m.maheri
/
Melu_L2L
Watch 1
Star 1
Fork 0
Code Issues 0 Pull Requests 0 Releases 0 Wiki Activity
Melu project implemented by l2l and using MetaSGD instead of MAML
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
4 Commits
1 Branch
Tree: 0d298f3f31
Branches Tags
${ item.name }
Create branch ${ searchTerm }
from '0d298f3f31'
${ noResults }
Melu_L2L/movielens/ml-1m/user_cold_state_y.json

user_cold_state_y.json 491KB
Raw Blame History

1 
  1. {"4926": [4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4], "2831": [5, 4, 5, 5, 5, 5, 5, 4, 4, 2, 5, 1, 4, 4, 2, 4, 5, 4, 5, 5, 1, 5, 5, 5, 4, 5, 4, 4, 4, 3], "3589": [4, 4, 2, 2, 1, 5, 1, 4, 1, 4, 2, 2, 2, 4, 4, 1, 1, 5, 5, 4, 2, 2, 3, 2, 4, 5, 3, 1, 1, 1, 4, 4, 5, 2, 1, 2, 4, 1, 1, 1, 5, 4, 1, 4, 1, 3, 3, 1, 3, 4, 3, 1, 1, 2, 2, 1, 4, 1, 3, 5, 4, 1, 1, 4, 1, 1, 1, 4, 4, 2, 2, 3, 3, 4, 5, 1, 1, 2, 1, 1, 1, 2, 3, 5, 2, 2, 3, 2, 2, 2, 4, 1, 3, 4, 4, 4, 1, 2, 2, 3, 2, 4, 2, 2, 1, 4, 3, 1, 3, 1, 1, 1, 2, 1, 4, 5, 2, 5, 3, 3, 1, 3, 3, 1, 1, 1, 1, 2, 2, 1, 4, 1, 2, 2, 3, 5, 1, 4, 2, 1, 1, 1, 1, 3, 3, 4, 3, 4, 1, 1, 2, 1, 1, 2, 3, 5, 1, 1, 1, 4, 1, 3, 2, 2, 2, 4, 4, 1, 1, 1, 3, 1, 4, 2, 1, 4, 1, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 1, 4, 3, 3, 4, 2, 1, 4, 1, 4, 4, 2, 3, 1, 1, 1, 1, 4, 1, 1, 3, 2, 3, 1, 1, 1, 4, 1, 5, 2, 3, 1, 4, 4, 1, 1, 1, 4, 4, 4, 3, 1, 3, 3, 3, 3, 2, 1, 5, 1, 5, 1, 4, 4, 2, 2, 1, 1, 4, 1, 4, 1, 3, 3, 3, 5, 1, 3, 3, 2, 2, 1, 4, 1, 3, 2, 2, 3, 3, 4, 2, 5, 1, 3, 5, 3, 4, 1, 4, 3, 1, 3, 2, 4, 4, 1, 4, 3, 1, 4, 4, 3, 4, 3, 2, 3, 2, 3, 1, 3, 4, 1, 5, 2, 4, 4, 4, 1, 1, 2, 3, 1, 1, 4, 3, 1, 1, 3, 4, 1, 3, 4, 4, 4, 4, 3, 1, 3, 4, 3, 3, 4, 1, 1, 2, 1, 3, 1, 2, 2, 1, 4, 3, 1, 1, 3, 1, 5, 3, 1, 2, 3, 4, 5, 4, 5, 1, 3, 3, 1, 3, 4, 1, 4, 4, 1, 1, 5, 4, 4, 2, 2, 2, 2, 4, 3, 2, 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 2, 2, 1, 4, 1, 1, 1, 1, 4, 2, 2, 2, 2, 4, 5, 1, 2, 4, 3, 3, 5, 1, 1, 3, 1, 1, 2, 1, 1, 3, 4, 1, 4, 1, 2, 4, 4, 4, 1, 5, 3, 4, 4, 4, 3, 5, 1, 1, 4, 2, 4, 1, 4, 2, 1, 4, 1, 1, 3, 4, 2, 1, 4, 4, 1, 1, 1, 3, 2, 1, 1, 2, 2, 1, 3, 1, 4, 3, 1, 1, 5, 1, 2, 3, 3, 1, 4, 4, 5, 4, 3, 5, 2, 3, 1, 2, 3, 1, 2, 5, 5, 4, 3, 1, 4, 4, 4, 4, 4, 3, 3, 1, 1, 3, 1, 4, 1, 4, 1, 2, 4, 4, 1, 2, 3, 4, 4, 1, 3, 1, 5, 1, 3, 1, 2, 5, 1, 2, 1, 1, 2, 5, 1, 4, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 4, 5, 4, 1, 4, 4, 4, 4, 2, 3, 4, 2, 1, 4, 1, 1, 4, 1, 4, 4, 1, 2, 1, 1, 2, 4, 4, 2, 2, 3, 2, 1, 4, 1, 1, 5, 3, 1, 1, 2, 1, 2, 1, 1, 3, 5, 4, 4, 3, 1, 2, 2, 2, 2, 1, 1, 1, 4, 2, 1, 3, 1, 2, 1, 5, 4, 4, 3, 1, 1, 1, 1, 4, 1, 1, 5, 1, 4, 4], "3381": [3, 4, 3, 3, 5, 4, 3, 5], "469": [4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 5, 3, 5, 3, 5], "1013": [4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 3, 4, 1, 1, 4, 4, 4, 4, 5, 3, 3, 4, 1, 3, 3, 4, 3, 5, 3, 5, 3, 5, 5, 4, 4], "2345": [4, 2, 5, 3, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 3, 3, 3, 5, 5, 5], "2280": [4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4], "145": [1, 3, 2, 3, 4, 4, 3, 3, 3, 1, 2, 1, 2, 2], "1798": [3, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 3, 5, 2, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 1, 2, 5, 3, 5, 2, 3, 3, 5, 3, 2, 4, 5, 4, 3, 4, 3, 4, 2, 3, 5, 4, 3, 5, 4, 3, 3, 3, 5, 3], "2090": [5, 3, 5, 3, 5, 5, 4, 5, 5, 4, 2, 4, 5, 4, 4, 5, 3, 2, 4, 5, 4, 2, 5, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 4, 2, 3, 3, 3, 4, 1, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 3, 3, 3, 5, 3, 5, 5, 2, 5, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 3, 5, 4, 2, 4, 5, 3, 4, 3, 3, 4, 4, 5, 3, 3, 4, 3, 1, 5, 3, 4, 2, 4, 4, 1, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 2, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 5, 4, 2, 2, 4, 1, 3, 4, 2, 5, 4, 3, 4, 4, 4, 3, 3, 5, 3, 2, 4, 5, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 5, 5, 5, 4, 5, 2], "4390": [3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 1, 2, 3, 4, 2, 3, 2, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 3, 3, 4, 3, 2, 2, 4, 3, 4, 3, 1, 3, 3, 4, 4, 3, 3, 4, 3, 2, 2, 1, 3, 3, 3, 3, 3, 4, 2, 3, 3, 2, 5, 3, 3, 4, 3, 3, 3, 2, 3, 2, 3, 4, 3, 5, 1, 4, 3, 3, 2, 3, 2, 3, 3, 3, 5, 5, 4, 2, 3, 4, 2, 2, 5, 4, 2, 3, 4, 1, 2, 4, 3, 4, 4, 3, 4, 2, 3, 2, 4, 4, 3, 3, 1, 3, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5, 2, 3, 5, 4, 3, 3, 3, 2, 3, 4, 3, 2, 3, 4, 3, 4, 2, 1, 3, 4, 3, 1, 3, 2, 4, 3, 5, 2, 3, 3, 3, 4, 4, 3, 4, 2, 3, 5, 3, 2, 3, 4, 3, 4, 3, 2, 3, 1, 3, 4, 3, 2, 3, 2, 4, 3, 3], "802": [4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 5, 5, 4, 4, 4, 3, 4, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 5, 2, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4], "5145": [3, 2, 5], "271": [5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 1, 4, 3, 4, 4, 3, 3, 2, 3, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 2, 5, 5, 4, 4, 2, 4, 5, 5, 3, 4, 5, 5, 5, 3, 4, 3, 2, 1, 3, 5, 3, 5, 3, 5, 3, 5, 3, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 2, 5, 4, 4, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 3, 3, 3, 5, 2, 4, 2, 5, 4, 3, 3, 4, 4, 2, 2, 4, 4, 3, 5, 5, 2, 1, 4, 3, 5, 4, 5, 4, 2, 3, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 2, 4, 4, 4, 5, 2, 2, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 5, 2, 4, 5, 3, 3, 5, 4, 4, 3, 5, 5, 5, 3, 5, 3, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 5, 5, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5], "703": [4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 2, 4, 5, 3, 4, 3, 5], "3080": [4, 4, 4, 5, 2, 5, 5, 4, 5, 5, 3, 3, 1, 3, 4, 2, 4, 2, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 5, 2, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 1, 3, 3, 3, 5, 1, 5, 5, 5, 1, 5, 5, 5, 5, 5, 1, 5, 4, 3, 4, 3, 3, 3, 5, 3, 5, 5, 2, 3, 2, 3, 1, 4, 3, 2, 4, 5, 5, 4, 3, 5, 5, 2, 5, 5, 3, 3, 1, 4, 3, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 2, 4, 3, 4, 3, 4, 2, 2, 4, 2, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 2, 3, 5, 1, 5, 5, 5, 5, 5, 2, 2, 4, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 4, 2, 4, 5, 5, 1, 5, 5, 1, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 1, 4, 3, 3, 4, 5, 5, 3, 5, 5, 2, 5, 3, 5, 3, 5, 5, 5, 3, 5, 4, 5, 2, 4, 5, 2, 4, 4, 5, 3, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 3, 2, 4, 5, 4, 5, 3, 1, 3, 5, 2, 4, 5, 5, 3, 3, 3, 3, 5, 1, 4, 5, 3, 2, 5, 3, 3, 4, 3, 4, 5, 4, 5, 4, 2, 5, 5, 5, 5, 3, 3, 4, 5, 3, 2, 4, 4, 4, 5, 2, 5, 2, 3, 5, 5, 3, 4, 4, 4, 3, 5, 2, 4, 4, 5, 4, 3, 5, 2, 5, 4, 4, 3, 2, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 4, 5, 4, 5, 5, 3, 4, 3, 5, 2, 3, 3, 2, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 3, 2, 5, 1, 3, 5, 5, 4, 5, 1, 4, 4, 3, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 5, 3, 5, 2, 3, 5, 4, 5, 4, 5, 5, 1, 5, 3, 4, 5, 2, 5, 3, 4, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 3, 4, 3, 4, 4, 3, 2, 3, 2, 2, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 4, 1, 5, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 2, 5, 3, 5, 5, 5, 5, 4, 3, 5, 3], "5582": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 1, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], "4747": [4, 5, 2, 4, 5, 4, 5, 2, 2, 3, 3, 4, 2, 2, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 5, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 3, 3, 4, 3, 2, 4, 5, 2, 2, 3, 4, 2, 5, 4, 3, 5, 2, 4, 4, 2, 5, 2, 4, 2, 4, 4, 4, 5, 4, 2, 4, 5, 3, 4, 4, 4, 2, 3, 5, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 4, 3, 1, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 3, 3, 5, 4, 3, 4, 3, 2, 3, 3, 4, 4, 5, 3, 4, 3, 4, 5, 2, 3, 3, 3, 4, 5, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 5, 5, 5, 2, 5, 4, 5, 4, 4, 2, 4, 5, 4, 5, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 5, 3, 2, 3, 3, 5, 2, 3, 2, 4, 4, 2, 4, 5, 5, 3, 3, 3, 2, 2, 4, 3], "1965": [4, 5, 5, 5, 5, 1, 3, 3, 3, 4, 3, 3, 4, 4, 2, 3, 3, 4, 5, 4, 3, 2, 3, 3, 4, 5, 2, 4, 4, 3, 4, 5, 5, 3], "4525": [3, 5, 5, 3, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5], "4744": [5, 5, 1, 4, 3, 5, 5, 5, 5, 4, 5, 2, 3, 5, 5, 5, 5, 5, 5, 3, 4, 3, 5, 3, 5, 5, 3, 4, 3, 4, 5, 5, 4, 2, 2, 3, 5, 5, 5, 5, 5, 4, 4, 3, 2, 3, 5, 3, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4], "5073": [4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5], "4931": [5, 3, 5, 5, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 3, 3, 3, 4, 2, 3, 4, 3, 5, 5, 3, 5, 4, 4, 3, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 3, 3, 4, 5, 4, 5, 3, 3, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 3], "2113": [4, 2, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 3, 5, 1, 4, 5, 4, 5, 4, 5, 4, 3, 5, 4, 1, 5, 4, 5, 4, 3, 3, 4, 1, 4, 4, 4, 3, 1, 4, 4], "5668": [5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 2, 3, 4, 5, 4, 5, 1, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 4, 1, 5, 5, 4, 5, 4, 4, 5, 5, 3, 2, 5, 5, 5, 5, 4, 5, 4, 1, 3, 3, 5, 5, 2, 5, 4, 1, 5, 1, 5, 5, 5, 3, 1, 4, 5, 5, 3, 2, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4], "5373": [4, 5, 2, 3, 5, 3, 5, 4, 5, 5, 4, 3, 3, 5, 1, 3, 4, 5, 4, 5], "3126": [5, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 3, 3, 2, 5, 4, 4, 3, 5, 4, 3, 3, 4, 3, 3, 4, 5, 5, 3, 4, 5, 3, 4, 5, 3, 4, 2, 5, 3, 3, 3, 4, 3], "4354": [1, 1, 2, 1, 5, 1, 5, 5, 2, 1, 5, 5, 3, 5, 2, 5, 4, 4, 5, 5, 5, 2, 5, 5, 2, 5, 3, 5, 5, 5, 5, 1, 3, 4, 5, 3, 4, 1, 3, 5, 5, 1, 5, 1, 5, 5, 1, 5, 3, 4, 4, 5, 5, 2, 5, 1, 5, 5, 5, 5, 4, 3, 5, 1, 1, 5, 4, 4, 5, 1, 1, 1, 5, 4, 3, 5, 5, 1, 4, 5, 1, 1, 2, 5, 3, 2, 4, 4, 4, 2, 1, 3, 5, 4, 5, 2, 3, 5, 5, 5, 3, 4, 4, 5, 4, 4, 2, 5, 5, 1, 5, 5, 5, 3, 3, 5, 1, 5, 4, 2, 1, 3, 1, 3, 5, 1, 5, 1, 2, 5, 5, 4, 4, 5, 4, 5, 1, 3, 3, 3, 3, 3, 5, 4, 3, 5, 4, 5, 5, 1, 5, 3, 4, 4, 2, 4, 3, 4, 5, 4, 2, 5, 3, 4, 1, 5, 5, 4, 4, 5, 5, 4, 1, 2, 2, 4, 4, 5, 5, 1, 5, 4, 1, 4, 3, 3, 3, 4, 4, 5, 3, 5, 5, 4, 5, 3, 5, 2, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 4, 3, 5, 5, 2, 3, 1, 5, 4, 5, 4, 4, 3, 3, 5, 3, 5, 3, 5, 5, 2, 3, 5, 5, 1, 5, 1, 3, 5, 1, 5, 5, 5, 4, 4, 5, 1, 5, 5, 4, 4, 4, 5, 1, 5, 2, 1, 1, 5, 1, 4, 4, 3, 4, 5, 3, 4, 4, 4, 5, 3, 1, 5, 5, 5, 5, 5, 5, 1, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 4, 2, 4, 4, 4, 1, 5, 2, 3, 2, 1, 5, 1, 5, 1, 4, 5, 1, 4, 5, 1, 5, 5, 3, 3, 2, 4, 5, 1, 4, 3, 3, 3, 3, 5, 3, 4, 4, 3, 5, 2, 4, 1, 1, 4, 1, 1, 1, 3, 2, 5, 1, 3, 3, 1, 4, 5, 5, 5, 5, 5, 1, 4, 1, 4, 5, 4, 5, 4, 4, 5, 3, 3, 4, 1, 1, 4, 2, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 4, 3, 5, 5, 1, 4, 2, 5, 5, 4, 1, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 1, 1, 4, 5, 4, 5, 5, 2, 2, 1, 3, 3, 2, 4, 4, 5, 4, 3, 4, 3, 4, 5, 1, 5, 5, 5, 4, 5, 4, 1, 2, 5, 5, 5, 5, 4, 4, 3, 5, 5, 3, 2, 1, 5, 1, 1, 4, 2, 1, 4, 3, 1, 1, 5, 1, 1, 4, 5, 4, 5, 2, 5, 5, 5, 3, 4, 2, 3, 3, 2, 2, 1, 4, 1, 3, 5, 5, 2, 5, 1, 5, 4, 5, 5, 4, 4, 1, 4, 3, 4, 5, 4, 1, 4, 5, 5, 3, 5, 3, 4, 4, 4, 1, 1, 5, 5, 5, 5, 5, 5, 1, 3, 3, 4, 4, 5, 3, 4, 5, 4, 3, 1, 1, 2, 3, 4, 2, 5, 1, 1, 2, 1, 3], "4155": [4, 4, 3, 5, 4, 5, 5, 3, 4, 3, 4, 3, 5, 3, 3, 2, 4, 3, 5, 5, 5, 1, 4, 4, 2, 3, 4, 4, 4, 4, 2, 4, 4, 2, 4, 3, 2, 5, 3, 5, 3, 5, 2, 5, 4, 5, 1, 5, 2, 5, 1, 4, 4, 4, 3], "2015": [5, 4, 2, 1, 2, 4, 3, 2, 3, 3, 5, 3, 1, 3, 4, 3, 2, 2, 2, 2, 4, 5, 1, 2, 1, 2, 2, 2, 2, 3, 4, 3, 5, 2, 4, 4, 3, 3, 5, 2, 4, 4, 5, 3, 2, 2, 2, 2, 4, 5, 5, 5, 4, 2, 4, 5, 4, 3, 5, 4, 2, 2, 4, 3, 1, 5, 2, 4, 5, 3, 1, 4, 5, 2, 5, 4, 4, 5, 3, 3, 1, 5, 3, 2, 5, 4, 5, 3, 4, 4, 3, 4, 4, 2, 4, 3, 2, 3, 5, 5, 4, 5, 3, 4, 2, 5, 4, 3, 1, 1, 5, 4, 3, 3, 5, 3, 2, 3, 4, 3, 2, 4, 3, 1, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 2, 4, 2, 3, 3, 1, 4, 2, 2, 5, 2, 5, 4, 3, 3, 4, 3, 4, 2, 2, 3, 1, 2, 4, 1, 4, 1, 3, 1, 1, 2, 5, 4, 4, 3, 2, 1, 2, 4, 1, 2, 5, 5, 2, 2, 3, 1, 4, 4, 3, 1, 4, 1, 4, 3, 2, 5, 3, 3, 3, 2, 4, 1, 1, 4, 5, 5, 2, 3, 3, 4, 3, 5, 4, 3, 4, 5, 2, 4, 1, 4, 4, 3, 4, 2, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 3, 3, 4, 4, 3, 2, 5, 4, 2, 3, 4, 5, 5, 1, 3, 4, 4, 3, 5, 4, 5, 3, 3, 5, 3, 3, 4, 3, 4, 1, 2, 5, 4, 5, 5, 5, 3, 1, 3, 4, 2, 4, 3, 4, 3, 4, 5, 2, 3, 3, 5, 5, 1, 1, 5, 4, 4, 4, 3, 3, 3, 3, 5, 3, 3, 2, 2, 3, 3, 4, 2, 1, 4, 3, 5, 1, 5, 5, 5, 4, 5, 1, 4, 1, 5, 4, 3, 3, 4, 4, 4, 1, 3, 4, 2, 1, 4, 2, 5, 4, 4, 1, 1, 1, 3, 4, 5, 3, 5, 4, 5, 2, 1, 4, 3, 3, 4, 1, 5, 5, 5, 2, 3, 2, 2, 3, 4, 5, 4, 1, 3, 4, 4, 1, 3, 2, 4, 5, 4, 2, 5, 5, 2, 5, 4, 2, 3, 2, 4, 2, 3, 2, 2, 4, 1, 5, 1, 3, 4, 4, 5, 3, 3, 3, 1, 4, 5, 4, 2, 4, 4, 4, 2, 1, 4, 1, 1, 1, 3, 2, 1, 1, 2, 2, 3, 4, 5, 5, 4, 4, 5, 1, 5, 5, 2, 3, 4, 4, 3, 1, 4, 1, 5, 2, 3, 5, 1, 3, 4, 3, 3, 5, 5, 2, 4, 4, 3, 2, 2, 1, 4, 1, 2, 3, 4, 1, 1, 2, 2, 2, 4, 1, 4, 4, 4, 4, 3, 1, 3, 2, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 2, 4, 2, 3, 3, 3, 4, 3, 4, 2, 5, 1, 1, 2, 4, 3, 4, 1, 1, 5, 2, 3, 2, 5, 2, 5, 5, 1, 4, 3, 5, 2, 4, 5, 3, 2, 4, 3, 3, 4, 3, 1, 4, 5, 4, 3, 3, 3, 5, 4, 4, 5, 2, 4, 4, 4, 5, 2, 5, 5, 5, 5, 3, 2, 5, 2, 3, 1, 4, 4, 1, 5, 5, 5, 3, 4, 3, 1, 1, 3, 2, 2, 1, 2, 5, 3, 3, 2, 2, 5, 4, 2, 2, 3, 5, 5, 2, 4, 2, 2, 3, 4, 2, 5, 4, 4, 3, 2, 2, 4, 4, 2, 2, 2, 4, 1, 2, 4, 5, 3, 5, 2, 2, 4, 3, 2, 5, 1, 3, 1, 4, 2, 4, 3, 2, 2, 2, 5, 4, 4, 3, 3, 2, 2, 4, 1, 3, 2, 2, 4, 5, 2, 2, 4, 5, 3, 3, 3, 3, 3, 5, 2, 2, 3, 2, 2, 3, 2, 3, 1, 2, 4, 4, 2, 5, 3, 3, 5, 4, 3, 4, 1, 5, 1, 5, 5, 2, 1, 2, 3, 3, 4, 4, 2, 2, 4, 5, 3, 2, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 1, 4, 3, 1, 4, 4, 4, 4, 2, 5, 5, 2, 4, 1, 2, 4, 5, 4, 4, 4, 1, 4, 5, 5, 2, 4, 4, 5, 4, 1, 4, 2, 4, 1, 2, 1, 4, 2, 2, 1, 2, 1, 2, 5, 2, 3, 3, 3, 1, 2, 5, 2, 2, 4, 4, 3, 2, 4], "4599": [4, 4, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5, 4, 5, 5, 2, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4], "1253": [4, 5, 3, 3, 5, 2, 5, 5, 5, 4, 3, 3, 4, 3, 3, 1, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 2, 5, 3, 3, 4, 4, 2, 2, 2, 5, 4, 4, 3, 5, 4, 4, 1, 5, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5], "1815": [2, 4, 4, 2, 4, 4, 3, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 1, 5, 4], "2561": [4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 1, 3, 3, 4, 4, 3, 5, 4, 3, 2, 3, 4, 3, 3, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3, 5], "5809": [4, 1, 3, 3, 2, 5, 4, 3, 3, 4, 3, 4, 1, 4, 3, 3, 4, 5, 4, 4, 4, 3, 5, 5, 3, 5, 5, 4, 3, 5, 3, 3, 5, 5, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 4, 2, 4, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 1, 4, 5, 4, 4, 5, 5, 2, 3, 3, 3, 3, 4, 3, 3, 5, 5, 3, 5, 5, 4, 2, 4, 4, 3, 4, 5, 5, 4, 4, 3, 5, 2, 5, 2, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 5, 3, 5, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 2, 2, 4, 3, 5, 4, 3, 4, 2, 3, 5, 3, 1, 2, 2, 4, 4, 5, 4, 5, 4, 1, 4, 4, 3, 4, 4, 4, 5, 2, 5, 3, 4, 3, 2, 3, 4, 3, 4, 2, 3, 4, 5, 4, 3, 3, 5, 5, 3, 5, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 5, 3, 1, 3, 4, 3, 4, 4, 5, 4, 4, 4, 1, 5, 5, 3, 4], "1414": [5, 4, 4, 3, 3, 4, 2, 4, 5, 4, 4, 4, 2, 2, 5, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 5, 5, 3, 3, 4, 5, 4, 4, 4, 3, 5, 5, 3, 3, 5, 4, 4, 5, 4, 5, 3, 5, 5, 1, 4, 5, 3, 5, 2, 3, 5, 3], "3290": [2, 2, 1, 3, 4, 1, 3, 3, 4, 4, 3, 4, 3, 5, 2, 4, 3, 5, 2, 2, 3, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 3, 4, 1, 5, 3, 4, 2, 2, 5, 4, 3, 1, 1, 2, 2, 2, 3, 2, 1, 4, 1, 1, 1, 1, 1, 2, 3, 4, 1, 5, 1, 2, 3, 4, 5, 5, 2, 5, 4, 3, 2, 2, 3, 1, 5, 5, 5], "2654": [3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 1, 5, 2, 3, 3, 3, 4, 4, 2, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 3, 4, 1, 4, 3, 5, 5, 4, 2, 3, 5, 5, 4, 5, 4], "5477": [4, 3, 4, 4, 2, 4, 3, 4, 4, 3, 2, 3, 4, 4, 3, 5, 5, 4, 4, 5, 3, 3, 3], "4826": [4, 5, 4, 1, 4, 3, 5, 4, 3, 5, 4, 5, 4, 3, 5, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 2, 4, 3, 5, 4, 4, 5, 2, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 3, 5, 5, 3, 3, 3, 4, 4], "765": [4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 5, 5, 5, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 1, 3, 2, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 5, 5, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 2, 2, 1, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 2, 4, 4, 3, 2, 4, 2, 3, 3, 4, 3, 2, 5, 3, 4, 3, 2, 5, 3, 3, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 5, 5, 2, 5, 3, 3, 2, 5, 3, 4, 5, 4, 2, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 5, 2, 4, 4, 4, 1, 3, 5, 2, 3, 4, 3, 5, 5, 5, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 1, 4, 3, 5, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 5, 3, 2, 4, 4, 3, 4, 4, 3, 2, 2, 2, 4, 4, 3, 2, 3, 5, 4, 5, 4, 4, 3, 2, 4, 4, 5, 5, 4, 3, 4, 4, 2, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 4, 1, 3, 4, 3, 4, 5, 2, 5, 4, 5, 3, 4, 4, 5, 3, 5, 3, 5, 3, 4, 5, 5, 5, 4, 4, 2, 4, 3, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 2, 4, 3, 4, 3, 2, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 2, 3, 4, 4], "1134": [4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 2, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 4, 2, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 5, 5, 4, 2, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 2, 4, 4, 3, 4, 5, 5, 5], "36": [5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 4, 5, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 1, 2, 3, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 5, 2, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 3, 3, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4], "5505": [4, 5, 5, 5, 1, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 3, 3, 5, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 2, 5, 1, 5, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 2, 4, 4, 4, 4, 5, 3, 1, 3, 4, 4, 5, 5, 5, 5, 5, 3, 4, 5, 5], "2556": [2, 5, 3, 2, 2, 2, 4, 5, 4, 4, 4, 2, 4, 4, 5, 2, 1, 5, 4, 4, 3, 5, 4, 4, 3, 3, 5, 2, 5, 4, 2, 3, 4, 4, 4], "3629": [4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 2, 5, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 3, 2, 4, 3, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4], "3624": [5, 5, 3, 4, 4, 3, 4, 4, 5, 4, 4, 1, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 2, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 4, 3, 5, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 5, 5, 3, 3, 3, 3, 4, 2, 4, 2, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 2, 4, 3, 4, 5, 3, 5, 3, 3, 4, 3, 5, 4, 3, 4, 4, 5, 3, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3], "4231": [5, 4, 5, 3, 5, 3, 2, 4, 3, 1, 3, 2, 3, 3, 5, 3, 4, 5, 4, 3, 1, 4, 4, 2, 4, 4, 5, 2, 2, 5, 5, 4, 3, 2, 4, 3, 5, 5, 3, 4, 2], "3586": [4, 5, 2, 4, 4, 2, 2, 2, 5, 3, 4, 2, 4, 3, 1, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 1, 1, 5, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 4, 5, 4, 4, 4, 2, 4, 5, 2, 1, 5, 3, 1, 2, 5, 4, 4, 1, 4, 4, 2, 2, 3, 4, 4, 1, 5, 3, 1, 1, 4, 4, 5, 1, 2, 3, 3, 1, 4, 5, 1, 4, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 2, 5, 5, 4, 1, 5, 3, 5, 4, 5, 4, 1, 5, 4, 4, 3, 3, 2, 2, 5, 3, 1, 1, 5, 4, 5, 5, 3, 2, 2, 4, 3, 1, 4, 4, 2, 5, 5, 1, 5, 5, 4], "3928": [4, 3, 4, 2, 3, 3, 3, 3, 3, 1, 3, 2, 2, 4, 3, 3, 3, 4, 4, 4], "4426": [2, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 2, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3], "1909": [3, 3, 3, 3, 3, 5, 4, 1, 5, 4, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 4, 4, 3, 4, 1, 3, 2, 1, 2, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 2, 4, 5, 2, 3], "4957": [2, 2, 3, 3, 3, 2, 3, 4, 3, 4, 2, 2, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 2, 5, 3, 4, 4, 2, 2, 3, 4, 2, 2, 2, 5, 3, 3, 5, 4, 4, 5, 3, 5, 5, 3, 5, 3, 5, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 1, 2, 3, 3, 2, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 4, 3, 4, 3, 2, 3, 5, 2, 3, 4, 2, 3, 5, 3, 4, 4, 5, 2, 3, 3, 5, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 4, 4, 3, 4, 3, 2, 2, 3, 3, 4, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 4, 5, 2, 2, 3, 2, 3, 3, 5, 4, 5, 5, 4, 5, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 4, 2, 2, 3, 3, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 5, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 5, 1, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 4, 2, 4, 5, 4, 3, 3, 5, 4, 2, 4, 2, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 2, 4, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 2, 5, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 5, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 5, 3, 3, 2, 3, 3, 3, 4, 3, 4, 4, 2, 4, 3, 3, 3, 5, 4, 2, 3, 3, 5, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 2, 4, 3, 2, 4, 4, 3, 3, 4, 3, 2, 4, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 1, 3, 3, 5, 5, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 3, 2, 3, 3, 4, 4, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5, 3, 2, 4, 3, 3, 3, 3, 4, 4, 2, 4, 2, 3, 2, 5, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 2, 3, 3, 5, 2, 3, 3, 2, 3, 3, 3, 5, 4, 4, 2, 3, 3], "3662": [5, 1, 5, 1, 3, 5, 1, 3, 1, 5, 1, 5, 3, 1, 3, 1, 4, 4, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 1, 1, 5, 5, 5, 4, 1, 1, 3, 4, 4, 1, 4, 3, 3, 1, 4, 1, 4, 4, 3, 5, 5, 1, 4, 4, 3, 3, 4, 1, 5, 1, 1, 1, 3, 4, 1, 3, 3, 4, 4, 1, 5, 1, 4, 1], "101": [5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 3, 5, 5, 5, 5, 5], "3827": [4, 4, 1, 5, 4, 4, 3, 5, 5, 1, 4, 3, 3, 4, 5, 5, 3, 2, 3, 5, 2, 5, 4, 3, 4, 5, 5, 2, 1, 5, 5, 5, 2, 5, 1, 3, 4, 2, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 2, 5, 5, 5, 2, 4, 4, 2, 4, 1, 3, 5, 5, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 2, 4, 3, 4, 2, 3, 5, 5, 2, 3, 5, 1, 3, 1, 3, 4, 5, 4, 4, 4, 4, 3, 4, 2, 4, 5, 2, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 3, 5, 3, 3, 3, 5, 4, 5, 4, 5, 3, 5, 4, 1, 4, 5, 4, 4, 5, 5, 4, 3, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 2, 5, 4, 2, 4, 5, 1, 5, 5, 3, 2], "5738": [3, 3, 5, 2, 4, 4, 1, 3, 4, 2, 4, 4, 1, 4, 3, 4, 2, 5, 4, 2, 4, 4, 3, 5, 4, 3, 5, 2, 4, 3, 3, 4, 3, 2, 4, 2, 1, 4, 5, 3, 2, 5, 2, 4, 4, 2, 3, 2, 4, 5, 3, 3, 1, 4, 2, 2, 4, 5, 3, 1, 1, 4, 4, 1, 4, 4, 4, 4, 1, 3, 2, 5, 2, 3, 5, 3, 2, 1, 1, 3, 4, 4, 1, 4, 5, 3, 3, 5, 2, 3, 4, 3, 4, 5, 2, 3, 5, 4, 4, 1, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 1, 3, 3, 4, 3, 4, 1, 3, 1, 2, 1, 5, 3, 4, 2, 2, 4, 2, 4, 4, 2, 4, 1, 3, 4, 2, 2, 2, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 1, 5, 4, 5, 5, 4, 4, 5, 1, 2, 2, 3, 5, 3, 5, 3, 1, 3, 3, 5, 2, 4, 3, 4, 4, 2, 1, 4, 4, 1, 3, 2, 4, 4, 1, 1, 3, 2, 1, 1, 4, 4, 2, 1, 3, 3, 2, 3, 3, 1, 4, 3, 5, 5, 5, 3, 5, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 5, 1, 4, 3, 5, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 1, 4, 4, 3, 2, 4, 4, 4, 5, 4, 2, 3, 3, 1, 2, 4, 4, 4, 2, 4, 3, 3, 4, 2, 3, 4, 5, 4, 4, 4, 2, 3, 4, 4, 2, 1, 3, 2, 1, 4, 3, 3, 4, 4, 4, 3, 2, 4, 1, 4, 3, 4, 4, 2, 2, 4, 1, 4, 1, 3, 3, 4, 4, 3, 3, 5, 1, 1, 4, 4, 3, 3, 4, 4, 1, 4, 4, 3, 4, 4, 4, 3, 4, 3, 1, 5, 1, 4, 3, 4, 1, 4, 4, 2, 3, 3, 3, 5, 2, 2, 4, 1, 5, 3, 4, 3, 3, 3, 2, 3, 3, 2, 4, 5, 2, 1, 3, 1, 1, 1, 3, 2, 4, 4, 3, 4, 4, 5, 4, 2, 3, 5, 1, 3, 4, 3, 3, 4, 3, 1, 3, 1, 4, 4, 2, 3, 3, 1, 2, 4, 4, 2, 2, 4, 3, 4, 3, 3, 4, 2, 1, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 1, 4, 4, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 1, 5, 5, 3, 5, 4, 4, 3, 3, 2], "678": [5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 3, 4, 3, 3, 4, 3, 3, 4, 5, 4, 5, 3, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 4, 5, 5, 2, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 5, 3, 3, 4, 2, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 2, 2, 4, 4, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 5, 3, 3, 4, 3, 4, 5, 3, 3, 2, 3, 4, 5, 5, 4, 4, 3, 4, 3, 2, 4, 2, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 2, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 2, 4, 5, 3, 4, 3, 3, 4, 2, 3, 4, 4, 2, 3, 3, 3, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 2, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 2, 3, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 2, 3, 4, 3, 4, 2, 4, 3, 5, 2, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 1, 4, 4, 4, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 3, 3, 4, 3, 5, 4, 2, 4, 4, 2, 4, 3, 4, 2, 4, 4, 3, 3, 2, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 2, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 4, 2, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 2, 5, 4, 4, 3, 2, 4, 2, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 3, 2, 2, 4, 3, 5, 3, 2, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5, 4, 2, 4, 3, 5, 3, 4, 4, 4, 5, 4], "3348": [4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 4], "1120": [5, 3, 2, 3, 3, 4, 4, 3, 4, 5, 5, 5, 4, 5, 2, 5, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 2, 3, 4, 4, 3, 5, 4, 2, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 5, 4, 3, 5, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 2, 4, 4, 2, 5, 1, 4, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 2, 1, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 4, 5, 3, 5, 4, 5, 3, 4, 2, 3, 4, 1, 4, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 5, 4, 4, 2, 2, 5, 5, 1, 5, 4, 2, 1, 5, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 5, 5, 2, 3, 5, 3, 5, 4, 5, 4, 3, 4, 4, 3, 3, 2, 5, 5, 4, 3, 3, 3, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 2, 4, 5, 4, 4, 2, 4, 5, 4, 4, 3, 4, 5, 4, 3, 2, 5, 4, 1, 4, 4, 2, 3, 5, 4, 4, 5, 5, 4, 4, 5, 4, 2, 3, 3, 2, 2, 4, 3, 3, 5, 3, 2, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 3, 4, 5, 2, 3, 3, 4, 4, 4, 5, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 3, 1, 4, 5, 4, 4, 4, 4, 5, 4, 4, 2, 3, 4, 1, 1, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 5, 2, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 5, 1, 4, 4, 3, 4, 4, 4, 4, 2, 3, 4, 1, 2, 4, 3, 3, 3, 5, 4, 5, 3, 5, 3, 4, 4, 5, 1, 5, 5, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 2, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 5, 5, 2, 4, 4, 2, 5, 4, 5, 4, 4, 3, 5, 4, 1, 5, 3, 5, 4, 3, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 3, 5, 2, 2, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 1, 1, 5, 4, 4, 4, 4, 3, 3, 4, 2, 5, 3, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 2, 3, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 5, 4, 4, 5, 3, 4, 2, 4, 5, 4, 5], "3135": [3, 4, 5, 5, 2, 5, 4, 2, 3, 4, 4, 5, 5, 3, 2, 5, 4, 4, 4, 5, 3, 5, 3, 1, 3, 5, 5, 4, 5, 2, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 3, 5, 2, 3, 4, 4, 5, 5, 5, 4, 5, 2, 5, 3, 4, 3, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 3, 4, 4, 5, 4, 5, 3, 3, 3, 2, 2, 5, 4, 2, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5], "5692": [3, 5, 4, 3, 5, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 5, 5, 2, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5], "3175": [4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 4], "5711": [4, 5, 4, 5, 4, 3, 1, 1, 4, 4, 3, 4, 4, 1, 4, 5, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 1, 4, 4, 4], "1066": [4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 2, 5, 4, 3, 4, 4, 2, 1, 3, 2, 2, 4, 2, 4, 4, 4, 5, 4, 5, 2, 2, 4, 3, 4, 3, 4, 2, 3, 4, 2, 3, 3, 4, 4, 2, 4, 4, 2, 1, 4, 4, 4, 3, 4, 5, 3, 3, 5, 4, 3, 2, 5, 2, 4, 5, 5, 5, 2, 4, 5, 4, 3, 4, 4, 2, 3, 5, 4, 2, 3, 4, 4, 4, 5, 2, 2, 2, 4], "624": [3, 3, 5, 3, 4, 1, 3, 3, 4, 4, 3, 3, 4, 5, 3, 3, 5, 1, 5, 4, 5, 4, 1, 3, 4, 5, 4, 2, 4, 5, 2, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 2, 4, 3, 5, 4, 3, 3, 5, 3, 2, 3, 2, 4, 2, 5, 3, 5, 4, 3, 4, 5, 3, 5, 3, 5, 3, 5, 5, 3, 5, 4, 5, 4, 3, 4, 3, 4, 4, 2, 2, 3, 3, 4, 4, 4, 2, 5, 2, 4, 2, 4, 4, 2, 2, 2, 2, 5, 4, 4, 5, 5, 2, 5, 3, 3, 5, 5, 4, 5, 3, 3, 4, 3, 2, 4, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 4, 2, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 5, 2, 3, 5, 2, 4, 3, 4, 5, 5, 2, 3, 2, 4, 4, 5, 5, 2, 4, 4, 4, 2, 3, 4, 1, 2, 4, 5, 5, 4, 4, 2, 5, 4, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 4, 5, 4, 3, 5, 3, 5, 2, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 2, 4, 5, 4, 4, 4, 5, 4, 2, 5, 4, 5, 2, 3, 4, 2, 4, 5, 3, 4, 4, 1, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 4, 3, 5, 4, 3, 3, 4, 5, 4, 5, 3, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 4, 3, 5, 5, 5, 2, 5, 3, 3, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 2, 4, 5, 3, 4, 4, 4, 4, 3, 4], "4643": [3, 4, 5, 3, 3, 2, 5, 4, 2, 4, 2, 3, 5, 3, 3, 3, 4, 2, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 2, 4, 1, 3, 3, 4, 3, 2, 2, 2, 3, 3, 2, 4, 5, 5, 4, 4, 3, 3, 5, 3, 3, 2, 4, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 1, 3, 3, 4, 2, 5, 3, 5, 5, 1, 3, 4, 4, 5, 2, 4, 1, 3, 3, 4, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 2, 3, 2, 3, 3, 1, 3, 4, 2, 2, 2, 4, 4, 3, 3, 2, 2, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3], "3143": [4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 5, 4, 4, 5, 4, 2, 3, 3, 4, 4, 2, 4, 2, 5, 1, 4, 2, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 2, 5, 4, 4, 3, 5, 3, 3, 4, 4, 3, 3, 2, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 4, 4], "6022": [5, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5, 4, 2, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 1, 2, 2, 4, 3, 4, 3, 3, 5, 3, 3, 1, 5, 2, 3, 3, 4, 5, 4], "3345": [3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 2, 3, 2, 3, 3, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 1, 3, 3, 3, 5, 3, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4], "4435": [4, 4, 5, 5, 5, 5, 3, 5, 3, 1, 4, 5, 5, 4, 3, 4], "1366": [4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 4, 3, 2, 4, 5, 4, 3, 5, 3, 4, 4, 5, 5, 5, 4, 4, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 1, 3, 3, 5, 4, 5, 5, 4, 5], "2106": [1, 2, 1, 1, 4, 2, 1, 1, 1, 2, 1, 3, 2, 3, 2, 1, 3, 2, 2, 5, 3, 1, 1, 2, 2, 1, 3, 1, 3, 1, 2, 1, 3, 4, 2, 4, 2, 3, 4, 3, 4, 1, 4, 2, 4, 1, 2, 1, 2, 1, 3, 3, 2, 3, 1, 5, 2, 2, 2, 1, 3, 2, 1, 3, 4, 1, 4, 1, 4, 2, 2, 4, 1, 2, 1, 4, 2, 1, 4, 1, 3, 2, 5, 4, 4, 1, 4, 3, 5, 2, 3, 3, 1, 1, 4, 3, 5, 3, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 4, 3, 2, 1, 1, 2, 4, 3, 1, 3, 4, 2, 1, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 3, 2, 5, 2, 5, 4, 4, 2, 1, 3, 2, 4, 1, 1, 4, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 1, 5, 1, 1, 3, 4, 3, 2, 3, 3, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 4, 4, 1, 2, 1, 1, 2, 2, 2, 3, 3, 1, 4, 1, 3, 4, 2, 1, 1, 1, 1, 5, 2, 1, 4, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 3, 2, 4, 2, 2, 3, 4, 4, 3, 1, 4, 2, 1, 3, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 4, 2, 5, 1, 4, 3, 1, 4, 1, 1, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 1, 4, 1, 2, 2, 1, 4, 3, 1, 1, 1, 1, 3, 2, 3, 1, 3, 5, 2, 1, 3, 1, 2, 3, 1, 2, 4, 2, 3, 2, 2, 3, 3, 1, 1, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 3, 2, 2, 3, 2, 2, 3, 2, 5, 4, 2, 3, 2, 1, 4, 3, 1, 3, 4, 2, 2, 4, 1, 3, 1, 3, 3, 3, 4, 2, 2, 4, 2, 1, 2, 1, 2, 4, 1, 1, 3, 1, 2, 4, 1, 3, 3, 1, 3, 1, 1, 1, 2, 2, 3, 4, 1, 3, 2, 2, 1, 4, 2, 3, 1, 2, 3, 1, 1, 2, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, 3, 3, 1, 2, 3, 1, 5, 1, 2, 4, 3, 5, 3, 3, 2, 1, 3, 2, 1, 2, 1, 4, 2, 1, 4, 1, 1, 1, 1, 4, 3, 2, 2, 3, 5, 2, 4, 4, 1, 2, 1, 1, 4, 3, 3, 1, 1, 1, 1, 2, 1, 4, 4, 2, 3, 2, 5, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 3, 4, 1, 1, 1, 4, 3, 1, 3, 2, 1, 1, 1, 2, 2, 5, 1, 2, 1, 5, 3, 3, 1, 3, 1, 2, 2, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 3, 3, 2, 2, 2, 3, 3, 4, 1, 3, 2, 3, 1, 3, 3, 1, 1, 1, 3, 3, 2, 2, 1, 2, 1, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 4, 1, 3, 3, 5, 1, 2, 2, 1, 2, 3, 4, 1, 4, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 3, 3, 4, 1, 2, 3, 1, 1, 1, 4, 3, 3, 1, 1, 1, 2, 3, 5, 5, 4, 3, 1, 2, 4, 2, 1, 1, 4, 1, 1, 1, 4, 2, 3, 2, 2, 3, 1, 2, 4, 2, 3, 1, 2, 5, 2, 1, 3, 3, 4, 1, 3, 2, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 2, 2, 1, 2, 2, 1, 4, 5], "1009": [4, 4, 2, 4, 5, 2, 4, 3, 4, 3, 5, 3, 4, 3, 4, 3, 2, 5, 4], "1384": [4, 3, 4, 4, 1, 4, 4, 4, 1, 3], "5788": [2, 1, 1, 1, 2, 4, 3, 2, 5, 5, 3, 2, 2, 3, 5, 4, 3, 4, 1, 4, 2, 4, 4, 5, 4, 2, 3, 1, 4, 2, 3, 2, 3, 1, 3, 1, 4, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 4, 3, 3, 3, 1, 3, 3, 3, 3, 3, 4, 2, 1, 1, 3, 5, 1, 3, 3, 2, 3, 4, 1, 2, 1, 1, 1, 2, 3, 1, 4, 3, 2, 2, 1, 2, 3, 4, 2, 4, 2, 2, 3, 3, 2, 2, 1, 3, 1, 4, 1, 1, 2, 4, 4, 1, 5, 2, 4, 5, 3, 4, 5, 1, 3, 4, 2, 1, 1, 3, 2, 2, 5, 1, 3, 1, 3, 4, 5, 2, 2, 2, 1, 3, 3, 4, 2, 4, 4, 2, 2, 3, 5, 2, 4, 3, 1, 5, 4, 1, 1, 3, 2, 2, 3, 5, 2, 4, 2, 5, 2, 1, 2, 4, 1, 4, 4, 1, 1, 2, 2, 1, 2, 5, 4, 2, 1, 2, 3, 4, 5, 3, 5, 5, 1, 3, 4, 3, 1, 4, 3, 3, 3, 1, 4, 3, 2, 4, 3, 1, 1, 5, 3, 3, 3, 1, 1, 3, 4, 3, 2, 2, 1, 1, 1, 4, 3, 2, 1, 1, 3, 4, 1, 3, 3, 1, 2, 1, 3, 3, 3, 2, 3, 1, 1, 4, 4, 4, 3, 2, 3, 1, 1, 1, 3, 3, 1, 3, 4, 5, 3, 3, 3, 3, 3, 1, 1, 2, 3, 4, 5, 4, 3, 1, 4, 4, 4, 3, 2, 4, 3, 2, 3, 4, 1, 4, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 4, 1, 4, 4, 3, 1, 1, 5, 1, 2, 2, 3, 1, 3, 1, 1, 4, 3, 2, 1, 3, 1, 2, 1, 5, 3, 2, 3, 5, 1, 3, 4, 3, 1, 1, 3, 5, 4, 4, 4, 1, 5, 3, 5, 4, 1, 4, 1, 1, 2, 4, 5, 5, 5, 1, 5, 5, 4, 5, 5, 3, 4, 3, 2, 3, 2, 3, 3, 2, 4, 3, 5, 3, 5, 3, 4, 4, 4, 1, 1, 5, 3, 1, 4, 1, 5, 2, 3, 5, 5, 5, 4, 4, 3, 3, 1, 3, 4, 2, 4, 2, 2, 2, 4, 3, 2, 4, 2, 1, 3, 3, 1, 3, 1, 3, 4, 5, 3, 1, 4, 1, 4, 3, 5, 3, 4, 1, 5, 3, 2, 1, 3, 4, 3, 3, 3, 2, 3, 3, 3, 1, 2, 1, 2, 1, 4, 1, 1, 2, 2, 4, 4, 1, 1, 4, 1, 3, 4, 4, 3, 2, 3, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 3, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 4, 1, 4, 1, 4, 4, 3, 4, 4, 3, 1, 2, 4, 4, 3, 3, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 4, 3, 2, 5, 2, 5, 4, 4, 4, 1, 1, 5, 5, 3, 3, 1, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 1, 4, 3, 1, 1, 5, 3, 1, 5, 3, 3, 1, 4, 1, 4, 1, 4, 1, 1, 1, 3, 3, 3, 3, 4, 2, 1, 2, 2, 1, 3, 3, 2, 1, 4, 2, 3, 3, 3, 3, 3, 2, 2, 1, 5, 1, 3, 2, 5, 1, 4, 4, 2, 4, 4, 5, 3, 4, 5, 3, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 2, 4, 2, 2, 1, 5, 4, 4, 3, 1, 2, 2, 1, 4, 2, 2, 4, 1, 2, 3, 1, 3, 4, 5, 4, 1, 3, 1, 1, 2, 4, 3, 2, 3, 5, 1, 3, 3, 3, 5, 3, 1, 1, 4, 4, 3, 1, 1, 5, 4, 4, 2, 4, 3, 5, 2, 2, 5, 2, 4, 4, 2, 3, 5, 3, 4, 5, 1, 1, 2, 3, 4, 3, 1, 5, 3, 3, 4, 2, 4, 4, 1, 5, 3, 1], "210": [4, 1, 1, 4, 4, 5, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 2, 5, 3, 5, 5, 5, 2, 4, 3, 4, 3, 5, 5, 5, 4, 1, 2, 4, 1, 5, 5, 1, 5, 5, 5, 2, 1, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 4, 3, 1, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 2, 3, 5, 2, 5, 4, 3], "5054": [3, 5, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 5, 5, 3, 3, 5, 5, 3, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 4, 3, 5, 5, 3, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 2, 3, 4, 3, 5, 4, 3, 4, 5, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 2, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 1, 3, 3, 4, 3, 5, 5, 4, 3, 5, 3, 4, 2, 5, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 5, 3, 4, 2, 3, 3, 4, 5, 4, 5, 4, 2, 4, 2, 3, 5, 2, 3, 3, 3, 3, 1, 2, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 2, 2, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 5, 2, 4, 5, 4, 3, 3, 4, 4, 5, 3, 3, 5, 4, 3, 3, 5, 5, 4, 3, 4, 3, 1, 3, 2, 4, 3, 1, 3, 5, 4, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 3, 2, 3, 3, 4, 3, 4, 1, 4, 3, 3, 4, 5, 5, 2, 5, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 5, 3, 3, 3, 4, 3, 5, 3, 3, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 3, 4, 3, 1, 1, 4, 1, 1, 1, 1, 3, 4, 4, 3, 3, 4, 4, 3, 3, 5, 4, 3, 5, 4, 4, 2, 4, 4, 3, 3, 3, 2, 4, 3, 2, 5, 3, 4, 3, 3, 5, 5, 3, 3, 5, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 3, 3, 5, 4, 4, 1, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 5, 5, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 2, 3, 4, 3, 5, 4, 3, 2, 3, 3, 4, 4, 2, 2, 3, 3, 3, 4, 3, 3, 2, 2, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 3, 2, 1, 5, 4, 3, 3, 3, 4, 5, 2, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 2, 4, 2, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 2, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 2, 4, 2, 3, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 1, 3, 4, 4, 3, 4, 5, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 2, 1, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4, 2, 2, 2, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 2, 2, 2, 3, 4, 4, 2, 3, 3, 5, 3, 4, 3, 4, 2, 4, 4], "3953": [4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 3, 3, 2, 4, 4, 5, 5, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 4, 2, 4, 5, 5, 2, 4, 5, 4, 3, 4, 4, 4, 4, 1, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 3, 4, 5, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 3, 3, 4, 1, 4, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 4, 3, 2, 3, 4, 4, 4, 1, 4, 5, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 2, 3, 3, 3, 3, 3, 5, 3, 4, 5, 2, 4, 5, 4, 5, 3, 3, 3, 3, 2, 4, 5, 4, 5, 5, 4, 4, 4, 4, 2, 4, 3, 5, 2, 4, 4, 4, 4, 4, 3, 5, 3, 4, 3, 3, 4, 3], "5343": [5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 2, 4, 5, 5], "756": [5, 5, 3, 5, 5, 2, 4, 3, 4, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 2, 5, 5, 3, 3, 3, 5, 3, 5, 4, 5], "2403": [2, 4, 2, 5, 4, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 3, 3, 2, 4, 2, 4, 2, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 2, 3, 4, 1, 4, 3, 3, 4, 2, 4, 2, 4, 3, 5, 1, 2, 1, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 2, 2, 3, 4, 2, 4, 5, 4, 4, 3, 2, 4, 3, 5, 3, 3, 5, 4, 2, 1, 5, 4, 4, 4, 3, 3, 4, 5, 3, 1, 2, 4, 5, 5, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 2, 3, 3, 5, 3, 3, 3, 2, 3, 2, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4], "1659": [3, 3, 4, 3, 4, 2, 4, 5, 4, 1, 1, 4, 1, 4, 1, 4, 4, 1, 4, 2, 3, 2, 5, 5, 4, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 5, 5, 3], "207": [4, 5, 4, 4, 4, 4, 5, 1, 2, 3, 4, 3, 2], "2063": [4, 1, 3, 4, 3, 2, 3, 4, 2, 3, 3, 4, 4, 3, 2, 1, 1, 4, 5, 2, 4, 5, 3, 3, 1, 3, 4, 4, 1, 3, 2, 5, 3, 3, 4, 4, 4, 4, 2, 4, 5, 3, 3, 4, 3, 1, 4, 3, 2, 3, 2, 4, 2, 2, 3, 4, 4, 4, 4, 3, 2, 3, 3, 2, 3, 2, 4, 3, 1, 3, 3, 2, 1, 5, 4, 2, 3, 4, 2, 3, 4, 3, 3, 5, 3, 4, 2, 2, 3, 3, 3, 2, 4, 2, 4, 3, 3, 2, 3, 2, 3, 2, 4, 4, 3, 3, 3, 1, 2, 3, 3, 2, 4, 2, 2, 2, 3, 3, 4, 4, 5, 3, 3, 3, 3, 2, 2, 2, 4, 2, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 2, 2, 4, 3, 1, 2, 4, 5, 4, 3, 3, 4, 3, 2, 3, 3, 1, 5, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 1, 1, 2, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 3, 1, 5, 3, 3, 4, 2, 2, 2, 1, 2, 3, 3, 4, 2, 2, 1, 4, 2, 5, 1, 4, 3, 3, 4, 3, 3, 3, 3, 4, 1, 1, 3, 2, 2, 3, 2, 3, 4, 4, 2, 2, 4, 4, 1, 4, 1, 3, 4, 2, 3, 1, 2, 2, 2, 2, 3, 4, 3, 3, 2, 4, 2, 4, 1, 3, 2, 3, 2, 2, 1, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 2, 3, 1, 3, 3, 3, 4, 2, 3, 1, 3, 4, 4, 3, 3, 3, 3, 5, 1, 2, 5, 4, 3, 1, 2, 1, 3, 3, 2, 3, 3, 1, 3, 3, 2, 3, 4, 4, 2, 3, 5, 3, 3, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 1, 3, 2, 2, 1, 3, 3, 2, 4, 3, 2, 2, 1, 1, 3, 3, 4, 4, 1, 5, 3, 3, 3, 4, 4, 2, 3, 3, 1, 2, 4, 2, 3, 2, 4, 3, 5, 3, 3, 4, 4, 2, 5, 2, 3, 2, 2, 3, 3, 1, 4, 3, 2, 3, 3, 2, 3, 5, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 5, 2, 2, 3, 4, 2, 3, 3, 4, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 3, 1, 2, 2, 1, 2, 2, 4, 3, 4, 3, 3, 2, 1, 1, 2, 2, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 3, 3, 3, 4, 3, 2, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 2, 5, 3, 2, 4, 3, 2, 5, 4, 5, 4, 1, 4, 2, 5, 4, 4, 4, 3, 4, 2, 2, 2, 4, 1, 3, 3, 3, 4, 2, 4, 1, 1, 3, 3, 4, 2, 2, 4, 2, 3, 4, 4, 4, 2, 3, 3, 3, 4, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 4, 2, 3, 3, 2, 3, 3, 3, 5, 3, 2, 3, 2, 3, 3, 2, 5, 4, 3, 4, 5, 2, 4, 3, 3, 3, 4, 2, 2, 3, 1, 4, 4, 2, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 2, 3, 2, 4, 2, 