3, 3, 3, 5, 2, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 3, 3, 4, 1, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 3, 3, 5, 4, 5, 4, 3, 3, 2, 5, 4, 3, 4, 4, 5, 3, 5, 5, 5, 3, 3, 3, 4, 3, 5, 1, 2, 5, 4, 4, 2, 3, 2, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 3, 2, 3, 5, 4, 5, 5, 3, 1, 4, 5, 5, 3, 2, 3, 5, 3, 3, 2, 4, 4, 5, 3, 4, 4, 3, 2, 4, 3, 3, 3, 5, 4, 5, 2, 2, 3, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 3], "3632": [3, 4, 2, 5, 5, 3, 5, 3, 1, 3, 2, 5], "5571": [3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 1, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 2, 4, 1, 4, 4, 3, 3, 4, 4, 3, 3, 1, 3, 3, 3, 3], "4425": [2, 3, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 5, 3, 2, 3, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 2, 5, 4, 4, 2, 5, 2, 5, 2, 4, 2, 5, 5, 4, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 2, 3, 2, 4, 2, 3, 3, 2, 2, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 3, 5, 3, 3, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 3, 3, 3, 3, 1, 3, 3, 3, 2, 3, 3, 5, 1, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 3, 3, 3, 2, 2, 3, 2, 3, 4, 4, 3, 2, 3, 4, 4, 3, 3, 5, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 1, 3, 3, 3, 5, 2, 3, 3, 3, 3, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 5, 3, 4, 5, 2, 3, 4, 3, 2, 2, 1, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 2, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 2, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 4, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 5, 2, 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 4, 2, 2, 4, 4, 3, 4, 5, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 1, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 1, 2, 4, 3, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 5, 5, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 2, 2, 4, 4, 2, 4, 2, 2, 3, 4, 4, 3, 2, 1, 3, 2, 3, 3, 5, 4, 3, 3, 3, 3, 2, 4, 4, 5, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 2, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 2, 4, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 3, 2, 2, 4, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 5, 3, 4, 3, 3, 2, 3, 2, 1, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 2, 4, 3, 4, 5, 3, 3], "4195": [5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 1, 5, 5, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 1, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4], "5538": [3, 4, 4, 3, 5, 4, 3, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 5, 2, 3, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5], "3107": [4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 2, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 5, 5, 3, 3, 3, 5, 2, 5, 3, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 3, 5, 4, 5, 2, 2, 2, 3], "5047": [3, 3, 2, 3, 4, 4, 5, 1, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 3, 4, 4, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 5, 4, 4, 5, 5, 5, 2, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 2, 4, 3, 4, 3, 4, 3, 2, 2, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 5, 5, 3, 5, 2, 2, 4, 5, 4, 1, 3, 4, 5, 2, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 2, 3, 3, 2, 3, 3, 4, 5, 5, 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 5, 3, 5, 4, 2, 4, 2, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 3, 4, 2, 4, 2, 3, 4, 2, 3, 3, 5, 3, 4, 3, 3, 3, 1, 4, 4, 4, 3, 3, 3, 5, 4, 4, 2, 4, 3, 2, 4, 2, 3, 3, 2, 5, 4, 5, 4, 5, 1, 3, 5, 1, 3, 4, 3, 1, 5, 4, 4, 2, 4, 3, 4, 2, 4, 3, 1, 3, 4, 3, 3, 3, 3, 3, 5, 3, 4, 3, 5, 4, 3, 4, 2, 2, 2, 5, 4, 3, 4, 2, 4, 3, 3, 4, 5, 3, 4, 5, 3, 2], "3712": [3, 3, 2, 5, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 3, 5, 3, 4, 5, 3, 3, 4, 5, 3, 4, 2, 3, 4, 3, 3, 5, 3, 2, 4, 2, 3, 4, 3, 3, 3, 5, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 5, 3, 2, 3, 3, 5, 3, 2, 3, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 2, 4, 4, 2, 4, 4, 3, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 5, 3, 2, 3, 3, 5, 3, 2, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3], "5689": [2, 4, 3, 4, 3, 3, 3, 4, 4, 2, 5, 4, 3, 5, 4, 5, 3, 5, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 5, 4, 2, 3, 4, 4, 4, 3, 2, 5, 5, 3, 4, 4, 3, 3, 4, 3, 1, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 2, 2, 5, 2, 2, 3, 3, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 3, 4, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 4, 5, 4, 2, 2, 3, 5, 3, 5, 5, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 2, 4, 5, 3, 4, 4, 4, 3, 2, 5, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 2, 4, 4, 2, 5, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 5, 4, 4, 4, 4, 2, 5, 2, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 5, 4, 3, 4, 5, 4, 5, 4, 3, 3, 3, 2, 5, 4, 3, 3, 2, 3, 4, 4, 3, 2, 4, 5, 3, 5, 3, 4, 3, 5, 2, 5, 3, 5, 4, 4, 4, 3, 3, 5, 1, 3, 3, 4, 4, 1, 3, 3, 4, 4, 2, 5, 3, 4, 3, 4, 4, 5, 4, 4, 3, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 2, 4, 3, 3, 2, 4, 4, 4, 3, 5, 3, 3, 5, 5, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 5, 3, 5, 3, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 2, 4, 3, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 2, 5, 4, 4, 4, 5], "4900": [5, 4, 4, 2, 5], "4767": [4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 3, 2, 4, 5, 5, 4, 5, 2, 4, 3, 4, 3, 5, 4, 4, 4, 4], "958": [5, 4, 4, 1, 5, 4, 2, 3, 4, 5, 4, 2, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 1, 4, 4, 3, 3, 4, 5, 5, 5, 4, 5, 2, 3, 4, 4, 4, 3, 5, 2, 4, 4, 2, 4, 3, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 1, 4, 2, 2, 1, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 3, 5, 5, 5, 4, 4, 4, 5], "3856": [5, 5, 5, 5, 3, 5, 3, 2, 5, 3, 5, 2, 5, 1, 5, 5, 5, 5, 5, 4, 5, 5, 4, 1, 4, 3, 3, 4, 5, 2, 5, 5, 4, 3], "3800": [4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 5, 3, 1, 4, 3, 5, 3, 3, 3, 5, 2, 3, 4, 4, 4, 4, 3, 3, 4, 3, 5], "4649": [5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5], "2710": [5, 4, 2, 3, 4], "1047": [4, 3, 4, 3, 4, 3, 2, 4, 4, 5, 2, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4], "572": [1, 2, 1, 3, 1, 3], "5429": [3, 1, 2, 4, 3, 4, 5, 4, 5, 4, 4, 1, 5, 5, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 2, 1, 2, 5, 3, 2, 5, 4, 3, 5, 4, 3, 5, 5, 5, 5, 5, 1, 1, 5, 5, 4, 5, 5, 5, 3, 4, 5, 1, 5, 4, 1, 4, 3, 1, 3, 2, 5, 5, 3, 5, 1, 4, 5, 4, 2, 4, 5, 3, 5, 5, 4, 5, 4, 2, 4, 2, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 1, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5], "125": [4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5], "599": [5, 1, 3, 4, 4, 3, 4, 5, 5, 4, 3, 5, 3, 5, 4, 5, 3, 4, 3, 3, 5, 3, 3, 3, 4, 5], "5413": [5, 2, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 2, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 5, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 5], "1160": [5, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 3, 5, 3, 3], "4160": [1, 4, 2, 5, 4, 4, 2, 4, 4, 4, 1, 3, 3, 4, 5, 4, 3, 5, 2, 4, 2, 2, 3, 3, 2, 4, 5, 5, 3, 2, 2, 4, 2, 2, 5, 5, 3, 4, 5, 2, 4, 4, 2, 3, 2, 4, 4, 3, 3, 2, 4, 4, 4, 2, 3, 3, 2, 3, 5, 3, 2, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 1, 1, 1, 2, 4, 3, 3, 1, 5, 4, 5, 2, 3, 4, 2, 2, 5, 4, 5, 4, 2, 5, 4, 3, 2, 5, 5, 4, 2, 3, 1, 4, 4], "2630": [5, 5, 3, 1, 1, 2, 4, 3, 5, 4, 4, 5, 5, 2, 4, 4], "1687": [4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 3, 3, 3, 1, 5, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 2, 3, 5, 4, 5, 5, 2, 4, 2, 1, 2, 5, 5, 3, 4, 4, 2, 4, 5, 3, 3, 1, 5, 4, 4, 3, 5, 4, 4, 4, 2, 5, 4, 3, 3, 5, 1, 3, 5, 3, 5, 3, 5, 5, 4, 2, 4, 2, 1, 4, 3, 4, 5, 5, 4, 1, 4, 4, 5, 4, 3, 4, 4, 3, 3, 4, 5, 5, 1, 4, 3, 3, 4, 3, 4, 5, 4, 5, 3, 5, 3, 3, 3, 4, 4, 1, 3, 1, 4, 5, 2, 3, 4, 2, 1, 2, 5, 4, 4, 5, 3, 1, 2, 5, 4, 4, 4, 4, 4, 4, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 5, 4, 4, 4, 4, 5, 4, 2, 4, 3, 2, 4, 3, 5, 4, 4, 5, 3, 1, 4, 4, 3, 2, 1, 3, 2, 3, 5, 3, 5, 5, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 3, 3, 2, 4, 4, 2, 5, 1, 1, 1, 3, 3, 1, 5, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 5, 4, 4, 5, 1, 2, 1, 4, 4, 5, 3, 1, 3, 4, 3, 2, 1, 4, 2, 4, 3, 4, 3, 3, 1, 5, 3, 3, 2, 4, 2, 3, 5, 3, 2, 4, 4, 3, 5, 4, 2, 5, 1, 1, 5, 2, 1, 5, 1, 2, 3, 3, 3, 5, 3, 4, 2, 4, 5, 4, 5, 5, 5, 3, 4, 4, 3, 3, 5, 4, 4, 1, 5, 1, 4, 4, 5, 2, 5, 4, 4, 4, 4, 2, 4, 5, 5, 5, 4, 5, 4, 1, 1, 4, 3, 4, 2, 3], "355": [4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 3, 2, 4, 4, 4, 4, 4, 2, 1, 4, 3, 3, 4, 5, 5, 4, 3, 5, 5, 4, 5, 2, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 3, 2, 2, 2, 3, 4, 3, 4, 1, 2, 3, 4, 3, 5, 1, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 2, 3, 4, 4, 5, 4, 3, 4, 1, 4, 3, 2, 2, 4, 4, 2, 5, 4, 2, 1, 4, 3, 4, 4, 3, 2, 4, 1, 2, 5, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 2, 4, 5, 4, 4, 3, 1, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 2, 4, 4, 4, 3, 4, 1, 4, 4, 4, 3, 4, 3, 4, 4, 1, 3, 4, 4, 4, 1, 5, 4, 4, 4, 3, 4, 5, 4, 1, 3, 3, 4, 4, 4, 3, 4, 5, 5, 2, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 1, 5, 3, 5, 2, 1, 5, 4, 4, 2, 5, 2, 3, 3, 4, 4, 1, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 2, 4, 5, 2, 4, 3, 4, 5, 5, 3, 4, 4, 5, 5, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 1, 2, 5, 1, 4, 3, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4], "4947": [2, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 2, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 3, 5, 4, 5], "5281": [3, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 1, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 5, 5, 4, 5, 3, 4, 5, 4, 3, 4, 3, 5, 4, 2, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 3, 3, 5, 3, 4], "5568": [3, 4, 5, 4, 5, 2, 3, 5, 3, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 2, 5, 3, 2, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 2, 5, 5, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 3, 2, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 4, 3, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 2, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 2, 3, 4, 5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 2, 3, 3, 4, 4, 2, 5, 3, 4, 5, 4, 5, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 5, 4, 3, 3, 5, 4, 4, 2, 4, 3, 5, 3, 5, 3, 3, 3, 3, 3, 5, 3, 4, 4, 5, 5, 3, 4, 5, 3, 5, 3, 3, 5, 5, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 5, 4, 5, 3, 4, 4, 5, 3, 2, 5], "4110": [5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 4, 5, 2, 3], "2862": [4, 4, 4, 2, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 3, 4, 5, 5, 3, 5, 4, 4, 2, 4, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 1, 1, 3, 5, 3, 5, 3, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 3, 3, 4], "5022": [4, 5, 5, 2, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 3, 3, 5, 5, 4, 5, 5, 5, 5, 3], "6025": [4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 5, 3, 1, 4, 3, 5, 3, 4, 5, 2, 3, 1, 4, 2, 1, 3, 3, 4, 5, 4, 5, 3, 3, 4, 2, 4, 1, 3, 3, 2, 5, 4, 5, 4, 4, 3, 3, 3, 3, 3, 5, 1, 5, 4, 4, 5, 2, 3, 4, 4, 3, 3, 3, 2, 2, 1, 4, 4, 3, 3, 3, 2, 3, 4, 1, 4, 5, 3, 3, 2, 4, 4, 5, 1, 4, 3, 5, 5, 4, 3, 1, 3, 2, 1, 1, 1, 1, 4, 3, 3, 4, 1, 1, 2, 3, 3, 2, 1, 4, 4, 4, 2, 5, 2, 4, 3, 2, 2, 5, 5, 5, 2, 4, 5, 5, 5, 3, 4, 3, 2, 4, 5, 1, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 1, 4, 2, 3, 2, 4, 5, 2, 2, 5, 2, 4, 3, 5, 2, 5, 4, 3, 4, 3, 3, 5, 3, 2, 5, 3, 4, 5, 1, 4, 4, 4, 3, 3, 3, 4, 3, 5, 4, 3, 1, 4, 3, 1, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 1, 2, 3, 2, 3, 3, 4, 5, 4, 3], "4800": [2, 3, 4, 4, 1, 5, 4, 5, 4, 2, 5, 3, 2, 3, 3, 3, 3, 1, 4, 3, 1, 5, 3, 2, 3, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 3, 2, 4, 2, 2, 2, 5, 5, 4, 4, 2, 1, 4, 3, 4, 5, 5, 4, 2, 2, 1, 3, 3, 2, 2, 3, 3, 2, 5, 2, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 2, 3, 5, 2, 4, 4, 5, 1, 2, 2, 2, 1, 3, 2, 4, 5, 4, 5, 4, 5, 2, 4, 3, 4, 4, 2, 5, 5, 3, 2, 5, 4, 4, 4, 4, 5, 2, 4, 2, 3, 2, 3, 3, 2, 5, 4, 2, 5, 1, 4, 4, 5, 3, 1, 2, 3, 1, 2, 4, 1, 4, 2, 4, 3, 4, 4, 2, 3, 1, 3, 3, 5, 2, 4, 3, 3, 4, 4, 3, 4, 3, 4, 2, 5, 3, 3, 1, 3, 2, 2, 5, 4, 2, 5, 4, 3, 2, 5, 1, 4, 5, 2, 3, 2, 3, 2, 3, 4, 3, 3, 5, 5, 5, 2, 4, 3, 4, 2, 4, 4, 5, 5, 3, 3, 3, 3, 5, 2, 5, 4], "2624": [4, 4, 4, 3, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 4, 4, 2, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 3, 3, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 4, 4, 5, 5, 3, 3, 4, 5, 4, 5, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 3, 3, 5, 3, 3, 3, 4, 5, 4, 5, 5, 4, 4, 3, 5, 3, 5, 4, 3, 5, 5, 4, 3, 4, 5, 3, 4, 5, 3, 4, 4], "4636": [1, 2, 3, 2, 2, 3, 1, 4, 2, 2], "3915": [5, 4, 1, 2, 4, 5, 1], "63": [4, 5, 5, 4, 3, 5, 3, 4, 3, 1, 5, 2, 3, 5, 2, 5, 4, 3, 4, 5, 2, 3, 4, 5, 4, 5, 5], "1154": [5, 3, 1, 2, 5, 1, 1, 3, 2, 5, 5, 4], "3790": [5, 4, 4, 3, 4, 5, 5, 2, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 2, 5, 5, 3, 5, 1, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 4, 4, 5, 5, 4, 2, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 2, 5, 5, 2, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 1, 5, 5, 3, 3, 4, 3, 4], "1808": [5, 2, 5, 4, 4, 5, 4, 3, 4, 1, 2, 3, 2, 1], "2222": [2, 2, 5, 3, 3, 4, 4, 5, 5, 1, 4, 4, 5, 4, 5, 3, 4, 5, 2, 5, 5, 2, 2, 4, 2, 1, 3, 1, 1, 5, 2, 5, 5, 5, 4, 5, 4, 3, 3, 2, 4, 2, 5, 4, 4, 4, 5, 2, 4, 4, 4, 2, 2, 2, 2, 3, 5, 4, 4, 4, 3, 3, 5, 5, 4, 3, 2, 3, 3, 3, 4, 2, 3, 5, 5, 5, 3, 5, 3, 2, 1, 3, 2, 1, 3, 5, 5, 5, 5, 2, 1, 3, 5, 2, 1, 3, 5, 5, 1, 1, 5, 3, 1, 2, 5, 4, 1, 5, 1, 3, 5, 4, 5, 4, 2, 5, 3, 4, 1, 2, 4, 5, 3, 4, 4, 4, 4, 5, 5, 3, 3, 1, 5, 5, 4, 5, 4, 5, 2, 1, 4, 4, 2, 5, 5, 5, 5, 1, 4, 3, 1, 5, 4, 4, 2, 4, 5, 5, 3, 3, 3, 4, 5, 5, 2, 1, 4, 3, 3, 5, 5, 3, 3, 3, 4, 4, 5, 1, 4, 5, 5, 3, 4, 1, 3, 1, 3, 4, 4, 5, 4, 3, 1, 5, 3, 3, 4, 5, 5, 3], "4028": [5, 1, 5, 5, 1, 1, 1, 1, 5, 2, 1, 1, 1, 5, 1, 1, 1, 5, 1, 4, 4, 5, 5, 4, 1, 1, 5, 5, 4, 5, 2, 5, 5, 4, 4, 1, 1, 1, 5, 1, 5, 1, 5, 1, 5, 1, 4, 1, 1, 4, 2, 1, 1, 4, 1, 3, 1, 5, 5, 4, 1, 1, 5, 1, 5, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 4, 1, 4, 5, 4, 5, 2, 5, 5, 1, 2, 1, 1, 1, 1, 1, 4, 5, 4, 4, 5, 5, 5, 1, 5, 1, 1, 3, 5, 5, 1, 5, 5, 1, 5, 5, 1, 1, 2, 1, 5, 3, 5, 1, 5, 2, 5, 5, 4, 5, 5, 1, 1, 5, 1, 3, 5, 5, 4, 4, 5, 5, 5, 1, 5, 4, 5, 5, 5, 4, 4, 5, 5, 1, 1, 1, 5, 5, 1, 1, 4, 1, 5, 5, 5, 4, 1, 3, 5, 1, 4, 5, 1, 4, 3, 4, 5, 5, 5, 5, 5, 1, 3, 3, 3, 5, 5, 5, 5, 1, 2, 1, 5, 5, 5, 2, 1, 5, 5, 1, 1, 1, 5, 5, 4, 4, 1, 2, 5, 4, 1, 5, 1, 4, 5, 1, 5, 5, 5, 4, 5, 2, 5, 5, 1, 5, 4, 5, 4, 5, 4, 1, 3, 5, 1, 1, 5, 2, 5, 5, 5, 5, 5, 1, 5, 1, 1, 1, 1, 5, 1, 1, 5, 5, 5, 1, 1, 4, 5, 4, 5, 1, 1, 5, 5, 5, 2, 5, 3, 5, 5, 5, 2, 1, 2, 5, 1, 2, 1, 5, 5, 5, 1, 5, 3, 3, 5, 3, 1, 2, 3, 5, 3, 5, 4, 5, 3, 3, 3, 5, 1, 5, 5, 4, 5, 1, 5, 1, 5, 2, 5, 1, 5, 4, 3, 5, 2, 5, 1, 5, 1, 5, 1, 1, 5, 1, 1, 2, 1, 5, 5, 3, 1, 1, 1, 5, 3, 5, 1, 5, 1, 5, 5, 1, 1, 5, 1, 5, 4, 5, 5, 5, 5, 2, 2, 2, 5, 5, 1, 2, 5, 5, 3, 1, 3, 5, 4, 5, 4, 5, 5, 5, 5, 1, 3, 3, 5, 5, 5, 5, 5, 5, 4, 1, 5, 1, 5, 5, 1, 1, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 2, 5, 1, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 3, 3, 5, 5, 5, 5, 1, 5, 4, 5, 5, 4, 5, 1, 5, 4, 5, 3, 4, 5, 5, 5, 5], "35": [4, 4, 4, 2, 3, 4, 1, 3, 1, 1, 4, 4, 3, 2, 5, 4, 1, 2, 3, 5, 4, 4, 4, 5, 4, 2, 2, 3, 4, 2, 3, 4, 4, 3, 3, 2, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 2, 3, 4, 4, 4, 3, 4, 1, 5, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 5, 1, 3, 3, 3, 4, 3, 4, 3, 3, 1, 2, 4, 4, 2, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 5, 3, 1, 3, 4, 4, 5, 2, 5, 3, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 1, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 2, 3, 1, 4, 4, 5], "5587": [4, 5, 5, 2, 5, 4, 4, 4, 1, 4, 2, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 5, 2], "1050": [3, 1, 2, 5, 2, 3, 3, 2, 2, 3, 4, 4, 3, 4, 3, 2, 3, 2, 2, 4, 3, 4, 4, 2, 4, 3, 4, 3, 3, 3, 5, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 4, 3, 2, 3, 2, 3, 3, 4, 4, 4, 2, 2, 3, 1, 3, 4, 2, 4, 1, 3, 3, 2, 3, 3, 5, 3, 2, 2, 1, 1, 3, 4, 3, 1, 3, 4, 4, 3, 2, 2, 1, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 1, 3, 4, 3, 3, 4, 2, 3, 2, 1, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 3, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 1, 2, 3, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 5, 4, 4, 2, 3, 4, 5, 2, 2, 2, 5, 5, 3, 3, 5, 1, 4, 4, 3, 2, 4, 4, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 2, 2, 1, 3, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 2, 2, 4, 4, 4, 3, 4, 3, 3, 3, 5, 1, 2, 3, 2, 2, 2, 3, 2, 4, 4, 3, 2, 2, 3, 4, 3, 3, 2, 5, 2, 3, 3, 3, 3, 1, 3, 2, 3, 4, 4, 3, 2, 2, 4, 2, 3, 3, 2, 4, 1, 4, 3, 3, 5, 4, 3, 3, 5, 1, 4, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 4, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 5, 3, 3, 4, 2, 3, 3, 3, 4, 3, 3, 1, 2, 5, 3, 4, 4, 3, 3, 3, 3, 5, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 3, 3, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 2, 4, 2, 3, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 4, 4, 4, 2, 4, 4, 3, 1, 3, 1, 2, 3, 3, 4, 3, 1], "4062": [4, 4, 5, 5, 4, 5, 2, 3, 4, 3, 4, 3, 5, 4, 3, 2, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 2, 3, 4, 2, 3, 4, 3, 4, 5, 4, 2, 4, 3, 2, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 1, 4, 4, 5, 3, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 2, 4, 2, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 1, 4, 4, 5, 3, 3, 2, 4, 4, 4, 4, 5, 3, 4, 2, 3, 5, 3, 4, 4, 4, 3, 4, 2, 5, 5, 3, 3, 4, 3, 4, 3, 5, 3, 3], "4990": [5, 3, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 3, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 2, 5, 4, 5, 3], "3596": [3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5], "3218": [5, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 5, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 4, 2, 2, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3], "1595": [4, 4, 3, 3, 3, 4, 5, 2, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 2, 4, 2, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 1, 5, 4, 4, 3, 4, 5, 5, 5, 5, 3, 4, 2, 4, 3, 2, 5, 5, 3, 4, 5, 4, 5, 2, 4, 3, 2, 4, 2, 3, 4, 5, 4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 4, 5], "4625": [5, 5, 4, 1, 3, 4, 1, 3, 2, 5, 2, 3, 3, 5, 4, 4, 3, 3, 5, 5, 3, 3, 5, 5, 4, 4, 3, 5, 5, 3, 1, 3, 3, 4, 2, 3, 5, 2, 1, 5, 5, 3, 3, 4, 3, 5, 2, 4, 3, 2, 4, 4, 4, 1, 1, 2, 2, 5, 3, 1, 5, 4, 4, 3, 4, 3, 4], "5920": [5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 3, 2, 5, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 2, 4, 3, 2, 4, 5, 3, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 3, 2, 5, 3, 5, 5, 4, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 3, 2, 5, 5, 3, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 5, 3, 3, 5, 5, 4, 3, 4, 4, 5], "1609": [4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 3, 4, 5, 4, 2, 4, 3, 4, 3, 4, 5, 4, 2, 3, 3, 5, 4, 3, 5, 3, 5, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 5, 3, 3, 5, 4, 5, 2, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 2, 3, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 3, 3, 2, 2, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 3, 5, 3, 2, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 5, 1, 1, 4, 4, 3, 3, 3, 3, 1, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 2, 3, 2, 5, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 1, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 2, 4, 5, 3, 3, 3, 5, 3, 4, 2, 3, 3, 5, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 5, 2, 4, 3], "613": [4, 5, 3, 5, 4, 2, 5, 4, 3, 4, 5, 4, 3, 4, 1, 5, 3, 2, 4, 3, 4, 3, 3, 3, 3, 4, 5, 4, 3, 5, 4, 3, 2, 3, 4, 4, 3, 5, 3, 3, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 3, 1, 3, 3, 3, 4, 3, 4, 5, 4, 4, 5, 2, 3, 3, 2, 5, 1, 5, 4, 4, 4, 2, 3, 3, 1, 5, 3, 4, 4, 3, 5, 4, 5, 3, 5, 3, 3, 5, 3, 4, 4, 4, 1], "3439": [3, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 3, 3, 4, 2, 5, 3, 5, 4, 4, 4, 5, 3, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 3, 2, 4, 3, 5, 4, 4, 2, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 3, 2, 3, 4, 5, 5, 4, 3], "1226": [3, 2, 5, 4], "5424": [3, 5, 3, 5, 3, 5, 4, 2, 5, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 3], "1554": [4, 3, 3, 3, 4, 3, 3, 4, 5, 4, 5, 3, 5, 5, 5, 1, 5, 2, 4, 2, 5, 4, 4, 5, 4, 5, 3, 3, 5], "4420": [5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 1, 1, 2, 5, 1, 5, 3, 4, 5, 4, 4, 4, 3], "3014": [3, 4, 3, 4, 2, 3, 5, 5, 4, 4, 1, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 1, 5, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 2, 5, 3, 2, 3, 3, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 2, 4, 4, 3, 2, 3, 3, 3, 5, 4, 3, 3, 4, 2, 5, 4, 3, 5, 4, 4, 4, 3, 4, 2, 3, 3, 5, 5, 4, 3, 4, 4, 3, 5, 5, 2, 4, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 2, 3, 3, 2, 4, 5, 2, 3, 5, 4, 5, 4, 5, 1, 3, 5], "4005": [3, 3, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 3, 3, 4, 3, 2, 5, 3, 3, 5, 5, 2, 3, 3, 5, 5, 4, 2, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 2, 4, 4, 4, 5, 5, 3, 5, 3, 5, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 2, 3, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 1, 3, 4, 4, 4, 4, 2, 5, 5, 5, 4, 4, 3, 5, 4, 4, 2, 5, 3, 5, 3, 5, 4, 3, 4, 4, 2, 5, 3, 2, 3, 1, 3, 5, 4, 5, 5, 4, 4, 2, 4, 5, 5, 4, 5, 4, 3, 4, 5, 3, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 5, 2, 5, 5, 5, 3, 3, 5, 3, 4, 5, 4, 5, 5], "4057": [4, 2, 4, 3, 2, 4, 4, 1, 4, 3, 3, 5, 4, 3, 5, 4, 2, 2, 5, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4], "389": [4, 5, 4, 1, 1, 4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 3, 4, 3, 4, 5, 5, 4, 4, 1, 5, 5, 4, 1, 2, 4, 5, 5, 5, 4, 4, 4, 4, 5, 1, 1, 5, 5, 5, 3, 3], "2898": [5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 3, 1, 5, 3, 5, 3, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 2, 5, 5, 4, 4], "1930": [4, 4, 1, 2, 2, 4, 3, 1, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 2, 3, 3, 4, 4, 2, 2, 3, 2, 4, 4, 2, 3, 2, 4, 5, 4, 3, 2, 4, 2, 2, 4, 4, 2, 3, 4, 4, 3, 3, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 4, 3, 4, 2, 3, 3, 3, 5, 2, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 2, 2, 2, 2, 3, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 5, 3, 4, 2, 2, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 1, 2, 2, 3, 3, 1, 3, 4, 4, 4, 3, 5, 2, 4, 3, 4, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 1, 1, 1, 1, 4, 1, 4, 4, 4, 4, 3, 2, 3, 4, 3, 5, 2, 3, 4, 3, 3, 4, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 4, 4, 5, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 3, 2, 3, 2, 2, 2, 3, 4, 2, 2, 3, 3, 1, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 2, 3, 3, 4, 2, 4, 3, 3, 1, 4, 4, 2, 5], "2196": [2, 4, 4, 5, 4, 4, 5, 5, 5], "3808": [4, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 4, 1, 3, 4, 4, 4, 2, 5, 5, 3, 3, 2, 3, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 2, 5, 3, 1, 5, 3, 1, 4, 5, 4, 4, 4, 3, 4, 4, 5, 2, 4, 3, 5, 4, 5, 5, 4, 4, 2, 2, 1, 1, 4, 2, 3, 2, 4, 5, 4, 4, 1, 3, 5, 5, 1, 4, 1, 3, 3, 4, 4, 4, 4, 2, 4, 2, 4, 3, 2, 3, 3, 4, 2, 3, 3, 4, 4, 2, 3, 4, 4, 2, 3, 2, 1, 3, 4, 3, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 1, 3, 2, 3, 4, 2, 4, 3, 4, 1, 4, 2, 3, 3, 3, 1, 3, 1, 3, 2, 3, 3, 4, 2, 5, 1, 1, 1, 1, 4, 2, 3, 2, 2, 3, 4, 4, 2, 4, 5, 4, 4, 3, 4, 1, 1, 4, 4, 3, 1, 4, 4, 4, 3, 5, 1, 4, 3, 2, 4, 3, 4, 4, 2, 1, 2, 3, 2, 4, 3, 1, 1, 4, 4, 4, 3, 4, 4, 1, 5, 4, 1, 2, 4, 3, 4, 4, 3, 1, 3, 2, 3, 1, 1, 3, 3, 4, 1, 4, 1, 4, 3, 4, 5, 1, 3, 1, 1, 1, 4, 3, 3, 3, 1, 3, 4, 3, 2, 3, 4, 4, 5, 3, 3, 3, 5, 2, 5, 2, 1, 2, 2, 3, 4, 2, 2, 1, 1, 2, 2, 1, 4, 2, 2, 4, 3, 3, 3, 1, 3, 3, 1, 2, 1, 4, 1, 4, 5, 2, 2, 3, 3, 1, 1, 2, 4, 1, 3, 4, 5, 5, 1, 3, 3, 4, 2, 4, 1, 4, 5, 3, 1, 3, 1, 3, 3, 2, 2, 5, 3, 2, 3, 4, 4, 3, 3, 2, 1, 2, 1, 1, 1, 3, 3, 4, 2, 1, 4, 1, 3, 3, 4, 4, 4, 1, 3, 5, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 3, 3, 4, 5, 3, 3, 2, 4, 4, 4, 1, 3, 1, 5, 1, 2, 1, 3, 2, 3, 1, 1, 2, 2, 3, 4, 3, 3, 3, 3, 3, 1, 4, 3, 4, 4, 3, 3, 5, 4, 5, 4, 1, 4, 5, 2, 1, 5, 3, 4, 4, 4, 2, 1, 4, 4, 4, 1, 1, 3, 4, 2, 3, 1, 4, 5, 2, 3, 1, 1, 1, 2, 2, 3, 2, 4, 4, 5, 4, 2, 1, 4, 2, 3, 4, 3, 2, 5, 2, 2, 3, 4, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 1, 1, 1, 2, 4, 3, 3, 4, 4, 2, 4, 3, 2, 3, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 3, 2, 3, 1, 2, 3, 5, 3, 1, 3, 2, 3, 2, 3, 2, 5, 1, 1, 3, 2, 3, 1, 4, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 1, 5, 1, 2, 3, 4, 2, 2, 2, 1, 2, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 3, 1, 3, 3, 3, 2, 2, 3, 3, 2, 1, 3, 4, 2, 1, 5, 2, 3, 5, 5, 4, 5, 2, 4, 4, 2, 4, 2, 4, 4, 3, 2, 4, 4, 1, 1, 2, 3, 4, 2, 1, 3, 3, 1, 1, 4, 3, 1, 3, 3, 1, 4, 3, 1, 2, 4, 1, 4, 3, 2, 1, 4, 2, 3, 4, 5, 4, 2, 2, 2, 5, 1, 3, 1, 4, 1, 5, 3, 5, 5, 3, 1, 4, 2, 4, 4, 1, 3, 4, 2, 1, 1, 1, 1, 2, 3, 2, 2, 3, 1, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 1, 3, 3, 4, 2, 3, 5, 3, 2, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 1, 5, 3, 4, 2, 1, 2, 3, 3, 4, 3, 1, 2, 4, 5, 4, 3, 2, 5, 2, 4, 1, 4, 3, 3, 1, 1, 3, 2, 3, 3, 4, 2, 2, 4, 2, 1, 3, 4, 3, 3, 4, 2, 2, 3, 2, 2, 3, 3, 3, 2, 1, 3, 4, 2, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 2, 3, 3, 3, 3, 2, 4, 5, 2, 4, 5, 4, 3, 4, 4, 4, 2, 4, 2, 1, 4, 3, 4, 1, 4, 1, 1, 1, 4, 4, 3, 1, 2, 4, 4, 3, 5, 3, 4, 5, 4, 3, 2, 4, 1, 3, 3, 5, 2, 4, 4, 4, 3, 3, 5, 3, 4, 1, 4, 4, 5, 3, 4, 3, 3, 1, 4, 3, 4, 2, 1, 1, 1, 4, 1, 2, 1, 4, 3, 1, 4, 2, 5, 4, 3, 2, 3, 3, 2, 2, 3, 1, 3, 2, 1, 3, 4, 3, 2, 1, 1, 1, 1, 3, 3, 3, 4, 3, 3, 3, 5, 1, 3, 1, 3, 4, 3, 2, 3, 3, 4, 3, 5, 3, 3, 3, 4, 4, 3, 2, 4, 1, 3, 1, 4, 3, 4, 1, 3, 1, 1, 3, 1, 4, 1, 4, 4, 3, 1, 4, 2, 4, 4, 1, 4, 4, 2, 2, 5, 1, 4, 5, 2, 2, 3, 5, 5, 3, 5, 3, 4, 2, 4, 3, 5, 3, 4, 4, 2, 3, 2, 3, 1, 5, 3, 1, 4, 1, 2, 5, 1, 3, 5, 5, 4, 1, 3, 2, 3, 4, 4, 5, 3, 3, 3, 2, 4, 1, 3, 1, 4, 4, 4, 5, 5, 4, 3, 5, 1, 4, 3, 3, 5, 4, 4, 3, 4, 3, 3, 3, 3, 3, 2, 4, 2, 5, 5, 1, 3, 3, 5, 2, 4, 4, 3, 4, 3, 4, 2, 2, 3, 2, 4, 2, 5, 3, 3, 3, 5, 4, 4], "2740": [2, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 5, 4, 5, 3, 3, 4, 2, 3, 4, 4, 3, 2, 4, 5, 4, 3, 4, 3, 4, 4, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 1, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 4, 4, 2, 4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 2, 5, 5, 4, 2, 4, 5, 4, 2], "2656": [5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 2, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 5, 5, 4, 4, 2, 5, 5, 5, 4, 5, 4, 3, 5, 3, 4, 4, 3, 2, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5], "1713": [3, 1, 1, 1, 4, 2, 5, 3, 5, 2], "5821": [5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 1, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 1, 5, 4, 3], "1363": [5, 5, 5, 5, 4, 5, 5, 3, 2, 4, 5], "3046": [4, 2, 5, 1, 1, 4, 2, 3, 2, 3, 4, 5, 1], "5235": [5, 2, 5, 3, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 3], "2939": [3, 3, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 1, 4, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 5, 2, 2, 5, 4, 2, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 4, 5, 4, 3, 3, 1, 4, 4, 4, 4, 3, 4, 3, 5, 4, 2, 4, 3, 4, 3, 2, 5, 2, 3, 3, 4, 3, 4, 5, 4, 5, 5, 4, 2, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 2, 2, 3, 5, 4, 4], "5719": [4, 3, 4, 1, 3, 1, 5, 1, 3, 2, 5, 2, 1, 2, 5, 3, 4, 4, 4, 1], "2216": [2, 4, 1, 1, 4, 1, 4, 5, 5, 4, 3, 5, 4, 2, 1, 2, 4, 5, 2, 5, 2], "4766": [5, 4, 3, 3], "4726": [4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 5, 3, 2, 5, 3, 3, 4, 3, 4, 4, 3, 2, 4, 5, 5, 4, 3, 2, 2, 4, 4, 4, 2, 4, 5, 2, 3, 3, 4, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 3, 5, 3, 3, 3, 4, 4, 5, 5, 3, 5, 4, 2, 4, 4, 4, 2, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 5, 5, 5, 5, 4, 3, 5, 4, 3, 5, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 5, 2, 3, 4, 4, 5, 3, 5, 4, 5, 5, 3, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 2, 4, 5, 4, 4, 2, 3, 4, 5, 4, 1, 3, 5, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 5, 2, 3, 5, 4, 4, 2, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 5, 3, 4], "5626": [4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 3, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 5, 1, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 2, 3, 2], "2593": [4, 4, 2, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5], "5451": [5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 1, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 3, 5, 2, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 3, 5, 3, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 1, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4], "1006": [2, 2, 4, 2, 5, 3, 5, 1, 4, 5, 2, 4, 4, 5, 5, 4], "2321": [4, 5, 5, 5, 3, 5, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 3, 5, 2, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 1, 5, 2, 3, 5, 4, 3, 2, 5, 5, 5, 5, 4, 4, 4, 3, 5, 3, 5, 4, 2, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 4, 4, 5, 3, 3, 3, 5], "2004": [3, 5, 5, 2, 4, 3, 4, 3, 3, 3, 3, 3, 5, 5, 3, 2, 3, 5, 5, 4, 3, 4, 5, 4, 2, 5, 3, 4, 3, 5, 3, 5, 3, 5, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 3, 5, 1, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 1, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 3, 2, 4, 4, 3, 3, 5, 4, 4, 5], "170": [5, 2, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 4, 3, 5, 2, 5, 3, 2, 5, 5, 5, 3, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4], "4075": [4, 5, 2, 4, 4, 4, 4, 4, 5, 2, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4], "1637": [3, 5, 5, 4, 4, 4, 1, 4, 4, 5, 5, 4, 3, 2, 4, 4, 3, 5, 3, 4, 1, 5, 4, 4, 4, 5, 3, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 5, 5, 4, 5, 4, 5, 3, 3, 3, 4, 5, 2, 5, 3], "4927": [3, 3, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 5], "2604": [4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 1, 4, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 5, 2, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5], "5533": [3, 5, 2, 4, 5, 4, 5, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 4], "4139": [4, 5, 2, 3, 5, 3, 3, 4, 3, 5, 3, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 1, 4, 4, 4, 3, 4, 5, 3, 4, 1, 3, 4, 2, 4, 4, 5, 2, 4, 3, 4, 2, 2, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 3, 3, 2, 5, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 2, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 1, 4, 4, 4, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 3, 4, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 2, 4, 2, 3, 2, 4, 3, 2, 3, 4, 3, 5, 5, 3, 5, 3, 4], "2678": [4, 5, 5, 4, 5, 5, 3, 2, 2, 3, 3, 5, 5, 5, 2, 4, 4, 3, 5, 4, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 3, 3, 5, 5, 5, 2, 2, 3, 3], "1275": [5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 4, 4, 5, 4], "1240": [2, 4, 3, 4, 1], "3989": [3, 2, 3, 5, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 2, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 4, 3, 5, 4, 5, 5, 5, 3, 5, 2, 5, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 5, 5, 4, 5, 3, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 3, 5, 4, 5, 1, 4, 2, 3, 1, 4, 5, 4, 3, 3, 5, 5, 3, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 2, 5, 4, 4, 5, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 3, 5, 5, 2, 3, 3, 4, 3, 2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5], "1919": [5, 3, 2, 3, 5, 5, 3, 1, 4, 3, 2, 2, 4, 3, 5, 5, 3, 5, 4, 4, 3, 2, 4, 5, 4, 3, 4, 5, 5, 2, 4, 4, 5, 3, 4, 4, 1], "1564": [5, 3, 4, 2, 4, 2, 2, 1, 5, 1, 4, 4, 3, 4, 4, 3, 1, 1, 3, 4, 3, 3, 3, 1, 1, 3, 1, 4, 3, 3, 1, 3, 4, 2, 5, 3, 4, 1, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 1, 3, 4, 1, 5, 3, 5, 3, 2, 2, 3, 3, 3, 1, 1, 3, 2, 2, 3, 4, 3, 1, 4, 2, 3, 3, 4, 3, 4, 2, 2, 4, 3, 3, 3, 3], "3920": [4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 2, 4, 5, 5, 4, 2], "6038": [4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 3, 2, 3, 3, 5], "1385": [4, 4, 5, 5, 4, 3, 3, 5, 3, 3, 4, 3, 3, 5, 3, 5, 4, 3], "1636": [2, 3, 4, 1, 5, 1, 5, 3, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 1, 2, 1, 5, 3, 3, 3, 4, 4, 3, 5, 2, 4, 4, 1, 4, 2, 4, 4, 3, 3, 5, 1, 3, 3, 3, 1, 4, 2, 1, 4, 5, 5, 3, 2, 3, 3, 1, 3, 3, 2, 4, 3, 3, 4, 2, 4, 3], "2081": [5, 4, 4, 3, 5, 4], "5274": [5, 3, 3, 3, 1, 1, 2, 5, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 3], "3406": [5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5], "2922": [5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5], "1770": [4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 4, 4, 5, 2, 3, 3, 2, 2, 4, 3, 3, 2, 3, 4, 3, 3, 1, 3, 2, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4], "1178": [5, 3, 4, 4, 1, 3, 4, 5, 4, 4, 2, 3, 3, 4, 4, 3, 4, 5, 5, 4, 4, 1, 4, 3, 5, 3, 3, 2, 4, 3, 4, 3, 3], "5399": [5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4], "2240": [4, 3, 4, 3, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 2, 3, 3, 5, 5, 4, 5, 5, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 3, 4, 5, 5], "4289": [5, 3, 3, 2, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 2, 5, 4, 5, 3, 5, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 2, 2, 2, 5, 4, 3, 4, 5, 3, 4, 5, 2, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 2, 2, 5, 4, 4, 5], "4219": [3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 3, 3, 4, 4, 3, 5, 5, 3, 2, 4, 5, 5, 2, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 5, 2, 4, 3, 3, 3, 3, 3, 5, 4, 2, 3, 5, 4, 4, 4, 3, 2, 5, 5, 4, 4, 2, 3, 5, 5, 3, 3, 4, 3, 4, 3, 4, 3, 2, 2, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 3], "841": [3, 5, 5, 4], "5931": [3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 3, 3, 4, 2, 5, 2, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 4, 4, 3, 3, 4, 4, 3, 5, 5, 3, 4, 5, 3, 2, 2, 3, 3, 4, 4, 4, 3, 5, 3, 3, 3, 5, 4, 3, 3], "5447": [5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 4, 5, 2, 5, 4, 4, 4, 5, 5, 1, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 3, 3, 5, 2, 4, 5, 5, 5], "351": [4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 2, 3, 3, 3, 5, 2, 4, 4, 3, 2, 4, 5, 4, 5, 4, 5, 4, 4, 1, 3, 3, 3, 4, 2, 2, 4, 2, 5, 5, 2, 4, 4, 4, 4, 4, 3, 3, 5, 2, 5, 4, 5, 5, 4, 4, 2, 5, 4, 2, 5, 5, 3, 3, 5, 5, 4, 5, 5, 4, 4, 2, 4, 2], "5026": [3, 3, 1, 1, 3, 4, 4, 3, 4, 4, 3, 3, 2, 4, 3, 2, 4, 3, 5, 4, 4, 4, 4, 4, 2, 2, 3, 2, 2, 4, 4, 1, 3, 4, 3, 1, 2, 4, 4, 1, 3, 4, 1, 4, 2, 3, 1, 4, 2, 5, 2, 1, 5, 4, 5, 4, 3, 4, 4, 1, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 1, 4, 4, 3, 4, 4, 3, 1, 1, 3, 3, 3, 4, 3, 2, 4, 4, 4, 2, 4, 5, 4, 4, 5, 2, 5, 4, 5, 4, 4, 1, 4, 1, 3, 3, 1, 3, 2, 3, 4, 1, 2, 3, 1, 3, 4, 3, 3, 4, 1, 1, 4, 4, 2, 3, 5, 4, 2, 2, 4, 2, 3, 4, 1, 2, 1, 1, 4, 4, 3, 2, 4, 2, 3, 4, 4, 3, 4, 3, 5, 3, 1, 4, 4, 3, 4, 4, 3, 4, 1, 3, 4, 4, 4, 1, 4, 3, 4, 1, 1, 4, 2, 4, 5, 3, 3, 4, 3, 2, 3, 1, 2, 4, 2, 2, 4, 3, 1, 2, 1, 4, 3, 2, 4, 4, 4, 1, 5, 4, 5, 4, 3, 2, 4, 4, 3, 3, 1, 3, 4, 4, 3, 3, 4, 2, 2, 3, 2, 2, 4, 1, 3, 2, 2, 4, 2, 5, 2, 4, 3, 3, 1, 2, 4, 2, 2, 4, 3, 3, 4, 5, 4, 1, 3, 2, 4, 4, 4, 4, 1, 5, 1, 3, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 2, 3, 3, 5, 4, 2, 5, 4, 4, 3, 2, 3, 2, 3, 2, 3, 3, 2, 4, 4, 3, 2, 2, 4, 4, 4, 2, 3, 4, 4, 1, 3, 1, 3, 4, 2, 1, 5, 3, 3, 3, 4, 5, 4, 3, 4, 3, 2, 3, 1, 4, 4, 2, 3, 3, 4, 3, 1, 4, 4, 3, 2, 4, 4, 1, 1, 4, 4, 4, 4, 4, 1, 4, 5, 4, 4, 4, 2, 4, 4, 3, 1, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 1, 4, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 4, 4, 3, 5, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 1, 4, 3, 4, 2, 2, 4, 2, 3, 3, 4, 1, 1, 3, 2, 3, 3, 2, 3, 1, 3, 3, 3, 4, 5, 2, 3, 3, 4, 5, 3, 2, 2, 3, 1, 3, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 2, 4, 1, 1, 3, 3, 1, 2, 3, 2, 3, 2, 4, 3, 3, 2, 1, 3, 4, 4, 2, 1, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 2, 2, 3, 3, 3, 2, 2, 3, 2, 4, 1, 4, 1, 3, 5, 2, 3, 3, 4, 4, 2, 1, 1, 3, 2, 3, 4, 3, 4, 2, 4, 5, 5, 4, 3, 5, 3, 2, 4, 3, 4, 3, 2, 3, 3, 4, 4, 2, 2, 4, 3, 3, 3, 4, 2, 1, 3, 1, 3, 3, 2, 4, 3, 5, 1, 3, 2, 4, 3, 4, 1, 3, 1, 3, 1, 4, 3, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 4, 3, 1, 1, 4, 4, 1, 3, 1, 5, 4, 1, 2, 3, 4, 3, 4, 4, 5, 2, 1, 3, 4, 2, 1, 4, 2, 4, 2, 5, 1, 2, 1, 2, 2, 2, 2, 2, 2, 4, 1, 3, 2, 3, 4, 1, 1, 1, 2, 1, 2, 4, 3, 4, 4, 4, 5, 4, 3, 2, 1, 2, 4, 4, 4, 4, 1, 4, 4, 4, 3, 2, 2, 3, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 5, 3, 4, 2, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 