3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 3, 2, 3, 4, 2, 2, 4, 3, 4, 3, 2, 1, 2, 4, 3, 2, 2, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 1, 4, 3, 2, 3, 4, 5, 2, 4, 1, 2, 2, 2, 2, 2, 1, 4, 2, 3, 1, 2, 3, 4, 3, 2, 2, 2, 3, 1, 3, 4, 2, 5, 3, 2, 3, 2, 4, 2, 3, 4, 3, 3, 2, 4, 2, 3, 2, 3, 4, 2, 3, 4, 2, 4, 3, 3, 1, 2, 3, 3, 3, 3, 4, 4, 1, 3, 1, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 1, 3, 2, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 2, 4, 3, 4, 3, 4, 4, 2, 4, 3, 3, 3, 2, 2, 3, 3, 4, 2, 4, 1, 2, 4, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 5, 3, 5, 3, 4, 2, 4, 3, 3, 3, 1, 1, 1, 3, 2, 2, 5, 3, 2, 4, 4, 4, 3, 3, 1, 3, 3, 1, 4, 1, 3, 4, 3, 2, 2, 2, 2, 2, 1, 3, 3, 2, 3, 3, 1, 3, 2, 4, 1, 4, 3, 3, 4, 4, 3, 2, 1, 3, 4, 2, 1, 4, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 2, 4, 2, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 1, 4, 3, 3, 4, 2, 1, 1, 5, 3, 4, 4, 3, 2, 4, 5, 3, 2, 3, 3, 3, 3, 2, 4, 4, 5, 4, 2, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 1, 1, 2, 4, 2, 2, 2, 1, 2, 2, 4, 3, 4, 4, 4, 3, 1, 4, 5, 4, 2, 4, 4, 3, 3, 3, 3, 4, 1, 2, 3, 3, 3, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 2, 5, 2, 2, 4, 4, 3, 3, 1, 3, 3, 3, 3, 2, 4, 3, 1, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 4], "5666": [5, 4, 2, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5], "3778": [3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 4, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 4, 4, 3, 3, 2, 3, 5, 3, 4, 3, 3, 5, 4, 4, 5, 4, 3, 4, 4, 1, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 3, 4, 1, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 3, 3, 2, 2, 4, 1, 4, 1, 3, 1, 1, 1, 3, 3, 2, 4, 2, 1, 2, 3, 3, 2, 1, 4, 5, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 1, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 3, 1, 3, 4, 3, 2, 2, 3, 5, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 2, 2, 3, 2, 4, 4, 2, 2, 1, 4, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 3, 1, 1, 3, 4, 3, 4, 3, 3, 3, 4, 2, 1, 3, 3, 5, 3, 2, 4, 3, 3, 3, 4, 3, 3, 1, 3, 2, 3, 1, 1, 4, 1, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 2, 2, 3, 3, 4, 3, 1, 3, 2, 2, 1, 1, 3, 5, 1, 2, 2, 3, 2, 5, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 4, 2, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 5, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 3, 2, 4, 2, 3, 5, 4, 4, 4, 4, 2, 4, 2, 3, 3, 1, 3, 3, 3, 2, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 4, 2, 4, 2, 3, 3, 3, 3, 3, 1, 2, 3, 3, 1, 4, 2, 3, 3, 3, 2, 2, 1, 3, 1, 4, 4, 3, 3, 2, 1, 2, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 1, 3, 2, 1, 4, 4, 3, 4, 3, 2, 3, 3, 3, 2, 4, 3, 2, 2, 3, 4, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 3, 3, 3, 2, 4, 5, 5, 2, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 2, 2, 1, 3, 1, 2, 4, 2, 4, 2, 1, 4, 3, 4, 3, 3, 3, 3, 4, 3, 1, 2, 2, 4, 2, 3, 2, 3, 2, 3, 4, 3, 3, 3, 2, 1, 1, 4, 3, 1, 2, 3, 3, 1, 2, 4, 3, 3, 3, 5, 2, 3, 5, 3, 4, 3, 2, 4, 4, 2, 1, 2, 3, 1, 2, 2, 5, 2, 2, 1, 4, 2, 2, 2, 3, 1, 1, 1, 3, 4, 3, 3, 3, 3, 2, 2, 4, 3, 5, 3, 2, 4, 3, 2, 1, 1, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 3, 2, 1, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 1, 1, 2, 2, 1, 3, 3, 2, 3, 2, 3, 2, 4, 1, 3, 2, 4, 3, 1, 4, 1, 1, 3, 3, 2, 3, 2, 5, 1, 2, 2, 3, 1, 3, 3, 1, 2, 2, 3, 2, 2, 3, 3, 2, 4, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 1, 1, 5, 3, 1, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 3, 3, 4, 3, 4, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 4, 2, 2, 4, 1, 2, 3, 4, 2, 4, 3, 4, 3, 4, 3, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 5, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 1, 2, 1, 4, 4, 1, 2, 4, 2, 3, 1, 1, 3, 2, 4, 3, 1, 3, 5, 3, 3, 2, 1, 2, 1, 1, 2, 3, 4, 1, 3, 2, 1, 4, 3, 4, 1, 3, 2, 1, 2, 3, 2, 2, 1, 1, 3, 1, 4, 4, 2, 2, 3, 2, 5, 1, 2, 4, 4, 3, 3, 3, 3, 2, 2, 4, 3, 2, 3, 3, 3, 2, 4, 4, 3, 4, 5, 2, 3, 3, 2, 4, 3, 1, 2, 3, 2, 1, 3, 3, 2, 3, 2, 4, 5, 5, 4, 2, 4, 1, 1, 4, 3, 4, 3, 2, 2, 2, 3, 2, 3, 3, 2, 3, 2, 1, 4, 3, 3, 4, 1, 2, 2, 4, 2, 3, 3, 3, 4, 1, 2, 2, 3, 1], "2111": [4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4], "4929": [5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 1, 4, 2, 5, 4, 5, 5, 5, 4, 5, 2, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5], "4060": [4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4], "1137": [3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 5, 4, 5, 3, 3, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 2, 4, 4, 5, 4, 4, 5, 3, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 2, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 2, 3, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 4, 3, 5, 4, 2, 2, 3, 4, 5, 4, 3, 5, 3, 3, 5, 3, 2, 5, 3, 4, 3, 4, 2, 2, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 4, 2, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 2, 5, 4, 5, 4, 3, 4, 3, 5, 2, 4, 5, 5, 3, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 5, 2, 5, 3, 4, 3, 5, 5, 5, 2, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 5, 3, 4, 4, 2, 4, 5, 5, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 2, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 3, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 5, 5, 5, 4, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 2, 3, 5, 4, 5, 5, 5, 3, 2, 5, 3, 5, 4, 5, 5, 5, 4], "5998": [4, 5, 3, 2, 4, 2, 4, 5, 3, 2, 1, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 2, 4, 2, 4, 2, 2, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 1, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 2, 1, 5, 4, 2, 4, 4, 4, 1, 4, 5, 5, 3, 2, 3, 2, 3, 5, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 2, 3, 4, 2, 3, 4, 4], "2505": [5, 1, 5, 4, 5, 3, 4, 4, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 2], "3643": [4, 5, 5, 3, 3, 4, 5, 5, 5, 3, 5, 5, 2, 3, 3, 5, 3, 4, 4, 5, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 3, 2, 4, 1, 3, 5, 4, 2, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 5, 3, 4, 2, 2, 3, 3, 4, 4, 1, 4, 4, 3, 3, 4, 2, 3, 5, 3, 2, 5, 3, 3, 4, 4, 3, 3, 1, 1, 3, 4, 3, 3, 2, 4, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 3, 3, 5, 4, 5, 2, 5, 4, 5, 3, 3, 5, 4, 5], "2788": [4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 2, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5], "1706": [4, 5, 4, 5, 4, 4, 1, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 3, 5, 2, 5, 4, 5, 5, 5, 2, 4, 5, 3, 5, 5, 4, 5, 3, 2, 4, 4, 4, 5, 5, 4, 2, 3, 4, 3, 4, 3, 2, 5, 5, 3, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 4, 5, 2, 1, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 2, 4, 3, 2, 2, 4, 3, 4, 4, 3, 4, 4, 2, 4, 3, 5, 5, 5, 5, 2, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 3, 5, 3, 4, 5, 4], "5250": [5, 1, 5, 3, 1, 2, 3, 2, 5, 5, 2, 5, 4, 4, 3, 5, 5, 3, 5, 3, 3, 5, 4, 1, 5, 1, 1, 2, 4, 5, 2, 5, 4, 4, 3, 1, 5, 5, 5, 4, 3, 5, 4, 3, 5, 4, 5, 3, 2, 4, 5, 3, 4, 5, 1, 3, 3, 4, 5, 2, 2, 5, 2, 1, 5, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 5, 1, 3, 2, 5, 4, 2, 2, 1, 3, 5, 5, 5, 4, 4, 3, 1, 5, 4, 5, 4, 1, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 3, 2, 5, 3, 2, 2, 5, 4, 3, 4, 2, 5, 5, 4, 2, 5, 1, 5, 5, 5, 4, 3, 1, 4, 3, 3, 5, 3, 3, 5, 3, 1, 5, 5, 5, 4, 2, 3, 2, 3, 3, 2, 4, 5, 1, 4, 5, 5, 4, 5, 3, 4, 4, 1, 1, 4, 3, 3, 1, 5, 3, 5, 4, 3, 4, 5, 3, 4, 5, 5, 4, 2, 5, 4, 3, 5, 2, 3, 2, 2, 4, 2, 5, 4, 5, 5, 4], "3986": [4, 2, 3, 4, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 4, 3], "4016": [2, 2, 3, 2, 3, 5, 3, 4, 4, 4, 5, 3, 2, 5, 4, 5, 5, 1, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 3, 3, 3, 2, 4, 4, 4, 4, 5, 4, 3, 2, 3, 2, 3, 1, 1, 2, 5, 3, 3, 1, 3, 4, 3, 4, 3, 3, 3, 5, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 5, 3, 5, 3, 5, 5, 2, 4, 4, 3, 4, 3, 4, 2, 2, 2, 3, 3, 3, 2, 3, 4, 2, 3, 4, 4, 3, 2, 3, 3, 5, 3, 3, 5, 5, 3, 2, 4, 3, 2, 1, 1, 1, 1, 2, 1, 3, 3, 2, 5, 2, 3, 3, 4, 4, 1, 3, 5, 4, 3, 2, 4, 1, 5, 3, 3, 3, 3, 2, 5, 3, 3, 2, 3, 5, 2, 3, 4, 1, 5, 4, 4, 4, 3, 4, 3, 1, 1, 1, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 4, 5, 1, 2, 3, 3, 2, 3, 3, 3, 4, 1, 2, 1, 3, 3, 3, 4, 3, 3, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 4, 2, 4, 4, 5, 4, 5, 2, 3, 2, 3, 1, 4, 4, 4, 3, 5, 3, 4, 3, 1, 4, 4, 4, 3, 1, 2, 4, 3, 2, 2, 3, 3, 2, 3, 2, 3, 4, 2, 2, 4, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 3, 5, 5, 5, 3, 3, 5, 3, 4, 3, 2, 4, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 1, 1, 3, 4, 3, 3, 4, 3, 2, 4, 3, 3, 2, 2, 1, 2, 2, 2, 4, 1, 1, 4, 3, 1, 3, 3, 4, 3, 1, 3, 1, 5, 4, 3, 3, 4, 3, 4, 2, 2, 3, 5, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 3, 5, 3, 1, 3, 5, 3, 3, 3, 3, 4, 3, 2, 2, 3, 5, 4, 2, 5, 4, 5, 1, 4, 2, 1, 1, 3, 4, 2, 2, 3, 3, 2, 4, 4, 3, 3, 4, 4, 1, 4, 2, 2, 3, 5, 3, 3, 3, 1, 1, 5, 1, 3, 3, 2, 1, 2, 3, 3, 3, 2, 4, 1, 5, 5, 2, 2, 3, 1, 3, 3, 3, 3, 2, 2, 3, 2, 5, 3, 5, 3, 1, 3, 3, 3, 3, 4, 3, 2, 4, 4, 3, 3, 5, 2, 4, 5, 3, 2, 1, 1, 4, 3, 3, 4, 2, 2, 5, 3, 1, 5, 4, 2, 3, 3, 1, 4, 3, 2, 3, 3, 3, 2, 2, 2, 5, 2, 4, 3, 4, 3, 3, 5, 2, 4, 3, 2, 3, 5, 2, 4, 2, 1, 4, 4, 3, 3, 5, 3, 5, 3, 3, 4, 3, 3, 5, 5, 2, 4, 1, 2, 3, 1, 5, 3, 2, 2, 1, 4, 2, 4, 5, 4, 3, 3, 3, 4, 1, 4, 3, 4, 2, 2, 5, 1, 5, 4, 3, 3, 5, 1, 1, 3, 4, 5, 2, 2, 5, 1, 4, 2, 1, 2, 3, 3, 4, 2, 4, 5, 2, 3, 2, 2, 4, 1, 5, 2, 1, 2, 2, 4, 2, 1, 4, 5, 3, 1, 3, 3, 2, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 2, 2, 3, 2, 3, 4, 3, 3, 4, 2, 4, 2, 5, 4, 2, 4, 4, 3, 4, 3, 2, 3, 4, 2, 3, 5, 3, 2, 1, 5, 5, 2, 3, 3, 2, 3, 4, 3, 5, 2, 3, 2, 2, 3, 2, 5, 3, 3, 5], "5534": [5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 5, 5, 2, 5, 4, 4, 5, 5, 4, 3, 4, 3, 4, 5, 5], "222": [2, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 2, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5], "166": [3, 4, 5, 3, 3, 4, 4, 2, 3, 5, 5, 3, 5, 5, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 5, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 4, 3, 2, 4, 4, 3, 3, 5, 3, 5, 3, 5, 3, 3, 2, 3, 5, 4, 5, 5, 5, 5, 2, 4, 4, 3, 3, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 2, 3, 3, 3, 3, 4, 5, 4, 3, 5, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 4, 5, 4, 4, 5, 2, 4, 5, 3, 4, 3, 3, 5, 3, 4, 5, 3, 4, 3, 3, 3, 2, 4, 2, 3, 3, 5, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 4, 2, 4, 4, 3, 4, 5, 3, 2, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 5, 1, 3, 3, 5, 3, 2, 5, 2, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 3, 5, 3, 4, 3, 4, 2, 5, 3, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 2, 5, 4, 4, 4, 5, 3, 2, 3, 5, 3, 2, 5, 4, 3, 5, 3, 3, 5, 5, 3, 3, 3, 4, 5, 3, 5, 4, 3, 3, 5, 5, 5, 3, 3, 3, 4, 3, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 5, 5, 5, 3, 2, 3, 4, 4, 5, 4, 4, 2, 5, 3, 4, 4, 5, 5, 5, 3, 4, 5, 1, 3, 3, 5, 4, 4, 5, 4, 2, 3, 3, 5], "4705": [5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 1, 1, 3, 5, 4, 4, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 1, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 4, 4, 4, 1, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 2, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 1, 1, 2, 4, 3, 3, 5, 4, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 3, 2, 4, 3, 3, 5, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 4, 1, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3], "476": [4, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 2, 4, 3, 3, 5, 5, 3, 4, 5, 4, 5, 4, 2, 5, 5, 3, 5, 3, 5, 3, 3, 2, 3, 3, 5, 3, 5, 5, 5, 2, 4, 3, 4, 5, 4, 4, 5, 2, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 3, 4, 5, 2, 3, 3, 3, 2, 5, 5, 5, 5, 5, 4, 2, 5, 4, 3, 5, 5, 3, 5, 4, 3, 3, 4, 3, 5, 3, 4, 4, 3, 5, 4, 3, 2, 3, 4, 5, 4, 3, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 3, 5, 2, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 5, 3, 5, 5, 4, 3, 2, 3, 3, 5, 5, 4, 2, 4, 4, 4, 2, 2, 3, 4, 3, 2, 5, 4, 3, 4, 5, 3, 4, 5, 5, 2, 3, 3, 3, 5, 2, 3, 3, 3, 4, 4, 3, 4, 4, 3, 5, 4, 3, 3, 3, 3, 4, 3, 2, 5, 5, 2, 5, 4, 2, 4, 4, 4, 5, 3, 5, 4, 2, 4, 1, 4, 4, 3, 4, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 4, 1, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 2, 5, 4, 1, 5, 1, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 2, 5, 1, 2, 4, 3, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 1, 5, 3, 3, 3, 4, 2, 5, 4, 4, 5, 5, 3, 3, 5, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 1, 4, 5, 5, 5, 4, 3, 5, 5, 3, 4, 2, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 3, 4, 3, 4, 3, 1, 4, 5, 1, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 3], "2961": [4, 3, 4, 4, 5, 4, 3, 5, 2, 5, 5, 3, 4, 3, 5, 3, 4, 5, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 5, 2, 5, 3, 4, 5, 4, 4, 4, 4, 5], "5441": [4, 5, 4, 3, 5, 5, 4, 5, 3, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 2, 4, 5, 5, 5, 1, 5, 4, 4, 5, 4, 3, 3, 5, 3, 4, 4, 4, 3, 5, 4, 5, 2, 3, 5, 5, 2, 5, 4, 5, 5, 5, 2, 3, 4, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 1, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 3, 3, 2, 4, 5, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 5, 4, 3, 4, 2, 3, 4, 1, 2, 5, 2, 4, 3, 4, 4, 4, 4, 2, 5, 3, 3, 5, 3, 5, 4, 3, 3, 3, 3, 1, 4, 5, 5, 3, 4], "6037": [3, 3, 4, 3, 5, 3, 5, 5, 3, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 2, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 3, 5, 3, 1, 2, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 5, 4, 3, 5, 5, 5, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 5, 2, 2, 2, 4, 5, 5, 3, 4, 3, 5, 5, 3, 3, 3, 5, 3, 3, 4, 4, 4, 3, 4, 5], "1942": [3, 3, 2, 3, 1, 4, 3, 4, 4, 3, 3, 5, 2, 2, 1, 1, 5, 5, 3, 5, 1, 1, 2, 3, 5, 4, 1, 1, 1, 2, 1, 1, 2, 4, 5, 1, 5, 4], "4998": [3, 3, 3, 3, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 5, 2, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 4, 1, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4], "5903": [2, 5, 4, 5, 5, 5, 5, 5, 2, 1, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 2, 4, 4, 3, 3, 4, 3, 2, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 2, 4, 4, 1, 5, 3, 4, 3, 5, 3, 4, 3], "183": [3, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 3, 5, 5, 3, 4, 5, 5, 4, 5, 5, 2, 5, 3, 1, 5, 4, 2, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 1, 4, 5, 4, 5, 4, 5, 1, 3, 4, 1, 5, 5, 4, 5, 5, 5, 3, 3, 4, 2, 3, 5, 2, 4, 4, 5, 4, 5], "3433": [5, 5, 3, 2, 4, 4, 5, 3, 5, 2, 2, 5, 3, 3, 5, 4, 2, 3, 3, 4, 5, 5, 4, 2, 4, 4, 5, 1, 4, 3, 3, 5, 1, 1, 2, 4, 2, 1, 4, 1, 5, 1, 2, 5, 4, 1, 1, 1, 1, 1, 1, 5, 1, 1, 4, 5, 4, 5, 5, 3, 4, 4, 3, 4, 2, 2, 5, 1, 2], "3774": [3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 2, 3, 4, 4, 5, 4, 1, 1, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 1, 5, 5, 4, 4], "1971": [5, 3, 5, 5, 5, 1, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5], "1391": [3, 4, 3, 4, 4, 5, 4, 4, 3, 2, 4, 3, 5, 4, 5, 4, 3, 5, 4, 3, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 2, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 4, 1, 3, 3, 3, 3, 4, 2, 4, 4, 5, 5, 4, 2, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 2, 2, 4, 4, 3, 2, 3, 4, 4, 3, 4, 3, 2, 4, 2, 2, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 5, 5, 3, 4, 3, 4, 2, 2, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3], "2792": [2, 3, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 3, 2, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 1, 4, 4, 3, 1, 3, 2, 3, 4, 2, 1, 4, 3, 4, 2, 1, 4, 3, 1, 3, 2, 2, 3, 5, 4, 2, 4, 3, 2, 5, 4, 3, 3, 3, 2, 1, 4, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 1, 1, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 2, 3, 3, 3, 4, 5, 4, 2, 3, 3, 2, 4, 4, 2, 4, 1, 2, 5, 3, 4, 2, 1, 1, 1, 3, 1, 2, 1, 3, 2, 1, 3, 3, 5, 3, 3, 3, 3, 4, 4, 1, 4, 4, 3, 2, 3, 3, 2, 3, 2, 1, 2, 1, 3, 4, 3, 3, 2, 1, 3], "5947": [2, 3, 3, 1, 4, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 2, 2, 3, 4, 2, 3, 2, 5, 1, 3, 4, 4, 3, 4, 1, 2, 2, 2, 4, 1, 2, 4, 2, 3, 5, 4, 3, 2, 3, 4, 1, 3, 2, 1, 4, 1, 3, 1, 1, 1, 4, 4, 1, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 3, 5, 2, 3, 1, 4, 2, 2, 2, 3, 2, 1, 1, 3, 4, 2, 2, 2, 5, 5, 3, 2, 4, 4, 1, 4, 5, 5, 4, 3, 5, 4, 2, 4, 3, 3, 5, 5, 2, 4, 3, 5, 3, 5, 3, 2, 5, 2, 3, 5, 1, 2, 4, 1, 1, 2, 4, 1, 4, 5, 1, 1, 5, 2, 1, 4, 1, 1, 3, 5, 2, 2, 4], "3305": [3, 1, 4, 4, 5, 2, 4, 3, 4, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 3, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5], "4105": [3, 3, 3, 3, 4, 1, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 2, 1, 2, 2, 4, 2, 1, 2, 3, 2, 3, 4, 3, 3, 3, 3, 3], "563": [3, 3, 3, 3, 4, 4, 5, 4, 4, 5, 3, 1, 5, 1, 5, 5, 5, 4, 2, 3, 4, 4, 3, 1, 4, 4, 5, 4, 5, 4, 4, 2, 3, 3, 3, 4, 1, 3, 3, 3, 3, 5, 5, 3, 4, 2, 2, 1, 1, 3, 3, 1, 2, 1, 3, 3, 4, 1, 2, 2, 3, 2, 4, 3, 1, 1, 2, 3, 1, 3, 3, 1, 1, 1, 3, 2, 4, 3, 1, 4, 3, 4, 3, 2, 2, 3, 4, 3, 1, 5, 2, 2, 3, 3, 1, 2, 3, 1, 1, 1, 1, 1, 3, 3, 4, 5, 1, 1, 1, 4, 4, 2, 3, 3, 3, 2, 3, 4, 3, 3, 1, 2, 4, 2, 4, 2, 3, 1, 1, 4, 1, 3, 4, 5, 3, 4, 3, 2, 1, 1, 3, 3, 4, 3, 2, 1, 1, 4, 3, 4, 3, 1, 5, 3, 4, 1, 2, 4, 2, 3, 4, 3, 2, 3, 1, 1, 2, 3, 1, 1, 4, 4, 1, 2, 3, 1, 1, 1, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 3, 3, 3, 3, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 3, 2, 2, 4, 4, 3, 4, 2, 2, 2, 5, 3, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 1, 3, 3, 4, 3, 2, 2, 2, 4, 3, 1, 5, 3, 1, 2, 3, 1, 5, 3, 1, 1, 3, 3, 3, 2, 4, 5, 5, 3, 3, 2, 3, 5, 1, 3, 5, 3, 4, 1, 2, 4, 3, 1, 3, 2, 3, 2, 3, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 3, 2], "543": [4, 3, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 3, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 5, 3, 3, 5, 3, 4, 4, 3, 5, 4, 3, 4, 3, 5, 3, 4, 4, 5, 2, 4, 5, 4, 3, 4, 5, 5, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 2, 5, 5, 3, 5, 5, 3, 4, 4, 3, 5, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 3, 2, 5, 3, 4, 4, 3, 4, 4, 5, 5, 3, 4, 5, 3, 2, 5, 4, 2, 3, 4, 3, 2, 3, 4, 5, 4, 1, 4, 5, 3, 3, 5, 3, 3, 5, 4, 5, 4, 2, 5, 3, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 5, 5, 4, 5, 4, 2, 5, 2, 4, 5, 3, 4, 4, 3, 5, 2, 3, 4, 4, 5, 5, 4, 5, 4, 2, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 2, 3, 3, 5, 3, 4, 3, 5, 4, 5, 4, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 3, 5, 3, 5, 3, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 2, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 2, 5, 4, 4, 4, 4, 5, 3, 1, 5, 4, 5, 5, 5, 2, 5, 2, 5, 2, 2, 4, 5, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 2, 4, 5, 4, 3, 5, 1, 4, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 4, 4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 2, 2, 4, 5, 4, 5, 4, 4, 3, 5, 1, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 5, 5, 2, 3, 5, 3, 4, 5, 2, 3, 5, 5, 4, 3, 5, 5, 1, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 2, 5, 4, 4, 4, 5, 5, 4, 5, 2, 3, 5, 3, 4, 4, 5, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 2, 4, 2, 5, 5, 3, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 2, 2, 3, 4, 4, 3, 3, 4, 3, 2, 4, 5, 5, 3, 5, 4, 3, 5, 4, 2, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5], "869": [5, 4, 4, 1, 1, 2, 3, 3, 5, 4, 3, 4, 4, 5, 5, 5, 5, 2, 3, 1, 4, 4, 5, 3, 4, 2, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 5, 1, 3, 5, 4, 3, 2, 4, 5, 3, 3, 5, 3, 3, 1, 5, 5, 4, 3, 2, 4, 4, 4, 3, 4, 3, 3, 5, 4, 2, 3, 3, 4, 3, 3, 3, 5, 4, 5, 4, 3, 3, 5, 2, 4, 4, 5, 5, 4, 4, 4, 2, 1, 4, 3, 3, 1, 1, 3, 2, 3, 4, 5, 1, 3, 3, 5, 3, 3, 2, 2, 5, 4, 3, 4, 2, 5, 1, 4, 5, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 5, 4, 2, 3, 4, 4, 5, 4, 3, 3, 4, 1, 3, 4, 2, 3, 1, 2, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 5, 3, 1, 4, 4, 3, 4, 3, 4, 2, 2, 4, 3, 5, 3, 3, 4, 2, 4, 2, 4, 3, 4, 4, 3, 5, 5, 5, 4, 4, 3, 4, 2, 2, 1, 2, 4, 4, 3, 3, 3, 5, 5, 3, 5, 2, 2, 5, 3, 4, 3, 1, 1, 4, 4, 4, 3, 1, 3, 1, 5, 3, 4, 2, 3, 2, 2, 5, 4, 4, 3, 4, 4, 5, 3, 5, 2, 3, 4, 4, 4, 2, 1, 4, 1, 2, 4, 4, 4, 4, 2, 5, 4, 3, 3, 3, 2, 4, 1, 4, 5, 3, 4, 5, 3, 5, 2, 4, 4, 4, 3, 5, 3, 4, 1, 4, 1, 3, 4, 4, 4, 4, 3, 5, 3, 3, 5, 3, 3, 3, 5, 2, 3, 1, 3, 3, 2, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 5, 4, 4, 3, 5, 4, 3, 5, 5, 4, 2, 3, 2, 4, 2, 4, 3, 1, 1, 4, 2, 4, 2, 2, 4, 2, 1, 5, 1, 1, 1, 4, 2, 2, 5, 4, 3, 5, 3, 1, 3, 3, 4, 5, 2, 2, 4, 4, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 3, 1, 4, 4, 2, 4, 3, 4, 4, 1, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 2, 3, 4, 3, 4, 5, 3, 3, 4, 3, 2, 1, 5, 3, 4, 3, 5, 4, 4, 3, 1, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 2, 3, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 2, 4, 2, 2, 4, 2, 4, 3, 2, 1, 3, 3, 4, 1, 2, 3, 5, 4, 4, 4, 5, 4, 1, 5, 1, 4, 4, 4, 3, 4, 1, 4, 2, 3, 1, 1, 2, 5, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 2, 4, 5, 1, 4, 4, 3, 2, 4, 3, 4, 4, 5, 3, 5, 5, 4, 4, 3, 2, 4, 3, 4, 5, 2, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 3, 4, 3, 3, 1, 2, 4, 3, 4, 4, 5, 4, 4, 5, 3, 5, 1, 4, 5, 5, 5, 4, 5, 3, 3, 3, 4, 4, 3, 2, 3, 1, 2, 3, 4, 4, 4, 4, 3], "3264": [3, 3, 2, 1, 1, 3, 2, 4, 2, 1, 2, 4, 3, 2, 2, 5], "1023": [3, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 1, 5, 3, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4], "4405": [5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 1, 5, 5, 4, 5, 2, 5, 5, 5], "5935": [2, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4], "932": [5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 5], "4316": [4, 4, 5, 3, 2, 4, 3, 3, 4, 2, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3], "3872": [4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4], "5076": [4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 2, 2, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 5, 3, 2, 2, 4, 4, 5, 4, 4, 2, 2, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 4, 4], "2803": [4, 4, 5, 5, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 2, 2, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 1, 4, 5, 4, 5, 4, 3, 4, 3, 5, 5, 5, 1, 3, 1, 1, 4, 4, 1, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 4, 2, 3, 3, 1, 4, 4, 3, 4, 2, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5], "5879": [3, 5, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 5, 4, 2, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3], "315": [5, 5, 4, 5, 5, 3, 4, 5, 2, 4, 4, 5, 1, 5, 2, 5, 3, 4, 4], "5347": [3, 2, 3, 2, 3, 5, 4, 5, 2, 1, 3, 3, 3, 3, 1, 3, 3, 4, 3, 3, 5, 4, 3, 4, 1, 3, 5, 1, 2, 3, 4, 5, 4, 3, 1, 3, 4, 5, 4, 4, 2, 4, 3, 4, 1, 3, 3, 1, 4, 3, 2, 3, 3, 4, 4, 2, 2, 5, 4, 3, 4, 2, 4, 5, 5, 4, 4, 1, 5, 4, 4, 1, 4, 3, 5, 1, 4, 3, 1, 3, 3, 2, 5, 4, 3, 5, 2, 4, 4, 3, 4, 1, 3, 5, 3, 2, 3, 4, 3, 2, 4, 4, 3, 5, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 4, 1, 4, 5, 4, 4, 4, 3, 3, 3, 3, 1, 3, 4, 4, 1, 4, 2, 5, 2, 4, 1, 3, 4, 3, 5, 1, 4, 1, 2, 5, 4, 4, 1, 2, 4, 3, 4, 1, 3, 5, 3, 1, 4, 2, 1, 1, 2, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 2, 3, 2, 4], "3522": [5, 3, 3, 3, 5, 5, 4, 5, 3, 5, 4, 3, 5, 3, 2, 4, 4, 4, 2, 4, 4, 2, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 4, 4, 2, 3], "80": [2, 3, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 2, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5], "4454": [5, 3, 1, 5, 2, 2, 3, 2, 2, 2, 3, 4, 3, 1, 5, 5, 5, 3, 2, 2, 1, 5, 3, 2, 1, 3, 3, 5, 1, 1, 2, 3, 3, 4, 3, 2, 4, 5, 2, 3, 1, 5, 4, 1, 1, 3, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 3, 4, 1, 2, 5, 5, 4, 2, 2, 1, 1, 3, 3, 2, 2, 1, 3, 1, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 1, 1, 4, 5, 3, 1, 1, 2, 2, 2, 4, 1, 2, 1, 2, 1, 3, 4, 5, 5], "1802": [5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 2, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 3, 2, 4, 4, 5, 4, 3, 3, 5, 5, 5, 4, 3, 5, 3, 4, 5, 4, 3, 3, 2, 4, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 2, 5, 3, 3, 4, 3, 3, 4, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 1, 3, 5, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 2, 3, 5, 4, 5, 4, 3, 3, 3, 4, 4, 2, 2, 2, 2, 4, 2, 2, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 2, 5, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 2, 4, 5, 5, 5, 4, 2, 5], "5485": [4, 3, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 4, 5, 3, 3, 3, 2, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 5, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 2, 5, 3, 4, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 3, 4, 2, 3, 4, 5, 5, 5, 3, 4, 3, 5, 5, 3, 2], "4087": [4, 4, 4, 1, 3, 4, 2, 2, 4, 2, 3, 2, 3, 3, 5], "2611": [3, 1, 5, 4, 5, 3, 5, 4, 3, 5, 5, 5, 5, 1, 4, 3, 2, 4, 1, 4, 5, 4, 4, 4, 5, 1, 4, 1, 5, 5, 1, 5, 3, 2, 4, 4, 5, 5, 1, 2, 1, 4, 4, 5, 5, 5, 1, 5, 2, 3, 1, 4, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 1, 4, 5, 4, 5, 4, 2, 1, 2, 5, 4, 3, 3, 1, 1, 4, 1, 1, 4, 5, 3, 3, 4, 2, 5, 5, 1, 4, 3, 4, 1, 5, 5, 1, 5, 4, 3, 3, 2, 3, 5, 4, 2, 1, 4, 5, 5, 3, 1, 4, 1, 4, 1, 3, 2, 5, 2, 5, 3, 1, 4, 5, 4, 5, 1, 1, 4, 3, 5, 5, 3, 1, 5, 5, 1, 4, 4, 3, 5, 3, 4, 1, 3, 3, 1, 3, 4, 4, 4, 4, 3, 5, 4, 5, 1, 2, 1, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 3, 3, 5, 1, 3, 1, 1, 3, 5, 3, 2, 1, 5, 4, 5, 5, 5, 1, 3, 4, 4, 4, 4, 1, 5, 3, 3, 2, 1, 1, 4, 4, 5, 4, 2, 2, 4, 2, 3, 1, 4, 4, 3, 5, 4, 3, 3, 1, 2, 4, 1, 5, 4, 4, 4, 4, 1, 5, 1, 5, 5, 4, 4, 1, 4, 5, 1, 4, 1, 1, 3, 5, 5, 3, 4, 5, 1, 4, 3, 5, 2, 4, 4, 4, 3, 4, 4, 2, 5, 3, 4, 4, 3, 1, 4, 4, 5, 4, 2, 4, 4, 5, 3, 1, 1, 1, 1, 5, 1, 4, 4, 4, 1, 4, 4, 2, 4, 5, 1, 4, 4, 5, 2, 2, 5, 3, 5, 4, 1, 3, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 2, 3, 5, 5, 1, 1, 4, 4, 4, 5, 5, 4, 2, 5, 5], "5799": [4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 3, 5, 4, 2, 3, 5], "833": [5, 4, 5, 3, 5, 3, 2, 4, 4, 5, 2, 5, 4], "4091": [1, 4, 4, 4, 1, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 1, 3, 4, 5, 4, 4, 3, 3, 2, 4, 2, 3, 3, 5, 3, 5, 2, 5, 3, 4, 5, 2, 4, 3, 4, 4, 4, 1, 4, 4, 3, 4, 2, 1, 4, 1, 3, 2, 5, 4, 4, 4, 3, 3, 4, 4, 4, 2, 2, 4, 4, 4, 2, 4, 5, 4, 3, 2, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 5, 5, 3], "1666": [3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 5, 3, 5, 3, 4, 2, 4, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 5, 2, 4, 5, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 3, 5, 4, 3, 4, 3, 4, 2, 3, 4, 4, 2, 2, 4, 2, 4, 5, 5, 4, 2, 4, 4, 2, 2, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 4, 4, 3, 2, 5, 3, 2, 3, 3, 4, 3, 3, 2, 4, 1, 3, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 5, 4, 3, 4, 4, 2, 4, 3, 3, 5, 2, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 2, 4, 4, 2, 4], "272": [5, 3, 4, 4, 5, 4, 5, 5, 2, 4, 5, 5, 2, 5, 4, 5, 4, 5, 4, 5, 1, 3, 4, 4, 4, 5, 4, 3, 5, 3, 1, 5, 5, 5, 4, 4, 5, 4, 5, 3, 3, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 1, 5, 3, 4, 1, 5, 4, 3, 5, 5, 5, 2, 5, 3, 5, 5, 5, 3, 5, 5, 4, 5, 4, 4, 2, 4, 5, 3, 4, 5, 4, 3, 4, 5, 1, 5, 4, 4, 5, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 5, 5, 4, 3, 1, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 3, 3, 5, 2, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 2, 4, 4, 4, 5, 2, 4, 4, 1, 4, 1, 1, 1, 1, 2, 2, 1, 4, 3, 5, 1, 3, 5, 4, 5, 4, 3, 2, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 4, 1, 1, 3, 5, 5, 3, 5, 1, 3, 1, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 2, 3, 2, 1, 2, 3, 4, 5, 5, 1, 2, 5, 4, 1, 4, 3, 5, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 4, 2, 4, 4, 1, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 2, 5, 4, 4, 5, 5, 2, 4, 2, 4, 2, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 2, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 2, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 1, 5, 4, 4, 4, 2, 5, 1, 4, 5, 3, 4, 2, 5, 5, 4, 2, 5, 5, 5, 5, 4, 2, 3, 5, 1, 1, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 3, 5, 5, 3, 5, 4], "6035": [1, 3, 1, 1, 4, 1, 2, 1, 3, 3, 4, 2, 1, 3, 1, 2, 5, 3, 3, 1, 3, 1, 4, 2, 1, 4, 1, 2, 4, 1, 3, 2, 1, 4, 1, 3, 4, 1, 3, 3, 4, 5, 5, 2, 4, 3, 5, 5, 4, 1, 4, 4, 1, 5, 5, 5, 5, 1, 1, 5, 1, 2, 2, 4, 5, 1, 2, 4, 1, 4, 5, 1, 1, 1, 5, 4, 2, 5, 5, 1, 4, 1, 4, 5, 1, 2, 2, 1, 2, 4, 1, 2, 4, 1, 3, 5, 1, 3, 1, 3, 1, 1, 5, 4, 1, 2, 5, 1, 3, 1, 3, 3, 5, 2, 1, 4, 1, 1, 5, 3, 4, 3, 4, 2, 1, 2, 1, 1, 1, 5, 4, 5, 1, 3, 1, 4, 4, 5, 1, 3, 2, 3, 5, 2, 2, 3, 3, 1, 4, 2, 1, 1, 1, 2, 4, 1, 1, 3, 5, 3, 2, 3, 1, 1, 4, 5, 1, 2, 4, 1, 5, 4, 4, 4, 5, 4, 4, 3, 5, 3, 3, 5, 1, 1, 2, 5, 1, 4, 1, 3, 1, 2, 4, 4, 3, 1, 4, 1, 3, 4, 1, 1, 3, 4, 2, 1, 1, 1, 3, 5, 1, 4, 1, 1, 5, 1, 1, 5, 3, 5, 3, 1, 2, 1, 2, 2, 2, 4, 5, 1, 2, 4, 1, 4], "4364": [2, 3, 3, 2, 4, 3, 3, 2, 3, 3, 3, 1, 2, 3, 4, 2, 2, 3, 4, 3, 3, 2, 2, 5, 5, 5, 5, 4, 3, 4, 2, 4, 3, 4, 4, 5, 2, 1, 5, 3, 2, 3, 4, 3, 3, 4, 4, 2, 3, 4, 2, 5, 5, 5, 5, 4, 5, 2, 2, 4, 4, 2, 5, 3, 2, 3, 2, 2, 2, 5, 5, 4, 3, 2, 2, 5, 3, 3, 3, 3, 4, 3, 5, 4, 1, 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 5, 4, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 5, 4, 4, 2, 3, 4, 2, 4, 4, 3, 4, 4, 4, 2, 4, 2, 4, 3, 2, 3, 3, 4, 4, 3, 2, 2, 3, 1, 3, 2, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 5, 3, 3, 2, 2, 5, 3, 3, 2, 2, 1, 1, 3, 1, 3], "943": [4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 2, 4, 4, 5, 4, 4, 4, 3, 5, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 3, 5, 3, 5], "3578": [5, 3, 4, 3, 5, 2, 5, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 2, 2, 4, 3, 2, 2, 4, 3, 3, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 2, 3, 4, 5, 4, 5, 4, 3, 3, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 3, 2, 2, 2, 3, 4, 4, 4, 3, 3, 4, 1, 2, 2, 4, 4, 3, 4, 3, 2, 4, 1, 2, 2, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 1, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 4, 2, 3, 4, 3, 4, 4, 3, 5, 1, 2, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 4, 4, 2, 2, 3, 1, 4, 5, 4, 5, 4, 3, 3, 3, 4, 2, 3, 1, 2, 4, 3, 4, 3, 3, 2, 3, 5, 2, 4, 3, 4, 3, 4, 3, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 2, 3, 3, 4, 2, 5, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5], "411": [3, 3, 3, 3, 3, 4, 4, 4, 1, 4, 5, 3, 1, 5, 4, 3, 4, 3, 3, 4, 5, 4, 5, 4, 4, 3, 3, 1, 4, 3, 5, 2, 4, 5, 3, 4, 3, 3, 2, 4, 4, 4, 5, 5, 3, 5, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 1, 1, 2, 3, 1, 5, 3, 3, 4, 3, 3, 5, 2, 4, 3, 5, 3, 4, 2, 3, 4, 4, 2, 3, 3, 3, 5, 4, 2, 2, 3, 4, 5, 4, 2, 4, 4, 3, 3, 3, 5, 3, 3, 2, 3, 3, 4, 2, 4, 4, 2, 5, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 5, 2, 2, 3, 1, 1, 3, 3, 3, 2, 4, 4, 2, 1, 3, 3, 3, 4, 5, 4, 3, 3, 4, 5, 3, 3, 4, 5, 2, 2, 5, 4, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 4, 4, 3, 3, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 3, 4, 5, 3, 4, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 1, 2, 3, 2, 4, 4, 2, 1, 5, 2, 3, 4, 3, 1, 5, 2, 2, 4, 4, 4, 4, 2, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 2, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 5, 2, 4, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 2, 4, 3, 2, 3, 3, 4, 5, 4, 3, 4, 2, 5, 1, 3, 3, 4, 3, 5, 3, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 4, 4, 3, 4, 5, 2, 3, 1, 3, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 3, 2, 2, 3, 4, 2, 1, 2, 2, 3, 3, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 2, 3, 5, 3, 2, 3, 1, 3, 4, 3, 4, 5, 3, 3, 4, 3, 3, 4, 3, 4, 2, 2, 5, 3, 4, 2, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 1, 3, 3, 4, 1, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 2, 3, 3, 4, 4, 3, 3, 4, 3, 5, 3, 2, 3, 5, 3, 4, 2, 3, 3, 4, 4, 3, 3, 3, 3, 1, 2, 4, 2, 2, 3, 3, 2, 5, 5, 2, 4, 4, 3, 4, 5, 2, 3, 2, 4, 5, 5, 2, 4, 4, 3, 3, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 3, 3, 5, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 2, 4, 5, 3, 4, 1, 2, 3, 4, 3, 4, 4, 5, 5], "1354": [4, 4, 3, 2, 4, 5, 2, 5, 3, 4, 4, 3, 3, 2, 4, 4, 3, 5, 3, 3, 4, 4, 1, 3, 4, 3, 2, 4, 5, 3, 4, 3, 5, 3, 4, 4, 1, 2, 3, 5, 2, 3, 3, 3, 2, 2, 5, 2, 5, 4, 3, 4, 4, 2, 4, 5, 2, 3, 5, 3, 3, 4, 4, 5, 4, 2, 4, 3, 4, 2, 4, 4, 3, 3, 2, 4, 3, 3, 4, 5, 2, 4, 2, 5, 3, 2, 5, 3, 2, 2, 2, 3, 3, 3, 2, 5, 3, 5, 4, 2, 4, 3, 2, 4, 4, 5, 5, 4, 3, 3, 5, 3, 2, 3, 5, 2, 3, 4, 2, 3, 2, 3, 5, 5, 5, 4, 4, 4, 1, 2, 4, 3, 2, 4, 4, 2, 5, 3, 1, 4, 3, 2, 4, 4, 3, 4, 3, 4, 2, 3, 3, 2, 4, 5, 1, 3, 5, 4, 3, 2, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 4, 4, 3, 2, 2, 5, 5, 4, 2, 2, 4, 4, 3, 5, 4, 3, 5, 3, 4, 2, 3, 3, 5, 3, 2, 3, 2, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 2, 5, 3, 4, 3, 3, 4, 3, 5, 5, 5, 2, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 2, 4, 2, 2, 4, 4, 5, 3, 5, 4, 4, 5, 3, 2, 4, 4, 2, 5, 5, 2, 4, 5, 5, 4, 3, 2, 4, 3, 3, 5, 3, 3, 2, 4, 4, 3, 4, 3, 4, 2, 1, 3, 4, 5, 2, 5, 4, 3, 4, 5, 1, 4, 3, 4, 3, 5, 2, 1, 4, 4, 2, 3, 3, 2, 4, 4, 3, 3, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 2, 4, 4, 4, 2, 5, 5, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 5, 5, 5, 3, 4, 3, 3, 3, 5, 5, 2, 5, 2, 5, 4, 2, 4, 3, 3, 3, 2, 3, 2, 2, 3, 5, 4, 4, 2, 4, 3, 3, 4, 2, 3, 5, 4, 3, 4, 4, 5, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 4, 2, 2, 3, 2, 3, 4, 5, 2, 5, 2, 2, 4, 2, 4, 3, 5, 2, 5, 3, 4, 2, 4, 4, 4, 3, 3, 5, 4, 5, 4, 2, 2, 2, 3, 4, 3, 3, 5, 4, 3, 3, 2, 3], "2621": [4, 4, 2, 5, 4, 2, 5, 4, 3, 3, 4, 4, 4, 1, 3, 3, 4, 2, 3, 4, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 4, 4, 3, 2, 4, 1, 2, 5, 4, 3, 1, 2, 4, 5, 1, 3, 2, 3, 3, 4, 3, 3, 4, 2, 1, 3, 4, 3, 1, 2, 2, 2, 3, 3, 1, 5, 4, 2, 4, 3, 1, 4, 2, 3, 4, 2, 3, 4, 1, 1, 4, 4, 5, 3, 4, 4, 3, 2, 3, 2, 3, 3, 1, 2, 4, 3, 3, 2, 2, 1, 5, 5, 4, 2, 2, 2, 3, 3, 3, 2, 3, 3, 4, 5, 2, 3, 4, 3, 4, 2, 3, 3, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 4, 4, 5, 3, 3, 5, 4, 4, 3, 1, 4, 2, 4, 3, 4, 2, 5, 2, 5, 4, 4, 5, 4, 3, 5, 2, 4, 3, 1, 2, 5, 2, 2, 3, 1, 3, 4, 2, 3, 4, 1, 3, 3, 1, 3, 1, 2, 3, 2, 5, 1, 1, 2, 1, 5, 5, 3, 3, 3, 3, 3, 1, 3, 1, 4, 4, 3, 4, 4, 4, 1, 5, 3, 4, 3, 2, 4, 3, 1, 1, 3, 3, 1, 5, 3, 3, 4, 3, 2, 3, 5, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 2, 2], "4827": [4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 5, 5, 3, 3, 3, 3, 1, 4, 4, 4, 3, 4, 2, 4, 5, 2, 4, 3, 4, 2, 4, 3, 3, 3, 2, 4, 4, 3, 4, 3], "5012": [5, 3, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 3, 3, 4, 3], "5225": [3, 1, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 5, 4, 3, 3, 5, 2, 2, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 3, 2, 4, 3, 5, 4, 3, 2, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 5, 3, 5, 3, 3, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 3, 2, 5, 3, 4, 3, 4, 5, 4, 2, 3, 3, 5, 3, 3, 1, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 1, 3, 4, 3, 5, 4, 5, 2, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 2, 2, 4, 4, 4, 4, 2, 5, 5, 3, 3], "4864": [4, 3, 4, 3, 5, 5, 5, 4, 2, 4, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 3], "55": [5, 3, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 5, 3, 5, 3, 3, 5, 5, 4, 3], "130": [4, 5, 5, 4, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 5, 5, 2, 5, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 3, 2, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 4, 1, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 1, 5, 4, 5, 4, 4, 5, 1, 4, 3, 1, 5, 4, 5, 5, 5, 4, 5, 4], "2623": [5, 3, 5, 4, 3, 3, 4, 1, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 5, 4, 5, 5, 5], "4996": [2, 4, 4, 5, 3, 5, 5, 4, 3, 5, 3, 4, 4, 2, 5, 4, 4, 4, 4, 5, 2, 5], "4305": [4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 4, 3, 3, 4, 4, 3, 3, 2, 4, 3, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 2, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 2, 2, 3, 5, 4, 3, 3, 5, 2, 1, 2, 4, 4, 4, 5, 4, 4, 2, 4, 5, 3, 3, 4, 3, 5, 3, 5, 5, 5, 4, 3, 3, 4, 5, 4, 2, 3, 4, 4, 4, 5, 2, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 5, 3, 4, 4, 4, 4, 5, 5, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 4, 3, 3, 5, 5, 5, 3, 4, 3, 2, 3, 4, 4, 2, 5, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 3, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 3, 4, 5, 2, 2, 3, 2, 3, 4, 2, 3, 2, 3, 3, 5, 3, 3, 2, 4, 4, 3, 3, 5, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 2, 3, 5, 2, 4, 2, 2, 1, 4, 5, 4, 4, 5, 4, 3, 2, 5, 5, 5, 5, 3, 5, 4, 4, 3, 2, 3, 4, 3, 2, 5, 3, 5, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 3, 3, 5, 2, 5, 4, 2, 2, 5, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 3, 5, 4, 4, 5, 2, 4, 4, 5, 3, 5, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 2, 4, 3, 3, 2, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 2, 5, 4, 5, 4, 3, 3, 3, 3, 2, 4, 4, 3, 4, 2, 4, 3, 5, 5, 2, 4, 4, 1, 5, 3, 2, 3, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 2, 5, 3, 4, 4, 3, 5, 5, 3, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 5, 4, 5, 4, 4, 5, 2, 4, 2, 5, 3, 5, 3, 4, 2, 4, 4, 5, 3, 3, 5, 2, 2, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 3, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 2, 1, 2, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 2, 5, 4], "1376": [4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 4], "5308": [4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 4, 3, 2, 3, 5, 2, 5, 3, 4, 3], "4123": [2, 3, 3, 5, 3, 5, 2, 4, 3, 5, 2, 5, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 2, 4, 3, 4, 5, 2, 3, 4, 3, 4, 5, 2, 3, 4, 2, 3, 5, 5, 4, 5, 4, 3, 2, 5, 3, 2, 3, 4, 3, 3, 4, 5, 2, 3, 4, 2, 2, 4, 3, 3, 3, 4, 3, 4, 2, 4, 5, 3, 3, 5, 2, 2, 2, 5, 2, 5, 3, 3, 2, 3, 4, 3, 3, 2, 4, 3, 4], "2901": [4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 2, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 2, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3], "3133": [3, 4, 4, 3], "3280": [3, 4, 3, 4, 3, 1, 4, 4, 4, 3, 5, 3, 1, 1, 2, 4, 2, 1, 3, 3, 4, 5, 3, 3, 2, 2, 4, 5, 1, 1, 4, 2, 2, 5, 4, 4, 2, 1, 3, 3, 2, 5, 5, 2, 2, 2, 2, 1, 3, 3, 5, 4, 2, 2, 4, 2, 3, 2, 1, 1, 4, 3, 5, 2, 3, 5, 2, 4, 4, 3, 2, 4, 3, 4, 2, 4, 3, 3, 1, 2, 2, 2, 4, 3, 1, 4, 3, 3, 3, 5, 2, 1, 1, 1, 3, 2, 2, 3, 1, 1, 4, 5, 5, 2, 2, 4, 3, 1, 1, 2, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 5, 3, 1, 4, 2, 3, 4, 4, 2, 1, 2, 2, 4, 3, 2, 3, 1, 2, 4, 4, 3, 5, 2, 1, 1, 5, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 3, 3, 2, 3, 2, 5, 1, 2, 2, 3, 3, 1, 4, 5, 2, 1, 4, 1, 2, 3, 2, 4, 1, 1, 1, 2, 5, 5, 4, 3, 3, 2, 1, 4, 3, 1, 4, 4, 1, 5, 4, 2, 4, 3, 5, 2, 3, 3, 2, 3, 2, 4, 3, 4, 1, 2, 2, 3, 1, 4, 3, 2, 4, 1, 1, 3, 2, 4, 3, 2, 3, 3, 3, 2, 4, 3, 3, 2, 2, 2, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 2, 5, 3, 4, 2, 1, 5, 3, 3, 4, 4, 1, 3, 3, 4, 3, 1, 1, 3, 4, 3, 2, 2, 3, 4, 1, 2, 1, 4, 1, 2, 1, 5, 2, 4, 3, 5, 2, 3, 2, 2, 3, 3, 3, 1, 1, 2, 4, 1, 2, 3, 2, 2, 5, 4, 2, 2, 2, 5, 1, 1, 1, 3, 1, 4, 1, 1, 3, 3, 4, 1, 5, 3, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 5, 3, 3, 5, 5, 2, 1, 3, 3, 2, 2, 2, 2, 2, 4, 3, 3, 3, 5, 1, 1, 2, 4, 1, 2, 1, 2, 2, 2, 2, 4, 2, 3, 5, 2, 4, 2, 3, 2, 5, 3, 1, 3, 4, 4, 2, 1, 3, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 2, 3, 3, 2, 3, 4, 4, 2, 4, 2, 5, 3, 3, 3, 3, 3, 5, 4, 2, 1, 4, 3, 2, 4, 2, 2, 4, 2, 2, 2, 4, 5, 1, 3, 3, 2, 4, 2, 2, 2, 4, 2, 2, 4, 3, 5, 3, 2, 1, 2, 2, 4, 3, 1, 2, 2, 5, 4, 5, 1, 2, 2, 2, 3, 1, 1, 4, 4, 4, 4, 3, 5, 5, 3, 2, 2, 5, 4, 3, 5, 3, 3, 4, 4, 3, 3, 4, 1, 5, 5, 4, 1, 4, 1, 3, 3, 3, 3, 2, 4, 3, 5, 5], "4932": [4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 3, 2, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 2, 5, 4, 3, 5, 2, 4, 1, 5, 2, 5, 4, 5, 5, 4, 4, 4, 2, 5, 3, 3, 4, 2, 4, 3, 2, 5, 5, 4, 2, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 3, 2, 5, 4, 5, 2, 3, 4, 3, 3, 4, 5, 5, 5, 3, 5, 3, 5, 4, 4, 5, 3, 4, 4, 2, 3, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 4, 5, 4, 5, 5, 1, 5, 2, 1, 3, 4, 4, 3, 5, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 2, 5, 5, 5, 4, 5, 4, 5, 2, 5, 4, 3, 2, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 2, 5, 4, 4, 3, 4, 5, 3, 4, 3, 1, 3, 2, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 2, 5, 5, 4, 2, 4, 3, 5, 4, 5, 5, 4, 4, 5, 