1, 2, 2, 4, 1, 3, 4, 1, 2, 3, 1, 3, 4, 2, 4, 4, 4, 3, 3, 1, 3, 1, 1, 3, 3, 4, 1, 5, 5], "955": [3, 3, 4, 5, 4, 3, 4, 3, 4, 1, 3, 1, 5, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 2, 5, 3, 3, 5, 4, 5, 2, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 3, 3, 4, 3, 3, 2, 1, 4, 4, 3, 3, 4, 3, 5, 4, 3, 3, 3, 5, 1, 4, 2, 3, 3, 4, 1, 4, 2, 1, 4, 3, 3, 3, 4, 3, 1, 4, 5, 3, 3, 4, 5, 3, 5, 3, 5, 5, 5, 3, 4, 4, 4, 2, 3, 4, 3, 2, 3, 4, 3, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 4, 3, 3, 5, 3, 3, 1, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 2, 2, 3, 1, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 2, 3, 3, 4, 4, 2, 3, 4, 4, 5, 5, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 2, 3, 1, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 2, 4, 2, 4, 3, 4, 2, 3, 3, 5, 1, 5, 4, 3, 4, 4, 4, 1, 3, 5, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 3, 3, 5, 4, 5, 3, 4, 2, 4, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 5, 5, 4, 2, 4, 5, 4, 5, 4, 2, 3, 5, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 4, 5, 5, 5, 2, 3, 3, 4, 4, 1, 4, 2, 3, 3, 3, 2, 5, 1, 4, 4, 4, 5, 2], "3801": [3, 5, 4, 5, 5, 4, 5, 5, 3, 2, 3, 3, 4, 5, 4, 2, 4, 4, 3, 2, 3, 4, 2, 2, 5, 5, 4, 2, 5, 3, 4, 5, 4, 2, 4, 4, 5, 3, 3, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 4, 3, 3, 5, 5, 3, 5, 2, 3, 3, 5, 2, 2, 5, 5, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 2, 5, 4, 3, 5, 5, 3], "5090": [5, 4, 1, 5, 5, 4, 5, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 1, 4, 5, 1, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 3, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 2, 3, 5, 5, 3, 3, 4, 5, 5, 4, 5, 4, 4, 1, 4, 5, 2, 3, 3, 2, 5, 5, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 3, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 3, 4, 5, 2, 3, 5, 3, 5, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 4, 3, 3, 2, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 2, 5, 5, 3, 5, 3, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 3, 4, 2, 5, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 2, 5, 4, 1, 5, 2, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 4, 1, 5, 5, 4, 3, 5, 5, 5, 5, 3, 5, 5, 3, 4, 3, 3, 4, 3, 5, 2, 4, 5, 5, 5, 3, 5, 5, 1, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 3, 5, 2, 5, 5, 5, 4, 5, 5, 5, 2, 3, 5, 3, 5, 4, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 2, 4, 4, 2, 2, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 2, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3], "19": [4, 4, 3, 3, 3, 4, 3, 5, 5, 4, 2, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 3, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 3, 4, 3, 5, 4, 4, 2, 2, 4, 1, 5, 3, 5, 3, 2, 5, 5, 4, 5, 4, 1, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 5, 2, 2, 4, 2, 3, 2, 4, 4, 1, 5, 3, 4, 4, 2, 3, 4, 2, 5, 3, 2, 3, 4, 3, 5, 3, 3, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 1, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 2, 3, 2, 4, 4, 1, 2, 5, 3, 5, 4, 3, 3, 3, 5, 4, 5, 3, 3, 4, 2, 4, 5, 5, 3, 2, 4, 4, 5, 4, 1, 2, 3, 4, 4, 4, 4, 2, 5, 5, 5, 4, 4, 1, 3, 4, 3, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 3, 2, 3, 4, 5, 3, 3, 3, 3, 2], "4368": [2, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 5, 5, 4, 2, 4, 5, 4, 5, 4, 5, 5, 5, 2, 3, 4, 3, 5, 2, 5, 3, 4, 3, 3, 4, 3, 5, 3, 3, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 3, 5, 2, 2, 2, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 2], "4887": [3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 5, 4, 3, 3, 4, 2, 4, 5, 5, 2, 5, 3, 2, 3, 4, 5, 5, 3, 3, 2, 4, 3, 4, 3, 4, 2, 2, 2, 3, 2, 3, 3, 3, 5, 3, 4, 5, 3, 4, 3, 4, 3, 3, 5, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 4, 4, 5, 5, 4, 3, 2, 3, 2, 2, 4, 3, 2, 3, 3, 3, 3, 3, 2, 4, 5, 4, 3, 3, 4, 3, 2, 2, 3, 4, 5, 3, 4, 4, 5, 2, 3, 4, 3, 2, 3, 5, 3, 3, 4, 2, 4, 2, 5, 5, 5, 4, 5, 3, 4, 3, 4, 3, 3, 3, 1, 3, 5, 5, 3, 5, 4, 4, 5, 3, 2, 3, 5, 4, 5, 2, 3, 5, 2, 3, 5, 4, 4, 4, 2, 5, 4, 3, 2, 3, 5, 3, 5, 3, 3, 5, 3, 3, 3, 4, 3, 3, 2, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 2, 2, 5, 2, 4, 4, 1, 4, 5, 3, 5, 4, 3, 4, 3, 1, 4, 2, 3, 2, 3, 5, 4, 4, 4, 3, 1, 2, 2, 4, 3, 4, 3, 2, 4, 3, 3, 4, 2, 2, 3, 5, 5, 4, 4, 2, 3, 2, 2, 2, 4, 3, 2, 1, 4, 4, 4, 2, 2, 3, 5, 2, 3, 4, 3, 4, 2, 1, 4, 4, 2, 4, 3, 2, 4, 5, 4, 4, 3, 3, 3, 3, 5, 3, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 2, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 4, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 2, 5, 2, 5, 4, 4, 3, 5, 3, 5, 5, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 1, 4, 2, 3, 3, 5, 5, 3, 3, 3, 4, 3, 3, 1, 3, 4, 2, 3, 3, 2, 4, 4, 3, 3], "1243": [3, 4, 3, 5, 2, 3, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 5, 4, 4, 2, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 2, 3, 2, 4, 3, 3, 4, 3, 4, 4, 5, 2, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 2, 3, 2, 3, 4, 3, 5, 4, 3, 4, 2, 3, 3, 2, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 5, 3, 4, 3, 4, 3, 4, 2, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 5, 5, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 3], "4107": [5, 5, 2, 2, 3, 5, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 3, 3, 4, 4, 5, 4, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 3, 3, 3, 4, 5, 2, 5, 4, 2, 4, 2, 3, 1, 2, 3, 4, 2, 5, 3, 4, 3, 1, 5, 5, 1, 5, 4, 3, 2, 4, 5, 4, 5, 1, 5, 4, 3, 5, 5, 3, 3, 4, 2, 5, 5, 4, 5, 3, 3, 5, 4, 5, 5, 4, 5, 5, 4, 2, 4, 5, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 3, 5, 5, 4, 3, 4, 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 4, 2, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 1, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 3, 1, 2, 5, 4, 5, 5, 5, 5, 2, 4, 3, 5, 5, 3, 3, 4, 4, 3, 4, 2, 4, 4, 3, 5, 4, 5, 4, 2, 3, 4, 5, 3, 5, 5, 5, 3, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 2, 4, 3, 4, 5, 5, 5, 3, 3, 5, 5, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 2, 2, 4, 5, 4, 4, 1, 4, 5, 4, 5, 4, 5, 2, 2, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 2, 5, 5, 3], "1513": [4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 2, 3, 3, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 5, 5, 3, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 2, 5, 4, 4, 4, 4, 4], "1823": [5, 3, 5, 4, 2, 3, 4, 3, 5, 4, 5, 5, 5, 5, 5, 2, 5, 3, 5], "532": [5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 2, 4, 3, 4, 3, 3, 5, 1, 1, 2, 4, 4, 5, 4, 5, 4, 5, 2, 4, 4, 5], "2782": [1, 4, 3, 3, 3, 4, 4, 4, 4, 3, 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 2, 4, 5, 3, 4, 3, 4, 5, 3, 4, 3, 3, 5, 3], "760": [5, 5, 5, 4, 5, 1, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 2, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5], "753": [4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 2, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4], "349": [3, 5, 3, 3, 3, 4, 5, 4, 2, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 2, 3, 4, 4, 3, 2, 3, 3, 5, 2, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 5, 2, 3, 3, 4, 4, 4, 4, 4, 2, 3, 4, 3, 5, 3, 3, 3, 4, 5, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 4, 5, 4, 4, 3, 2, 3, 3, 3, 5, 2, 3, 3, 3, 3, 3, 3, 2, 1, 4, 2, 2, 3, 3, 3, 5, 4, 2, 3, 3, 2, 5, 3, 3, 5, 4, 5, 2, 3, 3, 3, 4, 3, 4, 3, 5, 4, 5, 4, 3, 5, 2, 4, 4, 3, 4, 3, 3, 5, 5, 3, 5, 5, 4, 3, 3, 3, 5, 4, 3, 2, 2, 3, 3, 3, 5, 4, 4, 3, 5, 3, 2, 3, 3, 2, 5, 5, 4, 3, 3, 5, 3, 3, 2, 2, 4, 5, 4, 5, 4, 2, 4, 3, 5, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 3], "5849": [3, 5, 2, 1, 2, 5, 5, 5, 5, 5, 5, 2, 5, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 5, 5, 5, 3, 2, 3, 4, 5, 3, 5, 4], "2012": [5, 4, 2, 2, 2, 3, 3, 3, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 2, 3, 2, 3, 3, 4, 3, 4, 2, 3, 4, 1, 4, 3, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 3, 1, 3, 3, 2, 4, 4, 3, 4, 3, 2, 4, 2, 4, 4, 4, 2, 3, 3, 3, 4, 2, 3, 4, 3, 5, 3, 1, 2, 3, 3, 5, 3, 3, 1, 4, 3, 1, 3, 2, 3, 1, 3, 3, 5, 3, 3, 3, 2, 1, 3, 1, 3, 3, 1, 5, 4, 4, 3, 3, 2, 3, 4, 1, 3, 3, 3, 3, 3, 1, 2, 2, 3, 1, 2, 3, 2, 4, 2, 3, 1, 3, 3, 2, 3, 3, 2, 2, 3, 4, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 1, 2, 3, 4, 3, 2, 4, 3, 3, 2, 3, 1, 3, 3, 3, 2, 3, 1, 3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 2, 5, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 4, 3, 1, 4, 3, 3, 1, 3, 4, 2, 3, 2, 1, 3, 3, 4, 4, 3, 3, 2, 3, 1, 4, 2, 3, 4, 3, 3, 4, 2, 4, 3, 2, 1, 4, 3, 3, 3, 1, 3, 4, 4, 4, 1, 2, 3, 2, 4, 2, 3, 5, 2, 1, 1, 5, 3, 3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 1, 3, 5, 5, 5, 3, 3, 2, 2, 3, 1, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 1, 3, 1, 3, 1, 2, 2, 3, 3, 3, 2, 3, 4, 2, 5, 3, 4, 4, 2, 3, 2, 3, 3, 2, 3, 3, 4, 1, 4, 3, 3, 3, 4, 4, 2, 3, 1, 1, 4, 1, 2, 3, 2, 3, 2, 4, 3, 3, 1, 3, 3, 2, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 2, 3, 4, 5, 2, 1, 1, 1, 3, 2, 3, 1, 4, 3, 1, 3, 5, 3, 2, 2, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 2, 3, 3, 2, 1, 3, 2, 4, 3, 2, 4, 3, 2, 3, 1, 1, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 1, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 5, 3, 3, 2, 1, 4, 1, 3, 4, 2, 4, 3, 4, 3, 4, 3, 1, 3, 2, 1, 3, 3, 2, 3, 4, 3, 3, 4, 2, 3, 2, 3, 1, 3, 2, 3, 5, 3, 3, 4, 4, 3, 3, 3, 5, 5, 3, 3, 4, 3, 1, 3, 2, 1, 3, 3, 3, 4, 2, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 2, 3, 4, 4, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 4, 2, 3, 4, 3, 1, 4, 4, 3, 2], "2739": [4, 5, 4, 3, 4, 3, 3, 3, 5, 2, 5, 3, 5, 3, 4, 3], "2273": [3, 5, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 2, 3, 4, 5, 4, 2, 3, 3, 4, 3, 4, 3, 5, 3, 2, 4, 3, 4, 2, 2, 4, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4], "5972": [4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 1, 3, 4, 2, 4, 4, 4, 4, 5, 5, 2, 4, 2, 4, 4, 3, 3, 2, 5, 5, 5, 5, 2, 4, 4, 4, 3, 5, 5, 4, 3, 4, 2, 4, 3, 3, 2, 5, 4, 3, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 1, 5, 5, 3, 4, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 3, 5, 3, 4, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 2, 4, 4, 2, 5, 5, 4, 4, 4, 5, 1, 4, 4, 5, 5, 3, 5, 3, 5, 4, 3, 3, 1, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 2, 3, 3, 5, 4, 4, 4, 4, 3, 2, 4, 3, 5, 3, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 2, 4, 5, 3, 5, 2, 4, 4, 4, 5, 1, 3, 4, 3, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 4, 5, 3, 3, 1, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3], "4613": [5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 2, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 3, 4, 4, 5, 4, 1, 4, 4, 4, 4, 3, 4, 5, 3, 5, 3, 4, 4, 5, 5, 5, 4, 1, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 3, 5], "4595": [5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5], "1101": [2, 3, 4, 3, 3, 5, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 1, 5, 3, 2, 3, 4, 4, 3, 3, 5, 3, 5, 5, 5, 4, 4, 3, 5, 2, 4, 5, 3, 4, 4, 2, 5, 5, 4, 4, 4, 3, 5, 4, 2, 4, 5, 4, 4, 3, 3, 4, 2, 4, 1, 3, 3, 2, 3, 4, 4, 2, 1, 1, 1, 4, 3, 2, 4, 3, 3, 3, 5, 5, 1, 3, 4, 3, 4, 4, 5, 3, 4, 5, 3, 1, 4, 3, 4, 2, 4, 4, 3, 1, 2, 4, 3, 3, 1, 2, 5, 4, 5, 3, 5, 4, 1, 1, 1, 4, 4, 5, 4, 1, 4, 2, 5, 3, 2, 4, 1, 1, 5, 4, 3, 4, 3, 2, 1, 3, 2, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 1, 4, 5, 4, 3, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 2, 5, 4, 3, 1, 3, 1, 5, 3, 3, 1, 4, 2, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 2, 3, 4, 2, 2, 1, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 2, 3, 4, 5, 4, 4, 1, 5, 4, 3, 4, 5, 2, 4, 2, 5, 1, 2, 4, 1, 2, 3, 1, 2, 3, 4, 1, 5, 4, 4, 5, 4, 3, 2, 2, 3, 2, 3, 2, 3, 5, 4, 4, 4, 3, 2, 4, 4, 3, 2, 3, 4, 3, 2, 2, 1, 3, 4, 4, 3, 3, 4, 5, 5, 2, 3, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 3, 1, 2, 4, 4, 2, 4, 4, 3, 4, 5, 3, 3, 5, 5, 3, 5, 2, 5, 4, 3, 4, 5, 2, 3, 4, 1, 3, 5, 3, 3, 4, 3, 5, 5, 3, 3, 5, 1, 2, 4, 4, 3, 1, 3, 3, 2, 4, 3, 3, 4, 3, 2, 3, 4, 3, 1, 3, 5, 4, 4, 2, 2, 4, 2, 2, 1, 4, 1, 4, 4, 5, 5, 5, 4, 4, 2, 2, 2, 3, 5, 4, 5, 5, 2, 5, 5, 4, 4, 5, 2, 5, 4, 1, 4, 5, 4, 5, 5, 4, 1, 2, 2, 4, 5, 1, 5, 1], "1661": [4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 4, 5, 3, 5, 4, 3, 4, 3, 5, 5, 3, 3, 4, 5, 4, 5, 4, 4], "5835": [4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5], "5348": [2, 4, 5, 4, 5, 5, 5, 4, 2, 2, 3, 5, 4, 4, 2, 4, 4, 3, 4, 3, 2, 4, 4, 5, 3, 5, 2, 4, 3, 1, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 4, 3, 3, 4, 4, 4], "5431": [3, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 5, 2, 4, 5, 5, 5, 4, 5, 4, 3, 3, 3, 3, 3, 5, 5, 3, 4, 5, 5, 2, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 5, 4], "2995": [4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 2, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 5, 1, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 1, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 5, 2, 5, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 3, 2, 4, 4, 5, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 2, 3, 4, 4, 2, 4, 4, 3, 4, 4, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 2, 5, 4, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 5, 3, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 3], "5503": [2, 5, 5, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 3, 4, 3, 4, 4, 5, 5, 5, 3, 2], "319": [4, 3, 4, 2, 4, 3, 1, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 1, 3, 3, 4, 3, 5, 4, 3, 4, 4, 3, 3, 5, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 2, 2, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 1, 4, 1, 5, 3, 5, 3, 4, 1, 3, 4, 4, 2, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 1, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 5, 3, 5, 3, 3, 4, 3, 3, 3, 3, 5, 3, 1, 4, 3, 4, 1, 3, 3, 1, 4, 4, 3, 2, 5, 3, 4, 4, 2, 2, 3, 4, 4, 2, 3, 4, 3, 4, 4, 4, 5, 3, 5, 2, 5, 3, 3, 4, 4, 4, 3, 3, 4, 3, 1, 4, 2, 3, 3, 3, 3, 5, 4, 2, 3, 3, 4, 4, 2, 4, 3, 1, 2, 4, 5, 4, 3, 1, 5, 4, 3, 3, 5, 3, 4, 3, 3, 1, 3, 2, 1, 1, 5, 4, 3, 3, 3, 2, 4, 5, 3, 2, 4, 3, 2, 3, 2, 1, 4, 2, 3, 3, 1, 1, 3, 2, 1, 3, 5, 3, 3, 2, 2, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 4, 3, 4, 2, 4, 2, 3, 3, 5, 4, 2, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 4, 4, 5, 2, 5, 2, 3, 2, 4, 3, 4, 4, 2, 4, 2, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 3, 3, 4, 3, 2, 4, 5, 1, 3, 3, 1, 5, 3, 4, 3, 3, 5, 1, 4, 4, 3, 1, 3, 5, 5, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 1, 4, 3, 4, 1, 4, 2, 3, 4, 3, 3, 5, 4, 3, 4, 2, 4, 1, 4, 4, 3, 1, 2, 3, 2, 3, 4, 4, 2, 4, 2, 4, 2, 4, 3, 3, 4, 3, 2, 4, 2, 4, 4, 3, 3, 1, 3, 1, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 1, 4, 1, 3, 4, 5, 2, 4, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 5, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 2, 4, 2, 4, 3, 4, 4, 2, 3, 3, 5, 3, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 2, 2, 4, 5, 3, 3, 2, 3, 4, 3, 2, 1, 3, 3, 4, 3, 4, 3, 3, 3, 1, 4, 3, 4, 3, 4, 5, 2, 3, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 5, 2, 4, 4, 2, 4, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 2, 5, 4, 3, 5, 3, 5, 3, 3, 4, 4, 4, 3, 5, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4], "1102": [1, 1, 1, 4, 1, 1, 5, 1, 5, 1, 1, 5, 1, 1, 1, 5, 1, 1, 5, 4, 1, 5, 1], "5158": [4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 2, 5, 4, 3, 2, 3, 5, 3, 3, 3, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 1, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 1, 3, 4, 3, 3, 3, 1, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 4, 3, 5, 5, 3, 3, 5, 4, 5, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 2], "1210": [5, 5, 4, 5, 2, 5, 3, 4, 3, 5, 2, 2, 4, 2, 4, 5, 5, 5, 3, 4, 4, 5, 5, 2, 4, 4, 3, 5, 3, 2, 4, 4, 4, 5, 5, 4], "1316": [3, 3, 4, 4, 4, 4, 2, 3, 5, 3, 4, 3, 3, 4, 3, 5, 4, 2, 2, 4, 5], "2471": [2, 4, 3, 4, 4, 5, 5, 3, 5, 5, 2, 3, 1, 4, 3, 2, 5, 4, 2, 1, 1, 1, 3, 4, 3, 3, 5, 2, 2, 2, 3], "1420": [3, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 2, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 4, 3, 5, 3, 3, 5, 5, 3, 2, 5, 3, 4, 5, 4, 3, 4, 4, 3, 5, 4, 2, 4, 4, 4, 2, 4, 2, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 2, 4, 4, 4, 5, 3, 5, 3, 3, 4, 4, 4, 4, 2, 3, 2, 5, 3, 4, 3, 3, 5, 3, 5, 4, 2, 5, 4, 3, 4, 3, 3, 3, 5, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 3, 2, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 5, 5, 5, 3, 2, 5, 4, 2, 3, 4, 2, 5, 3, 4, 4, 3, 3, 5, 4, 1, 4, 3, 2, 5, 5, 4, 3, 3, 4, 3, 3, 2, 4, 4, 3, 4, 3, 5, 3, 5, 5, 2, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 3, 3, 4, 3, 3, 2, 4, 4, 5, 3, 3, 3, 5, 4, 5, 3, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 2, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5], "3420": [4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 3, 4, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 2, 4, 5, 5, 5, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 2, 5, 4, 4, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 5, 5, 5, 4, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5], "5549": [1, 4, 4, 2, 5, 1, 4, 2, 1, 4, 5, 4, 4, 4, 4, 5, 5, 5, 1, 5, 4, 4, 5, 4, 5], "4807": [5, 4, 5, 4, 4, 1, 3, 5, 4, 4, 1, 5, 4, 3, 4, 3, 5, 5, 4, 3, 5, 2, 4, 2, 4, 4, 3, 5, 2, 1, 3, 3, 3, 4, 5, 2, 4, 1, 4, 5, 4, 5, 4, 4, 3, 5, 2, 3, 5, 4, 2, 5, 4, 4, 5, 2, 5, 4, 1, 3, 4, 1, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 1, 4, 4, 4, 2, 5, 5, 5, 4, 5], "189": [4, 5, 4, 1, 5, 4, 5, 5, 5, 3, 5, 2, 3, 4, 5, 4, 5], "5979": [2, 4, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 4, 2, 4, 2, 5, 5, 5, 3, 3, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4], "2103": [4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 2, 5, 2, 4], "4109": [5, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 2, 1, 1, 4, 5, 4, 4, 3, 5, 5, 3, 5], "5953": [4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 2, 4, 4, 5, 3, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 4, 3, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 2, 5, 5, 2, 4], "4111": [3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 3, 3, 3, 4, 4, 4, 5, 2, 2, 5, 3, 4, 3, 4, 2, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 1, 3, 4], "4291": [5, 5, 4, 5, 3, 3, 1, 3, 4, 4, 5, 3, 2, 1, 3, 3, 4, 1, 3, 5, 3, 2, 3, 5, 4, 5, 5, 3, 3, 3, 5, 4, 3, 3, 5, 2, 4, 5, 5, 5, 5, 2, 4, 4, 5, 5, 5, 5, 3, 1, 2, 3, 5, 3, 5, 3, 3, 3, 3, 1, 1, 3, 1, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 3, 4, 5, 3, 3, 5, 1, 3, 5, 3, 5, 5, 3, 5, 4, 5, 5, 3, 3, 5, 4, 4, 5, 2, 5, 1, 3, 3, 3, 4, 1, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 2, 5, 3, 4, 3, 1, 5, 3, 3, 3, 3, 4, 4, 4, 1, 4, 1, 5, 5, 3, 4, 5, 3, 2, 3, 2, 5, 5, 4, 3, 3, 2, 5, 1, 2, 3, 3, 3, 3, 3, 5, 3, 3, 5, 2, 5, 5, 1, 5, 3, 3, 4, 3, 5, 5, 5, 5, 3, 1, 2, 2, 4, 3, 3, 3, 5], "4589": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5], "3719": [5, 5, 3, 5, 5, 5, 3, 3, 4, 4, 3, 5], "2364": [4, 4, 5, 2, 5, 5, 5, 3, 3, 5, 5, 4, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5], "6008": [2, 4, 4, 1, 4, 1, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 5, 4, 3, 3, 4, 3], "430": [4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 3, 1, 5, 5, 3, 1, 5, 4, 5, 5, 1, 5, 3, 5, 1, 5, 1, 5, 4, 4, 5, 4, 2, 5, 5, 3, 5, 4, 4, 5, 5, 3, 3, 4, 2, 3], "1504": [4, 4, 3, 5, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 4, 3, 5, 2, 5, 3, 3, 3, 4, 4, 4, 5, 3, 3, 5, 3, 3], "923": [4, 3, 3, 2, 3, 4, 4, 3, 5, 2, 4, 3, 4, 3, 5, 5, 3, 5, 3, 4, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4], "745": [3, 2, 3, 5], "6000": [2, 2, 2, 2, 1, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 5, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 5, 4, 3, 3, 3, 3, 3, 2, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 2, 2, 2, 5, 5, 4, 3, 3, 3, 3, 5, 3, 4, 2, 3, 2, 3, 5, 2, 2, 1, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 5, 3, 1, 5, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 2, 2, 4, 3, 2, 3, 4, 4, 5, 3, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 4, 4, 3, 5, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 2, 4, 3, 3, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 2, 4, 4, 3, 3, 2, 4, 1, 5, 3, 3, 4, 4, 4, 3, 3, 2, 5, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 2, 5, 3, 5, 3, 3, 4, 3, 2, 5, 5, 4, 5, 4, 3, 3, 4, 5, 3, 4, 1, 3, 4, 4, 5, 3, 5, 4, 5, 3, 4, 2, 2, 4, 3, 4, 3, 4, 4, 5, 2, 4, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 5, 4, 2, 3, 4, 2, 4, 3, 4, 4, 4, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 5, 4, 3, 2, 2, 5, 3, 3, 3, 3, 5, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 2, 3, 3, 4, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 2, 3, 5, 4, 3, 5, 3, 3, 4, 3, 3, 4, 2, 1, 2, 3, 3, 4, 3, 3, 1, 3, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 5, 3, 4, 3, 2, 3, 4, 4, 4, 2, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 5], "2537": [4, 4, 3, 2, 1, 2, 4, 1, 3, 5, 4, 3, 5, 3, 3, 3, 3, 3, 4, 2, 2, 2, 4, 4, 1, 4, 3, 5, 4, 4, 5, 4, 5, 3, 2, 3, 1, 4, 2, 2, 2, 5, 4, 5, 4, 3, 2, 5, 4, 3, 3, 3, 2, 3, 3, 4, 5, 1, 4, 4, 1, 4, 4, 4, 3, 4, 4, 1, 2, 5, 3, 3, 3, 1, 1, 1, 1, 4, 1, 3, 4, 2, 1, 4, 2, 4, 2, 4, 2, 3, 3, 2, 2, 3, 5, 2, 3, 4, 4, 3, 4, 3, 1, 1, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 1, 3, 4, 1, 4, 2, 3, 5, 5, 3, 3, 4, 5, 5, 5, 1, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 1, 4, 3, 3, 3, 1, 2, 3, 2, 1, 4, 2, 5, 2, 4, 4, 3, 1, 3, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 1, 2, 2, 4, 2, 1, 3, 1, 2, 3, 3, 3, 1, 3, 3, 1, 4, 5, 3, 4, 1, 3, 3, 1, 3, 3, 2, 4, 2, 4, 2, 4, 1, 4, 4, 2, 4, 5, 1, 2, 3, 5, 1, 4, 4, 1, 1, 3, 1, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 3, 2, 1, 3, 4, 1, 4, 2, 3, 4, 4, 3, 5, 4, 3, 1, 2, 3, 4, 2, 3, 1, 4, 3, 4, 3, 2, 3, 3, 1, 3, 4, 3, 5, 5, 2, 2, 3, 4, 1, 4, 2, 3, 2, 2, 4, 3, 4, 3, 4, 4, 2, 1, 2, 2, 1, 1, 5, 4, 5, 4, 3, 4, 2, 4, 4, 2, 2, 1, 5, 3, 4, 3, 3, 4, 3, 4, 1, 4, 3, 3, 3, 4, 1, 4, 2, 3, 1, 3, 1, 3, 4, 3, 5, 1, 3, 1, 2, 2, 2, 4, 1, 4, 2, 4, 4, 3, 3, 1, 4, 5, 1, 5, 3, 1, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 3, 4, 3, 3, 5, 4, 3, 1, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 5, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 1, 2, 5, 2, 1, 2, 1, 4, 1, 2, 1, 4, 4, 2, 4, 3, 1, 5, 4, 4, 3, 2, 5, 4, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 1, 4, 5, 3, 4, 3, 5, 5, 3, 2, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 1, 3, 3, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 4, 4, 2, 4, 4, 4, 3, 3], "4370": [4, 4, 5, 5, 4, 4, 3, 4, 4, 1, 4, 5, 3, 4, 2, 5, 4, 3, 1, 4, 5, 5, 5, 5, 4, 4, 2, 5, 2, 2, 3, 4, 3, 3, 3, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5], "4552": [5, 5, 2, 2, 4, 4, 4, 2, 2, 1, 5, 2, 3, 5, 5, 3, 5, 3, 4, 1, 3, 4, 5, 3, 3, 3, 2, 3, 5, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 2, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 2, 2, 3, 3, 3, 4, 2, 5, 2, 4], "2332": [5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 3, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 5, 2, 5, 3, 5, 4, 4, 4, 4, 5], "5966": [2, 4, 4, 5, 4, 4, 3, 3, 2, 4, 5, 1, 4, 2, 2, 3, 5, 4, 4, 4, 5, 2, 4, 4, 1, 3, 4, 3, 4, 2, 1, 4, 2, 3, 3, 3, 5, 2, 3, 3, 2, 3, 2, 3, 4, 2, 4, 3, 4, 4, 3, 5, 1, 5], "2303": [4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 2, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5], "4817": [3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 4, 3, 5, 4, 5, 2], "1162": [3, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 3, 1, 3, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4], "3351": [5, 4, 3, 3, 4, 3, 4, 5, 4, 5], "4586": [5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4], "2576": [1, 2, 3, 3, 3, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 5, 3, 4, 5, 3, 4, 3, 1, 4, 3, 4, 1, 3, 3, 4, 4, 4, 4, 3, 2, 1, 1, 2, 4, 4, 1, 3, 3, 4, 4, 2, 3, 3, 5, 2, 3, 4, 3, 3, 2, 3, 1, 4, 3, 1, 4, 4, 2, 3, 3, 2, 3, 3, 5, 4, 3, 4, 4, 5, 4, 3, 2, 4, 4, 2, 3, 3, 3, 1, 4, 2, 1, 4, 1, 2, 3, 3, 1, 4, 5, 5, 4, 4, 3, 3, 3, 1, 3, 2, 4, 1, 4, 2, 3, 3, 3, 2, 3, 5, 3, 4, 3, 3, 4, 5, 5, 1, 4, 1, 3, 1, 1, 3, 3, 1, 4, 4, 2, 4, 4, 4, 3, 4, 2, 3, 2, 1, 1, 3, 1, 4, 2, 1, 3, 3, 2, 4, 3, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 5, 3, 3, 2, 4, 4, 1, 4, 1, 3, 3, 2, 2, 1, 3, 4, 5, 3, 4, 3, 2, 1, 3, 3, 2, 4, 4, 1, 4, 4, 3, 5, 4, 4, 1, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 5, 3, 4, 2, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 1], "3289": [4, 3, 5, 4, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 2, 1, 2, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5], "5246": [5, 3, 4, 3, 5, 5, 5, 3, 5, 5, 3, 3, 1, 5, 1, 5, 3, 3, 4, 4, 5, 5, 5, 2, 5, 5, 5, 3, 1, 5, 5, 3, 3, 5, 1, 4, 5, 5, 5, 4, 5, 5, 3, 3, 5, 4, 5, 4, 5, 5], "135": [5, 5, 1, 4, 5, 5, 3, 5, 3, 3, 5, 5, 5, 5], "5460": [4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 1, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5], "3938": [4, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4], "151": [5, 5, 3, 3, 4, 5, 3, 2, 4, 3, 2, 4, 4, 4, 5, 2, 4, 2, 3, 2, 4, 1, 4, 5, 4, 4, 5, 3, 2, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 5, 3, 3, 3, 5, 4, 3, 4, 4, 2, 4, 4, 4, 5, 2, 2, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 2, 4, 5, 4, 5, 4, 4, 3, 3, 4, 1, 3, 4, 4, 4, 4, 5, 3, 3, 5, 3, 4, 1, 4, 4, 5, 4, 3, 5, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 3, 5, 4, 4, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 2, 5, 2, 3, 4, 2, 5, 4, 3, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 2, 3, 2, 5, 3, 4, 3, 3, 4, 3, 2, 4, 4, 3, 2, 5, 2, 3, 2, 1, 3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 4, 5, 2, 3, 3, 5, 3, 4, 5, 5, 1, 3, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4, 5, 2, 3, 3, 3, 4, 4, 4, 2, 5, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 3, 5, 5, 4, 3, 5, 2, 1, 4, 5, 5, 5, 3, 2, 4, 4, 2, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 5, 5, 3, 4, 5, 5, 4, 5, 2, 5, 4, 3, 3, 3, 3, 3, 3, 5, 4, 1, 4, 4, 4, 3, 1, 5, 4, 3, 4, 5, 5, 1, 5, 5, 3, 3, 3, 5, 4, 3, 2, 4, 5, 3, 3, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 3, 3, 4, 5, 4, 5, 3, 5, 4], "2151": [3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 1, 4, 2, 4, 4, 1, 1, 2, 4, 5, 1, 2, 3, 3, 5, 1, 1, 5, 4, 4, 5, 1, 1, 5, 5], "89": [1, 1, 5, 5, 5, 4, 4, 4, 1, 1, 1, 5, 3, 5, 1, 4, 1], "285": [3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 5, 3, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 1, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 3, 3, 5, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 3, 5, 5, 1, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5], "5056": [5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5], "1825": [3, 3, 4, 2, 5, 3, 3, 5, 3, 5, 3, 3, 3, 2, 1, 3, 2, 4, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 2, 3, 1, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 4, 2, 2, 4, 2, 3, 4, 5, 5, 3, 3, 4, 3, 2, 4, 5, 4, 5, 5, 3, 3, 5, 4, 3, 3, 4, 2, 4, 5, 4, 4, 4, 5, 3, 1, 4, 2, 4, 4, 4, 3, 4, 3, 5, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 5, 3, 4, 4, 4, 1, 4, 5, 3, 3, 5, 5], "1544": [4, 4, 5, 5, 4, 4, 3, 5, 4, 2, 2, 5, 3, 4, 4, 5, 5, 4, 5, 3, 4, 5, 3, 5, 5, 2, 4, 5, 2, 5, 4, 5, 5, 3, 4, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4], "2643": [3, 2, 3, 4, 5, 4, 5, 4, 3, 3, 4, 4, 3, 4, 2, 4, 5, 3, 4, 5, 3, 2, 5, 3, 4, 4, 2, 3, 4, 4, 5, 4, 2, 5, 5, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 5, 5, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 3, 5, 3, 4, 2, 3, 3, 4, 3, 3, 2, 2, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 3, 4, 3, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 2, 4, 3, 2, 4, 2, 5, 4, 3, 3, 3, 4, 3, 5, 2, 5, 4, 2, 4, 5, 3, 5, 4, 3, 2, 4, 3, 4, 3, 5, 4, 2, 4, 2, 3, 3, 3, 5, 3, 5, 3, 2, 2, 4, 1, 3, 3, 4, 3, 3, 3, 3, 5, 4, 2, 3, 5, 3, 3, 2, 3, 2, 3, 3, 2, 2, 5, 3, 4, 2, 2, 4, 3, 3, 4, 4, 5, 3, 2, 4, 5, 4, 5, 3, 3, 3, 4, 2, 5, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 3, 5, 5, 2, 4, 4, 2, 3, 5, 3, 2, 3, 2, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 1, 4, 4, 3, 3, 3, 3, 5, 2, 4, 2, 3, 2, 4, 4, 3, 2, 5, 5, 5, 3, 4, 5, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 5, 2, 3, 4, 5, 4, 2, 4, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 2, 3, 3, 2, 4, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 2, 4, 2, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 2, 4, 4, 5, 5, 3, 4, 4, 3, 2, 4, 4, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 2, 2, 5, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5], "1007": [4, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 3, 4, 3, 4], "4903": [5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 3, 4, 2, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 2, 3], "2463": [3, 4, 4, 4, 3, 5, 4, 1, 4, 4, 2, 4, 5, 2, 3, 4, 3, 4, 3, 1, 4, 3, 3, 2, 2, 3, 3, 3, 2, 3, 1, 3, 1, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 1, 1, 5, 1, 5, 4, 5, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 2, 3, 5, 4, 4, 1, 2, 2, 4, 2, 2, 3, 3, 1, 4, 1, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 2, 3, 4, 4, 4, 4, 3, 3], "5091": [4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 3, 4, 4, 5, 3, 3, 5, 5, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 3, 5, 5, 3, 4, 3, 5, 4, 2, 3, 3, 4, 4, 3, 2, 2, 2, 5, 2, 2, 3, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4, 3, 4, 1, 2, 2, 5, 5, 4, 4, 3, 4, 4, 1, 4, 4, 4, 5, 4, 3, 2, 3, 3, 1, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 5, 5, 4, 3, 4, 3, 3, 5, 4, 2, 3, 3, 3, 5, 4, 4, 4, 5, 4, 2, 3, 5, 3, 4, 5, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 2, 2, 4, 3, 5, 5, 3, 4, 3, 4, 5, 5, 4, 4, 5, 2, 3, 5, 4, 3, 3, 1, 3, 3, 4, 2, 5, 5, 3, 5, 2, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 5, 4, 3, 5, 5, 5, 5, 4, 3, 3, 5, 3, 3, 4, 4, 5, 5, 2, 5, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 4, 2, 4, 5, 5, 4, 4, 4, 4, 2, 5, 3, 5], "3072": [4, 1, 5, 3, 2, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 4, 5, 1, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 2, 3, 4, 4, 3, 3, 4, 5, 5, 2, 4, 3, 4, 4, 3, 4, 3, 1, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 5, 3, 4, 1, 2, 3, 4, 3, 4, 1, 4, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 3, 2, 3, 3, 5, 3, 3, 3, 5, 5, 3, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 3, 4, 4, 3, 3, 5, 2, 3, 2, 3, 4, 3, 3, 1, 2, 5, 3, 3, 3, 2, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 1, 3, 2, 3, 2, 2, 3, 3, 4, 4, 1, 4, 3, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 2, 4, 4, 5, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 5, 3, 4, 4, 4, 5], "3321": [5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 2, 4, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 3, 5, 5, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 2, 3, 5, 4, 3, 4, 4, 5, 4, 5, 1, 5, 5, 5, 4, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 2, 5, 4], "4072": [4, 5, 3, 4, 3, 2, 5, 5, 4, 5, 4, 2, 4, 3, 4, 5, 4, 4, 5, 5, 4, 5, 2, 2, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 2, 4, 5, 3, 5, 5, 1, 4, 4, 2, 4, 4, 5, 5, 3, 5, 4, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 5, 4, 3, 1, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 1, 5, 4, 1, 4, 4, 5, 4, 4, 4, 3, 5, 1, 4, 2, 4, 2, 3, 5, 4, 4, 4, 3, 2, 3, 4, 4, 4, 5, 2, 4, 4, 3, 2, 2, 4, 4, 4, 4, 3, 1, 5, 2, 3, 5, 4, 4, 2, 3, 5, 4, 2, 2, 4, 4, 2, 3, 3, 2, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 5, 5, 5, 5, 4, 4, 1, 3, 3, 4, 3, 5, 3, 4, 3, 4, 3, 5, 2, 5, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 4, 4, 5, 3, 2, 5, 1, 1, 3, 5, 2, 4, 5, 5, 4, 4, 4, 3, 4], "5986": [4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 2, 5, 3, 5, 5, 5, 4], "2052": [3, 3, 4, 3, 2, 2], "5415": [4, 3, 2, 2, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 2, 2, 5, 4, 5, 4], "2065": [4, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5], "3132": [4, 4, 4, 2], "91": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5], "1510": [5, 5, 3, 1, 4, 5, 5, 3, 4, 3, 4, 4, 2, 4, 5, 4, 1, 4, 3, 3, 5, 5, 3, 4, 3, 1, 2, 3, 3, 5, 3], "4280": [5, 3, 4, 5, 4, 3, 4, 3, 4, 3, 2, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 3, 4], "2219": [4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 5, 3, 4, 3, 3, 5, 4, 4, 2, 4, 4, 4, 3, 3, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4, 5, 1, 3, 4, 1, 4, 5, 2, 2, 5, 4, 5, 4, 4, 5, 4, 5, 5, 3, 3, 5, 2, 5, 4, 4, 2, 4, 5, 3, 5, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 1, 4, 5, 2, 5, 4, 3, 4, 2, 5, 1, 3, 2, 3, 4, 3, 3, 5, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 5, 2, 4, 3, 2, 5, 3, 3, 3, 3, 3, 5, 5, 3, 5, 4, 5, 3, 3, 4, 3, 2, 1, 3, 2, 5, 1, 3, 5, 4, 5, 3, 1, 5, 3, 2, 5, 5, 4, 3, 2, 4, 3, 3, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5], "3254": [4, 5, 3, 3, 4, 4, 2, 2, 4, 1, 3, 4, 5, 4, 2, 4, 3, 4, 3, 4], "2586": [3, 5, 5, 4, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 3, 2, 3, 5, 5, 3, 5, 3, 5, 4, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 4, 2, 5, 4, 4], "2048": [5, 5, 3, 4, 5, 5, 3, 5, 3, 3, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5], "2759": [4, 3, 5, 4, 2, 5, 3, 4, 3, 5, 5, 4, 4, 4, 4], "4411": [2, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 5, 3, 5, 3, 5, 4, 2, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 2, 5, 5, 4, 5, 5, 2, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 1, 1, 5, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 5, 3, 4, 5, 2, 4, 5, 5, 3, 4, 3, 2, 5, 5, 3, 5, 5, 3, 5, 3, 3, 4, 5, 5, 3, 5, 5, 1, 3, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 1, 5, 5, 4, 5, 5, 4, 3, 5, 5, 2, 5, 5, 2, 4, 5, 3, 5, 5, 2, 2, 4, 2, 2, 3, 3, 4, 2, 3, 3, 5, 4, 5, 5, 4, 3, 5, 5, 4, 3, 2, 2, 5, 4, 5, 3, 5, 4, 5, 3, 5, 2, 4, 4, 3, 5, 2, 5, 4, 5, 2, 4, 4, 4, 2, 5, 4, 3, 3, 5, 5, 5, 4, 3, 2, 4, 4, 2, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 3, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 2, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 2, 4, 1, 5, 4, 3, 3, 5, 2, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 5, 5, 5, 4, 3, 3, 1, 5, 5, 5, 4, 3, 3, 4, 5, 3, 4, 2, 1, 5, 1, 3, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 2, 3, 3, 1, 3, 5, 2, 5, 5, 4, 4, 4, 3, 5, 3, 3, 2, 5, 3, 4, 3, 3, 1, 1, 4, 2, 3, 5, 5, 4, 5, 5, 5, 2, 4, 3, 4, 4, 2, 2, 4, 1, 4, 5, 1, 5, 3, 4, 2, 5, 5, 4, 5, 2, 2, 3, 4, 2, 1, 2, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 2, 4, 3, 2, 4, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 3, 5, 5, 1, 4, 5, 5, 3, 5, 2, 5, 4, 4, 3, 2, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 5, 3], "3457": [4, 4, 5, 3, 5, 5, 4, 5, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 1, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 5, 4, 3, 5, 4, 3, 2, 4, 3, 4, 2, 4, 2, 4, 3, 5, 3, 3, 4, 2, 4, 5, 4, 5, 5, 3, 5, 4, 4, 2, 3, 2, 5, 2, 2, 3, 2, 5, 3, 3, 4, 5, 4, 3, 3, 4, 3, 5, 3, 3, 1, 4, 5, 5, 3, 3, 4, 4, 3, 5, 3, 5, 3, 5, 2, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 2], "5418": [4, 3, 4, 5, 4, 5, 4, 1, 4, 5, 4, 4, 3, 4, 5, 2, 4, 3, 4, 4, 4, 5, 5, 4, 5, 1, 3, 3, 4, 2, 5, 2, 4, 4, 4, 5, 2, 1, 5, 4, 5, 4, 5, 2, 3, 3, 4, 3, 5, 1, 5, 5, 5, 2, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 2, 4, 5, 5, 4, 3, 2, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 1, 5, 3, 4, 3, 4, 5, 4, 3, 5, 5, 3, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 2, 5, 4, 1, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 1, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 1, 1, 5, 5, 2, 4, 4, 3, 3, 3, 5, 2, 1, 5, 4, 3, 3, 5, 1, 3, 3, 5, 2, 3, 4, 2, 4, 1, 4, 5, 1, 3, 3, 2, 5, 4, 1, 2, 4, 4, 5, 3, 4, 3, 4, 4, 4, 1, 2, 4, 4, 4, 4, 3, 2, 4, 2, 3, 3, 5, 3, 5, 4, 1, 4, 4, 4, 1, 3, 4, 5, 4, 3, 4], "4922": [4, 5, 5, 2, 3, 4, 1, 3, 5, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 1, 5, 2, 5, 3, 4, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 2, 5, 4, 4, 1, 4, 3, 2, 3, 3, 4, 5, 4, 5, 5, 3, 5, 5, 3, 1, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 1, 4, 4, 5, 5, 5, 4, 4, 4, 5, 2, 4, 3, 5, 5, 3, 5, 4, 5, 5, 3, 5, 4, 4, 2, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 3, 3, 2, 1, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3], "3445": [4, 3, 4, 5, 5, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 1, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 2, 4, 3, 4, 5, 5, 1, 4, 4, 5, 4, 4, 3, 2, 5, 5, 1, 4, 4, 5, 3, 2, 2, 4, 4, 2, 2, 4, 2, 2, 3, 2, 3, 4, 4, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 3, 5, 3, 2, 3, 3, 4, 5, 4, 4, 5, 2, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4], "2334": [4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 2, 4, 5, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 2, 3, 5, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 2, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 2, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 5, 3, 4, 5, 3, 4, 4, 5, 3, 4, 3, 4, 2, 4, 4, 5, 5], "139": [4, 5, 5, 2, 3, 3, 4, 4, 5, 3, 4, 3, 1, 4, 1, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 4, 3, 4, 3, 3, 3, 4, 3, 3, 5, 5, 3, 5, 3, 3, 5, 3, 4, 5, 5, 5, 5, 5, 1, 2, 4, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 5, 3, 4, 5, 5, 5, 4, 4, 4, 3, 2, 5, 3, 5, 4, 4, 1, 4, 4, 3, 4, 3, 5, 3, 5, 4, 5, 3, 4, 2, 2, 4, 4, 4, 5, 2, 5, 4, 5, 5, 5, 3, 3, 5, 3, 4, 4, 3, 5, 2, 1, 3, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 5, 5, 4, 4, 2, 3, 3, 4, 5, 3, 3, 4, 5, 5, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 3, 2, 5, 5, 2, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 2, 5, 5, 3, 5, 4, 5, 5, 4, 5, 3, 2, 5, 4, 4, 4, 2, 4, 5, 5, 5, 4, 5, 3, 3, 3, 5, 1, 4, 2, 5, 3, 2, 5, 3, 2, 5, 5, 5], "2999": [4, 2, 1, 2, 3, 4, 3, 5, 4, 2, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 1, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 2, 4, 1, 2, 1, 4, 3, 3, 4, 2, 4, 3, 2, 4, 3, 4, 2, 3, 2, 3, 4, 3, 2, 2, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 5, 3, 5, 5, 4, 1, 4, 3, 4, 3, 4, 3, 3, 1, 1, 4, 4, 3, 3, 4, 3, 3, 3, 3, 5, 5, 3, 1, 3, 1, 5, 4], "3052": [4, 4, 1, 1, 4, 5, 5, 3, 1, 4, 4, 1, 5, 4, 5, 4, 4, 1, 4, 2, 1, 4, 5, 3, 1, 4, 5, 4, 4, 5, 3, 2, 5, 3, 4, 5, 4, 5, 1, 4, 4, 5, 4, 5, 3, 1, 3, 5, 4, 5, 1, 1, 3, 3, 4, 4, 3, 1, 3, 3, 4, 1, 1, 5, 5, 1, 4, 4, 4, 2, 3], "4409": [5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 5, 5, 5, 3, 5, 3, 2, 5, 5, 3, 4, 3, 3, 4, 3], "5077": [4, 5, 4, 4, 5, 2, 3, 3, 5, 4, 3, 3, 4, 5, 5, 2, 5, 5, 3, 4, 3, 3, 2, 3, 4, 5, 4, 4, 3, 5, 3, 3, 5, 2, 3, 5, 5, 2, 5, 4, 3, 3, 3, 5, 5, 5, 4, 1, 3, 5, 5, 5, 3, 3, 2, 1, 3, 2, 5, 4, 5, 3, 2, 2, 2, 5, 5, 2, 5, 5, 5, 3, 3, 4, 3, 3, 4, 3, 5, 3, 2, 3, 5, 4, 2, 5, 5, 4, 5, 4, 3, 3, 5, 5, 3, 3, 5, 2, 5, 4, 4, 4, 1, 5, 5, 3, 3, 5, 4, 4, 1, 1, 4, 3, 5, 5, 5, 4, 2, 2, 1, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 3, 3, 3, 5, 5, 5, 4, 4, 1, 2, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 2, 5, 3, 4, 3, 3, 2, 4, 5, 4, 5, 4, 5, 5, 5, 2, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 2, 5, 3, 5, 5, 5, 3, 5, 3, 3, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 2, 5, 2, 5, 5, 4, 4, 5, 4, 4, 1, 5, 5, 4, 3, 2, 2, 3, 4, 4, 5, 2, 5, 3, 4, 1, 2, 2, 4, 2, 3, 3, 3, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 2, 5, 3, 3, 2, 3, 3, 4, 4, 4, 4, 2, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 2, 5, 1, 5, 3, 3, 5, 2, 4, 3, 4, 2, 3, 3, 2, 4, 4, 5, 4, 2, 5, 5, 5, 4, 3, 4, 3, 4, 4, 4, 2, 1, 4, 4, 5, 3, 4, 1, 3, 4, 2, 5, 3, 2, 2, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 4, 2, 4, 4, 4, 3, 3, 4, 3, 5, 2], "4560": [3, 3, 4, 3, 2, 4, 4, 4, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 2, 4, 4, 2, 2, 3, 5, 3, 5, 4, 3, 5, 3, 3, 3, 5, 2, 5, 5, 3, 4, 5, 3, 1, 3, 4, 3, 3, 3, 4, 5, 4, 5, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 4, 4, 3, 4, 1, 2, 5, 5, 4, 5, 3, 4, 3, 4, 4, 3, 1, 4, 3, 4, 4, 4, 3, 3, 5, 3, 3, 3, 5, 5, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 3, 5, 3, 3, 3, 4, 5, 2, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 1, 3, 5, 3, 3, 4, 4, 3, 4, 3, 3, 4, 2, 3, 3, 2, 2, 1, 1, 4, 5, 4, 3, 4, 3, 4, 5, 5, 3, 3, 4, 2, 5, 2, 2, 5, 3, 5, 3, 3, 3, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 2, 4, 5, 5, 3, 3, 5, 4, 3, 3, 4, 3, 2, 4, 5, 3, 4, 2, 4], "5106": [5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 5, 5, 3, 2, 4, 3, 5, 5, 4, 2, 4, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 1, 4, 2, 3, 4, 4, 5, 5, 4, 4], "2236": [4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4], "1573": [3, 4, 1, 2, 5], "2565": [4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 1, 5, 5, 1, 4, 2, 1, 2, 4, 5, 1, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 3, 2, 5, 4, 5, 3, 4, 3, 2, 3, 4, 4, 3, 2, 5, 4, 5, 4, 4, 5, 1, 4, 1, 4, 4, 5, 3, 3, 1, 4, 4, 5, 3, 2, 5, 4, 3, 3, 5, 5, 5, 4, 5, 4, 5, 5, 2, 2, 3, 5, 1, 4, 4, 1, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 2, 2, 2, 1, 2, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 5, 4, 2, 3, 3, 2, 3, 4, 4, 4, 4, 3, 1, 5, 4, 3, 2, 2, 2, 3, 5, 2, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 2, 4, 5, 4, 5, 4, 1, 1, 2, 4, 2, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 1, 4, 4, 1, 2, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 1, 4, 5, 5, 3, 4, 4, 5, 4, 4, 2, 4, 3, 1, 4, 4, 4, 4, 2, 3, 4, 5, 3], "59": [4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 1, 4, 2, 5, 3, 2, 3, 5, 4, 4, 1, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5, 4, 3, 4, 3, 5, 4, 3, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 4, 1, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 1, 2, 4, 3, 5], "5864": [4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4], "4521": [3, 5, 4, 1, 5, 2, 4, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 1, 5, 1, 1, 3, 4, 3, 4, 4, 2, 3, 5, 4, 2, 5, 3, 5, 2, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 5, 3, 5, 3, 4, 2, 4, 4, 5, 4, 5, 3, 4, 4, 3, 2, 5, 5, 2, 2, 4, 2, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 5, 3, 3, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 4, 5, 2, 4, 5, 5, 5, 5, 4, 5, 2, 3, 4, 3, 4, 5, 5, 3, 5, 3, 4, 5, 3, 4, 4, 5, 3, 1, 1, 5, 5, 3, 4, 5, 5, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 1, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 4, 2, 5, 1, 2, 3, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 1, 3, 4, 5], "6033": [5, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 3, 3, 3, 4, 5, 1, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 5, 2, 3, 4], "3034": [4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5], "1208": [4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5], "5705": [2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 2, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 5, 3, 5, 3, 3, 3, 4, 3, 5, 3, 5, 3, 5, 4, 5, 5, 2, 4, 3, 3, 3, 4, 5, 4, 2, 5, 4, 5, 5, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 5, 4, 5, 5, 5, 3, 3, 3, 3, 4, 5, 3, 3, 3, 1, 4, 3, 5, 5, 3, 5, 5, 4, 4, 2, 2, 2, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 3, 5, 3, 2, 2, 3, 5, 3, 3, 5, 3, 2, 2, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 3], "4949": [5, 5, 2, 3, 5, 5, 2, 4, 4, 4, 5, 5, 4, 1, 3, 1, 5, 4, 5, 5, 5, 4], "3575": [2, 5, 4, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 3, 2, 2, 3, 4, 2, 5, 5, 2, 2, 4, 4], "5224": [1, 3, 5, 3, 4, 5, 2, 4, 4, 4, 3, 3, 1, 1, 2, 5], "3031": [4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 2, 5, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 3, 2, 2, 4, 3, 5, 5, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 3, 5, 3, 2, 5, 3, 2, 4, 4, 4, 4, 5, 2, 3, 5, 4, 4, 3, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 2, 4, 5, 4, 4, 3, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 3, 5, 3, 3, 4, 3, 2, 4, 4, 2, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 2, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 1, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 3, 5, 3, 5, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 1, 3, 5, 4, 5, 5, 5, 4, 2, 3, 4, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3], "2982": [4, 5, 4, 4, 3, 5, 5, 2, 5, 5, 5, 1, 4, 5, 1, 5, 4, 5, 3], "808": [4, 3, 3, 4, 4, 5, 4, 2, 3, 2, 4, 5, 3, 3, 3, 4, 2, 2, 4, 5, 2, 4, 3, 5, 2, 3, 1, 3, 4, 5, 4, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 4, 4, 1, 4, 2, 3, 2, 2, 3, 2, 3, 2, 2, 4, 4, 5, 5, 2, 5, 1, 3, 2, 4, 5, 3, 3, 2, 1, 1, 1, 2, 4, 4, 4, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 1, 4, 3, 5, 3, 3, 4, 1, 2, 3, 3, 3, 3, 3, 2, 3, 2, 5, 5, 3, 5, 4, 2, 2, 1, 4, 1, 2, 4, 3, 4, 4, 3, 3, 3, 3, 5, 2, 5, 4, 3, 3, 2, 2, 2, 4, 1, 1, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 2, 1, 3, 2, 4, 4, 1, 4, 2, 2, 2, 3, 2, 4, 3, 3, 3, 3, 2, 5, 3, 2, 3, 4, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 4, 1, 3, 2, 4, 3, 2, 3, 3, 1, 4, 4, 2, 5, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 3, 2, 3, 2, 1, 4, 2], "4666": [3, 2, 4, 3, 5, 5, 3, 5, 3, 2, 4, 3, 4, 4, 4, 2, 2, 4, 3, 3, 5, 3, 4, 2, 4, 4, 4, 3, 2, 3, 5, 3, 3, 4, 3, 3, 2, 3, 5, 4, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 5, 5, 3, 4, 5, 4, 3, 1, 4, 5, 4, 4, 3, 5, 2, 1, 4, 1, 5, 3, 3, 3, 4, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 1, 4, 3, 3, 4, 2, 3, 3, 5, 2, 4, 3, 2, 4, 3, 2, 3, 4, 5, 1, 1, 4, 4, 3, 5, 3, 4, 3, 1, 4, 5, 1, 3, 4, 3, 2, 4, 3, 2, 4, 4, 4, 2, 3, 4, 4, 4, 5, 3, 4, 2, 3, 3, 4, 5, 2, 4, 4, 1, 3, 2, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 3, 5, 4, 5, 5, 3, 5, 4, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 3, 4, 1, 3, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 1, 2, 4, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 3, 4, 4, 1, 4, 2, 2, 3, 3, 2, 4, 2, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 3, 5, 2, 4, 2, 3, 5, 3, 2, 3, 2, 2, 2, 5, 2, 4, 5, 5, 4, 5, 2, 4, 4, 5, 4, 3, 3, 2, 2, 2, 4, 3, 3, 4, 2, 3, 2, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2], "5498": [1, 5, 4, 5, 5, 2, 5, 5, 2, 4, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 5, 4, 4, 5, 3, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 5, 4], "4701": [5, 4, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 1, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3], "373": [3, 3, 3, 3, 5, 3, 4, 5, 3, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3], "437": [5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 5, 3, 3, 5, 4, 5, 5, 4, 4, 5, 3, 5, 3, 5, 4, 5, 4, 5], "2733": [3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 2, 4, 5], "72": [3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 4, 1, 4, 2, 3, 5, 4, 4, 2, 4, 2, 5, 5, 5], "577": [3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 3, 3, 4, 5, 2, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 2, 4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5], "4686": [4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 4, 3, 4, 5, 5, 4, 5, 3, 5, 1, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 2, 5, 5, 4, 4, 5, 5, 4, 5, 1, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5], "5185": [3, 4, 3, 3, 3, 3, 5, 4, 3, 4, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 1, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 1, 3, 4, 3, 1, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 5, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3], "3750": [4, 3, 3, 4, 4, 1, 5, 2, 3, 3, 3, 5, 5, 4, 5, 3, 4, 4, 3, 5, 2, 3, 2, 3, 4, 5, 5, 3, 3, 3, 5, 1], "4632": [3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4], "901": [4, 3, 3, 5, 4, 4, 3, 4, 5, 3, 4, 4, 2, 3, 4, 4, 5, 4, 5], "1779": [3, 2, 4, 3, 3, 3, 3, 4, 4, 5, 4, 1, 3, 4, 3, 3, 4, 4, 4, 4, 1, 3, 1, 2, 2, 4, 4, 3, 1, 4, 4, 3, 3, 2, 3, 2, 3, 3, 5, 3, 5, 5, 5, 2, 5, 4, 5, 5, 2, 5, 3, 2, 5, 4, 1, 2, 4, 4, 4, 3, 2, 3, 5, 2, 4, 3, 4, 3, 4, 3, 2, 5, 4, 5, 4, 2, 4, 4, 2, 1, 3, 4, 3, 3, 5, 4, 1, 3, 4, 2, 3], "4991": [4, 3, 4, 5, 4, 3, 2, 3, 1, 4, 4, 4, 3, 4, 3, 1, 4], "2497": [3, 5, 5, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 3, 4, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 3, 4, 2, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5], "4067": [5, 3, 5, 5, 1, 3, 1, 2, 4, 1, 3, 4, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 3, 2, 3, 3], "4003": [2, 4, 5, 3, 4, 5, 5, 4, 4, 3, 3, 5, 3, 4, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 5, 2, 5, 4, 4, 4], "4601": [4, 4, 4, 5, 4, 4, 3, 3, 5, 2, 3, 3, 3, 5, 4, 3, 3, 4, 5, 4, 4, 5, 3, 5, 3, 4, 3, 2, 3, 4, 5, 3, 4, 3, 2, 5, 5, 2, 4, 3, 3, 3, 4, 3, 3, 5, 3, 4, 5, 3, 4, 3, 3, 3, 3, 4, 5, 3, 2, 5, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 2, 3, 2, 4, 2, 3, 4, 4, 5, 3, 4, 3, 3, 5, 4, 2, 2, 4, 4, 4, 5, 5, 3, 4, 5], "2040": [4, 4, 3, 4, 1, 1, 4, 4, 2, 4, 4, 3, 3, 2, 3, 5, 4, 3, 1, 4, 2], "1412": [5, 5, 4, 3, 3, 4, 3, 3, 5, 1, 5, 1, 4, 2, 4], "2212": [4, 4, 1, 2, 2, 2, 4, 4, 1, 2, 2, 3, 3, 2, 4, 3, 2, 4, 4, 5, 2, 4, 1, 3, 3, 3], "4448": [3, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 2, 3, 4, 5, 3, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 2, 2, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 3, 2, 5, 3, 4, 5, 3, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 2, 5, 5, 3, 5, 5, 3, 5, 5, 4, 4, 3, 5, 5, 3, 4, 5, 2, 2, 1, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 2, 5, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 2, 5, 3, 4, 5, 4, 5, 3, 4, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 3, 5, 1, 4, 2, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 2, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 5, 5, 4, 1, 5, 5, 5, 3, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 4, 5, 2, 1, 4, 4, 5, 4, 5, 4, 3, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 3, 5, 3, 3, 5, 5, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 2, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 2, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 3, 4, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 2, 4, 5, 5, 5, 4, 5, 5, 3, 3, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 2, 5, 5, 4, 3, 4, 5, 5, 3, 5, 2, 5, 4, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4], "502": [5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 2, 5, 5], "4955": [4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 3, 4, 5, 4, 5, 3, 5], "5267": [2, 3, 5, 5, 4, 3, 4, 3, 5, 5, 5, 1, 3, 3, 2, 3, 4, 3, 5, 5, 5, 4, 4, 2, 3, 5, 5, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 5, 4, 4, 2, 3, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5], "4213": [5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 5, 4, 2, 4, 2, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 2, 5, 4, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 5, 4, 2, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 5, 3, 4, 4, 4, 1, 4, 5, 5, 5, 4, 1, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 1, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], "1182": [4, 4, 3, 2, 3, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 2, 4, 2, 2, 3, 2, 3, 4, 3, 4, 5, 4, 5, 2, 4, 4, 4, 5, 3, 2, 4, 2, 4, 3, 3, 2, 3, 3, 3, 5, 2, 4, 1, 5, 2, 3, 4, 3, 4, 1, 3, 3, 3, 4, 1, 4, 4, 3, 5, 1, 3, 3, 5, 1, 3, 2, 4, 3, 4, 5, 5, 4, 2, 1, 4, 4, 3, 4, 4, 4, 2, 5, 4, 3, 3, 5, 5, 2, 1, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 4, 2, 5, 3, 5, 2, 1, 3, 3, 4, 3, 5, 3, 4, 4, 2, 4, 2, 1, 5, 3, 1, 4, 5, 5, 5, 3, 1, 4, 3, 3, 3, 3, 2, 4, 4, 2, 5, 2, 4, 5, 4, 4, 5, 3, 4, 2, 3, 4, 4, 5, 4, 2, 3, 1, 5, 2, 2, 5, 1, 3, 1, 3, 2, 3, 4, 2, 2, 3, 4, 4, 2, 5, 4, 4, 3, 2, 4, 4, 2, 5, 3, 2, 2, 4, 3, 3, 3, 1, 1, 5, 5, 4, 3, 4, 4, 5, 1, 4, 5, 2, 4, 3, 5, 2, 4, 5, 5, 5, 5, 3, 5, 5, 2, 3, 2, 3, 1, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 5, 5, 4, 2, 4, 3, 2, 2, 5], "5911": [2, 3, 3, 2, 5, 4, 4, 5, 4, 5, 5, 5, 4, 2, 3, 5, 5, 4, 5, 4, 4, 2, 3, 5, 3, 3, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5, 5, 5, 3, 5, 4, 5, 3, 3, 3, 5, 5, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 5, 3, 4, 2, 5, 5, 3, 5, 5, 1, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 4, 1, 5, 3, 5, 5, 3, 3, 3, 5, 5, 3, 4, 4, 3, 4], "2693": [5, 5, 4, 5, 4, 5, 4, 4, 2, 5, 3, 5, 3, 3, 4, 5, 5, 5, 3, 4, 2, 5, 3, 3, 4, 3, 4, 5, 4, 2, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 4, 3, 5, 3, 4, 2, 2, 3, 5, 3, 4, 4, 4, 5, 5, 2, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 3, 4, 3, 3, 4, 5, 4, 1, 5, 5, 2, 3, 4, 4, 5, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 2, 5, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3], "3134": [2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 3, 4, 5, 2, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 1, 2, 4, 5, 5, 4, 5, 3, 4, 2, 3, 4, 4], "486": [5, 5, 4, 5, 5, 4, 3, 3, 2, 2, 4, 3, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4], "4836": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 2, 5, 5, 3, 2, 4, 3, 4, 3, 5, 3, 5, 4, 4, 5], "5251": [3, 1, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 4, 2, 4, 4, 3, 5, 2, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 3, 3, 5, 5, 5, 4, 4, 4, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 3, 5, 4, 4, 4, 3, 5, 3, 4, 3, 3, 1, 5, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 3, 4], "1010": [2, 1, 1, 1, 2, 5, 4, 2, 5, 2, 4, 1, 2, 3, 3, 2, 1, 1, 1, 3, 1, 2, 1, 3, 2, 5, 5, 3, 5, 5, 2, 4, 3, 3, 2, 2, 4, 4, 4, 3, 1, 2, 5, 4, 4, 4, 1, 4, 2, 5, 4, 4, 3, 1, 3, 2, 1, 3, 1, 1, 1, 4, 3, 4, 1, 4, 5, 2, 4, 3, 2, 4, 3, 2, 4, 3, 3, 3, 1, 5, 2, 5, 1, 2, 1, 2, 3, 4, 4, 2, 1, 5, 4, 4, 2, 4, 1, 5, 2, 2, 1, 3, 1, 2, 3, 1, 4, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 3, 1, 2, 3, 5, 2, 4, 3, 1, 1, 3, 4, 3, 2, 1, 3, 3, 2, 3, 3, 3, 2, 2, 3, 3, 1, 1, 4, 3, 1, 2, 2, 4, 1, 1, 3, 4, 2, 4, 5, 1, 2, 3, 4, 3, 3, 1, 5, 3, 5, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 3, 1, 1, 4, 3, 3, 2, 1, 1, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 1, 4, 4, 1, 3, 2, 3, 1, 1, 3, 2, 2, 2, 1, 2, 4, 1, 4, 3, 2, 1, 3, 3, 3, 1, 4, 2, 1, 5, 1, 2, 4, 5, 3, 2, 2, 1, 2, 3, 4, 3, 1, 4, 4, 1, 3, 1, 5, 1, 3, 5, 4, 3, 2, 4, 3, 2, 5, 1, 2, 3, 1, 1, 4, 3, 1, 1, 4, 2, 3, 1, 5, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 3, 5, 1, 4, 3, 1, 2, 2, 3, 1, 3, 1, 3, 1, 2, 3, 5, 2, 2, 3, 2, 2, 1, 4, 1, 3, 3, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 1, 4, 5, 1, 1, 4, 1, 4, 2, 3, 4, 1, 1, 4, 4, 3, 4, 2, 2, 3, 1, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 3, 1, 2, 2, 4, 2, 5, 3, 3, 5, 1, 4, 1, 2, 3, 2, 3, 4, 4, 4, 5, 2, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 2, 4, 3, 1, 3, 5, 1, 5, 4, 5, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 4, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 1, 2, 2, 1, 3, 1, 1, 1, 1, 3, 3, 2, 5, 1, 1, 4, 4, 3, 2, 2, 3, 4, 3, 4, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 3, 1, 1, 5, 3, 4, 2, 2, 4, 4, 2, 2, 4, 3, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 4, 3, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 5, 2, 2, 3, 4, 3, 5, 2, 5, 3, 3, 1, 3, 3, 3, 1, 2, 1, 1, 3, 1, 2, 1, 3, 2, 4, 2, 3, 3, 2, 3, 1, 4, 1, 4, 2, 4, 4, 3, 1, 2, 3, 3, 1, 3, 4, 2, 4, 1, 1, 1, 3, 1, 3, 1, 2, 4, 4, 4, 5, 2, 2, 4, 1, 3, 2, 5, 2, 1, 4, 2, 3, 2, 1, 3, 3, 4, 1, 3, 3, 2, 2, 3, 1, 1, 1, 4, 1, 2, 3, 2, 3, 1, 2, 4, 1, 3, 3, 2, 3, 2, 1, 3, 3, 4, 2, 1, 4, 4, 2, 3, 4, 1, 3, 4, 3, 2, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 3, 3, 4, 2, 3, 1, 2, 3, 4, 4, 1, 2, 5, 4, 1, 1, 2, 3, 4, 3, 5, 1, 3, 2, 4, 1, 5, 3, 3, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 4, 3, 1, 2, 4, 3, 2, 1, 1, 1, 2, 3, 3, 1, 2, 5, 3, 2, 3, 4, 2, 4, 4, 2, 1, 1, 3, 2, 4, 2, 1, 3, 2, 4, 2, 3, 3, 5, 1, 1, 2, 5, 3, 3, 1, 1, 4, 3, 4, 3, 2, 4, 3, 1, 1, 2, 4, 4, 1, 3, 3, 3, 3, 1, 3, 2, 3, 1, 4, 3, 3, 5, 1, 3, 3, 2, 4, 1, 3, 1, 2, 2, 4, 2, 4, 1, 3, 3, 5, 2, 3, 4, 4, 3, 4, 3, 1, 4, 5, 3, 1, 2, 4, 2, 3, 4, 1, 1, 4, 5, 4, 3, 2, 3, 3, 4, 2, 5, 2, 3, 1, 2, 1, 4, 1, 4, 4, 3, 5, 3, 5, 2, 4], "4012": [5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 3, 4, 4, 5], "296": [4, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 1, 5, 5, 5, 4, 2, 4, 5, 5, 1, 4, 1, 5, 2, 2, 3, 3, 5, 5, 5, 1, 5, 1, 1, 5, 4, 5, 4, 4, 5, 4, 1, 1, 1, 5, 4, 4, 5, 4, 4, 2, 5, 3, 1, 3, 5, 4, 5, 5, 4, 4, 1, 1, 1, 5, 1, 3, 5, 5, 5, 5, 5, 3, 5], "3035": [1, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 2, 5, 3, 4, 5, 2, 5, 5, 4, 3, 5, 5, 1, 5, 4, 3, 5, 5, 4, 5, 3, 4, 2, 4, 4, 4, 4, 5, 4, 5, 3, 2, 5, 3, 1, 5, 5, 4, 5, 5, 3, 2, 4, 1, 4], "3991": [2, 3, 4, 3, 3, 4, 5, 4, 3, 3, 5, 4, 5, 3], "4397": [5, 5, 1, 3, 5, 3, 1, 5, 4, 4, 5, 5, 5, 3, 3, 2, 3, 5, 2, 4, 5], "1751": [4, 5, 4, 4, 4, 5, 1, 5, 5, 4, 5, 5, 5, 4, 5, 5], "4527": [2, 3, 4, 2, 2, 4, 5, 3, 3, 5, 4], "1090": [3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 2, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4], "5759": [2, 5, 5, 4, 5, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 2, 2, 3, 1, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 2, 3, 2, 2, 4, 4, 4, 3, 1, 5, 3, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 2, 4, 4, 4, 4, 1, 3, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 2, 4, 3, 4, 2, 4, 4, 3, 5, 5, 5, 3, 3, 4, 5, 3, 2, 4, 4, 5, 4, 4, 3, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 1, 5, 5, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4, 4, 2, 5, 5, 4, 4, 4, 2, 3, 5, 2, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 4, 2, 5, 4, 3, 2, 4, 2, 2, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 3, 1, 2, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 3, 4, 3, 4, 3, 4, 5, 3, 5, 3, 4, 5, 3, 5, 2, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 3, 3, 4, 5, 2, 5, 2, 4, 4, 5, 2, 1, 3, 4, 2, 2, 4, 3, 1, 3, 3, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 4, 2, 3, 5, 5, 4, 5, 3, 4, 2, 4, 4, 3, 5, 5, 2, 3, 4, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 2, 4, 2, 4, 4, 3, 5, 1, 1, 3, 1, 4, 3, 4, 2, 1, 5, 4, 4, 3, 4, 3, 2, 4, 4, 1, 4, 5, 1, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 1, 3, 3, 2, 5, 5, 4, 2, 1, 5, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4], "5238": [5, 4, 2, 2, 3, 3, 4, 3, 5, 2, 1, 5, 4, 3, 5, 3, 5, 3, 3, 5, 1, 5], "2583": [3, 5, 5, 3, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 1, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 5, 3, 5, 5, 3, 5, 4, 3, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 2, 5, 4, 4, 5, 4, 3, 3, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 3, 5, 5, 3, 5], "1076": [5, 4, 5, 2, 4, 4, 3, 4, 2, 4, 1, 4, 1, 2, 2, 4, 4, 3, 5, 2, 1, 5, 1, 3, 1, 4, 4, 1, 4, 2, 4, 3, 5, 3, 1, 3], "5819": [5, 4, 5, 3, 3, 1, 4, 4, 2, 2, 3, 4, 3, 4, 5, 4, 5, 3, 3, 5, 3, 4, 4, 4, 4, 5, 5, 5, 4], "1020": [5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 2, 3, 4, 4, 2, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5], "4787": [5, 5, 4, 4], "288": [3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5], "4137": [5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 4, 4, 5, 1, 4, 5, 4, 5, 3, 4, 3, 1, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5], "2042": [4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 1, 4, 5, 4, 4, 4, 2, 5, 4, 4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 2, 3, 3, 2, 2, 2, 3, 3, 4, 1, 2, 1, 4, 4, 1, 3, 1, 3, 3, 3, 4, 4, 1, 4, 4, 2, 5, 4, 4, 3, 3, 2, 2, 4, 5, 3, 3, 3, 2, 4, 4, 3, 3, 3, 5, 5, 4, 2, 3, 4, 4, 4, 4, 1, 3, 2, 2, 4, 1, 3, 1, 4, 5, 4, 5, 4, 5, 2, 4, 1, 4, 4, 4, 4, 2, 4, 3, 2, 4, 3, 2, 4, 5, 4, 4, 4, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 4, 1, 1, 1, 3, 3, 3, 4, 2, 2, 1, 3, 2, 4, 3, 2, 4, 4, 4, 3, 3, 4, 3, 2, 4, 2, 1, 3, 3, 4, 3, 2, 5, 4, 4, 1, 4, 5, 2, 3, 5, 2, 4, 4, 1, 3, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 2, 4, 5, 2, 1, 1, 2, 4, 4, 3, 4, 2, 3, 3, 3, 1, 3, 3, 4, 4, 4, 4], "4813": [5, 2, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 5, 5, 4, 2, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 3, 5, 3, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5], "2575": [2, 3, 4, 5, 4, 3, 3, 4, 4, 3, 5, 3, 3, 3, 4, 4, 5, 4, 4, 5, 2, 3, 3, 3, 3, 2, 4, 2, 5, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 4, 1, 3, 4, 2, 4, 5, 5, 2, 4, 2, 5, 3, 3, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 3, 5, 4, 3, 2, 4, 4, 2, 3, 4, 3, 5, 5, 5, 2, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 2], "5112": [2, 4, 2, 4, 4, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 2, 5, 5, 5, 4, 4, 3, 4, 3, 3, 4, 1, 5, 2, 4, 5, 5, 4, 4, 4, 2, 1, 5, 3, 3, 3, 4, 1, 5, 2, 2, 5, 2, 4, 3, 2, 3, 3, 2, 1, 3, 3, 4, 3, 1, 1, 3, 4, 4, 3, 2, 2, 3, 3, 1, 3, 2, 3, 4, 2, 5, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 1, 2, 3, 3, 3, 1, 2, 1, 2, 5, 2, 3, 4, 3, 3, 4, 1, 2, 3, 2, 2, 3, 3, 4, 4, 4, 4, 2, 4, 3, 1, 4, 5, 2, 2, 4, 3, 4, 3, 3, 4, 2, 4, 3, 2, 3, 2, 3, 5, 2, 5, 3, 3, 4, 4, 4, 5, 5, 1, 3, 2, 4, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 4, 5, 3, 3, 4, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 4, 2, 3, 2, 2, 2, 3, 4, 2, 5, 1, 2, 3, 3, 3, 3, 4, 2, 2, 4, 3, 2, 4, 2, 2, 4, 2, 4, 5, 2, 5, 5, 5, 3, 3, 3, 5, 3, 4, 4, 3, 4, 2, 3, 4, 2, 3, 3, 2, 3, 3, 2, 4, 2, 2, 3, 4, 2, 3, 4, 3, 2, 1, 4, 4, 4, 2, 3, 3, 4, 3, 2, 4, 4, 3, 3, 5, 2], "3556": [4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 2, 4, 3, 5, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 2, 4, 3, 3, 4, 4, 4, 4], "6011": [3, 5, 5, 5, 4, 4, 3, 3, 4, 4, 3, 1, 3, 5, 4, 3, 4, 3, 4, 4, 2, 3, 3, 4, 3, 5, 5, 3, 4, 5, 5, 4, 5, 4, 3, 1, 2, 4, 5, 5, 4, 5, 4, 5, 3, 1, 5, 4, 4, 4, 4, 5, 3, 5, 2, 2, 3, 5, 5, 3, 2, 5, 5, 5, 4, 3, 3, 4, 2, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 2, 3, 3, 4, 5, 2, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 2, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 2, 5, 3, 3, 2, 2, 4, 4, 4, 3, 1, 4, 3, 5, 3, 5, 4, 5, 5, 4, 4, 4, 2, 4, 2, 2, 4, 5, 3, 3, 4, 5, 3, 2, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5], "1344": [4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4], "2056": [4, 5, 2, 3, 3, 5, 5, 5, 5, 5, 1, 3, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 3, 4, 3, 5, 3, 5, 4, 4, 5, 2, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 2, 5, 2, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 5, 4, 4, 5, 4, 3, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 3, 2, 3, 5, 5, 2, 3, 5, 5, 5, 5, 5, 3, 3, 4, 3, 2, 3, 5, 3, 3, 5, 4, 3, 2, 2, 5, 5, 4, 4, 5, 2, 4, 4, 2, 5, 3, 5, 5, 3, 4, 4, 5, 3, 5, 4, 2, 5, 5, 5, 3, 2, 1, 3, 2, 3, 5, 5, 3, 4, 5, 4, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 1, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 3, 3, 2, 5, 5, 4, 3, 5, 5, 2], "2360": [5, 4, 4, 4, 4, 1, 3, 1, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 3, 5, 4, 3, 3, 3, 4, 4, 1, 4, 4, 2, 5, 4], "5443": [3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 3, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 5, 4, 4, 3, 4, 5, 2, 4, 2, 3, 3, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 5, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 2, 3, 4, 5, 3, 4, 5, 5, 1, 5, 5, 5, 3, 5, 4, 5, 5, 3, 5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 3, 4, 5, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 3, 3, 3, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 5, 1, 2, 4, 3, 5, 3, 3, 3, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 1, 2, 4, 5, 3, 4, 5, 4, 5, 3, 4, 2, 5, 3, 4, 5, 1, 3, 3, 3, 3, 2, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 3, 4, 3, 5, 3, 4, 5, 2, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 5, 2, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 2, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 2, 5], "3818": [5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5], "4707": [1, 1, 4, 5, 5, 4, 2, 4, 4, 5, 3, 5, 3, 4, 4, 1, 4, 2, 3, 2, 1, 4, 1, 4], "3002": [5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 1, 3, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 5, 3, 3, 2, 4, 5, 4, 5, 5, 5, 5, 2, 4, 4, 5, 5, 2, 4, 2, 5, 4, 2, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5], "2960": [4, 5, 5, 4, 3, 4, 5, 2, 4, 3, 3, 2, 4, 5, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 5, 5], "2159": [5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5], "2928": [4, 5, 3, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 1, 2, 3, 5, 3, 5, 4, 4, 5, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 1, 5, 4, 4, 3, 1, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 2, 3, 4, 3, 4, 1, 3, 3, 5, 4, 5, 3, 5, 5, 4, 3, 2, 4, 4, 5, 2, 2, 3, 4, 5, 2, 5, 4, 4, 4, 3, 5, 5, 4, 3, 5, 4, 4, 5, 3, 2, 4, 3, 5, 4, 5, 1, 4, 3, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 3, 3, 3, 2, 3, 4, 5, 4, 3, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 2, 4, 5, 5, 4, 5, 5, 2, 5, 3, 5, 4, 3, 2, 5, 3, 4, 5, 3, 5, 3, 5, 4, 3, 4, 4, 2, 4, 4, 2, 5, 3, 3, 4, 3, 4, 4, 4, 5, 2, 4, 3, 4, 3, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 3, 1, 5, 2, 3, 4, 5, 3, 4, 5, 3, 4, 4, 3, 5, 5, 4, 5, 3, 4, 5, 2, 3, 5, 4, 3, 3, 5, 3, 3, 3, 5, 2, 4, 5, 4, 4, 4, 5, 5, 2, 4, 3, 4, 4, 3, 3, 1, 4, 4, 3, 2, 5, 5, 4, 4, 3, 2, 3, 2, 2, 4, 2, 5, 4, 4, 3, 5, 4, 2, 4, 4, 5, 3, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 2, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 3, 4, 2, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2], "4128": [4, 4, 5, 4, 5, 4, 3, 4, 3, 3, 2, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 3, 5, 3, 3, 5, 3, 4, 5, 4, 5, 3, 3, 5, 3, 5, 1, 5, 5, 5, 4, 5], "5149": [4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 3, 5, 2, 4, 3, 3, 5, 5], "131": [5, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 2, 4, 5, 2, 4, 1, 4, 5, 3, 3, 5, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 1, 3, 5, 4, 4, 4, 3, 4, 5, 2, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 1, 3, 4, 2, 5, 3, 4, 2, 2, 4, 3, 4, 4, 2, 4, 3, 5, 2, 1, 2, 2, 4, 4, 2, 4, 3, 3, 2, 4, 4, 4, 5, 3, 5, 4, 2, 3, 1, 3, 3, 2, 2, 2, 3, 4, 2, 4, 2, 1, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 1, 4, 5, 5, 4, 2, 3, 4, 4, 2, 1, 5, 3, 4, 5, 1, 4, 4, 2, 4, 4, 4, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 1, 2, 4, 1, 3, 3, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 1, 3, 2, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4, 5, 4, 4, 3, 4, 5, 2, 4, 5, 4, 3, 1, 4, 1, 5, 4, 4, 1, 2, 4, 4, 4, 4, 4, 1, 3, 5, 3, 3, 3, 5, 5, 2, 4, 3, 3, 4, 3, 4, 4, 2, 4, 4, 2, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 2], "3997": [5, 5, 5, 2, 4, 4, 3, 5, 5, 3, 4, 2, 3, 3, 3, 5, 5, 4, 5, 3, 3, 5, 3, 4, 5, 1, 4, 3, 3, 5, 2, 4, 3, 5, 4, 3, 2, 3, 5, 5, 5, 3, 4, 4, 4, 4, 3, 2, 3, 2, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 3, 2, 3, 4, 3, 2, 4, 3, 4, 2, 5, 5, 5, 3, 3, 4, 3, 5, 4, 5, 2, 3, 2, 2, 4, 4, 5, 4, 3, 5, 5, 3, 4, 5, 5, 4, 3, 5, 5, 5, 4, 3, 4, 4, 2, 3, 3, 5, 3, 4, 5, 4, 2, 3, 2, 5, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 2, 3, 4, 3, 2, 3, 3, 4, 2, 5, 3, 2, 2, 4, 4, 2, 5, 2, 4, 5, 4, 5, 3, 5, 2, 5, 2, 3, 4, 2, 3, 3, 4, 1, 4, 5, 4, 3, 5, 5, 5, 4, 5, 2, 4, 4, 3, 3, 4, 2, 5, 4, 1, 5, 2, 3, 5, 3, 5, 4, 3, 5, 4, 5, 3, 4, 3, 3, 3, 3, 5, 5, 4, 3, 4, 2, 3, 4, 5, 5, 3, 5, 5, 3, 4, 5, 2, 3, 5, 5, 2, 5, 3, 3, 4, 1, 3, 4, 3, 4, 2, 4, 1, 1, 5, 2, 4, 2, 5, 5, 3, 4, 3, 5, 1, 2, 4, 2, 5, 5, 2, 4, 3, 4, 3, 4, 5, 5, 5, 5, 2, 3], "3317": [5, 5, 5, 1, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 2, 5, 4, 5, 4, 4, 5, 5, 3, 3, 5, 4, 5, 5, 3, 2, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 5, 4, 2, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 1, 4, 3, 3, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3], "1373": [3, 4, 5, 5, 5, 5, 4, 5, 2, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 2, 2, 4, 4, 2, 5, 4, 4, 2, 4, 4, 4, 4, 1, 4, 3, 4, 3, 4, 3, 3, 5, 3, 5, 5, 4, 4, 4, 2, 4, 3, 4, 4, 5, 5, 2, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3], "2007": [2, 4, 2, 3, 5, 4, 5, 5, 3, 5, 5, 3, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 2, 5, 2, 4, 1, 3, 3, 4, 5, 4, 4, 5, 4], "1806": [4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 2, 5, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5], "5813": [4, 4, 3, 5, 4, 5, 5, 2, 5, 4, 5, 4, 5, 4, 3, 2, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 5, 4, 4, 1, 5, 4, 3, 4, 1, 3, 4, 4, 3, 3, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4], "3669": [3, 1, 3, 1, 2, 2, 5, 4, 1, 3, 4, 4, 5, 4, 3, 2, 5, 2, 2, 4, 4, 3, 5, 2, 4, 5, 5, 5, 5, 4, 2, 2, 5, 4, 4, 3, 4, 4, 2, 3, 5, 5, 3, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 5, 3, 5, 1, 4, 3, 4, 3, 3, 4, 3, 1, 4, 4, 5, 2, 4, 1, 2, 3, 2, 3, 1, 3, 4, 2, 3, 2, 5, 3, 5, 3, 3, 3, 3, 4, 3, 2, 4, 5, 1, 5, 3, 3, 2, 4, 4, 3, 5, 2, 1, 2, 4, 4, 3, 3, 5, 3, 2, 2, 1, 4, 4, 2, 5, 3, 5, 5, 5, 2, 1, 1, 2, 3, 5, 4, 2, 2, 1, 4, 3, 4, 1, 4, 2, 1, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 3, 3, 5, 5, 3, 3, 1, 1, 1, 1, 4, 3, 5, 4, 5, 2, 5, 4, 3, 2, 1, 3, 5, 3, 5, 3, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 1, 3, 5, 5, 5, 5, 3, 3, 3, 2, 3, 1, 3, 3, 3, 2, 3, 5, 2, 1, 3, 1, 3, 5, 5, 4, 1, 1, 2, 1, 3, 2, 3, 5, 4, 5, 4, 3, 2, 4, 2, 2, 3, 5, 2, 2, 3, 2, 2, 5, 2, 1, 1, 3, 5, 3, 1, 2, 3, 3, 2, 4, 5, 2, 1, 2, 4, 3, 3, 3, 2, 4, 4, 5, 4, 5, 4, 3, 5, 2, 5, 3, 5, 1, 4, 2, 4, 2, 3, 2, 3, 4, 3, 1, 5, 2, 4, 3, 2, 4, 4, 1, 4, 4, 1, 4, 4, 3, 3, 2, 2, 4, 5, 1, 4, 4, 1, 4, 3, 2, 5, 5, 5, 1, 4, 5, 5, 2, 4, 5, 4, 3, 3, 2, 3, 5, 3, 4, 3, 4, 5, 3, 4, 2, 2, 1, 4, 3, 4, 5, 1, 3, 4, 2, 5, 2], "1827": [3, 4, 3, 4, 3, 5, 3, 5, 2, 4, 1, 1, 5, 5, 1, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 1, 5, 4, 3, 4, 2, 5, 2], "5242": [5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 1, 2, 5, 2, 5, 5, 4, 5, 3, 1, 1, 3, 3, 3, 1, 4, 4, 4, 2, 1, 5, 4, 2, 3, 4, 4, 4, 1, 5, 1, 1, 3, 2, 5, 5, 2, 1, 1, 3, 4, 3, 4, 4, 4, 1], "3519": [3, 3, 3, 1, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 2, 2, 1, 3, 4, 1, 2, 2, 5, 3, 2, 4, 5, 3, 4, 2, 3, 4, 5, 3, 5, 2, 3, 5, 1, 4, 5, 4, 3, 2, 4, 4, 2, 3, 4, 2, 2, 2, 2, 3, 2, 5, 3, 5, 2, 4, 3, 5, 4, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 1, 2, 4, 2, 3, 4, 4, 3, 4, 2, 2, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 3, 4, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 5, 2, 3, 1, 3, 1, 3, 4, 3, 3, 2, 3, 3, 5, 2, 4, 2, 2, 3, 2, 3, 3, 5, 3, 2, 2, 3, 3, 4, 3, 1, 3, 5, 2, 1, 3, 5, 3, 3, 3, 4, 4, 3, 3, 1, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 3, 3, 2, 1, 2, 4, 3, 5, 3, 3, 5, 3, 5, 3, 3, 2, 2, 2, 4, 3, 2, 3, 3, 3, 4, 2, 4, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 4, 3, 3, 4, 4, 2, 3, 2, 4, 2, 2, 4, 4, 2, 2, 3, 5, 2, 2, 2, 2, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 3, 2, 3, 4, 5, 2, 5, 5, 2, 2, 3, 5, 4, 3, 3, 2, 3, 2, 1, 3, 4, 3, 2, 4, 5, 3, 3, 1, 4, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 2, 5, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 3, 4, 5, 3, 3, 1, 3, 3, 3, 3, 3, 2, 4, 4, 2, 2, 3, 4, 1, 3, 3, 3, 5, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 4, 5, 3, 2, 3, 4, 5, 2, 5, 3, 3, 4, 2, 3, 3, 3, 2, 5, 2, 4, 2, 2, 4, 2, 2, 3, 2, 3, 3, 2, 2, 2, 4, 1, 3, 2, 3, 2, 1, 4, 3, 3, 4, 4, 3, 5, 5, 1, 1, 2, 4, 4, 1, 2, 3, 4, 5, 2, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 2, 3, 2, 1, 1, 3, 3, 2, 2, 3, 5, 2, 3, 4, 2, 3, 3, 5, 3, 3, 3, 4, 4, 2, 3, 2, 2, 4, 5, 5, 3, 3, 3, 3, 2, 4, 4, 3, 5, 3, 3, 3, 2, 4, 3, 4, 5, 5, 4, 5, 4, 2, 1, 3, 3, 5, 1, 3, 2, 1, 2, 3, 3, 1, 3, 4, 3, 3, 2, 4, 1, 3, 3, 1, 2, 4, 1, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 1, 5, 1, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 5, 3, 4, 2, 3, 2, 2, 3, 3, 3, 3, 3, 5, 3, 4, 3, 2, 3, 3, 5], "4692": [3, 5, 5, 3, 4, 3, 4, 3, 1, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 3, 5, 4], "2756": [3, 3, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 4, 4, 2, 3, 3, 3, 5, 3, 4, 4, 4, 5, 4, 5, 2, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 1, 4, 2, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 3, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 2, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 2, 4, 3, 5, 4, 5, 4, 3, 4, 5, 4, 2, 3, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 4, 3, 3, 5, 4, 2, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 2, 3, 5, 5, 5, 3, 2, 5, 4, 4, 3, 2, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 2, 4, 4, 4, 4, 4, 4, 2], "1800": [4, 5, 4, 3, 4, 4, 5, 3, 4, 3, 5, 4, 3, 4, 5, 5, 3, 3, 4, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 1, 3, 5, 4, 5, 1, 5, 4, 1, 2, 3, 5, 5, 4, 1, 3, 1, 3, 3, 5, 3, 5, 5, 3, 1, 3, 5, 1, 4, 5, 4, 5, 3, 3, 2, 4, 3, 2, 4, 5, 4, 1, 4, 3, 3, 5, 5, 4, 5, 4, 2, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 3, 5, 3, 5, 5, 2, 2, 2, 5, 4, 3, 4, 5, 4, 4, 2, 5, 4, 4, 3, 3, 1, 3, 1, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 4, 2, 2, 2, 5, 3, 3, 1, 4, 5, 1, 3, 3, 1, 3, 4, 5, 5, 5, 2, 5, 2, 4, 3, 4, 4, 5, 3, 3, 3, 4, 4, 4, 2, 3, 5, 3, 4, 2, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 2, 5, 5, 3, 1], "1886": [4, 5, 4, 2, 4, 5, 3, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5], "3413": [5, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 1, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 2, 5, 5, 5, 3, 5, 2, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 2, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 2, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4], "5982": [4, 4, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 2, 4, 4, 4, 3, 5, 4, 4, 3, 3, 5, 3, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 2, 3, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 2, 5, 3, 4, 4, 4, 3, 4, 5, 3, 2, 5, 4, 3, 4, 4, 4, 4, 3], "2532": [5, 4, 3, 5, 3, 5, 4, 3, 5, 5, 5, 3, 3, 3, 3, 5, 4, 3, 5, 4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 3, 4], "5170": [5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3], "2711": [3, 4, 3, 3, 1, 1, 1, 4, 4, 3, 2, 2, 2, 2, 2, 3, 4, 2, 1, 3, 2, 3, 1, 2, 4, 3, 2, 2, 4, 3, 4, 1, 2, 2, 4, 4, 1], "2243": [5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 1, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 4, 5], "5121": [4, 2, 4, 4, 3, 3, 2, 4, 2, 4, 4, 3, 2, 4, 2, 2, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 2, 3, 3, 4, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 5, 1, 4, 4, 5, 3, 4, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 2, 3, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 1, 4, 3, 2, 4, 1, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 3, 4, 5, 2, 3], "2896": [3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 5, 3, 3, 2, 4, 5, 3, 2, 4, 5, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 5, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 1, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 4, 5, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 5, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 3, 4, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 3, 3], "3892": [3, 5, 4, 4, 2, 5, 2, 3, 5, 5, 4, 5, 3, 3, 2, 4, 4, 5, 5, 3, 3, 5, 5, 4, 3, 3, 4, 3, 2, 4, 5, 4, 5, 4, 3, 3, 4, 3, 5, 5, 3, 4, 4, 2, 4, 5, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 4, 1, 5, 5, 5, 4, 3, 1, 4, 4, 5, 3, 4, 2, 2, 5, 4, 4, 2, 4, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 3, 2, 4, 2, 2, 2, 4, 3, 3, 5, 3, 4, 4, 1, 4, 3, 2, 3, 5, 4, 4, 3, 2, 4, 3, 3, 5, 4, 2, 1, 4, 4, 4, 1, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 2, 1, 2, 3, 4, 4, 3, 3, 2, 4, 3, 1, 3, 4, 3, 4, 2, 4, 1, 4, 4, 2, 2, 4, 3, 5, 3, 3, 4, 4, 3, 5, 4, 5, 2, 4, 2, 3, 2, 3, 4, 4, 2, 3, 5, 3, 2, 4, 4, 4, 2, 3, 4, 2, 4, 3, 5, 4, 4, 5, 4, 4, 3, 3, 3, 5, 3, 2, 3, 2, 5, 2, 5, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 2, 4, 3, 3, 4, 3, 3, 4, 4, 5, 5, 4, 1, 3, 1, 4, 4, 4, 4, 3, 4, 2, 3, 4, 3, 5, 3, 4, 4, 2, 4, 2, 3, 3, 4, 2, 5, 3, 4, 2, 3, 2, 2, 5, 4, 1, 2, 2, 5, 3, 4, 4, 4, 4, 2, 1, 3, 3, 2, 3, 3, 4, 5, 3, 2, 3, 2, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 5, 3, 2, 3, 4, 4, 4, 4, 3, 5, 3, 3, 2, 1, 5, 2, 3, 1, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 1, 4, 4, 4, 1, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 2, 2, 5, 3, 2, 1, 4, 5, 3, 3, 3, 4, 5, 2, 1, 4, 5, 4, 3, 3, 4, 5, 3, 3, 5, 4, 3, 4, 4, 4, 3, 3, 1, 3, 4, 4, 5, 5, 5, 3, 2, 2, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 1, 1, 5, 2, 3, 2, 4, 4, 5, 3], "3558": [5, 3, 3, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 1, 5, 5, 5, 3, 5, 5, 4, 4, 1, 3, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 4, 4, 3, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 3, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 4, 4, 5, 2, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 3, 1, 5, 5, 5, 5, 4, 5, 4, 4, 1, 1, 3, 5, 5, 4, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 4, 2, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 3, 4, 5, 3, 4], "4197": [5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 5, 5, 3], "1932": [4, 3, 4, 5, 2, 3, 4, 4, 1, 4, 4, 4, 3, 5, 3, 1, 4, 4, 1, 3, 4, 2, 4, 5, 5, 4, 5, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 5, 2, 3, 5, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 5, 4], "1774": [3, 4, 3, 3, 1, 4, 3, 5, 2, 1, 4, 3, 3, 4, 4, 3, 5, 2, 4, 2, 3, 3, 3, 4, 4, 2, 5], "522": [4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 5, 5, 5, 2, 5, 4, 2, 3, 3, 4, 5, 5, 5, 2, 5, 3, 3, 4, 5, 5, 4, 4, 4, 2, 4, 4, 3, 5, 5, 3, 3, 5, 5, 4, 5, 5, 2], "3602": [4, 4, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 4, 3, 4, 3, 4, 3, 1, 5, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4], "2571": [5, 5, 4, 3, 5, 3, 4, 5, 3, 4, 5, 2, 3, 4, 3, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 3, 1, 3, 5], "5298": [2, 5, 3, 1, 2, 3, 5, 5, 5, 5, 3, 3, 4, 5, 1, 2, 5, 1, 1, 1, 3, 5, 1, 1, 5, 1, 5, 1, 4, 4, 3, 1, 1, 1, 3, 5, 4, 4, 1, 4, 1, 2, 2, 5, 4, 4, 5, 3, 2], "789": [3, 4, 4, 3, 3, 4, 1, 4, 4, 3, 2, 5, 3, 4, 5, 5, 3, 3, 5, 5, 5, 1, 2, 2, 3, 4, 3, 1, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3], "884": [4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 2, 5, 5, 4, 5, 3, 3, 5, 5, 2, 5, 5, 5, 3, 5, 4, 2, 5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 2, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 3, 2, 2, 3, 2, 1, 4, 5, 2, 5, 3, 5, 5, 5, 5, 4, 5], "2631": [5, 5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 2, 3, 4, 4, 5, 5, 1, 4, 4, 4, 5, 5, 2, 5, 4, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 1, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 2, 5, 4, 4, 4, 4, 3, 4], "2819": [3, 3, 5, 3, 3, 5, 4], "215": [4, 5, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5], "3273": [3, 4, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 5, 3, 4, 5, 5, 4], "3932": [5, 4, 4, 3, 3, 2, 4, 5, 5, 5, 2, 3, 2, 4, 5, 3, 4, 5, 2, 5, 5, 1, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5], "4585": [4, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 1, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 5, 5, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 2, 5, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 2, 4, 5, 3, 4, 4, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 4, 5, 5, 3, 4, 5, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4, 1, 3, 4], "806": [4, 3, 4, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 2], "2283": [2, 3, 5, 3, 4, 2, 2, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 2], "2590": [5, 3, 1, 2, 3, 3, 5, 4, 3, 5, 3, 4, 5, 4, 3, 1, 3, 1, 3, 4, 4, 1, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 1, 4, 3, 3, 5, 3, 4, 4, 4, 3, 2, 2, 5, 4, 3, 3, 1, 2, 2, 4, 3, 2, 5, 4, 4, 5, 3, 4, 3, 4, 4, 2, 4, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 2, 4, 1, 3, 2, 4, 1, 3, 2, 5, 5, 3, 1, 3, 2, 2, 2, 2, 2, 4, 3, 3, 3, 4, 3, 3, 2, 1, 4, 4, 3, 3, 2, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 2, 2, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 4, 5, 1, 3, 3, 3, 2, 4, 2, 5, 2, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 2, 1, 2, 4, 2, 4, 5, 3, 2, 4, 4, 3, 2, 4, 3, 4, 3, 2, 4, 4, 3, 2, 3, 1, 2, 2, 3, 4, 2, 3, 3, 4, 2, 3, 3, 4, 4, 4, 2, 5, 2, 4, 4, 3, 3, 2, 4, 2, 2, 3, 3, 3, 3, 3, 4, 5, 3, 1, 5, 3, 2, 1, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 4, 2, 2, 4, 3, 1, 5, 3, 3, 3, 5, 3, 2, 4, 2, 3, 5, 4, 5, 1, 5, 5, 5, 4, 5, 3, 3, 2, 4, 5, 5, 4, 3, 3, 2], "5583": [5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 3, 2, 3, 5, 5, 3, 5, 3, 4, 5, 4, 2, 3, 4, 3, 4, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 5, 5, 3, 5, 5, 5, 3, 2, 2, 3, 3, 5, 5, 4], "4015": [3, 3, 3, 3, 4, 3, 3, 5, 4, 4, 1, 3, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 5, 4, 3, 3, 4, 3, 5, 3, 3, 3, 3, 3, 5, 5, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4], "4835": [2, 4, 5, 3, 4, 5, 5, 5, 3, 5, 3, 3, 5, 3, 3, 5, 5, 4, 3, 3, 3, 4, 5, 4, 3, 4, 3, 2, 5, 4, 4, 4, 2, 4, 5, 3, 5, 3, 4, 5, 3, 5, 4, 4, 4, 4, 2, 1, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 4, 4, 4], "3174": [4, 4, 3, 5, 5, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5, 2, 4, 3, 4, 4, 3, 5, 4, 5, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 2, 4, 3, 3, 5, 3, 3, 4, 4], "4858": [5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 2, 1, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], "4654": [3, 2, 5, 5, 5, 5, 4, 4, 5, 4, 1, 4, 4, 4, 5, 5, 2, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 5, 3, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 2, 5, 4, 5, 5, 5, 3, 3, 4, 3, 5, 5, 3, 5, 4, 3, 3, 5, 3, 4, 4], "3782": [5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5], "363": [5, 4, 3, 3, 3, 4, 4, 1, 5, 4, 3, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 5, 4, 5], "118": [4, 4, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 3, 3, 4, 5, 2, 4, 4, 5, 3, 5, 3, 5, 4, 4, 4, 5, 5, 4, 3, 2, 4, 4, 3, 5, 3, 5, 3, 3, 4, 4, 2, 3, 5, 4, 3, 4, 4, 4, 2, 5, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 5, 3, 3, 4, 3, 4, 3, 4, 1, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 5, 5, 5, 1, 5, 5, 3, 5, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 2, 3, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 4, 5, 3, 4, 3, 3, 3, 5, 5, 3, 3, 5, 4, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3], "1848": [4, 4, 3, 4, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4], "279": [3, 3, 2, 4, 2, 4, 2, 1, 4, 3, 2, 2, 1, 4, 1, 3, 2, 2, 4, 2, 4, 5, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 4, 4, 1, 4, 5, 4, 2, 4, 3, 2, 3], "2495": [3, 4, 4, 3, 2, 4, 5, 3, 1, 5, 2, 3, 5, 4, 3, 3, 3, 4, 4, 5, 5], "3604": [4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3], "5389": [3, 5, 3, 2, 4, 4, 4, 3, 4, 3, 4, 2, 4, 5, 5, 4, 3, 2, 2, 2, 4, 2, 3, 3, 4, 4, 2, 3, 2, 4, 3, 3, 2, 1, 3, 4, 3, 2, 4, 3, 5, 5, 3, 4, 5, 5, 5, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 5, 4, 3, 2, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 1, 5, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 1, 3, 5], "2284": [4, 5, 5, 4, 5, 4, 1, 5, 3, 4, 5, 4, 2, 3, 3, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 5, 4, 3, 4, 4, 2, 3, 5, 3, 4, 4, 2, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5], "823": [4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 5, 3, 2, 4, 4, 5, 5, 4, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 3, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4], "3677": [5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 5, 5, 1, 4, 5, 5, 3, 5, 4, 3, 5, 5, 4, 4, 1, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 5, 2, 5, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 3, 5, 3, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 5, 3, 5, 3, 5, 1, 5, 3, 5, 5, 5, 3, 3, 3, 5, 5, 3, 5, 4, 2, 2, 5, 3, 4, 3, 3, 5, 1, 4], "3390": [3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 2, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 2, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 1, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 2, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5], "6027": [2, 2, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 2, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5], "1522": [5, 5, 4, 4, 5, 4, 5, 3, 5, 3, 3, 3, 4, 5, 5, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 5, 2, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 2, 5, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 3], "5524": [4, 3, 5, 4, 5, 2, 4, 5, 4, 4, 1, 4, 5, 4, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 1, 5, 2, 5, 5, 4, 2, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 1, 5, 4, 2, 3, 4, 4, 4, 2, 4, 5, 4, 5, 5, 1, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 3, 4, 4, 4, 2, 4, 3, 5, 3, 2, 5, 3, 5, 4, 4, 1, 5, 3, 1, 4, 1, 4, 4, 5, 5, 4, 1, 4, 5, 4, 1, 4, 1, 5, 1, 2, 5, 4, 5, 1, 3, 5, 5, 1, 3, 5, 5, 5, 3, 4, 4, 3, 5, 3, 2, 3, 5, 4, 4, 2, 4, 5, 4, 2, 4, 5, 1, 5, 1], "4860": [5, 4, 3, 5, 3, 5, 5, 4, 4, 4, 5, 3, 5, 3, 5, 3, 3, 4, 4, 2, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 2, 5], "3400": [4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 5, 3, 5, 5, 4, 3, 1, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 5, 3, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 1, 5, 1, 3, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 3, 5, 4, 5, 3, 5, 4, 2, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 2, 3, 3, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 4, 5, 5, 2, 4, 5, 4, 5, 5, 3, 5, 4, 2, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 2, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5], "3382": [3, 4, 3, 5, 3, 3, 2, 4, 3, 4, 5, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 3, 4, 1], "5606": [3, 2, 5, 4, 3, 4, 3, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 1, 5, 5], "2085": [4, 2, 3, 3, 2, 5, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 2, 5, 3, 2, 5, 4, 3, 3, 3, 3, 4, 1, 3, 5, 5, 3, 4, 5, 2, 4, 5, 5, 3, 2, 5, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 5, 3, 3, 5, 5, 4, 4, 2, 2, 5, 4, 4, 4, 3, 2, 3, 3, 5, 2, 3, 1, 4, 1, 3, 3, 5, 4, 3, 4, 3, 2, 2, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 5, 3, 4, 4, 5, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 2, 3, 2, 4, 1, 5, 3, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 2, 1, 2, 5, 4, 4, 4, 5, 2, 3, 2, 4, 5, 2, 3, 4, 5, 3, 2, 2, 4, 4, 5, 3, 2, 5, 5, 4, 3, 2, 3, 4, 4, 2, 3, 4, 3, 3, 3, 1, 4, 3, 4, 5, 4, 2, 3, 4, 5, 3, 3, 2, 4, 4, 2, 5, 5, 3, 2, 3, 2, 2, 5, 4], "4566": [4, 3, 5, 4, 4, 4, 4, 5, 1, 4, 3, 3, 4, 5, 4, 5, 2, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 1, 5, 3, 2, 4, 2, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 4, 2, 3, 3, 4, 2, 4, 4, 4, 5, 4, 4, 5, 2, 3, 3, 3, 4, 5, 3, 4, 1, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 1, 4, 4, 3, 4, 4, 4, 4, 4, 5, 1, 2, 2, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 5, 5, 3, 3, 2, 3, 4, 5, 5, 4, 3, 4, 3], "3603": [2, 2, 1, 2, 2, 3, 4, 3, 1, 3, 4, 1, 1, 3, 2, 1, 4, 2, 3, 3, 2, 3, 1, 3, 1, 2, 5, 4, 4, 3, 3, 3, 4, 3, 1, 3, 3, 3, 4, 1, 3, 1, 1, 1, 3, 3, 3, 3, 2, 3, 2, 5, 3, 3, 4, 4, 2, 4, 4, 2, 3, 5, 3, 3, 3, 3, 1, 2, 1, 3, 1, 2, 3, 1, 3, 2, 2, 3, 2, 1, 4, 1, 5, 3, 2, 2, 5, 1, 5, 4, 1, 2, 1, 2, 1, 2, 2, 3, 5, 4, 2, 1, 2, 3, 5, 5, 5, 3, 1, 2, 1, 4, 4, 3, 2, 2, 3, 3, 1, 3, 4, 1, 3, 3, 2, 1, 4, 1, 5, 4, 1, 3, 3, 3, 3, 1, 5, 4, 4, 1, 4, 3, 3, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 1, 4, 2, 3, 3, 4, 2, 1, 2, 1, 3, 5, 2, 2, 2, 3, 3, 3, 3, 5, 1, 3, 4, 2, 2, 2, 2, 1, 4, 3, 4, 1, 2, 5, 5, 1, 4, 1, 3, 3, 3, 4, 1, 2, 3, 3, 3, 3, 2, 3, 5, 2, 4, 2, 2, 4, 1, 4, 5, 3, 4, 3, 3, 3, 4, 4, 1, 4, 2, 5, 4, 4, 2, 3, 1, 3, 3, 4, 3, 2, 2, 3, 1, 3, 3, 5, 2, 1, 1, 3, 3, 2, 2, 5, 2, 4, 3, 1, 3, 2, 3, 3, 1, 4, 1, 3, 3, 4, 2, 3, 2, 5], "3247": [3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 4, 5, 3], "6003": [4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 2, 4, 5, 2, 3, 5, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 3, 4, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 3, 1, 5, 5, 4, 4, 2, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 4, 4, 2, 5, 3, 2, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 2, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 2, 5, 5, 5, 5, 5, 4, 3, 4, 5, 3, 3, 4, 1, 5, 5, 5, 4, 5, 1, 1, 4, 5, 4, 4, 2, 3, 4, 2, 3, 5, 3, 5, 2, 5, 3, 5, 2, 4, 5, 3, 4, 3, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 2, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 4, 4, 5, 4, 5, 3, 5, 5, 5, 2, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4], "2207": [5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 5, 4], "2581": [4, 5, 5, 2, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 2, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 2, 4, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 3, 5, 3, 4, 4, 3, 5, 1, 5, 5, 2, 5, 3, 5, 5, 5, 4, 2, 5, 3, 2, 4, 1, 5, 4, 5, 1, 3, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 2, 2, 5, 3, 2, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 2, 5, 3, 5, 5, 4, 5, 4, 3, 4, 5, 4, 2, 5, 5, 4, 4, 4, 4, 2, 4, 4, 5, 5, 3, 2, 4, 4, 5, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 3, 3, 3, 5, 2, 5, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 4, 1, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 2, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 1, 1, 2, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 2, 4, 5, 4, 5, 2, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 2, 5, 4, 2, 5, 2, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 5, 2, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 2, 5, 5, 3, 3, 3, 2, 5, 3, 2, 5], "4002": [3, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 5, 2, 4, 5, 4, 5, 2, 2, 3, 4, 5, 4, 4, 2, 5, 3, 5, 3, 4, 3, 3, 3, 4, 5, 3, 5, 3, 4, 4, 3], "3232": [3, 4, 4, 4, 2, 2, 4, 3, 4, 3, 2, 2, 3, 3, 3, 4, 2, 3, 2, 2, 4, 4, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 4], "4346": [3, 4, 4, 3, 3, 3, 3, 1, 5, 4, 3, 4, 4, 2, 4, 3, 5, 4, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 2, 4, 4, 4, 3, 3, 4, 5, 2, 3, 4, 4], "3826": [5, 3, 4, 4, 3, 1, 4, 4, 5, 4, 3, 4, 4, 5, 3, 5, 5, 4, 3], "5458": [5, 5, 4, 5, 4, 4, 3, 3, 4, 3, 2, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 2, 5, 1, 4, 4, 3, 2, 5, 1, 4, 5, 5, 3, 5, 3, 5, 5, 4, 4, 3, 3, 5, 4, 4, 5, 5, 5, 3, 4, 2, 5, 4, 3, 4, 5, 4, 3, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 3, 2, 3, 4, 3, 1, 2, 5, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 5, 2, 3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 2, 5, 3, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 3, 4, 3, 2, 5, 3, 4, 3, 3, 4, 4, 3, 3, 4, 2, 4, 1, 5, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 3, 4, 1, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 3, 5, 5, 1, 4, 3, 3, 3, 5, 4, 3, 4, 3, 3, 2, 4, 4, 5, 3, 4, 4, 3, 4, 3, 3, 5], "3001": [5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 4, 4, 3, 4, 3, 3, 5, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 2, 4, 4, 3, 5, 2, 4, 3, 3, 3, 5, 5, 5, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 5, 3, 1, 5, 4, 3, 2, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 2, 5, 4, 1, 4, 5, 4, 4, 5, 4, 4, 3, 1, 5, 4, 2, 4, 4, 4, 5, 5, 3, 4, 1, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 2, 4, 4, 5, 5, 5, 5, 5, 4, 4, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 1, 4, 4, 5, 5, 5, 5, 4], "5523": [3, 4, 5, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 1, 5, 3, 3, 3, 4, 4, 3, 3, 4, 2, 2, 4, 4, 4, 3, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 2, 2, 5, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 2, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 5, 3, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 3, 3, 5, 3, 4, 5, 4, 2, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 5, 4, 5, 5, 3, 2, 1, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 4, 4, 5, 2, 4, 2, 5, 4, 3, 5, 3, 4, 3, 5, 4, 5, 4, 3, 5, 4, 3, 3, 4, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 5, 3, 2, 4, 4, 4, 3, 4, 3, 3, 3, 5, 5, 5, 3, 4, 5, 5, 4, 3, 3, 5, 4, 3, 3, 5, 5, 4, 4, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 4, 3], "120": [5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 5, 5, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 3, 3, 5, 3, 1, 1, 5, 4, 4, 4, 5, 2, 3, 4, 5, 4, 3, 5, 2, 1, 4, 5, 3, 3, 3, 2, 3, 4, 4], "4587": [3, 3, 4, 5, 3, 4, 4, 1, 4, 2, 4, 4, 3, 3, 2], "112": [4, 5, 5, 2, 5, 4, 5, 5, 5, 5, 3, 3, 5, 4, 1, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 1, 5, 4, 4, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 5, 3, 4, 3, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3], "3442": [4, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 5, 4, 3, 3, 4, 5, 4, 1, 3, 3, 4, 2, 5, 1, 2, 2, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 4, 4, 5, 3, 4, 4, 5, 3, 5, 2, 2, 3, 2, 3, 3, 4, 3, 5, 3, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 3, 1, 3, 2, 4, 3, 4, 3, 3, 4, 3, 2, 2, 3, 5, 5, 3, 2, 4, 2, 4, 3, 3, 2, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 5, 5, 5, 3, 4, 4, 1, 3, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 3, 4, 5, 3, 4, 3, 4, 4, 2, 3, 4, 3, 2], "1964": [3, 2, 5, 5, 5, 4, 5, 2, 5, 3, 3, 4, 2, 4, 2, 4, 4], "2186": [3, 3, 1, 2, 1, 3, 3, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 4, 5, 3, 2, 5, 2, 3, 3, 5, 3, 3, 4, 5, 4, 4, 2, 4, 1, 5, 3, 5, 1, 3, 4, 4, 5, 2, 4, 3, 3, 3, 5, 2, 3, 3, 2, 2, 2, 2, 3, 2, 4, 3, 4, 2, 3, 3, 3, 4, 1, 4, 1, 3, 4, 1, 3, 4, 4, 2, 2, 5, 3, 2, 2, 1, 5, 4, 3, 4, 3, 3, 3, 2, 2, 5, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 4, 5, 2, 4, 3, 5, 4, 5, 3, 1, 3, 3, 5, 3, 3, 5, 3, 2, 5, 2, 3, 5, 3, 1, 3, 5, 4, 3, 4, 2, 5, 4, 5, 2, 5, 5, 2, 5, 2, 4, 4, 2, 5, 2, 3, 5, 2, 4, 4, 3, 4, 3, 3, 5, 3, 2, 2, 4, 5, 4, 4, 3, 3, 4, 2, 4, 5, 3, 4, 3, 3, 5, 4, 5, 3, 5, 4, 2, 3, 3, 5, 3, 3, 4, 5, 3, 4, 5, 3, 3, 3, 1, 4, 3, 4, 5, 4, 3, 1, 3, 5, 5, 2, 4, 4, 5, 3, 4, 4, 2, 3, 5, 4, 5, 5, 5, 3, 2, 4, 3, 5, 5, 2, 2, 3, 4, 5, 5, 3, 4, 4, 3, 3, 2, 1, 4, 3, 4, 2], "5917": [4, 2, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 4, 3, 2, 5, 3, 5, 5, 5, 1, 3, 4, 5, 2, 3, 4, 5, 3, 4, 3, 5, 5, 3, 3, 3, 2, 4, 5, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 5, 2, 3, 4, 3, 5, 4, 4, 2, 2, 5, 3, 5, 1, 4, 5, 4, 4, 3, 3, 4, 5, 2, 4, 3, 4, 4, 4, 2, 5, 2, 2, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 3, 3, 4, 5, 3, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 5, 2, 5, 5, 5, 3, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 5, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 4, 3, 2, 5, 4, 5, 3, 3, 4, 3, 5, 1, 5], "3316": [4, 5, 5, 3, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4], "4136": [5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5], "3234": [2, 5, 5, 4, 5, 3, 5, 5, 5, 1, 4, 4, 4, 3, 5, 4, 3, 3, 3, 4, 4], "2350": [4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 2, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], "4301": [4, 4, 2, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 1, 5, 4, 4, 4, 2, 5, 4, 4, 4, 5, 2, 5, 2], "3309": [4, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 3, 3, 2, 5, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 2, 5, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 4, 4, 3, 5, 3, 5, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 1, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 2, 5, 3, 3, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 3, 3, 5, 4, 3, 2], "5635": [3, 4, 5, 2, 4, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 5, 3, 3, 4, 3, 3, 4, 4], "5712": [5, 5, 4, 3, 2, 2, 3, 3, 3, 5, 4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 1, 5, 3, 2, 1, 3, 3, 5, 2, 3, 5, 3, 2, 2, 4, 4, 3, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 2, 5, 2, 5, 3, 2, 4, 4, 4, 5, 4], "4937": [5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 2, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 3, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 2, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4], "81": [5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 4, 1, 3, 5, 5, 5, 5, 5, 4, 1, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 4, 5, 4, 5, 5, 4, 5], "380": [4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 5, 2, 3, 5, 4, 4, 5, 4, 3, 3, 4, 5, 5, 2, 4, 5, 3, 4, 5, 5, 1, 3, 5, 5, 4, 4, 5, 4, 1, 2, 4, 2, 3, 5, 4, 4, 5, 5, 2, 3, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 2, 3, 5, 5, 5, 5, 5], "184": [5, 3, 3, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 1, 5, 4, 3, 1, 4, 4, 2, 3, 5, 5, 5, 5, 3, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 5, 3, 2, 4, 5, 5, 5, 3, 3, 5, 4, 3, 3, 4, 4, 2, 5, 5, 5, 3, 5, 3], "2080": [3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 1, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5], "1667": [4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 2, 5, 4, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 1, 5, 3, 5, 4, 5, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 5, 4, 1, 2, 4, 2, 4, 4, 4, 3, 2, 1, 3, 3, 2, 4, 4, 4, 3, 2, 1, 4, 3, 3, 3, 3, 2, 2, 3, 3, 4, 5, 4, 3, 3, 2, 4, 1, 1, 1, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 4, 3, 3, 3, 3, 5, 3, 3, 2, 3, 5, 1, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 3, 5, 3, 2, 3, 3, 3, 5, 3, 4, 3, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 5, 3, 1, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 2, 4, 3, 4, 2, 3, 2, 5, 3, 3, 3, 4, 4, 2, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 1, 4, 2, 3, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 2, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 4, 4, 2, 5, 4, 4, 4, 4, 4, 4, 2, 3, 2, 3, 3, 3, 4, 4, 4, 1, 4, 3, 5, 3, 4, 4, 3, 5, 4, 5, 3, 3, 2, 2, 3, 3, 5, 4, 5, 3, 4, 5, 4, 5, 4, 3, 2, 2, 2, 4, 2, 4, 4, 2], "2716": [3, 5, 4, 5, 5, 4, 5, 4, 3, 2, 5, 5, 5, 5, 3, 4, 4, 1, 4, 3, 4, 3, 3], "1211": [3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 5, 3, 5, 4, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 1, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 5, 2, 3, 5, 5, 1, 5, 1, 1, 3, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 4, 2, 4, 4, 2, 5, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 1, 3, 5, 3, 1, 4, 3, 5, 4, 3, 5, 5, 4, 4, 3, 5, 2, 3, 5, 5, 1, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 3, 1, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 2, 5, 3, 5, 4, 4, 1, 5, 4, 3, 3, 3, 3, 4, 4, 5, 3, 5, 5, 5, 3, 3, 4, 4, 2, 4, 1, 5, 2, 5, 5, 5, 3, 5, 5, 4, 5, 1, 5, 4, 3, 1, 5, 2, 5, 5, 2, 2, 4, 5, 4, 4, 3, 5, 4, 5, 3, 1, 1, 2, 1, 3, 4, 5, 3, 4, 2, 4, 5, 5, 3, 1, 5, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 3, 2, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 1, 5, 5, 4, 1, 1, 3, 1, 2, 3, 4, 5, 2, 3, 3, 4, 5, 3, 4, 3, 4, 5, 2, 5, 5, 5, 5, 3, 3, 5, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 1, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 2, 4, 4, 3, 5, 4, 3, 3, 3, 5, 3, 3], "5501": [2, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 5, 2, 3, 2, 1, 4, 5, 2, 2, 1, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 2, 2, 3, 4, 1, 2, 4, 3, 4, 4, 5, 1, 4, 3, 3, 5, 3, 4, 5, 3, 3, 3, 3, 3, 5, 4, 3, 3, 1, 2, 5, 4, 5, 1, 3, 1, 3, 4, 3, 1, 5, 4, 2, 3, 1, 5, 1, 2, 3, 2, 3, 3, 1, 4, 3, 3, 3, 4, 3, 5, 1, 1, 3, 1, 3, 4, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 2, 4, 5, 3, 4, 1, 5, 3, 1, 4, 1, 1, 1, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 1, 1, 1, 4, 4, 4, 3, 4, 4, 2, 4, 1, 3, 3, 2, 3, 3, 2, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 3, 3, 1, 5, 5, 3, 4, 4, 5, 3, 3, 3, 4, 2, 5, 3, 4, 5, 3, 2, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 2, 4, 5, 4, 4, 2, 4, 4, 2, 4, 4, 3, 2, 4, 3, 2, 2, 1, 4, 1, 3, 1, 2, 4, 4, 4, 4, 4, 5, 2, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 1, 3, 1, 3, 3, 4, 3, 2, 4, 3, 1, 2, 1, 2, 4, 4, 3, 4, 1, 1, 2, 2, 4, 2, 2, 2, 2, 2, 4, 1, 2, 2, 3, 5, 2, 3, 3, 5, 3, 3, 1, 2, 3, 1, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 1, 4, 4, 2, 3, 1, 4, 1, 3, 2, 4, 3, 3, 3, 1, 5, 2, 4, 4, 5, 4, 4, 1, 1, 3, 3, 1, 4, 3, 4, 3, 2, 2, 4, 3, 3, 1, 3, 3, 4, 4, 4, 4, 3, 2, 2, 1, 4, 3, 4, 3, 5, 3, 1, 1, 1, 4, 1, 2, 4, 1, 3, 3, 2, 3, 4, 4, 5, 3, 4, 4, 2, 1, 3, 4, 1, 2, 3, 2, 4, 1, 5, 4, 3, 4, 3, 1, 1, 1, 4, 3, 3, 4, 4, 3, 4, 3, 3, 5, 2, 4, 3, 4, 3, 4, 5, 4, 3, 2, 2, 4, 3, 4, 4, 4, 4, 1, 3], "4234": [3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 5, 3, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 2, 3, 5, 2, 4, 3, 1, 5, 4, 3, 5, 3], "1967": [5, 3, 2, 4, 4, 4, 4, 2], "4393": [4, 5, 4, 5, 5, 5, 2, 4, 5, 5, 4, 4, 4, 1], "4026": [3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 2, 3, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 5, 5, 4, 3, 5, 3, 4, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 5, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 1, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 3, 2, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 2, 5, 4, 5, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 3, 4, 3, 3, 4, 1, 4, 3, 3, 3, 2, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 2, 4, 4, 3, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 3, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 5, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 3], "1614": [5, 3, 5, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 5, 4, 5, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 1, 3, 3, 4, 3, 4], "2357": [5, 4, 4], "2193": [5, 2, 3, 5, 5, 3, 2], "2152": [4, 3, 5, 4, 4, 4, 2, 4, 4, 4, 3], "4242": [3, 3, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 4, 5, 4, 2, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 2, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 2, 4, 5, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 3, 5, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 2, 3, 3, 4, 3, 3, 3, 4, 2, 5, 5, 4, 3, 4, 4, 5], "301": [4, 4, 5, 5, 5, 5, 4, 1, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 5, 3, 4, 5, 5, 2, 5, 5, 5, 5, 4, 4, 3, 5, 5, 2, 5, 5, 5, 4, 5, 3, 3, 5, 4, 2, 2, 3, 5, 2, 5, 3, 5, 3, 5, 4, 4, 5, 5, 3, 2, 5, 4, 3, 5, 4, 4, 1, 3, 5, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 3, 5, 4, 2, 3, 5, 3, 5, 4, 3, 4, 5, 2, 4, 5, 3, 2, 4, 3, 4, 5, 3, 4, 4, 5, 2, 3, 5, 3, 5, 3, 4, 3, 5, 2, 3, 3, 4, 5, 4, 4, 5, 3, 5, 4, 3, 3, 3, 5, 4, 2, 3, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 3, 5, 5, 1, 2, 3, 5, 2, 3, 3, 4, 4, 2, 4, 5, 5, 5, 2, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 3, 5, 2, 4, 3, 4, 3, 5, 5, 4, 5, 2, 1, 3, 5, 3, 5, 4, 5, 5, 3, 3, 3, 5, 5, 5, 2, 4, 2, 4, 3, 2, 3, 5, 2, 4, 4, 3, 4, 5, 5, 1, 3, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 2, 5, 4, 3, 5, 5, 5, 3, 2, 5], "5222": [2, 3, 2, 4, 3, 3, 4, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 2, 2, 1, 4, 4, 4, 5, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 3, 2, 4, 3, 4, 4, 4, 2, 4, 4, 3, 3, 2, 2, 4, 3, 3, 3, 3, 2, 4, 2, 4, 3, 3, 2, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 4, 4, 3, 4, 4, 4, 2, 4, 1, 3, 5, 2, 3, 2, 3, 2, 3, 1, 4, 2, 4, 3, 3, 2, 4, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 1, 4, 3, 3, 4, 3, 3, 2, 5, 4, 1, 3, 4, 2, 3, 3, 2, 3, 3, 3, 2, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 3, 2, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 3, 2, 4, 4, 2, 1, 3, 2, 4, 2, 4, 4, 4, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 3, 1, 4, 3, 5, 2, 5, 4, 4, 4, 3, 2, 4, 4, 3, 2, 3, 4, 3, 4, 2, 3, 4, 4, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 2, 4, 2, 2, 5, 2, 2, 1, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 3, 4, 3, 3, 2, 4, 4, 1, 4, 4, 2, 3, 3, 3, 4, 2], "5617": [3, 3, 3, 3, 4, 4, 4, 2, 1, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 2, 1, 4, 4, 4, 2, 3, 5, 5, 4, 4, 2, 4, 5, 2, 3, 5, 2, 5, 5, 4, 4, 4, 4, 5, 2, 5, 3, 1, 4, 4, 5, 4, 4, 4, 2, 4, 2, 5, 4, 5, 3, 3, 1, 5, 2], "558": [3, 3, 2, 3, 4, 4, 3, 5, 5, 3, 3, 3, 3, 4, 5, 2, 5, 4, 4, 4, 3, 4, 3, 5, 3, 2, 5, 5, 3, 3, 4, 5, 5, 2, 4, 3, 3, 5, 4, 5, 3, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 5, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 2, 3, 2, 3, 4, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 2, 1, 5, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 5, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 2, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 1, 2, 5, 2, 4, 5, 5, 4, 2, 4, 2, 3, 4, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 3, 2, 5, 3, 3, 5, 2, 4, 2, 4, 4, 2, 3, 2, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 5, 3, 2, 5, 5, 5, 5, 3, 3, 5, 3, 4, 5, 3, 4, 4, 4, 4, 5, 3, 2, 4, 5, 3, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 2, 3, 3, 5, 5, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5], "5156": [4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 2, 4, 4, 4, 5, 4, 5, 2, 5, 4, 3, 5, 3, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 3, 5, 4, 1, 5, 3, 4, 3, 5, 5, 4, 2, 5, 3, 5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 2, 5, 3, 3, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 5, 2, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 3, 4, 5, 4, 5, 4, 5, 5, 5], "1790": [3, 3, 5, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 1, 5, 5, 4, 5, 5, 4, 2, 5, 5, 4, 3, 5, 5, 4, 1, 3, 1, 4, 4, 4, 5, 4, 4, 1, 1, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 1, 3, 3, 5, 4, 1, 5, 2, 1, 5, 4, 3, 5, 2, 5, 4, 1, 5, 5, 1, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 5, 2, 2, 5, 5, 4, 5, 1, 4, 4, 3, 5, 5, 1, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 1, 4, 4, 4, 4, 1, 4, 3, 5, 5, 5, 5, 4, 1, 1, 3, 3, 5, 5, 5, 3, 5, 3, 3, 5, 5, 2, 1, 5, 2, 5, 5, 4, 4, 4, 5, 5, 2, 5, 2, 5, 5, 5, 5, 4, 1, 3, 5, 3, 3, 4, 5, 4, 5, 5, 2, 5, 4, 5, 5, 4, 2, 2, 4, 4, 4, 4, 2, 1, 4, 4, 5, 1, 5, 5, 3, 5, 4, 4, 2, 1, 1, 3, 4, 1, 3, 4, 5, 4, 5, 5, 2, 5, 1, 5, 3, 1, 5, 4, 3, 5, 4, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 2, 5, 5, 3, 3, 5, 1, 2, 5, 5, 1, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 3, 5, 3, 3, 5, 1, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 1, 5, 5, 5, 5, 5, 1, 5, 5], "1837": [3, 4, 2, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 2, 4, 5, 3, 2, 4, 3, 3, 4, 2, 5, 3, 3, 4, 4, 3, 5, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 3, 4, 5, 2, 3, 4, 3, 4, 3, 2, 4, 4, 4, 5, 5, 2, 2, 5, 4, 5, 5, 1, 1, 4, 4, 4, 4, 3, 1, 5, 5, 4, 3, 5, 5, 3, 5, 3, 2, 5, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 1, 4, 2, 2, 5, 5, 3, 3, 3, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 5, 2, 4, 5, 1, 3, 5, 4, 3, 4, 4, 3, 4, 3, 1, 4, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 5, 5, 1, 3, 4, 2, 2, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 1, 4, 3, 4, 3, 3, 4, 2, 4, 4, 5, 3, 3, 1, 5, 4, 3, 4, 3, 2, 2, 4, 3, 4, 4, 4, 4, 3, 2, 3, 2, 3, 2, 1, 3, 4, 5, 3, 5, 2, 3, 4, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 5, 1, 2, 4, 4, 2, 3, 3, 3, 2, 3, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 2, 5, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 3, 2, 3, 4, 4, 5, 3, 4, 3, 3, 4, 3, 3, 2, 4, 4, 3, 2, 4, 2, 5, 4, 3, 3, 3, 4, 2, 5, 4, 4, 4, 4, 1, 5, 4, 4, 3, 4, 5, 3, 4, 3, 1, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 4, 3, 3, 2, 5, 4, 3, 5, 3, 3, 5, 1, 5, 2, 5, 3, 5, 4, 3, 3, 1, 3, 1, 3, 4, 1, 5, 4, 3, 3, 4, 5, 5, 3, 3, 4, 2, 2, 5, 4, 3, 2, 2, 2, 4, 4, 2, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 4, 2, 4, 5, 2, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 2, 2, 5, 1, 1, 5, 4, 5, 4, 4, 4, 3, 2, 3, 4, 5, 5, 3, 3, 2, 4, 3, 3, 1, 3, 3, 3, 4, 4, 1, 4, 3, 3, 4, 2, 4, 4, 4, 5, 2, 4, 5, 4, 5, 4, 4, 3, 3, 5, 5, 3, 4, 4, 4, 4, 3, 2, 4, 4, 5, 2, 2, 3, 4, 4, 3, 4, 5, 1, 4, 4, 3, 4, 4, 2, 2, 4, 2, 3, 5, 4, 5, 4, 5, 3, 5, 1, 4, 1, 4, 5, 5, 4, 5, 3, 3, 3, 5, 4, 4, 4, 4, 5, 5, 1, 4, 3, 5, 5, 3, 3, 5, 3, 5, 3, 3, 4, 3, 4, 5, 3, 4, 2, 4, 3, 4, 4, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 2, 4, 3, 4, 4, 3, 4, 5, 3, 5, 3, 4, 5, 4, 4, 2, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 3, 4, 1, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 2, 2], "4667": [3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 5, 5], "299": [3, 5, 5, 4, 3, 4, 4, 5, 4, 2, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 1, 5, 5, 5, 4, 4, 4, 5, 2, 5, 4, 5, 5, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5], "3448": [1, 4, 3, 4, 5, 4, 5, 1, 4, 4, 5, 4, 4, 5, 4, 4], "5985": [3, 4, 4, 4, 4, 5, 5, 4, 3, 2, 3, 2, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 5, 2, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 5, 5, 3, 3, 3, 5, 3, 4, 3, 4, 5, 4, 3, 4], "3138": [3, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 2, 2, 2, 5, 3, 3, 3, 3, 4, 4, 2, 5, 5, 4, 3, 4, 5, 4, 5, 2, 4, 4, 4, 2, 4, 4, 2, 1, 4, 3, 4, 3, 2, 2, 5, 3, 2, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 3, 5, 2, 2, 2, 3, 4, 3, 5, 4, 5, 3, 2, 2, 2, 3, 2, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 3, 5, 3, 5, 3, 2, 2, 3, 4, 3, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 5, 2, 2, 2, 3, 4, 4, 4, 4, 3, 2, 3, 5, 3, 1, 5, 4, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 5, 2, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 1, 2, 3, 2, 3, 3, 3, 3], "903": [3, 4, 5, 4, 3, 4, 5, 3, 4, 5, 3, 5, 2, 2, 4, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3], "4503": [4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 5, 3, 3, 5, 5, 5, 4, 4, 4, 3, 4, 3, 3], "516": [3, 2, 3, 4, 2, 2, 3, 4, 3, 5, 3, 3, 5, 3, 5, 4, 3, 3, 3, 4, 4, 2, 3, 1, 3, 3, 5, 4, 4, 3, 3, 4, 3, 5, 2, 2, 3, 3, 3, 3, 2, 3, 4, 3, 2, 4, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 4, 3, 2, 2, 3, 2, 4, 4, 5, 4, 2, 2, 4, 2, 2, 4, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 2, 3, 3, 2, 2, 2, 3, 3, 5, 2, 5, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 4, 5, 4, 2, 2, 3, 3, 2, 4, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 4, 4, 3, 1, 3, 3, 3, 2, 4, 3, 3, 3, 4, 3, 2, 2, 4, 3, 3, 2, 3, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 5, 2, 2, 4, 3, 3, 1, 3, 3, 3, 3, 1, 3, 2, 3, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 5, 3, 3, 3, 4, 2, 3, 3, 4, 2, 5, 2, 1, 2, 3, 3, 2, 2, 3, 2, 5, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 2, 4, 2, 4, 2, 2, 2, 3, 3, 3, 5, 2, 2, 2, 2], "2650": [5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 3, 5, 3, 5, 5, 5, 4, 5, 5, 3, 4, 2, 5, 5, 5, 3, 5, 4, 1, 5, 5, 3], "5605": [1, 1, 1, 1, 1, 3, 2, 3, 3, 4, 4, 3, 2, 1, 1, 3, 3, 3, 5, 1, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 1, 5, 4, 3, 4, 1, 2, 2, 3, 1, 4, 2, 3, 2, 5, 5, 3, 5, 4, 1, 4, 5, 1, 3, 4, 1, 5, 5, 1, 5, 5, 3, 2, 5, 5, 2, 3, 4, 4, 4, 5, 2, 3, 4, 2, 5, 1, 4, 4, 2, 1, 2, 5, 3, 5, 4, 4, 5, 4, 4, 4, 1, 4, 5, 4, 4, 1, 3, 2, 4, 2, 2, 2, 2, 2, 5, 3, 3, 1, 3, 5, 2, 3, 4, 3, 4, 3, 3, 2, 5, 4, 3, 4, 3, 5, 2, 2, 4, 4, 4, 5, 1, 2, 3, 5, 3, 4, 2, 5, 3, 1, 5, 4, 2, 4, 3, 2, 1, 1, 3, 4, 1, 4, 2, 3, 2, 3, 3, 3, 5, 3, 3, 3, 5, 2, 4, 4, 3, 4, 2, 3, 5, 3, 3, 2, 3, 2, 3, 4, 5, 1, 5, 4, 3, 2, 1, 5, 4, 3, 3, 1, 2, 1, 4, 3, 4, 1, 3, 2, 5, 3, 4, 3, 4, 2, 1, 4, 2, 1, 4, 1, 4, 1, 5, 2, 3, 4, 1, 3, 3, 1, 4, 5, 1, 3, 5, 2, 3, 3, 4, 3, 2, 1, 1, 3, 1, 1, 4, 1, 1, 2, 5, 1, 2, 3, 3, 2, 4, 1, 1, 4, 1, 2, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 1, 4, 3, 3, 3, 3, 2, 5, 3, 2, 4, 5, 4, 2, 4, 2, 3, 1, 3, 4, 1, 5, 5, 1, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 5, 3, 2, 4, 1, 2, 2, 2, 5, 2, 2, 5, 3, 4, 4, 1, 1, 1, 4, 5, 5, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 2, 5, 3, 4, 5, 3, 2, 1, 4, 5, 1, 4, 3, 3, 4, 2, 3, 3, 1, 3, 2, 4, 5, 4, 3, 5, 4, 1, 4, 1, 3, 4, 2, 2, 4, 1, 1, 4, 3, 4, 3, 4, 3, 5, 1, 3, 4, 1, 5, 4, 3, 3, 1, 3, 2, 4, 3, 5, 4, 4, 5, 2, 2, 4, 4, 1, 4, 4, 4, 2, 5, 1, 2, 1, 1, 1, 2, 3, 3, 5, 3, 4, 4, 1, 1, 1, 3, 4, 3, 1, 1, 5, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 3, 4, 5, 4, 1, 2, 2, 2, 4, 3, 4, 3, 2, 1, 2, 2, 5, 5, 5, 4, 2, 3, 1, 5, 4, 1, 3, 5, 1, 2, 2, 2, 3, 3, 2, 5, 3, 5, 3, 5, 4, 2, 4, 4, 5, 3, 3, 5, 1, 3, 3, 3, 5, 5, 5, 2, 2, 4, 3, 2, 1, 3, 1, 4, 2, 5, 3, 4, 5, 3, 3, 3, 5, 2, 3, 3, 4, 1, 3, 2, 4, 5, 2, 3, 3, 1, 4, 3, 4, 4, 4, 3, 3, 5, 5, 2, 2, 2, 1, 1, 1, 4, 1, 1, 2, 3, 2, 4, 2, 2, 4, 5, 3, 4, 3, 3, 3, 2, 2, 5, 3, 5, 1, 2, 3, 3, 1, 2, 1, 4, 2, 4, 3, 3, 3, 5, 4, 4, 3, 3, 3, 4, 1, 2, 5, 3, 3, 2, 3, 3, 2, 2, 4, 4, 5, 4, 5, 3, 3, 4, 1, 1, 1, 3, 5, 3, 2, 2, 3, 4], "1872": [4, 2, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 2, 4, 2, 4], "4499": [3, 5, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 2, 2, 2, 1, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 3, 5, 5, 4, 3, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 3, 4, 3, 4, 4, 4, 4, 2, 1, 4, 5, 4, 5, 4, 4, 5, 4, 5, 1, 5, 4, 5, 4, 5, 5], "4050": [5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 2, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 2, 3, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 3, 4, 5, 4, 4, 3, 4, 3, 5, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 5, 4, 3, 3, 5, 5, 4, 5, 4, 2, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 3, 4, 4, 5, 5, 5], "1295": [2, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 2, 3, 2, 4, 4, 2, 3, 3], "116": [4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 3, 3, 3, 3, 2, 3, 5, 3, 2, 4, 5, 5, 2, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 3, 5, 3, 4, 4, 5, 4], "3853": [5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 2, 4, 4, 5, 4, 5, 5, 5, 3, 3, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 3, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 1, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 1, 4, 5, 5, 2, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 4, 2, 4, 5, 5, 3, 3, 5, 3, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 2, 5, 2, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4], "31": [5, 4, 1, 5, 4, 3, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 2, 3, 5, 4, 3, 3, 4, 3, 2, 4, 4, 5, 5, 3, 2, 4, 5, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 5, 3, 3, 4, 5, 4, 3, 3, 2, 3, 5, 5, 4, 3, 5, 3, 2, 3, 5, 1, 3, 3, 3, 3, 4, 1, 4, 5, 5, 4, 2, 5, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 4, 3, 3, 3, 3, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 4, 3, 5, 5, 5, 3, 4, 2, 3], "2798": [3, 2, 5, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 2, 3, 4, 4, 3, 5, 3, 5, 5, 4, 2, 4, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 3, 2, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 1, 5, 5], "2366": [3, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 2, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 3], "4449": [4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4], "325": [5, 5, 4, 5, 5, 5, 4, 5, 2, 4, 5, 5, 3, 3, 5, 5, 3, 5, 4, 5, 3, 5, 5, 5, 1, 3, 3, 4, 5, 5, 3, 5, 4, 4], "5442": [5, 4, 4, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 2, 3, 4, 5, 5, 5, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3], "3082": [3, 2, 2, 5, 4, 5, 3, 3, 2, 5, 3, 3, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 5, 1, 4, 2, 3, 1, 2, 3, 2, 5, 4, 4, 2, 4, 2, 5, 5, 3, 4, 3, 3, 5, 1, 4, 3, 2, 3, 2, 3, 4, 4, 3, 3, 4, 3, 2, 4, 4, 2, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 2, 3, 3, 1, 1, 3, 3, 4, 3, 2, 5, 4, 5, 3, 4, 5, 4, 5, 1, 3, 4, 5, 3, 5, 5, 2, 1, 1, 2, 1, 3, 4, 3, 4, 1, 4, 3, 2, 1, 3, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 3, 5, 2, 5, 1, 4, 4, 2, 5, 4, 4, 5, 4, 4, 2, 4, 4, 3, 2, 5, 4, 3, 3, 2, 5, 3, 5, 4, 1, 5, 3, 4, 4, 2, 5, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 2, 2, 2, 4, 4, 3, 5, 2, 5, 3, 3, 4, 3, 4, 2, 4, 3, 5, 2, 5, 3, 3, 3, 2, 4, 3, 4, 1, 3, 1, 1, 3, 1, 4, 3, 4, 3, 3, 2, 3, 4, 5, 4, 5, 2, 3, 5, 3, 2, 5, 5, 3, 3, 3, 4, 4, 3, 2, 4, 4, 3, 4, 4, 4, 4, 2, 3, 5, 4, 4, 5, 2, 4, 4, 4, 2, 4, 3, 4, 5, 3, 5, 5, 4, 3, 3, 5, 3, 3, 5, 4, 4, 1, 4, 4, 2, 2, 2, 2, 5, 1, 4, 4, 5, 3, 3, 5, 2, 4, 5, 1, 3, 5, 2, 4, 5, 4, 3, 3, 2, 3, 4, 5, 4, 4, 5, 2, 2, 4, 2, 5, 3, 3, 3, 4, 5, 5, 3, 4, 2, 5, 3, 4, 5, 5, 2, 3, 2, 4, 4, 5, 4, 2, 5], "172": [3, 5, 4, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4], "1582": [3, 3, 4, 2, 4, 5, 5, 4, 3], "5450": [1, 3, 5, 3, 1, 1, 4, 5, 3, 5, 3, 3, 5, 5, 4, 4, 3, 4, 3, 2, 5, 4, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 2, 3, 4, 2, 3, 3, 5, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 1, 5, 5, 3, 2, 4, 5, 4, 5, 2, 3, 3, 2, 3, 4, 4, 2, 5, 4, 3, 3, 4, 5, 5, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 3, 4, 1, 3, 5, 5, 5, 3, 5, 3, 4, 4, 3, 3, 5, 2, 4, 5, 2, 1, 2, 4, 4, 5, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 5, 4, 1, 5, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4, 1, 3, 2, 5, 4, 4, 5, 4, 4, 3, 4, 3, 2, 2, 2, 2, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 2, 3, 5, 2, 1, 5, 2, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 2, 5, 2, 3, 3, 2, 2, 2, 4, 2, 1, 4, 4, 1, 1, 1, 3, 4, 4, 3, 3, 3, 3, 3, 2, 4, 3, 2, 2, 4, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3], "694": [3, 5, 4, 1, 4, 2, 5, 3, 4, 3, 2, 5, 4, 5], "2615": [2, 4, 3, 3, 5, 5, 4, 4, 5, 3, 2, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 5, 4, 4, 5, 5, 3], "994": [4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4], "3509": [3, 1, 3, 2, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 5, 5, 4, 2, 2, 5, 4, 5, 4, 5, 4, 3, 2, 1, 2, 1, 2, 4, 2, 3, 4, 1, 5, 3, 2, 3, 5, 4, 5, 2, 2, 2, 3, 3, 4, 5, 3, 5, 4, 5, 4, 2, 3, 3, 2, 1, 2, 1, 4, 4, 3, 2, 3, 2, 3, 1, 2, 1, 1, 3, 2, 4, 3, 1, 3, 1, 4, 2, 3, 2, 1, 1, 4, 5, 4, 5, 2, 4, 3, 3, 2, 4, 3, 2, 1, 3, 4, 2, 4, 5, 5, 3, 3, 1, 4, 1, 5, 5, 3, 3, 1, 2, 4, 3, 4, 4, 1, 4, 4, 4, 3, 2, 3, 3, 3, 5, 2, 3, 5, 5, 3, 5, 4, 2, 3, 3, 4, 4, 3, 1, 1, 2, 3, 2, 2, 5, 3, 2, 4, 1, 4, 2, 3, 2, 3, 2, 2, 5, 1, 2, 2, 4, 3, 3, 3, 1, 4, 5, 3, 3, 3, 2, 5, 2, 1, 1, 4, 4, 3, 4, 3, 2, 2, 3, 2, 4, 1, 3, 1, 3, 2, 5, 3, 5, 3, 3, 5, 2, 2, 2, 3, 3, 4, 3, 1, 2, 1, 4, 2, 2, 1, 1, 2, 2, 5, 4, 4, 2, 3, 1, 2, 2, 5, 1, 4, 5, 4, 2, 5, 2, 1, 1, 1, 2, 2, 3, 2, 3, 5, 3, 5, 3, 5, 1, 5, 4, 1, 1, 1, 2, 2, 3, 1, 5, 2, 2, 1, 3, 2, 3, 3, 1, 2, 4, 5, 1, 3, 4, 3, 2, 1, 3, 3, 5, 1, 2, 2, 1, 4, 2, 2, 1, 4, 5, 4, 3, 3, 2, 4, 2, 5, 3, 2, 1, 3, 1, 3, 1], "5600": [4, 5, 3, 5, 3, 1, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 2, 5, 5, 2, 2, 3, 4, 4, 3, 1, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 2, 3, 5, 3, 5, 4, 4, 5, 3, 3, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 3, 1, 5, 5, 5, 5, 4, 4, 5, 2, 5, 4, 3, 2, 4, 5, 3, 3, 5, 3, 4, 4, 5, 4, 5, 5, 4, 4, 2, 4, 1, 3, 5, 5, 5, 3, 1, 3, 5, 5, 5, 3, 5, 5, 4, 1, 3, 5, 4, 4, 4, 5, 3, 3, 5, 5, 5, 1, 4, 5, 5, 4, 4, 4, 3, 5, 3, 5, 4, 2, 2, 4, 3, 4, 4, 4, 1, 2, 3, 3, 3, 5, 2, 4, 4, 5, 2, 4, 5, 5, 5, 3, 2, 4, 3, 2, 1, 4, 4, 5, 4, 5, 4, 5, 4, 3, 2, 3, 5, 4, 5, 5, 4, 5, 5, 5, 1, 4, 2, 4, 5, 3, 4, 4, 5, 4, 4, 5, 1, 5, 3, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 1, 4, 5, 5, 4, 2, 4], "3486": [2, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 3, 5, 5, 1, 4, 5, 5, 3, 3, 5, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 5, 2, 3, 4, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 4, 3, 4, 5, 3, 5, 2, 4, 4, 5, 4, 5, 4, 4, 5, 2, 5, 4, 3, 5, 4, 5, 4, 5, 2, 4, 5, 5, 3, 4, 5, 5], "2187": [4, 5, 4, 2, 3, 4, 1, 5, 4, 3, 4, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 1, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 3, 5, 3, 3, 4, 5, 4, 3, 2, 2, 5, 5, 3, 2, 4, 4, 5, 3, 3, 4, 2, 1, 5, 5, 3, 3, 5, 5, 4, 4, 5, 3, 5, 3, 4, 3, 5, 4, 4, 3, 3], "4117": [4, 5, 5, 4, 3, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 2, 3, 5, 4, 5, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 3, 5, 4, 3, 4, 5, 5, 2, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 5, 3, 3, 5, 4, 3, 4, 5, 5, 2, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 1, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 2, 2, 3, 3, 2, 2], "3855": [4, 4, 5, 4, 3, 5, 4, 4, 2, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 2, 3, 3, 4, 5, 4, 4, 3, 2, 3, 4, 4, 4, 2, 5, 5, 4, 4, 4, 2, 4, 3, 4, 4], "4494": [4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 2, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 2, 5, 3], "982": [5, 5, 3, 3, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4], "3426": [5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 3, 5, 5, 4, 3, 5, 5, 5, 2, 3, 3, 5, 5, 5, 4, 4, 5, 4, 1, 5, 4, 4, 3, 3, 3, 3, 2, 1, 3, 5, 5, 5, 5, 3, 3, 5, 3, 5, 5, 4, 4, 4, 2, 4, 1, 1, 1, 5, 4, 5, 1, 4, 5, 5, 4, 5, 2, 5, 4, 3, 3, 3, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 4, 5, 4, 5], "5526": [4, 2, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 4, 2, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 3, 4, 4, 2, 4, 3, 3, 3, 5, 4, 5, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 2, 4, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 2, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 1, 4, 3, 5, 3, 3, 4, 3, 4, 4, 5, 4, 5, 3, 3, 5, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 4, 2, 5, 4, 2, 2, 4, 2, 5, 4, 3, 4, 3, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 4, 5, 3, 2, 5, 4, 4, 4, 2, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 2, 3, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4], "5713": [4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 1], "793": [3, 3, 4, 4, 4, 4, 2, 3, 3, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 2, 4, 3, 2, 3, 3, 2, 4, 5, 5, 4, 4, 3, 3, 1, 4, 3, 2, 4, 2, 4, 3, 5, 3, 3, 4, 3, 3, 2, 4, 4, 2, 4, 4, 5, 3, 4, 5, 3, 4, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 2, 4, 4, 3, 3, 2, 2, 2, 5, 3, 4, 3, 4, 4, 4, 3, 3, 1, 5, 5, 5, 2, 4, 3, 3, 5, 3, 2, 3, 3, 3, 4, 3, 3, 3, 5, 2, 4, 4, 3, 4, 4, 3], "814": [5, 5, 3, 5, 1, 5, 5, 4, 1, 4, 5, 5, 5, 4, 1, 5, 3, 2, 4, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4], "4823": [2, 2, 4, 3, 3, 2, 5, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 5, 4, 2, 1, 3, 4, 1, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 4, 4, 2, 3, 3, 3, 3, 2, 3, 2, 4, 3, 5, 3, 4, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 5, 4, 4, 4, 3, 5, 3, 2, 4, 4, 5, 2, 3, 4, 2, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 2, 2, 2, 2, 4, 4, 4, 5, 3, 5, 4, 4, 2, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 2, 2, 3, 5, 4, 3, 4, 2, 4, 2, 2, 3, 3, 1, 4, 5, 2, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 2, 4, 4, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 4, 4, 4, 1, 2, 2, 4, 4, 2, 5, 2, 2, 1, 4, 3, 2, 5, 2, 5, 4, 5, 5, 4, 3, 3, 3, 3, 5, 4, 5, 5, 3, 3, 4, 5, 3, 3, 4, 4, 5, 2, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 3, 5, 3, 5, 3, 3, 2, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 5, 1, 3, 2, 3, 3, 4, 4, 4, 2, 3, 5, 4, 3, 3, 3, 2, 3, 4, 3, 3, 3, 4, 2, 4, 3, 2, 2, 3, 3, 5, 3, 3, 5, 4, 2, 2, 4, 3, 3, 4, 2, 3, 3, 5, 4, 4, 3, 5, 4, 3, 5, 4, 1, 3, 3, 4, 4, 2, 5, 3, 3, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 4, 2, 4, 5, 3, 3, 4, 4, 3, 3, 4, 3, 1, 4, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 4, 4, 3, 2, 4, 3, 4, 5, 4, 2, 2, 5, 4, 4, 2, 5, 1, 3, 3, 2], "1714": [4, 5, 4, 4, 3, 3, 2, 3, 4, 5, 3, 3, 3, 5, 1, 3, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 1, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 3, 2, 4, 5, 1, 4, 4, 3, 4, 4, 2, 3, 4, 4, 5, 3, 3, 4, 3, 5, 4, 3, 5, 4, 3, 3, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 1, 4, 3, 3, 3, 2, 3, 3, 3, 4, 3, 4, 3, 2, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 3, 2, 4, 3, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 1, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 3, 4, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 5, 3, 2, 4, 4, 4, 5, 5, 5, 4, 3, 2, 3, 2, 3, 3, 5, 4, 4, 5], "3358": [5, 3, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 4, 2, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 3, 3, 4, 5, 2, 4, 2, 1, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 2, 4, 4, 5, 4, 3, 5, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 1, 5, 3, 3, 4, 4, 4, 3, 2, 5, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 1, 5, 3, 1, 5, 1, 5, 3, 1, 1, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 4, 3, 5, 2, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 4, 4], "3089": [4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 1], "4235": [5, 5, 4, 4, 5, 2, 4, 4, 3, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 3, 4, 2, 5, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 2, 3, 5, 5, 4, 4, 3, 3, 4, 5, 1, 3, 3, 4, 5, 5, 4, 3, 4, 3, 4, 5, 5, 3, 3, 4, 3, 5, 4, 4, 4, 3], "3180": [1, 3, 1, 2, 4, 4, 2, 4, 2, 4, 2, 3, 3, 3, 1, 3, 2, 3, 3, 4, 3, 3, 4, 3, 5, 4, 2, 3, 4, 4, 5, 1, 3, 2, 5, 1, 5, 3, 2, 2, 3, 5, 4, 2, 3, 3, 1, 3, 3, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 5, 3, 1, 5, 2, 3, 5, 2, 3, 2, 2, 2, 1, 3, 5, 2, 2, 1, 2, 3, 3, 1, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 3, 1, 3, 2, 2, 1, 2, 2, 2, 3, 3, 2, 4, 4, 2, 4, 2, 2, 1, 4, 3, 2, 4, 2, 1, 3, 3, 2, 4, 2, 4, 1, 3, 4, 5, 2, 2, 3, 2, 3, 4, 3, 4, 2, 2, 5, 3, 2, 1, 2, 3, 3, 4, 3, 2, 2, 4, 4, 4, 4, 2, 3, 3, 1, 3, 1, 3, 2, 2, 4, 4, 3, 5, 3, 1, 4, 2, 5, 2, 3, 3, 2, 1, 3, 3, 1, 1, 3, 2, 3, 2, 4, 1, 4, 4, 4, 2, 1, 2, 4, 3, 3, 2, 3, 3, 3, 5, 3, 4, 3, 3, 4, 4, 3, 2, 4, 1, 3, 1, 3, 4, 3, 3, 3, 4, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 5, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 1, 4, 3, 3, 4, 3, 2, 2, 3, 2, 2, 1, 1, 2, 4, 1, 5, 4, 3, 1, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 3, 1, 3, 3, 2, 3, 4, 2, 1, 2, 4, 3, 4, 2, 4, 4, 4, 1, 2, 3, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 1, 2, 4, 4, 3, 3, 3, 3, 2, 3, 4, 4, 3, 2, 3, 2, 2, 3, 3, 3, 3, 4, 1, 3, 1, 2, 3, 3, 4, 3, 4, 3, 4, 2, 1, 2, 4, 1, 4, 2, 3, 4, 2, 4, 3, 2, 3, 3, 2, 3, 3, 3, 4, 3, 2, 3, 2, 3, 3, 2, 5, 5, 4, 5, 3, 4, 3, 2, 2, 4, 5, 3, 3, 4, 3, 2, 2, 4, 4, 3, 2, 1, 4, 3, 2, 5, 5, 4, 2, 5, 4, 4, 3, 2, 5, 4, 4, 5, 3, 3, 3, 4, 1, 4, 3, 2, 3, 4], "2191": [3, 1, 2, 5, 4, 1, 2, 4, 4, 3, 2, 4, 4, 4, 3, 5, 3, 2, 3, 2, 1, 3, 5, 1, 2], "1555": [3, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 2, 5, 2, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 2, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5], "3313": [4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 2, 3, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 2, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 5, 3, 4, 3, 3, 3, 5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 2, 5, 3, 3, 4, 2, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 3, 3, 2, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 4, 3, 2, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 2, 4, 2, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 2, 4, 3, 4, 4, 2, 4, 3, 3, 2, 2, 3, 3, 4, 3, 4, 4, 4, 2, 3, 3, 2, 2, 4, 4, 2, 4, 3, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 3, 2, 4, 3, 4, 4, 3, 5, 4, 4, 3, 2, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 2, 3, 4, 5, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 5, 3, 3, 3, 5, 4, 3, 4, 3, 4], "3962": [4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4], "3784": [5, 3, 2, 2, 4, 4, 5, 5, 2, 5, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 1, 4, 2, 4, 5], "1080": [4, 4, 5, 5, 5, 1, 4, 5, 5, 2, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 1, 1, 5, 1, 1, 2, 1, 1, 5, 5, 2, 5, 5, 1, 5, 5], "4157": [1, 3, 5, 3, 2, 3, 3, 3, 3, 4, 5, 4, 4, 3, 5, 3, 3, 3, 3, 5, 2, 4, 2, 3, 5, 3, 3, 5, 2, 3, 5, 4, 2, 4, 5, 3, 3, 3, 5, 4, 2, 4, 3, 4, 5, 4, 4], "2431": [5, 4, 5, 2, 5, 5, 5, 5, 2, 2, 5, 4, 5, 4, 1, 3, 4, 5], "1538": [4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 3, 5, 2, 3, 4, 5, 3, 5, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4], "5786": [2, 2, 2, 3, 2, 2, 3, 2, 3, 3, 4, 3, 4, 2, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 4, 2, 3, 4, 4, 3, 4, 4, 1, 5, 3, 5, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 2, 3, 2, 4, 5, 2, 3, 4, 4, 4, 5, 2, 3, 5, 3, 3, 4, 3, 5, 5, 3, 3, 3, 1, 4, 4, 4, 1, 4, 4, 4, 4, 4, 2, 4, 5, 2, 3, 5, 1, 2, 2, 4, 5, 3, 3, 4, 1, 2, 4, 5, 4, 3, 4, 5, 5, 1, 3, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 4, 3, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 1, 5, 2, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 2, 5, 2, 2, 2, 4, 2, 4, 4, 4, 3, 4, 5, 1, 4, 3, 4, 2, 3, 2, 3, 2, 4, 3, 5, 4, 3, 4, 5, 3, 4, 1, 2, 3, 2, 4, 3, 3, 3, 2, 2, 2, 4, 5, 3, 5, 5, 4, 2, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 2, 4, 3, 4, 5, 4, 4, 5, 4, 2, 4], "4129": [4, 3, 5, 2, 5, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4], "5306": [4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 2, 4, 3, 3, 4, 4, 1, 4, 4, 4, 5, 5, 1, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 1, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 1, 5, 3, 2, 2, 3, 4, 2, 1, 3, 3, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 3, 4, 4, 1, 3, 1, 3, 2, 3, 1, 1, 1, 4, 1, 2, 4, 4, 4, 3, 3, 4, 5, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 1, 3, 3, 1, 3, 4, 4, 1, 4, 5, 3, 3, 4, 4, 3, 3, 3, 5, 4, 2, 5, 4, 4, 5, 1, 4, 4, 4, 4, 1, 5, 3, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 1, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 1, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 1, 5, 2, 4, 4, 3, 3, 2, 3, 5, 4, 2, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 1, 3, 5, 4, 3, 3, 4, 2, 5, 5, 4, 3, 4, 4, 3, 3, 2, 4, 3, 3, 4, 1, 5, 4, 3, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 2, 4, 5, 5, 5, 2, 4, 3, 1, 3, 4, 4, 1, 3, 4, 1, 2, 5, 5, 4, 5, 4, 4, 3, 5, 4, 1, 4, 5, 3, 1, 5, 1, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 2, 3, 1, 1, 4, 1, 1, 3, 3, 4, 3, 4, 4, 5, 3, 3, 2, 1, 3, 4, 4, 5, 5, 3, 1, 4, 3, 4, 5, 3, 2, 1, 1, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 2, 3, 4, 4, 3, 2, 4, 4, 4, 2, 2, 1, 4, 3, 3, 1, 3, 5, 2, 4, 1, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 1, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 1, 5, 3, 4, 2, 1, 2, 2, 4, 4, 5, 5, 4, 5, 1, 3, 4, 4, 2, 4, 1, 2, 4, 1, 4, 1, 2, 5, 4, 3, 4, 1, 4, 3, 5, 1, 4, 1, 3, 5, 5, 4, 2, 3, 4, 1, 3, 2, 2, 5, 3, 2, 1, 2, 1, 4, 4, 4, 4, 1, 2, 4, 4, 4, 1, 4, 4, 3, 3, 4, 3, 1, 1, 1, 4, 1, 5, 5, 3, 3, 5, 2, 5, 1, 4, 2, 1, 4, 1, 3, 5, 5, 1, 1, 1, 3, 5, 5, 3, 3, 3, 4, 4, 1, 5, 2, 3, 4, 2, 4, 3, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 1, 1, 3, 3, 4, 2], "1588": [4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 2, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 4], "5955": [2, 3, 3, 4, 2, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 2, 4, 4, 3, 5, 5, 4, 3, 5, 4, 5, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 2, 4, 4, 3, 4, 2, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 2, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 5, 3, 5, 2, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 2, 3, 3, 3, 3, 4, 4, 4, 2, 2, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 3, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 3, 3, 4, 2, 3, 2, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 3, 4, 2, 2, 2, 3, 4, 1, 2, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 4, 3, 3, 4, 4], "2979": [5, 4, 4, 5, 1, 1, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 2, 4, 4, 3, 5, 3, 3, 5, 4, 2, 5, 3, 5, 4], "4000": [5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 5, 5, 2, 1, 2, 4, 2, 4, 3, 4, 3, 5, 5, 3, 4, 5, 4, 3, 3, 5, 4, 5, 4, 3, 5, 5, 2, 3, 4, 4, 2, 4, 5, 3, 3, 4, 5, 4, 3, 4, 5, 5, 4, 5, 3], "1999": [3, 2, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 2, 5, 3, 5, 4, 4, 4, 4, 3, 2, 4, 4, 2, 3, 4, 5, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 2, 4, 3, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4], "5928": [4, 3, 5, 5, 4, 4, 5, 5, 3, 5, 3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 3], "175": [4, 5, 2, 5, 5, 5, 4, 2, 4, 5, 4, 4, 3, 5, 5, 4, 3, 3, 5, 4, 4, 5, 3, 4, 5, 4, 5, 3, 3, 5, 5, 3, 5, 2, 2, 5, 4, 3, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 5, 2, 5, 5, 4, 1, 3, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 1, 5, 4, 5, 3, 4, 3, 5, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 2, 5, 2, 4, 3, 4, 4, 3, 5, 4, 5, 5, 3, 2, 5, 4, 5, 4, 1, 5, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 3, 5, 3, 3, 2, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 1, 4, 4, 1, 5, 5, 3, 5, 4, 3, 4, 5, 5, 3, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 4, 3, 5, 3, 2, 5, 4, 2, 4, 4, 2, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 2, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 2, 5, 4, 3, 4, 5, 5], "4362": [4, 2, 4, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 2, 1, 1, 3, 2, 3, 3, 1, 3, 2, 5, 2, 5, 3, 5, 3, 4, 4, 3, 4, 3, 1, 2, 3, 4, 5, 4, 3, 2, 4, 3, 5, 5, 3, 1, 4, 2, 3, 1, 4, 4, 3, 4, 3, 2, 3, 4, 4, 2, 2, 4, 1, 2, 1, 3, 4, 1, 3, 5, 3, 1, 4, 4, 4, 3, 2, 4, 4, 5, 1, 2, 3, 4, 3, 3, 3, 2, 3, 3, 2, 2, 4, 3, 2, 2, 2, 4, 5, 2, 4, 1, 5, 4, 3, 5, 4, 5, 1, 5, 4, 3, 4, 3, 3, 3, 2, 5, 3, 1, 3, 5, 1, 4, 1, 1, 4, 3, 3, 3, 3, 2, 4, 4, 3, 4, 1, 2, 3, 1, 3, 2, 3, 2, 2, 1, 4, 4, 1, 1, 4, 4, 3, 3, 3, 2, 1, 3, 3, 3, 4, 2, 1, 1, 3, 2, 1, 5, 4, 3, 5, 2, 3, 3, 5, 2, 4, 4, 4, 3, 4, 1, 5, 2, 3, 3, 3, 4, 4, 2, 3, 4, 2, 3, 3, 2, 3, 4, 4, 1, 3, 4, 5, 3, 3, 4, 4], "2214": [4, 3, 5, 5, 5, 2, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 3, 2, 4, 5, 3, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5], "2504": [4, 4, 5, 3, 5, 4, 4, 3, 3, 3, 5, 1, 4, 2, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 5, 5, 4, 1, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 3, 3, 2, 5, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 3, 2, 2, 3, 4, 3, 3, 5, 4, 1, 5, 3, 3, 4, 3, 3, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 2, 3, 3, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 4, 1, 2, 5, 4, 3, 4, 3, 5, 4, 4, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 2, 3, 4, 5, 4, 3, 3, 4, 4, 5, 5, 3, 3, 4, 3, 4, 5, 5, 2, 5, 2, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 3, 3, 3, 5, 3, 5, 5, 2, 1, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 3, 4, 2, 4, 4, 5, 3, 3, 3, 5, 3, 3, 5, 3, 5, 4, 2, 3, 4, 4, 5, 3, 3, 4, 5, 3, 3, 5, 2, 2, 4, 3, 3, 5, 4], "3220": [4, 5, 1, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 5, 5, 3, 3, 4, 4, 1, 3, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 2, 4, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4], "1853": [5, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 2, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 2, 5, 4, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 5, 3, 2, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 3, 3, 5, 4, 3, 3, 5, 5, 4, 5, 1, 5, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 2], "5804": [5, 3, 2, 2, 4, 2, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 4, 3], "5914": [5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 4, 5, 3, 4, 5, 4, 3, 5, 1, 2, 5, 5, 4, 5, 4, 2, 5, 4, 5, 5], "2824": [5, 5, 5, 5, 5, 1, 5, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 1, 2, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 3, 2, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 5, 4, 2, 2, 4, 5, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 3, 5, 4, 2, 3, 3, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 4], "675": [3, 5, 4, 4, 2, 2, 5, 5, 3, 1, 3], "1427": [4, 5, 4, 5, 5, 4, 1, 5, 4, 3, 3, 5, 4, 3, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 3, 2, 4, 5, 4, 3, 4, 4, 3, 2, 5, 2, 2, 4, 3, 5, 4, 3, 5, 5, 4, 4, 2, 1, 3, 5, 1, 4, 2, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 1, 2, 4, 4, 3, 5, 5, 3, 4, 4, 3, 5, 3, 3, 3, 4, 3, 5, 3, 4, 5, 4, 2, 5], "4357": [4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 2, 5, 5, 4, 4, 3, 5, 5, 5], "4939": [4, 5, 5, 2, 5, 4, 5, 4, 5, 1, 3, 3, 2, 5, 3, 5, 3, 2, 4, 3, 4, 2, 3, 3, 1, 4, 5, 5, 3, 4, 3, 4, 5, 1, 5, 4, 5, 4, 3, 3, 4, 5, 2, 2, 3, 3, 3, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 1, 4, 5, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 4, 3, 5, 5, 3, 4, 2, 5, 5, 1, 3, 3, 3, 5, 5, 5, 3, 1, 3, 3, 3, 5, 5, 2, 2, 4, 1, 3, 5, 3, 4, 5, 4, 1, 1, 5, 3, 4, 3, 4, 2, 5, 4, 4], "1350": [4, 2, 5, 3, 4, 4, 2, 5, 3, 4, 2, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 2, 4, 3, 3, 5, 1, 3, 4, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 1, 4, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 5, 5, 5, 5, 5, 2, 3, 5, 4, 3, 3, 2, 4, 3, 4, 3, 2, 5, 3, 4, 4, 4, 4, 3], "4298": [3, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 2, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 1, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 2, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 5, 3, 3, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 1, 5, 3, 5, 4, 2, 5, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 3, 5, 5, 3, 4, 3, 4, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5], "4199": [3, 4, 4, 4, 3, 4, 5, 3, 1, 5, 2, 5, 5, 3, 2, 2, 5, 4, 1, 4, 5, 5, 5, 5, 5, 4, 2, 3, 4, 5, 5, 5, 4, 5, 3, 3], "2331": [5, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5], "748": [4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 3, 5, 3, 5, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 5, 4, 3, 5, 4, 3, 5, 4, 4, 4, 3, 2, 5, 2, 4, 3, 2, 2, 2, 2, 2, 4, 4, 4, 1, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 3, 5, 5], "3516": [2, 3, 4, 5, 3, 5, 4, 4, 5, 5, 2, 3, 4, 3, 2, 5, 4, 4, 5, 3, 2, 4, 2, 3, 5, 4, 2, 3, 4, 2, 3, 2, 4, 4, 4, 4, 2, 4, 2, 3, 5, 2, 4, 2, 3, 3, 4, 5, 5, 4, 5, 2, 1, 5, 3, 3, 4, 4, 4, 3, 4, 1, 2, 3, 2, 3, 4, 4, 4, 2, 4, 2, 1, 1, 3, 4, 5, 4, 5, 2, 4, 2, 3, 5, 1, 1, 4, 4, 5, 2, 4, 5, 2, 5, 4, 5, 4, 5, 4, 5, 5, 2, 4, 3, 4, 5, 3, 3, 4], "2547": [4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 5, 3, 5, 3, 3, 5, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 3, 5, 3, 4, 2, 4, 3, 5, 5, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 5, 3, 5, 4, 4], "3659": [5, 4, 5, 2, 5, 4, 5, 5, 2, 5, 5, 3, 3, 5, 3, 3, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5], "2041": [4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 4, 3, 5, 4, 1, 3, 3, 4, 3, 3, 2, 4, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 4, 3, 2, 2, 2, 5, 3, 4, 2, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 2, 5, 3, 3, 2, 3, 3, 4, 4, 2, 4, 4, 4, 2, 2, 1, 4, 2, 5, 5, 3, 4, 4, 2, 4, 5, 3, 4, 3, 3, 5, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 3, 2, 3, 2, 3, 3, 3, 3, 2, 2, 1, 3, 4, 3, 4, 2, 5, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 4, 1, 5, 1, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 2, 2, 4, 4, 3, 1, 4, 4, 4, 4, 3, 3, 3, 4, 5, 2, 3, 5, 5, 5, 4, 2, 3, 1, 1, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 4, 5, 2, 3, 3, 5, 3, 2, 1, 4, 5, 4, 3, 4, 1, 2, 3, 3, 3, 2, 2, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 4, 2, 4, 4, 3, 4, 2, 3, 3, 2, 3, 5, 3, 4, 3, 2, 5, 4, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 4, 1, 4, 2, 4, 4, 3, 3, 3, 4, 2, 4, 4, 3, 4, 3, 3, 4, 3, 4, 1, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 2, 2, 4, 2, 4, 4, 4, 5, 1, 4, 3, 4, 3, 5, 2, 4, 5, 2, 5, 5, 3, 4, 3, 5, 4, 3, 2, 3, 4, 3, 4, 4, 5, 3, 5, 3, 3, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 2, 5, 2, 5, 3, 3, 2, 4, 2, 5, 3, 2, 1, 1, 4, 1, 3, 4, 5, 3, 4, 4, 4, 5, 3, 2, 5, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 1, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 5, 5, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 3, 5, 3, 5, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 3, 2, 2, 5, 4, 5, 5], "3690": [2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 2, 4, 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 2, 4, 4, 2, 3, 3, 4, 4, 4, 3, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 2, 4, 3, 3, 3, 5, 4, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 4, 4, 2, 4, 3, 3, 3, 2, 2, 4, 4, 2, 4, 3, 2, 3, 2, 3, 2, 2, 4, 2, 3, 3, 2, 2, 2, 4, 3, 2, 3, 2, 3, 2, 2, 4, 4, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 4, 2, 5, 2, 2, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 4, 2, 1, 3, 4, 4, 3, 3, 3, 2, 4, 3, 5, 3, 3, 2, 3, 4, 3, 3, 2, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 5, 2, 3, 2, 3, 3, 3, 5, 3, 4, 2, 3, 4, 2, 4, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 4, 4, 3, 3, 3, 3, 1, 3], "816": [3, 4, 3, 5, 5, 4, 5, 3, 3, 5, 5, 4, 3, 2, 5, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 4, 4, 3, 1, 4, 3, 4, 5, 3, 2, 4, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 2, 4, 4, 4, 4, 5, 4, 4, 5, 5, 2, 4, 3, 4, 2, 3, 5, 4, 4, 4, 3, 4, 3, 4, 3, 2, 1, 4, 4, 3, 3, 4, 5, 5, 3, 1, 5, 4, 1, 5, 2, 3, 5, 4, 4, 5, 4, 4, 5, 2, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 2, 2, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 2, 3, 1, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4], "4540": [4, 4, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 1, 2, 5, 5, 4, 2, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 4, 3, 5, 4, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 5, 2, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3], "3069": [3, 4, 4, 5, 2, 3, 1, 1, 3, 2, 4, 4, 3, 4, 5, 3, 2, 3, 5, 1, 5, 4, 2, 4, 2, 5, 3, 3, 4, 1, 4, 4, 5, 2, 1, 5, 2, 2, 3, 2, 3, 1, 3, 3, 3, 3, 3, 2, 4, 4, 5, 4, 3, 2, 2, 4, 3, 1, 1, 3, 1, 2, 2, 1, 5, 3, 4, 3, 5, 1, 2, 2, 3, 5, 1, 4, 4, 3, 3, 2, 2, 3, 2, 5, 1, 2, 3, 3, 1, 1, 4, 1, 1, 2, 2, 5, 4, 5, 4, 3, 3, 3, 1, 3, 2, 3, 5, 3, 1, 4, 2, 5, 1, 3, 4, 2, 4, 2, 1, 1, 5, 3, 1, 5, 2, 2, 2], "445": [5, 5, 4, 3, 3, 5, 3, 3, 5, 5, 4, 2, 3, 4, 5, 2, 5, 2, 1, 5, 5, 4, 2, 3, 3, 4, 2, 3, 5, 5, 4, 2, 3, 4, 2, 4, 4, 2, 3, 3, 5, 1, 3, 4, 5, 2, 3, 3, 3, 4, 5, 2, 3, 2, 2, 4, 3, 2, 3, 2, 2, 3, 2, 4, 2, 5, 4, 4, 3, 4, 3, 1, 3, 3, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 3, 2, 2, 2, 3, 5, 2, 4, 3, 3, 3, 3, 4, 2, 4, 5, 5, 3, 3, 4, 1, 5, 3, 2, 2, 4, 2, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 2, 4, 5, 5, 3, 3, 3, 4, 3, 3, 4, 5, 3, 5, 4, 5, 3, 1, 4, 3, 4, 2, 3, 3, 4, 2, 5, 2, 3, 3, 5, 5, 4, 2], "2578": [5, 5, 2, 5, 4, 5, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4], "30": [5, 3, 4, 3, 4, 5, 2, 3, 4, 2, 3, 4, 3, 3, 4, 2, 4, 2, 5, 5, 3, 3, 4, 3, 3, 5], "4088": [3, 3, 4, 2, 4, 4, 4, 3, 4, 2, 3, 4, 3, 3, 2, 2, 1, 3, 1, 2, 5, 5, 3, 3, 3, 3, 5, 5, 2, 3, 1, 3, 3, 1, 2, 3, 5, 3, 2, 3, 5, 2, 4, 3, 2, 4, 3, 5, 4, 4, 4, 4, 5, 3, 2, 3, 2, 3, 4, 3, 2, 4, 3, 5, 4, 3, 2, 2, 2, 5, 2, 2, 4, 5, 5, 3, 4, 2, 4, 2, 3, 1, 2, 3, 3, 2, 2, 5, 5, 3, 3, 5, 3, 1, 3, 4, 5, 2, 2, 3, 5, 2, 3, 4, 3, 4, 4, 5, 5, 2, 5, 3, 2, 3, 3, 3, 3, 3, 5, 3, 5, 3, 3, 5, 3, 3, 4, 3, 4, 5, 3, 5, 3, 5, 3, 4, 1, 3, 3, 3, 2, 4, 2, 3, 2, 3, 1, 4, 5, 3, 4, 1, 3, 3, 4, 3, 1, 3, 4, 4, 1, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 2, 5, 3, 3, 2, 3, 1, 5, 4, 3, 3, 2, 4, 2, 5, 3, 3, 4, 2, 4, 2, 5, 3, 3, 5, 4, 1, 2, 4, 1, 4, 5, 4, 1, 4, 3, 2, 3, 3, 2, 3, 2, 5, 2, 3, 3, 5, 3, 5, 5, 5, 5, 3, 3, 3, 4, 4, 2, 4, 5, 2, 2, 4, 5, 4, 3, 1, 3, 4, 3, 3, 5, 5, 1, 5, 3, 5, 5, 1, 5, 3, 5, 5, 3, 5, 3, 5, 2, 3, 3, 3, 5, 4, 3, 5], "5801": [3, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 4, 2, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 3, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 2, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 5, 3, 4, 4, 5, 3, 4, 4, 5, 3, 5, 2, 3, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5], "1601": [3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 2, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 2, 4, 4, 4, 3, 5, 3, 1, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 3, 5, 2, 4, 4, 3, 3, 4, 4, 4, 3, 3, 5, 5, 4, 5, 3, 4, 5, 3, 4, 5, 5, 3, 5, 5, 2, 4, 4, 5, 3, 5, 1, 3, 5, 5, 5, 5, 5, 4, 3, 5, 2, 5, 5, 3, 5, 5, 5, 3, 3, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3], "3408": [4, 4, 3, 2, 5, 4, 5, 5, 5, 5, 3, 2, 4, 2, 3, 2, 1, 4, 5, 5, 5, 2, 5, 2, 4, 4, 2, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 3, 3, 4, 5, 3, 2, 4, 1, 1, 3, 4, 4, 2, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 3, 5, 4, 3, 5, 5], "3940": [4, 4, 2, 3, 5, 5, 4, 3, 5, 2, 5, 5, 5, 4, 2, 4, 2, 5, 3, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 5, 2, 2, 5, 5, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 2, 3, 4, 3, 2, 2, 5, 3, 1, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 3, 5, 2, 1, 5, 2, 4, 4, 3, 3, 2, 3, 3, 5, 4, 4, 1, 2, 4, 2, 4, 4, 2, 4, 4, 4, 2, 2, 3, 5, 3, 5, 5, 1, 4, 3, 5, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 1, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 2, 3, 4, 2, 4, 5, 5, 5, 4, 4, 2, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 2, 3, 4, 4, 3, 4, 4, 2, 5, 3, 1, 3, 3, 5, 4, 2, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 2, 3, 2, 4, 5, 4, 4, 1, 3, 5, 3, 3, 3, 3, 2, 4, 1, 3, 4, 4, 5, 3, 4, 4, 2, 4, 5, 5, 3, 3, 3, 5, 3, 4, 4, 5, 4, 1, 2, 5, 5, 3, 5, 3, 3, 5, 5, 2, 5, 5, 4, 4, 4, 4, 2, 3, 3, 5, 5, 2, 3, 2, 5, 3, 4, 4, 5, 5, 4, 2, 3, 4, 4, 3, 1, 4, 4, 4, 2, 4, 5, 4, 4, 5, 3, 3, 4, 5, 4, 2, 4, 3, 5, 2, 4, 3, 3, 5, 2, 4, 3, 4, 5, 4, 2, 3, 4, 3, 1, 4, 5, 5, 4, 2, 3, 4, 4, 2, 5, 5, 5, 3, 2, 5, 4, 3, 5, 5, 1, 3, 3, 4, 3, 3, 2, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 2, 5, 5, 5, 4, 2, 5, 2, 5, 3, 3, 3, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 5, 4, 5, 5, 4, 5, 3, 2, 5, 5, 4], "4663": [4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 2, 4, 3, 4, 4, 3, 4, 1, 2, 3, 1, 4, 2, 3, 4, 3, 3, 4, 5, 4, 2, 3, 4, 3, 2, 3, 3, 3, 5, 3, 3, 4, 2, 4, 3, 4, 4, 4, 1, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 1, 2, 4, 4, 5, 2, 3, 3, 3, 4, 4, 4, 4, 1, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 1, 3, 5, 2, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 5, 3, 3, 4, 4, 3, 3, 4, 3, 3, 2, 5, 3, 3, 4, 3, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 1, 3, 3, 4, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 2, 2, 5, 3, 1, 4, 4, 3, 1, 3, 3, 4, 4, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 4, 2, 5], "5743": [5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 2, 5, 4, 5, 5, 5, 5], "1951": [5, 3, 4, 4, 3, 1, 3, 2, 3, 3, 4, 5, 4, 3, 4, 1, 3, 4, 4, 4, 1, 2, 3, 3, 3, 1, 1, 1, 3, 4, 5, 4, 4, 2, 3, 2, 5, 3, 3, 4, 4, 2, 4, 5, 5, 3, 2, 3, 1, 3, 2, 2, 5, 4, 3, 4, 3, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 2, 3, 1, 4, 1, 1, 1, 1, 3, 2], "1700": [2, 3, 5, 4, 4, 5, 3, 4, 5], "4421": [4, 4, 4, 5, 4, 5], "2921": [2, 4, 4, 2, 4, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 4, 5, 4, 3, 4, 2, 4, 2, 4, 2, 2, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 3, 2, 3, 4, 4, 4, 2, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 2, 5, 5, 3, 4, 3, 3, 2, 3, 3, 3, 2, 4, 3, 4, 4, 5, 2, 4, 2, 3, 2, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 