5, 2, 4, 5, 2, 4, 2, 1, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 2, 5, 5, 4, 3, 5, 2, 3, 5, 5, 5, 4, 3, 5], "5579": [4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 2, 5, 4, 5, 5], "4170": [5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 5, 5, 2, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 1, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 5, 4, 2, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 3, 2, 3, 2, 3, 5, 4, 1, 4, 2, 3, 3, 5], "1974": [4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 3, 5, 3, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 3, 5, 3, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 1, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 5, 5, 5, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 3, 4, 1, 2, 4, 4, 4, 5, 3, 3, 1, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 2, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 5, 5, 3, 3, 5, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 2, 2, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 5, 2, 2, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4], "5730": [4, 5, 3, 5, 3, 1, 3, 5, 2, 5, 5, 4, 2, 2, 2, 4, 2, 5, 4, 3, 5, 1, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 4, 5, 3, 4, 5, 3, 2, 1, 3, 5, 4, 4, 3, 3, 3, 3, 2, 3, 5, 3, 4, 3, 4, 4, 2, 4], "1572": [3, 5, 2, 4, 5, 1, 2, 1, 2, 4, 2, 3, 2, 4], "1898": [2, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5], "4713": [4, 3, 5, 4, 5, 2, 3, 5, 5, 5, 3, 4, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 5, 3, 2, 1, 2, 4, 4, 4, 5], "3298": [5, 4, 4, 5, 2], "1704": [5, 3, 5, 5, 4, 4, 5, 1, 3, 3, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 2, 5, 3, 4, 5, 5, 5, 4], "968": [4, 4, 4, 5, 4, 5, 4, 3, 5, 3, 3, 5, 4, 5, 5, 5, 5, 2, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 2, 4, 5, 4], "5560": [4, 5, 5, 4, 5, 5, 5, 4, 1, 4, 4, 4, 5, 5, 5, 4, 5, 5, 4, 1, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 3, 3, 4, 3, 5, 4, 5, 5, 5, 5, 1, 5, 3, 5, 4, 4, 5, 3, 4, 4, 1, 4, 5, 1, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 1, 5, 5, 4], "2377": [4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 2, 3, 4, 5], "367": [4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4], "84": [5, 5, 5, 1, 2, 4, 5, 1, 2, 5, 5, 5, 3, 2, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3], "5580": [4, 5, 2, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 1, 5, 3, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5, 5, 3, 5, 4, 3, 5, 3, 4, 5, 5, 5, 4, 5, 2, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 3, 5, 5, 5, 5, 4, 5, 5, 4, 2, 4, 5, 3, 3, 5, 5, 5, 3, 4, 5, 4, 5, 3, 2, 3, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 5, 4, 3, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 5, 3, 4, 4, 3, 3, 5, 3, 5, 4, 4, 5, 5, 3, 5, 4, 4, 2, 4, 4, 3, 2, 3, 3, 4, 5, 3, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 4, 4, 5, 3, 5, 2, 5, 3, 5, 5, 5, 3, 3, 2, 3, 4, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 3, 2, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 5, 5, 4, 4, 2, 3, 1, 3, 3, 3, 5, 5, 5, 4, 2, 5, 5, 4, 5, 3, 3, 3, 5, 4, 4, 4, 2, 5, 3, 3, 5, 5, 5, 3, 4, 5, 3, 4, 2, 4, 3, 5, 5, 4, 5, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 2, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 5, 5, 2, 5, 4, 4, 5, 4, 3, 3, 5, 3, 3, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4], "731": [5, 5, 5, 3, 4, 3, 5, 3, 3, 4, 5, 3, 4, 3, 3, 5, 5, 5, 4, 3, 3, 5, 5, 5, 3, 5, 2, 2, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 2, 4, 2, 4, 5, 5, 5, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 1, 4, 3, 3, 5, 3, 5, 5, 4, 4, 4, 3, 3, 5, 3, 4, 5, 3, 3, 3, 3, 3, 5, 5, 5, 4, 3, 5, 4, 5, 2, 5, 3, 3, 4, 3, 4, 5, 5, 5, 3, 5, 3, 5, 3, 4, 5, 1, 1, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 3, 1, 5, 4, 1, 1, 3, 4, 2, 4, 5, 2, 2, 4, 5, 5, 2, 1, 5, 3, 4, 5, 4, 3, 1, 3, 2, 4, 2, 3, 5, 3, 4, 5, 3, 3, 4, 2, 3, 5, 3, 4, 5, 3, 4, 4, 4, 4, 5, 5, 5, 3, 4, 2, 5, 3, 5, 5, 4, 3, 5, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 5, 4, 5, 2, 4, 4, 5, 5, 5, 3, 2, 4, 5, 3, 3, 4, 1, 5, 4, 1, 1, 5, 3, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 2, 5, 4, 4, 5, 4, 3, 3, 5, 3, 4, 5, 3, 5, 3, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 5, 2, 5, 3, 4, 3, 3, 4, 5, 5, 4, 4, 3, 5, 3, 2, 5, 3, 3, 3, 2, 2, 2, 2, 5, 3, 4, 4, 5, 5, 4, 2, 3, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 3, 4, 1, 5, 5, 1, 2, 4, 4, 3, 3, 3, 5, 5, 3, 5, 5, 5, 3, 3, 4, 3, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 5, 2, 3, 5, 4, 3, 2, 3, 3, 4, 4, 1, 5, 1, 5, 2, 4, 3, 3, 1, 4, 3, 4, 3, 5, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 3, 4, 3, 3, 5, 5, 5, 4, 3, 4, 5, 3, 5, 4, 3, 4, 4, 4, 2, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 1, 5, 4, 3, 4, 3, 3, 5, 3, 3, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 5, 3, 5, 2, 5, 2, 4, 3, 4, 2, 5, 4, 4, 5, 5, 3, 3, 3, 3, 3, 4, 5, 5], "3929": [3, 2, 2, 3, 5, 3, 4, 3, 5, 4, 3, 2, 3, 5, 4, 5, 3, 5, 4, 5, 3, 3, 3, 3, 4, 1, 5, 2, 3, 2, 3, 2, 3, 5, 1, 5, 2, 2, 1, 4, 4, 1, 1, 5, 3, 2, 1, 3, 2, 2, 2, 3, 4, 1, 2, 4, 3, 4, 5, 4, 3, 2, 4, 4, 4, 2, 3, 2, 4, 2, 3, 1, 1, 2, 2, 4, 3, 3, 4, 2, 4, 3, 4, 2, 2, 4, 3, 2, 3, 3, 3, 3, 2, 3, 1, 2, 5, 5, 5, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 4, 3, 2, 3, 3, 4, 2, 5, 1, 1, 3, 3, 1, 4, 5, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 4, 3, 2, 2, 3, 1, 3, 3, 4, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 4, 4, 2, 4, 1, 1, 2, 3, 2, 3, 2, 4, 2, 3, 3, 3, 3, 4, 2, 2, 2, 2, 4, 3, 3, 3, 1, 5, 2, 3, 3, 2, 3, 2, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 2, 2, 4, 2, 2, 2, 2, 4, 4, 1, 3, 5, 2, 4, 5, 4, 3, 4, 3, 4, 3, 2, 4, 4, 3, 2, 3, 3, 3, 2, 3, 1, 4, 3, 2, 5, 4, 3, 4, 1, 3, 4, 2, 1, 3, 4, 4, 2, 2, 2, 4, 2, 2, 3, 2, 4, 3, 2, 1, 2, 4, 4, 2, 3, 3, 5, 4, 4, 3, 5, 3, 4, 5, 2, 2, 1, 2, 3, 1, 2, 1, 4, 4, 3, 4, 4, 3, 3, 3, 5, 4, 5, 3, 4, 4, 2, 1, 1, 4, 5, 5, 1, 5, 3, 1, 5, 3, 4, 2, 4, 2, 1, 4, 4, 2, 3, 5, 4, 3, 2, 5, 2, 5, 4, 2, 3, 5, 4, 3, 2, 5, 2, 4, 2, 2, 1, 5, 4, 2, 1, 3, 2, 3, 3, 3, 2, 3, 1, 3, 1, 3, 3, 3, 5, 4, 4, 2, 4, 4, 3, 3, 2, 3, 2, 2, 2, 1, 3, 2, 2, 4, 4, 5, 3, 2, 4, 2, 2, 4, 4, 4, 5, 3, 4, 4, 1, 2, 5, 1, 4, 3, 3, 5, 2, 2, 3, 2, 1, 3, 2, 3, 3, 4, 3, 3, 3, 3, 5, 2, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 1, 2, 2, 2, 2, 3, 2, 5, 5, 3, 5, 4, 2, 2, 3, 4, 3, 3, 4, 2, 3, 4, 5, 3, 2, 1, 3, 1, 2, 3, 4, 2, 1, 1, 3, 3, 2, 2, 5, 1, 3, 4, 3, 4, 3, 4, 1, 2, 4, 1, 4, 4, 2, 1, 5, 4, 3, 5, 2, 5, 5, 4, 3, 5, 3, 2, 2, 4, 3, 2, 4, 1, 4, 3, 3, 2, 5, 2, 5, 5, 5, 2, 5, 3, 2, 4, 1, 2, 3, 3, 4, 2, 3, 5, 2, 4, 1, 2, 4, 2, 4, 4, 2, 4, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 5, 2, 5, 4, 4, 2], "12": [3, 3, 4, 5, 5, 3, 5, 5, 5, 5, 2, 4, 3, 5, 5, 4, 4, 3, 4, 1, 3], "592": [3, 3, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5], "3671": [5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4], "3715": [4, 1, 5, 5, 5, 5, 5, 4, 1, 2, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 4, 5, 1, 5, 5, 5, 2, 3, 5, 4, 5, 5, 5, 1, 5, 4, 1, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 3, 1, 3, 5, 4, 3, 2, 4, 3, 2, 5, 4, 4, 4, 2, 1, 4, 2, 2, 3, 2, 3, 4, 4, 5, 5, 5, 2, 1, 1, 5, 4, 4, 5, 3, 5, 4, 2, 3, 5, 5, 3, 4, 3, 5, 3, 5, 5, 2, 2, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 1, 5, 3, 1, 5, 4, 5, 5, 5, 5, 2, 1, 5, 1, 5, 5, 5, 4, 3, 1, 4, 3, 5, 1, 4, 5, 5, 5, 4, 3, 3, 4, 2, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 3, 2, 1, 3, 5, 4, 4, 5, 3, 5, 1, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 3, 1, 3, 3, 4, 2, 4, 2, 5, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 1, 5, 4, 5, 5, 5, 4, 2, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3], "4395": [5, 3, 4, 3, 4, 3, 3, 2, 2, 5, 3, 4, 2, 4, 3, 2, 5, 4, 3, 1, 4, 5, 5, 4], "1429": [3, 4, 2, 3, 3, 3, 5, 2, 4, 3, 3, 3, 4, 4, 4, 2, 5, 2, 3], "2869": [4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 1, 1, 1, 4, 4, 5, 1, 2, 5, 3, 5, 4, 4, 4, 3, 5], "5381": [4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 5, 3, 5, 3, 5, 3, 4, 4, 5, 4], "1995": [4, 4, 5, 4, 5, 2, 5, 1, 5, 4, 5, 3, 4, 2, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 4, 5, 3, 4, 4, 3, 3, 5, 4, 3, 3, 5, 4, 4, 4, 5, 3, 5, 5, 3, 2, 5, 5, 5, 4, 4, 4, 4, 4, 2, 3, 2, 3, 5], "520": [4, 4, 5, 5, 4, 5, 4, 4, 4, 2, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 3, 4, 5, 5, 3, 5, 5, 4, 4, 3, 5, 4, 1, 4, 5, 2, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 2, 5, 3, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 2, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 4, 4, 2, 5, 5, 2, 1, 5, 4, 5, 5, 4, 5, 1, 4, 3, 3, 5, 5, 3, 4, 3, 3, 4, 3, 5, 2, 5, 4, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 5, 2, 3, 3, 3, 5, 5, 3, 5, 5, 2, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5], "3897": [5, 4, 5, 2, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 5, 4, 2, 2, 4, 5], "3771": [3, 2, 3, 2, 4, 1, 3, 5, 3, 2, 4, 4, 5, 5, 4, 2, 1, 1, 3, 3, 3, 1, 3, 3, 2, 2, 3, 1, 3, 3, 3, 4, 2, 1, 2, 5, 1, 2, 3, 3, 5, 4, 2, 4, 5, 2, 2, 2, 3, 2, 1, 5, 1, 4, 2, 3, 5, 3, 1, 3, 4, 3, 4, 1, 1, 2, 1, 3, 2, 1, 3, 1, 2, 1, 1, 3, 2, 2, 1, 1, 3, 3, 1, 3, 4, 3, 2, 3, 3, 1, 4, 5, 1, 4, 4, 2, 2, 4, 4, 3, 4, 3, 3, 1, 2, 2, 2, 1, 3, 4, 1, 5, 3, 5, 1, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 2, 3, 2, 1, 3, 3, 2, 2, 2, 3, 3, 2, 1, 1, 2, 1, 4, 3, 1, 2, 3, 2, 4, 3, 3, 4, 4, 3, 2, 3, 1, 3, 3, 1, 3, 3, 1, 3, 5, 1, 2, 2, 3, 1, 2, 4, 2, 1, 1, 4, 5, 2, 5, 4, 2, 2, 2, 5, 3, 2, 1, 3, 4, 3, 4, 4, 2, 3, 4, 3, 1, 2, 2, 3, 4, 5, 4, 1, 4, 3, 3, 3, 1, 3, 1, 3, 5, 3, 1, 5, 4, 2, 3, 4, 2, 3, 3, 2, 2, 5, 2, 1, 3, 4, 2, 1, 1, 3, 1, 1, 3, 3, 1, 3, 5, 1, 2, 3, 3, 3, 2, 4, 4, 5, 3, 3, 5, 3, 4, 2, 2, 1, 1, 1, 5, 2, 5, 3, 3, 3, 1, 3, 3, 3, 4, 1, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 3, 2, 4, 1, 1, 1, 4, 1, 3, 5, 4, 4, 2, 3, 2, 3, 2, 1, 2, 3, 3, 1, 2, 3, 2, 3, 1, 3, 2, 3, 3, 1, 3, 5, 2, 3, 3, 3, 4, 4, 1, 3, 3, 3, 3, 2, 4, 3, 1, 5, 2, 3, 1, 1, 2, 1, 3, 4, 4, 1, 1, 3, 3, 1, 2, 3, 4, 1, 3, 2, 2, 5, 1, 1, 3, 5, 1, 3, 4, 5, 2, 5, 3, 5, 4, 5, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 1, 3, 3, 5, 3, 3, 3, 1, 4, 1, 3, 3, 5, 5, 3, 4, 2], "3775": [4, 5, 2, 4, 5, 5, 3, 4, 4, 4, 3, 5, 3, 4, 3, 4, 2, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 5, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 3, 3, 3, 3, 5, 3, 4, 4, 2, 4, 2, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3], "472": [5, 5, 5, 5, 2, 4, 4, 2, 5, 4, 4, 5, 5, 2, 3, 4, 4, 5, 3, 5, 3, 3, 3, 5, 5, 5, 2, 4, 4, 2, 5, 5, 4, 5, 4, 4, 4, 5, 4], "1537": [4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3], "1233": [4, 5, 3, 5, 4, 2, 3, 1, 3, 3, 5, 3, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 3, 4, 3, 2, 5, 3, 2, 5, 5, 2, 5, 3, 4, 3, 5, 3, 4, 3, 5, 3, 4, 5, 1, 4, 5, 5, 5, 5, 5, 5], "4438": [4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 4, 2, 3, 3, 5, 5, 2, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 5, 1, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 3, 2, 3, 3, 4, 3, 1, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 5, 5, 3, 3, 4, 5, 3, 3, 3, 2, 3, 4, 3, 5, 4, 4, 3, 4, 5, 3, 5, 5, 5, 3, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5, 3, 5, 3, 4, 3, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 3, 2, 5, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 3], "2876": [3, 5, 4, 4, 4, 4, 1, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 2, 4, 4, 5, 3, 2, 4, 4, 5, 3, 3, 3, 5, 4, 2, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 5, 4, 5, 5, 5, 1, 3, 3, 3, 3, 3, 3, 2, 2, 2, 4, 2, 4, 4, 5, 4, 3, 4, 3, 2, 4, 4, 3, 4, 3, 5, 3, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 1, 5, 3, 4, 4, 2, 5, 5, 5, 3, 4, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 2, 3, 5, 3], "4252": [4, 5, 5, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 5, 3, 4, 2, 3, 2, 4, 4, 5, 3, 4, 2, 3, 5, 3, 3, 5, 4, 5, 4, 2, 4, 3, 3, 1, 4, 2, 3, 2, 2, 3, 3, 3, 3, 5, 2, 4, 4, 3, 3, 4, 2, 5, 5, 4, 4, 4, 2, 3, 4, 3, 2, 5, 4, 2, 3, 4, 2, 5, 4], "1313": [5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4], "2203": [5, 3, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 5, 5, 5, 4, 3, 3, 5, 2, 4, 5, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 3, 2, 3, 3, 5, 4, 3, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 3, 4, 5, 2, 5, 5, 4, 3, 3, 4, 3, 5, 4, 5, 5, 4, 4, 4, 3, 1, 5, 3, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 2, 4, 5, 3, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 3, 3, 2, 2, 5, 5, 2, 5, 3, 5, 4, 5, 3, 5, 5, 3, 4, 4, 3, 3, 3, 2, 4, 4, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 2, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 2, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 5, 5, 3, 3, 5, 4, 3, 3, 3, 5, 5, 4, 4, 3, 4, 2, 5, 3, 5, 5, 5, 5, 4, 5, 3, 1, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 3, 2, 2, 5, 4, 5, 5, 3, 3, 5, 2, 5, 4, 5, 2, 2, 3, 2, 5, 3, 4, 4, 4, 5, 4, 5, 3, 3, 5, 2, 5, 5, 5, 3, 4, 3, 2, 5, 3, 5, 3, 4, 4, 5, 5, 3, 4, 2, 4, 5, 4, 5, 4, 3, 5, 4, 3, 3, 3, 4, 5, 4, 3, 1, 4, 5, 4, 5, 5, 2, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 3, 5, 4, 3, 3, 1, 4, 4, 5, 5, 3, 2, 4, 5, 5, 3, 5, 5, 4, 3, 5, 3, 5, 4, 4, 2, 3, 4, 5, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 5, 4, 4, 4, 4, 2, 5, 5, 2, 4, 3, 5, 5, 5, 5, 3, 2, 3, 5, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 2], "3794": [2, 3, 1, 5, 4, 4, 3, 4, 3, 3, 2, 5, 4, 2, 2, 3, 3], "3927": [3, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 5, 3, 5, 3, 4, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 3, 5, 3, 2, 5, 4, 5, 3, 4, 5, 2, 4, 5, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 3, 3, 3, 5, 4, 4, 4, 2, 5, 5, 3, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 5, 2, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 5, 3, 5, 3, 5], "3007": [1, 1, 3, 4, 5, 4, 5, 2, 4, 2, 4, 1, 5, 5, 1, 1, 4, 3, 3, 5, 4, 5, 5, 5, 4, 1, 2, 1, 3, 5, 5, 1, 1, 4, 3, 1, 3, 1, 2, 3, 1, 2, 2, 5, 3, 4, 2, 3, 1, 5, 1, 3, 2, 1, 5, 2, 1, 2, 1, 3, 1, 2, 5, 1, 5, 3, 4, 1, 3, 1, 1, 1, 1, 1, 1, 3, 4, 5, 1, 4, 1, 3, 5, 3, 4, 2, 1, 4, 4, 2, 5, 4, 3, 3, 2, 1, 1, 1, 3, 5, 1, 1, 5, 4, 3, 4, 4, 2, 2, 2, 2, 5, 4, 3, 5, 4, 5, 5, 2, 1, 5, 1, 2, 4, 3, 5, 1, 2, 3, 4, 4, 1, 1, 3, 3, 4, 2, 2, 1, 3, 1, 1, 5, 1, 1, 5, 1, 3, 2, 2, 4, 1, 2, 3, 3, 4, 1, 2, 4, 2, 4, 3, 3, 1, 5, 4, 1, 1, 1, 4], "2095": [3, 4, 4, 4, 5, 3, 4, 4, 4, 1, 2, 2, 1, 5, 4, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 5], "3551": [1, 2, 4, 4, 3, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 5, 2, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 3, 5], "5010": [3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 1, 4, 5, 1, 5, 5, 5, 2, 3, 5, 3, 5, 2, 3, 4, 5, 3, 5, 5, 5, 5, 5, 1, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 1, 4, 5, 5], "949": [5, 3, 5, 2, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 3, 3, 5, 4, 5, 3, 3, 5, 4, 4, 5, 5, 3, 5, 4, 2, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 2, 5, 4, 4, 2, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 2, 4, 3, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 3, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 3, 4, 3, 5, 3, 5, 5, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 3, 5, 4, 5, 3, 5, 4, 5, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 3, 4, 3, 5, 3, 5, 3, 2, 3, 3, 5, 5, 5, 4, 5, 4, 5, 2, 5, 3, 3, 2, 4, 4, 3, 2, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 3, 3, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 3, 5, 3, 5, 4, 4, 3, 4, 2, 5, 5, 4, 1, 5, 5, 5, 4, 4, 3], "512": [5, 3, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 3, 3, 3], "4796": [4, 5, 4, 2, 4, 4, 4, 3, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 5, 1, 3, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 2, 4, 3, 2, 5, 4, 5, 4, 3, 4, 3, 5, 4, 5, 4, 4, 1, 4, 3, 3, 4, 4, 3, 5, 5, 3, 5, 3, 4, 5, 4, 3, 2, 4, 4, 1, 2, 4, 3, 3, 2, 1, 3, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 3, 5, 4, 4, 3, 4, 2, 4, 5, 3, 3, 3, 3, 3, 2, 3, 4, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 5, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 2, 3, 1, 4, 3, 3, 5, 3, 5, 3, 4, 4, 4, 3, 4, 3, 3, 2, 5, 5, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 4, 3, 3, 3, 4, 4, 1, 4, 3, 4, 4, 2, 3, 3, 2, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 2, 2, 4, 3, 4, 3, 4, 4, 4, 5, 1, 3, 5, 3, 5, 3, 3, 4, 5, 3, 5, 4, 4, 3, 4, 3], "2584": [4, 4, 4, 3, 3, 3, 2, 3, 4, 4, 3, 5, 4, 4], "3980": [3, 2, 3, 4, 2, 2, 4, 4, 2, 5, 3, 2, 2, 3, 4, 2, 5, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 4, 4], "1417": [4, 4, 4, 4, 5, 5, 5], "2058": [3, 3, 5, 4, 3, 4, 4, 4, 2, 4, 4, 3, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 1, 2, 3, 3, 5, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4], "1082": [4, 5, 3, 5, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 2, 4, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 3, 5, 5], "2945": [5, 5, 3, 3, 4, 3, 3, 4, 2, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 2, 4, 1, 4, 1, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 2, 5, 3, 5, 5, 4, 3, 5, 4, 4, 4, 2], "1773": [4, 4, 4, 4, 4, 2, 5, 1, 3, 4, 1, 2, 3, 1, 4, 2, 3, 4, 5, 5, 3, 4, 4, 1, 5, 3, 5, 5, 2, 3, 3, 4, 5, 5, 5, 2, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 1], "5672": [5, 2, 4, 1, 4], "5757": [2, 3, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 4, 5, 4, 5, 2, 4, 5, 4, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 4, 5, 2, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 2, 1, 2, 5, 4, 4, 5, 5, 3, 4, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3], "128": [5, 5, 4, 5, 5, 4, 4, 4, 5, 3, 3, 5, 5, 3, 5, 2, 5, 4, 5], "5491": [5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 2, 3, 3, 5, 4, 1, 4, 5, 4, 4, 2, 5, 1, 4, 5, 5, 3, 3, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 1, 2, 2, 2, 5, 3, 3, 3, 5, 4, 3, 2, 3, 5, 5, 2, 2, 5, 5, 5, 3, 5, 4, 3, 2, 3, 3, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 2, 3, 5, 3, 4, 2, 5, 5, 4, 4, 5, 3, 3, 4, 2, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 1, 4, 1, 3, 4, 5, 2, 5, 3, 4, 5, 3, 3, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 1, 4, 1, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 3, 4, 3], "1207": [2, 1, 1, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 1, 3, 1, 4, 1, 4, 5, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 3, 1, 2, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 3, 2, 4, 1, 2, 4, 2, 2, 1, 1, 1, 3, 4, 2, 4, 3, 4, 2, 3, 2, 3, 3, 3, 4, 1, 3, 2, 2, 3, 2, 2, 3, 2, 2, 1, 3, 2, 4, 3, 1, 2, 2, 2, 3, 2, 2, 3, 2, 3, 4, 3, 3, 1, 3, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 1, 1, 4, 1, 2, 1, 1, 2, 1, 3, 2, 1, 2, 4, 1, 2, 2, 2, 3, 2, 2, 2, 4, 1, 2, 3, 2, 1, 4, 1, 2, 4, 3, 2, 3, 3, 1, 2, 2, 4, 3, 1, 2, 1, 2, 1, 2, 2, 1, 1, 4, 1, 4, 1, 2, 2, 1, 1, 3, 5, 2, 3, 3, 3, 3, 1, 4, 1, 1, 3, 2, 1, 2, 2, 4, 3, 1, 3, 3, 5, 3, 1, 3, 1, 2, 2, 2, 3, 1, 1, 1, 2, 2, 1, 5, 3, 2, 3, 4, 4, 1, 2, 3, 3, 1, 2, 2, 1, 3, 4, 1, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 2, 2, 3, 2, 3, 1, 4, 1, 1, 1, 1, 1, 2, 3, 3, 2, 3, 2, 2, 1, 1, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 3, 3, 2, 4, 2, 1, 2, 1, 1, 4, 3, 3, 2, 2, 3, 5, 3, 5, 3, 2, 2, 3, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 2, 4, 4, 4, 3, 2, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 4, 4, 4, 3, 2, 4, 1, 3, 3, 1, 4, 1, 1, 2, 2, 1, 2, 1, 3, 2, 2, 3, 1, 5, 3, 2, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 1, 2, 3, 2, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 1, 2, 1, 3, 2, 1, 5, 5, 3, 3, 2, 2, 1, 4, 1, 1, 4, 1, 1, 4, 1, 3, 3, 3, 2, 1, 2, 1, 2, 1, 2, 5, 1, 2, 2, 2, 3, 4, 2, 2, 4, 3, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 4, 3, 3, 3, 1, 1, 1, 3, 5, 4, 3, 3, 1, 1, 3, 2, 4, 3, 1, 3, 2, 1, 2, 3, 2, 4, 4, 2, 4, 2, 2, 4, 2, 3, 2, 2, 3, 3, 1, 5, 1, 3, 3, 4, 3, 3, 3, 1, 1, 1, 1, 2, 3, 3, 5, 2, 3, 4, 3, 4, 3, 3, 4], "4885": [5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5], "3118": [3, 4, 5, 3, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 2, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 3, 4, 3, 5, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 5, 3, 5, 4, 2, 2, 4, 3, 4, 5, 5, 5, 4, 4, 2, 5, 3, 3, 5, 3, 3, 2, 4, 4, 2, 2, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 3, 3, 2, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 2, 2, 2, 4, 2, 3, 1, 4, 2, 4, 5, 5, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 5, 4, 4, 4, 3, 1, 5, 3, 4, 2, 4, 3, 5, 3, 3, 3, 4, 3, 2, 3, 5, 3, 4, 2, 2, 2, 2, 4, 1, 4, 3, 3, 4, 5, 3, 3, 4, 2, 3, 4, 3, 3, 5, 4, 3, 3, 3, 3, 5, 3, 3, 5, 3, 3, 2, 3, 3, 2, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 2, 3, 3, 5, 4, 3, 3, 4, 4, 3, 2, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 5, 2, 4, 4, 3, 3, 4, 2, 5, 4, 4, 5, 4, 3, 3, 5, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 2, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 1, 3, 2, 3, 2, 4, 5, 5, 2, 2, 4, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 2, 5, 3, 3, 3, 4, 3, 5, 5, 3, 4, 3, 2, 3, 2, 3, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 1, 3, 2, 3, 3, 5, 3, 4, 4, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 4, 3, 4, 5, 3, 4, 5, 3, 3, 5, 3, 4, 5, 2, 3, 5, 4, 4, 3, 5, 2, 3, 4, 4, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 5, 2, 3, 3, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 5, 3, 2, 4, 2, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 2, 3, 3, 4, 3, 3, 3, 1, 4, 3, 5], "2499": [3, 3, 3, 4, 5, 2, 5, 5, 4, 3, 3, 2, 3, 5, 4, 5, 3, 4, 4, 5, 5, 3, 3], "809": [5, 5, 4, 3, 2, 3, 3, 5, 5, 5, 1, 5, 5, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 5, 1, 3, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 4, 3, 4, 5, 5, 3, 4, 5, 5, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5], "3326": [5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 1, 3], "5013": [2, 4, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 4, 5, 3, 4, 4, 4, 2, 2, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4], "3467": [3, 5, 5, 5, 5, 5, 4, 4, 2, 3, 4, 2, 4, 3, 4, 3, 5, 2, 5, 2, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 5, 5, 5], "1997": [4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 5, 4], "3498": [1, 4, 3, 5, 4, 5, 3, 2, 5, 1, 5, 5, 1, 5, 4, 4, 4, 3, 5, 5, 4, 1, 2, 1, 5, 4, 3, 2, 5, 5, 5, 5, 3, 2, 5, 3, 4, 5, 4, 4, 4, 1, 4, 3, 5, 4, 1, 3, 5, 3, 2, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 2, 5, 5, 1, 1, 5, 5, 3, 3, 5, 4, 5, 4, 1, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 3, 1, 3, 1, 1, 5, 4, 5], "1447": [2, 4, 5, 2, 3, 4, 3, 3, 4, 3, 5, 2, 3, 5, 4, 1, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 2, 5, 2, 4, 4, 3, 5, 4, 4, 5, 2, 5, 3, 5, 4, 5, 3, 4, 3, 2, 1, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 5, 4, 2, 3, 1, 5, 3, 5, 4, 5, 3, 4, 2, 4, 1, 5, 2, 4, 5, 3, 3, 3, 3, 5, 4, 1, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 1, 4, 3, 4, 1, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 1, 4, 5, 4, 3, 4, 3, 5, 3, 4, 2, 4, 1, 2, 3, 4, 4, 4, 3, 3, 2, 2, 3, 4, 2, 4, 5, 4, 4, 3, 3, 5, 5, 4, 5, 3, 2, 4, 4, 3, 2, 2, 4, 5, 4, 3, 4, 4, 2, 5, 5, 5, 3, 5, 3, 4, 5, 3, 3, 4, 3, 1, 5, 1, 3, 3, 3, 5, 1, 3, 4, 4, 3, 4, 2, 3, 5, 5, 5, 4, 3, 1, 3, 2, 3, 4, 2, 4, 3, 3, 1, 3, 4, 4, 2, 4, 3, 4, 2, 4, 2, 4, 4, 2, 4, 1, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 4, 3, 3, 4, 4, 4, 4, 3, 1, 1, 4, 2, 2, 2, 3, 4, 4, 5, 5, 3, 3, 2, 3, 4, 4, 2, 5, 5, 4, 5, 3, 3, 1, 4, 3, 4, 3, 3, 1, 4, 4, 1, 5, 4, 2, 1, 4, 4, 4, 3, 2, 4, 2, 3, 2, 3, 5, 2, 2, 3, 1, 3, 3, 4, 4, 2, 4, 5, 2, 4, 4, 4, 4, 4, 4, 3, 1, 4, 5, 1, 2, 1, 3, 2, 3, 4, 3, 3, 2, 3, 3, 3, 4, 1, 3, 4, 2, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 2, 3, 4, 4, 3, 1, 4, 3, 1, 4, 2, 5, 4, 2, 3, 3, 5, 4, 3, 4, 4, 4, 4, 1, 2, 4, 2, 4, 1, 3, 4, 5, 3, 2, 3, 4, 3, 3, 3, 3, 2, 5, 3, 3, 2, 3, 3, 1, 1, 4, 4, 5, 3, 4, 5, 3, 5, 5, 5, 3, 5, 3, 2, 4, 2, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 1, 3, 4, 4, 4, 5, 5, 4, 1, 3, 5, 3, 3, 2, 5, 2, 2, 1, 2, 3, 1, 5, 4, 3, 1, 5, 2, 5, 3, 3, 4, 3, 3, 5, 2, 4, 2, 5, 3, 1, 5, 3, 2, 5, 3, 5, 4, 4, 3, 2, 4, 2, 2, 2, 3, 4, 2, 4, 1, 4, 4, 1, 2, 2, 3, 5, 3, 2, 2, 3, 3, 2, 1, 3, 2, 1, 3, 4, 4, 1, 1, 1, 1, 1, 4, 3, 2, 1, 3, 5, 4, 4, 2, 2, 4, 4, 4, 2, 4, 2, 2, 3, 4, 2, 3, 3, 5, 4, 3, 4, 3, 2, 4, 4, 5, 3, 5, 3, 1, 2, 4, 5, 3, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 2, 1, 2, 2, 5, 1, 2, 2, 2, 4, 5, 4, 4, 4, 3, 2, 3, 1, 3, 4, 4, 5, 3, 3, 4, 5, 1, 4, 1, 3, 2, 3, 3, 2, 1, 5, 3, 1, 5, 3, 3, 1, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 3, 3, 2, 2, 3, 4, 5, 5, 3, 5, 2, 4, 2, 3, 3, 3, 3, 3, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 2, 4, 3, 4, 2, 4, 5, 1, 5, 1, 4, 3, 1, 5, 3, 4, 2, 4, 2, 2, 2, 4, 1, 4, 5, 3, 4, 2, 3, 5, 2, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 1, 5, 3, 2, 3, 3, 3, 3, 5, 3, 4, 4, 3, 2, 2, 3, 2, 4, 1, 4, 4, 4, 5, 2, 1, 5, 3, 3, 5, 2, 4, 2, 5, 4, 3, 3, 5, 3, 3, 4, 4, 4, 2, 3, 3, 5, 4, 3, 2, 4, 4, 3, 1, 5, 1, 5, 4, 2, 5, 3, 3, 4, 4, 3, 5, 4, 3, 1, 4, 5, 4, 4, 2, 4, 4, 2, 5, 2, 3, 3, 3, 3, 4, 4, 2, 4, 4, 3, 2, 5, 4, 5, 1, 3, 1, 3, 1, 5, 2, 4, 5, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 1, 5, 4, 1, 4, 2, 5, 3, 2, 1, 5, 4, 3, 3, 5, 3, 3, 4, 4, 3, 1, 5, 4], "27": [2, 5, 5, 5, 4, 5, 3, 5, 5, 1, 5, 2, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 3, 2, 2, 1, 5, 2, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 3, 2, 3, 5, 5], "1094": [3, 2, 4, 3, 4, 2, 4, 4, 4, 4, 5, 4, 5, 3, 4, 2, 3, 1, 3, 4, 4, 3, 4, 4, 3, 5, 5, 1, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 4, 4, 5, 1, 4, 3, 3, 3, 3, 3, 3, 1, 4, 3, 4, 2, 3, 3, 4, 4, 4, 3, 4, 4, 2, 5, 3, 3, 5, 2, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 2, 3, 4, 3, 4, 4, 5, 2, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 5], "5294": [5, 4, 4, 5, 4, 2, 4, 5, 5, 5, 4, 5, 4, 4, 4, 2, 4, 5, 4, 3, 4, 4, 4, 5, 5, 2, 3, 5, 4, 5, 5, 4, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 2, 3, 3, 4, 4, 2, 5, 5, 5, 4, 2, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 3, 4, 5, 1, 3, 3, 3, 4, 4, 3, 4, 3, 5, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 2, 4, 5, 4, 4, 4, 5, 3, 5, 3, 2], "3224": [4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 2, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 2, 5, 5, 2, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 1, 5, 2, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 2, 3, 5, 3, 4, 5, 2, 4, 4, 4, 5, 4, 4, 5, 4, 2, 3, 3, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 3, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 2, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 3, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 5, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 3, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 1, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 3, 4, 2, 3, 5, 3, 3, 4, 4, 4, 4, 1, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 2, 2, 4, 3, 2, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 3, 3, 5, 4, 5, 3, 4, 5, 3, 4, 3, 4, 4, 3, 3, 2, 4, 5, 4, 4, 5, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 5, 4, 3, 4, 4, 2, 4, 5, 3, 4, 5, 2, 4, 5, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 1, 5, 2, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 1, 5, 5, 4, 3, 1, 4, 3, 3, 3, 4, 3, 5, 4, 2, 2, 5, 3, 5, 3, 2, 4, 5, 5, 4, 4, 5, 1, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 2, 2, 4, 3, 3, 2, 2, 5, 4, 3, 3, 4, 4, 2, 4, 3, 5, 4, 4, 4, 4, 4, 2, 4, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 3, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 2, 3, 3, 4, 4, 4, 5, 2, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 4, 4, 3, 4, 4, 4, 5, 3, 2, 4, 4, 5, 3, 2, 4, 1, 3, 2, 5, 2, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 2, 4, 4, 3, 5, 4, 4, 2, 3, 4, 5, 5, 2, 2, 3, 4, 2, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 5, 4, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 5, 5, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5], "2134": [2, 2, 3, 4, 3, 3, 5, 3, 4, 2, 4, 4, 5, 5, 5, 3, 3, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 4, 4, 3, 2, 2, 4, 5, 4, 5, 3, 1, 4, 3, 4, 2, 3, 2, 4, 3, 5, 4, 5, 5], "3722": [5, 4, 5, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 2, 4, 5, 5, 4, 5, 3, 5, 4, 5, 3], "1232": [4, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 2, 5, 4, 4, 4, 4, 3, 4, 3, 1, 5, 5, 5, 4, 4, 5, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 1, 5, 4, 4, 4, 3, 5, 5, 4, 5, 5], "5894": [4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 5, 2, 2, 2, 3, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 5, 2, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 5, 4, 3, 4, 2, 4, 4, 3, 3, 3, 5], "5640": [4, 3, 3, 5, 4, 2, 4], "5080": [4, 4, 5, 4, 3, 3, 2, 4, 4, 3, 2, 3, 5, 5, 3, 4, 5, 5, 1, 4, 4, 5, 4, 5, 4, 3, 2, 3, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 5], "5701": [5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 3, 4, 4, 2, 3, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 4, 2, 2, 4, 3, 2, 5, 4, 2, 4, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4], "1127": [5, 3, 4, 3, 4, 5, 4, 1, 5, 5, 3, 2, 5, 4, 3, 4, 5, 3, 4, 3, 2, 2, 2, 5, 3, 1, 3, 3, 4, 4, 1, 2, 5, 4, 1, 3, 3, 1, 1, 2, 3, 4, 2, 2, 2, 4, 3, 5, 4, 2, 3, 2, 3, 4, 5, 5, 5, 5, 4, 2, 5, 2, 4, 1, 2, 2, 2, 3, 4, 3, 4, 4, 3, 2, 2, 2, 4, 4, 4, 2, 1, 5, 5, 5, 3, 3, 3, 3, 5, 3, 4, 5, 3, 1, 5, 3, 4, 4, 5, 1, 4, 2, 2, 4, 5, 4, 5], "1293": [3, 1, 4, 2, 3, 4, 3, 5, 2, 4, 3, 5, 5, 3, 1, 2, 4, 4, 4, 3, 2, 4, 2, 5, 3, 4, 5, 5, 1, 5, 1, 4, 3, 3, 3, 5, 5, 3, 3, 5, 2], "5111": [3, 3, 5, 5, 5, 3, 3, 4, 3, 4, 2, 4, 4, 3, 2, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 1, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 3, 2, 4, 2, 5, 3, 1, 3, 4, 5, 5, 4, 5, 4, 3, 1, 5, 4, 4, 3, 5, 5, 3, 3, 3, 4, 5, 4, 4, 4, 4, 2, 3, 3, 2, 5, 4, 3, 4, 4, 2, 4, 5, 5, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 5, 3, 2, 4, 2, 2, 4, 2, 2, 5, 3, 5, 4, 3, 3, 5, 3, 4, 2, 4, 5, 5, 4, 4, 3, 3, 5, 4, 5, 2, 5, 3, 4, 5, 2, 2, 5, 4, 4, 5, 3, 2, 2, 4, 5, 2, 5, 2, 5, 2, 4, 3, 3, 2, 5, 3, 2, 2, 3, 2, 4, 3, 2, 3, 5, 5, 2, 1, 5, 5, 1, 5, 3, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 4, 2, 5, 5, 5, 4, 4, 2, 4, 4, 4, 5, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 3, 3, 4, 4, 3, 4, 5, 3, 4, 5, 2, 2, 3, 3, 3, 1, 3, 5, 4, 3, 2, 4, 5, 3, 4, 3, 2, 5, 2, 2, 4, 5, 4, 5, 5, 4, 2, 4, 3, 2, 2, 5, 3, 5, 3, 3, 4, 4, 2, 5, 5, 5, 2, 4, 2, 3, 2, 5, 3, 2, 4, 4, 5, 5, 4, 4, 5, 5, 3, 2, 1, 1, 1, 3, 2, 3, 5, 4, 5, 4, 2, 3, 2, 5, 2, 5, 4, 3, 2, 5, 3, 5, 4, 4, 5, 4, 5, 2, 3, 2, 3, 3, 3, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 3, 2, 2, 3, 4, 1, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 3, 4, 4, 3, 4, 3, 2, 5, 3, 3, 2, 5, 4, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 4, 4, 5, 1, 5, 5, 4, 5, 5, 2, 3, 5, 1, 5, 4, 4, 4, 3, 5, 2, 3, 1, 1, 5, 3, 5, 3, 5, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 2, 5, 4, 5, 3, 3, 4, 5, 3, 5, 5, 2, 4, 5, 5, 5, 3, 3, 3, 4, 2, 5, 3, 2, 3, 3, 3, 5, 3, 4, 3, 5, 3, 3, 4, 5, 2, 4, 5, 3, 5, 5, 4, 3, 3, 4, 5, 4, 3, 5, 3, 2, 4, 3, 3, 2, 3, 4, 5, 4, 3, 3, 4, 5, 5, 3, 4, 2, 4, 2, 3, 5, 5, 4, 5, 2, 3, 5, 3, 2, 3, 2, 5, 5, 4, 5, 3, 5, 4, 5, 2, 3, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 2, 3, 5, 5, 5, 4, 5, 3, 2, 4, 4, 2, 2, 4, 3, 5, 2, 5, 2, 4, 2, 5, 2, 3, 3, 5, 2, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 1, 3, 5, 3, 3, 5, 3, 2, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 2, 1, 2, 5, 4, 3, 2, 5, 5, 4, 5, 1, 2, 3, 2, 4, 4, 3, 4, 2, 3, 3, 3, 3, 4, 4, 4, 5, 4, 2, 3, 3, 3, 5, 3, 3, 5, 2, 2, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 2, 5, 5, 4, 2, 2, 5, 4, 1, 3, 3, 4, 4, 4, 5, 3, 4, 4, 2, 5, 2, 5, 4, 3, 4, 5, 4, 4, 2, 2, 5, 5, 2, 5, 4, 5, 3, 5, 4, 1, 4, 5, 3, 3, 5, 2, 3, 4, 3, 5, 2, 3, 4, 4, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 5, 2, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 3, 5, 3, 2, 4, 3, 3, 5, 2, 3, 4, 5, 3, 4, 5, 5, 2, 3, 5], "3742": [3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 2, 4, 5, 4, 3, 2, 5, 4, 5, 4, 5, 4, 5, 2, 4, 3, 3, 5, 4, 2, 3, 5, 1, 3, 3, 5, 3, 4, 3, 3, 5, 5, 4, 3, 4, 3, 3, 3, 4, 2, 4, 2, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 3, 3, 3, 5, 5, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5], "1869": [1, 3, 4, 4, 2, 5, 4, 4, 5, 4, 5, 5, 5, 2, 2, 5, 4, 5, 5, 5, 4, 5, 4, 2, 5, 3, 2, 4, 3, 5, 4, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 2], "3990": [3, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 5, 2, 2, 3, 4, 3, 4, 5, 3, 3, 5, 5, 5, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 3, 4, 5, 3, 3, 3, 4, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 2, 4, 4, 5, 4], "5187": [5, 3, 3, 5, 3, 5, 5, 2, 4, 1, 1, 1, 4, 5, 4, 5, 4, 3, 5, 1, 2, 5, 5, 5, 5, 4, 4, 4, 3, 2, 3, 5, 4, 5, 1, 5, 3, 5, 2, 5, 5, 5, 4, 2, 5, 5, 4, 5, 5, 5, 5, 3, 5, 4, 1, 3, 4, 5, 3, 3, 4, 3, 4, 4, 4, 4, 1, 3, 2, 4, 5, 5, 4, 4, 5, 5, 1, 1, 4, 3, 1, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4], "4594": [5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 1, 3, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5], "1085": [5, 2, 3, 3, 4, 3, 5, 3, 4, 1, 4, 4, 5, 3, 3, 3, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 1, 5, 3, 4, 2, 5, 3], "4220": [3, 2, 3, 5, 4, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 2, 4, 3, 4, 4, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 3, 2, 4, 3, 3, 3, 4, 3, 4, 3, 5, 2, 4, 3, 5, 4, 2, 5, 4, 5, 3, 3, 2, 4, 2, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 1, 3, 5, 4, 3, 5, 3, 3, 5, 3, 4, 4, 1, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 4, 1, 4, 3, 4, 4, 2, 5, 3, 3, 2, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 2, 4, 2, 5, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 2, 3, 3, 4, 5, 3, 3, 4, 4, 5, 4, 3, 5, 4, 3, 3, 5, 4, 2, 3, 3, 5, 4, 5, 2, 4, 5, 4, 3, 2, 3, 4, 4, 3, 5, 3, 4, 2, 2, 3], "4741": [4, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5], "1371": [5, 5, 4, 4, 4, 4, 4, 1, 4, 5, 5, 5, 5, 5, 3, 5], "3802": [2, 4, 2, 5, 4, 4, 3, 5], "980": [4, 4, 3, 5, 5, 5, 2, 4, 5, 2, 3, 2, 2, 3, 5, 3, 3, 1, 1, 5, 1, 2, 5, 4, 4, 5, 3, 5, 3, 2, 4, 3, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 5, 5, 2, 2, 4, 1, 4, 4, 5, 3, 4, 2, 4, 1, 2, 2, 4, 5, 4, 4, 2, 1, 4, 3, 3, 3, 2, 4, 3, 1, 1, 3, 3, 5, 2, 3, 4, 4, 3, 4, 2, 2, 3, 2, 2, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 1, 4, 5], "5099": [1, 3, 4, 5, 4, 5, 4, 3, 3, 2, 3, 4, 3, 4, 5, 3, 4, 3, 3, 5, 5, 4, 1, 2, 4, 4, 3, 2, 3, 3, 4, 5, 3, 1, 4, 3, 3, 4, 3, 3, 4, 3, 3, 1, 3, 4, 5, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 3, 4, 4, 3, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 3, 4, 3, 4, 5, 3, 3, 4, 4, 3, 4, 4, 2, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3], "4492": [3, 4, 3, 5, 5, 5, 4, 3, 4, 4, 4, 3, 5], "2415": [3, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 2, 5, 3, 4, 4, 4, 1], "5172": [4, 3, 3, 4, 3, 4, 2, 1, 3, 3, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 5, 4, 5, 3, 4, 3, 3, 4, 3, 5, 3, 3, 5, 4, 4, 4, 2, 4, 4, 5, 4, 1, 4, 3, 4, 4, 4, 3, 1, 3, 3, 4, 4, 2, 4, 3, 3, 3, 2, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 5, 2, 4, 2, 3, 3, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 4, 3, 5, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 5, 4, 3, 3, 4, 2, 1, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 3, 4, 1, 4, 4, 4, 4, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 2, 4, 2, 3, 4, 3, 5, 4, 4, 2, 4, 2, 5, 3, 3, 5, 1, 5, 2, 3, 4, 4, 4, 4, 4, 3, 4, 2, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 1, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 2, 3, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 2, 4, 2, 2, 3, 3, 4, 1, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 2, 3, 4, 3, 3, 4, 2, 3, 4, 2, 3, 4, 2, 2, 2, 4, 4, 2, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 2, 5, 4, 5, 3, 2, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 2, 5, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5], "4794": [3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 1, 5, 5, 5, 2, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 3, 4, 5, 4, 3, 2, 5, 5, 5, 5, 4, 5, 2, 5, 5, 4, 5, 4, 4, 5, 2, 4, 5, 5, 5, 5, 5], "2024": [2, 3, 5, 3, 3, 3, 5, 2, 5, 5, 2, 4, 1, 5, 5, 1, 3, 2, 3, 5, 5, 3, 3, 4, 4, 3, 5, 2, 2, 3, 2, 3, 4, 5, 5, 3, 4, 3, 2, 5, 4, 3, 2, 4, 3, 3, 2, 2, 3, 2, 5, 4, 5, 5, 1, 4, 3, 3, 2, 3, 5, 1, 1, 3, 5, 4, 2, 3, 5, 5, 5, 3, 3, 1, 4, 2, 2, 4, 2, 2, 3, 2, 2, 1, 5, 1, 2, 5, 5, 4, 2, 3, 3, 3, 5, 2, 1, 5, 3, 3, 3, 3, 5, 2, 1, 3, 2, 3, 5, 1, 3, 4, 3, 3, 3, 3, 3, 4, 2, 3, 5, 5, 4, 1, 2, 3, 5, 4, 3, 2, 3, 5, 3, 5, 4, 5, 3, 5, 3, 4, 3, 3, 3, 5, 3, 4, 5, 5, 4, 3, 3, 4, 5, 5, 3, 2, 3, 3, 5, 5, 2, 5, 5, 5, 3, 4, 2, 1, 5, 2, 2, 4, 2, 5, 5, 3, 2, 3, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 4, 4, 5, 2, 5, 3, 3, 1, 2, 3, 4, 4, 5, 1], "3549": [3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 3], "2517": [3, 5, 3, 1, 3, 3, 3, 3, 2, 2, 2, 3, 4, 1, 3, 5, 3, 2, 2, 4, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 2, 2, 5], "5201": [4, 3, 4, 4, 3, 3, 2, 4, 3, 4, 5, 5, 1, 3, 1, 4, 3, 3, 4, 2, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 2, 2, 4, 3, 2, 3, 2, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 2, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 2, 3, 3, 3, 5, 4, 4, 4, 4, 2, 5, 4, 5, 2, 4], "3982": [4, 3, 3, 3, 5, 3, 4, 4, 2, 4, 4, 2, 4, 4, 3, 5, 4, 3, 4, 3, 2, 3, 5, 4, 4, 3, 4, 3, 3, 3, 4, 4, 5, 4, 3, 2, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 3, 4, 1, 5, 1, 5, 4, 4, 4, 2, 5, 4, 4, 3, 3], "2747": [3, 5, 5, 4, 4, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 5, 4, 3, 3, 3, 5, 3, 2, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4], "4754": [4, 3, 4, 5, 3, 4, 3, 2, 5, 3, 4, 4, 2, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 1, 4, 1, 4, 3, 5, 3, 5, 5, 3, 2, 5, 2, 2, 5, 4, 4, 4, 2, 4, 4, 2, 3, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 2, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 5, 5, 5, 3, 3, 5, 3, 5, 4, 4, 3, 5, 4, 3, 2, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 4, 5, 3, 3, 5, 5, 4, 5, 4, 5, 3, 5, 3, 4, 5, 4, 5, 2, 3, 4, 2, 2, 2, 3, 4, 3, 5, 5, 3, 5, 5, 5, 2, 3, 5, 3, 2, 4, 4, 4, 2, 3, 3, 5, 4, 5, 5, 1, 4, 4, 1, 2, 5, 4, 4, 2, 3, 3, 4, 3, 3, 2, 4, 4, 2, 2, 2, 1, 4, 4, 3, 5, 5, 3, 2, 3, 2, 3, 2, 4, 2, 3, 5, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 5, 2, 3, 5, 3, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5], "609": [5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5], "1451": [5, 5, 4, 5, 5, 5, 3, 5, 5, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 3, 4, 3, 4, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 5, 3, 5, 3, 4, 5, 2, 4, 3, 3, 4, 4, 4, 2, 4, 2, 3, 4, 4, 5, 2, 4, 4, 5, 4, 5, 5, 4, 3, 3, 1, 2, 5, 4, 4, 4, 4, 5, 3, 2, 3, 4, 3, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 2, 4, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 2, 3, 5, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 1, 5, 4, 2, 5, 4, 4, 4, 5, 3, 3, 5, 5, 4, 2, 4, 4, 3, 3, 3, 1, 5, 5, 5, 3, 4, 3, 5, 3, 2, 2, 4, 5, 3, 2, 5, 5, 4, 5, 4, 3, 3, 3, 5, 3, 4, 5, 5, 5, 4, 2, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 5, 2, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 2, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 1, 5, 5, 5, 4, 4, 5, 4, 2, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 5, 3, 4, 2, 5, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 2, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 2, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 3, 5, 5, 5, 4, 3, 2, 4, 4, 5, 4, 5, 1, 1, 3, 5, 