2, 3, 4, 2, 3], "225": [4, 4, 4, 5, 5, 5, 3, 2, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 2, 4, 3, 3, 4, 4, 3, 3, 5, 3, 5, 4, 3, 3, 4, 5, 5, 4, 2, 5, 4, 5, 3, 4, 4, 2, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 2, 4, 1, 4, 4, 4, 4, 4, 2, 5, 4, 5, 2, 4, 4, 4, 2, 5, 4, 4, 4, 4, 5, 2, 4, 4, 3, 2, 5, 3, 2, 2, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 3, 2, 5, 4, 3, 5, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 4, 3, 2, 2, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 1, 3, 5, 4, 3, 4, 2, 3, 4, 5, 4, 2, 3, 1, 3, 5, 3, 4, 5, 1, 3, 4, 3, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 1, 3, 2, 3, 4, 5, 4, 4, 4, 4, 2, 4, 2, 4, 4, 3, 3, 5, 2, 4, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 4, 4, 3, 5, 3, 5, 5, 3, 3, 4, 5, 3, 5, 2, 1, 4, 4, 4, 4, 2, 3, 4, 3, 3, 3, 3, 5, 5, 4, 3, 4, 3, 5, 4, 4, 1, 5, 2, 3, 4, 3, 5, 2, 3, 4, 3, 3, 4, 1, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 2, 4, 3, 5, 5, 1, 2, 4, 2, 4, 5, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 5, 3, 3, 4, 1, 4, 2, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 5, 3], "1631": [2, 4, 4, 4, 3, 5, 3, 3, 4, 4, 3, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 3, 4, 5, 3, 1, 3, 4, 3, 4, 5, 3, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 1, 3, 3, 4, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 5, 5, 5, 4, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 5, 2, 5, 3, 3, 5, 4, 5, 3, 3, 5, 3, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 4, 4, 3, 1, 4, 3, 5, 4, 2, 5, 5, 2, 4, 3, 3, 3, 4], "2512": [5, 5, 4, 2, 5, 4, 4, 3, 4, 4, 5, 4, 2, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4], "784": [5, 1, 5, 5, 5, 5, 4, 5, 5, 5, 4], "5475": [2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 3, 3, 3, 5, 2, 4, 3, 4, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 3, 5, 4, 1, 3, 4, 5, 3, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 5, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 4, 3, 4, 5, 4, 3, 3, 5, 4, 2, 4, 4, 3, 4, 2, 4, 4, 3, 3, 5, 4, 2, 5, 5, 3, 4, 3, 5, 4, 2, 3, 5, 3, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 2, 5, 3, 2, 4, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 3, 3, 3, 3, 5, 4, 5, 1, 5, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 5, 3, 3, 3, 5, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5], "372": [5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 1, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 1, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 5, 4], "5740": [1, 3, 5, 3, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 2, 4, 4, 5, 1, 1, 4, 3, 3, 3, 3, 3, 2, 3, 1, 1, 1, 5, 1, 4, 1, 3, 4, 5, 5, 2, 2, 3, 2, 1, 1, 1, 3, 2, 2, 3, 3, 3, 1, 2, 1, 5, 4, 2, 5, 4, 2, 1], "5019": [3, 2, 4, 2, 3, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 2, 3, 4, 3, 4, 2, 3, 5, 3, 4, 2, 4, 3, 5, 4, 3, 5, 1, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 1, 3, 4, 4, 1, 1, 4, 4, 3, 2, 4, 3, 3, 2, 3, 4, 2, 5, 5, 3, 3, 4, 5, 3, 4, 5, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 5, 4, 4, 5, 3, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 3, 2, 2, 4, 1, 4, 2, 1, 4, 3, 2, 3, 3, 2, 1, 1, 3, 5, 2, 4, 4, 3, 2, 3, 4, 3, 1, 4, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 1, 3], "4148": [3, 3, 4, 5, 3, 4, 3, 4, 5, 3, 5, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 2, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5], "4704": [2, 1, 2, 4, 4, 3, 2, 2, 2, 2, 3, 2, 2, 4, 3, 1, 4, 3, 2, 3, 3, 3, 2, 4, 3, 1, 4, 1, 2, 1, 4, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 3, 2, 1, 1, 4, 4, 3, 4, 3, 3, 1, 3, 1, 2, 3, 1, 3, 3, 3, 3, 3, 1, 3, 5, 4, 2, 1, 1, 2, 3, 1, 3, 3, 3, 1, 2, 3, 1, 2, 1, 4, 1, 3, 3, 2, 2, 3, 5, 5, 3, 2, 1, 1, 3, 2, 3, 1, 2, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 4, 4, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 4, 4, 2, 2, 2, 2, 3, 3, 3, 5, 3, 3, 3, 3, 1, 4, 2, 4, 2, 2, 4, 1, 2, 2, 1, 2, 1, 1, 5, 2, 2, 1, 3, 2, 2, 1, 1, 3, 2, 2, 1, 3, 2, 2, 3, 3, 2, 5, 3, 2, 4, 2, 3, 4, 3, 2, 1, 3, 2, 4, 1, 4, 2, 2, 3, 2, 4, 3, 3, 5, 2, 1, 2, 1, 3, 1, 1, 1, 2, 2, 3, 1, 2, 2, 2, 1, 1, 3, 4, 3, 1, 4, 2, 2, 4, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 3, 1, 2, 3, 4, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 1, 2, 4, 2, 4, 2, 3, 3, 2], "4058": [2, 4, 2, 5, 4, 5, 5, 4, 4, 4, 3, 2, 4, 3, 4, 5, 5, 3, 5, 2, 5, 4, 4, 5, 3, 5, 3, 4, 3, 3, 5, 2, 5, 1, 3, 2, 4, 4, 3, 1, 4, 3, 5, 2, 4, 4, 2, 3, 5, 5, 4, 1, 3, 3, 3, 3, 3, 5, 5, 1, 5, 3, 2, 1, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 5, 4, 2, 5, 2, 4, 3, 2, 4, 4, 3, 5, 5, 4, 3, 5, 3, 4, 4, 3, 2, 3, 4, 3, 1, 4, 4, 4, 4, 2, 5, 5, 3, 4, 2, 1, 2, 4, 5, 4, 4, 5, 4, 1, 5, 2, 4, 4, 2, 1, 3, 4, 3, 3, 3, 5, 4, 2, 4, 3, 2, 1, 5, 2, 2, 4, 4, 2, 4, 2, 4, 4, 5, 4, 5, 5, 1, 3, 1, 4, 4, 3, 5, 2, 3, 4, 5, 2, 5, 3, 2, 2, 5, 3, 4, 1, 3, 3, 4, 2, 4, 1, 5, 2, 1, 4, 4, 1, 2, 4, 4, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 2, 1, 5, 1, 5, 4, 5, 1, 4, 2, 3, 1, 5, 3, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 1, 3, 5, 2, 3, 2, 5, 4, 5, 4, 1, 4, 5, 2, 3, 5, 2, 1, 4, 5, 2, 4, 1, 2, 5, 2, 1, 3, 1, 5, 4, 4, 2, 2, 1, 3, 5, 3, 5, 5, 2, 2, 5, 5, 3, 4, 4, 2, 4, 5, 5, 5, 5, 5, 4, 3, 1, 4, 2, 2, 4, 4, 2, 2, 1, 4, 4, 4, 2, 2, 4, 4, 2, 5, 4, 1, 2, 2, 1, 2, 1, 2, 4, 5, 4, 4, 4, 4, 4, 5, 1, 4, 2, 2, 4, 4, 1, 2, 4, 2, 4, 3, 5, 2, 2, 4, 4, 2, 3, 5, 4, 4, 3, 3, 5, 3, 3, 4, 5, 4, 4, 2, 3, 3, 5, 2, 3, 2, 3, 4, 4, 3, 2, 5, 5, 3, 4, 5, 5, 1, 5, 4, 3, 1, 5, 3, 3, 5, 3, 4, 2, 4, 1, 3, 5, 5, 4, 4, 3, 3, 4, 2, 4, 1, 4, 5, 1, 2, 4, 5, 3, 4, 3, 5, 4, 5, 2, 4, 3, 3, 5, 2, 5, 2, 4, 3, 3, 2, 2, 2, 2, 5, 2, 4, 2], "4206": [5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 3, 4, 3, 4, 5, 3, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5], "2084": [4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 5, 4, 3, 3, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5], "3910": [3, 5, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 3, 2, 4, 4, 4, 5, 3, 4, 4, 1, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 2, 5, 3, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4, 3, 5, 4, 5, 4, 5, 4, 2, 4, 3, 1, 3, 4, 4, 2, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 1, 5, 4, 3, 4, 5, 3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 2, 4, 3, 5, 4, 3, 3, 1, 4, 3, 1, 3, 2, 5, 3, 1, 5, 2, 5, 4, 4, 4, 1, 2, 2, 5, 2, 2, 2, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 2, 1, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 3, 4, 3, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 1, 3, 5, 5, 5, 4, 2, 3, 1, 5, 5, 4, 5, 5, 3, 4, 4, 1, 4, 2, 1, 1, 4, 3, 3, 4, 4, 3], "863": [5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 2, 5, 4, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5], "4622": [2, 3, 4, 4, 5, 4, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4], "2188": [3, 2, 3, 1, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 5, 5, 3, 3, 2, 2, 3, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 5, 1, 3, 2, 4, 4, 3, 3, 4, 2, 3, 3, 2, 4, 4, 2, 3, 3, 2, 4, 1, 1, 3, 2, 3, 1, 4, 3, 3, 4, 3, 3, 1, 5, 4, 4, 3, 2, 4, 3, 4, 2, 3, 2, 2, 4, 3, 3, 3, 3, 4, 1, 2, 3, 2, 3, 2, 4, 2, 2, 3, 3, 3, 4, 2, 4, 3, 3, 3, 2, 2, 4, 3, 1, 3, 3, 3, 2, 5, 4, 3, 2, 4, 3, 2, 4, 3, 4, 1, 3, 4, 5, 1, 3, 1, 4, 2, 3, 2, 3, 3, 4, 3, 2, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 5, 5, 2, 4, 2, 5, 3, 1, 3, 4, 4, 3, 3, 2, 4, 3, 3, 4, 2, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 1, 4, 4, 3, 4, 3, 4, 4, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 4, 2, 3, 1, 4, 4, 4, 1, 2, 3, 3, 4, 4, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 1, 4, 2, 3, 3, 4, 2, 5, 4, 3, 2, 3, 5, 2, 5, 2, 4, 3, 3, 2, 3, 3, 5, 5, 3, 3, 3, 3, 4, 4, 2, 3, 2, 1, 4, 3, 3, 3, 4, 3, 4, 3, 5, 3, 1, 2, 3, 3, 3, 4, 1], "4489": [3, 2, 3, 5, 5, 5, 5, 4, 3, 5, 4, 5, 3, 4, 2, 5, 3, 2, 5, 4, 5, 3, 5, 3, 5, 4, 4, 3, 5, 3, 5, 3, 3, 3, 4, 2, 3, 4, 5, 4, 5, 3, 5, 5, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 2, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 1, 5, 5, 4, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 5, 5, 5, 4, 2, 4, 5, 5, 4, 3, 4, 4, 5, 5, 2, 4, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 3, 4, 5, 4, 2, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 4, 5, 3, 3, 2, 4, 4, 4, 2, 5, 4, 5, 3, 3, 3, 4, 3, 5, 4, 5, 5, 4, 3, 3, 4, 5, 4, 2, 3, 2, 2, 5, 3, 3, 3, 4, 5, 3, 5, 5, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 2, 3, 4, 4, 3, 3, 4, 4, 1, 5, 5, 5, 4, 3, 2, 4, 4, 3, 2, 3, 5, 5, 5, 3, 5, 1, 5, 4, 5, 3, 4, 4, 3], "3129": [4, 5, 2, 3, 5, 2, 5, 4, 2, 1, 2, 5, 5, 2, 4, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 3, 3, 1, 5, 3, 5, 5, 3, 1, 5, 1, 5, 1, 1, 3, 2, 5, 4, 1, 4, 1, 3, 4, 3, 4, 1, 4, 2, 2, 3, 3, 2, 3, 4, 2, 4, 5, 5, 3, 3, 3, 2, 5, 3, 2, 5, 2, 1, 1, 4, 3, 4, 3, 5, 4, 3, 4, 4, 3, 3, 5, 3, 4, 3, 2, 5, 4, 4, 4, 2, 3, 5, 3, 3, 2, 3, 2, 5, 3, 3, 2, 1, 3, 2, 5, 5, 1, 3, 4, 5, 2, 4, 1, 1, 1, 4, 2, 5, 3, 3, 3, 3, 2, 3, 2, 4, 3, 3, 1, 4, 2, 2, 2, 3, 4, 3, 4, 3, 5, 5, 1, 1, 4, 1, 2, 2, 5, 5, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 3, 2, 1, 3, 4, 3, 3, 3, 2, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 5, 4, 2, 2, 2, 5, 3, 4, 2, 2, 2, 4, 5, 3, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 2, 3, 1, 3, 3, 4, 1, 2, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 2, 3, 1, 2, 5, 4, 4, 3, 4, 1, 4, 2, 3, 1, 3, 4, 4, 1, 5, 5, 2, 4, 3, 3, 5, 2, 5, 3, 1, 4, 3, 1, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 1, 4, 3, 5, 5, 4, 3, 3, 3, 3, 4, 2, 2, 5, 3, 3, 4, 4, 1, 5, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 1, 1, 4, 5, 4, 4, 4, 3, 3, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 4, 5, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 1, 3, 3, 4, 4, 4, 2, 3, 4, 4, 3, 3, 4, 5, 5, 1, 1, 4, 2, 5, 5, 3, 3, 3, 3, 2, 4, 2, 3, 4, 2, 1, 4, 5, 4, 4, 4, 3, 2, 3, 3, 4, 2, 3, 3, 4, 1, 5, 4, 5, 3, 2, 5, 3, 5, 4, 2, 2, 3, 1, 1, 1, 4, 4, 5, 1, 5, 5, 3, 4, 3, 3, 2, 4, 4, 5, 4, 4], "1193": [4, 3, 3, 3, 5, 5, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 5, 2, 5, 2, 3, 3, 1, 3, 3, 1, 2, 2, 3, 2, 4, 2, 3, 4, 4, 2, 2, 2, 1, 4, 3, 4, 3, 4, 2, 4, 2, 3, 1, 3, 2, 4, 3, 1, 4, 4, 2, 3, 2, 5, 1, 4, 2, 3, 1, 2, 2, 3, 2, 4, 4, 3, 5, 2, 5, 2, 5, 5, 2, 2, 1, 3, 2, 3, 2, 4, 2, 3, 1, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 4, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 5, 4, 2, 3, 2, 3, 4, 2, 3, 3, 2, 2, 2, 4, 4, 3, 1, 1, 2, 2, 3, 1, 4, 4, 2, 2, 1, 4, 1, 4, 5, 4, 3, 2, 4, 3, 1, 4, 1, 3, 1, 3, 3, 1, 3, 4, 1, 3, 2, 3, 1, 4, 4, 5, 2, 5, 4, 4, 2, 1, 4, 3, 3, 2, 3, 4, 5, 3, 3, 3, 1], "1670": [3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4], "5390": [4, 4, 2, 5, 5, 4, 4, 3, 3, 2, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 3, 5, 2, 2, 3, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 4, 2, 4, 4, 5, 5, 2, 4, 4, 3, 2, 4, 3, 5, 4, 4, 3, 3, 3, 4, 5, 4, 1, 5, 5, 5, 4, 2, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 1, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 2, 5, 4, 5, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4], "2811": [3, 4, 2, 3, 3, 2, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 5, 2, 3, 5, 5, 4, 4, 5, 3, 5, 3, 5, 4, 4, 3, 5, 5, 3, 3, 4, 4, 5, 4], "4481": [4, 4, 5, 4, 4, 5, 3, 2, 3, 4, 3, 4, 3, 2, 2, 4, 3, 4, 3, 4, 4, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 3, 2, 3], "2864": [5, 1, 1, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4], "3698": [2, 5, 4, 1, 2, 4, 5, 4, 4, 1, 1, 3, 3, 3, 2, 1, 3, 2, 5, 1, 1, 4, 5, 5, 3, 2, 2, 1, 2, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 1, 1, 3, 3, 2, 1, 5, 4, 2, 4, 5, 4, 1, 3, 3, 4, 5, 2], "2430": [3, 4, 4, 5, 5, 3, 5, 1, 2, 5, 5, 1, 4, 1, 4, 4, 5, 3, 4, 5, 2, 1, 5, 3, 1, 4, 5, 5, 5, 2, 5, 5, 5], "4656": [4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 2, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 5, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 5, 3, 5, 5, 3, 2, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 3, 5, 3, 2, 4, 4, 3, 4, 4, 5, 4], "3344": [4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 4, 3, 5, 4], "2477": [4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5], "1542": [4, 5, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 2, 5, 3, 4, 4, 5, 4, 5, 4, 3, 2, 4, 4, 3, 3, 5, 4, 5, 4, 4, 3, 4, 4, 2, 5, 4, 5, 3, 5, 4, 4, 1, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 2, 3, 2, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 5, 3, 4, 4, 4, 1, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 3, 3, 3, 4, 4, 5, 4, 3, 4, 5, 3, 2, 3, 4, 4, 4, 5, 4, 5, 3, 2, 3, 1, 5, 3, 4, 4, 5, 3, 5, 4, 2, 3, 2, 3, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 3, 5, 1, 3, 4, 3, 4, 4, 3, 4, 3, 1, 4, 4, 4, 2, 4, 5, 5, 5, 2, 3, 3, 4, 4, 2, 4, 5, 4, 3, 4, 3, 3, 5, 1, 3, 5, 3, 4, 3, 5, 2, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 2, 3, 5, 4, 3, 3, 4, 4, 5, 2, 2, 3, 3, 5, 5, 3, 4, 5, 4, 5, 2], "195": [3, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 1, 3, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 5, 5, 5, 5, 3, 2, 4, 4, 2, 4, 1, 4, 5, 4, 5, 2, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 2, 4, 2, 3, 5, 3, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 2, 5, 2, 5, 5, 4, 5, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 3, 3, 5, 3, 5, 4, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 5, 5, 1, 3, 4, 2, 5, 2, 3, 2, 4, 5, 3, 3, 2, 3, 4, 4, 4, 5, 4, 2, 4, 5, 4, 3, 5, 2, 3, 5, 3, 4, 2, 5, 5, 4, 5, 5, 2, 1, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 1, 5, 3, 3, 4, 5, 2, 3, 3, 2, 5, 3, 5, 2, 4, 3, 1, 3, 4, 5, 5, 1, 5, 5, 4, 4, 4, 5, 2, 4, 4, 5, 5, 4, 4, 5, 4, 3, 1, 3, 5, 4, 4, 3, 3, 3, 3, 5, 4, 5, 4, 4, 4, 2, 3, 5, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 1, 5, 5, 5, 3, 3, 3, 4, 2, 4, 4, 3, 3, 4, 5, 5, 5, 5, 2, 4, 5, 5, 3, 2, 3, 3, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 3, 4, 5, 5, 4, 5, 3, 3, 4, 3, 5, 2, 2, 5, 4, 4, 3, 5, 4, 5, 4, 1, 5, 5, 4, 2, 4, 3, 4, 3, 4, 4, 3, 5, 3, 3, 5, 4, 4, 5, 5, 5, 3, 1, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 4, 2, 5, 5, 5, 5, 3, 4, 2, 2, 4, 4, 3, 3, 3, 5, 5, 3, 5, 5, 4, 1, 4, 4, 3, 5, 5, 2, 2, 5, 3, 5, 5, 5, 4, 3, 4, 5, 3, 5, 4, 2, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 2, 5, 3, 1, 5, 5, 3, 5, 5, 3, 4, 5, 4, 1, 4, 4, 2, 5, 5, 5, 4, 4, 3, 4, 5, 5, 2, 5, 3, 5, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 5, 3, 5, 2, 4, 5, 4, 5, 3, 3, 5, 2, 5, 3, 5, 4, 3, 4, 3, 5, 3, 5, 5, 5, 3, 3, 4, 1, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 3, 4, 5, 3, 5, 4, 4, 5, 3, 5, 5, 2, 2, 4, 5, 5, 2, 2, 4, 5, 4, 5, 5, 1, 5, 4, 5, 2, 4, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 2, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 2, 5, 4, 5, 4, 5, 5, 4, 3, 5], "2533": [3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 5, 5, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 4, 5, 2, 4, 4, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 2, 3, 3, 4, 4, 5, 5, 3, 2, 4, 4, 5, 4, 4, 4, 4, 4, 2, 3, 5, 5, 4, 4, 4, 3, 5, 5], "5340": [4, 3, 3, 1, 5, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 2, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 2, 3, 4, 3, 4, 3, 4, 1, 5, 5, 4, 4, 5, 4, 3, 2, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 2, 3, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3], "5270": [3, 4, 5, 2, 5, 4, 2, 3, 2, 1, 2, 5, 5, 2, 3, 5, 3, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 2, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 2, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 1, 4, 3, 3, 2, 4, 4, 5, 5, 5, 4, 3, 3, 4, 3, 3, 5, 3, 4, 1, 1, 2, 5, 4, 4, 4, 5, 4, 5, 5, 3, 2, 5, 2, 4], "2605": [4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 5, 3, 5, 5, 4, 3, 3, 1, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 1, 3, 4, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 5, 5, 3, 4, 2, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 5, 3, 4, 4, 5, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 5], "4464": [3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 4, 5, 1, 1, 5, 5, 2, 4], "2820": [2, 4, 2, 4, 4, 3, 2, 2, 2, 5, 3, 2, 5, 3, 4, 3, 2, 4, 3, 3, 2, 4, 5, 3, 4, 4, 2, 4, 2, 4, 2, 3, 3, 3, 2, 5, 2, 2, 2, 2, 3, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 2, 3, 2, 5, 3, 5, 2, 2, 3, 4, 2, 3, 3, 3, 4, 2, 4, 3, 2, 3, 4, 2, 2, 3, 4, 2, 4, 4, 2, 3, 3, 4, 2, 3, 4, 5, 5, 2, 5, 4, 3, 2, 3, 3, 2, 4, 4, 3, 2, 3, 2, 2, 2, 3, 1, 4, 2, 3, 3, 4, 2, 4, 2, 4, 4, 4, 2, 3, 3, 2, 2, 3, 3, 2, 4, 3, 5, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 3, 4, 3, 2, 4, 2, 3, 4, 3, 2, 2, 4, 3, 5, 3, 2, 2, 2, 3, 3, 4, 4, 3, 4, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 4, 3, 2, 3, 2, 2, 5, 2, 3, 4, 3, 5, 2, 2, 4, 1, 2, 2, 3, 2, 4, 5, 2, 3, 2, 3, 2, 1, 2, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 2, 2, 4, 3, 4, 2, 4, 1, 4, 5, 2, 3, 4, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 2, 2, 4, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 3, 5, 4, 2, 2, 4, 2, 4, 4, 2, 4, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 1, 3, 3, 4, 2, 2, 5, 4, 2, 2, 5, 3, 2, 3, 1, 3, 3, 3, 3, 3, 2, 2, 2, 1, 4, 3, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 3, 3, 5, 3, 4, 4, 3, 3, 4, 5, 4, 2, 2, 2, 2, 3, 3, 3, 4, 4, 2, 3, 2, 4, 3, 5, 5, 2, 3, 3, 4, 4, 3, 2, 3, 4, 3, 2, 3, 3, 3, 1, 1, 5, 4, 2, 4, 2, 3, 5, 3, 2, 3, 2, 4, 2, 5, 4, 4, 4, 3, 5, 2, 2, 3, 3, 2, 2, 3, 5, 2, 2, 5, 2, 4, 3, 2, 4, 2, 2, 5, 2, 2, 2, 4, 3, 3, 2, 2, 2, 3, 4, 4, 3, 4, 3, 4, 2, 1, 5, 2, 5, 3, 3, 2, 2, 2, 3, 3, 3, 2, 4, 2, 4, 2, 2, 3, 2, 2, 1, 3, 4, 4, 4, 2, 2, 2, 4, 3, 2, 5, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 5, 4, 3, 2, 2, 4, 3, 1, 2, 2, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 2, 2, 5, 4, 4, 2, 3, 3, 2, 4, 3, 4, 2, 4, 3, 3, 2, 3, 2, 2, 2, 2, 4, 3, 4, 4, 2, 4, 4, 3, 2, 3, 3, 2, 3, 3, 4, 2, 3, 3, 2, 3, 4, 2, 2, 2, 2, 4, 5, 2, 3, 2, 3, 3, 4, 2, 5, 3, 2, 4, 3, 3, 2, 2, 2, 4, 2, 2, 3, 2, 3, 3, 2, 5, 2, 4, 2, 4, 5, 2, 4, 2, 2, 5, 3, 3, 2, 4, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 4, 3, 2, 2, 4, 2, 2, 3, 4, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 4, 2, 2, 2, 3, 4, 3, 3, 2, 3, 3, 3, 5, 3, 2, 5, 4, 4, 2, 3, 5, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 4, 3, 2, 3, 2, 2, 5, 4, 2, 5, 2, 3, 3, 3, 3, 2, 4, 2, 2, 2, 5, 4, 4, 3, 2, 2, 1, 3, 5, 3, 5, 4, 3, 2, 2, 5, 2, 5, 5, 2, 4, 3, 4, 4, 4, 2, 2, 5, 4, 5, 4, 5, 2, 5, 5, 5, 2, 4, 2, 4, 5, 2, 3, 5, 4, 3, 5, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 3, 3, 4, 3, 5, 4, 2, 4, 3, 3, 4], "1407": [5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 3, 5, 2], "4584": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5], "4898": [4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 2, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 3, 5, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 2, 5, 5, 4, 4, 4, 2, 4], "5072": [5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 3, 5, 2, 2, 2, 2, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 3, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5], "926": [4, 3, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 1, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4], "2493": [3, 3, 5, 5, 5, 3, 5, 4, 5, 5, 3, 5, 2, 3, 3, 3, 4, 4, 2, 2, 3, 4, 4, 3, 2, 4, 3, 3, 3, 5, 5, 3, 2, 3, 5, 3, 5, 2, 5, 4, 2, 1, 4, 2, 3, 5, 3, 4, 4, 4, 2, 3, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 3, 5], "2484": [5, 3, 3, 5, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 5, 5, 4, 4, 3, 4, 4, 1, 1, 4, 5, 4, 4, 2, 3, 2, 4, 4, 4, 3, 5, 3, 2, 2, 3, 4, 2, 3, 4, 2, 4, 4, 3, 3, 3, 2, 3, 2, 4, 3, 4, 3, 4, 4, 3, 5, 2, 2, 5, 2, 2, 3, 3, 1, 5, 1, 4, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 1, 4, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 5, 2, 4, 4, 4, 4, 3, 4, 3, 3, 1, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 1, 2, 4, 2, 3, 4, 2, 4, 3, 4, 3, 3, 4, 3, 5, 2, 2, 1, 3, 4, 3, 4, 2, 2, 3, 4, 4, 3, 4, 5, 4, 3, 2, 4, 2, 2, 1, 5, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 2, 5, 3, 4, 4, 2, 4, 2, 3, 5, 3, 4, 4, 2, 3, 3, 3, 3, 3, 3, 1, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 1, 2, 2, 2, 3, 2, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 2, 2, 4, 3, 2, 3, 3, 3, 2, 2, 4, 4, 5, 1, 3, 3, 3, 4, 4, 3, 5, 3, 5, 4, 3, 3, 2, 3, 4, 3, 4, 2, 2, 3, 4, 4, 2, 3, 5, 5, 5, 3, 4, 5, 3, 4, 2, 5, 3, 2, 4, 3, 4, 2, 2, 5, 5, 2, 4, 4, 2, 3, 3, 2, 4, 2, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 2, 5, 3, 3, 3, 3, 5, 2, 3, 4, 3, 5, 3, 5, 3, 2, 3, 4, 4, 3, 4, 2, 1, 3, 5, 2, 3, 5, 3, 5, 5, 1, 4, 4, 2, 4, 4, 3, 3, 3, 5, 4, 5, 3, 3, 5, 4, 5, 4, 3, 3, 5, 3, 4, 3, 3, 5, 3, 3, 2, 3, 5, 4, 4, 5, 4, 5, 4, 1, 3, 5, 3, 3, 4, 2, 2, 1, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 2, 5, 1, 5, 4, 3, 3, 4, 3, 5, 3, 3, 5, 2], "4328": [5, 4, 3, 4, 4, 1, 3, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 2, 3, 2, 5, 4, 3, 5, 4, 4, 4, 4, 2, 3, 1, 4, 3, 3, 1, 3, 4, 3, 4, 3, 5, 3, 4, 1, 3, 5, 5, 4, 2, 5, 4, 4, 1, 4, 5, 4, 3, 4, 2, 3, 4, 4, 1, 4, 3, 2, 5, 3, 5, 4, 3, 4, 3, 4, 4, 1, 5, 5, 2, 3, 4, 3, 1, 2, 2, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 1, 3, 5, 4, 5, 5, 4, 5, 5, 4, 5, 2, 5, 1, 5, 5, 5, 4, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 3, 4, 5, 4, 3, 4, 2, 4, 2, 4, 4, 3, 4, 3, 3, 2, 5, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 2, 3, 5, 4, 3, 2, 2, 4, 5, 4, 3, 4, 4, 4, 3, 4, 1, 4, 3, 1, 3, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 3, 5, 1, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3], "1372": [4, 3, 1, 4, 4, 1, 5, 3, 2, 3, 1, 3, 4, 3, 4], "5674": [5, 3, 5, 5, 4, 3, 4, 4, 5, 2, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 2, 5, 2, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4], "4124": [3, 3, 5, 3, 3, 5, 4, 4, 4, 2, 4, 5, 3, 2, 4, 4, 3, 3, 3, 5, 2, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 5, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 1, 4, 3, 3, 4, 2, 3, 3, 2, 2, 3, 4, 3, 5, 4, 3, 3, 3, 4, 2, 2, 3, 4, 4, 4, 3, 1, 2, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 4, 2, 4, 4, 3, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 5, 4, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 5, 3, 4, 3, 5, 2, 2, 4, 1, 3, 4, 3, 3], "121": [4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 2, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 2, 4, 4, 4], "2070": [4, 4, 5, 5, 5, 5, 4, 5, 3, 5, 2, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5], "4096": [4, 4, 2, 4, 3, 5, 3, 4, 4, 3, 2, 2, 4, 5, 5, 3, 3, 2, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 3, 1, 1, 4, 4, 5, 5, 4, 2, 5, 5, 3, 4, 5, 5, 4, 2, 4, 3, 4, 4, 5, 3, 3, 3, 4, 5, 2, 4, 1, 3, 4, 2, 4, 2, 1, 4, 2, 3, 2, 1, 5, 3, 2, 1, 3, 3, 4, 3, 5, 3, 3, 4, 5, 5, 2, 1, 2, 3, 2, 2, 5, 3, 2, 4, 4, 2, 4, 5, 3, 4, 3, 4, 3, 2, 5, 4, 2, 3, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 2, 3, 3, 3, 3, 3, 1, 4, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 5, 1, 3, 4, 3, 4, 4, 2, 4, 3, 4, 2, 2, 2, 2, 2, 2, 3, 5, 3, 4, 3, 1, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 3, 3, 1, 4, 4, 3, 2, 2, 4, 3, 3, 4, 3, 4, 3, 5, 5, 2, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 3, 4, 4, 3, 3, 5, 3, 3, 3, 4, 5, 4, 5, 2], "2381": [2, 3, 4, 5, 2, 2, 3, 3, 2, 4], "2790": [3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3], "4159": [4, 4, 5, 3, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 5, 2, 3], "1649": [1, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 2, 4, 5, 5, 5, 4, 1, 4, 3, 1, 4, 5, 5, 2, 5, 3, 3, 3, 5, 4, 3, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 3, 3, 3, 4, 3, 5, 5, 4, 2, 2, 5], "1568": [3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 3], "3848": [4, 4, 5, 5, 3, 5, 3, 5, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 2, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 2, 2, 1, 5, 5, 1, 5, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 3, 5, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3], "1132": [5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 3, 5, 4, 5, 4, 3, 4, 5, 5, 5, 3, 4, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 2, 5, 3, 2, 5, 5, 5, 1, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 3, 5, 3, 5, 4, 4, 5, 5, 4, 4, 2, 4, 3, 5, 5, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4], "4419": [2, 1, 4, 3, 4, 1], "4090": [5, 2, 3, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 2, 2, 3, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 2, 5, 2, 4, 4, 2, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 3, 3, 5, 5, 3, 1, 5, 5, 4, 3, 4, 5, 4, 2, 4, 5, 3, 3, 4, 4, 5, 5, 4, 5, 2, 4, 5, 4, 4, 3, 1, 3, 2, 5, 5, 3, 3, 5, 4, 5, 1, 5, 3, 5, 5, 4, 2, 3, 5, 4, 4, 4, 4, 1, 4, 4, 4, 1, 2, 5, 2, 5, 3, 4, 5, 4, 5, 4, 3, 3, 5, 2, 4, 5, 5, 3, 2, 3, 3, 3, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 1, 3, 3, 2, 4, 3, 4, 5, 5, 4, 5, 4, 2, 4, 4, 4, 1, 4, 1, 4, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 5, 4, 3, 5, 4, 3, 5, 4, 4, 5], "2673": [3, 5, 5, 5, 2, 5, 4, 2, 1], "4225": [4, 4, 3, 3, 5, 4, 3, 3, 5, 4, 1, 3, 5, 3, 4, 4, 5, 3, 4, 3, 3, 2, 1, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 3, 5, 4, 2, 3, 3, 4, 5, 4, 3, 4, 4, 5, 5, 3, 3, 5, 5, 5, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 4, 3, 2, 3, 3, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 3, 3, 4, 4, 4, 5, 4, 5, 3, 3, 3, 5, 3, 2, 3, 4, 5, 3, 4, 3, 5, 4, 4], "4945": [4, 4, 3, 5, 3, 2, 4, 3, 3, 5, 5, 3, 4, 3, 5, 3, 3, 4, 4, 2, 5, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 4, 3, 5, 5, 3, 3, 4, 4, 5, 5, 4, 4, 5, 3, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 4, 4, 5, 3, 4, 3, 4, 3, 5, 3, 3, 4, 5, 3, 4, 2, 4, 4, 3, 3, 4, 4], "4372": [4, 5, 4, 4, 4, 5, 5, 3, 4, 5], "707": [5, 5, 2, 4, 5, 4, 2, 2, 4, 4, 4, 3, 4, 4, 2, 2, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 2, 5, 4, 5], "4118": [4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 2, 1, 3, 5, 4, 5, 4, 4, 2, 2, 3, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 1, 5, 4, 5, 3, 1, 4, 4, 5, 5, 4, 4, 4, 2, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 2, 3, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 2, 4, 4, 5, 4, 5, 3, 5, 3, 3, 4, 5, 5, 4, 5], "2399": [3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 1, 3, 3, 5, 4, 3, 4, 4], "4828": [3, 3, 3, 4, 5, 5, 3, 3, 5, 3, 4, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 1, 3, 4, 3, 4, 5, 3, 3, 3, 5, 3, 5, 3, 4, 3, 5, 5, 3, 4, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 5, 3, 4], "201": [4, 3, 4, 5, 4, 4, 2, 1, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 5, 4, 5, 4, 5], "3356": [5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 4, 4, 3, 5, 5, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 1, 5, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 2, 5, 5, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 5, 2, 5, 4, 4, 4, 5, 2, 5, 5, 5, 3, 2, 4, 4, 5, 4, 5, 3, 3, 5, 4, 3, 3, 4, 4, 5, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5], "2978": [3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 2, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 2, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 4, 3, 4, 2, 3, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 4, 4, 4, 5, 1, 4, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 2, 3], "5063": [3, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 3, 4, 3, 4, 5, 5, 5, 2, 5, 2, 3, 3, 4, 4, 4, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 1, 4, 4, 4, 2, 5, 5, 3, 3, 5, 5, 3, 3, 5, 3, 4, 1, 4, 5, 5, 2, 4, 3, 4, 5], "4557": [3, 5, 4, 4, 5, 2, 4, 3, 3, 2, 4, 5, 5, 4, 4, 3, 4, 2, 3, 1, 5, 2, 5, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 2, 4, 4, 4, 3, 4, 5, 4, 5, 2, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 2, 4, 3, 3, 4, 2, 4, 5, 5], "1959": [5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5], "718": [4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 2, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 5, 1, 2, 5, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 2, 5, 4, 4, 2, 2, 5, 4, 2, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 3, 1], "3073": [4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 2, 5, 5, 5, 4, 5, 3, 3, 4, 5, 5, 3, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5], "1502": [3, 3, 4, 3, 4, 4, 4, 3, 4, 1, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 2, 3, 3, 4, 1, 4, 4, 5, 5, 4, 2, 4, 4, 3, 4, 2, 2, 5, 1, 4, 3, 4, 3, 4, 4, 3, 2, 2, 4, 2, 4, 5, 4, 4, 4, 5, 2, 1, 4, 2, 3, 2, 4, 4, 3, 4, 3, 3, 4, 1, 4, 1, 3, 5, 4, 2, 3, 5, 3, 5, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 5, 2, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 5, 2, 3, 1, 4, 3, 4, 4, 3, 4, 5, 5, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 2, 4, 4, 5, 1, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 5, 5, 3, 2, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 2, 4, 5, 4, 5, 4, 1, 4, 5, 1, 3, 2, 5, 3, 3, 3, 5, 4], "2488": [5, 3, 5, 3, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4], "3793": [1, 2, 1, 1, 2, 3, 4, 4, 2, 1, 3, 2, 3, 1, 3, 1, 1, 2, 1, 4, 3, 3, 3, 1, 3, 1, 5, 5, 2, 1, 1, 4, 2, 1, 4, 4, 3, 2, 3, 3, 3, 4, 2, 4, 2, 2, 3, 4, 3, 1, 3, 1, 3, 1, 2, 3, 3, 5, 1, 3, 5, 3, 1, 2, 3, 1, 4, 2, 2, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 4, 3, 2, 3, 2, 5, 1, 5, 3, 2, 3, 1, 1, 1, 1, 5, 2], "2253": [4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 3, 5, 5, 2, 4, 5, 3, 4, 5, 3, 5, 5, 5, 1, 4, 4, 5], "3597": [5, 3, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 1, 4, 2, 4, 4, 1, 4, 5, 4, 3, 4, 4, 2, 5, 5, 5, 4, 3], "861": [3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 3, 5, 2, 4, 5, 5, 3, 4, 3, 5, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 2, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3], "2516": [5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 3], "1569": [5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5], "3490": [3, 5, 4, 5, 2, 5, 5, 4, 4, 4, 3, 5, 3, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 4, 2, 5, 2, 4, 4, 3, 5, 3, 5, 4, 4, 2, 3, 5, 5, 2, 5, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 2, 2, 5, 4, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 1, 5, 2, 5, 4, 3, 2, 3, 5, 4, 4, 4, 1, 5, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 4, 3, 5, 3, 4, 2, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 2, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5], "98": [4, 5, 3, 3, 3, 5, 3, 3, 4, 1, 5, 4, 5, 4, 2, 5, 3], "3686": [4, 3, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5], "2104": [5, 2, 2, 3, 3, 3, 4, 2, 3, 4, 3, 2, 5, 4, 2, 4, 2, 4, 3, 3, 3, 3, 2, 4, 1, 1, 4, 2, 3, 4, 3, 2, 3, 5, 2], "48": [3, 3, 2, 3, 3, 3, 3, 2, 3, 5, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 4, 2, 5, 3, 3, 3, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 5, 3, 3, 2, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 3, 2, 2, 3, 3, 5, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 4, 2, 2, 4, 5, 4, 3, 2, 3, 3, 4, 4, 4, 1, 4, 2, 2, 2, 4, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 2, 4, 3, 3, 4, 3, 5, 2, 2, 1, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 1, 4, 5, 3, 2, 3, 4, 3, 3, 2, 3, 2, 4, 3, 2, 2, 3, 2, 3, 3, 3, 4, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 2, 4, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 5, 2, 2, 2, 1, 2, 4, 3, 2, 4, 3, 3, 3, 4, 5, 3, 3, 3, 2, 4, 4, 3, 2, 2, 2, 3, 2, 4, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 2, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 2, 2, 3, 5, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 2, 2, 2, 3, 3, 2, 2, 2, 5, 3, 4, 3, 2, 4, 3, 3, 4, 2, 2, 4, 3, 3, 4, 5, 3, 3, 3, 4, 2, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 3, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 2, 4, 3, 4, 3, 3, 2, 2, 3, 4, 1, 4, 3, 3, 1, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 3, 5, 4, 2, 2, 3, 4, 3, 3, 3, 4, 3, 2, 4, 3, 2, 3, 4, 3, 4, 2, 4, 4, 3, 3, 4], "3588": [5, 4, 5, 5, 2, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 3, 3, 4, 4, 5, 3, 5, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 5, 3, 4, 4, 4, 5, 4, 5, 3, 5, 3, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 5, 2, 5, 5, 5, 3, 5, 3, 4, 4, 5, 3, 3, 5, 3, 4, 2, 2, 4, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 1, 5, 4, 2, 4, 5, 5, 4, 4, 4, 2, 5, 4, 1, 5, 5, 3, 5, 4, 1, 4, 5, 4, 2, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 2, 3, 5, 3, 5, 3, 3, 5, 3, 2, 5, 5, 2, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 4, 3, 5, 4, 5, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 3, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5], "5406": [3, 4, 5, 4, 4, 3, 3, 3, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 2, 3, 3, 4, 2, 3, 4, 4, 1, 4, 3, 4, 5, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 5, 3, 4, 5, 3, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 2, 2, 5, 3, 2, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 5, 5, 4, 2, 3, 3, 5, 4, 3, 3, 4, 4, 3, 2, 4, 3, 2, 3], "1142": [4, 1, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 2, 1, 4, 5, 4, 4, 2, 4, 5, 4, 4, 3, 5, 3, 1, 3, 3, 4, 3, 4, 4, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 4, 3, 5, 4, 1, 3, 2, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 1, 4, 2, 3, 4, 2, 3, 5, 4, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 3, 4, 2, 5, 4, 4, 2, 3, 4, 3, 3, 5, 5, 4, 3, 2, 5, 1, 5, 5, 4, 5, 3, 4, 5, 4, 2, 2, 2, 4, 3, 3, 2, 1, 3, 4, 4, 3, 4, 4, 2, 4, 4, 5, 1, 4, 5, 5], "3303": [4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4], "5772": [3, 5, 3, 4], "1394": [3, 5, 1, 3, 5, 5, 4, 3, 1, 4, 2, 2, 2, 3, 1, 5, 4, 1, 1, 5, 4], "5272": [3, 4, 5, 1, 3, 4, 4, 5, 2, 2, 3, 1, 2, 1, 1, 2, 4, 3, 4, 4, 5, 1, 5, 3, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 3, 4, 1, 3, 3, 5, 2, 3, 4, 2, 4, 3, 4, 4, 4, 5, 2, 1, 4, 2, 3, 3, 4, 4, 1, 3, 2, 2, 4, 3, 4, 4, 4, 2, 5, 4, 2, 2, 1, 2, 3, 1, 3, 4, 3, 1, 2, 4, 1, 1, 4, 1, 1, 2], "1697": [5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 4, 4, 2, 5, 4, 3, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 5, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 4, 2, 4, 4, 3, 5, 2, 4, 4, 5, 5, 5, 2, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 3], "4436": [3, 5, 4, 3, 5, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 2, 4, 4, 3, 3, 4, 2, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 3, 4, 4, 3, 2, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 3, 2, 4, 3, 5, 2, 4, 3, 5, 4, 4, 3, 4, 3, 2, 3, 4, 2, 4, 4, 5, 4, 4, 1, 4, 4, 5, 5, 3, 3, 2, 4, 1], "1785": [5, 5, 2, 2, 5, 4, 5, 5, 4, 2, 5, 2, 3, 2, 2, 5], "161": [4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 2, 4, 5, 4, 5, 4, 5, 5, 5, 2, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 3, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5], "2327": [5, 2, 4, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 1, 2, 3, 3, 3, 2], "4018": [3, 3, 5, 4, 5, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 4, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 1, 3, 3, 3, 4, 3, 3, 4, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 4, 1, 2, 1, 3, 4, 4, 4, 4, 5, 3, 3, 2, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 5, 3, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 1, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3], "4302": [3, 3, 4, 4, 4, 5, 3, 5, 3, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 3, 3, 3, 4, 2, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 2, 4, 3, 2, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 5, 4, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 4, 3, 3, 5, 5, 2, 5, 4, 2, 5, 5, 4, 5, 3, 4, 4, 4, 4, 1, 3, 4, 3, 4, 3, 3, 5, 5, 3, 3, 3, 4, 5, 5, 4, 5, 4, 3, 4, 3, 3, 5, 2, 4, 5], "2688": [4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 2, 5, 2, 2, 3, 2, 5, 2, 5, 3, 3, 5, 2, 1, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 1, 3, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 1, 3, 4, 3, 4, 4, 5, 3, 4, 5, 4, 1, 3, 1, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 4, 3, 2, 4, 3, 3, 5, 5, 4, 5, 3, 4, 4, 4, 2, 5, 2, 2], "4175": [3, 2, 5, 4, 3, 4, 4, 5, 3, 1, 4, 5, 3, 5, 5, 2, 5, 4, 5, 4, 4, 5, 3, 2, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 2, 5, 5, 1, 1, 1, 3, 5, 4, 3, 2, 1, 1, 5, 4, 3, 4, 4, 4, 4, 5, 2, 3, 3, 5, 5, 5, 3, 4, 5, 5, 2], "4177": [5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4], "2697": [5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 