4, 5, 5, 3, 5, 3, 2, 4, 2, 4, 4, 4, 4, 5, 4, 5, 3, 4, 2, 4, 5, 3, 3, 3, 4, 1, 4, 4, 3, 4, 4, 4, 5, 5, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 3, 5, 1, 5, 3, 5, 4, 4, 4, 2, 3, 4, 3, 5, 4, 4, 5, 4, 5, 3, 4, 5, 2, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 2, 4, 2, 4, 3, 4, 4, 2, 5, 3, 5, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 2, 4, 3, 5, 4, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 3, 5, 1, 4, 5, 1, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 3, 3, 5, 5, 1, 2, 5, 2, 3, 4, 5, 3, 4, 2, 5, 4, 5, 4, 4, 5, 3, 4, 5, 2, 3, 5, 4, 4, 3, 5, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 2, 4, 4, 3, 3, 2, 5, 2, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3], "2941": [5, 4, 3, 4, 4, 3, 3, 4, 4, 5, 1, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 2, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 1, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 5, 2, 4, 4, 4, 4, 4, 3, 4, 2, 3, 1, 2, 1, 3, 2, 2, 3, 3, 3, 4, 5, 4, 2, 3, 2, 2, 1, 3, 2, 4, 5, 5, 3, 4, 3, 3, 4, 4, 4, 4, 5, 2, 2, 3, 3, 2, 3, 3, 5, 1, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 3, 1, 3, 1, 3, 4, 1, 1, 4, 2, 2, 2, 5, 5, 4, 5, 3, 4, 1, 1, 3, 4, 2, 3, 3, 3, 4, 2, 5, 3, 4, 4, 4, 2, 4, 2, 4, 4, 1, 1, 4, 3, 4, 3, 4, 1, 4, 4, 1, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 2, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 1, 2, 4, 3, 2, 4, 2, 2, 1, 4, 1, 2, 2, 5, 4, 2, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 5, 2, 3, 2, 4, 2, 4, 3, 4, 3, 3, 2, 4, 3, 3, 4], "4068": [4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 4], "5400": [2, 4, 3, 4, 3, 3, 4, 5, 1, 3], "569": [3, 3, 4, 4, 3, 5, 3, 3, 5, 4, 2, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 1, 3, 3, 3, 4, 4, 3, 5, 4, 2, 4, 4, 5, 3, 4, 4, 5, 5, 4, 3, 3, 4, 2, 3, 4, 4, 4, 3, 5, 3, 5, 4, 3, 3, 3, 2, 2, 5, 4, 3, 3, 3, 4, 4, 3, 3, 5, 3, 3, 5, 4, 3, 2, 3, 4, 3, 4, 4, 3, 3], "194": [4, 5, 5, 4, 5, 5, 4, 5, 4, 1, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 3, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2], "3663": [2, 3, 3, 4, 4, 4, 2, 3, 5, 4, 2, 4, 5, 5, 4, 5, 2, 5, 1, 2, 3, 1, 4, 3, 3, 3, 2, 5, 4, 2, 2, 5, 2, 5, 5, 3, 5, 4, 5, 3, 4, 3, 4, 4, 2, 4, 5, 5, 3, 1, 4, 1, 2, 3, 3, 4, 3, 4, 2, 4, 2, 4, 2, 2, 4, 5, 4, 5, 5, 4, 3, 4, 3, 3, 2, 3, 4, 2, 2, 5, 4, 4], "1091": [3, 4, 4, 3, 1, 3, 1, 3, 2, 4, 3, 3, 2, 3, 2, 3, 2, 3, 3, 4, 3, 3, 1, 2, 4], "171": [4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 3], "1968": [4, 2, 2, 3, 2, 3, 5, 3, 4, 5, 3, 4, 5, 2, 3, 2, 2, 2, 5, 2, 5, 1, 2, 4, 1, 2, 5, 1, 3, 3, 3, 2, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 4, 3, 3, 3, 3, 4, 1, 2, 4, 4, 2, 2, 4, 2, 3, 2, 4, 1, 2, 3, 1, 2, 4, 2, 2, 3, 3, 1, 3, 5, 1, 2, 4, 4, 1, 2, 2, 3, 3, 2, 3, 2, 1, 3, 2, 4, 1, 3, 3, 1, 4, 4, 4, 3, 2, 4, 1, 2, 2, 1, 1, 2, 3, 4, 2, 2, 3, 3, 1, 1, 3, 3, 3, 1, 3, 2, 3, 1, 3, 2, 4, 1, 1, 2, 1, 4, 2, 1, 5, 2, 2, 1, 5, 1, 5, 5, 2, 2, 1, 1, 4, 1, 2, 4, 2, 2, 2, 3, 5, 1, 1, 2, 4, 5, 3, 2, 1, 1, 4, 4, 5, 3, 3, 3, 1, 2, 3, 2, 1, 1, 5, 3, 3, 2, 1, 2, 5, 4, 5, 3, 3, 3, 2, 1, 3, 2, 2, 4, 2, 2, 5, 2, 5, 4, 2, 1, 3, 2, 4, 3, 2, 5, 4, 3, 2, 3, 2, 1, 3, 4, 4, 4, 4, 2, 3, 4, 3, 1, 3, 1, 2, 1, 5, 3, 4, 3, 5, 4, 5, 1, 3, 5, 4, 2, 2, 2, 5, 3, 4, 4, 4, 3, 4, 5, 3, 2, 3, 3, 5, 5, 3, 2, 5, 2, 2, 1, 3, 2, 3, 3, 1, 2, 1, 5, 3, 2, 2, 3, 3, 3, 2, 2, 5, 2, 4, 4, 3, 3, 3, 2, 4, 5, 4, 2, 3, 4, 2, 3, 2, 2, 2, 4, 1, 1, 2, 1, 4, 1, 2, 2, 3, 3, 5, 3, 2, 4, 5, 1, 1, 2, 2, 4, 2, 2, 2, 1, 4, 2, 2, 3, 2, 5, 3, 1, 5, 2, 2, 2, 2, 5, 4, 5, 3, 2, 3, 3, 1, 4, 2, 3, 4, 4, 3, 5, 3, 2, 3, 1, 3, 1, 3, 2, 2, 4, 2, 1, 1, 3, 2, 2, 3, 2, 5, 1, 1, 2, 2, 4, 1, 2, 1, 5, 3, 5, 2, 3, 4, 3, 1], "1029": [4, 1, 3, 2, 3, 5, 4, 5, 1, 4, 2, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 5, 1, 4, 5, 3, 5, 3, 3, 5, 2, 3, 3, 4, 4, 3, 4, 3, 3, 5, 5, 5, 4, 3, 3, 5, 3, 3, 4, 4, 4, 2, 3, 1, 3, 2, 3, 4, 3, 2, 4, 2, 3, 5, 3, 2, 3, 1, 3, 3, 1, 1, 5, 5, 5, 4, 4, 4, 2, 4, 1, 1, 4, 2, 1, 4, 4, 1, 3, 3, 4, 3, 3, 1, 3, 3, 4, 2, 2, 3, 5, 4, 5, 5, 4, 2, 2, 5, 3, 3, 3, 3, 1, 3, 1, 3, 4, 1, 2, 3, 1, 2, 2, 5, 4, 3, 4, 4, 3, 2, 4, 2, 4, 3, 1, 3, 3, 4, 2, 3, 3, 2, 5, 4, 1, 1, 1, 3, 3, 3, 3, 1, 3, 5, 3, 3, 5, 4, 5, 4, 4, 4, 2, 2, 5, 4, 5, 5, 5, 2, 2, 4, 3, 2, 1, 3, 2, 4, 5, 3, 3, 4, 3, 3, 5, 4, 4, 5, 2, 4, 2, 3, 2, 3, 2, 4, 1, 1, 1, 2, 3, 3, 5, 5, 2, 3, 4, 2, 3, 3, 4, 2, 4, 4, 4, 3, 3, 3, 5, 4, 4], "868": [3, 3, 4, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3], "5652": [2, 5, 4, 4, 1, 3, 5, 3, 4, 4, 4, 2, 4, 5, 3, 4, 3, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 3, 3, 5, 3, 3, 4, 3, 3, 2, 3, 4, 4, 2, 5, 4, 3, 4, 3, 3, 5, 3, 3, 5, 3, 5, 5, 3, 5, 5, 3, 1, 2, 3, 4, 5, 3, 3, 5, 3, 5, 5, 5, 5, 3], "5057": [3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 3, 4, 4, 4, 2, 4, 3, 3, 4, 5, 4, 5, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5], "1519": [5, 2, 5, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 1, 3, 5, 2, 4, 5, 3, 5, 4, 2, 5, 3, 3, 5, 5, 2, 5, 5, 5, 5, 3, 4, 5, 1, 1, 2, 5, 4, 3, 1, 5, 3, 4, 3, 5, 5, 4, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5], "1520": [4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 5, 3, 5, 4, 5, 1, 1], "5547": [4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 2, 2, 5, 4, 4, 4, 2, 4, 4, 4, 3, 3, 5, 5, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 2, 5, 3, 5, 2, 5, 3, 4, 3, 3, 4, 2, 2, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 3, 5, 2, 2], "1903": [3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 2, 5, 3, 4, 4, 3, 3, 5, 5, 2, 4, 5, 3, 3, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 1, 5, 4, 5, 2, 4, 4, 3, 5, 4, 4, 4, 2, 4, 5, 3, 1, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 1, 4, 4, 1, 5, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 5, 1, 5, 3, 5], "3582": [2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 2, 5, 3, 5, 5, 4, 3, 5, 4, 3, 2, 5, 4, 4, 4, 2, 2, 4, 3, 3, 2, 3, 1, 4, 3, 3, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 2, 1, 4, 5, 5, 4, 4, 3, 4, 5, 3, 3, 3, 4, 2, 4, 2, 4, 4, 1, 5, 4, 3, 5, 3, 5, 3, 5, 3, 4, 5, 4, 3, 4, 1, 3, 3], "4783": [4, 4, 5, 4, 1, 4, 5, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 2, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 4, 3, 3, 4, 5, 3, 4, 4, 5, 2, 3, 3, 4, 4, 3, 4, 4, 4, 5], "972": [5, 5, 4, 4, 5, 4, 3, 5, 4, 3, 1, 1, 3, 1, 1, 2, 4, 3, 4, 4, 4, 2, 2, 3, 3, 2, 4, 1, 5], "1019": [2, 5, 4, 4, 4, 2, 3, 3, 3, 1, 2, 5, 5, 3, 2, 3, 4, 5, 4, 3, 1, 1, 4, 3, 2, 3, 3, 3, 4, 4, 2, 4, 3, 4, 4, 2, 3, 2, 5, 5, 5, 1, 4, 1, 1, 4, 1, 1, 4, 3, 3, 4, 4, 2, 2, 2, 3, 3, 4, 5, 3, 4, 4, 4, 1, 3, 3, 4, 5, 1, 3, 4, 5, 3, 3, 3, 2, 5, 4, 2, 2, 1, 4, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 5, 4, 1, 5, 4, 3, 1, 3, 4, 1, 1, 4, 1, 4, 1, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 1, 3, 2, 4, 1, 4, 1, 5, 1, 5, 1, 1, 3, 2, 3, 2, 3, 4, 4, 5, 3, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 4, 2, 4, 4, 1, 4, 2, 3, 1, 4, 2, 2, 2, 1, 4, 1, 2, 4, 4, 1, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 3, 1, 3, 4, 5, 2, 5, 3, 4, 4, 3, 1, 3, 1, 4, 4, 3, 3, 2, 1, 1, 2, 2, 1, 3, 1, 4, 3, 2, 3, 2, 3, 3, 5, 3, 4, 1, 3, 4, 4, 2, 4, 2, 1, 4, 4, 4, 4, 1, 5, 3, 2, 4, 3, 3, 1, 4, 4, 3, 5, 3, 1, 1, 3, 1, 3, 1, 3, 1, 3, 3, 4, 1, 1, 5, 2, 1, 1, 3, 4, 3, 3, 3, 4, 5, 4, 4, 5, 4, 2, 3, 4, 4, 1, 2, 3, 3, 1, 3, 3, 5, 3, 1, 3, 2, 1, 1, 4, 3, 3, 4, 1, 3, 4, 4, 1, 1, 3, 3, 5, 3, 4, 3, 4, 3, 1, 4, 5, 3, 4, 4, 4, 2, 2, 4, 3, 4, 5, 4, 1, 3, 3, 4, 4, 3, 5, 3, 4, 2, 4, 4, 3, 3, 5, 2, 3, 5, 1, 4, 4, 5, 1, 2, 1, 1, 4, 4, 4, 1, 4, 1, 3, 3, 4, 3, 2, 2, 3, 2, 1, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 2, 4, 5, 3, 3, 2, 3, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 5, 1, 2, 1, 2, 3, 3, 3, 2, 1, 2, 3, 5, 4, 4, 4, 4, 4, 4, 5, 2, 3, 2, 3, 1, 3, 2, 4, 3, 4, 4, 4, 1, 4, 5, 4, 3, 5, 1, 4, 4, 5, 4, 3, 4, 2, 2, 1, 4, 1, 1, 3, 3, 3, 3, 4, 3, 3, 1, 1, 4, 1, 1, 3, 2, 5, 1, 4, 4, 3, 3, 3, 2, 4, 4, 3, 4, 3, 3, 3, 1, 4, 4, 4, 4, 1, 3, 5, 4, 5, 3, 3, 1, 4, 4, 2, 1, 2, 3, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 1, 2, 1, 2, 3, 2, 3, 5, 4, 1, 4, 4, 3, 4, 4, 2, 5, 4, 3, 2, 3, 4, 4, 4, 1, 4, 4, 2, 4, 1, 2, 2, 4, 2, 2, 3, 3, 2, 5, 3, 4, 4, 3, 3, 2, 4, 1, 5, 3, 2, 4, 3, 1, 4, 1, 4, 3, 4, 2, 3, 4, 3, 1, 5, 3, 4, 3, 3, 3, 5, 2, 1, 3, 2, 1, 3, 2, 4, 1, 1, 5, 1, 3, 4, 4, 1, 4, 3, 4, 4, 4, 4, 2, 2, 2, 3, 1, 3, 4, 3, 4, 3, 4, 3, 2, 2, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3, 1, 3, 3, 4, 2, 1, 3, 3, 5, 4, 3, 5, 4, 4, 5, 4, 4, 1, 3, 3, 3, 4, 3, 3, 2, 2, 2, 3, 4, 1, 2, 4, 1, 2, 3, 1, 4, 2, 4, 2, 4, 3, 3, 1, 2, 4, 4, 3, 2, 5, 4, 4, 3, 3, 4, 2, 3, 4, 2, 2, 3, 4, 5, 3, 4, 1, 2, 4, 4, 4, 1, 5, 3, 4, 3, 4, 2, 3, 2, 4, 1, 2, 3, 2, 4, 2, 4, 4, 3, 1, 4, 4, 2, 4, 1, 1, 3, 2, 5, 3, 2, 5, 5, 4, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 2, 4, 2, 2, 1, 1, 3, 1, 1, 3, 3, 5, 3, 3, 5, 1, 4, 4, 4, 4, 4, 5, 3, 5, 1, 1, 4, 4, 4, 3, 1, 4, 4, 3, 5, 3, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 2, 3, 1, 1, 4, 3, 3, 5, 4, 4, 3, 3, 5, 4, 5, 2, 4, 2, 2, 4, 2, 3, 4, 5, 1, 4, 3, 5, 3, 5, 3, 2, 4, 3, 5, 4, 1, 3, 5, 4], "708": [3, 5, 3, 1, 4, 5, 3, 4, 5, 3, 3, 3, 5, 4, 5, 5], "1255": [4, 4, 4, 4, 4, 3, 5, 4, 4, 2, 5, 3, 2, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 2, 4, 4, 3, 5, 5, 5, 3, 4, 2, 4, 3, 1, 4, 5, 5, 2, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 1, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 4, 2, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 3, 3, 4, 3, 5, 3, 5, 2, 2, 4, 5, 5, 5, 3, 2, 4, 3, 3, 5, 1, 5, 4, 3, 2, 2, 4, 4, 5, 4, 4, 2, 4, 4, 5, 5, 3, 2, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 2, 2, 4, 2, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 5, 4, 5, 4, 5, 1, 1, 3, 5, 3, 3, 4, 5, 5, 5, 4, 1, 5, 5, 3, 4, 5, 4], "5182": [4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 5, 2, 4, 4, 5, 4, 4, 3, 3, 3, 5, 4, 5, 4, 3, 3, 3, 3, 3, 5, 4, 5, 5, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 2, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 1, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 3, 5, 3, 2, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5], "3760": [4, 4, 1, 4, 4, 5, 4, 2, 4, 4, 5, 3, 3, 4, 1, 4, 4, 2, 3, 3, 4, 4, 3, 2, 4, 3, 4, 5, 2, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 5, 5, 3, 4, 3, 4, 5, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 2, 2, 4, 5, 5, 3, 3, 4, 5, 3, 4, 5, 5, 3, 5, 5, 4, 5, 3, 2, 4, 5, 2, 4, 3, 5, 4, 3, 5, 4, 3, 3, 5, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 5, 5, 3, 4, 3, 4, 5, 3, 3, 3, 5, 3, 4, 4, 3, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 5, 3, 4, 5, 5, 5, 4, 2, 3, 4, 2, 3, 4, 3, 2, 5, 4, 5, 2, 3, 4, 4, 3, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 3, 4, 4, 2, 4, 4, 3, 2, 5, 4, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 3, 4, 5, 3, 4, 3, 3, 3, 4, 3, 3, 2, 4, 2, 4, 3, 4, 4, 4, 3, 2, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 2, 1, 2, 5, 4, 3, 4, 3, 5, 2, 4, 4, 5, 4, 3, 4, 4], "5869": [5, 5, 3, 4, 5, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 3, 3, 2, 4, 5, 4, 3, 2, 4, 5, 4, 3, 4, 2, 4, 5, 5, 5, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 3, 5, 5, 3, 4, 5, 3], "1477": [3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 1, 3, 5, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 4, 5], "5800": [4, 4, 3, 2, 5, 3, 5, 3, 3, 4, 2, 3, 2, 2, 2], "168": [2, 4, 4, 3, 4, 5, 5, 3, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 1], "3099": [4, 4, 4, 3, 4, 2, 4, 4, 3, 2, 1, 5, 2, 4, 4, 3, 3, 1, 5, 3, 3, 4, 2, 4, 4, 4, 2, 4, 2, 3, 3, 4, 3, 3, 3, 4, 2, 2, 2, 4, 4, 3, 3, 5, 4, 3, 4, 3, 3, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 3, 3, 4, 5, 5, 5, 2, 3, 4, 2, 5, 2, 3, 4, 4, 2, 3, 2, 3, 4, 1, 4, 3, 2, 3, 4, 5, 4, 2, 4, 3, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 4, 4, 2, 2, 3, 3, 3, 1, 2, 4, 2, 3, 3, 3, 5, 3, 2, 3, 4, 3, 4, 1, 3, 2, 3, 3, 5, 3, 3, 3, 5, 2, 2, 4, 2, 3, 2, 4, 5, 3], "3270": [4, 4, 4, 3, 4, 4, 1, 5, 2, 5, 4, 4, 4, 3, 5, 2, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 1, 2, 5, 4, 2, 4, 4, 3, 2, 5, 2, 4, 3, 3, 4, 1, 4, 5, 5, 2, 3, 2, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 2, 3, 4, 5, 3, 1, 2, 2, 5, 3, 5, 4, 2, 3, 5, 4, 3, 5, 4, 5, 5, 4, 2, 4, 3, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 3, 4, 4, 3, 3, 3, 3, 5, 2, 4, 4, 4, 3], "5810": [5, 3, 5, 4, 4, 4, 3, 2, 4, 5, 5, 5, 1, 5, 4], "677": [5, 3, 4, 1, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 2, 2, 5, 4, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 3, 2, 3, 5, 4, 4, 5, 1, 4, 1, 4, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 3, 5, 5, 5, 5, 3, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 2, 4, 5, 3, 4, 3, 3, 5, 2, 4, 5, 3, 5, 4, 1, 4, 5, 4, 4, 5, 1, 4, 3, 3, 5, 2, 5, 4, 3, 5, 2, 3, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 2, 3, 4, 5, 5, 5, 4, 1, 4, 5, 5, 5, 3, 2, 4, 2, 5, 4, 4, 5, 2, 5, 5, 3, 4, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 1, 5, 4, 4], "5857": [5, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 2, 5, 5, 3, 3, 5, 3, 2, 3, 3, 2, 3, 3, 3, 2, 5, 3, 1, 2, 2, 1, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 2, 4, 3, 3, 4, 3, 4, 2, 5, 3, 3, 3, 5, 5, 5, 2, 1, 5, 4, 2, 3, 5, 2, 4, 3, 1, 2, 3, 2, 3, 2, 5, 3, 3, 2, 2, 3, 3, 3, 5, 4, 4, 1, 5, 5, 1, 5, 1, 4, 2, 3, 4, 2, 2, 5, 2, 4, 1, 5, 2, 3, 2, 3, 5, 1, 5, 1, 3, 5, 2, 3, 4, 2, 3, 3, 5, 4, 3, 2, 2, 3, 5, 2, 2, 1, 3, 5, 3, 2, 3, 5, 4, 5, 4, 4, 1, 2, 2, 1, 2, 3, 4, 2, 3, 5, 3, 3, 4, 5, 4, 3, 5, 4, 2, 5, 2, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 5, 5, 4, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 5, 5, 3, 4], "3521": [4, 3, 3, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 4, 3, 3, 4, 5, 5, 2, 5, 5, 3, 4, 3, 3, 5, 4, 5, 2, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 3, 5, 3, 5, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 2, 4, 3, 4, 5, 5, 4, 3, 4, 2, 4, 4, 5, 3, 3, 3, 5, 2, 4, 3, 3, 3, 3, 4, 4, 4, 4, 2, 4, 5, 4, 4, 4, 2, 5, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 3, 4, 3, 2, 5, 3, 4, 3, 5, 3, 3, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 4, 2, 2, 3, 3, 3, 4, 2, 2, 3, 4, 4, 4, 3, 3, 4, 1, 4, 4, 3, 4, 3, 4, 5, 5, 2, 5, 4, 4, 1, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 5, 3, 3, 5, 3, 1, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 3, 3, 5, 3, 4, 3, 1, 3, 2, 3, 4, 2, 2, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 2, 3, 3, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 4, 3, 1, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 2, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 2, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 3, 2, 5, 4, 3, 5, 4, 2, 4, 4, 4, 2, 1, 5], "5792": [3, 3, 3, 5, 4, 5, 3, 3, 4, 5, 3, 3, 5, 3, 3, 3, 2, 4, 4, 4, 3, 5, 4, 3, 4, 5, 4, 3, 4, 2, 4, 5, 4, 4, 5, 4, 3, 3, 1, 4, 5, 5, 3, 4, 2, 3, 5, 4, 4, 2, 4, 3, 5, 3, 4, 5, 5, 4, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 1, 4, 3, 5, 2, 1, 4, 3, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 3, 5, 4, 5, 3, 5, 4, 4, 2, 4, 5, 3, 3, 3, 3, 5, 4, 3, 3, 4, 2, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 3, 3, 3, 3, 5, 4, 1, 5, 4, 5, 3, 5, 4, 4, 5, 3, 4, 5, 3, 3, 3, 5], "4811": [5, 5, 3, 5, 5, 5, 4, 2, 2, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 3, 5, 5, 1, 3, 5, 3, 4, 5, 4, 3, 5, 4, 5, 5, 4], "4331": [4, 1, 2, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 2, 4, 5, 4, 4, 3, 4, 4, 4, 2, 5, 5, 3], "2227": [4, 5, 4, 4, 3, 4, 4, 4, 3, 2, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 3, 2, 3, 4, 3, 5, 4, 2, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4], "1340": [3, 3, 1, 1, 2, 4, 2, 3, 3, 3, 2, 1, 3, 4, 4, 4, 5, 4, 5, 2, 2, 1, 2, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 5, 3, 3, 5, 4, 5, 3, 1, 3, 3, 1, 3, 3, 2, 5, 2, 4, 3, 1, 2, 4, 1, 4, 1, 1, 1, 5, 2, 1, 2, 4, 4, 1, 3, 2, 3, 5, 2, 5, 3, 1, 1, 1, 1, 3, 1, 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 3, 4, 2, 1, 1, 3, 4, 4, 5, 3, 1, 2, 1, 1, 1, 1, 4, 4, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 1, 3, 4, 1, 3, 3, 1, 3, 2, 1, 1, 1, 3, 1, 4, 1, 4, 3, 4, 1, 1, 4, 1, 3, 1, 2, 4, 1, 4, 1, 4, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 4, 1, 1, 2, 3, 4, 1, 5, 2, 1, 1, 2, 3, 4, 3, 3, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 5, 1, 1, 2, 1, 2, 4, 2, 1, 2, 2, 1, 3, 4, 1, 3, 1, 1, 3, 1, 1, 1, 2, 1, 2, 5, 3, 1, 1, 1, 2, 4, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 3, 3, 1, 3, 5, 1, 2, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 4, 3, 2, 3, 1, 4, 2, 2, 3, 1, 3, 1, 1, 1, 5, 1, 5, 1, 1, 1, 1, 1, 3, 4, 1, 1, 3, 1, 5, 1, 2, 4, 3, 2, 1, 4, 5, 1, 2, 4, 1, 1, 5, 3, 2, 2, 1, 1, 4, 2, 3, 1, 2, 4, 2, 2, 2, 3, 4, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 1, 3, 2, 5, 1, 5, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 3, 5, 5, 5, 1, 1, 3, 3, 1, 1, 5, 3, 1, 1, 2, 1, 1, 2, 1, 5, 2, 3, 2, 1, 1, 1, 3, 1, 1, 3, 3, 1, 4, 2, 1, 4, 3, 1, 3, 1, 5, 5, 2, 1, 4, 2, 1, 3, 1, 1, 2, 1, 3, 2, 1, 2, 2, 2, 5, 1, 3, 1, 1, 2, 3, 4, 1, 3, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 1, 1, 1, 3, 5, 4, 3, 2, 1, 4, 2, 2, 1, 1, 1, 2, 1, 4, 1, 3, 3, 2, 2, 2, 1, 3, 3, 4, 4, 1, 3, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 5, 1, 2, 1, 1, 3, 4, 4, 1, 3, 2, 3, 1, 2, 1, 5, 1, 1, 2, 1, 1, 4, 1, 5, 3, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 5, 4, 2, 1, 2, 4, 1, 1, 1, 1, 2, 1, 4, 4, 4, 2, 2, 5, 2, 1, 3, 1, 3, 2, 1, 3, 5, 4, 2, 1, 3, 1, 2, 1, 5, 2, 1, 4, 1, 5, 1, 1, 1, 4, 4, 4, 1, 1, 5, 2, 2, 3, 3, 2, 1, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 5, 2, 3, 2, 4, 1, 1, 5, 3, 1, 2, 1, 5, 3, 1, 1, 1, 4, 5, 5, 1, 1, 1, 2, 1, 1, 3, 2, 1, 5, 3, 5, 1, 3, 3, 2, 4, 3, 3, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 5, 4, 2, 1, 2, 3, 5, 1, 5, 3, 3, 1, 5, 4, 1, 1, 5, 1, 1, 1, 1, 2, 3, 1, 4, 4, 1, 4, 2, 2, 1, 3, 1, 4, 5, 1, 2, 2, 1, 3, 4, 3, 2, 2, 3, 4, 1, 3, 4, 1, 5, 5, 1, 3, 1, 5, 2, 2, 4], "2034": [4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5], "1708": [5, 5, 5, 4, 3, 4, 4, 3, 3, 4, 4], "5521": [5, 5, 5, 3, 4, 3, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 5, 5, 3, 5, 3, 2, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 5, 4, 5], "5212": [5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5], "5892": [4, 4, 5, 2, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 5, 3, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 2, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 4, 5], "1483": [2, 1, 5, 1, 4, 3, 3, 2, 3, 3, 4, 2, 4, 2, 4, 3, 1, 5, 5, 5, 5, 5, 3, 1, 3, 2, 4, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 5, 1, 5, 1, 1, 4, 1, 4, 4, 4, 1, 3, 3, 5, 1, 4, 3, 1, 5, 4, 5, 2, 3, 5, 5, 2, 4, 4, 1, 2, 1, 3, 2, 3, 2, 4, 1, 1, 3, 2, 4, 5, 4, 1, 3, 3, 2, 2, 1, 4, 3, 1, 5, 2, 2, 4, 1, 5, 1, 4, 2, 2, 3, 2, 4, 2, 5, 1, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 1, 4, 4, 3, 2, 4, 3, 1, 3, 4, 4, 2, 2, 3, 2, 3, 2, 5, 1, 4, 4, 4, 1, 4, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 3, 1, 3, 4, 4, 3, 2, 5, 5, 4, 2, 3, 4, 2, 4, 5, 3, 3, 2, 5, 2, 5, 4, 5, 4, 3, 1, 3, 2, 4, 3, 5, 1, 1, 1, 3, 1, 5, 2, 1, 1, 1, 3, 2, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 5, 3, 1, 5, 5, 5, 5, 5, 2, 3, 2, 2, 4, 3], "2204": [1, 4, 4, 5, 4, 3, 5, 2, 5, 5, 5, 4, 5, 4, 4, 4, 3, 1, 5, 4, 5, 4, 3, 2, 1, 4, 1, 3, 3, 5, 1, 3], "3201": [4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 3, 5, 2, 5, 5, 4, 4, 5, 5, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 5, 5, 5, 4, 4, 4, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 4, 5, 5, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 3, 5, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 3, 2, 5, 5, 4, 5, 2, 3, 4, 5, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 2, 3, 3, 3, 2, 4, 2, 2, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 4, 5, 3, 3, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 3, 5, 3, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 5, 4, 5, 3, 5, 3, 5, 4, 4, 2, 5, 4, 3, 5, 5, 5, 2, 2, 5, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 3, 5, 4, 3, 5, 3, 2, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 4], "4798": [4, 4, 1, 2, 4, 3, 5, 3, 5, 4, 1, 3, 4, 3, 5, 3, 5, 2, 3, 3, 3, 4, 2, 3, 3, 2, 3, 4, 3, 5, 3, 5, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 3, 2, 2, 4, 4, 5, 3, 5, 5, 4, 2, 4, 4, 2, 1, 5, 1, 4, 5, 2, 1, 3, 1, 5, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 4, 2], "5195": [4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 2, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3], "1908": [4, 4, 3, 4, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 2, 2, 5, 1, 2, 4, 3, 3, 5, 3, 2, 4, 2, 5, 3, 3, 3, 4, 3, 5, 4, 4, 3, 2, 3, 3, 5, 3, 5, 1, 3, 5, 3, 4, 3, 4, 4, 4, 2, 1, 3, 1, 4, 4, 5, 2, 1, 2, 5, 2, 3, 5, 5, 3, 3, 5, 5, 1, 1, 3, 2, 3, 3, 4, 4, 4, 1, 5, 5, 5, 5, 2, 3, 5, 3, 2, 5, 3, 2, 3, 1, 4, 1, 4, 3, 4, 5, 3, 5, 3, 5, 3, 4, 3, 3, 4, 5, 5, 3, 3, 3, 5], "2757": [4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 2, 4, 3, 3, 5, 3, 4, 3, 5, 4, 5, 3, 5, 5, 4, 2, 5, 4, 3, 2, 4, 5, 5, 3, 5, 5, 4, 5, 5, 3, 4, 4, 3, 5, 4, 3, 3, 5, 5, 4, 5, 2, 5, 4, 4, 5, 5, 3, 4, 2, 5, 5, 4, 4, 3, 3, 4, 4, 3, 3, 2, 3, 5, 4, 4, 5, 2, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4], "1925": [4, 5, 4, 5, 3, 5, 2, 5, 3, 4, 3, 4, 5, 2, 4, 5, 3, 5, 4, 4, 4, 4, 2, 4, 2, 3, 5, 3, 2, 4, 3, 2, 3, 5, 4, 1, 4, 5, 5, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 3, 2, 2, 5, 2, 3, 5, 5, 3, 4, 3, 4, 4, 5, 1, 3, 3, 4, 3, 5, 2, 4, 3, 4, 3, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 1, 1, 4, 5, 3, 3, 1, 5, 5, 5, 4, 5, 4, 4, 5, 5, 1, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 2, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 5, 5, 3, 2, 5, 3, 3, 5, 4, 3, 2, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 2, 4, 3, 4, 4, 5, 2, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 2, 4, 4, 5, 3, 2, 5, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 5, 5, 5, 2, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 2, 5, 5, 2, 4, 3, 5, 2, 5, 3, 3, 4, 3, 4], "1472": [3, 3, 2, 3, 3, 4, 5, 3, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 4, 1, 5, 5, 4, 3, 4, 5, 2, 5, 5, 4, 5, 3, 3, 1, 1, 5, 3, 5, 4, 3, 3, 3, 5, 3, 3, 1, 3, 3, 3, 3, 4, 4, 1, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 3, 5, 3, 4, 1, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 5, 2, 3, 5, 4, 5, 1, 2, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 5, 5, 2, 4, 4, 3, 3, 3, 1, 4, 4, 2, 4, 4, 3, 4, 3, 5, 4, 2, 3, 4, 4, 4, 4, 3, 5, 4, 5, 2, 3, 4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 4, 5, 3, 3, 2, 4, 4, 4, 5, 3, 3, 5, 3, 3, 4, 3, 5, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 5, 3], "3506": [4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 3, 5, 5, 5, 4, 5, 3, 2, 5, 3, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5], "3115": [4, 5, 5, 3, 3, 5, 5, 5, 4, 3, 2, 3, 5, 3, 1, 3, 3, 3, 2, 3, 4, 3, 3], "2295": [4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4], "650": [2, 4, 5, 1, 4, 2, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 4, 3, 3], "5545": [4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 2, 5, 4, 4, 5, 5, 5, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 5, 5, 2, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4], "2633": [4, 4, 4, 4, 5, 4, 4, 4, 4, 1, 3, 4, 4, 3, 3, 3, 3], "5165": [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 4, 3, 5, 4, 4, 3, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5], "147": [3, 4, 4, 4, 4, 3, 5, 5, 2, 4, 4, 5, 3, 4, 1, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 2, 5, 2, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 3, 3, 4, 2, 4, 2, 3, 2, 2, 3, 3, 4, 4, 3, 3, 5, 4, 4, 5, 4, 5, 3, 4, 2, 3, 3, 2, 5, 3, 3, 4, 4, 3, 2, 4, 4, 4, 3, 3, 3, 1, 3, 3, 5, 2, 5, 3, 4, 1, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 3, 4, 4, 4, 2, 2, 3, 5, 5, 4, 3, 3, 4, 4], "2884": [5, 4, 5, 3, 5, 3, 5, 4, 5, 5, 4, 4], "902": [5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 3, 2, 3, 4, 4, 5, 4, 4, 5], "5594": [2, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 2, 4, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 2, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 5, 5, 4, 3, 3, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 1, 4, 4, 4], "3842": [3, 3, 1, 4, 2, 5, 3, 5, 5, 5, 4, 5, 3, 1, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 3, 4, 4, 5, 3, 5, 3, 5, 5, 5, 3, 4, 2, 4, 1, 5, 4, 3, 4, 3, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 1, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 2, 4, 3, 3, 5, 5, 3, 5, 3, 4, 3, 4, 3, 2, 4, 4, 3, 5, 3, 3, 5, 1, 3, 5, 4, 3, 3, 1, 4, 3, 5, 4, 4, 5, 5, 4, 5, 3, 5, 5, 5, 4, 4, 5, 5, 2, 1, 5, 4, 1, 5, 3, 2, 2, 5, 5, 4, 1, 4, 5, 4, 1, 5, 2, 2, 4, 5, 3, 3, 2, 3, 5, 4, 4, 5, 5, 4, 5, 3, 3, 3, 5, 3, 4, 2, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 2, 5, 4, 4, 1, 5, 3, 2, 5, 4, 5, 4, 5, 3, 5, 5, 2, 3, 3, 4, 5, 4, 4, 5, 1, 1, 4, 5, 4, 2, 5, 3, 2, 1, 3, 2, 2, 1, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 4, 1, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 2, 4, 3, 5, 5, 3, 2, 2, 4, 5, 1, 5, 1, 3, 2, 4, 4, 3, 2, 1, 3, 4, 5, 5, 2, 5, 2, 5, 5, 5, 5, 3, 3, 4, 4, 3, 4, 1, 5, 5, 5, 5, 1, 5, 2, 5, 5, 1, 1, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 5, 3, 3, 3, 4, 5, 5, 5, 1, 5, 3, 5, 5, 1, 4, 2, 3, 5, 4, 4, 3, 2, 4, 3, 4, 4, 4, 5, 3, 5, 4, 4, 1, 4, 5, 3, 2, 1, 4, 3, 5, 1, 1, 2, 2, 3, 4, 3, 5, 5, 5, 3, 5, 4, 4, 5, 1, 5, 4, 5, 3, 5, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 1, 4, 4, 5, 3, 4, 4, 5, 4, 4, 1, 5, 5, 2, 3, 2, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 5, 3, 1, 5, 5, 4, 5, 4, 5, 5, 4, 2, 4, 5, 5, 5, 1, 4, 4, 5, 3, 3, 5, 2, 4, 5, 2, 5, 5, 4, 4, 4, 3, 5, 2, 5, 5, 3, 4, 1, 4, 5, 3, 3, 3, 5, 1, 4, 1, 4, 1, 4, 4, 1, 3, 1, 4, 5, 2, 5, 5, 4, 3, 5, 3, 3, 5, 1, 3, 5, 1, 2, 5, 3, 3, 3, 4, 2, 1, 1, 1, 5, 2, 4, 5, 3, 1, 4, 4, 4, 2, 4, 5, 4, 1, 1, 2, 4, 3, 5, 5, 4, 5, 5, 2, 5, 3, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 3, 2, 5, 5, 5, 5, 4, 2, 4, 4, 5, 4, 1, 5, 5, 3, 5, 3, 4, 5, 4, 2, 1, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 1, 5, 5, 4, 1, 4, 4], "2570": [4, 5, 3, 5, 3, 3, 2, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5, 3, 5, 4, 4, 4, 5, 3, 4, 5, 3, 4, 2, 3, 5, 4, 3, 4, 3, 4, 4, 3, 5, 5, 4, 3, 2, 4, 5, 4, 5, 4, 3, 4, 2, 5, 3, 4, 5, 3, 4, 3, 5, 4, 2, 4], "1051": [5, 3, 4, 4, 2, 5, 2, 5, 5, 5, 2, 2, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 3, 3, 3, 4, 5, 2, 4, 5, 5, 5, 5, 4, 3, 3, 5, 3, 5, 5, 4, 4, 1, 4, 4, 5, 5, 4, 3, 5, 2, 1, 3, 3, 4, 4, 4, 5, 4, 5, 1, 3, 4, 4, 5, 5, 1, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 4, 3, 5, 2, 1, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 5, 2, 5, 1, 4, 3, 4, 4, 4, 4, 3, 5, 3, 2, 3, 4, 2, 2, 2, 1, 4, 5, 3, 2, 5, 4, 4, 5, 1, 4, 2, 5, 1, 3, 5, 1, 4, 2, 2, 3, 1, 4, 5, 1, 5, 3, 1, 5, 4, 3, 3, 5, 4, 1, 4, 1, 4, 3, 3, 2, 4, 2, 4, 1, 5, 4, 4, 4, 3, 5, 1, 2, 1, 4, 4, 2, 4, 3, 5, 4, 4, 4, 3, 3, 3, 5, 1, 4, 3, 4, 2, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 1, 4, 3, 2, 5, 3, 5, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 5, 4, 5, 3, 3, 4, 4, 1, 1, 2, 5, 2, 3, 3, 5, 4, 3, 2, 1, 4, 5, 5, 1, 3, 3, 5, 4, 3, 3, 3, 2, 4, 5, 5, 2, 5, 4, 5, 4, 1, 1, 5, 4, 4, 4, 3, 5, 1, 5, 5, 2, 1, 4, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 5, 3, 3, 4, 3, 5, 5, 3, 2, 4, 5, 3, 2, 5, 5, 1, 4, 4, 4, 1, 1, 1, 3, 1, 5, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 1, 5, 1, 5, 5, 5, 1, 3, 1, 3, 3, 3, 4, 3, 5, 2, 5, 5, 4, 5, 4, 4, 4, 1, 3, 5, 3, 4, 1, 5, 4, 5, 4, 5, 2, 4, 4, 1, 1, 3, 4, 1, 3, 5, 5, 4, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 1, 5, 5, 4, 3, 2, 2, 5, 5, 4, 3, 4, 5, 1, 4, 4, 1, 5, 1, 5, 4, 5, 1, 2, 4, 3, 4, 5, 2, 4, 3, 4, 1, 1, 1, 5, 4, 4, 5, 4, 5, 3, 4, 5, 3, 2, 1, 1, 4, 3, 5, 4, 4, 5, 5, 2, 5, 3, 5, 2, 4, 2, 2, 5, 4, 2, 4, 4, 4, 4, 5, 1, 3, 1, 4, 4, 1, 3, 5, 4, 4, 4, 3, 2, 2, 4, 1, 1, 2, 4, 2, 5, 3, 4, 4, 3, 1, 3, 5, 4, 4, 1, 4, 2, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 2, 2, 2, 1, 2, 4, 1, 4, 5, 5, 5, 5, 5, 5, 3, 5, 2, 5, 5, 2, 5, 4, 4, 1, 4, 4, 2, 5, 3, 5, 4, 3, 5, 1, 5, 3, 3, 5, 1, 3, 1, 4, 4, 5, 5, 4, 4, 4, 5, 5, 1, 4, 5, 1, 3, 1, 1, 5, 5, 4, 1, 4, 3, 5, 3, 3, 4, 4, 5, 5, 5, 3, 3, 1, 3, 4, 5, 4, 3, 5, 4, 5, 5, 2, 1, 3, 2, 5, 5, 5, 4, 1, 4, 1, 3, 4, 3, 1, 1, 5, 4, 5, 5, 3, 4, 3, 4, 5, 4, 5, 3, 3, 5, 3, 5, 4, 4, 4, 5, 5, 5, 3, 3, 3, 4, 1, 4, 5, 5, 5, 1, 4, 5, 4, 4, 1, 5, 4, 2, 4, 3, 5, 1, 4, 1, 1, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4], "4748": [4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 2, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 4, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 2, 3, 2, 5, 4, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 2, 5, 2, 3, 4, 3, 5, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 2, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 3, 4, 3, 3, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 5, 4, 3, 5, 5, 3, 2, 3, 5, 3, 3, 5, 3, 2, 3, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 3, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 5, 4, 3, 5, 3, 5, 4, 4, 3, 2, 3, 4, 5, 3, 3, 4, 5, 5], "3269": [3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 3, 2, 5, 3, 4, 3, 4, 4, 4, 2, 4, 5, 4, 5, 2, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 3, 4, 1, 4, 3, 3, 1, 5, 4], "14": [5, 4, 4, 3, 2, 5, 5, 1, 1, 4], "5686": [1, 1, 1, 3, 4, 2, 3, 1, 2, 1, 2, 2, 1, 4, 1, 1, 2, 1, 2, 2, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 4, 4, 4, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 1, 3, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 4, 2, 2, 2, 3, 1, 2, 3, 4, 4, 2, 2, 4, 2, 1, 2, 2, 2, 1, 3, 3, 2, 4, 2, 2, 3, 2, 2, 3, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 3, 3, 2, 1, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 4, 1, 2, 4, 1, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 4, 2, 3, 3, 2, 1, 3, 3, 2, 3, 2, 1, 3, 3, 1, 2, 4, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 2, 4, 2, 2, 1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 1, 2, 2, 2, 1, 3, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 1, 3, 1, 3, 2, 3, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 1, 4, 1, 1, 3, 1, 2, 2, 2, 2, 4, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 3, 1, 3, 3, 4, 1, 2, 2, 2, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 4, 2, 2, 2, 3, 1, 2, 1, 1, 1, 5, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 3], "4902": [3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 1, 4, 2, 5, 4, 4, 4, 4, 3, 4, 5, 5, 3, 2, 5, 5, 4, 4, 2, 2, 2, 3, 4, 4, 2, 3, 3, 3, 4, 5, 3, 4, 5, 3, 5, 5, 4, 4, 4, 3, 5, 1, 4, 4, 5, 4, 4, 1, 1, 2, 4, 5, 3, 5, 4, 5, 5, 2, 3, 4, 3, 4, 3, 4, 3, 4, 1, 4, 3, 2, 4, 3, 2, 2, 3, 5, 2, 4, 2, 2, 4, 4, 4, 5, 4, 4, 2, 5, 2, 4], "3275": [3, 4, 5, 3, 2, 4, 4, 4, 5, 3, 5, 5, 3, 4, 4, 3, 2, 4], "160": [2, 4, 5, 3, 3, 4, 3, 4, 3, 3, 4, 3], "5042": [3, 3, 3, 2, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 4, 4, 3, 2, 1, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 2, 4, 4, 5, 2, 4, 5, 4, 3, 3, 4, 5, 3, 3, 1, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 4, 3, 1, 4, 4, 3, 1, 4, 3, 4, 1, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 5, 3, 4, 3, 3, 1, 4, 2, 2, 4, 3, 5, 1, 4, 3, 4, 4, 4, 1, 5, 4, 4, 5, 5, 4, 2, 4, 3, 4, 3, 5, 4, 4, 4, 3, 5, 4, 3, 4, 5, 3, 4, 3, 3, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 1, 4, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 4, 3, 5, 3, 3, 4, 2, 4, 4, 3, 4, 2, 5, 4, 2, 4, 5, 3, 3, 4, 1, 2, 2, 4, 3, 1, 4, 3, 4, 4, 3, 3, 1, 3, 2, 3, 2, 5, 3, 3, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 5, 3, 1, 2, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 2, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3], "2762": [4, 3, 5, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 5, 3, 3, 4, 4, 5, 5, 3, 4, 5], "3108": [4, 1, 4, 4, 3, 3, 5, 4, 3, 4, 5, 3, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 5, 4, 2, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 3, 5, 4, 4, 1, 3, 1, 4, 3, 4, 3, 5, 2, 3, 3, 4, 4, 3, 4, 3, 5, 3, 4, 3, 1, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 3, 3, 3, 5, 3, 3, 4, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 2, 4, 3, 2, 3, 4, 3, 5, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 4, 3, 3, 5, 4, 2, 5, 3, 3, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 2, 3, 4, 4, 5, 3, 3, 4, 4, 3, 2, 4, 4, 3, 3, 2, 5, 3, 3, 3, 4, 3, 3, 5, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 2, 2, 3, 2, 5, 4, 3, 5, 5, 4, 3, 3, 4, 3, 4, 3, 4, 1, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 3, 4, 5, 3, 5, 4, 2, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 2, 2, 5, 3, 4, 5, 5, 1, 4, 4, 3, 4, 4, 4, 4, 3, 1, 5, 4, 3, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 2, 3, 5, 4, 3, 5, 4, 4, 2, 5, 5, 4, 2, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 5, 5, 4, 3, 4, 4], "1380": [4, 2, 3, 3, 3, 3, 4, 3, 5, 4, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 2, 3, 4, 2, 3, 3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 2, 5, 5, 4, 3, 3, 4, 1, 5, 3, 3, 2, 3, 3, 3, 1, 3, 4, 4, 2, 4, 5, 3, 4, 4, 3, 2, 4, 2, 1, 3, 3, 3, 4, 4, 1, 5, 5, 5, 4, 3, 2, 4, 3, 4, 4, 3, 4, 3, 4, 5, 5, 3, 5, 1, 4, 4, 4, 3, 3, 5, 4, 3, 3, 2, 3, 3, 5, 4, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 4, 1, 3, 3, 5, 2, 4, 3], "4269": [1, 2, 4, 5, 4, 5, 1, 5, 4, 3, 3, 4, 4, 4, 5, 4, 5, 5, 5, 3, 5, 2, 5, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 3, 2, 5, 4, 5, 4, 5, 4, 3, 4, 5, 3, 3, 5, 3, 3, 4, 3, 5, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 3, 4, 3, 3, 5, 3, 2, 2, 2, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 3, 5, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 5, 4, 1, 2, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 5, 1, 2, 3, 3, 5, 4, 2, 4, 3, 3, 5, 2, 3, 3, 3, 5, 3, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 3, 3, 3, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 2, 2, 3, 4, 2, 3, 3, 3, 5, 4, 5, 2, 3, 5, 4, 4, 3], "4440": [2, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 2, 3, 4, 4, 3, 5, 4, 4], "5258": [4, 5, 4, 3, 2, 3, 3, 3, 4, 5, 5, 5, 5, 3], "1911": [4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 3, 1, 3, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3], "3756": [3, 4, 4, 3, 4, 4, 2, 3, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 2, 4, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 3, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 5, 3, 3, 5, 3, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 5, 4, 3, 5, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 3, 5, 4, 4, 4, 4, 5, 2, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 3, 4, 4, 5, 2, 5, 3, 3, 3, 4, 4, 3, 3, 5, 4, 1, 5, 4, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 3, 2, 4, 2, 3, 3, 4, 4, 5, 2, 3, 4, 3, 3, 4, 3, 3, 5, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 3, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 2, 3, 5, 5], "3504": [4, 3, 3, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 2, 3, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 4, 3, 5, 4, 2, 5, 5, 3, 4, 3, 4, 2, 2, 1, 3, 4, 2, 4, 4, 3, 2, 2, 4, 4, 3, 4, 3, 4, 1, 3, 3, 4, 2, 2, 2, 3, 4, 4, 3, 2, 3, 5, 3, 2, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 4, 2, 1, 2], "995": [3, 5, 3, 5, 5, 4, 5, 4, 3, 5, 3, 5, 4, 3, 3, 5, 5, 5, 3, 5, 3, 2, 5, 3, 3, 3, 4, 5, 5, 5, 4, 3, 2, 5, 4, 4, 4, 4], "4558": [3, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 1, 4], "1499": [4, 5, 5, 4, 4, 5, 4, 4, 1, 4, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 1, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 5, 4, 1, 4, 5, 5, 2, 4, 5, 5, 2, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 5, 4, 3, 4, 5], "1836": [5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 5, 2, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 3, 2, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 1, 4, 5, 4, 5, 5, 5, 3, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 2, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 2, 5, 4, 5, 5, 5, 4, 3, 3, 5, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 2, 5, 5, 4, 5, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 2, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 2, 5, 3, 4, 4, 2, 3, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 4, 5, 5, 3, 5, 4, 2, 4, 5, 3, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 2, 4, 4, 5, 5, 5, 4, 3, 5, 4, 5], "2522": [4, 3, 1, 5, 3, 2, 4, 2, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 2, 4, 5, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 2, 3, 5, 1, 4, 5, 4, 3, 4, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4], "874": [4, 4, 5, 1, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 2, 3, 3, 4, 3, 5, 5], "3006": [4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 5, 4, 4, 5], "3444": [4, 5, 2, 3, 4, 2, 3, 3, 4, 3, 4, 3, 5, 3, 5, 1, 4, 4, 4, 4, 3, 3, 3, 1, 4, 4, 5, 3, 1, 5, 2, 3, 1, 2, 1, 3, 1, 1, 1, 3, 4, 3, 5, 5, 3, 1, 4, 3, 3, 3, 1, 4, 4, 2, 3, 3, 2, 4, 2, 1, 1, 1, 2, 1, 5, 2, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 4, 2, 3, 5, 2, 5], "5949": [5, 3, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 2, 3, 4, 4, 4, 5, 5, 1, 3, 4, 5, 2, 4, 5, 4, 1, 3, 3, 5, 3, 4, 5, 4, 3, 5, 5, 5, 3, 5, 5, 1, 5, 4, 5, 4, 5, 5, 4, 4, 5, 3, 3, 4, 2, 1, 4, 4, 3, 3, 5, 4, 3, 1, 5, 5, 1, 4, 3, 3, 4, 5, 3, 5, 4, 4, 5, 4, 3, 3, 4, 5, 3, 2, 2, 1, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4], "1545": [3, 3, 3, 2, 5, 3, 3, 3, 3, 5, 2, 3, 4, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 4, 2, 3, 4, 2, 5, 2, 5, 2, 1, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 2, 3, 4, 4, 3, 3, 2, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 2, 3, 4, 5, 2, 4, 3, 2, 4, 3, 4, 3, 2, 2, 2, 3, 2, 3, 3, 2, 4, 3, 4, 3, 2, 2, 2, 2, 3, 4, 5, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 2, 1, 5, 2, 3, 4, 2, 3, 3, 1, 3, 1, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 2, 2, 3, 2, 2, 4, 3, 4, 2, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 4, 3, 2, 3, 2, 1, 5, 3, 4, 5, 3, 3, 4, 4, 3, 2], "5318": [5, 4, 1, 3, 4, 3, 5, 2, 3, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 5, 5, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 5, 3, 3, 5, 4, 2, 4, 3, 2, 5, 5, 3, 4, 5, 2, 4, 3, 5, 3, 2, 3], "734": [5, 4, 4, 5, 5, 2, 5, 2, 2, 5, 4, 3, 3, 4, 5, 5, 5, 3, 4, 5, 3, 4, 4], "104": [3, 2, 4, 5, 3, 4, 3, 2, 2, 3, 2, 4, 4, 3], "1856": [5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5], "5806": [4, 5, 3, 3, 3, 3, 5, 5, 5, 3, 5, 3, 4, 5, 2, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 2, 3, 3, 5, 5, 4, 4, 3, 4, 1, 4, 5, 3, 3, 3, 3, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 3, 5, 2, 5, 5, 4, 1, 5, 5, 4, 4, 4, 5, 5, 1, 3, 3, 5, 4, 3, 5, 4, 4, 5, 1, 4, 4, 3, 3, 3, 4, 2, 5, 3, 3, 5, 5, 3, 1, 1, 5, 1, 4, 5, 4, 5, 3, 5, 5, 2, 5, 4, 4, 3, 3, 4, 5, 2, 5, 3, 4, 2, 3, 4, 3, 5, 4, 4, 5, 3, 4, 5, 3, 3, 5, 5, 5, 4, 3, 3, 4, 4, 2, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 1, 5, 5, 1, 1, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 5, 2, 4, 5, 3, 5, 5, 2, 3, 5, 3, 2, 4, 3, 4, 5, 4, 4, 4, 2, 5, 5, 3, 4, 4, 5, 3, 5, 3, 5, 5, 3, 3, 1, 4, 5, 5], "2292": [4, 3, 5, 4, 2, 2, 4, 4, 4, 3, 1, 4, 4, 2, 2, 1, 3, 4, 3, 3], "4073": [4, 3, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], "6001": [2, 3, 4, 3, 3, 5, 4, 5, 5, 5, 2, 5, 4, 5, 5, 3, 3, 5, 4, 4, 2, 4, 4, 4, 4, 3, 2, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 3, 3, 5, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 3, 4, 3, 2, 4, 3, 4, 3, 4, 2, 4, 4, 3, 5, 2, 3, 4, 2, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 2, 3, 4, 5, 5, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 3, 2, 1, 4, 3, 3, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 2, 3, 3, 4, 3, 4, 5, 3, 3, 2, 4, 4, 4, 4, 3, 1, 1, 3, 4, 3, 2, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 2, 2, 3, 3, 3, 5, 4, 4, 5, 3, 4, 4, 4], "945": [4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 3, 4, 4, 5, 3, 4, 5, 3, 3, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 2, 5, 4, 3, 2, 3, 3, 5, 3, 2, 5, 4, 2, 4, 3, 3, 4, 4, 3, 4, 2, 4, 4, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 4], "4049": [4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 3, 3, 2, 3, 2, 3, 4, 5, 4, 5, 4, 1, 3, 5, 5, 4, 4, 4, 5, 3, 2, 1, 5, 4, 4, 4, 3, 5, 3, 4, 4, 5, 2, 4, 2, 3, 1, 1, 5, 3, 3, 4, 3, 5, 3, 4, 2, 4, 3, 3, 1, 3, 4, 4, 1, 4, 2, 4, 3, 3, 3, 5, 2, 4, 5, 3, 3, 4, 4, 2, 3, 4, 2, 3, 3, 5, 2, 1, 1, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 2, 2, 5, 4, 1, 1, 1, 5, 1, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 1, 4, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 3, 2, 3, 4, 2, 4, 4, 2, 3, 3, 4, 3, 3, 3, 2, 5, 2, 3, 3, 1, 2, 4, 2, 2, 4, 5, 2, 1, 5, 3, 2, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 3, 2, 2, 2, 3, 3, 2, 4, 3, 1, 4, 4, 4, 5, 4, 3, 2, 3, 2, 5, 5, 4, 4, 3, 1, 3, 1, 1, 4, 3, 2, 2, 4, 1, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 2, 3, 1, 3, 4, 3, 3, 4, 5, 4, 3, 4, 3, 2, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 1, 3, 3, 5, 4, 5, 5, 4, 4, 4, 3, 3, 1, 5, 3, 4, 3, 3, 5, 3, 3, 5, 5, 5, 4, 3, 3, 2, 4, 4, 4, 3, 3, 2, 1, 4, 4, 5, 4, 3, 3, 4, 3, 4, 5, 5, 5], "3666": [4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 5, 5, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4], "342": [3, 2, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 2, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 4, 1, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 5, 5, 3, 2, 4, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 5, 3, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 2, 3, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 5, 3, 2, 3, 4, 3, 2, 4, 3, 3], "1262": [4, 5, 4, 4, 4, 5, 4, 3, 4, 2, 4, 3, 4, 5, 3, 3, 5, 3, 5, 3, 2, 3, 4, 4, 4, 2, 5, 2, 2, 4, 3, 3, 2, 2, 1, 3, 4, 2, 4, 4, 2, 5, 2, 4, 3, 4, 3, 1, 3, 3, 5, 3, 3, 4, 3, 3, 2, 4, 5, 4, 5, 4, 2, 1, 4, 4, 3, 4, 4, 2, 5, 3, 4, 1, 4, 5, 5, 4, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 2, 4, 2, 3, 1, 4, 2, 3, 4, 3, 5, 4, 4, 5, 1, 4, 4, 4, 3, 3, 5, 5, 2, 3, 5, 5, 3, 3, 5, 4, 4, 5, 2, 4, 1, 3, 5, 4], "3792": [3, 3, 3, 5, 4, 5, 2, 4, 4, 5, 4, 3, 5, 1, 1, 5, 4, 4, 3, 4, 5, 2, 5, 4, 3, 1, 3, 4, 5, 5, 3, 5, 5, 4, 4, 1, 4, 5, 2, 3, 4, 5, 3, 5, 5, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 5, 5, 3, 4, 3, 4, 4, 5, 5, 5, 3, 4, 3, 5, 2, 3, 3, 5, 2, 1, 5, 4, 3, 5, 3, 3, 5, 5, 3, 4, 4, 4, 4, 2, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 2, 1, 4, 4, 4, 5, 5, 4, 1, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 3, 3, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 1, 1, 4, 4, 3, 2, 5, 3, 4, 3, 5, 3, 4, 5, 4, 3, 3, 3, 3, 5, 1, 4, 3, 3, 3, 4, 4, 3, 2, 5, 5, 5, 5, 5, 3, 3, 1, 4, 3, 3, 4, 1, 5, 1, 4, 4, 2, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 2, 2, 2, 3, 1, 4, 4, 2, 3, 5, 5, 4, 2, 2, 3, 5, 4, 5, 3, 4, 4, 3, 2, 5, 1, 5, 3, 4, 4, 1, 3, 3, 5, 5, 3, 5, 5, 4, 3, 2, 1, 1, 5, 3, 1, 3, 5, 3, 3, 2, 3, 4, 5, 4, 4, 3, 3, 5, 3, 1, 3, 4, 4, 5, 1, 4, 1, 2, 5, 4, 4, 3, 4, 4, 3, 3, 3, 5, 5, 3, 4, 3, 3, 4, 5, 4, 3, 1, 3, 3, 5, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 2, 1, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 3, 5, 5, 5, 3, 2, 4, 3, 2, 3, 3, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 3, 3, 3, 5, 1, 3, 4, 2, 4, 2, 4, 3, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 4, 5, 3, 1, 3, 3, 5, 4, 5, 5, 4, 5, 3, 4, 5, 3, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 1, 5, 5, 3, 3, 3, 5, 4, 4, 3, 2, 5, 5, 1, 1, 5, 5, 5, 1, 5, 5, 4, 3, 4, 4, 4, 4, 5, 1, 3, 4, 5, 3, 4, 4, 3, 3, 3, 5, 3, 4, 1, 4, 3, 5, 4, 4, 5, 3, 3, 5, 3, 3, 3, 4, 4, 3, 5, 5, 4, 4, 2, 3, 5, 2, 2, 2, 5, 2, 3, 3, 5, 3, 3, 3, 3, 3, 1, 3, 4, 3, 2, 3, 3, 5, 5, 5, 4, 4, 2, 4, 4, 2, 4, 2, 5, 4, 4, 3, 5, 4, 3, 5, 3, 5, 3, 3, 3, 5, 4, 5, 4, 4, 4, 2, 3, 4, 5, 5, 3, 4, 4, 1, 4, 4, 5, 3, 3, 1, 4, 3, 4, 5, 5, 4, 1, 4, 3, 3, 3, 4, 5, 2, 4, 4, 4, 5, 4, 4, 3, 5, 2, 4, 4, 5, 3, 3, 3, 5, 4, 1, 2, 3, 1, 5, 1, 1, 5, 5, 5, 4, 2, 1, 5, 5, 4, 1, 5, 3, 5, 5, 3, 5, 5, 3, 2, 4, 5, 2, 5, 5, 5, 5, 5, 2, 4, 4, 4, 5, 5, 5, 4, 3, 5, 3, 4, 2, 5, 3, 3, 4, 3, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 5, 5, 4, 3, 3, 5, 3, 3, 4, 2, 3, 4, 5, 2, 4], "2940": [4, 3, 2, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4], "4455": [5, 4, 4, 5, 5, 5, 2, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 5], "1017": [5, 1, 3, 1, 4, 3, 2, 3, 5, 3, 2, 2, 2, 5, 3, 1, 4, 5, 5, 3, 5, 3, 4, 4, 1, 3, 3, 3, 3, 3, 4, 5, 5, 2, 4, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 2, 2, 3, 5, 2, 3, 4, 1, 1, 1, 3, 4, 4, 2, 3, 5, 3, 4, 2, 3, 5, 3, 2, 5, 5, 3, 1, 3, 3, 2, 5, 3, 3, 4, 3, 2, 3, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 2, 3, 3, 2, 4, 5, 4, 3, 4, 3, 2, 3, 2, 4, 4, 4, 2, 2, 2, 5, 4, 3, 4, 5, 4, 4, 3, 3, 4, 1, 4, 5, 4, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 5, 1, 4, 4, 5, 1, 1, 5, 4, 3, 4, 1, 3, 5, 5, 5, 3, 3, 2, 4, 3, 4, 3, 1, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 1, 1, 1, 1, 3, 4, 5, 5, 3, 3, 5, 2, 5, 1, 5, 3, 3, 4, 5, 3, 3, 3, 4, 4, 4, 3, 2, 1, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 4, 3, 2, 5, 3, 1, 1, 1, 1, 2, 1, 1, 1, 4, 3, 3, 3, 4, 4, 1, 3, 4, 3, 5, 2, 4, 5, 3, 4, 2, 4, 5, 5, 1, 3, 3, 4, 5, 4, 3, 5, 4, 1, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 3, 3, 1, 1, 3, 3, 5, 3, 1, 1, 4, 5, 2, 3, 2, 3, 4, 2, 1, 1, 4, 4, 3, 3, 4, 3, 4, 4, 5, 2, 4, 3, 3, 3, 3, 5, 1, 3, 3, 3, 5, 1, 5, 4, 4, 2, 1, 3, 3, 4, 4, 4, 1, 3, 3, 3, 4, 3, 2, 4, 4, 3, 2, 4, 5, 4, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 2, 4, 4, 3, 4, 5, 4, 1, 4, 3, 1, 2, 2, 1, 1, 5, 3, 2, 3, 1, 4, 3, 5, 3, 2, 4, 1, 2, 4, 3, 5, 4, 5, 2, 1, 1, 5, 5, 4, 4, 5, 3, 4, 3, 3, 1, 3, 3, 3, 1, 4, 3, 3, 1, 1, 1, 2, 3, 2, 1, 5, 5, 3, 3, 5, 1, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 1, 1, 4, 5, 4, 3, 3, 2, 3, 5, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 1, 4, 4, 3, 5, 4, 5, 5, 5, 3, 5, 3, 3, 3, 5, 3, 3, 3, 4, 5, 5, 1, 3, 4], "2529": [5, 3, 3, 3, 4, 4, 5, 1, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 4, 3, 5, 1, 2, 4, 5, 3, 5, 2, 4, 5, 4, 4, 4, 1, 4, 5, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 5, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 1, 3, 4, 3, 3, 5, 3, 5, 3, 2, 4, 3, 4, 5, 4, 2, 3, 5, 5, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 3, 4, 3, 5, 3, 5, 5, 3, 4, 4, 4, 3, 3, 5, 4, 3, 2, 5, 5, 2, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 5, 4, 5, 4, 5, 3, 3, 4, 3, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 2, 5, 4, 5, 2, 4, 4, 5, 4, 3, 4, 3, 1, 4, 3, 4, 3, 4, 5, 4, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 4, 5, 4, 2, 3, 4, 4, 5, 3, 4, 5, 3, 4, 4, 5, 3, 5, 3, 5, 4, 3, 4, 2, 4, 4, 4, 4, 2, 4, 4, 1, 5, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 3, 3, 3, 3, 1, 4, 3, 3, 3, 2, 3, 4, 3, 4, 2, 4, 5, 4, 3, 4, 3, 2, 4, 4, 4, 5, 3, 4, 1, 3, 5, 4, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 2, 5, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 2, 5, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 2, 2, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 5, 5, 3, 1, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 5, 3, 2, 5, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 5, 2, 4, 5, 5, 5, 5, 5, 3, 4, 3, 3, 3, 3, 3, 5, 4, 4, 2, 5, 3, 4, 3, 3, 3, 4, 2, 3, 3, 5, 4, 4, 5, 3, 3, 4, 3, 4, 4, 5, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 4, 3, 3, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 1, 3, 3, 4, 5, 4, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 3, 5, 3, 2, 3, 4, 5, 3, 5, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 2, 3, 5, 3, 4, 4, 5, 3, 3, 5, 4, 5, 4, 3, 5, 2, 4, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 3, 3, 5, 5, 4, 3, 3, 4, 4, 1, 3, 3, 4, 3, 5, 4, 2, 4, 4, 3, 5, 4, 4, 2, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4, 3, 2, 3, 3, 4, 2, 5, 4, 4, 3, 5, 3, 3, 3, 3, 4, 3, 2, 4, 5, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 3, 5, 4, 4, 1, 3, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 3, 2, 5, 5, 3, 2, 5, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 5, 4, 3, 4, 5, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 3, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 2, 2, 3, 4, 5, 3, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 2, 4, 5, 4, 4, 1, 4, 4, 4, 4, 3], "1805": [3, 4, 3, 5, 5, 5, 3, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 1, 4, 4, 5, 5, 3, 4, 4, 2, 4, 5, 1, 5, 4, 3, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 2, 3, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 1, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 1, 5, 4, 3, 3, 4, 3, 1, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 2, 5, 5, 3, 2, 5, 4, 3, 5, 4, 2, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5], "2318": [1, 4, 1, 4, 2, 1, 5, 3, 3, 2, 1, 4, 4, 4, 1, 1, 4, 3, 1, 5, 2, 2, 3, 1, 3, 1, 2, 3, 4, 5, 4, 4, 2, 1, 3, 3, 3, 4, 3, 1, 2, 1, 1, 2, 5, 3, 3, 4, 2, 3, 3, 3, 4, 2, 2, 3, 1, 1, 5, 3, 1, 3, 3, 5, 3], "3482": [5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 1, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 1, 4, 5, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4], "3956": [3, 4, 1, 3, 5, 4, 4, 4, 4, 5, 5, 2, 4, 3, 4, 4, 3, 5, 3, 3, 3, 4, 5], "3110": [3, 5, 3, 5, 2, 5, 4, 4, 2, 4, 3, 1, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 3, 4, 3, 1, 5, 5, 3, 4, 3, 3, 2, 4, 1, 4, 5, 4, 5, 3, 4, 5, 4, 4, 5, 5, 5, 3, 4, 2, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 2, 1, 1, 5, 3, 2, 5, 4, 3, 5, 3, 5, 2, 4, 4, 5, 3, 1, 2, 2, 5, 5, 4, 3, 2, 2, 4, 4, 2, 4, 3, 1, 4, 3, 2, 4, 4, 5, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 2, 1, 5, 4, 4, 3, 4, 5, 3, 2, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 5, 3, 3, 1, 5, 4, 3, 3, 4, 3, 1, 4, 3, 3, 4, 4, 3, 2, 4, 3, 4, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 3, 5, 2, 5, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 2, 5, 4, 4, 3, 4, 2, 5, 4, 4, 3, 4, 2, 3, 4, 3, 3, 3, 4, 5, 4], "570": [4, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 4, 4, 4, 3, 5, 2, 4, 3, 2, 4, 3, 2, 3, 2, 5, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 3, 3, 2, 4, 2, 3, 4, 3, 2, 2, 3, 1, 2, 3, 2, 3, 2, 3, 2, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 3, 5, 4, 4, 1, 2, 4, 4, 2, 5, 4, 3, 4, 4, 3, 2, 2, 3, 4, 4, 3, 4, 2, 4, 2, 4, 4, 3, 3, 4, 5, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4, 3, 5, 2, 5, 4, 4, 2, 4, 3, 2, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3], "4343": [4, 4, 3, 2, 5, 5, 3, 3, 2, 4, 3, 2, 2, 4, 4, 3, 2, 3, 2, 4, 4, 3, 3, 2, 3, 3, 4, 2, 4, 2, 2, 3, 3, 4, 4, 2, 2, 1, 2, 3, 2, 5, 4, 3, 3, 2, 3, 1, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 2, 4, 4, 4, 1, 4, 3, 4, 3, 3, 2, 4, 3, 4, 2, 3, 2, 5, 5, 3, 3, 4, 4, 1, 5, 2, 4, 3, 3, 2, 3, 2, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 5, 2, 2, 3, 4, 3, 3, 2, 2, 3, 2, 5, 4, 3, 3, 3, 4, 4, 4, 1, 5, 3, 2, 2, 3, 4, 3, 5, 3, 4, 3, 2, 3, 3, 4, 2, 4, 4, 2, 3, 4, 3, 2, 4, 3, 3, 5, 5, 2, 4, 4, 2, 2], "4412": [2, 4, 4, 2, 5, 3, 2, 1, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 1, 4, 3, 4, 5, 3, 4, 5, 5, 3, 3, 3, 2, 4, 1, 2, 3, 1, 3, 3, 4, 3, 3, 4, 3, 3, 5, 5, 3, 5, 3, 4, 4, 2, 4, 5, 1, 4, 4, 5], "5040": [4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 5, 3, 5, 1, 3, 5, 4, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4], "521": [5, 5, 5, 5, 5, 4, 5, 3, 1, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 3, 4, 5, 5, 5, 3, 4, 3, 4, 4, 5, 2, 3], "3914": [5, 2, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 5, 2, 3, 4, 2, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 2, 3, 3, 3, 4, 5, 4, 4, 3, 5, 3, 3, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 5, 3, 3, 3, 5, 4, 3, 3, 2, 3, 5, 2, 2, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 3, 4, 3, 5, 2, 5, 5, 3, 3, 5], "3607": [4, 4, 5, 5, 4, 4, 5, 5, 4, 2, 3, 5, 5, 3, 4, 4, 3, 5, 2, 4, 4, 5, 4, 4, 2, 5, 5, 4, 4, 5, 3, 4, 4, 4, 5, 5, 1, 5, 4, 3, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 1, 5, 2, 4, 3, 3, 2, 1, 4, 4, 5, 3, 3, 5, 2, 5, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 5, 5, 5, 5, 4, 1, 5, 4, 3, 4, 5, 2, 3, 5, 3, 4, 4, 2, 2, 4, 3, 2, 3, 1, 4, 5, 4, 2, 4, 1, 1, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 2, 5, 4, 5, 3, 2, 5, 3, 5, 4, 5, 5, 5, 4, 3, 2, 3, 3, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 1, 4, 2, 2, 1, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 1, 4, 4, 3, 1, 4, 3, 2, 2, 4, 2, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 5, 5, 3, 4, 1, 1, 1, 3, 5, 5, 3, 3, 3, 4, 5, 5, 4, 3], "4967": [5, 3, 3, 5, 4, 3, 5, 5, 2, 4, 4, 4, 5, 5, 4, 5, 4, 3, 3, 4, 4, 2, 4, 5, 5, 5, 3, 5, 4, 5, 4, 2, 3, 4, 5, 2, 3, 5, 5, 5, 1, 3, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 3, 3, 5, 4, 5, 1, 1, 4, 3, 5, 3, 5, 4], "872": [4, 5, 4, 5, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 4, 5, 3, 4, 2, 4, 5, 5, 5, 5, 4, 3, 3, 4, 3, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 4, 4, 3, 4, 2, 5, 4, 5, 4, 2, 2, 5, 4, 4, 4], "3487": [3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 3, 3, 4, 3, 4, 3, 5, 3, 4, 5, 4, 5, 4, 5, 5, 4, 2, 5, 2, 5, 4, 4, 5, 3, 4, 3, 4, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 1, 3, 5, 4, 3, 4, 5, 3, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 2, 5, 5, 5, 3, 3, 4, 2, 3, 3, 3, 3, 3, 4, 1, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 4, 2, 5, 3, 4, 4, 4, 4, 3, 2, 5, 3, 3, 5, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 2, 3, 3, 3, 5, 5, 4, 4, 2, 4, 3, 2, 3, 2, 2, 3, 4, 2, 4, 4, 3, 4, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 3, 5, 4, 3, 4, 2, 5, 4, 3, 4, 5, 4, 5, 5, 3, 3, 3, 3, 2, 4, 5, 3, 4, 3, 4, 4, 3, 2, 5, 2, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 4], "1149": [5, 3, 2, 2, 3, 4, 5, 4, 3, 2, 4, 3, 1, 4, 1, 4, 4, 3, 2, 4, 4, 3, 5, 3, 3, 5, 5, 4, 2, 3, 2, 5, 3, 1, 4, 2, 5, 1, 2, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4], "489": [4, 3, 4, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 2, 1, 5, 5, 2, 3], "5561": [3, 4, 3, 2, 3, 4, 4, 3, 1, 3, 3, 5, 5, 2, 2, 4, 3, 1, 3, 3, 3, 3, 1, 5, 2, 2, 4, 5, 4, 4, 2, 4, 3, 1, 3, 1, 3, 2, 2, 4, 3, 5, 1, 1, 4, 5, 4, 5, 2, 2, 3, 3, 1, 4, 3, 2, 3, 3, 4, 4, 3, 4, 4, 2, 2, 3, 4, 1, 4, 3, 3, 4, 1, 2, 2, 3, 4, 1, 3, 3, 3, 1, 3, 3, 2, 2, 5, 4, 3, 4, 4, 3, 4, 2, 3, 1, 4, 2, 5, 5, 4, 2, 3, 1, 3, 2, 3, 4, 4, 3, 1, 3, 4, 2, 3, 3, 5, 4, 4, 1, 1, 2, 2, 4, 1, 5, 2, 3, 4, 3, 1, 3, 3, 1, 3, 3, 4, 2, 5, 2, 1, 1, 3, 4, 1, 1, 4, 1, 4, 4, 4, 1, 4, 1, 2, 5, 4, 3, 2, 1, 3, 4, 1, 2, 3, 1], "1418": [4, 3, 3, 4, 4, 3, 3, 2, 4, 2, 4, 4, 3, 3, 2, 4, 2, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 2, 3, 2, 3, 1, 4, 3, 3, 3, 4, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 2, 5, 5, 4, 3, 2, 1, 3, 3, 2, 5, 3, 4, 2, 4, 3, 4, 3, 2, 4, 4, 2, 4, 4, 3, 2, 4, 4, 3, 3, 4, 4, 1, 3, 4, 1, 3, 2, 3, 3, 3, 5, 4, 3, 4, 4, 4, 2, 2, 2, 4, 3, 2, 3, 2, 4, 3, 2, 2, 4, 2, 2, 4, 5, 3, 3, 1, 4, 4, 1, 2, 1, 2, 1, 2, 3, 3, 4, 3, 4, 3, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 4, 3, 3, 2, 3, 2, 3, 3, 4, 2, 4, 2, 3, 3, 3, 3, 2, 4, 3, 4, 4, 1, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 3], "2956": [5, 4, 4, 3, 2, 4, 2, 3, 4, 3, 1, 4, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 2, 5], "2638": [3, 3, 2, 3, 2, 3, 3, 1, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 3, 4, 3, 3, 5, 4, 2, 3, 3, 3, 2, 4, 2, 4, 3, 3, 4, 1, 3, 3, 3, 4, 3, 4, 3, 1, 2, 3, 3, 3, 2, 3, 4, 4, 3, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 1, 4, 3, 3, 2, 3, 1, 3, 3, 4, 5, 1, 2, 4, 3, 2, 1, 3, 2, 3, 2, 3, 3, 2, 4, 3, 5, 2, 3, 4, 3, 3, 2, 4, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 4, 3, 5, 3, 3, 3, 3, 4, 1, 1, 4, 1, 1, 4, 5, 3, 4, 2, 3, 4, 3, 3, 3, 2, 3, 3, 2, 3, 2, 2, 4, 3, 3, 4, 3, 3, 3, 4, 2, 2, 3, 4, 4, 3, 2, 5, 4, 3, 3, 3, 3, 1, 2, 2, 3, 2, 4, 2, 5, 2, 5, 3, 4, 3, 4, 2, 2, 1, 3, 3, 4, 3, 2, 2, 1, 2, 4, 2, 3, 3, 3, 3, 4, 4, 4, 1, 3, 3, 5, 5, 4, 5, 5, 3, 4, 3, 2, 3, 2, 2, 2, 3, 3, 2, 5, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 1, 4, 1, 3, 2, 5, 3, 2, 5, 3, 4, 3, 4, 5, 4, 3, 2, 3, 3, 4, 2, 3, 3, 2, 3, 2, 3, 1, 4, 4, 2, 2, 2, 3, 3, 4, 2, 3, 5, 3, 1, 3, 1, 2, 3, 2, 3, 2, 3, 1, 3, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 3, 4, 2, 4, 3, 3, 5, 4, 4, 1, 4, 2, 5, 2, 3, 2, 4, 3, 4, 2, 1, 2, 3, 5, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 4, 4, 2, 4, 3, 4, 3, 4, 3, 3, 4, 5, 4, 3, 2, 4, 5, 3, 4, 3, 4, 3, 4, 2, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 2, 2, 4, 2, 3, 3, 4, 3, 4, 5, 2, 3, 3, 4, 2, 3, 2, 4, 3, 4, 2, 2, 3, 5, 3, 3, 3, 4, 3, 5, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 4, 3, 3, 3, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 3, 3, 1, 3, 1, 4, 1, 2, 1, 4, 3, 5, 2, 3, 3, 3, 3, 3, 3, 5, 5, 2, 3, 3, 5, 1, 4, 4, 2, 3, 2], "3574": [4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 5, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 2, 2, 3], "4911": [4, 3, 4, 4, 4, 3, 2, 5, 3, 3, 4, 4, 4, 3, 3, 5, 3, 3, 4, 4, 5, 4, 3, 3, 3, 2, 2, 4, 3, 1, 4, 5, 5, 2, 3, 2, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 2, 1, 2, 4, 4, 4], "3015": [1, 2, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 3, 3, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 3, 3, 1, 3], "1986": [4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5], "6034": [5, 5, 3, 4, 5, 4, 3, 3, 2, 3, 5, 4, 5, 5, 5, 4, 4, 3, 5, 4, 5], "4940": [2, 2, 5, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 5, 1, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 2, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 3, 3, 5, 3, 1, 4, 2, 5, 2, 4, 4, 2, 2, 5, 5, 4, 2, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 4, 1, 2, 4, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 2, 2, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 2, 5, 5, 5, 4, 3, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 4, 5, 3, 2, 3, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 2, 3, 5, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 3, 4, 3, 3, 5, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3, 4, 4, 1, 5, 5, 2, 4, 5, 4, 3, 4, 4, 1, 5, 4, 5, 2, 5, 1, 4, 3, 4, 4, 3, 5, 4, 5, 5, 3, 4, 5, 3, 5, 4, 3, 4, 2, 4, 2, 5, 5, 3, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 3, 2, 3, 4, 2, 3, 4, 2, 5, 5, 5, 1, 5, 5, 3, 4, 5, 4, 3, 4, 4, 4], "4375": [4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 1, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 3, 5, 4, 3, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 5, 4, 5, 4, 5, 3, 2, 4, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4], "1397": [2, 4, 2, 3, 3, 4, 3, 5, 3, 5, 2, 3, 4, 2, 2, 3, 2, 1, 4, 4, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 1, 4, 5, 2, 4, 4, 5, 4, 1, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3], "3906": [3, 4, 3, 3, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 4, 4, 5, 5, 4, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3], "4004": [3, 4, 2, 5, 4, 2, 1, 3, 3, 3, 4, 4, 5, 3, 3, 1, 1, 3, 3, 2, 1, 4, 1, 1, 2, 3, 2, 1, 3, 3, 3, 4, 1, 3, 1, 3, 5, 3, 3, 1, 4, 4, 4, 3, 2, 4, 1, 3, 2, 5, 3, 2, 5, 2, 2, 3, 1, 3, 5, 1, 5, 2, 3, 2, 1, 4, 1, 5, 4, 2, 3, 3, 3, 3, 3, 3, 5, 1, 3, 1, 3, 3, 5, 4, 3, 3, 3, 3, 1, 1, 4], "2162": [4, 4, 5, 5, 4, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 4, 5, 3, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 5, 1, 1, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 5, 5, 5, 3, 2, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 4, 5, 3, 1, 5, 3, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 3, 3, 4, 4, 3, 3, 5, 5, 4, 2, 3, 3, 3, 3, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 2, 5, 4, 5, 4, 3, 5, 5, 4, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 1, 5, 3, 3, 1, 3, 5, 1, 3, 4, 5, 3, 3, 1, 5, 4, 5, 4, 1, 5, 4, 3], "5115": [4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 4], "5855": [4, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 3], "1311": [4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 1, 1, 3, 4, 5, 5, 3, 2, 4, 4, 2, 4, 3, 5, 3, 3, 3, 4, 3, 3, 2, 2, 3, 1, 4, 4, 3, 3, 1, 2, 5, 3, 4, 5, 4, 2, 2, 1, 3, 3, 3, 4, 5, 3, 2, 4, 3, 5, 4, 4, 2, 4, 2, 5, 5, 3, 3, 5, 3, 5, 1, 1, 2, 3, 2, 4, 2, 4, 2, 5, 2, 4, 2, 3, 4, 1, 3, 3, 4, 4, 2, 5, 4, 4, 4, 2, 3, 2, 4, 4, 4, 2, 4, 4, 4, 3, 3, 2, 3, 5, 4, 5, 4, 5, 4, 3, 3, 5, 4, 4, 4, 2, 4, 4, 5, 5, 4, 3, 2, 3, 4, 1, 4, 5, 5, 5, 4, 4, 5, 1, 5, 2, 1, 2, 5, 5, 3, 3, 3, 5, 5, 2, 5, 2, 4], "1070": [5, 5, 5, 5, 3, 2, 4, 1, 5, 1, 1, 4], "1720": [4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 3, 2, 4, 5, 3, 4, 5, 2, 4, 4], "3485": [5, 5, 4, 3, 5, 3, 4, 5, 5, 5, 4, 5, 5, 3, 4, 5, 3, 3, 5, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 3, 2, 4, 3, 3, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5], "3231": [1, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 3, 4, 5, 5, 4, 2, 3, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 1, 5, 1, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 1, 1, 4, 3, 5, 5, 5, 5, 1, 5, 3, 3, 4, 5, 5, 4, 1, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 5, 4, 1, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 5, 5, 5, 2, 5, 3, 5, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 2, 5, 5, 4, 5, 5], "4342": [5, 5, 4, 3, 5, 5, 5, 4, 2, 4, 5, 3, 5, 5, 3, 3, 3, 5, 5, 5, 3, 4, 4, 5, 3, 2, 5, 1, 5, 5, 5, 5, 3, 5, 3, 4, 5, 4, 5, 4, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 4, 3, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 4, 5, 1, 1, 1, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 3, 2, 5, 5, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 5, 3, 3, 5, 5, 4, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 4, 5, 5, 1, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 1, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5], "5314": [4, 2, 3, 5, 3, 5, 4, 1, 3, 3, 4, 3, 2], "2916": [3, 3, 5, 2, 4, 5, 2, 3, 3, 5, 4, 3, 4, 4, 5, 2, 4, 3, 4, 5, 5, 3, 4, 3, 3, 2, 5, 2, 3, 5, 2, 5, 4, 5, 4, 5, 5, 3, 1, 4, 5, 2, 4, 4, 2, 3, 5, 5, 4, 1, 4, 5, 3, 3, 5, 5, 4, 5, 5, 2, 4, 3, 5, 3, 4, 5, 5, 2, 3, 4, 4, 2, 2, 2, 3, 3, 3, 5, 5, 5, 3, 5, 4, 4, 3, 4, 5, 5, 5, 2, 5, 5, 1, 5, 2, 3, 4, 3, 4, 5, 1, 3, 5, 3, 5, 4, 1, 3, 5, 5, 5, 3, 4, 3, 3, 5, 1, 1, 4, 3, 4, 5, 5, 3, 5, 3, 4, 5, 3, 5, 3, 5, 4, 1, 4, 5, 3, 5, 3, 5, 1, 2, 5, 5, 5, 3, 5, 4, 5, 1, 5, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3, 2, 2, 4, 3, 5, 2, 4, 4, 4, 3, 2, 1, 5, 4, 5, 2, 2, 4, 3, 5, 3, 3, 5, 5, 4, 5, 5, 5, 5, 4, 2, 5, 2, 5, 4, 5, 3, 3, 4], "4673": [2, 5, 3, 5, 4, 4, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 5, 5, 4, 3, 4, 5, 4, 2, 4, 3, 4, 3, 3, 3, 1, 4, 4, 3, 4, 3, 3, 4, 3, 1, 2, 1, 3, 5, 2, 2, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 3, 5, 3, 3, 1, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 4, 4, 1, 3, 3, 5, 2, 2, 1, 3, 3, 4, 4, 5, 5, 3, 3, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 3, 4, 1, 3, 1, 2, 4, 2, 4, 3, 5, 3, 4, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 4, 1, 5, 1, 3, 3, 5, 3, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 3, 2, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 3, 5, 5, 4, 4, 2, 1, 5, 5, 5, 4, 5, 5, 2, 5, 4, 5, 3, 1, 5, 1, 5, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 1, 4, 4, 4, 4, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 2, 3, 4, 3, 4, 4, 1, 5, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 3, 5, 4, 5, 5, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 3, 4, 2, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 5, 1, 5, 4, 5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 3], "5245": [2, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 2, 5, 4], "4604": [4, 3, 4, 1, 2, 2, 2, 2, 5, 4, 5, 5, 1, 2, 5, 4, 1, 4, 5, 4, 2, 3, 3, 4, 5, 4, 3, 5, 5, 3, 3, 2, 2, 1, 1, 2, 4, 2, 3, 2, 2, 1, 5, 5, 3, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 2, 2, 5, 5, 2, 3], "2286": [5, 3, 5, 4, 4, 5, 3, 4, 4, 5, 3, 3, 5, 4, 5, 4, 5, 3, 4], "246": [5, 3, 5, 3, 4, 5, 4, 3, 3, 5, 4, 5, 4, 2, 4, 3, 5, 5, 3, 4, 3, 5], "2075": [2, 4, 5, 3, 1, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 5, 2], "779": [3, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 2, 4, 3, 3, 4, 3, 3], "1992": [3, 3, 4, 3, 2, 4, 3, 1, 3, 3, 3, 3, 3, 5, 4, 2, 4, 4, 4, 3, 2, 3, 1, 2, 2, 2, 2, 4, 2, 2, 3, 2, 2, 3, 2, 5, 2, 3, 3, 3, 3, 4, 3, 3, 3], "604": [3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 4, 2, 4, 3, 2, 2, 3, 3, 4, 2, 4, 4, 2, 3, 4, 3, 2, 3, 5, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 1, 3, 5, 3, 3, 2, 5, 2, 3, 3, 3, 3, 3, 4, 2, 4, 2, 4, 4, 2, 3, 4, 4, 2, 2, 1, 3, 3, 4, 5, 3, 2, 3, 3, 2, 4, 1, 4, 3, 4, 2, 4, 3, 5, 2, 4, 4, 2, 3, 4, 5, 1, 4, 3, 4, 3, 2, 2, 2, 4, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 5, 2, 4, 3, 3, 3, 4, 2, 3, 5, 3, 4, 3, 3, 3, 2, 3, 2, 3, 4, 2, 2, 4, 5, 3, 4], "3518": [3, 4, 2, 2, 2, 5, 5, 3, 4, 4, 4, 4, 2, 3, 3, 4, 5, 4, 5, 3, 5, 4, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 5, 5, 2, 4, 4, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 4, 3, 5, 5, 4, 3, 4, 4, 3, 4, 5, 2, 3, 3, 4, 5, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 3, 5, 3, 4, 2, 4, 4, 2, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 1, 2, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 2, 5, 4, 3, 2, 3, 5, 2, 5, 2, 4, 3, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 2, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 4, 4, 5, 3, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 4, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 5, 5, 4, 2, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 2, 3, 3, 4, 2, 5, 4, 5, 5, 4, 5, 4, 5, 3, 5, 3, 3, 3, 4, 5, 3, 2, 4, 4, 5, 3, 4, 4, 4, 5, 2, 4, 4], "5783": [5, 5, 4, 1, 5, 5, 5, 3, 4, 4, 1, 3, 3, 4, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4], "2806": [3, 2, 5, 5, 1, 2, 5, 2, 5, 4, 2, 3, 5, 3, 3, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 4, 2, 2, 3, 4, 4, 3, 1, 4, 3, 3, 3, 2, 1, 3, 2, 1, 3, 3, 5, 1, 2, 4, 4, 3, 3, 3], "5739": [3, 4, 5, 5, 3, 4, 5, 5, 5, 5, 1, 4, 5, 4, 5, 3, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 3], "4592": [2, 3, 1, 3, 3, 4, 1, 4, 4, 4, 3, 1, 1, 3, 5, 2, 2, 4, 3, 3, 4, 1, 5, 5, 5, 2, 1, 4, 4, 2, 2, 4, 4, 5, 5, 4, 4, 1, 3, 4, 4, 1, 3, 2, 3, 4, 5, 5, 5, 5, 3, 3, 4, 5, 1, 5, 5, 3, 1, 2, 1, 2, 4, 1, 1, 1, 1, 2, 4, 4, 1, 5, 4, 2, 5, 3, 5, 4, 5, 3, 1, 5, 3, 3, 3, 5, 5, 1, 5, 4, 4, 4, 4, 3, 3, 3, 5, 4, 5, 4, 1, 4, 4, 2, 5, 4, 5, 3, 1, 5, 2, 4, 2, 3, 2, 1, 3, 4, 1, 4, 2, 2, 2, 3, 1, 1, 3, 4, 4, 3, 3, 2, 4, 1, 1, 5, 4, 1, 1, 1, 1, 1, 3, 5, 4, 1, 1, 4, 3, 3, 5, 3, 3, 5, 2, 4, 3, 3, 5, 4, 4, 5, 5, 5, 2, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 2, 3, 5, 1, 4, 5, 4], "1723": [2, 2, 5, 1, 3, 5, 5, 5, 2, 3, 3, 4, 5, 5, 1, 3, 3, 5, 3, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 4, 2, 4, 1, 5, 3, 3, 3, 2, 4, 5, 2, 5, 1, 5, 5, 4, 3, 4, 3, 4, 4, 5, 5, 3, 5, 4, 4, 3, 4, 5, 3, 2, 2, 4, 2, 5, 5, 4, 4, 4, 3, 5, 4, 3, 2, 3, 5, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 3, 3, 1, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 3, 3, 1, 4, 3, 3], "1796": [5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 5, 3, 5, 3, 3, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 2, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 2, 5, 4, 5, 5, 4, 3, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 2, 5, 5, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 2, 4, 4, 5, 4, 4, 3, 4, 5, 2, 5, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 3, 3, 3, 5, 4, 5], "18": [5, 5, 4, 5, 4, 3, 3, 3, 5, 5, 5, 1, 3, 4, 2, 5, 1, 5, 1, 3, 4, 2, 3, 4, 3, 5, 5, 1, 5, 4, 5, 4, 1, 5, 1, 5, 1, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 3, 1, 5, 3, 3, 5, 3, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 4, 3, 3, 5, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 3, 5, 5, 1, 4, 1, 1, 5, 1, 5, 5, 5, 5, 3, 4, 4, 2, 4, 3, 5, 3, 5, 3, 5, 4, 4, 4, 3, 1, 5, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 2, 5, 2, 2, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 2, 5, 1, 4, 4, 4, 4, 3, 1, 5, 4, 5, 3, 3, 4, 4, 1, 5, 1, 1, 2, 1, 1, 3, 4, 3, 5, 3, 4, 5, 1, 1, 4, 4, 3, 4, 4, 1, 4, 5, 5, 5, 5, 5, 5, 2, 5, 1, 4, 3, 5, 4, 5, 3, 4, 5, 4, 2, 1, 5, 4, 5, 4, 5, 2, 4, 1, 4, 4, 4, 2, 5, 5, 3, 4, 4, 5, 4, 2, 3, 5, 2, 4, 5, 5, 2, 1, 1, 4, 4, 4, 5, 4, 5, 3, 1, 4, 3, 3, 5, 1, 5, 1, 5, 4, 5, 5], "999": [3, 4, 2, 3, 4, 2, 5, 3, 2, 4, 3, 5, 5, 5, 3, 5, 2, 2, 3, 2, 3, 4, 1, 3, 4, 4, 3, 3, 5, 1, 2, 2, 5, 4, 1, 4, 2, 2, 3, 4, 2, 4, 4, 3, 3, 4, 5, 4, 4, 2, 4, 2, 4, 4, 1, 4, 3, 3, 3, 2, 4, 4, 1, 4, 3, 4, 3, 3, 5, 3, 2, 2, 3, 3, 1, 4, 4, 1, 4, 2, 2, 4, 2, 3, 2, 3, 3, 2, 2, 4, 3, 4, 3, 5, 3, 2, 4, 2, 3, 5, 3, 2, 3, 3, 2, 5, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 4, 3, 4, 2, 4, 5, 3, 4, 2, 3, 2, 1, 5, 3, 3, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 1, 2, 1, 5, 3, 5, 3, 4, 3, 2, 4, 4, 4, 3, 3, 2, 2, 3, 3, 1, 4, 4, 2, 2, 4, 2, 2, 3, 4, 4, 1, 2, 3, 4, 4, 3, 5, 2, 1, 4, 5, 3, 2, 2, 3, 3, 5, 2, 1, 4, 2, 5, 2, 5, 2, 4, 5, 3, 3, 4, 1, 4, 3, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 2, 2, 5, 1, 2, 3, 4, 3, 3, 2, 3, 2, 1, 4, 2, 4, 3, 4, 3, 3, 4, 3, 1, 2, 4, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 4, 2, 2, 3, 4, 2, 4, 3, 3, 3, 2, 2, 4, 3, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 3, 4, 1, 2, 1, 1, 3, 5, 5, 3, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 3, 4, 2, 4, 4, 2, 1, 4, 4, 4, 4, 4], "5126": [4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 5, 3, 4, 4, 5, 5, 2, 4, 3, 4, 2, 3, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 5, 4, 2, 5, 5, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4], "2890": [5, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 2, 1, 4, 4, 3, 4, 4, 3, 3, 4, 1, 4, 2, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 3, 3, 5, 3, 5, 5, 3, 4, 4, 5, 4, 3, 2, 1, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 1, 3, 2, 4, 3, 4, 4, 3, 5, 5, 5, 5, 3, 4, 3, 3, 5, 4, 3, 3, 5, 3, 5, 5, 5], "3837": [5, 3, 4, 4, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 3, 3, 5, 4, 5, 5, 4, 3, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 2, 4, 4, 5, 3, 3, 4, 4, 3, 4, 3, 1, 4, 5, 1, 3, 2, 3, 5, 4, 4, 4, 4, 3, 2, 2, 5, 3, 4, 3, 2, 4, 4, 3, 5, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 4, 5, 3, 2, 4, 4, 4, 3, 4, 4, 4, 2, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 2, 3], "2181": [4, 4, 4, 2, 4, 2, 4, 1, 3, 1, 5, 3, 5, 5, 4, 5, 3, 4, 4, 4, 2, 5, 2, 5, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 2, 4, 4, 2, 5, 5, 4, 2, 4, 2, 3, 2, 3, 5, 3, 4, 4, 4, 4, 3, 4, 5, 3, 1, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 5, 2, 3, 3, 5, 4, 4, 4, 3, 1, 4, 5, 5, 3, 4, 3, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 3, 4, 3, 5, 5, 5, 2, 3, 4, 3, 5, 3, 2, 4, 3, 2, 5, 4, 3, 4, 4, 5, 3, 1, 5, 5, 4, 2, 3, 5, 4, 4, 4, 5, 4, 2, 5, 4, 2, 5, 4, 4, 4, 1, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4, 5, 2, 4, 2, 2, 1, 1, 4, 2, 4, 4, 2, 3, 4, 1, 4, 3, 3, 2, 1, 2, 2, 3, 2, 3, 3, 2, 2, 4, 4, 1, 4, 2, 5, 1, 2, 4, 4, 5, 5, 5, 2, 3, 2, 1, 4, 5, 5, 4, 2, 4, 3, 3, 3, 5, 3, 5, 5, 2, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 1, 4, 3, 5, 3, 4, 3, 1, 1, 4, 5, 4, 4, 5, 3, 4, 3, 2, 4, 4, 4, 4, 2, 5, 3, 1, 4, 2, 4, 3, 4, 2, 4, 5, 4, 1, 4, 1, 2, 4, 3, 4, 3, 4, 4, 5, 3, 3, 2, 4, 4, 4, 1, 3, 5, 4, 5, 2, 3, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 5, 5, 3, 3, 5, 2, 4, 4, 1, 3, 5, 1, 4, 5, 1, 2, 3, 2, 4, 5, 2, 5, 3, 2, 2, 3, 3, 2, 1, 5, 5, 4, 4, 2, 5, 4, 5, 4, 3, 1, 4, 2, 5, 4, 5, 2, 3, 4, 1, 4, 3, 3, 5, 1, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 4, 5, 3, 5, 3, 3, 4, 3, 5, 4, 3, 4, 5, 4, 2, 5, 2, 1, 5, 5, 3, 4, 2, 4, 3, 4, 5, 3, 3, 4, 3, 4, 2, 2, 4, 1, 1, 4, 2, 4, 2, 1, 5, 1, 1, 4, 2, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 2, 2, 5, 1, 5, 2, 4, 2, 3, 4, 5, 4, 2, 4, 3, 4, 4, 3, 3, 4, 4, 3, 1, 5, 5, 4, 2, 4, 4, 5, 1, 5, 4, 5, 1, 4, 4, 4, 5, 4, 5, 5, 2, 2, 3, 2, 5, 4, 5, 3, 2, 2, 3, 3, 3, 4, 5, 4, 5, 4, 4, 3, 4, 1, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 4, 4, 3, 4, 4, 2, 3, 4, 3, 3, 5, 3, 4, 1, 3, 1, 3, 2, 2, 3, 2, 5, 3, 3, 5, 4, 3, 5, 5, 3, 1, 3, 1, 1, 2, 4, 3, 3, 4, 3, 4, 4, 4, 5, 2, 3, 1, 3, 4, 5, 2, 1, 2, 1, 5, 4, 2, 2, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 3, 1, 4, 1, 4, 2, 4, 2, 3, 5, 5, 1, 5, 3, 4, 3, 4, 3, 3, 2, 4, 2, 2, 4, 4, 4, 5, 2, 4, 3, 4, 4, 5, 3, 1, 1, 1, 4, 1, 3, 4, 3, 2, 2, 2, 4, 4, 2, 4, 3, 2, 4, 3, 4, 4, 2, 3, 5, 4, 4, 3, 2, 4, 4, 5, 3, 4, 3, 1, 4, 5, 4, 5, 4, 2, 5, 4, 4, 3, 5, 4, 3, 4, 5, 3, 4, 3, 5, 2, 1, 3, 4, 2, 5, 5, 5, 5, 4, 3, 4, 3, 4, 4, 5, 2, 3, 1, 4, 3, 4, 4, 3, 2, 4, 5, 5, 5, 3, 4, 2, 3, 1, 4, 3, 2, 2, 3, 4, 2, 4, 2, 3, 2, 4, 2, 5, 3, 4, 5, 4, 2, 4, 5, 5, 5, 5, 3, 4], "119": [3, 3, 3, 4, 4, 5, 5, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 4, 5, 2, 3, 3, 3, 5, 4, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 2, 3, 3], "4605": [2, 5, 5, 4, 4, 2, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 2, 3, 4, 2, 3, 3, 3, 3, 2, 2, 4, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 5, 5, 4, 3, 5, 3, 3, 4, 4, 2, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 5, 1, 4, 4, 2, 3, 5, 1, 1, 5, 2, 3, 4, 4, 1, 2, 1, 4, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 2, 2, 2, 5, 4, 4, 3, 4, 1, 4, 3, 3, 2, 3, 4, 4, 3, 3, 5, 3, 2, 2, 4, 5, 4, 3, 3, 5, 4, 3, 2, 3, 5, 5, 3, 2, 2, 3, 4, 4, 2, 4, 2, 3, 3, 3, 4], "5731": [5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 3], "740": [5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 3, 3, 4, 4, 4, 5, 5, 5], "5255": [5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 5], "410": [3, 3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 3, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 3, 4, 5, 3, 3, 3, 5, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 5, 5, 5, 2, 2, 4, 5, 5, 4, 5, 5], "5519": [2, 2, 3, 4, 4, 4, 4, 2, 3, 5, 4, 2, 3, 5, 4, 4, 4, 3, 4, 1, 4, 2, 5, 3, 4, 4, 3, 3, 4, 4, 1, 3, 3, 2, 4, 4, 4, 4, 3, 4, 2, 2, 3, 2, 4, 4, 4, 2, 3, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 2, 3, 5, 3, 5, 2, 2, 2, 4, 4, 1, 3, 4, 3, 1, 3, 3, 4, 4, 2, 2, 4, 2, 4, 5, 3, 3, 5, 4, 3, 4, 2, 5, 2, 3, 3, 4, 1, 3, 3, 2, 3, 3, 1, 4, 1, 4, 4, 2, 2, 3, 5, 3, 3, 1, 4, 4, 4, 3, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 3, 4, 2, 4, 4, 2, 2, 2, 3, 3, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 4, 3, 3, 2, 3, 2, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 2, 4, 3, 4, 4, 3, 3, 5, 3, 2, 2, 2, 5, 3, 2, 3, 4, 3, 3, 3, 4, 1, 5, 4, 5, 3, 3, 4, 4, 3, 4, 2, 3, 4, 4, 3, 4, 1, 4, 2, 5, 2, 2, 4, 3, 5, 1, 3, 4, 3, 3, 3, 2, 3, 4, 4, 5, 2, 3, 2, 3, 2, 3, 3, 4, 2, 2, 4, 3, 5, 4, 3, 5, 4, 2, 2, 5, 2, 1, 4, 3, 3], "4952": [3, 3, 5, 4, 3, 5, 3, 1, 2, 4, 4, 5, 4, 3, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 2, 3, 4, 3, 4, 3, 1, 4, 4, 4, 4, 4, 3], "3070": [3, 3, 3, 4, 4, 5, 4, 5, 4, 2, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 3, 4, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 2], "4228": [5, 4, 4, 1, 4, 2, 1, 4, 5, 5, 4, 4, 1, 4, 5, 5, 4], "4680": [4, 3, 5, 4, 3, 5, 3, 3, 3, 5, 5, 3, 2, 5, 4, 3, 3, 3, 3, 2, 4, 5, 5, 3, 3, 2, 2, 3, 4, 4, 4, 3, 4, 3, 4, 3, 5, 2, 3, 4, 3, 5, 2, 4, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 2, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 5, 5, 4, 3, 4, 4, 3, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 2, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 2, 5, 3, 5, 4, 4, 4, 3, 5, 5, 3, 5, 3, 3, 5, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 3, 5, 5, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 3, 3, 4, 2, 3, 4, 4, 4, 2, 1, 3, 4, 4, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 2, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 5, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 5, 3, 2, 5, 3, 5, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4, 3, 5, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 2, 5, 5, 5, 4, 5], "132": [2, 4, 5, 4, 5, 3, 5, 3, 4, 5, 5, 3, 5, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 5, 1, 5, 5, 4, 3, 5, 3, 4, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 5, 2, 4, 2, 3, 3, 5, 5, 2, 4, 5, 4, 5, 3, 3, 5, 4, 2, 5, 5, 4, 5, 3, 3, 4, 4], "2026": [4, 4, 2, 4, 2, 5, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 2, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 2, 4, 2, 5, 3, 3, 3, 2, 5, 5, 5, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 5, 3, 3, 4, 4, 5, 3, 2, 5, 3, 4, 4, 5, 2, 3, 3, 2, 3, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 2, 2, 4, 5, 3, 3, 5, 5, 2, 4, 3, 3, 5, 3, 3, 3, 5, 4, 4, 2, 4, 4, 4, 3, 4, 2, 3, 5, 4, 4, 2, 4, 4, 3, 4, 2, 2, 2, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 4, 1, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 5, 3, 4, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 3, 5, 4, 3, 3, 5, 3, 1, 1, 3, 4, 4, 3, 3, 3, 3], "1933": [4, 3, 3, 3, 1, 4, 4, 3, 3, 3, 3, 5, 2, 3, 3, 3, 3], "3580": [5, 4, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 2, 2, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 3], "4279": [3, 4, 3, 3, 3, 4, 5, 4, 3, 3, 2, 3, 4, 5, 4, 3, 2, 2, 4, 4, 3, 3, 3, 2, 2, 2, 1, 5, 4, 3, 2, 3, 4, 1, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 4, 3, 5, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 2, 5, 4, 4, 3, 3, 3, 2, 4, 2, 4, 4, 2, 5, 4, 5, 5, 5, 3, 4, 3, 3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 1, 4, 4, 3, 3, 5, 4, 5, 4, 3, 3, 3, 2, 5, 3, 5, 4, 4, 4, 4, 2, 3, 4, 2, 4, 5, 4, 4, 3, 2, 3, 5, 3, 4, 2, 3, 5, 3, 2, 4, 4, 2, 5, 2, 2, 5, 3, 3, 1, 4, 2, 4, 4, 4, 3, 2, 3, 1, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 5, 3, 3, 3, 3, 4, 3, 2, 5, 4, 3, 3, 2, 2, 1, 2, 4, 3, 3, 4, 1, 3, 3, 4, 1, 5, 4, 4, 3, 2, 3, 4, 2, 1, 5, 3, 5, 2, 3, 4, 5, 5, 3, 5, 4, 4, 3, 4, 3, 1, 5, 5, 3, 2, 5, 3, 5, 5, 5, 4, 4, 4, 5, 4, 3, 2, 3, 3, 4, 3, 5, 4, 4, 5, 5, 3, 2, 4, 4, 3, 5, 3, 3, 5, 3, 5, 5, 4, 3, 5, 4, 2, 4, 2, 3, 3, 4, 5, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 1, 2, 3, 2, 4, 3, 4, 3, 4, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 5, 3, 2, 5, 1, 5, 2, 5, 4, 5, 3, 3, 3, 3, 5, 2, 4, 4, 4, 5, 2, 3, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 1, 4, 1, 5, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 4, 5, 4, 2, 5, 3, 5, 3, 4, 3, 4, 3, 4, 1, 2, 5, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 1, 4, 4, 4, 5, 4, 1, 2, 3, 3, 4, 4, 3, 4, 2, 2, 3, 3, 4, 3, 5, 2, 3, 1, 5, 4, 5, 3, 3, 3, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 3, 3, 4, 5, 3, 2, 3, 5, 3, 3, 3, 3, 3, 3, 2, 5, 3, 4, 4, 3, 4], "1509": [2, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 3, 3, 2, 2, 4, 1, 2, 2, 3, 5, 5, 4, 4, 3, 5, 3, 1, 1, 4, 3, 4, 3, 4, 4, 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 4, 2, 4, 2, 1, 2, 4, 1, 3, 2, 4, 3, 2, 4, 3, 4, 3, 2, 3, 2, 2, 4, 4, 4, 5, 2, 4, 3, 3, 2, 5, 4, 1, 3, 3, 5, 3, 2, 3, 5, 3, 4, 2, 4, 2, 2, 2, 4, 2, 1, 4, 1, 3, 3, 4, 2, 1, 3, 1, 3, 4, 2, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 1, 4, 4, 3, 2, 4, 5, 3, 4, 2, 4, 4, 2, 4, 4, 4, 4, 2, 4, 5, 1, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 2, 4, 3, 5, 4, 4, 3, 4, 4, 4, 2, 4, 2, 3, 2, 4, 5, 4, 3, 4, 2], "3154": [5, 2, 5, 4, 3, 5, 5, 3, 2, 3, 5, 3, 3, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 1, 3, 4, 5, 4, 5, 3, 5, 5, 3, 5, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 2, 3, 4, 4, 5, 3, 3, 3, 