5], "2989": [4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 2, 4, 1, 1, 1, 1, 2, 3, 5, 5, 5, 4, 4, 4, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 2, 3, 4, 5, 3, 1, 2, 1, 1, 2, 3, 3, 4, 4, 5, 3, 1, 3, 5, 1, 3, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 3, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4], "856": [3, 2, 4, 5, 4, 3, 5, 2, 4, 4, 5, 2, 3, 3, 3, 4, 2, 2, 2, 4, 3, 4, 4, 3], "5452": [5, 5, 1, 3, 3, 5, 5, 2, 5, 1, 3, 3, 5, 5, 5, 3, 1, 3, 4, 3, 3, 3, 5, 5, 3, 2, 5, 4, 5, 1, 4, 3, 2, 4, 3, 4, 4, 2, 1, 4, 3, 2, 4, 4, 1, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 4, 4, 4, 4, 2, 3, 5, 5, 4, 4, 5, 2, 3, 3, 3, 4, 2, 3, 1, 3, 2, 4, 3, 2, 4, 4, 1, 2, 2, 4, 2, 3, 1, 3, 2, 3, 4, 2, 1, 4, 4, 4, 5, 3, 1, 2, 2, 2, 4, 4, 5, 2, 4, 5, 5, 2, 1, 4, 5, 3, 5, 3, 5, 4, 2, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 2, 5, 4, 3, 5, 4, 3, 5, 3, 4, 4, 2, 5, 3, 2, 1, 2, 3, 4, 2, 3, 3, 4, 5, 4, 1, 2, 5, 4, 2, 2, 5, 4, 1, 3, 2, 3, 3, 5, 4, 3, 3, 1, 2, 3, 1, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 2, 3, 5, 3, 3, 5, 5, 2, 5, 2, 2, 5, 5, 3, 3, 2, 4, 5, 4, 3, 3, 5, 1, 5, 1, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 3, 4, 3], "3166": [3, 5, 5, 3, 3, 3, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 2], "5309": [5, 3, 5, 5, 3, 4, 4, 4, 3, 5], "5634": [4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 3, 3, 4, 1, 4, 4, 5, 4, 4, 2, 5, 3, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 1, 4, 4, 4, 1, 4, 3, 5, 4, 4, 5, 1, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 1, 2, 5, 4, 5, 3, 4, 3, 3, 5, 2, 5, 1, 4, 2, 3, 4, 4, 4, 5, 1, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 1, 4, 4, 5, 3, 5, 3, 2, 5, 2, 5, 1, 4, 2, 5, 5, 5, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 1, 4, 1, 1, 5, 4, 5, 4, 3, 4, 5, 4, 2, 5, 4, 4, 5, 2, 2, 1, 4, 1, 3, 4, 4, 4, 3, 4, 4, 5, 3, 1, 3, 3, 2, 5, 1, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 2, 5, 4, 4, 5, 4, 3, 4, 4, 3, 2, 1, 1, 4, 4, 5, 5, 4, 4, 2, 3, 5, 5, 1, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5], "4190": [1, 1, 4, 2, 4, 5, 4, 4, 3, 3, 4, 4, 2, 1, 4, 5, 5, 3, 2, 5, 4, 3, 4, 5, 4, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 1, 4, 2, 1, 5, 3, 1, 4, 4, 3, 4, 4, 2, 2, 3, 2, 1, 1, 1, 1, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 1, 2, 5, 2, 5, 4, 3, 3, 3, 2, 4, 1, 3, 4, 3, 3], "415": [3, 3, 3, 4, 4, 5, 3, 4, 4, 1, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 2, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 1, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5], "1202": [3, 3, 4, 2, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 1, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 2, 3, 3, 5, 3, 5, 4, 1, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 3, 3, 5, 4, 4, 4, 1, 5, 4, 2, 3, 4, 4, 5, 4, 3, 1, 1, 4, 4, 4, 4, 3, 4, 5, 1, 5, 3, 4, 4, 5, 4, 3, 5, 2, 4, 2, 4, 3, 5, 2, 5, 2, 3, 4, 3, 4, 1, 4, 4, 3, 1, 3, 3, 4, 4, 1, 4, 3, 4, 4, 5, 5, 5, 4, 1, 3, 3, 2, 3, 4, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 4, 1, 5, 3, 3, 4, 2, 2, 5, 1, 3, 5, 4, 3, 4, 3, 5, 2, 5, 5, 3, 2, 4, 4, 4, 2, 2, 5, 5, 4, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 3, 3, 5, 4, 2, 3, 1, 3, 5, 5, 2, 5, 4, 5, 5, 5, 5, 3, 3, 4, 2, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 5, 4, 2, 4, 4, 5, 2, 3, 3, 4, 3, 4, 3, 4, 4, 1, 3, 3, 1, 4, 5, 1, 2, 4, 3, 4, 4, 5, 3, 1, 5, 4, 4, 5, 3, 1, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 2, 1, 5, 4, 4, 4, 3, 2, 5, 4, 3, 3, 4, 3, 2, 4, 4, 4, 5, 4, 5, 1, 2, 4, 4, 5, 4, 3, 4, 4, 4, 3, 2, 2, 4, 3, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 2, 3, 4, 4, 4, 3, 3, 2, 5, 1, 2, 4, 1, 3, 4, 2, 5, 4, 4, 2, 4, 2, 4, 4, 1, 5, 4, 3, 3, 2, 5, 2, 3, 5, 3, 3, 4, 5, 2, 4, 4, 2, 5, 2, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 1, 4, 3, 4, 4, 2, 3, 4, 3, 2, 5, 2, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 1, 5], "4607": [3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 3, 2, 5, 3, 3, 2, 5, 5, 4, 5, 2, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 5, 2, 4, 3, 3, 4, 4, 4, 5, 5, 3, 4, 4, 3, 2, 4, 3, 5, 2, 5, 4, 5, 2, 5, 2, 5, 5, 3, 3, 4, 4, 5, 4, 4, 5, 5, 2, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 2, 3, 5, 4, 5, 4, 2, 2, 4, 4, 5, 5, 5, 4, 4, 2, 4, 3, 3, 3, 4, 4, 4, 2, 3, 4, 5, 3, 2, 3, 2, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 4, 2, 4, 3, 4, 3, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 3, 5, 3, 5, 5, 2, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 2, 4, 5, 4, 5, 3, 5, 3, 4, 4, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 2, 4, 4, 3, 4, 5, 5, 5, 3, 3, 4, 2, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 3, 4, 4, 2, 4, 3, 3, 3, 2, 5, 5, 5, 5, 4, 3, 4, 4, 1, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 2, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 1, 3, 4, 4, 3, 4, 4, 4, 4, 5, 2, 5, 4, 3, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 2, 3, 4, 5, 4, 5, 5, 4, 3, 4, 1, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 3], "188": [4, 5, 4, 2, 3, 3, 5, 1, 4, 3, 4, 2, 2, 5, 2, 3, 4, 2, 5, 5, 4, 4, 5, 3, 3, 5, 4, 3, 4, 2, 3, 1], "510": [4, 4, 5, 5, 5, 4, 2, 4, 3, 5, 5, 3, 3, 4, 4, 5, 5, 1, 2, 3, 4, 3, 2, 3, 5, 2, 4, 3, 5, 4, 4, 5, 4, 5, 3, 2, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 3, 5, 5, 3, 2, 4, 5, 4, 3, 5, 1, 2, 2, 3, 3, 4, 5, 5, 5, 2, 4, 4, 5, 5, 5, 4, 4, 3, 2, 4, 3], "3960": [5, 2, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 1, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4], "1129": [5, 3, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 4, 4, 3, 5, 4, 4, 4, 3, 5], "2829": [5, 2, 4, 4, 5, 4, 4, 5, 2, 2, 3, 2, 3, 5, 1, 2, 2, 2, 4, 1, 3, 2, 2, 1, 4, 2, 3, 5, 4, 4, 1, 3, 3, 3, 3, 4], "4569": [4, 5, 5, 3, 4, 5, 2, 4, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 1, 4, 5, 3, 4, 4, 3, 4, 5, 3, 2, 4], "2764": [5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 2, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 3, 5, 4, 3, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 3, 5, 4, 5, 5, 4, 2, 3, 5, 5, 4, 4, 4, 5, 2, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 2, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 2, 4, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 2, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 2, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 3, 3, 5, 1, 5, 3, 4, 5], "581": [3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 2, 4, 5, 3, 4, 4, 1, 3, 4], "3780": [4, 5, 2, 5, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 3, 2, 4, 5, 5, 5, 4, 5, 4, 3, 4, 3, 2, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 4, 4, 3, 3, 5, 4, 5, 4, 5, 5, 5, 3, 5, 3, 4, 5, 5, 3, 3, 3, 2, 3, 5, 3, 3, 3, 4, 5, 4, 5, 4, 5, 5, 5, 2, 5, 3, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 3, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 2, 4, 4, 5, 4, 4, 5, 5, 1, 5, 4, 5, 5, 3, 4, 3, 3, 1, 3, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 2, 5, 5, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 5, 3, 3, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 2, 5, 5, 3, 5, 2, 3, 3, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 5], "5569": [2, 2, 4, 4, 5, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 3, 4, 2, 5, 4, 4, 4, 4, 5, 3, 3, 1, 4, 4, 5, 5, 2, 2, 2, 4, 2, 4, 3, 4, 5, 4, 4, 2, 3, 4, 3, 1, 3, 4, 5, 3, 3, 5, 4, 4, 3, 2, 3, 4, 3, 4, 2, 4, 4, 1, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 4, 5, 3, 2, 3, 5, 3, 1, 5, 2, 3, 4, 4, 3, 2, 4, 3, 5, 5, 3, 4, 2, 3, 3, 4, 5, 3, 4, 2, 3, 4, 3, 4, 4, 3, 5, 2, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 2, 4, 1, 5, 4, 4, 4, 5, 2, 1, 4, 5, 4, 4, 2, 5, 3, 1, 4, 3, 2, 2, 2, 3, 3, 3, 2, 4, 4, 2, 4, 3, 4, 4, 3, 3, 5, 3, 1, 5, 4, 3, 4, 5, 4, 1, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 3, 5, 5, 3, 5, 2, 2, 5], "3483": [4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 3, 4, 3, 5, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 3, 5, 2, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 4, 3, 2, 3, 3, 5, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 3, 5, 3, 4, 3, 4, 4, 2, 4, 4, 3, 3, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 3, 3, 5, 1, 4, 4, 3, 4, 4, 5, 2, 4, 4, 2, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 2, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 2, 5, 4, 4, 3, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 3, 4, 3, 5, 3, 3, 5, 5, 3, 4, 4, 4, 5, 2, 4, 5, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 2, 3, 3, 5, 3, 5, 5, 5, 2, 3, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 5, 4, 2, 5, 4, 4, 3, 5, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 4], "5118": [3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 3, 4, 1, 4, 3, 2, 2, 3, 4, 2, 3, 4, 4, 4, 4, 4, 1, 2, 4, 3, 1, 3, 3, 1, 3, 3, 3, 4, 2, 5, 5, 3, 5, 4, 3, 3, 4, 5, 3, 5, 4, 2, 4, 2, 3, 1, 1, 4, 2, 4, 2, 2, 5, 5, 4, 2, 4, 5, 3, 5, 2, 2, 2, 4, 3, 3, 2], "2102": [2, 2, 1, 2, 5, 1, 2, 1, 3, 2, 2, 4, 5, 3, 5, 3, 5, 3, 5, 3, 1, 4, 5, 2, 3, 3, 5, 3, 3, 1, 1, 3, 3, 4, 3, 4, 1, 3, 1, 3, 2, 3, 2, 5, 4, 2, 2, 4, 1, 3, 3, 2, 2, 3, 3, 1, 3, 3, 1, 5, 5, 1, 4, 3, 1, 1, 3, 1, 5, 4, 1, 2, 2, 2, 3, 3, 2, 5, 4, 3, 1, 4, 1, 1, 1, 1, 2, 3, 3, 4, 2, 1, 1, 3, 2, 3, 1, 1, 3, 1, 3, 1, 4, 1, 2, 2, 2, 4, 2, 3, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 2, 1, 2, 2, 1, 1, 3, 1, 4, 3, 1, 4, 2, 3, 3, 4, 2, 1, 1, 2, 4, 2, 1, 3, 4, 1, 1, 1, 1, 1, 3, 2, 3, 2, 4, 1, 3, 2, 1, 2, 5, 1, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 5, 5, 1, 2, 3, 2, 1, 2, 1, 3, 1, 2, 4, 3, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 4, 3, 3, 3, 2, 4, 3, 5, 4, 3, 5, 2, 2, 1, 3, 2, 4, 4, 4, 3, 4, 1, 1, 3, 1, 1, 2, 2, 4, 2, 1, 3, 2, 4, 2, 1, 3, 5, 1, 5, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 1, 2, 1, 2, 1, 4, 2, 3, 3, 2, 1, 4, 3, 1, 1, 3, 3, 5, 3, 4, 1, 3, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 2, 3, 4, 4, 2, 1, 1, 3, 2, 4, 4, 5, 2, 5, 3, 1, 1, 1, 3, 4, 1, 1, 2, 3, 1, 4, 2, 2, 3, 3, 2, 1, 1, 2, 4, 2, 3, 3, 2, 5, 3, 1, 2, 4, 3, 2, 2, 4, 3, 1, 2, 2, 3, 4, 3, 5, 5, 1, 4, 1, 4, 3, 2, 4, 2, 2, 2, 4, 2, 3, 3, 4, 2, 3, 1, 3, 3, 1, 1, 1, 4, 3, 3, 4, 4, 4, 2, 4, 2, 2, 1, 4, 1, 3, 2, 2, 2, 5, 5, 1, 1, 3, 1, 2, 3, 3, 1, 3, 1, 5, 4, 2, 3, 4, 1, 1, 2, 4, 3, 3, 5, 5, 2, 5, 2, 1, 3, 4, 1, 1, 1, 1, 2, 1, 5, 4, 4, 3, 2, 1, 4, 4, 4, 4, 4, 1, 4, 4, 3, 5, 3, 4, 5, 3, 3, 5], "933": [1, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 2, 3, 3, 4, 1, 4, 1, 5, 5, 3, 4, 3, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 3, 3, 3, 5, 5, 5, 5, 3], "3101": [4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 2, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 4, 5, 3, 5, 5, 3, 4], "5465": [3, 4, 3, 2, 3, 2, 5, 5, 1], "713": [3, 5, 3, 3, 3, 3, 4, 1, 4, 5, 2, 4, 3, 4, 4, 4, 2, 5, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 2, 5, 5, 3, 4, 3, 4, 4, 5, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 3, 5, 5, 2, 4, 2, 3, 3, 4, 4, 4, 3, 1, 4, 5, 3, 4, 5, 2, 4, 3, 3, 3, 2, 5, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 5, 3, 5, 4, 3, 4, 1, 4, 3, 1, 3, 1, 3, 5, 5, 3, 5, 3, 2, 2, 2, 4, 4, 3, 4, 3, 5, 4, 3, 2, 3, 4, 4, 2, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 1, 2, 4, 5, 4, 4, 4, 1, 4, 4, 3, 4, 5, 4, 2, 3, 5, 2, 5, 3, 5, 4, 4, 5, 3, 3, 2, 4, 4, 3, 1, 2, 4, 4, 2, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 1, 4, 3, 2, 4, 3, 3, 3, 2, 5, 2, 3, 4, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3], "2967": [2, 5, 3, 2, 3, 5, 2, 5, 2, 4, 3, 4, 5, 4, 3, 4, 4, 5, 3, 5, 5, 5, 2, 4, 3, 4, 5, 3, 2, 3, 5, 3, 3, 4, 4, 2, 4, 4, 4, 4, 3, 2, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 2, 3, 5, 3, 3, 4, 3, 4, 3, 4, 4, 1, 3, 4, 4, 4, 3, 3, 2, 4, 2, 3, 5, 5, 4, 4, 3, 4, 3, 4, 3, 4, 2, 2, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 4, 3, 5, 2, 4, 5, 5, 3, 5, 4, 2, 5, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 2, 5, 3, 5, 2, 3, 4, 4, 4, 1, 3, 4, 5, 4, 4, 1, 4, 2, 2, 2, 3, 5, 3, 4, 4, 5, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 2, 1, 2, 5, 3, 5, 3, 5, 2, 2, 4, 2, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 1, 4, 5, 3, 5, 3, 1, 2, 2, 3, 5, 5, 5, 5, 3, 3, 2, 5, 3, 3, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 2, 4, 5, 3, 3, 5, 4, 2, 2, 3, 4, 3, 4, 3, 4, 2, 5, 4, 2, 4, 3, 5, 4, 4, 4, 3, 5, 5, 3, 3, 5, 3, 4, 4, 5, 3, 2, 4, 3, 3, 4, 4, 3, 5, 4, 3, 4, 5, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 5, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 3, 5, 2, 3, 5, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 5, 3, 3, 3, 3, 3, 1, 1, 3, 5, 2, 4, 4, 3, 4, 2, 4, 4, 5, 3, 2, 4, 4, 5, 3, 5, 3, 4, 3, 5, 2, 2, 4, 5, 4, 4, 2, 2, 4, 3, 4, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 5, 3, 4, 5, 3, 5, 3, 5, 4, 2, 3, 4, 4, 3, 3, 2, 3, 4, 5, 3, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 1, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 3, 5, 2, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 2, 2, 3, 2, 4, 4, 5, 3, 5, 2, 5], "2628": [1, 2, 1, 1, 3, 5, 4, 4, 5, 2, 5, 5, 4, 2, 2, 2, 4, 3, 2, 3, 5, 3, 4, 3, 2, 3, 3, 1, 1, 2, 5, 2, 1, 2, 3, 4, 5, 4, 4, 4, 3, 2, 2, 3, 2, 1, 4, 3, 4, 4, 5, 5, 4, 3, 5, 1, 3, 3, 2, 5, 2, 4, 3, 5, 3, 5, 3, 3, 1, 4, 4, 1, 5, 2, 2, 3, 4, 5, 2, 5, 4, 4, 2, 1, 4, 1, 3, 3, 4, 2, 4, 1, 5, 5, 5, 3, 4, 5, 4, 1, 1, 4, 5, 2, 4, 5, 5, 5, 4, 5, 5, 5, 1, 5, 5, 5, 2, 3, 4, 5, 4, 1, 5, 4, 5, 4, 3, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 1, 5, 5, 3, 5, 5, 5, 3, 2, 4, 1, 2, 4, 5, 5, 2, 3, 5, 2, 4, 5, 3, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 1, 5, 5, 1, 4, 5, 1, 4], "1820": [4, 4, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 3, 3, 5, 4, 2, 5, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 5, 5, 4, 3, 4, 2, 3, 4, 5, 5, 4, 5, 4, 4, 5, 3, 3, 3, 5, 3, 2, 4, 1, 4, 1, 4, 3, 5, 3, 1, 1, 4, 3, 5, 3, 4, 5, 4, 5, 1, 4, 4, 4, 1, 5, 1, 4, 3, 3, 5, 5, 4, 5, 3, 4, 2, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 2, 4, 4, 4, 4, 4, 1, 2, 5, 4, 3, 2, 3, 5, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 4, 3, 5, 2, 5, 4, 4, 5, 4, 2, 5, 4, 2, 4, 4, 4, 3, 3, 2, 4, 2, 4, 4, 5, 4, 3, 2, 3, 2, 2, 2, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 1, 3, 2, 4, 3, 1, 2, 5, 3, 4, 4, 1, 3, 3, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 2, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 5, 5, 2, 5, 1, 4, 5, 5, 4, 4, 4, 2, 5, 4, 5, 2, 5, 5, 5, 4, 4, 3, 5, 5, 3, 4, 5, 4, 3, 3, 5, 3, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3], "5028": [3, 4, 3, 2, 3, 4, 3, 5, 5, 5, 5, 2, 5, 5, 4, 3, 3, 3, 5], "3019": [4, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 5, 4, 5, 2, 5, 3, 4, 5, 5, 3, 5, 5, 4], "3106": [5, 4, 5, 5, 5, 1, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 1, 3, 3, 1, 1, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5], "4672": [5, 5, 2, 4, 4, 4, 4, 5, 3, 3, 2, 4, 3, 3], "3971": [3, 4, 1, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 2, 4, 2, 2, 2, 4, 4, 4, 4, 2, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 5, 4, 3, 3, 1, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 3, 4, 3, 3, 4, 3, 1, 4, 1, 2, 4, 3, 4, 3, 2, 4, 4, 4, 3, 4, 1, 3, 2, 4, 4, 4, 5, 4, 4, 1, 3, 4, 4, 3, 3, 2, 4, 2, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 2, 5, 3, 4, 4, 1, 4, 3, 5, 2, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 2, 3, 2, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 2, 5, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 1, 4, 2, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 4, 4, 1, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3], "2": [5, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 3, 2, 4, 3, 4, 2, 2, 3, 4, 3, 5, 3, 4, 2, 4, 5, 4, 5, 4, 4, 2, 3, 5, 4, 5, 4, 3, 3, 3, 5, 4, 5, 5, 3, 3, 4, 3, 3, 2, 5, 4, 5, 3, 5, 5, 3, 4, 5, 5, 3, 4, 4, 5, 2, 3, 3, 4, 3, 3, 5, 4, 3, 5, 5, 4, 1, 3, 2, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 4, 5, 4, 2, 3, 3, 5, 2, 5, 5], "1138": [5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 1, 2, 3, 5, 3, 4, 5, 3, 4, 5, 2, 5, 1, 4, 3, 5, 2, 4, 4, 4, 1, 4, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 4, 5], "1297": [4, 4, 4, 3, 2, 4, 5, 5, 4, 3, 2, 4, 4, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 2, 4, 5, 5, 1, 4, 4, 5, 2, 1, 4, 4, 3, 3, 4, 3, 3, 1, 3, 3, 1, 5, 4, 4, 5, 2, 3, 5, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 4, 2, 4, 5, 4, 4, 2, 2, 3, 3, 4, 2, 1, 2, 2, 4, 3, 2, 1, 1, 4, 4, 3, 2, 5, 3, 4, 5, 4, 3, 5, 5, 3, 2, 1, 1, 1, 5, 3, 3, 3, 3, 3, 2, 3, 4, 3, 5, 2, 1, 5, 3, 2, 2, 3, 5, 3, 3, 3, 1, 2, 2, 5, 4, 3, 2, 5, 4, 3, 4, 1, 4, 2, 3, 3, 2, 3, 4, 3, 5, 3, 5, 2, 4, 4, 4, 4, 2, 3, 2, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 5, 3, 5, 2, 5, 5, 1, 5, 3, 2, 2, 4, 3, 4, 5, 2, 1, 4, 2, 3, 3, 3, 3, 3, 1, 3, 3, 3, 5, 4, 3, 4, 3, 4, 1, 5, 4, 3, 3, 1, 5, 4, 3, 2, 4, 4, 4, 5, 3, 3, 4, 4, 4, 1, 4, 3, 3, 2, 2, 4, 4, 2, 2, 3, 4, 4, 2, 4, 3, 3, 3, 5, 4, 5, 5, 2, 4, 3, 1, 2, 2, 2, 3, 5, 4, 2, 1, 4, 1, 3, 3, 4, 4, 2, 4, 5, 4, 2, 4, 5, 2, 3, 5, 4, 5, 3, 4, 4, 5, 3, 1, 4, 4, 2, 1, 4, 1, 4, 3, 4, 2, 4, 1, 4, 4, 5, 4, 2, 4, 3, 3, 3, 5, 5, 4, 2, 2, 4, 4, 5, 3, 3, 3, 5, 4, 5, 3, 4, 3, 4, 3, 2, 5, 3, 4, 2, 2, 4, 5, 2, 3, 3, 3, 4, 2, 1, 3, 1, 3, 4, 1, 5, 1, 4, 4, 2, 3, 5, 5, 3, 4, 3, 5, 4, 3, 2, 4, 4, 5, 2, 4, 5, 4, 5, 5, 3, 4, 2, 4, 2, 4, 3, 2, 5, 5, 4, 4, 4, 5, 5, 2, 4, 5, 2, 4, 1, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 3], "5762": [5, 4, 4, 5, 4, 5, 1, 5, 1, 4, 4, 5, 3, 5, 3, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 5, 3, 2, 3, 4, 4, 3, 5, 3, 5, 1, 3, 5, 3, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 2, 4, 5, 3, 3, 4, 5, 5, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 4, 2, 5, 4, 4, 5, 3, 3, 3, 5, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 3, 3, 2, 5, 5, 5, 5, 4, 5, 2, 5, 3, 5, 5, 3, 5, 5, 3, 5, 1, 3, 5, 5, 4, 4, 4, 2, 1, 3, 5, 5, 5, 4, 2, 5, 3, 5, 3, 5, 5, 2, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 1, 4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 4, 3, 4, 3, 3, 1, 1, 3, 5, 4, 5, 1, 2, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 1, 5, 4, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 5, 3, 4, 5, 2, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 4, 5, 3, 3, 3, 4, 5, 4, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 2, 5], "4192": [2, 2, 3, 3, 4, 3, 2, 3, 4, 2, 4, 3, 2, 3], "5602": [4, 5, 3, 2, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 5, 1, 4, 5], "3916": [4, 5, 4, 5, 4, 3, 3, 3, 5, 4, 3, 2, 3, 5, 5, 5, 4, 5, 3, 5, 1, 5, 5, 3, 4, 2, 4, 5, 5, 5, 5, 5, 1, 5, 3, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 2, 4, 4, 3, 3, 4, 4, 1, 3, 4, 4, 3, 3, 2, 5, 5, 5, 3, 5, 3, 4, 4, 1, 3, 4, 5, 5, 4, 5, 5, 5, 5, 2, 3, 5, 5, 2, 4, 4, 2, 3, 4, 4, 4, 4, 4, 5, 1, 4, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 2, 3, 4, 5, 3, 5, 4, 3, 1, 5, 2, 5, 5, 4, 5, 4, 4, 5, 4, 4, 1, 5, 3, 2, 4, 5, 1, 5, 4, 4, 3, 2, 3, 5, 5, 5, 3, 4, 5, 2, 5, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 1, 5, 3, 4, 1, 5, 4, 3, 4, 4, 1, 3, 3, 4, 5, 5, 2, 4, 3, 4, 1, 4, 3, 3, 3, 5, 3, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 2, 5, 4, 4, 3, 3, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 3, 4, 5, 2, 4, 2, 5, 3, 3, 2, 3, 5, 5, 5, 4, 4, 5, 3, 1, 5, 4, 5, 4, 5, 4, 1, 4, 4, 5, 2, 5, 5, 2, 5, 5, 4, 4, 5, 4, 4, 3, 5, 2, 2, 3, 4, 4, 3, 3, 3, 4, 3, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 5, 5, 1, 5, 2, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 2, 5, 3, 5, 4, 4, 5, 5, 4, 1, 4, 4, 3, 4, 2, 4, 5, 5, 4, 2, 5, 4, 5, 5, 4, 3, 5, 3, 2, 3, 4, 5, 5, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 1, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 4, 4, 5, 5, 5, 4, 5], "1899": [4, 4, 4, 3, 2, 5, 5, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 2, 4, 3, 5, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 3, 2, 4, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, 5, 1, 4, 3, 5, 4, 5, 4, 3, 3, 2, 5, 2, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 1, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 2, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 5, 5, 3, 3, 3, 4, 5, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 4, 4, 3, 2, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 3, 2, 4, 4, 4, 3, 3, 4, 5, 2, 2, 3, 3, 4, 4, 3, 5, 5, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 4, 3, 3, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 2, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 1, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 4], "1135": [3, 5, 5, 5, 4, 5, 2, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 2, 4, 3, 1, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 3, 4, 5, 2, 3, 3, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 3, 4, 2, 2, 5, 3, 4, 5, 4, 2, 3, 3, 3, 4, 2, 4, 2, 4, 5, 5, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 5, 5, 4, 5, 4, 3, 3, 5, 5, 5, 5, 1, 5, 5, 1, 3, 2, 3, 1, 4, 5, 5, 5, 3, 3], "940": [3, 4, 3, 3, 3, 1, 4, 5, 4, 1, 4, 5, 3, 2, 1, 4, 1, 2, 5, 5, 2, 1, 3, 2, 4, 1, 1, 3, 3, 4, 2, 4, 4, 5, 1, 5, 2, 5, 1, 3, 4, 2, 2, 5, 3, 5, 5, 3, 5, 4], "1438": [4, 5, 3, 5, 2, 1, 3, 3, 3, 5], "5499": [5, 5, 3, 5, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3], "3704": [5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 5, 4, 2, 3, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2], "394": [5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 2, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4], "1668": [5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 2, 4, 4, 3, 5, 4, 5, 4, 2, 4, 4, 4, 2, 5, 4, 3], "6032": [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 4, 5, 5, 3, 4, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 1, 1, 3, 2, 3, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 2, 4, 2, 2, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 2, 4, 4, 5, 4, 4, 2], "4773": [3, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 3, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4], "157": [3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 3, 4, 3, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 5, 4, 2, 2, 5, 3, 4, 4, 4, 5, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 5, 3, 5, 3, 4, 4, 5, 4, 2, 5, 3, 3, 3, 4, 3, 4, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 5, 3, 3, 3, 4, 3, 4, 5, 3, 5, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 2, 5, 5, 4, 4, 3, 3, 3, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 2, 2, 4, 3, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 3, 3, 4, 5, 4, 3, 4, 5, 5, 3, 3, 5, 5, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 5, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4], "1548": [4, 5, 1, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4], "5268": [4, 4, 5, 4, 5, 3, 5, 1, 2, 5, 2, 3, 1, 3, 3, 3, 5, 5, 3, 2, 4, 2, 3, 1, 4, 2, 4, 5, 3, 1, 1, 3, 4, 4, 2, 5, 3, 2, 5, 1, 1, 2, 5, 1, 4, 1, 3, 2, 2, 4, 5, 2, 2, 2, 2, 2, 2, 3, 2, 1, 5, 1, 3, 5, 4, 3, 2, 2, 5, 3, 1, 3, 4, 5, 2, 4, 4, 3, 4, 2, 1, 5, 3, 3, 3, 5, 5, 3, 4, 1, 5, 1, 4, 5, 4, 1, 3, 4, 5, 2, 4, 5, 5, 2, 5, 5, 4, 3, 2, 4, 1, 4, 3, 2, 3, 2, 4, 4, 5, 3, 4, 3, 3, 1, 2, 1, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 1, 5, 3, 3, 2, 2, 5, 4, 1, 3, 4, 2, 4, 4, 3, 5, 3, 5, 4, 2, 5, 4, 5, 4, 3, 4, 5, 4, 5, 3, 5, 5, 4, 5, 2, 4, 2, 3, 3, 3, 3, 5, 2, 5, 2, 1, 3, 3, 1, 3, 2, 5, 4, 5, 1, 5, 5, 5, 2, 3, 4, 4, 3, 5, 5, 4, 4, 3, 4, 5, 3, 3, 2, 3, 5, 5, 5, 5, 4, 3, 1, 5, 4, 5, 5, 5, 3, 5, 2, 5, 3, 5, 4, 4, 5, 2, 5, 2, 4, 3, 1, 4, 4, 2, 2, 3, 1, 4, 1, 1, 5, 5, 5, 1, 3, 2, 2, 4, 4, 1, 3, 1, 5, 3, 3, 1, 5, 2, 2, 4, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 3, 4, 3, 5, 5, 4, 2, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3, 4, 5, 5, 1, 5, 1, 3, 3, 2, 4, 1, 2, 4, 2, 3, 2, 2, 2, 2, 5, 3, 5, 3, 5, 4, 3, 4, 4, 3, 5, 4, 2, 3, 4, 5, 3, 3, 3, 5, 5, 2, 1, 3, 5, 4, 1, 3, 4, 1, 1, 1, 2, 4, 1, 1, 5, 1, 5, 1, 2, 1, 2, 2, 5, 3, 5, 1, 2, 2, 3, 1, 5, 2, 1, 5, 5, 4, 3, 3, 5, 5, 2, 2, 3, 4, 5, 5, 4, 3, 4, 5, 3, 2, 3, 3, 1, 4, 5, 3, 4, 1, 2, 4, 1, 4], "5975": [5, 3, 5, 2, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 3, 2, 5, 5, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 5, 3, 4, 5], "4361": [2, 4, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 3, 5, 5, 5, 5, 3, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 3, 5, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 2, 4, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 5, 4, 4], "4321": [5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 2, 5, 4, 5, 5, 5, 3, 3, 5], "86": [5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 5], "5304": [4, 3, 4, 4, 3, 1, 4, 3, 4], "797": [5, 3, 4, 2, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 3, 5, 3, 3, 3, 4, 5, 4, 5, 4, 5, 3, 5, 3, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 4, 5, 2, 4, 4, 2, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 2, 5, 4], "1710": [5, 5, 2, 4, 5, 4, 4, 1, 3, 4, 5, 5, 3, 4, 4, 4, 3, 5, 3, 3, 3, 2, 4, 4, 1, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 3, 1, 5, 3, 5, 1, 5, 5], "3823": [4, 3, 2, 2, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 5, 3, 3, 3, 4, 3, 5, 4, 1, 5, 4, 4, 3, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 5, 3, 5, 4, 5, 4, 2, 5, 2, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 4, 5, 3, 3, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 3, 3, 5, 3, 4, 5, 5, 4, 2, 2, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 4, 3, 5, 4, 4, 5, 3, 5, 3, 4, 5, 4, 3, 4, 4, 5, 3, 5, 3, 5, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 2, 5, 3, 5, 3, 5, 4, 2, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 4, 3, 5, 4, 5, 4, 3, 5, 5, 4, 3, 5, 4, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4], "4487": [3, 4, 4, 2, 1, 3, 4, 4, 4, 3, 5, 5, 3, 3, 1, 2, 4, 5, 3, 3, 4, 4, 3, 4, 4, 4, 1, 3, 1, 4, 5, 5, 5, 1, 2, 5, 3], "1703": [5, 3, 3, 5, 4, 2, 5, 5, 4, 5, 4, 5, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3], "795": [5, 4, 3, 4, 1, 4, 2, 4, 4, 2, 4, 4, 5, 4, 1, 2, 4, 3, 4, 2, 2, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 5, 3, 2, 2, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 2, 3, 5, 2, 4, 3, 3, 3, 5, 4, 2, 4, 2, 4, 3, 2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 2, 3, 2, 3, 3, 5, 4, 5, 4, 4, 4], "3484": [1, 2, 3, 1, 4, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 3, 3, 2, 1, 3, 4, 3, 2, 4, 3, 1, 1, 3, 2, 4, 2, 4, 5, 2, 2, 1, 5, 5, 2, 4, 2, 2, 3, 5, 3, 4, 3, 4, 4, 4, 4, 5, 1, 3, 4, 3, 3, 3, 5, 4, 2, 2, 4, 3, 1, 4, 4, 3, 1, 1, 3, 4, 5, 1, 4, 4, 2, 3, 2, 3, 3, 1, 4, 4, 2, 1, 1, 3, 3, 4, 2, 1, 3, 5, 4, 4, 4, 2, 3, 4, 3, 3, 3, 4, 2, 4, 4, 1, 4, 4, 2, 2, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 1, 3, 3, 2, 3, 4, 4, 2, 4, 3, 1], "1068": [4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 2, 4, 5, 3, 2, 4, 3, 3, 4, 3, 5, 3, 5, 5, 5, 3, 5, 5, 4, 3, 3, 5, 3, 5, 5, 3, 5, 5, 3, 1, 3, 3, 3, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 3, 5, 5, 3, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 1, 3, 5, 4, 4, 3, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 4, 3, 2, 5, 3, 5, 3, 5, 5, 5, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 3, 3, 2, 5, 3, 4, 3, 5, 3, 5, 2, 3, 5, 5, 2, 4, 4, 3, 3, 3, 3, 3, 5, 3, 4, 3, 4, 5, 4, 3, 5, 3, 5, 3, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 5, 5, 3, 5, 4, 3, 3, 4, 2, 4, 3, 5, 4, 3, 4, 3, 5, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 2, 4, 5, 2, 3, 2, 3, 5, 4, 2, 3, 3, 4, 4, 3, 3, 5, 3, 3, 4, 3, 5, 5, 5, 3, 3, 5, 5, 4, 3, 5, 4, 4, 4, 1, 4, 3, 4, 2, 5, 4, 4, 5, 3, 4, 3, 5, 5, 4, 3, 5, 3, 4, 4, 3, 4, 4, 3, 3, 3, 5, 3, 3, 3, 5, 4, 5, 4, 3, 1, 3, 3, 2, 5, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 3, 5, 3, 5, 3, 3, 4, 5, 4, 4, 5, 5, 3, 5, 4, 5, 3, 2, 3, 4, 3, 5, 5, 3, 4, 4, 5, 3, 5, 3, 4, 3, 4, 2, 3, 3, 4, 3, 2, 2, 4, 3, 5, 2, 3, 4, 5, 4, 5, 3, 3, 4, 3, 5, 4, 2, 3, 2, 4, 4, 3, 4, 4, 5, 5, 3, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 1, 5, 3, 2, 3, 4, 5, 4, 3, 2, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 3, 2, 4, 4, 4, 2, 4, 5, 5, 3, 4, 3, 5, 4, 3, 4], "3051": [4, 5, 4, 2, 3, 4, 5, 4, 5, 4, 2, 4, 5, 4, 2, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 2, 5, 4, 3, 3, 3, 4, 3, 5, 4, 4, 3, 3, 4, 1, 3, 5, 3, 3, 3, 4, 3, 2, 4, 3, 3, 4, 3, 3, 4, 2, 3, 3, 2, 5, 2, 3, 3, 3, 4, 3, 5, 5, 3, 3, 3, 5, 3, 4, 4, 5, 2, 1, 4, 4, 3, 2, 1, 3, 4, 3, 4, 3, 4, 2, 4, 4, 4, 2, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 2, 3, 3, 4, 3, 1, 4, 4, 3, 2, 5, 4, 1, 3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 3, 2, 4, 2, 2, 4, 1, 3, 3, 4, 2, 4, 5, 2, 3, 2, 5, 4, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 5, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 5, 5, 3, 5, 2, 2, 5, 2, 4, 1, 3, 2, 2, 2, 4, 4, 4, 1, 3, 4, 3, 3, 3, 5, 4, 4, 2, 5, 4, 2, 2, 4, 3, 4, 2, 4, 4, 1, 5, 3, 3, 4, 4, 5, 4, 2, 5, 4, 4, 4, 2, 3, 5, 4, 3, 2, 4, 4, 5, 4, 4, 4, 2, 3, 5, 3, 2, 4, 4, 4, 3, 4, 2, 3, 5, 5, 4, 3, 4, 3, 3, 5, 3], "3831": [5, 4, 5, 4, 1, 5, 4, 4, 4, 5, 3, 4, 2, 3, 4, 5, 2, 4, 4, 5, 3, 5, 2, 4, 3, 2, 1, 4, 1, 3, 5, 3, 4, 1, 4, 4, 2, 5, 4, 2, 4, 5, 5, 5, 4, 4, 4, 2, 3, 3, 2, 5, 3, 4, 5, 3, 3, 1, 3, 1, 2, 3, 1, 1, 4, 5, 2, 1, 3, 4, 1, 5, 4, 2, 4, 3, 3, 2, 2, 2, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 4], "4621": [5, 5, 4, 5, 1, 3, 4, 5, 4, 4, 2, 3, 4, 4, 2, 2, 4, 2, 4, 4, 3, 4, 4, 4, 5, 2, 5, 3, 5, 1, 3, 5, 3, 2, 3, 2, 4, 4, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 2, 5, 5, 4, 4, 2, 3, 3, 3, 3, 1, 3, 2, 2, 4, 4, 3, 3, 3, 2, 3, 4, 3, 5, 5, 4, 4, 3, 5, 3, 3, 5, 3, 5, 5, 2, 2, 4, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 5, 3, 3, 3, 5, 5, 5, 4, 4, 4], "3004": [5, 5, 4, 5, 4, 2, 3, 3, 5, 3, 5, 5, 5, 3, 5, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 2, 1, 4, 4, 4, 3, 4, 5, 3, 5, 5, 3, 5, 4, 5, 3, 4, 2, 4, 3, 5, 4, 2, 1, 4, 3, 5, 3, 4, 2, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 4, 5, 4, 3, 4, 1, 3, 5, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4], "4381": [3, 2, 5, 4, 3, 4, 5, 1, 3, 2, 1, 4, 4, 4, 3, 3, 3, 3, 3, 1, 4, 3, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 2, 4, 4, 1, 2, 4, 5, 4, 5, 4, 3, 3, 5, 5, 3, 3, 3, 3, 3, 5, 3, 4, 5, 4, 4, 4, 2, 3, 3, 4, 4, 3, 5, 5, 4, 5, 1, 3, 2, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 2, 3, 1, 3, 3, 2, 2, 2, 3, 3, 4, 4, 3, 5, 5, 3, 3, 4, 1, 4, 3, 4, 4, 1, 2, 4, 4, 2, 1, 4, 4, 3, 3, 3, 5, 5, 3, 2, 1, 5, 3, 5, 5, 4, 4, 2, 4, 4, 4, 4, 3, 5, 3, 4, 4, 2, 3, 4, 4, 4, 5, 5, 4, 3, 2, 3, 3, 4, 4, 3, 4, 5, 4, 3, 3, 3, 5, 5, 4, 5, 5, 1, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 2, 5, 1, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 3, 4, 4, 5, 2, 4, 3, 5, 5, 2, 4, 4, 3, 2, 5, 1, 4, 2, 2, 4, 4, 3, 1, 4, 5, 2, 4, 3, 3, 2, 5, 4, 4, 2, 4, 4, 3, 1, 4, 3, 2, 5, 4, 4, 4, 4, 2, 1, 5, 3, 3, 3, 3, 4, 3, 4, 2, 4, 2, 4, 4, 1, 1, 5, 1, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 3, 4, 3, 4, 4, 3, 4, 5, 1, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 2, 3, 2, 5, 3, 3, 3, 4, 5, 4, 4, 5, 2, 3, 3, 4, 3, 2, 4, 5, 4, 4, 4, 4, 3, 5, 2, 2, 2, 1, 1, 5, 1, 4, 4, 2, 5, 2, 4, 4, 3], "4183": [1, 2, 5, 3, 4, 4, 3, 2, 1, 1, 4, 5, 2, 3, 3, 2, 2, 3, 4, 3, 5, 3, 3, 3, 3, 1, 4, 3, 2, 2, 2, 3, 3, 4, 3, 1, 4, 3, 4, 3, 3, 2, 1, 4, 3, 5, 1, 3, 5, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 5, 5, 5, 2, 3, 4, 1, 3, 4, 3, 4, 3, 4, 1, 1, 4, 3, 5, 2, 3, 2, 4, 4, 2, 3, 2, 5, 4, 2, 3, 3, 1, 3, 3, 1, 5, 4, 2, 4, 4, 2, 1, 1, 4, 2, 3, 5, 2, 5, 3, 3, 4, 2, 4, 4, 2, 1, 3, 5, 4, 2, 4, 5, 5, 1, 2, 2, 4, 5, 3, 1, 2, 3, 4, 3, 2, 1, 4, 1, 3, 1, 3, 3, 4, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 1, 5, 3, 3, 5, 2, 2, 4, 3, 5, 1, 3, 4, 2, 3, 3, 1, 2, 3, 4, 4, 1, 3, 4, 3, 3, 1, 2, 3, 4, 4, 5, 3, 4, 5, 5, 2, 3, 5, 3, 3, 1, 5, 5, 4, 1, 1, 1, 2, 4, 3, 3, 4, 4, 4, 3, 1, 4, 3, 3, 2, 5, 3, 5, 5, 4, 2, 1, 5, 3, 4, 4, 3, 2, 4, 1, 3, 4, 5, 2, 1, 3, 4, 3, 1, 1, 4, 2, 4, 3, 2, 5, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 3, 4, 1, 5, 5, 3, 3, 4, 1], "4462": [3, 3, 4, 3, 5, 1, 5, 3, 2, 5, 3, 4, 1, 5, 5, 4, 1, 1, 1, 2], "4495": [5, 5, 4, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 3, 5, 4, 2, 5, 4, 3, 4], "1922": [3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 1, 4, 2, 3, 4, 4, 3, 4, 5, 2, 4, 3, 3, 3, 4, 2, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 2, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 2, 1, 4, 4, 3, 3, 5, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 4, 3, 2, 3, 4, 5, 5, 4, 4, 1, 5, 2, 3, 3, 4, 1, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 2, 3, 3, 4, 2, 3, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 4, 4, 3, 1, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 1, 2, 3, 3, 4, 3, 3, 4, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 2, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 3, 4, 3, 1, 3, 4, 4, 4, 4, 4, 2, 5, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3], "3745": [3, 2, 4, 5, 1, 5, 4, 3, 3, 3, 5, 1, 2, 5, 2, 4, 2, 2, 4, 3, 4, 3, 4, 4, 4, 1, 2, 3, 2, 3, 4, 4, 4, 4, 2, 3, 3, 1, 3, 3, 3, 1, 3, 3, 4, 3, 3, 1, 4, 4, 3, 5, 3, 4, 2, 2, 3, 4, 3, 3, 2, 2, 2, 5, 4, 4, 3, 4, 2, 2, 4, 4, 3, 2, 3, 2, 3, 4, 3, 3, 3, 5, 4, 4, 3, 3, 3, 1, 3, 4, 3, 3, 4, 5, 4, 3, 2, 3, 3, 2, 5, 4, 3, 5, 3, 2, 4, 4, 3, 4, 5, 3, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 5, 5, 2, 4, 4, 2, 4, 3, 2, 3, 3, 4, 3], "3152": [3, 3, 4, 3, 5, 4, 2, 3, 4, 2, 2, 2, 3], "618": [2, 2, 5, 4, 4, 3, 3, 3, 2, 3, 2, 1, 2, 4, 2, 4, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 2, 1, 1, 4, 2, 4, 2, 4, 2], "4630": [4, 2, 4, 5, 2, 4, 4, 5, 5, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4], "3255": [4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 4, 5, 4, 4, 3, 2, 5, 3, 4, 4, 2, 3], "2305": [2, 4, 3, 4, 3, 2, 5, 1, 2, 5, 5, 4, 4, 4, 5, 5, 2, 4, 4, 3, 3, 4, 1, 3, 4, 3, 2, 2, 4, 3, 4, 3, 1, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 2, 2, 4, 2, 3, 3], "617": [5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 3, 4, 3, 4, 4], "442": [3, 2, 3, 4, 4, 5, 5, 5, 4, 2, 4, 2, 3, 3, 4, 4, 5, 4, 2, 4, 5, 3, 2, 4, 4, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 4, 5, 5, 3, 5, 3, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 2, 3, 5, 5, 4, 5, 5, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 1, 4, 5, 2, 4, 3, 4, 2, 2, 4, 4, 5, 3, 2, 3, 2, 4, 4, 5, 5, 4, 4, 5, 2, 5, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 1, 4, 4, 4, 4, 5, 4, 5, 4, 2, 3, 5, 4, 4, 2, 4, 2, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 2, 4, 3, 5, 5, 4, 4, 4, 3, 5, 4, 4, 2, 3, 4, 4, 2, 2, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 2, 4, 4, 5, 2, 4, 5, 2, 3, 5, 4, 5, 3, 4, 5, 1, 5, 5, 5, 5, 1, 5, 2, 4, 2, 2, 5, 4, 5, 4, 3, 2, 4, 4, 4, 2, 4, 1, 1, 1, 3, 5, 5, 1, 4, 5, 4, 5, 5, 1, 4, 5, 3, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 3, 2, 3, 4, 4, 3, 3, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 3, 5, 3, 4, 3, 5, 3, 5, 3, 5, 4, 5, 2, 4, 3, 3, 4, 2, 4, 3, 4, 5, 3, 5, 5, 4, 3, 4, 5, 5, 4, 3, 5, 3, 4, 4, 2, 5, 5, 5, 3, 4, 5, 3, 5, 3, 4, 4, 2, 5, 1, 5, 3, 5, 5, 5, 3, 4, 5, 4], "4479": [4, 4, 5, 5, 3, 4, 5, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4], "2766": [3, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 2, 5, 5, 5, 3, 4, 4, 5, 3, 2, 3, 5, 4, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 5, 4, 5, 5, 3, 5, 4, 5, 2, 4, 3, 4, 5, 5, 4, 2, 5, 5, 4, 5, 1, 5, 4, 4, 5, 4, 3, 5, 5, 3, 5, 5, 4, 5], "3625": [2, 3, 4, 4, 5, 3, 5, 4, 5, 4, 3, 3, 2, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 5, 5, 3, 3, 4, 4, 2, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 2, 2, 4, 4, 3, 3, 5, 2, 4, 2, 4, 3, 4, 3, 3, 3, 1, 5, 4, 4, 4, 1, 3, 4, 4, 3, 3, 5, 5, 3, 4, 1, 4, 3, 3, 4, 2, 5, 3, 5, 2, 4, 3, 1, 4, 3, 5, 1, 1, 4, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 3, 3, 2, 4, 5, 5, 4, 2, 5, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 3, 3, 1, 4, 1, 2, 1, 5, 4, 4, 5, 3, 4], "67": [3, 5, 2, 4, 3, 2, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 2, 5, 5], "1053": [4, 5, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 3, 4, 2, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 5, 3, 3, 4, 1, 4, 3, 5, 5, 5, 4, 3, 2, 5, 4, 3, 4, 5, 2, 3, 3, 4, 3, 1, 4, 3, 3, 1, 2, 3, 3, 2, 3, 4, 4, 2, 3, 3, 4, 3, 4, 1, 5, 2, 3, 3, 4, 3, 3, 1, 4, 3, 4, 4, 4, 1, 5, 4, 3, 5, 3, 4, 4, 3, 2, 3, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 2, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 5, 4, 2, 3, 