5, 5, 4, 4, 2, 5, 3, 3, 4, 3, 3, 2, 4, 4, 3, 5, 5, 4, 3, 2, 3, 5, 3, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 2, 3, 3, 5, 3, 5, 2, 3, 4, 4, 3, 3, 5, 2, 2, 5, 5, 5, 3, 3, 4], "1227": [4, 2, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 2, 4, 2, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 5, 3], "4369": [4, 4, 3, 4, 4, 2, 5, 5, 5, 4, 2, 4, 4, 4, 4, 3, 2, 5, 4, 4, 5, 2, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 2, 2, 4, 4, 3, 5, 4], "1272": [4, 4, 3, 3, 2, 5, 5, 2, 2, 2, 4, 5, 3, 3, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 5, 3, 3, 2, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 2, 2, 2, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 2, 4, 3, 4, 2, 3, 4, 4, 3, 1, 4, 5, 3, 3, 3, 1, 4, 4, 2, 1, 5, 3, 3, 3, 2, 2, 4, 3, 1, 3, 2, 3, 4, 5, 4, 3, 3, 2, 4, 4, 4, 5, 3, 5, 2, 2, 4, 4, 4, 4, 4, 2, 3, 3, 2, 3, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 2, 5, 1, 4, 4, 1, 4, 2, 3, 3, 5, 2, 4, 3, 5, 4, 2, 5, 4, 4, 3, 4, 2, 1, 3, 3, 4, 1, 3, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 2, 4, 5, 2, 5, 4, 2, 4, 4, 2, 2, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 2, 4, 4, 5, 4, 3, 5, 4, 2, 2, 5, 5, 4, 2, 2, 5, 3, 3, 3, 3, 4, 4, 4, 5, 4, 2, 5, 4, 1, 5, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 5], "2775": [5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 2, 3, 3, 5, 5, 5, 5, 4, 5, 5, 3, 5], "2426": [5, 3, 5, 4, 3, 1, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 2, 4, 4, 4, 4, 4, 4, 4], "5455": [4, 4, 2, 4, 5, 3, 3, 3, 2, 2, 4, 4, 5, 5, 3, 4, 5, 2, 3, 3, 5, 5, 5, 3, 4, 2, 2, 4, 4, 3, 3, 4, 5, 4, 4, 5, 3, 4, 3, 3, 2, 5, 4, 1, 3, 4, 4, 4, 4, 3, 5, 5, 3, 5, 3, 3, 3, 2, 5, 4, 2, 2, 3, 2, 5, 5, 5, 1, 2, 3, 2, 3, 5, 4, 5, 4, 4, 3, 3], "4263": [4, 3, 3, 4, 5, 4, 4, 5, 3, 1, 5, 2, 3, 4, 4], "919": [4, 5, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 5, 4, 2, 4, 4, 3, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 2, 5, 4, 5, 5, 4, 3, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 1, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 5, 4, 1, 4, 4, 4, 4, 3, 5, 2, 4, 4, 3, 4, 4, 3, 4, 5, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 3, 3, 2, 5, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 1, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 5, 3, 4, 3, 5, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 2, 3, 4, 4, 5, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 2, 4, 5, 5, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 2, 5, 4, 3, 4, 2, 4, 4, 5, 4, 4, 5, 3, 5, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4], "5563": [3, 2, 4, 5, 4, 3, 3, 4, 3, 4, 5, 3, 3, 3, 3, 5, 2, 3, 5, 3, 3, 3, 3, 5, 5, 5, 5, 2, 3, 5, 4, 5], "1732": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5], "124": [5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4], "5655": [3, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 1, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 5, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3], "567": [5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5], "4164": [1, 4, 4, 3, 5, 3, 4, 4, 5, 2, 1, 5, 4, 5, 5, 4, 2, 2, 4, 3, 2, 2, 4, 5, 2, 5, 2, 5, 3, 5, 5, 4, 3], "3688": [5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 1, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 3, 4, 4, 1, 4, 4, 4, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 3, 5, 3, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 4, 2, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 2, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5], "959": [4, 4, 3, 3, 4, 3, 4, 3, 5, 5, 2, 4, 4, 4, 3, 4, 5, 4, 2, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 2, 4, 3, 4, 4, 5, 3, 1, 4, 3, 3, 4, 3, 5, 5, 3, 4, 5, 3, 4, 3, 4, 3, 5, 5, 1, 4, 1, 3, 4, 5, 5, 4, 3, 1], "8": [3, 5, 3, 3, 4, 5, 5, 3, 3, 3, 3, 5, 3, 5, 3, 5, 3, 4, 4, 4, 3, 3, 3, 5, 3, 4, 5, 3, 4, 4, 3, 5, 5, 5, 3, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 3, 5, 5, 3, 3, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 3, 3, 5, 3, 5, 5, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 3, 4, 5, 3, 4, 5, 3, 5, 5, 4, 5, 3, 4], "3271": [3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 3, 3, 4, 2, 5, 4, 3, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 2, 5, 5, 4, 4, 4, 5, 4, 2, 5, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 5, 4, 3, 3, 5, 5, 3, 4, 5, 3, 4, 3, 5, 4, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 3, 4, 4, 4, 4, 5, 4, 5, 3, 5, 4, 5, 3, 4, 3, 2, 2, 5, 4, 4, 5, 3, 3, 5, 3, 4, 4, 1, 5, 3, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 3, 3, 2, 4, 3, 4, 5, 5, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 5, 4, 5, 5, 3, 3, 3, 4, 3, 5, 4, 5, 5, 2, 5, 4, 3, 5, 4, 5, 5, 3, 2, 5, 3, 4, 4, 3, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 1, 4, 4, 3, 5, 4, 3, 5, 4, 5, 2, 3, 3, 5, 5, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 5, 3, 4, 5], "334": [4, 4, 3, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2], "2285": [3, 3, 2, 5, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 3, 4, 3, 5, 2, 3], "2039": [2, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 2, 5, 4, 4, 5, 5, 4, 4, 4, 2, 2, 2, 3, 3, 4, 2, 2, 4, 4, 5, 4, 3, 4, 2, 5, 4, 4, 2, 2, 3, 4, 2, 5, 4, 4, 4, 2, 4, 3, 2, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 5, 3, 4, 2, 3, 4, 5, 5, 4, 5, 4, 5, 3, 3, 2, 2, 3, 5, 3, 4, 2, 5, 3, 5, 2, 3, 4, 5, 3, 3, 4, 4], "3094": [3, 4, 4, 5, 4, 4, 4, 4, 5, 3, 3, 5, 2, 5, 5, 4, 4, 3, 3, 3, 4, 2, 5, 3, 4], "240": [4, 4, 2, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 5, 3, 3, 5, 2, 3, 4, 3, 5, 4, 4, 3, 1, 4, 3, 3, 1, 4, 2, 2, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 3, 4, 3, 2, 3, 4, 2, 3, 4, 3, 3, 3, 4, 3, 3, 1, 3, 2, 5, 2, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 4, 5, 3, 3, 2, 3, 4], "322": [5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5], "4819": [4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 3, 4, 1, 5, 4, 5, 4, 5, 5, 3, 5, 4, 3, 4, 4, 5, 4, 3, 1, 1, 4, 5, 2, 4, 4, 3, 3, 4, 4, 3, 5, 5, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 1, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 3, 5, 2, 5, 4, 3, 4, 5, 4, 5, 3, 4, 5, 3, 2, 5, 2, 3, 3, 5, 3, 4, 3, 4, 5, 3, 2, 5, 3, 4, 4, 5, 5, 2, 4, 2, 4, 2, 4, 5, 3, 5, 4, 5, 3, 2, 4, 5, 5, 2, 3, 2, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 5, 3, 5, 3, 1, 4, 4, 5, 5, 4, 5, 1, 5, 4, 5, 4, 5, 3, 5, 4, 3, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 5, 5, 5, 5, 5, 3, 3, 4, 3, 4, 4, 3, 3, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 4, 2, 4, 5, 5, 3, 2, 3, 5, 3, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 5, 3, 1, 4, 5, 2, 4, 3, 2, 4, 3, 3, 3, 3, 5, 4, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 3, 4, 3, 4, 5, 3, 4, 5, 4, 5, 3, 5, 5, 2, 5, 3, 3, 5, 3, 5, 4, 5, 5, 4, 5, 3, 3, 2, 4, 4, 3, 4, 3, 5, 1, 5, 2, 2, 5, 4, 4, 4, 4, 3, 1, 1, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 3, 4, 1, 5, 1, 4, 3, 5, 3, 4, 4, 4, 5, 4, 5, 2, 4, 1, 4, 3, 3, 2, 5, 3, 2, 2, 4, 4, 4, 4, 3, 3, 2, 5, 3, 4, 3, 3, 2, 5, 2, 3, 5, 5, 3, 5, 4, 3, 4, 4, 5, 3, 1, 5, 4, 3, 5, 5, 4, 2, 5, 4, 4, 5, 3, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 4, 5, 4, 3, 4, 3, 4, 5, 3, 3, 4, 5, 4, 5, 5, 3, 2, 3, 3, 1, 1, 1, 3, 3, 4, 5, 3, 5, 5, 5, 4, 3, 5, 5, 4, 3, 3, 3, 5, 4, 4, 5, 2, 5, 4, 5, 3, 3, 5, 4, 4, 3, 4, 4, 4, 3, 5, 3, 5], "5178": [2, 4, 4, 5, 3, 4, 3, 2, 4, 3, 3, 4, 4, 5, 5, 5, 1, 4, 3, 4, 5, 2, 5, 4, 5, 4, 4, 3, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 3, 1, 5, 3, 4, 2, 3, 4, 4, 4, 5, 4, 2, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 5, 3, 3, 5, 5, 5, 4, 4, 1, 3, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 1, 4, 5, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 5, 4, 2, 1, 4, 1, 2, 3, 3, 3, 5, 4, 5, 2, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 3, 3, 2, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 5, 2, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 3, 5, 3, 4], "4624": [4, 5, 4, 2, 5, 2, 5, 4, 4, 5, 4, 4, 5, 5, 3, 5, 4, 5, 5, 4, 5, 5, 1, 4, 5, 5, 3, 3], "1980": [4, 3, 3, 2, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 3, 2, 2, 2, 3, 3, 5, 5, 4, 5, 3, 5, 3, 3, 5, 4, 4, 5, 5, 4, 1, 5, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 2, 2, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 4, 3, 2, 5, 5, 3, 5, 4, 5, 2, 3, 5, 5, 5, 3, 5, 2, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 2, 5, 5, 5, 5, 2, 4, 4, 5, 5, 2, 4, 3, 3, 3, 4, 3, 4, 5, 2, 3, 4, 5, 3, 2, 3, 4, 4, 4, 2, 1, 4, 1, 4, 2, 3, 5, 4, 2, 3, 2, 2, 3, 2, 4, 5, 3, 3, 4, 4, 3, 2, 4, 4, 2, 1, 1, 5, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 2, 2, 3, 2, 4, 2, 3, 2, 3, 2, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 4, 4, 4, 4, 4, 2, 2, 3, 5, 5, 1, 4, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 1, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 4, 2, 4, 2, 2, 4, 3, 4, 3, 3, 3, 4, 2, 5, 3, 3, 3, 4, 2, 4, 5, 3, 4, 3, 4, 2, 3, 3, 4, 2, 5, 4, 4, 4, 5, 3, 4, 3, 5, 5, 2, 3, 1, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 2, 2, 5, 3, 1, 4, 4, 4, 4, 4, 3, 2, 1, 2, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 3, 4, 2, 4, 3, 2, 2, 4, 4, 2, 4, 3, 4, 4, 3, 3, 4, 3, 2, 3, 3, 2, 4, 5, 4, 4, 2, 3, 2, 3, 3, 2, 3, 3, 5, 4, 4, 4, 4, 2, 3, 2, 4, 2, 4, 5, 4, 4, 3, 3, 3, 4, 4, 3, 2, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 3, 1, 5, 3, 2, 5, 2, 3, 2, 4, 1, 5, 3, 4, 3, 4, 3, 4, 4, 2, 5, 5, 3, 4, 2, 4, 4, 4, 3, 4, 1, 3, 3, 4, 3, 4, 5, 3, 2, 5, 2, 3, 4, 5, 3, 4, 2, 3, 3, 4, 3, 3, 3, 4, 5, 5, 3, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 1, 3, 5, 3, 4, 3, 3, 5, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 3, 4, 5, 5, 3, 4, 4, 3, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 2, 3, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 1, 3, 2, 4, 3, 3, 5, 1, 4, 5, 2, 3, 3, 2, 3, 5, 2, 1, 5, 4, 3, 4, 3, 2, 4, 1, 4, 5, 4, 3, 4, 4, 4, 2, 3, 2, 2, 3, 4, 3, 1, 3, 4, 5, 4, 2, 3, 1, 5, 4, 2, 3, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 4, 2, 5, 3, 2, 5, 3, 2, 5, 4, 2, 4, 2, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 1, 4, 2, 2, 4, 3, 4, 3, 2, 5, 3, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 1, 3, 4, 4, 3, 3, 5, 3, 5, 4, 4, 3, 3, 2, 2, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 5, 1, 4, 1, 3, 2, 5, 2, 3, 4, 4, 2, 5, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 2, 5, 3, 5, 2, 4, 4, 5, 3, 5, 5, 4, 3, 1, 3, 3, 4, 3, 3, 2, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 3, 4, 1, 5, 5, 4, 4, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 3, 2, 5, 5, 5, 3, 5, 4, 3, 4, 2, 5, 5, 3, 4, 2, 4, 4, 4, 3, 1, 2, 2, 1, 2, 3, 3, 3, 5, 3, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 4, 2, 5, 4, 4, 3, 4, 2, 2, 2, 3, 5, 5, 4, 3, 5, 1, 2, 5, 4, 5, 4, 3, 4, 2, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 5, 2, 4, 3, 4, 4, 1, 1, 3, 4, 3, 2, 3, 3, 4, 2, 5, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 4, 5, 4, 5, 2, 3, 4, 4, 2, 4, 3, 5, 2, 2, 5, 4, 3, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 3, 2, 3, 3, 5, 4, 5, 2, 5, 4, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 3, 3, 3, 4, 5, 2, 3, 3, 3, 3, 5, 4, 4, 5, 4, 5, 3, 3, 3, 5, 2, 5, 4, 3, 5, 5, 5, 3, 2, 3, 4, 3, 4, 3, 5, 3, 5, 5, 4, 4, 4], "621": [3, 5, 4, 3, 3, 4, 2, 4, 4, 4, 3, 4, 3, 5, 5, 2, 4, 3, 3, 5, 2, 1, 5, 3, 1, 4, 1, 5, 3, 1, 4, 5, 5, 1, 3, 4, 4, 2, 2, 5, 5, 5, 2, 1, 4, 3, 3, 3, 3, 1, 3, 1, 3, 2, 2, 4, 3, 4, 5, 4, 4, 4, 1, 3, 1, 5, 3, 1, 1, 1, 1, 4, 3, 1, 4, 2, 5, 3, 1, 4, 5, 1, 5, 5, 4, 3, 3, 4, 3, 3, 1, 3, 3, 4, 1, 1, 1, 2, 5, 1, 3, 2, 3, 3, 4, 4, 5, 5, 5, 3, 3, 2, 1, 4, 1, 4, 2, 3, 3, 4, 4, 5, 3, 2, 5, 1, 3, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 4, 5, 3, 1, 1, 2, 1, 1, 3, 4, 1, 5, 3, 5, 4, 4, 4, 5, 5, 5, 4, 5, 2, 5, 2, 3, 3, 1, 4, 5, 4], "1984": [5, 2, 4, 3, 3, 4, 3, 4, 2, 4, 4, 1, 3, 4, 4, 4, 5, 4, 5, 5, 3, 5, 4, 3, 3, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 3, 3, 5, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 4, 5, 2, 4, 2, 4, 3, 2, 2, 5, 4, 1, 5, 3, 4, 4, 5, 1, 4, 4, 5, 5, 2, 5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 2, 3, 4, 2, 5, 4, 5, 3, 4, 2, 4, 3, 3, 3, 1, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 2, 2, 3, 3, 4, 2, 5, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 3, 5, 4, 2, 5, 2, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 4, 4, 1, 4, 4], "1183": [4, 5, 2, 5, 5, 5, 3, 3, 2, 2, 5, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 2, 4, 2, 5, 4, 5, 5, 3, 5, 5, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 2, 2, 4, 1, 3, 5, 4, 2, 3, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 1, 2, 3, 3, 3, 1, 3, 4, 1, 3, 3, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 2, 3, 5, 5, 3, 3, 3, 5, 1, 4, 3, 4, 4, 3, 3, 3, 4, 2, 5, 4, 4, 4, 3, 2, 3, 4, 3, 4, 5, 4, 5, 4, 2, 4, 4, 2, 4, 3, 1, 3, 4, 2, 1, 1, 5, 5, 3, 5, 4, 4, 5, 4, 4, 5, 5, 3, 3, 4, 5, 1, 5, 3, 4, 3, 4, 3, 5], "614": [4, 3, 4, 3, 4, 1, 5, 4, 3, 5, 5, 5, 2, 3, 4, 3, 3, 5, 3, 5, 1, 3, 5, 2, 5, 5, 5, 3, 3, 2, 5, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 2], "5307": [4, 5, 5, 3, 5, 5, 3, 5, 5, 4, 3, 5, 4, 4, 1, 5, 2, 4, 2, 4, 4, 5, 3, 3, 5, 3, 4, 5, 4, 3, 3, 2, 3, 5, 4, 1, 3, 2, 4, 3, 5, 1, 5, 4, 4, 5, 3, 5, 5], "2311": [5, 2, 5, 3, 5, 4, 2, 2, 3, 4, 4, 3, 5, 5, 5], "854": [3, 2, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 2, 5, 3, 3, 4, 3, 4, 5, 5, 4, 4, 3, 1, 2, 3, 5, 3, 4, 3, 1, 4, 4, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 4, 4, 4, 1, 4, 3, 3, 3, 3, 2, 3, 3, 4, 4, 2, 3, 2, 1, 2, 4, 1, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 2, 2, 3, 3, 2, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 1, 3, 3, 4, 3, 3, 3, 3, 2, 2, 1, 3, 4, 2, 3, 2, 4, 2, 2, 2, 3, 3, 3, 4, 4, 3, 4, 2, 3, 4, 2, 4, 2, 3, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 2, 3, 2, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 5, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 4, 3, 4, 2, 3, 3, 2, 3, 4, 3, 4, 3, 2, 3, 3, 2, 4, 2, 3, 4, 2, 2, 1, 2, 3, 4, 1, 4, 3, 4, 4, 2, 4, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 4, 3, 3, 3, 2, 4, 3, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 2, 3, 4, 2, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 2, 4, 3, 2, 2, 2, 4, 3, 5, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 2, 3, 3, 3, 3, 2, 3, 2, 4, 4, 2, 4, 4, 3, 4, 4, 4, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 2, 1, 4, 2, 4, 3, 3, 4, 3, 3, 1, 4, 3, 3, 3, 3, 4, 3, 4], "2524": [1, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 4, 4, 4, 2, 4, 2, 4, 5, 3, 3], "2177": [3, 3, 5, 1, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 2, 3, 5, 4, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 2, 4, 5, 3, 4, 4, 5, 2, 4, 2, 3, 4, 2, 4, 4, 3, 4, 3, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 5, 4, 2, 3, 4, 2, 3, 5, 5, 4, 2, 4, 3, 4, 4, 2, 3, 4, 5, 4, 4, 3, 2, 2, 5, 4, 2, 5, 5, 5, 2, 3, 3, 4, 4, 2, 3, 2, 5, 3, 4, 2, 4, 4, 3, 2, 4, 4, 3, 5, 2, 3, 4, 5, 4, 3, 1, 5, 3, 4, 4, 3, 4, 3, 4, 3, 5, 4, 2, 3, 3, 3, 4, 3, 4, 5, 5, 5, 2, 4, 4, 4, 5, 5, 5, 3, 3, 5, 3, 2, 4, 2, 1, 5, 2, 4, 5, 5], "4031": [4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 1, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 4, 3, 3, 3, 3, 5, 3, 5, 3, 4, 4, 5], "309": [3, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 5, 3, 4, 5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 5, 4, 2, 3, 4, 4, 4, 5, 4, 5, 4], "5992": [3, 2, 3, 4, 5, 5, 4, 1, 3, 3, 3, 4, 3, 2, 3, 4, 4, 5, 4, 4, 3, 3, 5, 2, 3, 1, 4, 3, 3], "493": [5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 4, 4, 2, 5, 4, 5, 4, 2, 5, 2, 4, 4, 4, 3, 2, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 2, 2, 5, 5, 3, 4, 1, 4, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4], "6023": [5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 2, 3, 3, 4, 4, 4, 2, 2, 3, 2, 4, 3, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 4, 3, 3, 5, 3, 3, 3, 3, 5, 5, 4, 2, 3, 5, 5, 4, 3, 4, 4, 2, 2, 5, 3, 4, 5, 3, 3, 3, 2, 3, 4, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 4, 3, 5, 4, 5, 3, 5, 3, 3, 4, 3, 2, 5, 5, 5, 5, 4, 4, 1, 3, 4, 1], "4968": [5, 5, 4, 5, 5, 4, 4, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5], "4": [5, 3, 4, 4, 4, 5, 4, 2, 5, 5, 4, 4, 4, 4, 5, 1, 5, 5, 5], "637": [4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 3, 2, 3, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 2, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 2, 4, 5, 5, 4, 2, 3, 5, 3, 2, 2, 5, 3, 2, 4, 3, 4, 4, 5, 4, 3, 5, 3, 5, 3, 4, 4, 5, 4, 3, 3, 4, 4, 2, 4, 4, 2, 4, 3, 5, 3, 4, 4, 4, 4, 5, 2, 2, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 2, 5, 1, 4, 3, 4, 5, 2, 3, 3, 4, 4, 5, 3, 4, 3, 3, 3, 5, 3, 4, 2, 5, 4, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 2, 4, 4, 5, 3, 4, 3, 5, 3, 3, 5, 4, 4, 5, 2, 4, 4, 5, 1, 3, 4, 4, 4, 3, 4, 4, 4, 5, 2, 1, 5, 5, 3, 3, 4, 2, 3, 4, 2, 3, 2, 4, 3, 2, 5, 4, 5, 5, 2, 3, 2, 2, 5, 4, 2, 2, 4, 2, 2, 2, 3, 4, 5, 4, 1, 2, 2, 2, 2, 2, 5, 4, 5, 5, 3, 4, 4, 4, 5, 2, 4, 3, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 2, 3, 4, 5, 4, 4, 4, 5, 3, 3, 5, 4, 4, 5, 1, 2, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 2, 4, 3, 3, 4, 4, 4, 2, 4, 2, 2, 5, 4, 4, 2, 4, 3, 3, 2, 4, 1, 3, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 2, 4, 5, 2, 5, 3, 5, 3, 4, 4, 4, 1, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 2, 3, 3, 5, 2, 3, 3, 4, 4, 5, 3, 4, 5, 5, 4, 5, 2, 5, 5, 5, 5, 4, 4, 5, 3, 5], "2640": [1, 4, 5, 4, 5, 3, 4, 5], "3045": [4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 3, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 2, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 2, 5, 2, 3, 2, 4, 3, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 3, 4, 3, 5, 4], "4934": [2, 4, 3, 1, 4, 3, 3, 4, 1, 4, 1, 3, 3, 5, 4, 3, 1, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 4, 5, 3, 5, 1, 1, 4, 5, 4, 2, 1, 4, 5, 3, 3, 3, 3, 4, 2, 2, 4, 5, 3, 5, 4, 3, 4, 5, 1, 4, 3, 3, 5, 1, 5, 4, 3, 3, 3, 2, 3, 3, 2, 3, 4, 4, 4, 5, 3, 3, 4, 3, 1, 1, 4, 4, 3, 2, 4, 4, 2, 2, 5, 5, 2, 5, 2, 5, 1, 3, 3, 5, 4, 3, 2, 1, 5, 2, 2, 5, 2, 4, 4, 5, 4, 4, 5, 4, 4, 2, 3, 2, 5, 5, 1, 4, 2, 3, 3, 3, 3, 4, 1], "5305": [4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 2, 5, 4, 4, 5, 5, 5, 5, 2, 5, 1, 4, 5, 2, 4, 5, 4, 4, 3, 5, 4, 5, 5, 5, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 5, 5, 5, 1, 3, 4, 5, 5, 3, 5, 5, 5, 5, 3, 4, 3, 5, 3, 2, 5, 5, 2, 3, 2, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 4, 2, 4, 2, 1, 5, 3, 5, 5, 5, 1, 4, 5, 3, 4, 5, 5, 2, 5, 5, 4, 5, 3, 5, 2, 4, 5, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 2, 4, 5, 4, 3, 4, 4, 3, 5, 2, 3, 5, 3, 4, 5, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 1, 5, 4, 5, 3, 4, 4, 2], "5513": [5, 3, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5], "5426": [4, 2, 4, 4, 4, 3, 5, 3, 3, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 3, 5, 4, 2, 5, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 2, 4, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 3, 4, 2, 4, 4, 2, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 5, 4, 4, 4, 2, 4, 5, 3, 2, 2, 5, 2, 4, 4, 3, 3, 4, 5, 2, 4, 2, 5, 4, 4, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 3, 2, 3, 4, 5, 2, 4, 3, 3, 5, 3, 4, 4, 3, 2, 4, 4, 2, 3, 3, 3, 4, 3, 2, 2, 4, 4, 4, 4, 2, 3, 4, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 5, 2, 3, 5, 4, 2, 1, 1, 3, 5, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 2, 5, 4, 3, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 2, 3, 3, 3, 2, 2, 2, 2, 4, 4, 5, 3, 4, 3, 5, 2, 4, 3, 3, 3, 2, 2, 2, 3, 2, 4, 2, 5, 5], "2441": [5, 2, 5, 5, 3, 5, 5, 2, 5, 5, 5, 3, 5, 5, 1, 1, 4, 5, 5, 4], "2779": [4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 2, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 2, 5, 3, 5, 5, 5, 5, 4, 1, 4, 5, 5, 4, 4, 4, 1, 3, 2, 3, 5, 3, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 2, 3, 2, 4, 5, 4, 4, 4, 4, 2, 2, 4, 4, 2, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 5, 4, 3, 4], "2746": [4, 3, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 4, 3, 4, 4, 3, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 5, 3], "2269": [3, 3, 3, 5, 4, 5, 3, 3, 5, 4], "2919": [4, 2, 1, 5, 5, 2, 5, 5, 5, 3, 3, 5, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 5, 2, 4, 4, 4, 3, 4, 5, 4, 2, 5, 5, 5, 3, 5, 4, 4, 5, 3, 2, 1, 4, 5, 4, 3, 5, 5, 1, 4, 5, 5, 5, 4, 5, 4, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 1, 3, 5, 2, 5, 5, 1, 1, 1, 2, 4, 4, 2, 3, 5, 5, 3, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 4, 5, 3, 5, 5, 2, 2, 2, 4, 5, 4, 5, 5, 2, 3, 4, 4, 5, 5], "776": [3, 4, 5, 5, 1, 4, 5, 5, 5, 4, 3, 4, 3, 5, 4, 4, 5, 5, 3, 5, 3, 5, 5, 3, 5, 5, 5, 4, 5, 3, 1, 3, 1, 5, 1, 5, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 1, 3, 3, 4, 4, 4, 3, 5, 1, 2, 4, 3, 5, 4, 5, 5, 4, 3, 4, 4, 3, 5, 5, 1, 5, 4, 3, 5, 5], "4687": [5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 5, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 3, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 3, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 3, 5, 5, 5, 4, 3, 5, 4, 5, 4, 5, 2, 4, 4, 5, 5, 4, 5, 2, 1, 5, 4, 5, 4, 4, 4, 5, 3, 5, 5, 5, 5, 3, 4], "2206": [4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 2, 4, 5, 4, 4, 4, 5, 4, 5, 3, 1, 3, 5, 2, 4, 4, 2, 5, 3, 1, 4, 3, 3, 4, 5, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 2, 4, 5, 3, 2, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 5, 4, 5, 3, 1, 2, 3, 4, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 3, 4, 4, 4, 2, 5, 5, 4, 4, 3, 5, 4, 5, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 1, 4, 3, 4, 5, 5, 4, 5, 5], "2549": [4, 5, 3, 1, 4, 4, 3, 1, 3, 1, 3, 1, 3, 4, 5, 2, 4, 2, 3, 5, 4], "1885": [5, 3, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 2, 4, 2, 4, 2, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 2, 5, 5, 4, 4, 3, 5, 5, 4, 3, 2, 3, 5, 5], "5064": [1, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 4, 3, 5, 3, 5, 5, 4, 3, 5, 5, 2, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 4, 3, 4, 3, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 3, 4, 5, 3, 3, 5, 5, 3, 5, 2, 4, 5, 4, 3, 4, 3, 5, 3, 2, 5, 3, 4, 3], "2828": [4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 1, 1, 5, 2], "4104": [4, 4, 3, 5, 5, 4, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 4, 2, 4, 2, 4, 4, 3, 3, 2, 3, 4, 4, 2, 4, 4, 4, 3, 4, 3, 5, 3, 4, 5, 5, 3, 3, 3, 5, 3, 4, 5, 2, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 5, 4, 2, 3, 2, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 3, 5, 3, 4, 2, 3, 2, 4, 4, 2, 3, 3, 3, 3, 2, 4, 3, 2, 4, 2, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3], "3799": [3, 4, 4, 5, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 1, 5, 3, 4, 5, 3, 5, 4, 1, 4, 4, 5, 4, 3, 3, 1, 5, 3, 2, 4, 4, 1, 5, 1, 4, 3, 5, 4, 5, 5, 3, 4, 4, 4, 4, 5, 5, 3, 5, 3, 4, 5, 5, 4, 4, 5, 2, 5, 3, 5, 5, 5, 5, 5, 2, 3, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 2, 4, 3, 5, 4, 4, 5, 5, 3, 4, 4, 2, 4, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5], "5770": [4, 4, 4, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 4, 3, 4, 3, 4, 5, 4, 5, 5, 1, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 3, 4, 4, 5, 4, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 5], "4066": [3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 1, 1, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 5, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 3, 5, 5, 3, 3, 3, 2, 3, 3, 2, 3, 5, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 2, 3, 2, 3, 4, 5, 2, 3, 4, 3, 2, 3, 3], "4653": [4, 3, 4, 3, 3, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 4, 5, 3, 3, 5, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 4, 5, 4, 3, 2, 3, 5, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 5, 3, 3, 3, 4, 4, 3, 3, 5, 2, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 5, 4, 3, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 5, 4, 3, 4, 3, 4, 4, 4, 5, 2, 4, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 3, 3, 3, 4, 4, 2, 3, 5, 2, 3, 4, 3, 3, 4, 3, 5, 4, 5, 3, 2, 5, 2, 3, 2, 3, 3, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 3, 5, 2, 4, 2, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 2, 2, 3, 3, 5, 1, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3], "1375": [4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 1, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 3, 3, 4, 5, 4, 3, 4, 4, 3], "1336": [4, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 5, 4, 5], "2525": [4, 3, 4, 5, 5, 4, 4, 2, 4, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 3, 4, 5, 4, 4, 2, 3, 4, 4, 4, 3, 3, 3], "5045": [4, 5, 2, 5, 3, 5, 1, 3, 1, 3, 3, 1, 4, 5, 3, 4, 3, 3, 5, 4, 3, 3, 4, 4, 1, 3, 5, 1, 1, 4, 3], "4690": [4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 4, 4, 2, 3, 3, 4, 4, 5, 5, 4, 4, 4, 2, 4, 2, 4, 5, 4, 5, 4, 3, 3, 5, 5, 3, 4, 5, 4, 4, 5, 2, 5, 3, 5, 3, 4, 5, 5, 3, 4, 5, 4, 3], "5445": [3, 4, 3, 3, 4, 1, 3, 5, 4, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 2, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 5, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 2, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 5, 5, 5, 5, 3, 3, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 1, 4, 5, 5, 5, 3, 4, 5, 4, 5, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3], "5411": [5, 5, 3, 3, 4, 4, 4, 5, 5, 4], "5862": [3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 2, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 1, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4], "1083": [5, 3, 4, 5, 4, 1, 4, 3, 4, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4], "5852": [3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 5, 3, 2, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 3, 5, 1, 5, 3, 3, 5, 5, 4, 2, 3, 4, 4, 4, 5, 5, 5, 2, 4, 4, 3, 5, 5, 1, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 1, 2, 5, 5, 4, 5, 3, 4, 3, 5, 3, 3, 3, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 2, 3, 2, 1, 2, 3, 2, 1, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 2, 4, 3, 3, 4, 4, 4, 3, 3, 2, 5, 4, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 3, 3, 3, 3, 4, 5, 5, 4, 2, 3, 5, 4, 3, 5, 5, 5, 3, 3, 4, 3, 3, 3, 3, 5, 2, 3, 3, 3, 2, 4, 5, 3, 3, 4, 5, 3, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 1, 4, 4, 5, 5, 4, 5, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 1, 4, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 1, 3, 1, 1, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 4, 3, 3, 5, 3, 5, 2, 3, 3, 4, 4, 4, 2, 5, 4, 4, 3, 4, 3, 4, 5, 5, 1, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 2, 3, 2, 4, 4, 5, 3, 5, 1, 3, 3, 5, 4, 3], "4809": [4, 2, 5, 5, 2, 4, 5, 3, 5, 5, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 3, 3, 4, 3, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 3, 5, 5, 3, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 3, 5, 4, 4, 4, 5, 4, 2, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 4, 3, 5, 3, 4, 1, 3, 2, 4, 5, 3, 4, 5, 3, 3, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5], "3177": [5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 2, 4, 1, 4, 5, 5, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5], "2786": [4, 3, 5, 2, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 5, 4, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 5, 2, 4, 4, 2, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 5, 4, 1, 5, 4, 3, 3, 5, 3, 3, 2, 3, 4, 3, 5, 3, 3, 2, 3, 3, 4, 3, 4, 5, 3, 5, 4, 4, 3, 4, 3, 5, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 3, 3, 5, 1, 3, 4, 3, 5, 3, 5, 5, 4, 5, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 2, 3, 3, 5, 2, 4, 5, 5, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 2, 4, 4, 5, 4, 2, 4, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 2, 4, 5, 3, 5, 3, 4, 5, 4, 4, 3, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 4], "3653": [4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 1, 5, 5, 5, 5, 5, 2, 5, 4, 5, 3, 1, 4, 3, 5, 4, 4, 5, 5, 5, 3, 4, 3, 5, 5, 3, 2, 5, 4, 3, 2, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 1, 4, 4, 5, 1, 5, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 3, 5, 4, 5, 3, 4, 5], "5302": [3, 4, 1, 2, 1, 3, 4, 4, 4, 4, 5, 3, 1, 3, 4, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 2, 2, 2, 5, 3, 5, 4, 1, 4, 4, 3, 5, 5, 4, 5, 4, 5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 5, 5, 3, 5, 2, 3, 3, 3, 5, 4, 3, 5, 4, 3, 3, 4, 4, 3, 5, 4, 5, 4, 4, 2, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 2, 1, 3, 4, 2, 2, 1, 3, 4, 5, 1, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 2, 3, 5, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 4, 2, 4, 4, 4, 2, 3, 1, 4, 5, 4, 5, 3, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 2, 5, 2, 4, 5, 5, 4, 4, 4, 1, 4], "916": [5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 2, 5, 5, 1, 4, 4, 5, 2, 2, 4, 5, 5, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5], "1146": [4, 3, 2, 4, 4, 2, 3, 2, 3, 4, 5, 3, 5, 3, 4, 3, 2, 4, 3, 2, 2, 3, 4, 2, 3, 3, 4, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 2, 2, 3, 3, 2, 5, 2, 4, 1, 2, 1, 3, 2, 2, 3, 3, 3, 3, 4, 2, 1, 3, 3, 5, 3, 3, 1, 2, 3, 3, 2, 3, 2, 4, 2, 3, 2, 4, 4, 3, 2, 2, 2, 4, 2, 2, 4, 3, 3, 3, 1, 2, 2, 3, 2, 3, 4, 2, 3, 4, 1, 1, 4, 2, 3, 4, 2, 5, 2, 4, 4, 3, 3, 3, 5, 2, 1, 3, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 2, 2, 2, 2, 4, 3, 3, 4, 3, 5, 2, 4, 3, 3, 3, 3, 4, 1, 5, 2, 3, 4, 3, 5, 4, 2, 3, 4, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 4, 3, 2, 3, 3, 4, 1, 2, 2, 1, 2, 3, 4, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 3, 2, 2, 1, 4, 4, 3, 2, 5, 3, 3, 2, 4, 2, 4, 2, 3, 3, 4, 2, 1, 5, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 5, 3, 2, 3, 5, 3, 3, 1, 3, 3, 2, 3, 4, 5, 3, 3, 2, 5, 4, 2, 3, 3, 3, 4, 3, 3, 3, 5, 2, 3, 3, 3, 1, 3, 4, 2, 2, 2, 2, 4, 3, 2, 4, 4, 2, 2, 2, 3, 3, 5, 4, 3, 3, 1, 5, 1, 2, 4, 3, 5, 2, 1, 3, 4, 3, 3, 3, 2, 5, 2], "3594": [4, 2, 4, 1, 3, 5, 5, 3, 5, 3, 1, 3, 3, 1, 4, 3, 3, 2, 2, 5, 3, 3, 3, 1, 4, 2, 2, 2, 2, 2, 4, 3, 3, 3, 5, 4, 2, 4, 5, 2, 5, 4, 5, 4, 4, 4, 2, 2, 3, 3, 2, 3, 3, 4, 4, 5, 5, 4, 2, 5, 5, 5, 3, 3, 3, 3, 2, 4, 3, 5, 5, 4, 5, 3, 3, 4, 3, 3, 4, 5, 5, 5, 1, 5, 5, 1, 4, 3, 3, 2, 2, 3, 4, 5, 5, 3, 5, 2, 5, 5, 5, 2, 4, 3, 2, 4, 3, 3, 1, 3, 5, 5, 5, 5, 2, 1, 2, 4, 4, 5, 3, 3, 5, 2, 5, 4, 5, 2, 3, 4], "5230": [3, 3, 3, 5, 2, 5, 5, 3, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 4, 3, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 2, 4, 3], "2086": [4, 2, 2, 5, 4, 4, 4, 3, 5, 4, 4, 3, 2, 4, 4, 5, 3, 4, 5, 3, 5], "5226": [4, 3, 5, 4, 3, 2, 3, 5, 3, 3, 4, 5, 3, 3, 3, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 5, 3, 4, 3, 3, 5, 3, 4, 4, 3, 3, 5, 4, 3, 5, 4, 3], "1618": [5, 4, 5, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 2, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4], "5564": [4, 2, 2, 4, 4, 3, 3, 4, 2, 3, 2, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 2, 3, 4, 4, 3, 2, 3, 1, 2, 3], "531": [5, 5, 2, 4, 2, 1, 4, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 2, 4, 2, 3, 3, 5, 2, 4, 2, 4, 3, 4, 2, 4, 5, 3, 5, 3, 5, 4, 3, 4, 4, 4, 2, 4, 2, 4, 2, 3, 5, 5, 3, 3, 5, 2, 4, 4, 4, 2, 5, 4, 5, 1, 4, 4, 3, 4, 2, 3, 3, 4, 2, 5, 1, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 3, 4, 3, 3, 2, 1, 4, 4, 5, 5, 3, 3, 2, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 4, 2, 4, 2, 5, 4, 3, 2, 3, 3, 4, 2, 3, 2, 3, 4, 3, 2, 5, 3, 2, 5, 3, 2, 4, 2, 5, 4, 3, 2, 2, 3, 4, 2, 3, 2, 3, 5, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 1, 1, 3, 4, 3, 4, 3, 4, 1, 4, 5, 3, 2, 2, 3, 4, 2, 3, 3, 3, 2, 3, 2, 4, 3, 3, 3, 4, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 2, 2, 5, 2, 2, 4, 3, 1, 5, 3, 2, 3, 3, 1, 3, 3, 4, 4, 2, 1, 2, 2, 1, 4, 3, 4, 3, 4, 3, 3, 4, 2, 2, 5, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 4, 2, 4, 3, 3, 1, 1, 5, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 1, 5, 4, 3, 5, 2, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 4, 2, 4, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 1, 4, 3, 4, 4, 5, 4, 3, 5, 1, 5, 2, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 4, 3, 3, 2, 3, 3, 3, 4, 3, 3, 2, 3, 5, 4, 3, 4, 3, 3, 5, 2, 5, 2, 3, 4, 4, 3, 3, 2, 3, 5, 2, 4, 3, 3, 3, 5, 2, 1, 3, 2, 5, 1, 2, 2, 2, 4, 2, 2, 3, 3, 4, 5, 4, 4, 3, 4, 5, 3, 2, 4, 4, 4, 3, 2, 3, 5, 4, 3, 2, 3, 2, 3, 3, 4, 3, 3, 1, 4, 5, 4, 3, 3, 4, 3, 1, 3, 2, 3, 5, 4, 4, 1, 3, 4, 4, 2, 3, 4, 2, 4, 4, 4, 3, 5, 3, 3, 2, 2, 4, 4, 3, 4, 5, 3, 4, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 5, 3, 1, 4, 2, 5, 2, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 5, 5, 4, 5, 4, 5, 3, 3, 3, 4, 2, 2, 4, 3, 2, 3, 4, 5, 2, 5, 3, 4, 3, 1, 4, 3, 3, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 3, 3, 2, 4, 5, 2, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 2, 4, 3, 3, 3, 5, 2, 3, 2, 2, 2, 5, 2, 3, 4, 3, 3, 4, 3, 5, 4, 2, 3, 4, 2, 2, 4, 3, 3, 1, 3, 3, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 5, 2, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 3, 4, 3, 5, 4, 2, 3, 3, 5, 4, 4], "5880": [4, 4, 2, 2, 2, 4, 5, 3, 4, 4, 3, 4, 2, 4, 3, 3, 2, 3, 3, 4, 3, 5, 1, 4, 3, 5, 3, 5, 3, 4, 2, 3, 5, 3, 3, 2, 2, 3, 2, 2, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 1, 3, 4, 3, 2, 3, 3, 2, 2, 4, 1, 2, 2, 3, 5, 3, 2, 3, 2, 3, 4, 2, 3, 5, 3, 2, 5, 3, 2, 4, 4, 4, 4, 3, 2, 4, 3, 2, 2, 3, 2, 3, 3, 3, 2, 4, 2, 3, 4, 3, 5, 3, 3, 4, 1, 3, 3, 1, 4, 2, 3, 2, 3, 3, 4, 5, 2, 2, 2, 4, 2, 4, 2, 5, 4, 5, 2, 3, 3, 1, 3, 2, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 5, 3, 3, 5, 1, 3, 4, 3, 4, 4, 5, 2, 3, 3, 1, 2, 3, 4, 3, 2, 3, 5, 1, 5, 4, 2, 1, 4, 5, 5, 3, 5, 3, 2, 5, 3, 3, 3, 4, 2, 2, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 2, 4, 3, 3, 1, 2, 1, 4, 3, 5, 2, 5, 2, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 4, 1, 2, 3, 3, 4, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 2, 5, 3, 3, 4, 4, 3, 3, 4, 3, 3, 4, 2, 5, 3, 4, 3, 3, 4, 4, 2, 5, 3, 3, 4, 4, 3, 3, 3, 2, 4, 3, 1, 4, 2, 5, 2, 4, 4, 3, 5, 3, 5, 3, 3, 2, 3, 2, 2, 4, 4, 3, 3, 3, 5, 3, 3, 2, 5, 3, 4, 1, 3, 4, 4, 3, 5, 3, 5, 2, 2, 3, 5, 5, 4, 4, 2, 2, 4, 2, 3, 5, 4, 3, 4, 5, 3, 3, 4, 5, 4, 4, 4, 2, 5, 4, 5, 2, 2, 2, 2, 4, 4, 4, 4, 4, 2, 3, 5, 5, 3, 3, 4, 3, 5, 3, 5, 4, 3, 4, 2, 3, 4, 5, 2, 4, 2, 3, 5, 5, 2, 4, 4, 4, 5, 3, 1, 2, 2, 2, 5, 2, 1, 3, 4, 1, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 2, 5, 2, 4, 5, 3, 3, 3, 1, 4, 2, 4, 2, 3, 5, 3, 2, 2, 2, 4, 3, 5, 2, 2, 4, 4, 2, 3, 3, 3, 2, 2, 3, 2, 3, 3, 2, 1, 1, 3, 4, 3, 2, 2, 4, 3, 3, 2, 3, 3, 2, 4, 2, 2, 2, 5, 3, 5, 2, 3, 4, 3, 3, 5, 3, 4, 4, 2, 4, 3, 3, 4, 3, 2, 3, 5, 3, 4, 5, 3, 4, 3, 3, 1, 5, 3, 4, 2, 1, 3, 4, 3, 3, 4, 3, 4, 5, 5, 3, 3, 4, 3, 3, 1, 4, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 2, 4, 1, 4, 4, 2, 4, 2, 2, 3, 3, 2, 3, 4, 2, 5, 2, 3, 4, 3, 1, 4, 3, 4, 3, 2, 1, 2, 2, 4, 2, 2, 1, 3, 4, 3, 3, 2, 3, 1, 5, 3, 4, 3, 2, 2, 3, 3, 4, 5, 2, 3, 1, 3, 4, 3, 2, 2, 5, 4, 3, 3, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 4, 5, 2, 5, 4, 3, 5, 2, 5, 3, 2, 3, 5, 5, 3, 3, 2, 3, 4, 2, 4, 4, 3, 4, 3, 3, 5, 3, 3, 4, 3, 3, 3, 5, 3, 2], "5191": [4, 3, 4, 4, 2, 2, 1, 5, 1, 4, 4, 4, 5, 5, 2, 4, 2, 4, 3, 5, 4, 4, 3, 5, 4, 5, 4], "3075": [3, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 2, 2, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 3, 3, 4, 3, 4, 5, 3, 4, 4, 5, 2, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 4, 5, 2, 4, 4, 4, 4, 3, 3, 3, 5, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 4, 3, 4, 2, 2, 4, 4, 5, 4, 5, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 3, 5, 3, 3, 2, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4], "1530": [4, 3, 3, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 5, 4, 5, 3, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 2, 4, 4, 5, 3, 2, 5, 2, 4, 3, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 5, 4, 3, 5, 3, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 5, 3, 4, 3, 5, 5, 3, 3, 2, 5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 2, 1, 4, 2, 4, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 3, 5, 3, 4, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 2, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4], "5190": [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3], "3131": [3, 4, 2, 1, 5, 4, 2, 3, 3, 1, 1, 5, 5, 2, 5, 4, 3, 2, 4, 4, 3, 3, 5, 1, 4, 3, 3, 1, 1, 3, 3, 4, 5, 3, 2, 3, 3, 3, 1, 3, 4, 5, 3, 5, 2, 4, 4, 5, 2, 3, 3, 3, 5, 5, 5, 4, 3, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 4, 3], "3977": [4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 1, 4], "3226": [3, 5, 5, 4, 4, 5, 5, 3, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 3, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 4, 3, 5, 4, 4, 3, 5, 4, 5, 3, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5], "3947": [3, 5, 5, 4, 1, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 1, 5, 4, 3, 2, 3, 5, 5, 3, 4, 5, 4, 4, 1, 5, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 4, 3, 3, 1, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4], "4135": [5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 2, 2, 4, 5, 3, 4, 4, 5, 4, 4, 5, 5], "3644": [3, 4, 5, 3, 2, 3, 4, 4, 5, 3, 4, 3, 4, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5], "712": [4, 5, 4, 2, 4, 3, 5, 4, 4, 3, 4, 3, 3, 3, 5, 3, 5, 3, 5, 4, 4, 3, 4, 5, 3, 3, 2, 4, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 2, 4, 4, 3, 3, 3, 1, 3, 5, 5, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 1, 2, 5, 1, 2, 5, 4, 3, 3, 5, 5, 3, 5, 4, 2, 4, 3, 2, 2, 2, 2, 4, 4, 5, 5, 4, 3, 4, 3, 5, 4, 3, 5, 4, 2, 4, 3, 3, 5, 4, 5, 5, 2, 4, 4, 3, 5, 4, 5, 2, 2, 2, 4, 5, 1, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 3, 5, 1, 3, 1, 4, 4, 5, 4, 3, 5, 2, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 5, 3, 4, 4, 2, 4, 4, 4, 2, 3, 5, 3, 5, 4, 4, 3, 4, 4, 5, 3, 3, 4, 5, 3, 4, 5, 3, 3, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 5, 3, 3, 5, 4, 3], "2126": [3, 4, 3, 3, 3, 4, 2, 3, 2, 5, 2, 2, 1, 3, 4, 1, 3, 3, 4, 2, 2, 2, 4, 3, 3, 4, 3, 1, 3, 2, 3, 2, 4, 3, 5, 4, 4, 4, 2, 4, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 2, 4, 3, 2, 4, 3, 3, 5, 4, 3, 2, 3, 5, 4, 4, 4, 1, 2, 3, 4, 3], "4763": [3, 1, 5, 1, 5, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 3, 2, 4, 5, 3, 5, 5, 4, 4, 3, 4, 2, 4, 5, 5, 5], "3262": [4, 4, 5, 4, 5, 4, 4, 5, 4, 2, 4, 3, 2, 1, 5, 4, 5, 2, 4, 4, 3, 2, 4, 4, 3, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 3, 2, 4, 4, 5, 3, 5, 4, 5, 2, 4], "2365": [4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 4, 1, 3, 5, 5, 5, 4, 4, 3, 5, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5], "2232": [4, 2, 4, 3, 4, 2, 3, 3, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 5, 3, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 2, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 5, 5, 3, 4, 3, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 4, 2, 2, 5, 5, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 3, 4, 3, 3, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5, 2, 3, 3, 2, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 2, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 2, 4, 3, 4, 3, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 4, 3, 3, 5, 5, 5, 1, 5, 5, 4, 5, 4, 5, 5, 5, 1, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5], "1680": [5, 4, 5, 4, 5, 4, 2, 3, 2, 1, 4, 3, 4, 4, 4, 2, 4, 4, 4, 2, 3, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 1, 1, 4, 5, 4, 4, 3, 3, 4, 3, 3, 5, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 3, 5, 4, 3, 4, 4, 2, 5, 2, 4, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 4, 4, 4, 1, 4, 3, 3, 3, 5, 4, 4, 2, 4, 5, 4, 4, 1, 3, 3, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 1, 4, 4, 1, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 1, 5, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 4, 4, 5, 2, 5, 4, 3, 3, 4, 3, 4, 4, 2, 5, 5, 4, 4, 1, 4, 4, 4, 3, 3, 2, 4, 3, 4, 2, 4, 5, 4, 5, 4, 5, 3, 4, 3, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 2, 2, 4, 1, 1, 4, 4, 4, 2, 4, 3, 4, 1, 1, 3, 4, 3, 4, 3, 4, 3, 2, 5, 5, 4, 5, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 5, 4, 2, 5, 1, 1, 4, 4, 4, 2, 3, 4, 4, 3, 5, 3, 5, 3, 5, 4, 3, 3, 5, 5, 3, 2, 4, 4, 4, 3, 3, 1, 3, 1, 1, 3, 4, 2, 4, 5, 3, 2, 4, 3, 3, 5, 5, 3, 3, 4, 2, 5, 4, 3, 5, 2, 5, 4, 3, 5, 3, 4, 3, 3, 5, 4, 2, 1, 3, 2, 5, 4, 5, 1, 5, 3, 4, 4, 4, 3, 4, 4, 4, 1, 4, 5, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 1, 5, 2, 5, 1, 3, 3, 3, 5, 3, 1, 5, 4, 3, 4, 4, 4, 3, 1, 1, 5, 3, 3, 2, 5, 5, 3, 3, 5, 5, 5, 3, 1, 3, 2, 3, 4, 5, 5, 3, 4, 5, 5, 4, 3, 1, 5, 4, 3, 1, 1, 5, 4, 4, 4, 3, 3, 1, 5, 3, 5, 1, 5, 4, 3, 3, 1, 4, 4, 5, 2, 3, 1, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 2, 2, 1, 4, 2, 4, 4, 5, 2, 5, 4, 2, 5, 1, 3, 4, 4, 2, 3, 1, 4, 3, 5, 4, 4, 5, 5, 5, 1, 5, 4, 5, 3, 2, 5, 4, 4, 3, 4, 4, 5, 5, 4, 5, 3, 5, 5, 3, 3, 4, 4, 1, 4, 3, 4, 5, 2, 5, 4, 4, 5, 5, 1, 3, 5, 2, 4, 2, 4, 5, 3, 5, 1, 2, 5, 1, 2, 4, 4, 1, 2, 2, 4, 4, 5, 4, 2, 3, 5, 3, 5, 2, 2, 4, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 4, 5, 2, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 2, 4, 3, 4, 3, 1, 4, 4, 2, 3, 4, 2, 1, 3, 2, 1, 4, 5, 5, 2, 3, 4, 4, 4, 4, 3, 4, 2, 3, 3, 2, 2, 3, 4, 4, 4, 2, 5, 4, 3, 5, 3, 5, 3, 4, 3, 3, 4, 3, 5, 3, 4, 4, 5, 5, 2, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 2, 5, 3, 3, 4, 4, 5, 3, 2, 3, 3, 5, 4, 4, 5, 1, 4, 4, 2, 3, 4, 4, 3, 1, 2, 4, 3, 5, 3, 3, 2, 5, 3, 2, 4, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 2, 5, 5, 5, 3, 5, 4, 2, 4, 3, 3, 3, 1, 5, 4, 1, 4, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 2, 4, 4, 4, 4, 4, 5, 4, 3, 3, 1, 5, 4, 4, 3, 3, 3, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 4, 4, 4, 5, 4, 4, 2, 5, 4, 4, 5, 3, 5, 4, 5, 3, 5, 3, 4, 4, 1, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 1, 4, 5, 4, 1, 4, 5, 4, 1, 4, 4, 1, 4, 4, 3, 2, 3, 4, 3, 5, 5, 1, 4, 2, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 2, 4, 5, 4, 4, 2, 3, 5, 2, 4, 4, 4, 3, 2, 2, 2, 4, 3, 4, 2, 3, 5, 5, 5, 3, 5, 4, 2, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 2, 4, 4, 1, 1, 4, 5, 3, 5, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 4, 3, 2, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 5, 4, 4, 4, 5, 5, 2, 4, 5, 1, 5, 2, 4, 5, 5, 3, 5, 3, 3, 4, 5, 4, 2, 2, 3, 4, 5, 2, 3, 2, 5, 2, 4, 1, 4, 3, 5, 5, 4, 4, 5, 3, 3, 4, 5, 3, 3, 5, 4, 4, 5, 5, 1, 2, 4, 1, 2, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 2, 3, 4, 4, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 1, 4, 1, 4, 1, 1, 4, 1, 4, 1, 4, 3, 4, 3, 3, 3, 1, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 4, 3, 5, 5, 3, 4, 1, 4, 4, 5, 4, 1, 5, 5, 1, 1, 4, 5, 4, 3, 2, 4, 1, 3, 5, 4, 5, 5, 5, 4, 2, 2, 5, 2, 4, 2, 4, 4, 4, 3, 4, 5, 4, 4, 5, 5, 3, 5, 4, 3, 2, 5, 3, 3, 4, 2, 3, 3, 5, 4, 3, 2, 3, 1, 4, 5, 4, 4, 1, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 4, 1, 3, 4, 2, 1, 4, 3, 4, 1, 5, 4, 1, 1, 4, 2, 2, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 3, 3, 3, 3, 5, 4, 5, 1, 4, 3, 5, 5, 4, 3, 5, 4, 4, 3, 3, 4, 5, 2, 5, 1, 5, 3, 3, 5, 4, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 1, 3, 4, 3, 1, 2, 4, 4, 5, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 5, 5, 3, 4, 3, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 1, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 2, 5, 2, 5, 4, 1, 4, 4, 3, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 3, 2, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 2, 5, 5, 5, 4, 2, 4, 4, 4, 4, 2, 2, 5, 4, 4, 4, 1, 4, 3, 4, 5, 5, 2, 5, 5, 5, 4, 3, 1, 4, 2, 4, 4, 4, 3, 3, 4, 3, 1, 4, 3, 4, 3, 4, 3, 3, 3, 5, 5, 3, 4, 3, 3, 4, 5, 2, 5, 4, 5, 4, 4, 3, 1, 5, 4, 5, 5, 4, 5, 5, 3, 4, 3, 4, 4, 3, 2, 4, 3, 5, 3, 4, 5, 4, 4, 3, 4, 5, 5, 3, 4, 4, 4, 3, 3, 1, 2, 3, 3, 2, 4, 5, 2, 2, 5, 1, 5, 4, 4, 4, 2, 1, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 3, 5, 4, 3, 2, 1, 5, 5, 4, 1, 5, 3, 5, 4, 5, 4, 3, 3, 1, 1, 1, 5, 1, 4, 4, 4, 4, 2, 1, 2, 3, 5, 5, 1, 4, 1, 4, 4, 3, 3, 2, 2, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 4, 4, 1, 4, 4, 3, 2, 2, 5, 2, 5, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 1, 3, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 1, 3, 5, 3, 2, 3, 4, 4, 1, 2, 3, 5, 5, 3, 4, 3, 2, 4, 5, 4, 1, 4, 3, 5, 4, 5, 3, 3, 5, 4, 3, 5, 3, 5, 4, 5, 1, 4, 2, 5, 5, 4, 4, 5, 2, 4, 3, 4, 5, 3, 5, 4, 5, 3, 3, 2, 3, 1, 5, 1, 4, 5, 5, 4, 5, 1, 4, 5, 4, 4, 3, 5, 2, 4, 5, 5, 3, 3, 4, 3, 5, 4, 3, 4, 5, 2, 2, 4, 3, 3, 4, 4, 1, 5, 4, 4, 2, 5, 3, 5, 4, 4, 4, 3, 4, 2, 4], "1321": [3, 3, 3, 2, 3, 4, 4, 4, 1, 4, 1, 5, 2, 1, 3, 4, 5, 4, 2, 5, 3, 3, 3, 5, 4, 5, 5, 4, 2, 3, 1, 3, 2, 4, 4, 4, 4, 2, 2, 2, 2, 3, 2, 4, 2, 3, 2, 2, 4, 3, 4, 3, 4, 4, 3, 4, 3, 3, 5, 3, 4, 5, 2, 3, 4, 4, 5, 2, 3, 4, 4, 2, 5, 2, 5, 4, 3, 4, 2, 4, 4, 3, 4, 2, 5, 4, 3, 5, 4, 3, 5, 3, 4, 1, 3, 5, 5, 3, 1, 3, 3, 3, 2, 5, 5, 2, 3, 3, 2, 5, 4, 5, 2, 2, 3, 3, 2, 2, 5, 4, 1, 3, 1, 4, 2, 3, 4, 5, 5, 3, 5, 3, 2, 3, 1, 4, 3, 2, 4, 5, 4, 2, 3, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 4, 4, 2, 4], "1927": [3, 3, 4, 4, 4, 4, 2, 4, 3, 4, 4, 5, 5, 4, 5, 1, 3, 5, 5, 5, 5], "1626": [4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 1, 4, 2, 5, 2, 3, 4, 5, 3, 4, 4, 4, 3, 2, 4, 5, 3, 5, 4, 1, 2, 4, 3, 2, 3, 4, 1, 2, 3, 3, 4, 2, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 3, 5, 3, 4, 2, 4, 5, 5, 4, 4, 1, 4, 5, 1, 1, 4, 3, 3, 3, 2, 3, 3, 4, 2, 4, 3, 4, 5, 3, 2, 1, 1, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 1, 4, 5, 3, 4, 4, 2, 2, 3, 4, 3, 5, 4, 4, 4, 2, 4, 4, 3, 3, 1, 4, 5, 4, 2, 3, 3, 4, 4, 1, 4, 5, 4, 4, 4, 4, 2, 5, 3, 3, 4, 5, 3, 2, 4, 4, 1, 4, 2, 1, 3, 3, 5, 3, 3, 2, 4, 3, 3, 5, 5, 4, 5, 5, 1, 5, 4, 4, 5], "1433": [4, 3, 4, 2, 5, 5, 2, 2, 4, 3, 4, 2, 4, 4, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 3, 4, 1, 3, 4, 3, 5, 3, 5, 5, 3, 4, 4, 4, 3, 2, 3, 2, 3, 5, 4, 4, 3, 3, 4, 2, 3, 4, 5, 2, 4, 3, 2, 2, 3, 4, 3, 4, 3, 2], "5574": [4, 4, 4, 4, 4, 3, 5, 5, 4, 5, 5, 4, 2, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 3, 3, 3, 3, 5, 5, 4, 3, 2, 4, 5, 5, 1, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 3, 5, 1, 4, 4, 5, 4, 3, 5, 5, 4, 4, 2, 5, 2, 4, 2, 2, 2, 5, 4, 2, 3, 2, 2, 4, 3, 2, 1, 5, 3, 3, 2, 2, 4, 1, 4, 2, 5, 4, 5, 3, 5, 5, 3, 4, 4, 5, 3, 5, 4, 4, 4, 3, 5, 5, 2, 4, 3, 5, 3, 5, 5, 4, 5, 4, 3, 1, 5, 5, 5, 5, 3, 4, 2, 2, 5, 5, 3, 3, 3, 4, 2, 4, 4, 2, 2, 4, 1, 5, 5, 5, 3, 4, 3, 5, 5, 3, 5, 3, 2, 3, 5, 5], "3472": [3, 4, 5, 5, 5, 4, 1, 4, 3, 4, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 3, 5, 3, 3, 1, 5, 5, 3, 5, 5, 5, 4, 3, 5, 2, 5, 1, 4, 5, 4], "5927": [3, 5, 3, 4, 2, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 2, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 5, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 5, 1, 3, 3, 3, 4, 5, 5, 4, 4, 3, 3, 1, 5, 5, 2, 4, 5, 5, 3, 4, 4, 4, 2, 2, 3, 5, 3, 4, 5, 4, 4, 4, 4, 3, 1, 4, 3, 2, 1, 4, 5, 4, 3, 4, 2, 4, 4, 4, 5, 2, 4, 2, 4, 5, 1, 5, 3, 4, 4, 5, 4, 5, 4, 5, 3, 4, 5, 1, 5, 5, 4, 3, 3, 3, 2, 5, 4, 4, 4, 3, 4, 2, 3, 3, 4, 5, 3, 1, 5, 2, 5, 3, 4, 3, 5, 4, 4], "5008": [5, 4, 5, 2, 5, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 1, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 3, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 1, 5, 4, 2, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 2, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 2, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 1, 2, 2, 4, 2, 3, 4, 5, 4, 1, 5, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 1, 3, 3, 5, 5, 5, 5, 4, 5, 5, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 4], "4115": [5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 5, 5, 5, 2, 5, 4, 4, 4, 5, 3, 5, 4, 3, 3, 3, 2, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 2, 2, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 5, 2, 4, 4, 5, 5, 3, 2, 3, 4, 4, 1, 5, 4, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 2, 4, 2, 3, 4, 3, 3, 5, 4, 1, 4, 4, 5, 4, 4, 2, 4, 3, 4, 4, 2, 3, 4, 4, 4, 2, 2, 3, 4, 5, 5, 3, 4, 5, 4, 5, 3, 5, 5, 5, 3, 2, 4, 4, 4, 3, 2, 4, 4, 3, 3, 2, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 1, 4, 4, 3, 1, 3, 3, 4, 4, 3, 5, 4, 2, 3, 5, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 2, 5, 5, 4, 5, 4, 5, 4, 4, 1, 4, 5, 4, 3, 2, 3, 5, 4, 3, 4, 4, 5, 4, 4, 2, 5, 3, 1, 4, 3, 5, 3, 5, 5, 4, 4, 2, 4, 5, 5, 3, 3, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 1, 3, 4, 2, 4, 4, 3, 3, 3, 5, 4, 2, 1, 4, 3, 3, 4, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 3, 4, 3, 3, 1, 4, 5, 5, 4, 3, 5, 5, 5, 4, 2, 3, 5, 5, 4, 5, 5, 4, 4, 5, 3, 3, 2, 3, 2, 2, 5, 4, 5, 3, 5, 1, 2, 3, 2, 4, 4, 4, 5, 4, 3, 5, 4, 2, 4, 4, 5, 1, 4, 4, 5, 3, 3, 4, 3, 2], "4185": [3, 3, 5, 3, 3, 5, 4, 3, 4, 1, 3, 3, 3, 4, 2, 3, 4, 4, 3, 5, 4, 3, 2, 4, 3, 2, 4, 4, 4, 4, 3, 5, 2, 2, 4, 3, 4, 3, 2, 2, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4], "1990": [5, 5, 5, 5, 5, 3, 3, 1, 3, 3, 4, 2, 5, 4, 2, 3, 5, 4, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4], "4188": [4, 4, 4, 4, 1, 3, 3, 4, 4, 1, 3, 1, 2, 3, 4, 2, 3, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 1, 4, 2, 3, 2], "553": [4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 5, 1, 4, 4, 4, 5, 1, 2, 2, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3], "645": [5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 4, 3, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 5, 4], "3995": [5, 4, 4, 2, 5, 4, 2, 4, 4, 3, 3, 1, 4, 4, 4, 4, 2, 4, 3, 3, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 2, 4, 2, 3, 5, 3, 5, 2, 4, 3, 3, 2, 3, 5, 3, 5, 4, 3, 4, 2, 4, 4, 5, 3, 2, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 4, 3, 5, 3, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 2, 3, 3, 3, 4, 4, 4, 5, 3, 4, 2, 4, 3, 5, 4, 4, 3], "3027": [5, 5, 5, 5, 2, 4, 5, 2, 4, 5, 3, 5, 3, 3, 5, 5, 3, 5, 5], "1177": [4, 3, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 4, 3, 4, 3, 4, 5, 5, 2, 5, 4, 5, 3, 2, 4, 4, 4, 5, 4, 4, 4, 4, 1, 4, 5, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 5, 4, 4, 5, 2, 3], "5461": [3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 3, 5, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 5, 3, 3, 5, 4, 4, 4, 4], "2926": [4, 4, 3, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 2, 3, 4, 4, 5, 4, 3, 4, 2, 4, 5, 3, 2, 2, 3, 5, 4, 4, 4, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 5, 4, 2, 2, 5, 3, 2, 4, 4, 3, 4, 4, 5, 3, 3, 2, 4, 5, 4, 2, 4, 3, 3, 2, 1, 3, 4, 2, 4, 3, 4, 2, 4, 3, 3, 4, 2, 3, 2, 5, 5, 4, 4, 1, 2, 4, 2, 3, 1, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 2, 4, 2, 5, 2, 2, 4, 3, 2, 2, 4, 4, 4, 1, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 2, 2, 5, 3, 3, 4, 2, 4, 3, 4, 2, 3, 4, 1, 3, 4, 3, 2, 4, 5, 3, 4, 5, 3, 4, 3, 3, 5, 1, 2, 2, 5, 1, 4, 1, 4, 2, 4, 4, 2, 4, 2, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 5, 5, 4, 4, 1, 5, 3, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 4, 3, 5, 3, 3, 4, 3, 5, 3, 2, 1, 5, 4, 3, 2, 2, 3, 4, 4, 3, 3], "4611": [3, 3, 2, 3, 4, 4, 4, 4, 3, 5, 5, 2, 3, 4, 4, 3, 5, 2, 3, 5, 5, 5, 4, 5, 3, 4, 1, 3, 1, 2, 3, 2, 1, 4, 4, 2, 3, 4, 1, 4, 4, 4, 3, 2, 3, 5, 3, 5, 2, 3, 1, 1, 4, 5, 2, 4, 2, 4, 4, 4, 5, 5, 3, 3, 2, 3, 4, 5, 4, 5, 4, 3, 4, 3, 3, 4, 3, 3, 1, 3, 1, 3, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 2, 3, 3, 2, 4, 5, 4, 4, 3, 3, 1, 3, 2, 2, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 3, 4, 1, 3, 2, 4, 4, 4, 3, 3, 4, 3, 2, 1, 2, 4, 5, 3, 3, 4, 4, 3, 5, 4, 2, 2, 4, 1, 2, 5, 5, 4, 1, 2, 3, 3, 4, 5, 5, 5, 5, 5, 3, 1, 3, 1, 3, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 3, 4, 2, 4, 4, 5, 2, 4, 2, 3, 2, 2, 3, 4, 4, 4, 2, 4, 4, 2, 3, 4, 2, 3, 3, 2, 4, 3, 4, 4, 5, 3, 2, 2, 1, 2, 5, 3, 1, 5, 2, 3, 3, 3, 3, 5, 4, 3, 4, 4, 4, 3, 2, 3, 1, 2, 5, 4, 3, 4, 3, 2, 2, 2, 2, 5, 3, 3, 5, 3, 5, 2, 4, 2, 4, 3, 3, 2, 5, 3, 4, 5, 5, 3, 4, 3, 4, 2, 2, 5, 2, 3, 4, 4, 3, 3, 3, 3, 3, 2, 3, 1, 3, 4, 4, 2, 4, 5, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 5, 4, 5, 5, 2, 4], "2416": [4, 5, 3, 3, 3, 5, 3, 4, 4, 2, 5, 3, 4, 5, 5, 4], "3221": [1, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 2, 2, 3, 4, 5, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 5], "4056": [1, 5, 1, 1, 4, 1, 1, 1, 4, 1, 4, 3, 1, 1, 1, 1], "4360": [3, 2, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 2, 3, 2, 3, 3, 3, 1, 2, 3, 1, 1, 2, 2, 2, 4, 2, 4, 1, 4, 4, 3, 2, 2, 2, 2, 4, 3, 2, 3, 3, 3, 2, 2, 2, 4, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 3, 4, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 4, 3, 3, 2, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 1, 3, 3, 3, 2, 4, 3, 2, 2, 1, 3, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 1, 1, 3, 3, 2, 3, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 3, 2, 3, 4, 3, 3, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 3], "3680": [4, 3, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 2, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 1, 5, 5, 4, 5, 5, 4, 4, 5, 5], "3456": [5, 5, 5, 3, 5, 5, 5, 3, 5, 3, 3, 3, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 3, 4], "2515": [4, 3, 3, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 3, 5, 4, 3], "4559": [5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4], "2564": [4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 2, 3, 5, 2, 4, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5], "2713": [1, 1, 3, 3, 1, 5, 4, 2, 3, 3, 4, 4], "5437": [3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 2, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 4, 2, 2, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 4, 4, 1, 3, 4, 3, 3, 4, 3, 4, 5, 3, 5, 4, 3, 2, 4, 5, 4, 2, 3, 5, 5], "962": [3, 2, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 3, 5, 5, 5, 4], "2459": [3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 3, 2, 4, 4, 3, 5, 4, 3, 3, 3, 5, 5, 5, 3, 3, 3, 5, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 3, 2], "3018": [4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 5, 1, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 2, 4, 3, 4, 5, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 2, 2, 1, 2, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 3, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 2, 5, 3, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 1, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3], "3122": [4, 4, 5, 4, 3, 5, 5, 2, 4, 4], "2723": [5, 4, 5, 5, 4, 5, 3, 5, 5, 2, 5, 1, 4, 5, 4, 2, 3, 4, 4, 3, 4, 4, 3, 5, 2, 4, 3, 2, 3, 2, 1, 2, 3, 4, 2, 3, 5, 5, 5, 1, 5, 5, 5, 3, 3, 3, 4, 4, 4, 2, 4, 3, 2, 3, 3, 3, 2, 4, 3, 4, 3, 2, 3, 2, 4, 5, 2, 4, 4, 3, 3, 4, 3, 4, 2, 4, 1], "4679": [5, 4, 5, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3], "1866": [4, 4, 4, 3, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 3, 4, 3, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 1, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5], "5015": [3, 4, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 4, 2, 4, 3, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 2, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 4, 3, 4, 5, 2, 4, 5, 5, 5, 3, 5, 2, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 5, 4, 2, 5, 4, 3, 4, 5, 4, 5, 3, 4, 3, 4, 3, 5, 3, 4, 4, 5, 3, 3, 5, 5, 4, 5, 5, 2, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 2, 5, 5, 5, 4, 3, 4, 2, 4, 3, 3, 4, 2, 2, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 2, 5, 5, 5, 3, 3, 4, 2, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 5, 3, 3, 1, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 3, 5, 1, 3, 5, 5, 5, 3, 3, 2, 2, 1, 2, 4, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 2, 4, 3, 2, 4, 1, 5, 3, 3, 4, 4, 3, 5, 5, 2, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 2, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 3, 5, 4, 5, 2, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 2, 4, 4, 4, 4, 2, 5, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 4, 2, 5, 4, 4, 4, 3, 5, 5, 3, 4, 4, 5, 4, 3, 2, 4, 5, 4, 4, 3, 4, 3, 4, 2, 4, 3, 2, 2, 5, 3, 5, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 2, 4, 5, 3, 5, 3, 4, 3, 4, 5, 5, 4, 4, 2, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 5, 5, 2, 2, 3, 5, 5, 5, 4, 4, 4, 4, 4, 1, 5, 5, 1, 5, 4, 4, 5, 4, 5, 2, 4, 4, 5, 5, 5, 4, 5, 3, 2, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 3, 4, 2, 2, 2, 2, 1, 3, 4, 3, 5, 5, 4, 3, 4, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 1, 5, 5, 5, 4, 5, 4, 5, 5, 3, 3, 4, 4, 4, 3, 2, 2, 3, 5, 4, 4, 4, 1], "542": [4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 2, 4, 4, 3, 4, 4], "525": [5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 1, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 4], "4212": [4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 3, 3, 4, 4, 2, 4, 5, 3, 3, 5, 4, 3, 2, 5, 4, 4, 3, 2, 3, 3, 3, 5, 4, 3, 5, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 5, 5, 3, 4, 2, 4, 4, 3, 2, 3, 4, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 5, 4, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 4, 5, 3, 3, 3, 3, 5, 4, 3, 5, 3, 1, 5, 3, 3, 3, 3, 5, 4, 3, 5, 4, 4, 4, 3, 3, 4, 4, 3, 5, 5, 2, 4, 4, 2, 3, 3, 4, 3, 5, 5, 2], "4145": [5, 5, 4, 5, 2, 5, 4, 5, 5], "2003": [3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 2, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 4, 4], "4151": [4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 5, 3, 3, 5, 3, 2, 4, 4, 4, 2, 4, 4], "767": [3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 2, 4, 3, 5, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 1, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 1, 4, 4, 5, 4, 4, 3, 5, 3], "3064": [4, 5, 5, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 5], "3331": [2, 5, 5, 5, 4, 3, 4, 5, 4, 5, 2, 4, 4, 4, 3, 4, 4, 5, 2, 4, 2, 5, 3, 4, 3, 3, 3, 5, 2, 1, 5, 4, 3, 4, 3, 3, 5, 5, 5, 2, 5, 4, 2, 3, 3, 4, 3, 5, 4, 2, 3, 4, 5, 5, 4, 5, 5, 2, 4, 5, 5, 1, 2, 2, 1, 5, 4, 2, 3, 2, 5, 4, 5, 4, 1, 5, 2, 5, 2, 3, 4, 5, 4, 3, 4, 5, 2, 5, 4, 4, 2, 4, 3, 4, 5, 2, 5, 3, 5, 5, 3, 2, 4, 1, 4, 2, 2], "4113": [4, 4, 1, 3, 3, 4, 2, 5, 1, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 2, 4, 4, 2, 4, 5, 5, 5, 3, 3, 5, 3], "2567": [4, 5, 5, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 2, 5, 5, 4, 3, 4, 3, 2, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 2, 5, 4, 3, 3, 3, 5, 3, 4, 3, 2, 3, 3, 3, 2, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 1, 4, 4, 4, 1, 5, 4, 5, 4, 3, 2, 3, 3, 4, 3, 5, 5, 3, 4, 2, 2, 1, 3, 5, 4, 4, 3, 3, 4, 3, 5, 5, 4, 3, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 3, 3, 2, 2, 4, 3, 2, 4, 3, 5, 3, 3, 1, 3, 4, 1, 4, 4, 4, 1, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 2, 4, 3, 3, 3, 3, 4, 2, 4, 4, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 4, 3, 5, 4, 2, 3, 4, 4, 3, 4, 4, 2, 3, 4, 1, 4, 3, 3, 5, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 3, 1, 4, 3, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 2, 1, 5, 5, 3, 5, 5, 3, 4, 4, 4, 4, 5, 3, 3, 3], "4053": [4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 5, 4, 4, 4, 1, 2, 5, 3, 4, 2, 4, 4, 4, 3, 4, 4, 3, 1, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 1, 5, 3, 3, 4, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 1, 4, 3, 3, 4, 3, 5, 3, 3, 3, 2, 3, 4, 5, 2, 3, 3, 2, 4, 3, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 4, 2, 4, 1, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 5, 3, 2, 3, 4, 4, 4, 2, 2, 4, 3, 4, 3, 5, 4, 4, 4, 1, 4, 4, 3, 4, 4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 5, 5, 3, 3, 4, 1, 4, 4, 2, 4, 4, 1, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 1, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 1, 5, 4, 3, 3, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 3, 4, 1, 3, 4, 4, 5, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 3, 4, 4, 5, 1, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 1, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 5, 3, 2, 4, 4, 4, 5, 3, 5, 2, 3, 4, 5, 3, 4, 2, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4], "422": [4, 3, 3, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 3, 3, 5, 4, 4, 2, 4, 1, 2, 3], "820": [3, 3, 2, 3, 5, 4, 4, 5, 3, 4, 1, 3, 2, 4, 3, 5, 3, 5, 3, 3, 3, 4, 4, 3, 5, 1, 4, 5, 1, 3, 3, 4, 3, 5, 5, 2, 3, 4, 4, 5, 1, 1, 5, 3, 4, 5, 4, 2, 4, 3, 3, 1, 3, 5, 3, 5, 3, 1, 3, 5, 3, 4, 4, 1, 2, 5, 4, 1, 3, 2, 4, 4, 5, 4, 2, 2, 3, 4, 4, 5, 5, 3, 1, 4, 5, 3], "5649": [3, 1, 4, 3, 5, 3, 4, 5, 3, 4, 3, 4, 5, 4, 3, 5, 5, 3, 3, 3, 3, 2, 5, 2, 4, 3, 5, 4, 5, 4, 3, 3, 3, 5, 3, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 2, 4, 1, 4, 3, 4, 4, 5, 4, 5, 5, 1, 4, 5, 4, 4, 5, 3, 3, 4, 3, 3, 4, 3, 3, 2, 2, 5, 5, 4, 2, 3, 3, 4, 5, 2, 5, 5, 5, 5, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 3, 3, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 5, 3, 3, 5, 3, 2, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 5, 4, 3, 4, 4, 3, 5, 4, 3, 1, 4, 4, 4, 3, 4, 3, 3, 1, 5, 5, 4], "2025": [2, 3, 3, 4, 5, 3, 5, 2, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 2, 4, 4, 5, 2, 2, 3, 4, 2, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 5, 5, 3, 2, 4, 4, 3, 3, 5, 5, 4, 4, 2, 5, 5, 5, 2, 4, 1, 2, 4, 2, 4, 4, 3, 5, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 2, 5, 5, 1, 5, 4, 3, 3, 5, 2, 3, 5], "5763": [3, 5, 1, 4, 2, 5, 5, 3, 3, 1, 3, 5, 1, 5, 1, 5, 1, 5, 2, 5, 5, 3, 3, 3, 4, 5, 1, 1, 5, 4, 5, 4, 4, 1, 2, 1, 4, 4, 4, 2, 5, 4, 5, 2, 3, 5, 5, 5, 1, 4, 5, 4, 5, 5, 1, 5, 4, 3, 3, 5, 4, 3, 3, 4, 3, 3, 5, 3, 4, 5, 3, 4, 4, 5, 3, 2, 5, 4, 4, 4, 2, 4, 5, 3, 3, 4, 3, 4, 5, 1, 4, 5, 4, 1, 3, 5, 1, 4, 2, 2, 1, 3, 2, 5, 3, 4, 3, 3, 3, 3, 5, 5, 3, 3, 4, 2, 5, 3, 4, 3, 2, 2, 5, 2, 5, 5, 3, 1, 5, 5, 5, 3, 5, 1, 5, 4, 4, 5, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 3, 3, 1, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 5, 4, 2, 5, 4, 4, 2, 3, 5, 2, 4, 5, 4, 3, 3, 3, 4, 3, 3, 5, 4, 1, 4, 5, 3, 3, 4, 5, 1, 4, 1, 1, 2, 5, 3, 4, 5, 4, 1, 2, 4, 5, 3, 3, 5, 3, 2, 4, 4, 3, 1, 5, 5, 2, 5, 1, 2, 3, 4, 5, 4, 5, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 2, 3, 4, 1, 1, 5, 3, 4, 5, 3, 5, 3, 5, 4, 5, 1, 3, 2, 1, 4, 5, 3, 2, 4, 3, 3, 4, 3, 4, 5, 3, 4, 5, 1, 1, 4, 1, 3, 3, 5, 4, 3, 4, 5, 3, 5, 1, 4, 5, 5, 1, 5, 5, 4, 3, 5, 3, 5, 5, 5, 4, 5, 2, 3, 5, 4, 5, 5, 4, 3, 5, 4, 2, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 4, 5, 2, 5, 3, 2, 1, 4, 1, 3, 4, 5, 1, 5, 1, 5, 5, 4, 3, 5, 3, 4, 1, 5, 1, 4, 5, 4, 2, 3, 1, 1, 1, 3, 3, 1, 5, 2, 5, 5, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 2, 3, 4, 5, 4, 5, 3, 4, 1, 3, 4, 3, 5, 3, 3, 5, 3, 4, 3, 4, 5, 2, 4, 5, 4, 1, 2, 5, 3, 1, 5, 1, 5, 3, 3, 3, 1, 1, 3, 5, 3, 3, 5, 5, 4, 5, 4, 5, 4, 2, 2, 5, 3, 2, 3, 5, 4, 5, 5, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 1, 3, 3, 4, 3, 3, 1, 3, 1, 4, 5, 4, 5, 4, 4, 4, 3, 4, 1, 4, 4, 4, 4, 4, 5, 1, 3, 5, 1, 3, 1, 3, 5, 4, 1, 5, 3, 3, 3, 2, 5, 5, 3, 2, 3, 3, 5, 2, 4, 3, 4, 1, 3, 2, 5, 2, 3, 3, 3, 3, 3, 1, 5, 4, 2, 5, 4, 2, 4, 5, 2, 5, 4, 4, 4, 3, 2, 3, 5, 1, 3, 2, 3, 4, 5, 4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 2, 4, 2, 4, 3, 1, 5, 5, 3, 2, 4, 3, 4, 5, 5, 4, 4, 2, 5, 5, 5, 5, 5, 5, 2, 3, 5, 1, 5, 4], "3725": [4, 5, 5, 2, 5, 4, 3, 5, 4, 2, 3, 4, 2, 2, 5, 4], "3850": [4, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 4, 4, 3, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 3, 3, 2, 3, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 4, 4, 2, 3, 4, 2, 4, 4, 3, 5, 5, 4, 5, 4, 3, 3, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 2, 5, 4, 4, 4, 3, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 5, 3, 3, 5, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 2, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 3, 3, 5, 5, 5, 4, 2, 4, 4, 3, 4, 4, 3], "5968": [4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 2, 5, 5, 5, 5, 4, 5], "6031": [5, 1, 4, 2, 4, 1, 3, 1, 4, 5, 1, 5, 5, 1, 3, 4, 3, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 2, 5, 4, 3, 5, 2, 5, 5, 5, 1, 4, 5, 5, 5, 3, 1, 4, 5], "1301": [5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 2, 4, 1, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 2, 4, 5, 5, 5, 5, 3, 3, 4, 2, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 5, 4, 3, 3, 3, 2, 5, 4, 5, 4, 4, 3, 4, 4, 2, 5, 5, 4, 3, 2, 1, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 1, 4, 5, 4, 5, 4, 4, 2, 4, 5, 4, 3, 2, 5, 4, 3, 4, 3, 4, 4, 1, 4, 3, 5, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 5, 3, 2, 5, 5, 5, 3, 3, 4, 3, 4, 2, 4, 4, 5, 2, 4, 4, 4, 5, 2, 4, 4, 2, 4, 4, 4, 3, 4, 5, 3, 5, 4, 3, 2, 1, 3, 1, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 2, 5, 4, 3, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 5, 5, 4, 3, 1, 5, 5, 4, 5, 3, 3, 5, 3, 4, 4, 4, 4, 5, 5, 2, 2, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3], "3158": [4, 2, 4, 5, 3, 4, 3, 4, 4, 3, 4, 1, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 1, 3, 3, 4, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 2, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 3, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 5, 4, 5, 5, 5, 4, 4, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 4, 4, 1, 4, 2, 2, 4, 5, 4, 5, 3, 4, 3, 4, 5, 2, 3, 3, 4, 4, 3, 3, 4, 2, 5, 5, 5, 4, 4, 3, 2, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 2, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 5, 4, 3, 5, 4, 5, 3, 5, 5, 4, 4, 3, 1, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 5, 5, 4], "4897": [3, 4, 3, 4, 5, 2, 2, 3, 4, 5, 4, 4, 2, 1, 2, 3, 5, 2, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 2, 3, 2, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 3, 2, 4, 4, 3, 5, 5, 3, 3, 3, 5, 2, 4, 1, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 3, 3, 4, 4, 5, 2, 2, 2, 4, 4, 2, 4, 2, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 4, 2, 3, 2, 3, 4, 4, 4, 5, 4, 4, 4, 2, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 3, 3, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 2, 4, 2, 4, 3, 3, 4, 2, 4, 3, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 2, 4, 2, 5, 2, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 3, 2, 4, 3, 2, 4, 4, 4, 3, 2, 4, 2, 2, 2, 2, 3, 4, 3, 3, 5, 3, 3, 3, 4, 3, 2, 3, 4, 5, 3, 4, 4, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 2, 4, 4, 3, 4, 3, 3, 4, 2, 2, 5, 1, 4, 3, 5, 2, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 3, 4, 5, 3, 4, 4, 3, 2, 2, 2, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 3, 4, 3, 4, 4, 4, 5, 2, 3, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 5, 5, 4, 3], "5398": [5, 4, 3, 4], "5401": [3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 2, 3, 5, 4, 4, 5, 5, 5, 3, 5, 2, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 5, 4, 4, 3, 5, 5, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 1, 3, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 3, 2, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5], "2458": [3, 2, 5, 5, 3, 2, 5, 1, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 1, 3, 4, 5, 3, 2, 5, 4, 4, 5, 4, 3, 3, 2, 1, 3, 4, 4, 1, 2, 2, 5, 5, 4, 4, 2, 4, 3, 2, 5, 1, 4, 1, 5, 4, 4, 4, 1, 5, 5, 1, 2, 4, 4, 4, 5, 3, 3, 2, 1, 1, 2, 5, 4, 5, 3, 4, 5, 4, 2, 2, 4, 5, 4, 3, 5, 5, 1, 2, 4, 5, 5, 4, 5, 2, 4, 5, 5, 3, 1, 2, 5, 4, 5, 2, 1, 4, 3, 2, 1, 3, 3, 2, 4, 5, 2, 5, 4, 1, 3, 4, 2, 2, 3, 5, 5, 4, 5, 4, 3, 4, 3, 2, 5, 4, 4, 5, 2, 5, 5, 5, 4, 5, 5, 1, 2, 4, 2, 3, 5], "2449": [4, 4, 4, 4, 3, 5, 5, 5, 1, 1, 4, 5, 4, 5, 4, 5, 4, 3, 1, 1, 4, 5], "2228": [5, 3, 4, 5, 5, 1, 5, 5, 5, 3, 4, 2, 5, 3, 4, 5, 5, 2, 4, 4, 4, 4, 3, 4, 5, 2, 1, 5, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 3, 5, 4, 4, 5, 5, 4], "5396": [2, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 2, 5, 3, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 3, 5, 5, 3, 5, 4, 4, 5, 5, 4, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 3, 5, 4, 5, 3, 4, 5, 5, 5, 4, 3], "2047": [4, 5, 4, 4, 3, 4, 4, 2, 2, 3, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 5, 5, 3, 3, 4, 3, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 2, 4, 2, 3, 3, 4, 4, 3, 4, 4, 2, 3, 5, 4, 3, 3, 2, 4, 3, 5, 4, 5, 3, 5, 3, 3, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 5, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 5, 5, 2, 4, 2, 2, 2, 3, 4, 2, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 1, 5, 3, 3, 5, 4, 5, 2, 3, 2, 3, 1, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 3, 5, 3, 2, 3, 4, 4, 5, 3, 5, 3, 5], "409": [4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 3, 3, 4, 4, 5, 5, 5, 3, 5, 3, 5, 2, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 5, 3, 4, 5, 5, 4, 4, 1, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 3, 4, 3, 2, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 2, 5, 4, 5, 3, 2, 4, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 2, 3, 3, 4, 5, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3], "1627": [4, 4, 5, 1, 5, 4, 3, 4, 4, 4, 5, 3, 3, 4, 3, 4, 3, 5, 2], "5338": [3, 5, 3, 4, 4, 3, 5, 4, 3, 3, 1, 4, 5, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 3, 4, 3, 2, 3, 3, 5, 4, 3, 4, 2, 4, 5, 3, 4, 4, 5, 3, 3, 4, 4, 5, 2, 3, 4, 4, 5, 3, 3, 5, 3, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3], "2589": [4, 3, 4, 4, 3, 4, 4, 1, 3, 4, 2, 5, 4, 4, 4, 4, 5, 3, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 4, 4, 3, 3, 3, 4, 2, 3, 4, 4, 5, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 2, 5, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 5, 4, 2, 4, 3, 3, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 3, 3, 4, 3, 4], "5037": [2, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5], "1657": [3, 5, 2, 4, 2, 5, 5, 4, 5, 5, 2, 3, 5, 5, 3, 5, 1, 1, 5, 4, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 3, 3, 5], "5427": [5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 5, 4], "1172": [2, 2, 4, 2, 2, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 3, 4, 5, 3, 4, 2, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 2, 3, 3, 3, 3, 3, 5, 4, 3, 3, 5, 4, 5, 3, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 1, 3, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 3, 1, 4, 1, 4, 5, 3, 3, 5, 2, 4, 2, 4, 3, 3, 4, 3, 5, 4, 4, 3, 4, 2, 3, 1, 4, 5, 4, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 4, 3, 4, 4, 1, 5, 3, 3, 4, 3, 5, 4, 5, 5, 5, 5, 5, 3, 4, 5, 2, 1, 4, 4, 5, 3, 5, 3, 5, 2, 5, 3, 5, 1, 4, 2, 3, 2, 4, 4, 4, 5, 3, 4, 5, 2, 3, 2, 2, 5, 5, 2, 4, 3, 3, 4, 4, 4, 3, 4, 2, 5, 4, 4, 1, 5, 4, 4, 4, 3, 1, 3, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 4, 5, 2, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 5, 3, 3, 2, 4, 5, 1, 4, 4, 5, 4, 5, 5, 1, 1, 1, 5, 1, 2, 2, 1, 1, 3, 1, 1, 4, 3, 3, 5, 3, 4, 4, 4, 1, 4, 1, 4, 3, 4, 3, 1, 1, 4, 4, 5, 4, 4, 3, 2, 2, 1, 4, 5, 5, 5, 3, 5, 4, 2, 5, 3, 2, 2, 3, 2, 4, 3, 4, 3, 3, 4, 4, 5, 2, 2, 5, 4, 3, 2, 4, 4, 3, 2, 5, 5], "3409": [5, 5, 5, 3, 5, 2, 4, 5, 3, 3, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 3, 5, 3, 5, 4], "1058": [4, 3, 4, 3, 5, 2, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 2, 4, 4, 3, 5, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 2, 5, 3, 5, 4, 3, 3, 4, 4, 3, 3, 5, 3, 4, 3, 4, 5, 3, 5, 5, 3, 3, 4, 5, 2, 4, 3, 3, 4, 2, 3, 3, 2, 2, 2, 4, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 2, 3, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 3, 2, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 3, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 4], "4562": [4, 2, 4, 2, 4, 2, 4, 2, 2, 3, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, 2, 3, 3, 5, 4, 2, 4, 5, 4, 4, 4, 5, 5, 1, 4, 4, 4, 3, 5, 5, 4, 1, 4, 4, 3, 3, 5, 4, 4, 3, 5, 2, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 3, 2, 3, 4, 2, 2, 3, 4, 3, 5, 4, 4, 5, 4, 3, 5, 3, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 4, 1, 4, 5, 4, 1, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 2, 1, 5, 2, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 1, 3, 2, 3, 5, 3, 3, 4, 3, 5, 4, 4, 4, 2, 3, 2, 3, 4, 3, 4, 3, 3, 4, 5, 4, 2, 3, 5, 5, 2, 5, 2, 5, 4, 2, 4, 5, 4, 3, 4, 5, 4, 2, 2, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 5, 4, 2, 2, 3, 3, 5], "3013": [3, 4, 1, 2, 5, 5, 4, 3, 3, 5, 5, 4, 4, 3, 4, 3, 5, 5, 3, 5, 2, 3, 4, 4, 4, 5, 3, 4, 5, 1, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 5, 5, 2, 4, 4, 4, 4, 3, 4, 3, 2, 1, 4, 4, 3, 3, 3, 4, 5, 4, 5, 5, 3, 5, 2, 2, 5, 4, 3, 2, 1, 4, 4, 4, 3, 5, 3, 4, 2, 3, 4, 4, 4, 5, 3, 3, 3, 5, 2, 4, 5, 5, 3, 3, 4, 4, 4, 4, 2, 5, 4, 4, 3, 4, 4, 2, 5, 3, 4, 4, 3, 2, 3, 4, 2, 4, 4, 4, 2, 1, 5, 2, 1, 5, 3, 4, 3, 5, 4, 4, 3, 4, 3, 2, 5, 4, 5, 4, 5, 2, 3, 3, 1, 3, 4, 3, 5, 2, 4, 5, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 4, 4, 5, 3, 3, 4, 5, 3, 3, 3, 2, 2, 4, 4, 4, 1, 1, 3, 3, 2, 4, 4, 3, 4, 4, 4, 4, 5, 2, 4, 4, 3, 2, 3, 2, 5, 3, 4, 4, 4, 1, 4, 4, 4, 1, 5, 4, 4, 3, 3, 4, 1, 3, 4, 2, 5, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 4, 4, 3, 5, 2, 4, 3, 3, 3, 2, 5, 3, 3, 2, 2, 4, 3, 3, 4, 3, 2, 1, 2, 4, 3, 2, 4, 5, 5, 4, 4, 3, 2, 4, 3, 2, 3, 5, 2, 5, 2, 1, 1, 1, 1, 4, 3, 1, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 4, 4, 4, 3, 5, 5, 4, 1, 4, 3, 4, 4, 4, 5, 4, 3, 5, 2, 4, 5, 5, 3, 5, 4, 2, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 2, 5, 5, 4, 4, 5, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 4, 3, 3, 5, 4, 2, 4, 4, 5, 1, 4, 3, 4, 3, 2, 3, 4, 4, 4, 2, 4, 1, 5, 3, 4, 1, 3, 2, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 4, 4, 2, 2, 5, 5, 1, 3, 4, 5, 3, 5, 4, 3, 3, 4, 2, 2, 5, 3, 5, 4], "3661": [3, 4, 5, 5, 2, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 2, 5, 5, 5, 3, 2, 3, 4, 3, 3, 5, 5, 3, 5, 4, 3, 1, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 2, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 3, 4, 4, 3, 1, 5, 4, 5, 4, 5, 4, 3, 5, 3, 4, 2, 4, 4, 5, 4, 5, 4, 3, 5, 3, 3, 4, 5, 3, 4, 4, 5, 2], "1395": [5, 3, 3, 2, 3, 5, 5, 5, 1, 3, 4, 3, 1, 3, 3, 4, 1, 4, 4, 5, 4, 3, 5, 5, 5, 3, 5, 3, 5, 5, 3, 4, 3, 1, 2, 4, 4, 5, 3, 4, 4, 4, 4, 3, 5, 2, 4, 5, 4, 5, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 5, 3, 2, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 3, 3, 4, 3, 5, 5, 3, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 3, 1, 3, 4, 1, 4, 4, 5, 1, 4, 4, 4, 3, 4, 3, 5, 2, 4, 5, 5, 4, 4, 3, 5, 4, 5, 2, 3, 2, 3, 5, 5, 4, 5, 5, 3, 5, 4, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 5, 5, 4, 3, 5, 5, 4, 3, 3, 4, 5, 5, 5, 1, 4, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 3, 3, 3, 5, 4, 5, 5, 2, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 1, 5, 3, 4, 5, 3, 2, 5], "3546": [4, 5, 3, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 2, 4, 2, 4, 3, 2, 4, 1, 1, 2, 4, 3, 3, 3, 5, 5, 3, 5, 4, 2, 3, 5, 4, 4, 4, 3, 1, 3, 3, 4, 4, 4, 3, 3, 5, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 5, 5, 3, 4, 2, 3, 3, 3, 4, 3, 5, 3, 2, 3, 3, 4, 4, 3, 4, 3, 2, 5, 2, 4, 3, 3, 5, 5, 3, 4, 5, 5, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 2, 2, 3, 4, 5, 3, 3, 2, 3, 3, 2, 4, 4, 3, 5, 1, 2, 3, 3, 3, 3, 2, 3, 4, 4, 5, 4, 4, 4, 2, 3, 3, 5, 3, 2, 3, 4, 4, 3, 2, 4, 2, 4, 2, 4, 2, 1, 4, 3, 3, 4, 5, 4, 3, 2, 4, 2, 3, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 4, 3, 3, 4, 4, 2, 4, 5, 2, 5, 4, 2, 3, 3, 3, 3, 5, 2, 4, 3, 3, 3, 2, 3, 2, 3, 4, 3, 3, 2, 4, 5, 4, 1, 3, 3, 5, 4, 3, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 2, 5, 4, 3, 4, 4, 4, 5, 4, 2, 3, 1, 4, 2, 3, 2, 5, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 1, 5, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 2, 1, 3, 4, 3, 5, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 2, 3, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 2, 5, 4, 5, 5, 3, 2, 3, 5, 4, 4, 2, 4, 2, 5, 3, 4, 5, 4, 3, 5, 2, 5, 5, 5, 5, 5, 2, 5, 3, 3, 4, 2, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4], "2992": [2, 2, 3, 1, 3, 2, 1], "1797": [5, 3, 4, 5, 3, 4, 5, 5, 5, 5, 4, 4, 1, 3, 1, 4, 4, 4, 1, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 2, 1, 3, 5, 5, 5, 2, 5, 5, 5, 1, 4, 5, 3, 5, 5, 5, 4, 1, 4, 4, 3, 4, 5, 4, 4, 1, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 5, 2, 4, 4, 4, 4, 5, 5, 5, 2, 5, 4, 4, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 1, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 1, 5, 4, 5, 5, 3, 4, 5, 4, 2, 5, 4, 5, 3, 5, 1, 4, 3, 5, 4, 5], "1333": [3, 5, 5, 5, 4, 1, 3, 5, 2, 3, 2, 5, 5, 5, 5, 4, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 1, 2, 4, 5, 5, 5, 5, 5, 5, 2, 5, 2, 3, 5, 2, 4, 2, 2, 5, 5, 5, 3, 5, 5, 1, 5, 5, 4, 5, 1, 4, 5, 5, 5, 2, 1, 3, 5, 5, 5, 5, 2, 4, 3, 5, 4, 2, 5, 2, 5, 2, 3, 3, 5, 5, 5, 2, 5, 5, 4, 5, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 2, 5, 3, 5, 5, 4, 1, 1, 5, 3, 1, 3, 2, 4, 4, 5, 4, 5, 3, 1, 3, 5, 1, 5, 1, 1, 5, 5, 3, 5, 5, 5, 5, 3, 4, 5, 2, 5, 3, 5, 5, 5, 3, 5, 4, 4, 5, 3, 2, 1, 1, 1, 3, 4, 1, 3, 3, 2, 1, 4, 4, 4, 2, 5, 4, 3, 2, 2, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 3, 5, 5, 1, 4, 5, 3, 3, 4, 4, 4, 3, 5, 5, 5, 5, 2, 4, 2, 3, 3, 5, 4, 1, 2, 2, 2, 3, 5, 4, 5, 5, 4, 2, 5, 2, 5, 5, 5, 5, 2, 3, 1, 5, 2, 5, 5, 1, 5, 2, 1, 4, 5, 5, 5, 2, 1, 2, 4, 4, 1, 3, 2, 3, 5, 2, 3, 4, 4, 4, 2, 4, 2, 2, 5, 4, 5, 5, 5, 1, 3, 5, 4, 3, 3, 5, 4, 3, 2, 2, 5, 5, 5, 1, 5, 5, 5, 1, 5, 4, 3, 5, 4, 1, 5, 4, 5, 5, 3, 5, 4, 1, 4, 4, 5, 2, 3, 2, 3, 3, 1, 1, 2, 5, 5, 2, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 1, 2, 3, 1, 5, 2, 1, 3, 5, 4, 5, 3, 5, 2, 1, 5, 3, 1, 5, 3, 4, 3, 2, 4, 5, 1, 4, 1, 5, 5, 2, 4, 2, 5, 4, 4, 3, 3, 5, 5, 3, 5, 5, 5, 3, 4, 1, 5, 5, 5, 5, 5, 1, 2, 1, 1, 1, 5, 2, 1, 4, 1, 4, 4, 2, 3, 5, 5, 2, 4, 2, 2, 3, 5, 1, 1, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 2, 4, 4, 2, 2, 1, 2, 4, 3, 2, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 4, 5, 5, 5, 5, 5, 2, 4, 1, 1, 3, 5, 5, 5, 5, 4, 2, 5, 1, 5, 5, 5, 4, 4, 5, 5, 4, 1, 5, 1, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 1, 4, 5, 3, 4, 1, 5, 2, 5, 5, 5, 5, 5, 4, 4, 2, 5, 3, 4, 1, 4, 3, 3, 5, 5, 5, 1, 5, 4, 5], "5860": [3, 3, 5, 5, 3, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 3, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 2, 2, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 1, 4, 5, 4, 4, 5, 4, 5, 3, 2, 5, 3, 5, 5, 5, 3, 3, 3, 5, 3, 4, 5, 5, 4, 4], "2917": [4, 4, 3, 2, 3, 4, 4, 3, 5, 4, 5, 5, 5, 3, 5, 3, 5, 4, 3, 4, 3, 4, 4, 4, 1, 3, 5, 5, 4, 2, 3, 5, 2, 5, 5, 5, 2, 3, 3, 5, 4, 3, 4, 3, 4, 4, 2, 4, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3], "2461": [4, 5, 5, 4, 4, 3, 4, 1, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 4, 5, 1, 4, 3, 5, 5, 5, 4, 4, 4, 2, 5, 4, 4, 1, 4, 3, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 5], "4447": [4, 3, 3, 2, 2, 2, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 2, 5, 3, 4, 4, 2, 5, 4, 1, 2, 2, 2, 5, 3, 4, 2, 3, 3, 1, 2, 2, 4, 2, 4, 4, 2, 5, 4, 2, 2, 4, 1, 3, 2, 3, 3, 4, 2, 3, 3, 5, 3, 3, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 4, 1, 2, 4, 2, 3, 2, 2, 3, 3, 4, 4, 4, 3, 4, 4, 2, 5, 2, 3, 2, 4, 3, 5, 4, 4, 4, 3, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 3, 1, 3, 3, 3, 3, 2, 3, 4, 2, 3, 5, 3, 3, 1, 1, 3, 3, 2, 4, 4, 3, 2, 1, 1, 3, 3, 1, 4, 3, 3, 1, 3, 5, 2, 4, 4, 2, 1, 3, 3, 3, 4, 3, 3, 3, 5, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 1, 3, 2, 1, 2, 3, 4, 4, 3, 1, 3, 4, 5, 2, 3, 4, 2, 3, 4, 4, 3, 3, 3, 4, 2, 1, 4, 3, 4, 2, 4, 4, 4, 4, 4, 3, 4, 1, 5, 3, 5, 3, 2, 2, 2, 3, 2, 1, 3, 4, 4, 4, 