3, 3, 3, 5, 1, 3, 3, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 4, 4, 1, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 4, 5, 4, 2, 3, 3, 1, 4, 4, 4, 2, 2, 4, 5, 3, 3, 4, 2, 5, 2, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 5, 4, 2, 4, 3, 4, 3, 3, 2, 4, 2, 2, 4, 3, 4, 4], "4084": [5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 5, 4, 5, 3, 5, 1, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "186": [4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 5, 3, 5, 4, 5, 5, 3, 3, 4, 4, 3, 3, 5, 2, 4, 4, 3, 4, 4, 5, 5, 2, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 3, 2, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4], "5163": [4, 3, 5, 4, 5, 5, 3, 3, 4, 3, 5, 3, 3, 4, 2, 2, 1, 5, 4, 3, 4, 4, 3, 1, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 5, 4, 1, 2, 4, 5, 3, 5, 3, 2, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 2, 4, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 2, 3, 2, 5, 4, 3, 2, 2, 3, 3, 5, 4, 4, 5, 2, 5, 5, 2, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 3, 4, 5, 4, 4, 1, 2, 3, 5, 4, 5, 3, 2, 2, 4, 4, 3, 4, 2, 4, 4, 4, 3, 5, 3, 4, 4, 5, 2, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 1, 4, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 1, 4, 3, 2, 5, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 4, 3, 3, 2, 3, 5, 4, 4, 5, 3, 3, 1, 4, 4, 4, 4, 4, 1, 2, 5, 4, 1, 5, 2, 4, 5, 4, 4, 3, 3, 4, 2, 5, 4, 4, 4, 4, 4, 3, 2, 5, 4, 3, 3, 3, 2, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 4, 3, 5, 2, 4, 5, 5, 4, 4, 4, 5, 3, 3, 2, 3, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 4, 4, 2, 5, 4, 3, 3, 4, 5, 4, 5, 4, 1, 4, 4, 4, 5, 5, 4, 5, 2, 4, 4, 5, 5, 2, 2, 2, 4, 1, 5, 2, 2, 4, 4, 3, 4, 5, 4, 2, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 2, 4, 3, 4, 5, 3, 4, 2, 4, 2, 5, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 5, 4, 5, 3, 1, 5, 2, 5, 5, 1, 5, 5, 5, 2, 3, 3, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 5, 3, 4, 3, 2, 4, 3, 3, 4, 4], "3841": [3, 2, 5, 3, 5, 3, 4, 3, 3, 3, 3, 3, 5, 4, 4, 5, 3, 5, 3, 3, 3, 2, 4, 2, 1, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 3, 3, 5, 2, 4, 3, 3, 5, 3, 3, 2, 3, 5, 5, 4, 2, 3, 5, 3, 3, 2, 3, 4, 3, 2, 3, 5, 5, 3, 5, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 3, 3, 2, 1, 4, 5, 5, 5, 4, 1, 4, 5, 4, 3, 4, 5, 4, 5, 1, 4, 3, 4, 3, 5, 3, 4, 4, 2, 4, 3, 5, 4, 1, 4, 4, 4, 3, 4, 3, 4, 3, 5, 2, 4, 3, 1, 5, 5, 2, 3, 3, 1, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 2, 2, 4, 4, 4, 5, 3, 3, 4, 4, 1, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 5, 5, 2, 4, 3, 4, 4, 3, 1, 3, 4, 2, 1, 4, 3, 3, 3, 4, 5, 5, 3, 3, 2, 3, 4, 3, 3, 3, 4, 5, 5, 3, 5, 5, 2, 4, 2, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 2, 3, 3, 5, 2, 3, 5, 4, 3, 2, 1, 2, 5, 4, 4, 3, 1, 4, 2, 2, 3, 2, 4, 1, 4, 4, 3, 3, 2, 1, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 3, 5, 3, 3, 4, 5, 4, 1, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 4, 1, 3, 3, 4, 3, 3, 4, 3, 4, 4, 2, 3, 2, 5, 1, 5, 3, 4, 3, 3, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 3, 5, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 3, 4, 5, 3, 3, 3, 3, 3, 2, 2, 5, 3, 2, 2, 3, 4, 3, 4, 2, 3, 5, 3, 3, 3, 4, 3, 2, 4, 3, 2, 2, 4, 1, 2, 4, 3, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 5, 4, 1, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 2, 5, 3, 3, 3, 4, 2, 3, 3, 5, 3, 2, 5, 2, 2, 1, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 3, 5, 4, 5, 5, 4, 3, 4, 3, 5, 4, 5, 4, 3, 1, 3, 3, 2, 5, 3, 3, 5, 2, 2, 4, 3, 4, 3, 4, 4, 4, 2, 2, 4, 4, 3, 4, 3, 3, 3, 5, 4, 2, 4, 3, 4, 3, 3, 3, 5, 4, 3, 2, 3, 1, 5, 5, 5, 4, 4, 2, 3, 2, 1, 4, 3, 3, 5, 4, 4, 3, 3, 3, 5, 4, 1, 3, 3, 3, 5, 4, 1, 1, 2, 2, 4, 4, 2, 2, 2, 3, 4, 3, 2, 4, 3, 5, 5, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 5, 4, 5, 3, 4, 3, 2, 4, 2, 5, 4, 5, 3, 4, 1, 4, 5, 4, 4, 4, 5, 3, 2, 5, 4, 2, 5, 4, 4, 3, 2, 3, 3, 5, 4, 2, 5, 4, 4, 3, 3, 5, 2, 1, 1, 4, 4, 3, 3, 5, 2, 3, 2, 3, 2, 5, 3, 4, 2, 3, 3, 2, 2, 4, 2, 4, 4, 1, 3, 4, 3, 4, 3, 3, 2, 1, 3, 3, 3, 5, 3, 3, 5, 4, 3, 5, 5, 3, 3, 3, 2, 5, 5, 4, 5, 4, 5, 5, 3, 5, 3, 3, 5, 3, 2, 3, 1, 2, 2, 4, 3, 4, 4, 3, 2, 2, 3, 5, 5, 2, 3, 1, 1, 3, 3, 4, 3, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 3, 3, 3, 5, 1, 3, 3, 2, 3, 3, 3, 2, 5, 3, 2, 3, 4, 5, 5, 5, 3, 1, 1, 3, 3, 4, 3, 4, 2, 4, 2, 4, 3, 1, 2, 5, 3, 4, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 4, 2, 3, 2, 5, 4, 5, 5, 3, 3, 5, 4, 4, 3, 2, 5, 4, 4, 3, 5, 4, 3, 2, 4, 2, 5, 3, 4, 4, 4, 3, 2, 3, 2, 2, 3, 3, 5, 3, 3, 3, 1, 4, 1, 4, 1, 3, 5, 4, 4, 4, 2, 3, 3, 4, 1, 2, 2, 4, 4, 4, 3, 3, 3, 4, 2, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 3, 3, 2, 4, 4, 4, 3, 4, 5, 3, 5, 3, 3, 5, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 3, 3, 2, 2, 1, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 3, 4, 4, 5, 5, 1, 5, 4, 4, 2, 1, 2, 3, 5, 2, 3, 3, 3, 3, 3, 4, 4, 4, 2, 2, 3, 3, 1, 4, 3, 4, 4, 2, 4, 3, 2, 2, 3, 1, 3, 3, 4, 5, 3, 3, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 2, 4, 1, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 4, 3, 2, 4, 3, 4, 2, 3, 4, 3, 1, 4, 4, 2, 4, 3, 3, 3, 2, 4, 3, 5, 4, 5, 4, 2, 5, 3, 4, 2, 4, 4, 3, 1, 2, 4, 5, 3, 2, 5, 4, 2, 2, 2, 4, 3, 4, 3, 4, 3, 5, 3, 3, 5, 4, 2, 3, 5, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 3, 5, 5, 5, 4, 3, 5, 3, 3, 1, 4, 5, 4, 5, 1, 5, 4, 1, 4, 4, 5, 1, 3, 3, 2, 5, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 3, 4, 4, 3, 4, 1, 3, 5, 1, 4, 3, 1, 3, 5, 2, 4, 2, 5, 3, 4, 5, 5, 4, 5, 3, 4, 4, 2, 4, 4, 3, 3, 4, 2, 4, 3, 2, 3, 2, 5], "5236": [2, 4, 3, 3, 5, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 2, 4, 4, 4, 4, 2, 5, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 3, 5, 2, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 3, 3, 5, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 4, 3, 1, 4, 4, 3], "237": [4, 4, 4, 3, 2, 4, 3, 3, 4, 4, 4, 2, 4, 5, 4, 3, 5, 5, 4, 2, 4, 3, 5, 2, 4, 4, 3, 1, 2, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 1, 4, 4, 2, 3, 3, 3, 3, 1, 4, 5, 3, 4, 3, 4, 2, 4, 2, 3, 3, 1, 2, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 5, 2, 4, 4, 2, 4, 5, 4, 3, 3, 4, 4, 5, 3, 5, 4, 3, 4, 2, 2, 3, 5, 4, 4, 3, 2, 4, 3, 4, 5, 1, 2, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 2, 4, 4, 5, 2, 4, 1, 3, 4, 4], "730": [4, 5, 4, 5, 2, 5, 4, 3, 2, 3, 3, 3, 5, 1, 5, 4, 3, 3, 1, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 2, 5, 5, 5, 4, 4, 4, 5, 4], "2839": [4, 4, 4, 2, 3, 2, 3, 4, 2, 4, 3, 4, 4, 2, 4, 2, 3, 5], "4400": [5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 2, 5, 3, 4, 5, 5, 4], "4249": [5, 5, 5, 2, 4, 4, 3, 5, 2, 3, 2, 5, 4, 2, 5, 4, 2, 4, 4, 5, 3, 3, 2, 1, 3, 5, 4, 1, 2, 4, 2, 3, 2, 5, 3, 2, 3, 2, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 2, 3, 1, 4, 3, 4, 1, 2, 2, 1, 2, 5, 4, 3, 4, 3, 4, 3, 2, 5, 3, 4, 3, 4, 3, 5, 5, 4, 3], "350": [4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 5, 1, 4, 5, 3, 3, 4, 3, 4, 4, 3, 5, 5, 4, 3, 5, 4, 4, 4, 5, 5, 4], "4098": [4, 1, 4, 4, 5, 3, 3, 3, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 3, 1, 5, 1, 5, 4, 4, 5, 4, 5, 2, 5, 4, 4, 4, 4, 2, 4, 5, 5, 1, 3, 5, 3, 4, 4, 5, 3, 2, 3, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 5, 1, 4, 3, 3, 4, 3, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 3, 2, 3, 4, 3, 5, 2, 5, 2], "444": [4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 3, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 2, 5, 3, 4, 3, 5, 5, 4, 3, 4, 5], "1543": [3, 4, 3, 3, 4, 5, 3, 4, 4, 1, 4, 3, 3, 3, 2, 4, 2, 2, 4, 3, 5, 3, 5, 3, 4, 4, 3, 4, 3, 3, 3, 4, 5, 5, 4, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 5, 4, 5, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 1, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 4, 4, 3, 4, 2, 3, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 3, 3, 3], "1750": [1, 2, 4, 3, 2, 3, 1, 1, 4, 5, 5, 5, 4, 4, 5, 5, 1, 4, 3, 4, 2, 1, 4, 4, 3, 3, 1, 3, 5, 2, 4, 1, 1, 2], "6017": [2, 4, 5, 4, 4, 3, 4, 1, 2, 4, 4, 3, 2, 4, 3, 4, 3, 5, 3, 2], "2825": [4, 4, 4, 4, 5, 5, 4, 1, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 5, 2, 5, 5, 4, 4, 4, 4, 5, 4, 2, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 5, 4, 2, 5, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 5, 3, 1, 5, 3, 5, 3, 4, 5, 3, 3, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 2, 3, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 2, 4, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 2, 4, 4, 4, 5, 4, 4, 1, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5], "1436": [4, 4, 4, 4, 5, 1, 4, 3, 5, 4, 5, 2, 5, 5, 4, 3, 4], "5963": [3, 1, 3, 5, 2, 4, 5, 4, 5, 3, 5, 3, 5, 5, 4, 2, 3, 5, 5, 3, 4, 1, 2, 4, 4, 4, 5, 4, 4, 5, 2, 4, 2, 5, 5, 4, 5, 2, 4, 3, 3, 4, 3, 2, 3, 1, 3, 5, 3, 4, 3, 1, 3, 1, 4, 4, 5, 3, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 4, 1, 1, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 5, 1, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 2, 5, 2, 3, 5, 3, 1, 2, 4, 3, 3, 5, 2, 4, 4, 5, 2, 2, 3, 5, 4, 3, 2, 3, 3, 2, 2, 2, 2, 5, 3, 5, 2, 3, 3, 5, 3, 4, 3, 1, 4, 4, 5, 5, 4, 1, 5, 4, 5, 3, 2, 4, 4, 3, 5, 5, 2], "3598": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "977": [3, 4, 3, 4, 3, 4, 5, 5, 3, 4, 2, 5, 4, 4, 5, 3, 5, 5, 4, 4, 3, 3, 3, 4, 5, 3, 5, 4, 2, 4, 5, 3, 2, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 5, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 4, 2, 5, 2, 5, 4, 4, 2, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 3, 5, 5, 3, 5, 4, 3, 4, 3, 4, 3, 5, 3, 4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 5, 4, 5, 5, 3, 4, 5, 1, 3, 4, 5, 5, 1, 3, 3, 3, 3, 4, 5, 5, 5, 4, 4, 2, 5, 5, 3, 3, 3, 5, 4, 2, 5, 5, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 4, 2, 3, 5, 5, 5, 3, 4, 4, 2, 5, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 3, 5, 2, 4, 2, 2, 3, 2, 4, 4, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 3, 2, 4, 5, 3, 3, 5, 3, 3, 4, 5, 4, 4, 3], "4010": [4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5], "2294": [5, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3], "2692": [4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 1, 2, 1, 2, 5, 5, 3, 4, 3, 4, 3, 2, 3, 4, 1, 4, 2, 2, 4, 5, 2, 5, 5, 4, 4, 4, 5, 4, 5, 2, 5, 4, 3, 4, 3, 5, 2, 3, 2, 4, 3, 5, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5, 4, 3, 4, 4, 2, 5, 5, 3, 3, 5, 4, 3, 3, 2, 3, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 5, 4, 3, 2, 2], "1528": [5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5], "3203": [5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 2, 5, 5, 4, 2, 5, 5, 4, 4, 4, 4, 4, 1, 5, 4, 5, 4, 5, 4, 2, 4, 4, 5, 5, 5, 2, 1, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 5, 5, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 4, 1, 5, 4, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5], "4133": [5, 5, 2, 4, 4, 4, 3, 1, 2, 5, 5, 1, 4, 4, 4, 1, 4, 4, 4, 4, 1, 3, 4, 1, 1, 3, 3, 4, 5, 5, 1, 2, 1, 5, 3, 5, 1, 4, 3, 2, 5, 5, 5, 5, 5, 2, 5, 3, 4, 3, 4, 4, 3, 1, 4, 2, 2, 4, 2, 4, 1, 5, 4, 2, 4, 2, 1, 4, 4, 4, 3, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 5, 5, 4, 1, 4, 4, 3, 3], "5934": [4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4], "5595": [5, 3, 3, 3, 3, 1, 2, 3, 4, 3, 2, 3, 2, 4, 3, 2, 2, 2, 4, 5, 5, 2, 4, 3, 4, 3, 4, 2, 4, 5, 5, 5, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 2, 1, 3, 2, 4, 1, 4, 4, 2, 4, 4, 2, 3, 3, 4, 3, 5, 3, 2, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 5, 4, 5, 4, 5, 2, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 4, 5, 4, 2, 2, 4, 4, 5, 2, 4, 2, 2, 2, 3, 3, 3, 4, 4, 3, 2, 3, 1, 4, 3, 4, 3, 4, 2, 4, 4, 4, 3, 3, 1, 5, 4, 4, 2, 3, 2, 4, 1, 4, 2, 4, 1, 3, 3, 3, 2, 4, 2, 3, 4, 3, 4, 3, 3, 4, 4, 2, 2], "1185": [5, 4, 2, 5, 5, 2, 5, 5, 1, 1, 4, 4, 3, 5, 5, 5, 4, 4, 5, 1, 2, 3, 3, 5, 4, 1, 5, 5, 4, 5, 4, 3, 3, 5, 3, 2, 3, 2, 1, 4, 3, 3, 3, 5, 2, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 1, 4, 2, 1, 3, 5, 1, 1, 5, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 2, 2, 4], "221": [3, 4, 4, 3, 3, 2, 4, 3, 3, 2, 2, 4, 2, 1, 5, 3, 4, 4, 4], "4322": [5, 1, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 4, 2, 3, 4, 4, 3, 3, 3, 4, 3, 1, 3, 5, 4, 4, 4, 3, 2, 3, 4, 4, 3, 2, 5, 3, 5, 5, 2, 1, 3, 4, 3, 4, 5, 3, 1, 3, 5, 2, 3, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 4, 3, 1, 5, 3, 4, 3, 3, 1, 3, 2, 3, 3, 3, 4, 3, 2, 5, 4, 4, 3, 3, 4, 3, 3, 5, 3, 4, 4, 5, 4, 4, 2, 4, 4, 3, 1, 3, 3, 1, 4, 3, 3, 2, 1, 3, 2, 2, 1, 2, 2, 2, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 3, 2, 4, 4, 3, 3, 2, 1, 5, 4, 5, 3, 5, 3, 3, 5, 3, 3, 3, 5, 5, 2, 3, 4, 4, 2, 5, 4, 5, 3, 3, 3, 1, 2, 5, 2, 4, 4, 3, 5, 4, 3, 5, 2, 4, 5, 5, 4, 5, 3, 1, 3, 3, 4, 2, 3, 5, 3, 5, 3, 5, 3, 4, 5, 5, 5, 3, 3, 5, 5, 2, 3, 4, 1, 5, 3, 3, 4, 4, 5, 4, 5, 1, 5, 1, 3, 2, 3, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 4, 5, 2, 5, 3, 4, 5, 3, 4, 5, 1, 3, 4, 1, 2, 3, 2, 2, 3, 1, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 5, 3, 5, 5, 5, 2, 3, 5, 1, 5, 5, 2, 4, 5, 4, 1, 3, 5, 5, 4, 4, 1, 5, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 5, 4, 2, 3, 5, 2, 3, 2, 5, 4, 3, 3, 3, 2, 1, 3, 5, 5, 3, 3, 2, 5, 3, 5, 3, 3, 5, 5], "1685": [4, 4, 4, 4, 2, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 2, 3, 5, 3, 4, 4, 4, 5, 5, 5, 2, 3, 3, 5, 4, 3, 2, 4, 3, 3, 2, 2, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 3, 5, 3, 5, 5, 4, 2, 2, 4, 2, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 5, 2, 4, 4, 5, 3, 5, 3, 2, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 4, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 5, 4, 5, 4, 2, 3, 4, 3, 4, 3, 4, 4, 3, 3, 5, 2, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 2, 3, 4, 2, 3, 2, 5, 4, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 2, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 2, 2, 5, 3, 5, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 4, 3, 3, 2, 2, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 3, 2, 5, 4, 5, 3, 4, 4, 4, 3, 3, 2, 3, 4, 3, 3, 3, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 2, 3, 5, 4, 4, 3, 4, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 5, 2, 4, 3, 5, 4, 3, 4, 2, 2, 3, 4, 3, 3, 2, 4, 2, 2, 4, 5, 2, 2, 3, 5, 3, 4, 3, 3, 5, 3, 3, 4, 4, 2, 3, 3, 2, 3, 3, 2, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 5, 2, 4, 3, 4, 3, 4, 4, 4, 4], "2949": [4, 5, 4, 1, 5, 3, 3, 4, 3, 3, 3, 4, 3, 4, 1, 4, 3], "4407": [4, 4, 4, 2, 2, 5, 3, 1, 4, 3, 3, 4, 1, 3, 4, 4, 3, 5, 3, 2, 3, 5, 4, 3, 5, 4, 4, 3, 5, 2, 2, 4, 4, 2, 1, 3, 3, 4, 4, 5, 2, 4, 4, 2, 3, 2, 4, 4, 3, 5, 5, 3, 4, 3, 5, 3, 2, 5, 4, 2, 2, 3, 4, 3, 1, 2, 5, 2, 3, 2, 1, 4, 5, 1, 2, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 4, 2, 5, 4, 4, 3, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 1, 5, 2, 2, 4, 5, 2, 5, 2, 4, 2, 4, 4, 4, 5, 3, 3, 4, 2, 3, 3, 5, 3, 2, 2, 4, 1, 5, 1, 5, 4, 2, 4, 2], "421": [4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 1, 5, 5, 4, 4], "4555": [1, 4, 2, 5, 4, 5, 2, 4, 1, 4, 4, 5, 2, 3, 2, 4, 2, 4, 5, 2, 5, 4, 4, 4, 3, 4, 5, 4, 2, 4, 4, 1, 1, 1, 2, 4, 3, 1, 5, 5, 3], "4598": [4, 5, 3, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 2, 3, 5, 4, 4, 5, 2, 3, 4, 4, 3, 3, 3, 4, 2, 3, 4, 1, 3, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 2, 3, 4, 4, 4, 3, 3, 3, 3, 5, 3, 2, 5, 5, 4, 5, 3, 5, 4, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4], "3260": [4, 2, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 3, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 2, 5, 3, 3, 2, 4, 5, 5, 4, 4, 5, 2, 5, 3, 5, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 5, 5, 4, 2, 3, 3, 3, 4, 5, 3, 1, 4, 4, 4, 5, 3, 4, 5, 3, 2, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 3, 3, 4, 4, 3, 5, 3, 3, 5, 3, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 4, 4, 4, 2, 5, 4, 5, 4, 2, 3, 5, 5, 2, 3, 5, 4, 4, 5, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4], "353": [3, 4, 4, 5, 1, 4, 3, 5, 2, 4, 5, 5, 4, 5, 3, 5, 5], "4812": [3, 4, 3, 2, 1, 3, 2, 3, 2, 3, 4, 1, 1, 1, 1, 5, 5, 2, 1, 4, 5, 1, 4, 1, 1, 3, 4, 4, 4, 1, 3, 3, 4, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 3, 3, 2, 2, 5, 1, 4, 1, 5, 3, 4, 3, 4, 3, 5, 3, 4, 1, 2, 5, 3, 1, 1, 1, 4, 4, 4, 3, 2, 1, 4, 5, 2, 4, 4, 1, 5, 5, 4, 3, 2, 3, 4, 3, 2, 4, 4, 3, 3, 5, 3, 4, 5, 4, 3, 3, 4, 3, 2, 3, 3, 5, 5, 4], "700": [4, 5, 5, 5, 5, 3, 5, 3, 5, 5, 1, 4, 1, 5, 4, 4, 4, 4, 5, 4, 2, 5, 2, 4, 3, 4], "4877": [4, 5, 4, 4, 5, 4, 4, 3, 5, 3, 3, 2, 5, 4, 5, 5, 3, 4, 5, 4, 4, 1, 3, 1, 4, 5, 4, 2, 4, 3, 3, 5, 4, 5, 5, 5, 3, 3, 5, 2, 4, 3, 4, 3, 3, 2, 5, 5, 4, 3, 1, 4, 5, 4, 5, 5, 5, 5, 4, 5], "6010": [5, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 4, 4, 2, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 2, 5, 3, 1, 3, 5, 5, 4, 5, 5, 2, 2, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 2, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 3, 5, 4, 2, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 2, 4, 4, 4, 3, 4, 5, 3, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5], "4418": [3, 1, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 2, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 2, 4, 3, 5, 4, 1, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 1, 4, 3, 4, 2, 5, 5, 4, 5, 5, 2, 4, 1, 5, 3, 4, 2, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 3, 1, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 2, 2, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 1, 1, 4, 2, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 2, 4, 3, 3, 4, 5, 3, 2, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 2, 4, 3, 2, 2, 4, 4, 5, 4, 4, 5, 3, 5, 4, 2, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 1, 3, 5, 3, 5, 4, 4, 5, 4], "4508": [3, 3, 2, 3, 2, 2, 2, 5, 5, 3, 1, 3, 4, 3, 5, 3, 4, 2, 3, 3, 4, 3, 3, 1, 4, 4, 5, 3, 1, 4, 4, 4, 4, 4, 4, 2, 3, 2, 4, 4, 3, 2, 3, 3, 1, 3, 4, 4, 5, 4, 1, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 1, 3, 3, 3, 3, 2, 1, 4, 4, 5, 4, 3, 4, 5, 2, 5, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 5, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 4, 1, 5, 3, 4, 2, 2, 3, 4, 3, 4, 2, 2, 3, 3, 3, 2, 5, 4, 3, 1, 4, 3, 4, 2, 3, 1, 4, 2, 3, 3, 1, 4, 1, 1, 1, 4, 3, 3, 1, 3, 2, 2, 4, 3, 3, 5, 3, 3, 5, 2, 2, 3, 5, 2, 2, 3, 4, 5, 2, 4, 1, 2, 3, 2, 4, 2, 3, 3, 5, 2, 5, 1, 4, 3, 4, 2, 1, 4, 2, 3, 4, 1, 4, 2, 1, 4, 4, 2, 3, 4, 2, 5, 2, 4, 2, 1, 2, 4, 3, 5, 2, 3, 1, 2, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 1, 2, 5, 3, 2, 4, 4, 3, 4, 5, 4, 4, 4, 1, 4, 3, 2, 3, 3, 3, 1, 2, 3, 4, 4, 4, 1, 1, 4, 4, 4, 3, 1, 2, 4, 4, 4, 1, 4, 5, 2, 4, 4, 4, 2, 3, 1, 2, 2, 3, 1, 3, 4, 5, 4, 2, 3, 4, 3, 1, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 5, 2, 1, 1, 3, 1, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 1, 2, 4, 3, 2, 4, 4, 3, 5, 2, 4, 2, 3, 1, 1, 4, 3, 4, 1, 3, 2, 5, 1, 3, 2, 3, 3, 4, 5, 3, 5, 1, 3, 3, 2, 5, 5, 3, 2, 4, 2, 2, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 2, 4, 4, 1, 3, 4, 3, 3, 1, 4, 2, 4, 3, 3, 4, 4, 4, 3, 2, 3, 2, 2, 2, 4, 1, 2, 3, 3, 4, 4, 4, 4, 3, 4, 3, 2, 3, 2, 2, 4, 2, 3, 5, 3, 3, 1, 1, 4, 3, 1, 4, 4, 4, 2, 3, 1, 4, 4, 2, 2, 4, 4, 2, 3, 2, 1, 3, 4, 3, 2, 3, 3, 3, 1, 1, 2, 4, 3, 4, 3, 3, 3, 3, 4, 3, 5, 4, 3, 2, 3, 5, 5, 3, 1, 3, 3, 1, 1, 2, 4, 2, 4, 3, 2, 1, 2, 2, 3, 3, 4, 2, 1, 3, 1, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 1, 2, 3, 4, 4, 1, 4, 5, 5, 4, 4, 1, 5, 4, 2, 4, 5, 5, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 2, 4, 5, 4, 5, 3, 4, 4, 4, 1, 5, 4, 5, 5, 3, 3, 4, 3, 4, 5, 4, 2, 4, 4, 2, 2, 3, 4, 1, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 5, 2, 1, 3, 3, 4, 4, 3, 4, 4, 4, 1, 5, 3, 5, 3, 2, 4, 4, 5, 4, 2, 4, 5, 1, 4, 4, 4, 3, 4, 3, 4, 4, 1, 2, 3, 2, 2, 4, 1, 4, 2, 3, 1, 3, 4, 1, 3, 3, 2, 3, 1, 4, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 2, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 2, 2, 4, 1, 2, 2, 2, 2, 4, 1, 2, 1, 2, 3, 1, 2, 3, 2, 2, 2, 3, 3, 5, 4, 4, 4, 1, 1, 4, 2, 4, 3, 2, 4, 4, 4, 3, 2, 3, 4, 4, 4, 2, 3, 1, 1, 3, 5, 4, 1, 3, 5, 4, 4, 4, 3, 2, 3, 4, 3, 2, 4, 3, 3, 2, 3, 2, 4, 2, 4, 2, 3, 3, 3, 2, 4, 5, 5, 3, 3, 4, 3, 3, 4, 2, 1, 4, 2, 4, 4, 4, 4, 1, 2, 5, 5, 4, 2, 5, 3, 2, 2, 3, 4, 1, 3, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 1, 2, 5, 3, 4, 4, 2, 3, 4, 3, 1, 4, 4, 1, 4, 4, 2, 4, 4, 2, 1, 2, 1, 3, 3, 4, 2, 2, 3, 1, 4, 2, 2, 3, 4, 3, 2, 3, 5, 1, 2, 1, 1, 2, 5, 2, 1, 5, 4, 5, 4, 3, 3, 4, 2, 3, 4, 2, 2, 4, 2, 4, 2, 4, 3, 3, 3, 4, 2, 2, 4, 3, 4, 5, 2, 3, 2, 2, 2, 4, 1, 2, 2, 5, 3, 2, 1, 2, 3, 1, 1, 1, 4, 1, 5, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 3, 3, 3, 2, 3, 3, 5, 1, 2, 2, 3, 1, 2, 4, 3, 4, 1, 1, 2, 4, 4, 1, 2, 2, 5, 1, 2, 4, 4, 4, 1, 2, 1, 4, 1, 3, 3, 4, 2, 1, 1, 4, 2, 1, 5, 3, 2, 1, 1, 3, 4, 3, 3, 4, 2, 3, 3, 3, 5, 4, 1, 4, 2, 3, 3, 1, 4, 3, 1, 2, 1, 2, 3, 3, 3, 3, 4, 1, 5, 2, 2, 4, 4, 3, 4, 5, 4, 3, 1, 2, 4, 3, 4, 2, 3, 3, 4, 4, 3, 4, 1, 1, 3, 1, 2, 3, 2, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 3, 4, 5, 5, 2, 5, 1, 3, 3, 4, 5, 3, 2, 4, 4, 3, 5, 3, 2, 4, 1, 4, 2, 1, 5, 4, 4, 4, 2, 4, 5, 4, 4, 3, 3, 3, 4, 2, 2, 3, 4, 4, 3, 1, 1, 1, 1, 3], "4238": [2, 2, 3, 3, 2, 4, 2, 5, 3, 2, 3, 3, 2, 5, 4, 5, 3, 5, 4, 5, 2, 3, 5, 5, 4, 2, 2, 2, 4, 2, 5, 3, 4, 3, 4, 4, 5, 5, 2, 3, 5, 4, 4, 1, 2, 5, 2, 4, 4, 5, 5, 4, 3, 4, 4, 2, 3, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 4, 2, 2, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 3, 5, 3, 4, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 1, 2, 2, 3, 4, 3, 3, 3, 4, 4, 3, 3, 2, 3, 4, 5, 4, 3, 3, 2, 2, 5, 1, 5, 3, 3, 4, 4, 2, 3, 4, 2, 3, 2, 4, 3, 5, 2, 1, 5, 3, 3, 3, 3, 5, 2, 2, 4, 5, 3, 5, 2, 4, 3, 3, 5, 4, 4, 5, 5, 3, 3, 5, 4, 3, 5, 4, 5, 3, 3, 4, 3, 5, 4, 5, 3, 5, 3, 2, 4, 3, 3, 3, 4, 2, 3, 3, 2, 5, 3, 2, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 2, 2, 4, 2, 5, 3, 5, 5, 4, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 2, 3, 2, 5, 4, 4, 2, 3, 4, 4, 2, 2, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 2, 4, 2, 3, 4, 3, 2, 4, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 2, 2, 3, 2, 5, 5, 4, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 3, 4, 2, 4, 4, 2, 4, 3, 5, 4, 4, 4, 2, 2, 4, 2, 3, 1, 1, 1, 1, 1, 3, 3, 5, 4, 3, 3, 1, 1, 4, 3, 2, 1, 1, 3, 2, 1, 5, 3, 4, 4, 3, 4, 2, 5, 1, 2, 5, 3, 3, 1, 3, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 5, 3, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 1, 3, 5, 3, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 2, 4, 1, 4, 5, 3, 3, 4, 3, 5, 3, 5, 3, 4, 2, 3, 4, 4, 4, 5, 3, 3, 5, 3, 3, 5, 4, 3, 2, 2, 2, 3, 1, 3, 4, 4, 3, 3, 4, 5, 4, 3, 3, 5, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 1, 3, 4, 5, 2, 2, 3, 3, 4, 3, 4, 4, 3, 4, 2, 1, 3, 4, 3, 3, 1, 4, 4, 5, 4, 2, 4, 4, 4, 3, 4, 4, 4, 5, 1, 2, 4, 4, 4, 4, 3, 3, 5, 5, 3, 4, 5, 5, 5, 2, 5, 4, 3, 2, 4, 4, 4, 4, 4, 3, 5, 4, 5, 2, 4, 3, 1, 2, 4, 5, 3, 1, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 1, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 1, 1, 1, 4, 1, 5, 4, 4, 5, 4, 3, 4, 5, 1, 4, 4, 2, 5, 3, 2, 4, 3, 3, 5, 4, 2, 5, 3, 2, 2, 2, 4, 3, 4, 2, 3, 3, 3, 2, 2, 3, 3, 4, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 5, 3, 3, 4, 3, 4, 5, 4, 3, 5, 2, 4, 1, 1, 3, 4, 3, 4, 3, 2, 2, 4, 5, 3, 2, 4, 2, 4, 2, 2, 5, 3, 5, 1, 4, 3, 5, 1, 3, 4, 5, 4, 3, 3, 5, 3, 2, 5, 4, 2, 5, 5, 5, 2, 3, 2, 5, 4, 4, 4, 4, 2], "3502": [5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5], "4974": [5, 3, 5, 2, 5, 2, 5, 4, 3, 3, 3, 3, 1, 3, 4, 4, 4, 2, 4, 5, 4, 1, 2, 1, 2, 3], "3996": [4, 5, 5, 5, 4, 4, 2, 5, 4, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 3, 5, 5, 4, 3, 3, 4, 2, 4, 5, 5, 4, 3, 5, 4, 5, 4, 5, 3, 5, 3, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 2, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 2, 4, 4, 5, 4, 5, 4, 3, 4, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 4, 3, 4, 3, 5, 5, 5], "4187": [5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4], "1604": [4, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5], "2932": [4, 5, 5, 4, 4, 2, 4, 5, 3, 4, 3, 3, 5, 5, 5, 4, 5, 4, 2, 3, 5, 4, 4, 5], "4551": [4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 3, 5, 3, 5, 4, 5, 4, 2, 3, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 3, 5, 2, 4, 4, 1, 5, 2, 5, 4, 3, 3, 5, 5], "5714": [4, 4, 3, 3, 2, 4, 4, 5, 5, 4, 4, 4, 2, 4, 4, 3, 4, 1, 4, 5, 2, 2, 4, 5, 5, 5, 4, 4, 2, 4, 5, 3, 4, 4, 4, 5, 3, 1, 1, 3, 5, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5], "2114": [3, 3, 5, 3, 5, 5, 5, 5, 2, 5, 4, 5, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 1, 3, 3, 5, 3, 3, 5, 2, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 5, 3, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 5, 3, 4, 5], "4256": [3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 2, 5], "136": [3, 3, 4, 3, 1, 1, 4, 4, 3, 3, 5, 4, 4, 3, 3, 1, 1, 2, 1, 2, 1, 5, 1, 2, 5, 1, 4, 1, 3, 4, 5, 3, 4, 3, 4, 4, 2, 2, 1, 3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 2, 4, 4, 5, 1, 2, 1, 3, 4, 4, 3, 1, 4, 4, 5, 4, 3, 4, 5, 1, 1, 5, 5, 3, 4, 1, 4, 2, 4, 2, 4, 5, 1, 4, 2, 1, 4, 4, 5, 5, 4, 5, 3, 4, 5, 3, 2, 4, 4, 5, 3, 4, 3, 2, 4, 4, 2, 2, 1, 2, 4, 1, 1, 3, 1, 2, 3, 4, 1, 5, 4, 5, 5, 5, 5, 2, 4, 3, 1, 2, 2, 4, 4, 5, 2, 1, 4, 2, 1, 2, 4, 1, 1, 4, 3, 4, 4, 1, 4, 4, 5, 2, 4, 3, 1, 1, 2, 4, 3, 3, 5, 4, 2, 3, 4, 1, 5, 1, 3, 3, 5, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 1, 1, 4, 4, 5, 5, 3, 5, 5, 1, 2, 2, 3, 2, 3, 4, 5, 4, 4, 3, 2, 5, 2, 1, 4, 1, 1, 3, 4, 5, 2, 5, 3, 2, 4, 2, 5, 4, 5, 1, 2, 3, 2, 1, 3, 4, 3, 1, 4, 1, 5, 3, 1, 5, 3, 3, 3, 1, 4, 1, 1, 3, 4, 2, 4, 3, 2, 3, 1, 1, 4, 4, 1, 3, 2, 5, 4, 2, 3, 4, 5, 1, 4, 1, 5, 1, 1, 5, 4, 4, 4, 4, 3, 3, 2, 2, 1, 5, 4, 4, 5, 3, 5, 1, 3, 1, 4, 2, 2, 4, 5, 3, 3, 1, 5, 4, 2, 4, 4, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 2, 4, 4, 2, 4, 1, 1, 2, 3, 3, 5, 4, 5, 3, 3, 4, 5], "3626": [3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 5, 5, 5, 4, 3, 4, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 3, 4, 4, 2, 4, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 5, 3, 4, 4, 3, 3, 5, 4, 3, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 4, 5, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 5, 3, 5, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 2, 2, 4, 4, 3, 3, 3, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 3, 3, 1, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 2, 5, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 5, 3, 5, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 2, 4, 4, 4, 3, 4, 3, 3, 5, 5, 3, 3, 3, 4, 3, 2, 4, 4, 3, 4, 5, 3, 5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 2, 3, 4, 3, 4, 5, 5, 3, 3, 2, 3, 3, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 5, 3, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 5, 3, 5, 4, 2, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 1, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 4, 4, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 2, 4, 4, 4, 3, 4, 2, 5, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 5, 3, 5, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 4, 3, 5, 3, 3, 5, 3, 4, 5, 4, 4, 3, 4, 5, 3, 3, 4, 2, 4, 3, 5, 3, 4, 4, 3, 5, 3, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3], "5978": [2, 1, 2, 2, 5, 5, 4, 5, 4, 2, 5, 1, 4, 5, 5, 4, 2, 5, 1, 5, 3, 5, 4, 5, 3, 3, 4, 4, 2, 4, 5, 4, 4, 4, 2, 5, 3, 2, 3, 4, 5, 4, 2, 5, 5, 2, 4, 5, 4, 5, 3, 4, 1, 2, 2, 4, 2, 4, 2, 5, 1, 5, 1, 3, 2, 3, 2, 3, 3, 2, 1, 2, 4, 5, 5, 5, 2, 1, 4, 4, 5, 4, 1, 3, 5, 5, 5, 4, 2, 5, 3, 2, 3, 3, 4, 5, 3, 3, 1, 4, 4, 2, 5, 1, 2, 3, 4, 3, 2, 1, 4, 3, 4, 1, 4, 3, 5, 4, 5, 4, 3, 3, 2, 3, 5, 1, 2, 4, 3, 2, 3, 2, 2, 1, 1, 3, 2, 1, 2, 1, 2, 5, 2, 5, 4, 5, 3, 1, 4, 3, 5, 3, 3, 2, 5, 4, 3, 3, 5, 5, 2, 2, 4, 4, 1, 5, 4, 1, 5, 2, 2, 1, 4, 5, 5, 5, 4, 1, 5, 4, 5, 1, 4, 4, 3, 5, 3, 3, 4, 2, 2, 3, 3, 2, 4, 2, 2, 1, 5, 5, 5, 4, 4, 1, 3, 2, 4, 3, 5, 3, 3, 3, 4, 5, 1, 5, 2, 5, 2, 3, 4, 5, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 2, 2, 5, 1, 5, 1, 5, 2, 4, 3, 4, 1, 1, 1, 1, 5, 4, 2, 3, 2, 3, 5, 4, 3, 4, 2, 1, 3, 1, 3, 3, 1, 5, 5, 1, 2, 1, 4, 2, 4, 3, 2, 1, 3, 1, 1, 2, 2, 2, 3, 2, 3, 3, 4, 2, 5, 2, 3, 4, 3, 5, 3, 5, 3, 1, 4, 2, 3, 2, 3, 2, 3, 5, 1, 1, 1, 4, 4, 2, 4, 1, 2, 3, 2, 5, 5, 2, 3, 3, 4, 2, 5, 1, 5, 5, 5, 4, 3, 5, 4, 1, 2, 3, 3, 4, 5, 3, 5, 2, 2, 3, 5, 2, 2, 5, 3, 5, 2, 5, 5, 5, 5, 1, 1, 1, 2, 4, 2, 5, 2, 2, 5, 4, 3, 3, 1, 3, 3, 4], "484": [5, 3, 4, 4, 3, 5, 3, 2], "5824": [2, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 2, 4, 3, 3, 2, 5, 4, 5, 4, 3, 4, 3, 4, 3, 5, 5, 3, 1, 4, 4, 4, 3, 4, 3, 3, 3, 2, 2, 3, 2, 2, 5, 3, 3, 4, 3, 4, 5, 3, 3, 4, 3, 2, 4, 3, 3, 3, 2, 4, 2, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 1, 2, 3, 5, 4, 4, 3, 5, 3, 3, 3, 3, 4, 4, 1, 3, 3, 5, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 5, 3, 5, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 2, 4, 1, 4, 1, 3, 2, 2, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 1, 5, 2, 4, 2, 3, 4, 5, 2, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 2, 4, 3, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 5, 3, 3, 5, 2, 3, 3, 3, 3, 1, 4, 1, 3, 5, 3, 4, 3, 4, 5, 5, 4, 3, 2, 4, 4, 3, 2, 4, 3, 3, 4, 5, 3, 1, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 1, 5, 2, 4, 3, 3, 4, 4, 5, 5, 2, 3, 5, 2, 2, 3, 3, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 2, 3, 1, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 5, 2, 1, 1, 3, 2, 3, 1, 3, 3, 5, 2, 3, 3, 3, 3, 3, 3, 2, 4, 2, 4, 1, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 4, 4, 3, 2, 1, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 2, 1, 4, 2, 1, 3, 3, 5, 2, 2, 4, 2, 2, 5, 4, 3, 2, 3, 2, 4, 4, 3, 3, 5, 4, 2, 1, 3, 3, 2, 2, 3, 4, 5, 3, 1, 4, 2, 4, 4, 4, 2, 3, 3, 3, 2, 2, 3, 2, 4, 4, 4, 3, 5, 2, 3, 2, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 5, 3, 4, 4, 3, 3, 4, 4, 2, 3, 1, 1, 4, 4, 4, 3, 3, 4, 5, 4, 4, 1, 3, 4, 3, 3, 3, 3, 1, 4, 2, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4], "4163": [5, 5, 2, 4, 3, 3, 4, 3, 1, 5, 3, 4, 2, 5, 3, 4, 3, 4, 2, 2], "2021": [5, 4, 5, 4, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 3, 2, 5, 5, 3, 1, 3, 3, 3, 5, 5, 1, 5, 3, 5, 4, 1, 4, 3, 1, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 4, 2, 3, 5, 4, 5, 5, 1, 4, 3, 5, 5, 2, 5, 3, 5, 5, 4, 5, 5, 2, 3, 3, 5, 4, 5, 5, 4, 4, 5, 4, 3, 3, 1, 4, 4, 4, 1, 2, 5, 5, 1, 5, 2, 5, 5, 2, 4, 5, 4, 5, 5, 5, 4, 3, 3, 2, 4, 3, 5, 4, 3, 3, 5, 5], "682": [3, 5, 3, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "5266": [5, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 5, 3, 3, 4, 3, 5, 3, 4, 4, 4, 5], "1996": [2, 1, 3, 5, 3, 5, 4, 4, 5, 5, 2, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 2, 4, 4, 4, 4, 2, 3, 4, 2, 1, 1, 4, 5, 5, 5, 2, 5, 2, 4, 5, 4, 4, 2, 4, 4, 3, 2, 4, 3, 4, 5, 4, 4, 2, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 4, 4, 2, 5, 5, 4, 5, 1, 3, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 3, 2, 4, 3, 5, 5, 3, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3], "752": [4, 5, 3, 2, 1, 1, 4, 4, 1, 3, 3, 2, 4, 5, 1, 2, 1, 1, 5, 2, 3, 2, 2, 3, 5, 3, 2, 5, 2, 1, 2, 4, 1, 1, 5, 1, 2, 1, 1, 3, 3, 4, 1, 3, 2, 4, 3, 5, 4, 1, 1, 3, 3, 4, 2, 5, 1, 5, 3, 4, 2, 1, 4, 1, 1, 4, 2, 5, 5, 1, 5, 1, 1, 4, 4, 3, 4, 3, 4, 2, 4, 4, 2, 5, 1, 4, 5, 1, 3, 2, 5, 2, 1, 3, 2, 2, 4, 1, 1, 2, 2, 1, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 1, 4, 1, 1, 1, 1, 4, 4, 5, 2, 4, 1, 5, 2, 2, 1, 4, 1, 1, 2, 1, 4, 1, 2, 1, 2, 4, 3, 2, 2, 4, 3, 5, 3, 2, 5, 3, 1, 5, 5, 2, 3, 1, 1, 2, 5, 2, 4, 1, 3, 1, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 4, 4, 1, 5, 2, 1, 3, 4, 3, 5, 1, 1, 5, 4, 1, 4, 1, 1, 1, 5, 1, 1, 4, 5, 4, 1, 3, 2, 4, 4, 5, 2, 4, 5, 5, 3, 4, 4, 3, 3, 1, 3, 3, 2, 1, 1, 4, 4, 5, 5, 2, 4, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 4, 3, 3, 1, 5, 4, 4, 4, 1, 5, 3, 3, 1, 4, 2, 3, 3, 1, 5, 2, 4, 5, 5, 1, 2, 1, 1, 4, 4, 4, 4, 4, 1, 3, 3, 2, 1, 1, 2, 2, 1, 1, 4, 4, 5, 5, 4, 2, 5, 4, 2, 4, 3, 1, 2, 3, 1, 1, 3, 2, 1, 2, 1, 5, 1, 1, 5, 1, 4, 4, 5, 3, 1, 5, 2, 4, 4, 4, 3, 2, 1, 1, 5, 5, 4, 2, 2, 1, 4, 4, 3, 4, 5, 3, 1, 5, 3, 2, 4, 4, 5, 5, 5, 5, 5, 3, 2, 1, 2, 2, 1, 4, 5, 5, 1, 5, 3, 1, 3, 4, 5, 1, 2, 4, 5, 4, 5, 2, 1, 1, 4, 4, 5, 1, 4, 1, 3, 3, 1, 1, 1, 3, 1, 5, 4, 4, 5, 4, 2, 3, 4, 3, 2, 1, 4, 4, 3, 2, 3, 1, 3, 5, 1, 3, 1, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 5, 4, 4, 3, 2, 3, 4, 3, 3, 5, 1, 2, 4, 4, 3, 1, 4, 1, 2, 4, 4, 4, 3, 4, 1, 5, 1, 3, 4, 2, 1, 2, 4, 3, 2, 3, 1, 1, 5, 1, 2, 3, 2, 1, 1, 1, 1, 3, 3, 4, 2, 5, 2, 3, 2, 1, 2, 5, 4, 4, 2, 4, 3, 1, 2, 4, 3, 5, 5, 3, 4, 4, 2, 3, 4, 2, 4, 1, 2, 2, 1, 4, 2, 4, 4, 3, 4, 4, 2, 4, 1, 1, 1, 4, 2, 5, 4, 1, 2, 5, 2, 4, 3, 1, 3, 1, 2, 1, 1, 5, 3, 1, 3, 1, 3, 1, 1, 4, 1, 3, 2, 3, 3, 2, 1, 3, 1, 5, 3, 2, 4, 4, 4, 3, 2, 5, 2, 4, 3, 4, 5, 5, 4, 3, 4, 1, 5, 5, 2, 3, 2, 1, 1, 2, 1, 4, 5, 1, 1, 4, 4, 5, 1, 1, 5, 5, 4, 4, 5, 4, 4, 1, 5, 2, 4, 2, 3, 2, 5, 4, 1, 5, 3, 5, 2, 4, 5, 2, 4, 4, 2, 3, 4, 4, 5, 2, 4, 2, 2, 1, 4, 2, 5, 1, 2, 2, 5, 2, 4, 4, 3, 4, 2, 3, 1, 4, 1, 4, 5, 5, 3, 1, 2, 5, 1, 2, 2, 1, 2, 1, 4, 4, 3, 2, 4, 1, 3, 1, 3, 5, 4, 1, 4, 5, 3, 4, 4, 4, 1, 2, 1, 2, 1, 4, 3, 2, 4, 1, 5, 1, 4, 5, 4, 1, 2, 4, 4, 2, 1, 4, 2, 1, 1, 2, 4, 3, 1, 3, 3, 4, 3, 4, 4, 4, 2, 1, 5, 5, 1, 4, 1, 2, 4, 5, 4, 4, 5, 4, 1, 1, 5, 4, 2, 5, 5, 3, 2, 2, 4, 1, 3, 4], "787": [4, 4, 3, 4, 5, 4, 4, 2, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 2, 4, 4, 4, 5, 1, 4, 5, 5, 5, 4, 3, 4], "4224": [2, 5, 5, 3, 4, 5, 5, 5, 4, 2, 2, 4, 4, 3, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 2, 4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 1, 4, 3, 4, 2, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 3, 2, 5, 3, 5, 2, 4, 4, 4, 2, 4, 5, 4, 3, 3, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 3, 3, 2, 5, 3, 4, 3, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 4, 2, 3, 5, 3, 4, 2, 3, 4, 5, 5, 3, 3, 3, 4, 3, 3, 5, 4, 3, 3, 2, 3, 2, 5, 5, 4, 4, 2, 3, 4, 5, 4, 5, 3, 5, 4, 2, 4, 3, 5, 4, 3, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 4, 5, 3, 5, 5, 5, 4, 3, 3, 1, 4, 5, 3, 5, 5, 5, 2, 4, 4, 3, 3, 3, 5, 5, 5, 3, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 1, 5, 3, 4, 5, 3, 3, 4, 5, 2, 4, 4, 3, 4], "2368": [5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 2, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 1, 5, 4, 5, 4, 4, 4, 3, 4, 4, 2, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 5, 2, 3, 5, 4, 4, 5, 3, 5, 5, 3, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5], "5517": [5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 3, 5, 3, 4, 2, 5, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 2, 4, 2, 4, 4, 5, 4, 3, 3, 5, 3, 5, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 5, 2, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 3, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 2, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 3, 3, 4, 2, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 3, 2, 4, 2, 3, 4, 3, 2, 3, 2, 4, 4, 4, 5, 4, 3, 3, 5, 3, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 5, 2, 4, 4, 5, 3, 4, 4, 4], "2317": [5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 5, 1, 3], "5374": [3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4], "251": [3, 3, 3, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 2, 4, 3, 3, 2, 5, 3, 5, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 2, 4, 4, 4, 4, 5, 4, 3, 2, 4, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4], "3846": [5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 1, 2, 3, 4, 4, 5, 5, 4, 2, 5, 5, 3, 1, 3, 5, 4, 2, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5], "4349": [1, 1, 3, 1, 2, 3, 1, 2, 2, 4, 2, 1, 1, 1, 3, 1, 2, 3, 5, 2, 2, 3, 2, 1], "3901": [4, 4, 3, 4, 2, 4, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3], "3776": [4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 1, 4, 5, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 5, 2, 4, 4, 4, 4, 3, 3, 5, 5], "5840": [4, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 3, 3, 2, 3, 4, 2, 1, 5, 5, 5, 5, 3, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 1, 4, 3, 1, 2, 4, 5, 3, 3, 4, 3, 2, 4, 1, 4, 3, 2, 2, 4, 3, 4, 5, 5, 3, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 1, 4, 5, 4, 3, 2, 3, 4, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 5, 3, 4, 4, 3, 5, 3, 3, 4, 3, 4, 4, 3, 5, 2, 4, 3, 3, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 2, 3, 5, 3, 2, 3, 4, 2, 5, 5, 3, 2, 4, 3, 3, 5, 4, 4, 3, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 5, 5, 3, 4, 3, 3, 5, 5], "4752": [3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4]}