4, 4, 3, 1, 3, 3, 3, 1, 4, 5, 4, 2, 3, 1, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 4, 3, 3, 3, 3, 2, 4, 3, 4, 3, 1, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 5, 2, 3, 3, 3, 3, 3, 4, 2, 4, 2, 2, 4, 3, 3, 4, 2, 4, 4, 2, 4, 4, 3, 2, 4, 2, 3, 4, 3, 2, 2, 4, 2, 4, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 4, 2, 3, 2, 5, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 2, 4, 3, 2, 2, 2, 3, 1, 3, 3, 3, 3, 2, 1, 4, 3, 4, 3, 4, 2, 4, 3, 2, 4, 4, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 1, 2, 3, 2, 4, 3, 2, 3, 3, 3, 4, 4, 2, 4, 1, 3, 3, 1, 3, 1, 5, 3, 4, 2, 4, 5, 4, 3, 3, 2, 4, 4, 1, 1, 3, 4, 2, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 3, 4, 3, 3, 3, 4, 5, 3, 3, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 3, 3, 1, 4, 4, 4, 2, 4, 4, 5, 2, 4, 2, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 2, 3, 4, 3, 2, 2, 3, 5, 3, 5, 3, 3, 4, 3, 5, 3, 5, 4, 4, 2, 2, 4, 4, 3, 3, 3, 4, 3, 4, 3, 2, 3, 2, 3, 3, 4, 4, 2, 3, 1, 2, 1, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 1, 4, 4, 3, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 5, 4, 3, 2, 2, 2, 2, 3, 4, 3, 2, 1, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 4, 4, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3, 2, 1, 4, 4, 2, 1, 3, 2, 3, 2, 3, 3, 2, 1, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 2, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 2, 5, 3, 3, 3, 3, 1, 4, 2, 1, 3, 2, 4, 3, 2, 2, 3, 4, 5, 2, 3, 3, 4, 4, 2, 4, 4, 3, 3, 4, 2, 4, 2, 2, 2, 2, 3, 3, 1, 3, 5, 3, 2, 3, 2, 1, 2, 2, 4, 3, 4, 2, 1, 4, 4, 5, 3, 2, 2, 4, 2, 4, 3, 4, 4, 3, 4, 2, 3, 2, 2, 5, 3, 1, 3, 4, 5, 3, 4, 3, 3, 2, 1, 2, 3, 4, 3, 3, 4, 1, 2, 5, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 2, 3, 3, 2, 4, 3, 1, 2, 3, 2, 4, 3, 4, 4, 2, 1, 3, 3, 3, 1, 3, 5, 4, 1, 2, 2, 2, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 4, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 2, 2, 1, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 2, 3, 3, 3, 4, 2, 4, 2, 5, 4, 2, 3, 2, 4, 4, 4, 4, 4, 3, 3, 2, 3, 3, 3, 2, 4, 2, 4, 4, 1, 4, 4, 4, 2, 2, 3, 3, 3, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3], "538": [5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5], "1632": [3, 5, 3, 1, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 2, 3, 2, 4, 3, 1, 3, 3, 1, 4, 3, 4, 3, 2, 3, 4, 3, 1, 3, 4, 3, 3, 3, 3, 3, 1, 3, 2, 5, 2, 2, 3, 3, 1, 5, 5, 5, 2, 3, 2, 3, 3, 3, 4, 3, 4, 1, 3, 2, 2, 3, 3, 3, 2, 5, 3, 3, 2, 3, 4, 5, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 4, 1, 4, 3, 5, 2, 3, 3, 5, 3, 4, 1, 3, 3, 3, 2, 1, 3, 1, 2, 1, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 2, 5, 5, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 4, 1, 3, 1, 2, 1, 3, 3, 2, 2, 4, 3, 2, 3, 2, 1, 1, 3, 2, 4, 3, 2, 3, 3, 4, 3, 1, 3, 3, 4, 2, 2, 1, 1, 3, 3, 5, 2, 5, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 3, 4, 3, 1, 3, 3, 3, 4, 3, 4, 2, 2, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 1, 3, 3, 3, 1, 3, 1, 3, 3, 1, 1, 1, 1, 3, 2, 1, 2, 4, 4, 1, 2, 3, 2, 3, 4, 3, 4, 4, 4, 3, 3, 2, 3, 2, 2, 4, 2, 2, 5, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 2, 2, 5, 1, 3, 3, 1, 1, 3, 3, 3, 3, 4, 5, 3, 3, 2, 1, 2, 1, 3, 3, 1, 2, 3, 4, 3, 4, 3, 3, 3, 3, 4, 5, 5, 4, 1, 4, 5, 1, 4, 3, 4, 4, 4, 1, 2, 4, 3, 2, 1, 2, 1, 2, 3, 3, 3, 3, 2, 4, 1, 4, 3, 4, 3, 5, 3, 3, 2, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 2, 3, 2, 2, 3, 2, 3, 1, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 2, 1, 1, 4, 4, 3, 3, 2, 3, 2, 3, 3, 3, 5, 3, 2, 1, 1, 3, 2, 3, 2, 3, 1, 3, 3, 4, 3, 3, 3, 3, 1, 2, 3, 4, 4, 2, 2, 1, 3, 4, 5, 3, 3, 1, 3, 2, 3, 2, 5, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 4, 1, 1, 3, 1, 1, 1, 1, 3, 2, 2, 3, 2, 3, 1, 4, 1, 4, 3, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 2, 1, 3, 3, 2, 5, 3, 1, 3, 3, 2, 1, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 4, 4, 4, 5, 1, 2, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 1, 3, 3, 2, 3, 5, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 4, 3, 2, 3, 3, 4, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 2, 3, 2, 4, 1, 3, 3, 2, 4, 4, 2, 3, 2, 2, 3, 4, 3, 1, 3, 3, 3, 1, 3, 1, 1, 3, 2, 4, 4, 2, 3, 4, 4, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 1, 4, 1, 3, 2, 2, 2, 1, 3, 3, 3, 3, 4, 1, 3, 5, 4, 3, 2, 1, 3, 3, 2, 3, 1, 4, 2, 4, 3, 4, 3, 1, 1, 1, 1, 3, 5, 1, 4, 3, 5, 2, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 3, 3, 2, 1, 5, 1, 5, 2, 5, 5, 3, 3, 1, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 2, 4, 4, 4, 2, 3, 2, 2, 5, 3, 5, 3, 4, 3, 1, 3, 3, 3, 1, 4, 5, 1, 4, 4, 2, 3, 4, 5, 3, 3, 3, 4, 3, 4, 1, 2, 1, 5, 3, 3, 3, 1, 4, 5, 3, 4, 5, 2, 3, 4], "1151": [2, 4, 4, 4, 5, 3, 5, 4, 5, 3, 5, 2, 4, 4, 4, 1, 2, 4, 4, 5, 5, 3, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 1, 4, 3, 3, 4, 4, 5, 2, 5, 4, 3, 4, 2, 3, 1, 4, 4, 3, 4, 5, 2, 4, 3, 2, 3, 5, 3, 5, 4, 3, 4, 5, 3, 4, 3, 5, 5, 1, 3, 1, 5, 3, 4, 5, 5, 4, 3, 2, 4, 4, 5, 3, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 5, 3, 5, 5, 1, 5, 3, 2, 5, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 3, 1, 5, 5, 2, 4, 2, 4, 3, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 3, 5, 5, 4, 5, 1, 4, 4, 4, 4, 3, 4, 3, 1, 1, 5, 3, 3, 5, 4, 4, 4, 5, 2, 3, 4, 4, 5, 1, 5, 4, 4, 5, 5, 5, 3, 4, 2, 3, 3, 5, 2, 4, 3, 4, 5, 3, 4, 5, 3, 5, 4, 4, 3, 5, 2, 4, 4, 5, 2, 4, 5, 4, 3, 3, 3, 2, 4, 5, 5, 3, 5, 5, 4, 4, 5, 2, 5, 5, 5, 5, 5, 4, 1, 4, 5, 4, 4], "925": [4, 5, 3, 4, 1, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 1, 3, 5, 3, 3, 3, 4, 3, 3, 4, 1, 4, 2, 3, 4, 3, 3, 4, 3, 1, 4, 1, 3, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 2, 2, 2, 1, 4, 2, 2, 4, 3, 3], "3533": [4, 3, 4, 4, 4, 3, 4, 5, 3, 2, 4, 4, 2, 3, 4, 5, 3, 3, 5, 4, 2, 5, 4, 3, 5, 4, 2, 3, 5, 5, 3, 4, 5, 4, 4, 4, 5, 4, 2, 5, 4, 4, 3, 4, 3, 3, 4, 5, 3, 5, 4, 4, 2, 1, 4, 1, 4, 4, 4, 5, 4, 5, 5, 3], "54": [4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 5, 3, 3, 5, 4, 3, 4, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4], "2629": [4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 5, 3, 4, 4, 5, 5, 2, 4, 3, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 3, 1, 3, 4, 3, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 2, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 3, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 2, 4, 3, 1, 4, 5, 3, 1, 5, 5, 5, 3, 2, 4, 5, 2, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 1, 4, 5, 5, 4, 3, 4, 4, 5, 3, 2, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 5, 5, 4, 2, 5, 5, 4], "5041": [5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 3, 2, 5, 5, 3, 2, 4, 5, 5, 4, 3, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 3, 3, 5, 5, 2, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 1, 5, 4, 5, 5, 5], "5724": [4, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5], "3701": [4, 4, 5, 5, 3, 3, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 3, 3, 5, 4, 3, 2, 3, 1, 5, 5, 4, 4, 4, 3, 3, 5, 5, 3, 4, 2, 4, 4, 4, 3, 3, 2, 2, 2, 3, 5, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 5, 2, 5, 3, 5, 4, 5], "1525": [3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 2, 5, 4, 2, 3, 2, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 2, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 4, 5, 3, 3, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4], "4856": [2, 3, 4, 5, 3, 5, 3, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 4, 2, 4, 4, 3, 4, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4, 3, 2, 4, 5, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 3, 4], "2553": [5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3], "2676": [5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 5, 3, 3, 3, 3, 4, 5, 5, 3, 2, 4, 4, 4, 4, 5, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 3, 2, 2, 4, 3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 2, 5, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3], "127": [4, 4, 4, 2, 3, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 3, 5, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 5, 4, 3, 3, 5, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 4, 3, 3, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4], "5356": [3, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 1, 4, 5, 5, 2, 5, 5, 5, 2, 5, 4, 4, 2, 2, 3, 2, 4, 3, 4, 5, 2, 4, 2, 2, 2, 2, 4, 3, 2], "5874": [4, 4, 5, 3, 5, 4, 4, 1, 5, 4, 5, 2, 5, 5, 4, 5, 3, 5, 1, 3, 3, 2, 5, 2, 2, 2, 2, 1, 4, 4, 3, 2, 5, 4, 3, 5, 4, 2, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 2, 5, 5, 5, 5, 3, 3, 4, 3, 4, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 3, 4, 2, 3, 4, 4, 2, 4, 2, 5, 5, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 2, 4, 2, 4, 2, 4, 4, 4, 2, 4, 5, 3, 4, 3, 4, 5, 3, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 2, 4, 4, 5, 2, 5, 5, 4, 3, 3, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 3, 4, 2, 3, 3, 3, 5, 5, 2, 3, 3, 5, 3, 3, 5, 4, 4, 2, 3, 4, 1, 3, 3, 2, 2, 2, 2, 1, 4, 5, 5, 3, 3, 4, 4, 4, 4, 3, 2, 5, 2, 5, 4, 3, 3, 1, 1, 2, 3, 1, 1, 1, 5, 1, 5, 5, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 2, 5, 2, 5, 5, 2, 4, 4, 5, 4, 4, 5, 3, 4], "5058": [4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 2, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 3, 2, 3, 3, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4], "1575": [5, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 2, 4, 2, 3, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 5, 3, 5, 3, 5, 4, 4], "5046": [4, 3, 4, 3, 3, 4, 5, 2, 1, 4, 2, 4, 3, 3, 5, 4, 3, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 2, 2, 4, 2, 5, 2, 4, 5, 5, 5, 5, 5, 4, 2, 5, 5, 4, 3, 4, 4, 3, 4, 5, 5, 5, 2, 5, 3, 2, 3, 3, 4, 2, 3, 4, 5, 3, 4, 3, 4, 4, 1, 5, 5, 3, 4, 3, 1, 4, 5, 3, 4, 4, 4, 2, 3, 5, 4, 4, 2, 5, 2, 4, 3, 2, 4, 3, 3, 2, 3, 4, 4, 4, 5, 4, 3, 1, 5, 4, 3, 4, 2, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 2, 5, 2, 4, 4, 1, 4, 4, 2, 4, 4, 3, 4, 5, 1, 4, 2, 1, 4, 4, 2, 4, 3, 3, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 5, 4, 5, 4, 2, 4, 5, 3, 2, 5, 2, 4, 3, 5, 3, 2, 2, 5, 4, 2, 4, 2, 4, 4, 4, 4, 5, 5, 4, 4, 3, 1, 4, 5, 4, 4, 5, 4, 4, 4, 2, 4, 2, 4, 5, 4, 5, 2, 2, 1, 4, 4, 2, 5, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 2, 4, 5, 4, 3, 2, 4, 2, 4, 5, 5, 3, 3, 4, 4, 2, 5, 3, 4, 5, 3, 5, 4, 3, 5, 5, 4, 5, 4, 5, 2, 5, 2, 1, 1, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 2, 5, 5, 4, 5, 5, 3, 5, 5, 3, 4, 1, 2, 1, 3, 5, 5, 3, 4, 3, 4, 4, 4, 4, 2, 3, 1, 3, 5, 3, 5, 5, 5, 4, 3, 5, 1, 5, 2, 2, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 1, 4, 4, 4, 5, 2, 2, 2, 5, 2, 5, 4, 5, 4, 2, 4, 2, 5, 5, 5, 3, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3, 2, 4, 5, 5, 1, 4, 4, 4, 4, 5, 4, 2, 3, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 2, 5, 3, 5, 5, 2, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 2, 5, 3, 4, 5, 5, 3, 2, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 4, 4, 4, 3, 1, 5, 5, 4, 4, 4, 5, 5, 5, 5, 2, 4, 5, 5, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 2, 2, 5, 4, 5, 5, 2, 2, 1, 3, 1, 5, 3, 2, 3, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 3, 5, 3, 2, 2, 5, 3, 4, 4, 4, 4, 5, 4, 5, 5, 1, 3, 3, 5, 4, 4, 2, 5, 4, 4, 5, 5, 4, 5, 5, 2, 3, 3, 4, 3, 2, 2, 2, 2, 4, 2, 4, 4, 3, 5, 3, 5, 3, 5, 5, 2, 5, 2, 4, 2, 5, 4, 5, 5, 2, 4, 2, 4, 5, 3, 4, 3, 3, 2, 4, 1, 1, 2, 3, 4, 4, 4, 3, 5, 3, 4, 2, 1, 2, 2, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 5, 5, 4, 4, 1, 2, 4, 4, 5, 4, 1, 1, 4, 2, 4, 5, 2, 1, 3, 4, 5, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 5, 2, 4, 5, 3, 4, 4, 2, 2, 4, 4, 2, 4, 4, 5, 5, 2, 5, 5, 5, 3, 3, 1, 4, 4, 2, 4, 4, 5, 5, 5, 5, 4, 4, 1, 4, 3, 4, 2, 4, 5, 2, 3, 3, 5, 5, 3, 3, 4, 4, 5, 4, 1, 1, 4, 2, 1, 4, 4, 4, 5, 4, 4, 4, 3, 5, 2, 3, 2, 4, 4, 4, 3, 5, 3, 5, 5, 3, 2, 4, 5, 3, 4, 3, 3, 1, 5, 5, 2, 1, 4, 2, 5, 3, 4, 1, 4, 4, 5, 5, 1, 5, 2, 5, 5, 5, 3, 4, 2, 4, 4, 3, 4, 1, 1, 4, 5, 4, 5, 5, 3, 5, 5, 3, 4, 3, 5, 3, 4, 5, 3, 2, 3, 4, 3, 2, 2, 3, 5, 5, 5, 1, 4, 3, 4, 2, 5, 4, 2, 5, 3, 2, 4, 5, 4, 4, 4, 2, 5, 4, 4, 4, 5, 4, 5], "5644": [3, 4, 5, 3, 5, 2, 3, 3, 4, 4, 5, 3, 5, 5, 4, 4, 3, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 3, 5, 5, 3, 3], "548": [4, 5, 2, 4, 4, 4, 3, 5, 2, 4, 3, 4, 4, 4, 4, 3, 2, 4, 2, 2, 4, 4, 2, 5, 3, 2, 4, 4, 4, 4, 3, 3, 3, 5, 2, 2, 3, 2, 1, 2, 3, 4, 3, 5, 3, 4, 4, 3, 5, 2, 5, 1, 1, 4, 1, 2, 2, 3, 1, 4, 2, 2, 3, 2, 3, 3, 3, 2, 5, 4, 2, 5, 4, 4, 4, 3, 3, 3, 3, 3, 5], "5421": [3, 5, 4, 2, 2, 5, 5, 3, 5, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 3, 5, 2, 5, 5, 5, 3, 2, 4, 2, 3, 3, 4, 5, 4, 3, 5, 3, 1, 3, 2, 5, 4, 4, 3, 2, 5, 1, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 1, 5, 5], "110": [3, 3, 3, 3, 4, 4, 2, 3, 4, 4, 4, 5, 3, 4, 3, 1, 2, 3, 4, 3, 3, 5, 3, 3, 3, 4, 2, 4, 4, 5, 5, 5, 1, 4, 3, 2, 5, 2, 4, 5, 3, 5, 2, 2, 3, 2], "1850": [3, 5, 4, 5, 3, 3, 5, 3, 4, 5, 3, 5, 5, 3, 3, 3, 4, 3, 3, 4, 4, 4, 2, 5, 3, 5, 2, 3, 5, 3, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 3, 4, 2, 5, 4, 5, 5, 4, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3], "3877": [4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5], "5710": [4, 4, 2, 4, 3, 2, 5, 4, 2, 3, 4, 2, 3, 3, 3, 4, 4, 3, 4, 3, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 5, 2, 5, 2, 2, 3, 5, 5, 2, 3, 3, 2, 4, 3, 4, 3, 4, 5, 4, 3, 3], "2883": [4, 4, 3, 4, 3, 3, 1, 3, 3, 1, 3, 4, 4, 1, 3, 3, 1, 4, 1, 4, 3, 1, 3, 3, 3, 4, 1, 4, 4, 4, 1, 3, 3, 2, 3, 1, 1, 3, 3, 4, 1, 3, 3, 1, 4, 1, 3, 4, 1, 2, 4, 3, 1, 2, 3, 4, 4, 2, 1, 1, 1, 2, 4, 3, 3, 3, 1, 3, 1, 3, 3, 1, 1, 1, 4, 2, 1, 1, 4, 1, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 4, 4, 4, 1, 2, 4], "2954": [5, 5, 5, 3, 1, 5, 4, 4], "4233": [3, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 3, 3, 5, 4, 5, 4, 5, 3, 2, 3, 5, 4, 5, 3, 3, 4, 5, 4, 3, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 5, 3, 2, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 3, 5, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 3, 2, 2, 4, 3, 4, 3, 4, 2, 4, 5, 3, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5], "5052": [5, 5, 4, 5, 4, 4, 3, 5, 4, 2, 5, 4, 3, 5, 4, 5, 4], "828": [4, 2, 4, 5, 4, 4, 2, 3, 4, 4, 3, 3, 4, 5, 3, 3, 5, 2, 3, 3, 5, 4, 5, 4, 5, 3, 4, 5, 3, 2, 4], "2802": [3, 4, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 3, 5, 2, 2, 5, 3, 3, 3, 3, 2, 4, 5, 4, 2, 3, 3, 4, 5, 3, 3, 3, 3, 4, 3, 3, 5, 3, 4, 4, 4, 2, 5, 4, 2, 5], "2905": [4, 4, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 2, 4, 2, 4, 3, 4, 3, 4, 5, 3, 4, 4, 3, 3, 3, 2, 1, 1, 5, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 4, 3, 3, 5, 3, 5, 3, 4, 3, 5, 4, 5, 3, 2, 4, 2, 3, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 1, 1, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 1, 3, 5], "2695": [5, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 3, 4, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 5, 2, 5, 5, 1, 2, 5, 4, 5, 5, 1, 2, 2, 5, 2, 5, 2, 4, 5, 4, 2, 4, 4, 2, 4, 4, 4, 5, 4], "1761": [1, 4, 1, 1, 4, 1, 1, 1, 3, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 2, 3, 2, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 5, 3, 1, 4, 1, 3, 2, 2, 4, 1, 4, 4, 4, 4, 2, 2, 2, 3, 5, 2, 1, 2, 2, 5, 1, 1, 5, 2, 3, 2, 2, 1, 2, 1, 5, 2, 2, 1, 2, 1, 2, 1, 2, 3, 2, 3, 1, 4, 1, 5, 5, 2, 2, 1, 1, 1, 3], "364": [5, 4, 4, 4, 4, 1, 3, 1, 4, 2, 2, 4, 2], "5325": [3, 4, 1, 3, 4, 2, 4, 4, 5, 3, 5, 2, 1, 4, 5, 1, 4, 5, 5, 3, 2, 1, 5, 1, 2, 5, 2, 4, 5, 1, 1, 3, 2, 4, 5, 4, 3, 4, 4, 5, 2, 5, 2], "152": [5, 4, 4, 5, 5, 4, 5, 4, 1, 4, 5, 4, 4, 5, 4, 5, 3, 5], "5124": [3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 5, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 4, 3, 5, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 3, 2, 4, 3, 2, 3, 5, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 2, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 3, 2, 5, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 2, 3, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 5, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 4, 3, 2, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 5, 3, 3, 2, 5, 3, 3, 4, 3, 3, 4, 4], "4402": [3, 2, 4, 5, 5, 4, 3, 2, 5, 5, 2, 5, 5, 5, 5, 3, 5, 4, 4, 3, 5, 3, 2, 4], "5179": [2, 5, 4, 3, 2, 3, 3, 2, 2, 5, 5, 4, 1, 2, 4, 5, 4, 3, 5, 4, 5, 4, 2, 3, 5, 2, 4, 1], "5540": [4, 3, 3, 5, 4, 5, 5, 4, 5, 3, 3, 3, 4, 5, 5, 4, 3, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 3, 2, 3, 4, 3, 4, 5, 1, 4, 4, 4, 5, 3, 2, 3, 4, 2, 5, 4], "2760": [4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 3, 4, 2, 5, 3, 2, 4, 4, 3, 5, 3, 4, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 3, 5, 2, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4], "1819": [5, 5, 4, 5, 2, 4, 3, 5, 4, 3, 5, 2, 5, 5, 5, 4, 4, 1, 4, 5, 5, 5, 4, 4, 3, 2, 4, 4, 2, 4, 5, 3, 4, 4, 4, 4, 3, 2, 5, 3, 4, 1, 3, 5, 5, 5, 1, 4, 2, 2, 5, 4, 5, 2, 4, 1, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 2, 4, 5, 5, 3, 3, 3, 5, 5, 3, 5, 2, 4, 5, 3, 4, 5, 4, 5, 5, 3, 4, 2, 3, 5, 3, 4, 2, 4, 1, 5, 5, 3, 5, 3], "284": [4, 2, 1, 2, 2, 2, 1, 2, 3, 3, 2, 5, 3, 3, 4, 3, 5, 3, 1, 1, 2, 4, 3, 3, 1, 3, 4, 4, 1, 5, 3, 4, 3, 4, 3, 5, 2, 5, 3, 4, 4, 3, 4, 2, 2, 5, 2, 1, 2, 5, 3, 5, 2, 5, 1, 5, 5, 4, 5, 1, 4, 4, 4, 1, 4, 3, 2, 3, 3, 4, 1, 4, 5, 4, 5, 1, 3, 3, 4, 3, 2, 3, 5, 1, 4, 5, 5, 3, 4, 3, 2, 3, 4, 5, 4, 4, 5, 3, 4, 3, 3, 4, 4, 5, 5, 3, 4, 1, 1, 4, 5, 4, 4, 4, 4, 3, 3, 3, 1, 3, 2, 1, 1, 2, 4, 3, 3, 4, 2, 2, 1, 2, 3, 1, 1, 2, 5, 2, 2, 1, 4, 4, 2, 2, 3, 1, 4, 2, 3, 1, 4, 4, 4, 3, 4, 1, 3, 5, 5, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 4, 2, 2, 3, 1, 4, 3, 5, 3, 4, 4, 5, 1, 1, 3, 4, 1, 2, 1, 5, 3, 5, 2, 2, 1, 4, 1, 3, 1, 3, 4, 1, 4, 2, 2, 2, 2, 5, 5, 5, 1, 1, 1, 4, 2, 5, 2, 5, 4, 4, 3, 2, 4, 3, 4, 5, 4, 2, 1, 5, 3, 5, 1, 2, 2, 3, 1, 2, 4, 5, 3, 2, 1, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 3, 5, 3, 4, 3, 5, 3, 1, 3, 3, 1, 1, 1, 4, 2, 1, 2, 1, 3, 2, 1, 3, 3, 2, 5, 1, 4, 1, 3, 3, 2, 1, 2, 4, 3, 5, 1, 1, 1, 3, 5, 1, 3, 4, 3, 1, 5, 3, 1, 3, 1, 4, 3, 4, 5, 4, 3, 3, 3, 4, 1, 5, 4, 4, 2, 5, 4, 5, 4, 5, 2, 1, 3, 4, 4, 3, 1, 4, 2, 3, 5, 1, 3, 2, 3, 5, 3, 5, 5, 3, 5, 4, 4, 1, 5, 1, 5, 3, 5, 4, 2, 3, 5, 3, 3, 4, 2, 3, 4, 3, 4, 1, 3, 5, 1, 4, 1, 4, 4, 4, 5, 5, 4, 3, 1, 2, 4, 5, 1], "103": [4, 3, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 1, 5, 4, 5, 5, 4, 5, 5, 3, 4, 3, 3, 1, 3, 4, 3, 5, 5, 3, 2, 5, 2, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 2, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 2, 5, 2, 4, 3, 4], "716": [4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 2, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 4, 5, 5, 3, 4, 5, 4, 5, 5, 3, 3, 5, 4, 3, 4, 5, 5, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 3, 5, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 2, 4, 4, 5, 3, 3, 3, 3, 3, 5, 4, 4, 5, 5, 4, 5, 3, 3, 5, 3, 4, 4, 4, 3, 3, 5, 3, 5, 3, 5, 5, 4, 4, 5, 5, 4, 4, 2, 3, 4, 5, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 2, 5, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 1, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 3], "1803": [4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 5, 4, 4, 4, 2, 4, 4, 3, 2, 3, 3, 2, 3, 3, 4, 1, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 2, 2, 3, 4, 2, 4, 4, 4, 3, 3, 4, 3, 2, 4, 4, 3, 4, 3, 4, 2, 3, 3, 2, 4, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 5, 3, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 3, 3, 3, 3, 4, 4, 2, 2, 2, 3, 4, 4, 4, 5, 4, 5, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 2, 4, 4, 4, 4, 4, 3, 3, 4, 2, 2, 4, 3, 2, 4, 2, 4, 4, 4, 3, 4, 5, 5, 3, 1, 4, 2, 4, 2, 4, 2, 2, 4, 3, 2, 4, 4, 5, 3, 3, 3, 4, 4, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4, 2, 4, 3, 5, 3, 2, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 2], "3926": [3, 5, 2, 4, 4, 5, 1, 4, 5, 5, 5, 4, 3, 4, 4, 4, 4, 1, 4, 4, 3, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 5, 5, 5, 4, 3, 2, 4, 5, 4, 3, 5, 5, 4, 5, 4, 2, 5, 4], "2136": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 5, 3, 5, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 5, 5, 4, 3, 4, 3, 5, 3, 3, 3, 4, 4, 4, 4, 4, 5, 2, 5, 5, 4, 4, 3, 4, 3, 4, 4, 3, 2, 4, 5, 3, 5, 4, 5, 4, 3, 2, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 2, 4, 5, 2, 5, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3], "5688": [1, 4, 3, 3, 3, 3, 3, 2, 3, 5, 3, 5, 4, 3, 5, 3, 1, 1, 2, 3, 4, 3, 3, 5, 5, 5, 3, 4, 3, 5, 3, 2, 3, 5, 5, 4, 5, 5, 4, 3, 5, 3, 1, 2, 2, 4, 3, 3, 4, 5, 1, 4, 3, 3, 4, 3, 5, 3, 5, 3, 4, 3, 1, 1, 3, 3, 3, 5, 5, 5, 4, 5, 3, 4, 3, 2, 4, 3, 3, 3, 2, 4, 3, 3, 3], "3670": [4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 4, 4, 5, 3, 5, 4, 2, 3, 4, 4, 3], "1594": [3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 5, 3, 5, 3, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 3, 5, 4, 5, 4, 3, 5, 3, 3, 3, 5, 5, 4, 3, 5, 2, 3, 4, 4, 4, 4, 2, 2, 3, 5, 2, 3, 2, 3, 5, 3, 2, 4, 4, 2, 3, 5, 2, 5, 5, 5, 4, 4, 3, 2, 5, 4, 3, 3, 3, 4, 2, 2, 5, 3, 5, 4, 2, 3, 2, 5, 3, 3, 3, 3, 5, 4, 4, 3, 5, 3, 3, 4, 3, 5, 4, 5, 2, 3, 4], "2124": [5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 3, 3, 5, 4, 3, 5, 4, 5, 4, 5, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 1, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 3, 5, 5, 5, 3, 2, 4, 5, 5, 5, 4, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 1, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 2, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 1, 5, 5, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 5, 5, 1, 3, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 5, 5, 1, 3, 1, 5, 5, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 3, 1, 5, 5, 3, 3, 3, 5, 5, 5, 2, 5, 2, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 5, 4, 5, 2, 5, 4, 4, 5, 2, 5, 4, 5, 5, 3, 1, 2, 4, 4, 5, 4, 2, 5, 5, 5, 5, 1, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 1, 4, 5, 5, 3, 1, 5, 5, 1, 5, 1, 4, 4, 3, 5, 3, 5, 2, 5, 2, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 2, 4, 3, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 5, 2, 3, 4, 2, 5, 4, 5, 3, 5, 5, 5, 3, 3, 1, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 3, 5, 2, 4, 4, 3, 5, 5, 4, 5, 3, 5, 3, 3, 4, 5, 4, 5, 4, 5, 2, 5, 5, 3, 3, 1, 4, 3, 4, 4, 4, 5, 3, 5, 3, 4, 3, 5, 3, 5, 5, 5, 3, 5, 4, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 4, 5, 4, 5, 3, 5, 5, 2, 3, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 3, 3, 3, 5, 5, 5, 3, 5, 5], "4281": [5, 4, 3, 5, 3, 4, 2, 3, 5, 4, 5, 3, 5, 3, 4, 4, 2, 5, 2, 4, 4, 4, 4, 4, 3, 2, 3, 4, 1, 2, 3, 4, 5, 2, 5, 3, 5, 2, 4, 3, 2, 3, 4, 3, 1, 5, 3, 4, 1, 2, 5, 2, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 4, 3, 4, 5, 2, 5, 5, 4, 3, 2, 2, 3, 4, 3, 5, 5, 3, 4, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 2, 5, 4, 3, 4, 5, 5, 3, 4, 5, 4, 2, 4, 4, 3, 3, 5, 3, 4, 3, 5, 2, 5, 4, 3, 5, 4, 4, 2, 3, 3, 4, 3, 5, 4, 4, 4, 4, 4, 2, 4, 4, 5, 2, 4, 5, 4, 5, 3, 3, 3, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 2, 3, 5, 2, 1, 5, 3, 4, 3, 4, 4, 2, 5, 3, 4, 3, 5, 3, 5, 2, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 3, 2, 3, 4, 3, 5, 5], "1125": [3, 3, 1, 1, 5, 4, 5, 2, 4, 5, 4, 5, 5, 1, 3, 3, 5, 4, 3, 3, 3, 5, 1, 5, 3, 4, 5, 3, 4, 1, 5, 2, 2, 5, 3, 3, 5, 3, 2, 3, 4, 4, 3, 2, 3, 2, 3, 5, 3, 4, 2, 5, 2, 3, 3, 2, 4, 3, 3, 3, 2, 4, 5, 3, 4, 2, 3, 2, 2, 4, 3, 4, 3, 2, 3, 3, 5, 4, 2, 4, 3, 3, 4, 4, 1, 4, 3, 5, 3, 5, 3, 4, 3, 4, 5, 4, 3, 5, 3, 3, 3, 4, 3, 2, 2, 5, 3, 3, 5, 3, 4, 5, 5, 4, 4, 2, 2, 3, 5, 3, 3, 5, 5, 3, 3, 3, 3, 5, 1, 3, 2, 2, 4, 1, 2, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 1, 1, 4, 3, 3, 3, 3, 3, 4, 3, 4, 5, 2, 5, 4, 3, 2, 5, 4, 3, 2, 3, 2, 3, 4, 3, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 1, 5, 3, 1, 3, 2, 3, 4, 2, 3, 3, 3, 4, 3, 4, 1, 2, 4, 2, 5, 3, 5, 3, 4, 3, 4, 3, 1, 4, 4, 5, 4, 3, 5, 4, 2, 1, 5, 2, 1, 4, 5, 4, 3, 4, 3, 1, 2, 3, 3, 4, 2, 2, 4, 4, 5, 5, 3, 1, 4, 2, 3, 2, 3, 3, 4, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 5, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 5, 3, 3, 5, 2, 3, 4, 3, 2, 1, 3, 4, 5, 5, 3, 3, 5, 4, 5, 4, 3, 5, 5, 5, 3, 5, 3, 2, 3, 3, 4, 5, 2, 4, 2, 2, 4, 3, 4, 2, 1, 3, 3, 1, 3, 3, 5, 3, 4, 3, 5, 1, 3, 4, 3, 2, 2, 4, 4, 1, 3, 3, 4, 5, 4, 3, 2, 3, 4, 3, 4, 3, 4, 5, 4, 2, 3, 2, 4, 4, 4, 1, 3, 3, 3, 4, 4, 3, 5, 2, 4, 3, 3], "5350": [3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 5, 4, 1, 3, 2, 1, 1, 1, 3, 2, 2, 1, 4, 2, 3, 4, 2, 4, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 2, 5, 3, 4, 2, 3, 2, 1, 3, 3, 3, 3, 4, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 3, 5, 3, 3, 2, 4, 1, 2, 4, 2, 3, 4, 5, 3, 3, 3, 3, 2, 1, 3, 5, 3, 2, 5, 3, 1, 4, 4, 2, 2, 2, 1, 5, 3, 2, 3, 4, 5, 4, 4, 3, 1, 4, 4, 2, 3, 1, 1, 2, 3, 2, 5, 3, 3, 4, 3, 3, 2, 2, 4, 2, 1, 3, 3, 4, 1, 3, 3, 2, 3, 2, 3, 3, 2, 2, 2, 3, 5, 2, 3, 2, 1, 1, 5, 4, 2, 4, 3, 2, 4, 4, 3, 2, 4, 3, 3, 3, 2, 2, 3, 1, 5, 3, 5, 4, 3, 3, 1], "862": [2, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 5, 2, 5, 4, 5, 4, 4, 3, 5, 4, 2, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 2, 3], "4356": [2, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 2, 4, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 2, 4, 3, 5, 3, 4, 5, 3, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 5, 4, 5, 3, 4, 3, 3, 4, 3, 1, 2, 5, 5, 3, 5, 5, 3, 2, 3, 3, 3, 4, 5, 4, 3, 4, 5, 2, 3, 2, 3, 2, 4, 3, 1, 4, 2, 3, 2, 5, 3, 3, 5, 3, 4, 4, 4, 1, 4, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 5, 5, 3, 4, 3, 4, 4, 2, 4, 4, 2, 3, 3, 2, 5, 4, 5, 4, 4, 5, 3, 3, 4, 3, 5, 3, 5, 3, 2, 5, 4, 4, 5, 4, 3, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 5, 1, 4, 5, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 2, 5, 4, 1, 4, 4, 5, 5, 5, 4, 2, 3, 4, 5, 5, 4, 1, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 5, 3, 4, 5, 3, 4, 4, 3, 3, 2, 4, 4, 1, 2, 2, 4, 5, 4, 5, 4, 3, 1, 4, 4, 2, 3, 4, 2, 3, 1, 3, 4, 3, 5, 4], "1780": [3, 3, 3, 2, 5, 3, 4, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 2, 3, 3, 2, 4, 2, 2, 4, 3, 5, 3, 3, 3, 4, 1, 3, 2, 2, 3, 2, 1, 2, 2, 4, 3, 4, 3, 1, 2, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 2, 4, 5, 5, 4, 5, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 2, 4, 4, 3, 3, 3, 3, 3, 5, 2, 3, 3, 2, 3, 3, 3, 4, 3, 3, 3, 5, 3, 2, 3, 4, 3, 3, 4, 4, 2, 3, 5, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 2, 3, 1, 3, 3, 2, 2, 3, 3, 3, 3, 4, 1, 3, 5, 3, 4, 3, 3, 1, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 5, 3, 4, 3, 3, 2, 2, 2, 3, 3, 2, 2, 4, 3, 3, 2, 2, 5, 3, 4, 2, 3, 4, 2, 2, 2, 3, 1, 3, 3, 3, 2, 5, 3, 5, 2, 3, 3, 3, 4, 1, 3, 3, 3, 3, 4, 2, 5, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 1, 2, 2, 4, 3, 3, 4, 2, 2, 4, 5, 3, 3, 4, 2, 2, 3, 3, 1, 2, 3, 3, 2, 3, 3, 2, 1, 3, 3, 4, 2, 3, 3, 2, 2, 3, 3, 3, 4, 3, 2, 3, 2, 2, 3, 4, 2, 3, 2, 5, 2, 4, 4, 2, 4, 3, 3, 3, 3, 2, 3, 3, 3, 5, 2, 2, 2, 3, 2, 2, 3, 3, 5, 2, 3, 4, 3, 3, 2, 3, 4, 2, 1, 3, 3, 3, 4, 3, 2, 4, 2, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 2, 3, 3, 3, 4, 3, 4, 2, 3, 3, 5, 3, 2, 2, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 3, 2, 4, 4, 3, 3, 2, 2, 4, 2, 4, 4, 5, 3, 2, 3, 3, 5, 3, 3, 3, 3, 4, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 3, 2, 3, 5, 4, 2, 3, 3, 2, 3, 3, 3, 5, 3, 3, 1, 3, 3, 2, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 5, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 2, 4, 2, 5, 5, 3, 2, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 4, 3, 5, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 3, 3, 2, 4, 2, 3, 2, 2, 4, 3, 2, 4, 4, 3, 4], "5780": [2, 3, 5, 3, 1, 3, 5, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 5, 5, 3, 2, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 5, 4, 3, 3, 3, 5, 4, 4, 3, 5, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 5, 3, 4, 4, 4, 3, 2, 5, 4, 5, 5, 2, 5, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 2, 4, 4, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 3, 3, 2, 3, 5, 4, 4, 3, 3, 3, 5, 4, 3, 5, 3, 4, 5, 4, 2, 3, 5, 3, 5, 5, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 1, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 3], "4138": [5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 5, 3, 5, 5, 5, 5, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 5, 4, 5, 2, 4, 3], "2028": [4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 2, 3, 1, 3, 4, 5], "232": [3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 3, 1, 1, 4, 5, 3, 2, 3, 5, 4, 4, 5, 5, 1, 3, 4, 4, 5, 4, 2, 3, 2, 5, 3, 4, 5, 4, 4, 3, 4, 4, 3, 5, 2, 5, 5, 3, 3, 1, 2, 5], "5044": [3, 4, 4, 5, 4, 4, 5, 5, 2, 1, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 2, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 3, 3, 5, 4, 5, 3, 3, 5, 5, 4, 5, 4, 2, 5, 3, 4, 5, 5, 4, 2, 4, 5, 5, 2, 4, 5, 5, 4, 5, 1, 4, 3, 4, 4, 4, 4], "1584": [4, 3, 5, 3, 2, 4, 4, 3, 3, 3, 5, 2, 5, 4, 5, 4, 4, 4, 3, 4, 3, 1, 3, 4, 4, 2, 4, 4, 4, 5, 3, 4, 4, 5, 2, 4, 2, 5, 4, 4, 1, 5, 2, 5, 3, 2, 2, 5, 3, 3, 5, 1, 5, 1, 3, 3, 1, 2, 4, 4, 3, 5, 1, 3, 4, 4, 2, 3, 5, 5, 1, 3, 3, 2, 2, 3, 3, 3, 5, 4, 4, 5, 4, 3, 5, 2, 4, 2, 5, 2, 5, 5, 3, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 2, 4, 4, 4, 3, 1, 5, 3, 4, 4, 5, 5, 3, 4, 5, 4, 2, 2, 4, 2, 2, 4, 3, 3, 5, 2, 2, 3, 3, 4, 5, 3, 3, 5, 4, 5, 3, 4, 4, 5, 5, 3, 3, 4, 5, 4, 2, 4, 2, 2, 3, 5, 2, 3, 3, 3, 3, 2, 3, 2, 4, 3, 2, 3, 4, 4, 3, 3, 5, 5, 5, 5, 4, 2, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 3, 4, 5, 2, 2, 4, 4, 5, 5, 5, 4, 3, 1, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 1, 4, 3, 2, 3, 3, 4, 3, 5, 5, 4, 2, 5, 4, 5, 4, 5, 4, 1, 3, 4, 3, 3, 2, 3, 2, 4, 3, 4, 2, 3, 5, 2, 2, 2, 1, 4, 4, 4, 2, 5, 4, 4, 1, 4, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 3, 5, 1, 2, 2, 3, 3, 4, 3, 5, 1, 5, 1, 1, 4, 3, 3, 2, 5, 5, 3, 3, 2, 4, 4, 1, 2, 2, 4, 3, 4, 4, 4, 3, 5, 2, 3, 4, 5, 3, 4, 1, 3, 4, 4, 2, 4, 1, 2, 5, 5, 3, 3, 2, 3, 3, 2, 3, 1, 5, 2, 4, 5, 4, 3, 2, 3, 5, 3, 4, 3, 4, 4, 3, 2, 4, 5, 4, 3, 5, 2, 3, 4, 1, 3, 4, 3, 2, 2, 2, 4, 3, 4, 4, 2], "317": [5, 4, 4, 4, 3, 4, 5, 2, 3, 5, 4, 2, 4, 2, 4, 4, 4, 5, 4, 4, 4], "5922": [4, 4, 5, 4, 3, 4, 5, 3, 4, 1, 5, 3, 4, 4, 2, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 3, 3, 3, 4, 4, 4, 5, 1, 5, 4, 5, 2, 4, 4, 3, 4, 4, 1, 3, 4, 3, 5, 4, 4, 2, 4, 4, 4, 3, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 1, 4, 4, 4, 5, 1, 4, 4, 5, 3, 3, 3, 1, 5, 3, 2, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 4, 4, 4, 5, 5, 2, 5, 4, 3, 3, 3, 3, 5, 5, 4, 2, 3, 2, 5, 5, 4, 5, 4, 3, 4, 4, 5, 1, 5, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 5, 4, 5, 4, 3, 2, 4, 3, 3, 5, 2, 1, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 4, 5, 3, 2, 2, 4, 3, 2, 5, 4, 4, 4, 3, 3, 5, 3, 4, 3, 5, 3, 4, 2, 4, 2, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 4, 4, 4, 2, 4, 3, 3, 4, 5, 2, 4, 2, 3, 2, 5, 4, 4, 4, 5, 2, 4], "1480": [2, 2, 5, 3, 3, 5, 4], "3024": [3, 3, 5, 2, 4, 4, 4, 4, 5, 2, 3, 4, 4, 2, 5, 4, 5, 4, 2, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 2, 3, 2, 4, 4, 1, 1, 3, 4, 4, 3, 4, 4, 4, 3, 2, 5, 4, 5, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 2, 4, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 3, 4, 3, 5, 5, 5, 2, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 2, 3, 4, 3, 5, 5, 2, 3, 4, 4, 4, 5, 5, 3, 5, 2, 3, 4, 4, 4, 2, 4, 5, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 5, 4, 5, 4, 3, 2, 5, 3, 3, 5, 3, 5, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 3, 5, 4, 4, 3, 5, 4, 3, 4, 4, 2, 4, 5, 5, 4, 5, 4, 4], "3557": [5, 3, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 3, 3, 4, 5, 4, 5, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 5, 5, 4, 5, 3, 1, 5, 3, 4, 5, 4, 3, 4, 3, 2, 5, 5, 3, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 2, 4, 3, 3, 4, 4, 5, 4, 5, 4, 2, 3, 4, 5, 3, 4, 4, 3, 3, 5, 5, 4, 5, 5, 4, 5, 1, 4, 4, 2, 5, 5, 5, 3, 4, 3, 5, 3, 2, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 5, 5, 2, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 1, 4, 5, 5, 4, 4, 2, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 4, 1, 4, 3, 4, 4, 4, 3, 1, 5, 5, 1, 4, 3, 4, 5, 4, 3, 4, 4, 2, 5, 3, 5, 4, 5, 3, 4, 4, 5, 4, 4, 1, 3, 4, 3, 4, 4, 4, 5, 2, 5, 5, 1, 4, 4, 5, 3, 5, 5, 1, 5, 3, 4, 5, 3, 1, 5, 5, 5, 3, 4, 3, 4, 5, 3, 3, 4, 3, 3, 4, 2, 4, 5, 2, 5, 4, 5, 4, 3, 5, 2, 4, 5, 4, 4, 3, 5, 4, 2, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 2, 4, 5, 5, 2, 4, 3, 4, 3, 5, 4, 4, 4, 5], "1862": [5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 3], "2055": [4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 2, 3, 4, 4, 5, 3, 5, 5, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 5, 2, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 5, 3, 5, 5, 4, 2, 4, 3, 5, 5, 4, 4, 4, 3, 3, 4, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 5, 4, 3, 2, 4, 5, 4, 3, 5, 3, 5, 4, 2, 4, 5, 5, 4, 5, 5, 4, 3, 5, 4, 5, 5], "5342": [5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3, 5, 1, 4, 3, 2, 4, 3, 4, 5, 5, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 1, 4, 3, 4, 4, 3, 3, 5, 4, 3, 3, 5, 5, 1, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 4, 4, 4, 1, 4, 4, 5, 5, 4, 4, 1, 4, 1, 3, 3, 4, 5, 1], "3284": [5, 4, 3, 4, 2, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5], "5845": [4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 3, 5, 4, 5, 4, 5, 1, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 1], "4801": [5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 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, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 3, 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, 5, 5, 5, 1, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 5, 5], "1715": [5, 5, 5, 5, 5, 3, 5, 3], "3969": [4, 4, 4, 3, 3], "447": [4, 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, 4, 4, 5, 5, 5, 5, 5, 5], "475": [5, 3, 3, 5, 5, 4, 4, 5, 4, 5, 2, 4, 3, 5, 3, 5, 5, 5, 5, 4, 5, 4, 3, 4, 3, 2, 1, 4, 3, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 4, 3, 1, 3, 4, 4, 1, 5, 2, 4, 4, 5, 4, 3, 5, 3, 2, 5, 1, 4, 4, 4, 3, 2, 5, 3, 5, 4, 5, 3, 4, 5, 3, 2, 2, 5, 5, 5, 4, 3, 3, 4, 5, 4, 5, 5, 5, 5, 3, 2, 5, 2, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 2, 4, 3, 2, 5, 3, 4, 4, 5, 1, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 4, 5, 1, 2, 3, 4, 3, 4, 4, 4, 4, 1, 5, 5, 2, 5, 3, 3, 3, 3, 4, 4, 2, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 5, 5, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 3, 5, 4, 5, 4, 4, 5, 2, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 2, 5, 4, 3, 4, 4], "323": [5, 3, 3, 5, 5, 2, 4, 5, 2, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 2, 5, 4, 2, 5, 4, 3, 4, 5, 2, 3, 3, 5, 2, 5, 5, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 4, 2, 3, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4], "1518": [5, 4, 3, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5], "3730": [4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3], "3583": [5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 3, 1, 5, 5, 3, 5, 4, 4, 2], "2073": [3, 1, 4, 4, 1, 4, 5, 4, 3, 4, 4, 4, 5, 5, 3, 5, 3, 2, 4, 4, 5, 5, 4, 1, 2, 5, 2, 5, 3, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 1, 5, 4, 4, 3, 5, 5, 4, 4, 3, 5, 5, 4, 1, 4, 5, 1, 5, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 5, 4, 4, 5, 1, 4, 5, 2, 3, 4, 2, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 1, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 1, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 3, 1, 1, 3, 5, 4, 4, 4, 5, 1, 4, 5, 1, 4, 4, 5, 4, 3, 4, 1, 5, 3, 5, 4, 4, 3, 1, 5, 5, 5, 5, 3, 4, 3, 4, 1, 4, 5, 5, 5, 3, 1, 4, 4, 4, 5, 5, 4, 5, 4, 4, 1, 1, 1, 1, 5, 4, 5, 4, 2, 5, 1, 1, 4, 1, 4, 3, 5, 1, 5, 3, 4, 3, 4, 5, 5, 4, 5, 5, 3, 1, 1, 1, 5, 5, 3, 1, 1, 5, 4, 1, 5, 3, 4, 2, 5, 3, 4, 2, 1, 5, 1, 3, 4, 5, 1, 4, 4, 4, 5, 4, 3, 5, 5, 5, 2, 4, 5, 4, 5, 3, 3, 3, 5, 4, 3, 5, 3, 5, 4, 4, 5, 5, 5, 3, 4, 2, 3, 5, 5, 4, 3, 3, 5, 5, 1, 5, 5, 1, 5, 1, 3, 2, 5, 4, 1, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 1, 4, 4, 4, 3, 4, 1, 1, 1, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 2, 5, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 1, 5, 3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 4, 5, 2, 1, 4, 5, 4, 5, 2, 4, 4, 1, 3, 4, 5, 5, 5, 5, 4, 2, 1, 5, 4, 4, 3, 5, 5, 5, 4, 2, 1, 1, 5, 5, 4, 4, 1, 5, 5, 5, 1, 5, 1, 1, 4, 4, 5, 5, 2, 5, 3, 2, 4, 5, 5, 2, 3, 4, 4, 1, 5, 1, 3, 4, 4, 5, 2, 4, 5, 4, 4, 3, 1, 4, 1, 5, 1, 5, 5, 3, 5, 3, 3, 5, 4, 5, 5, 4, 4, 4, 3, 4, 4, 1, 4, 4, 5, 5, 3, 5], "4859": [4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 3, 3, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 1], "1746": [5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 3, 3, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 5, 4, 2, 5, 5, 5, 3, 5, 4, 3, 5, 4, 5, 5, 2, 4, 5, 5, 3, 3, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 2, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 3, 5, 3, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 5, 1, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 1, 5, 5, 5, 5, 2, 3, 5, 5, 3, 3, 2, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], "4379": [2, 3, 3, 5, 4, 3, 2, 3, 2, 3, 5, 3, 3, 3, 2, 3, 2, 4, 2, 5, 4, 4, 5, 2, 4, 2, 2, 1, 4, 4, 2, 4, 2, 4, 2, 2, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 4, 3, 2, 4, 3, 2, 3, 4, 3, 4, 5, 4, 1, 4, 3, 3, 5, 3, 5, 1, 4, 4, 2, 4, 3, 2, 2, 3, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 3, 2, 4, 2, 3, 3, 4, 2, 2, 1, 4, 3, 1, 2, 3, 3, 2, 5, 3, 2, 2, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 2, 5, 4, 3, 4, 5, 3, 3, 5, 5, 2, 5, 4, 2, 3, 4, 3, 2, 3, 3, 4, 4, 1, 4, 4, 4, 4, 5, 3, 4, 4, 2, 5, 3, 4, 3, 3, 5, 3, 4, 4, 4, 2, 2, 4, 3, 5, 4, 4, 3, 4, 5, 1, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 5, 1, 4, 4, 1, 2, 2, 2, 5, 4, 3, 2, 2, 3, 3, 2, 4, 3, 3, 4, 5, 2, 2, 2, 3, 2, 1, 1, 4, 3, 2, 5, 3, 2, 2, 4, 4, 2, 3, 3, 5, 5, 4, 3, 5, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 2, 2, 4, 3, 2, 3, 1, 5, 1, 4, 4, 4, 2, 2, 4, 3, 2, 4, 1, 2, 4, 4, 4, 2, 4, 5, 2, 4, 3, 1, 4, 3, 5, 2, 3, 3, 1, 2, 4, 4, 4, 2, 5, 4, 2, 2, 2, 5, 3, 3, 5, 2, 4, 2, 2, 3, 3, 1, 4, 5, 4, 3, 1, 3, 5, 4, 4, 4, 1, 1, 5], "5858": [4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 5, 3, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 4, 5, 4, 3, 3, 3, 5, 5, 3, 5, 3, 4, 5, 5, 4, 4, 4, 5, 5, 3, 4, 1, 3, 1, 4, 5, 4, 2, 5, 5, 5, 3, 5, 4, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 1, 4, 4, 3, 5, 5, 4, 5, 2, 3, 5, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 3, 3, 1, 4, 5, 4, 5, 3, 2, 5, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 5, 3, 5, 4, 4, 5, 3, 4, 5, 4, 5], "983": [3, 5, 3, 5, 5, 4, 3, 4, 5, 5, 3, 4, 5, 5, 3, 2, 5, 5, 5, 5, 2, 2, 3, 4, 3, 5, 4, 3, 5, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 2, 5, 3, 3, 5, 5, 4], "2376": [3, 5, 2, 4, 2, 5, 5, 3, 2, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 3, 3, 1, 4, 4, 4, 2, 4, 3, 4, 4, 2, 4, 4, 3, 1, 5, 4, 5, 2, 5, 5, 4, 4, 4, 4, 4, 5, 5, 2, 3, 3, 1, 4, 5, 2, 2, 3, 2, 3, 5, 4, 4, 2, 2, 1, 3, 3, 5, 2, 2, 3, 3, 3, 3, 5, 5, 3, 5, 4, 4, 4, 2, 5, 2, 2, 5, 4, 2, 2, 3, 1, 2, 2, 3, 2, 4, 2, 3, 3, 3, 4, 2, 3, 5, 3, 5, 2, 4, 4, 3, 4, 2, 2, 4, 5, 4, 4, 5, 3, 4, 3, 3, 3, 4, 4, 5, 5, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 2, 1, 3, 3, 4, 4, 3, 1, 2, 5, 4, 4, 3, 4, 3, 2, 2, 2, 4, 4, 5, 4, 4, 4, 5, 3, 2, 4, 4, 4, 4, 3, 2, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 5, 3, 3, 2, 4, 4, 4, 3, 3, 5, 3, 5, 5, 4, 4, 5, 3, 5, 2, 5, 5, 2, 3, 3, 2, 3, 3, 3, 5, 3, 3, 5, 2, 2, 1, 4, 3, 4, 3, 4, 4, 2, 4, 2, 5, 3, 4, 2, 4, 4, 2, 2, 5, 2, 2, 4, 3, 4, 3, 3, 1, 3, 3, 3, 2, 3, 2, 2, 5, 1, 5, 3, 5, 5, 4, 5, 3, 3, 2, 2, 3, 4, 2, 2, 2, 2, 4, 4, 3, 5, 4, 5, 4, 4, 3, 4, 2, 4, 5, 2, 3, 4, 4, 1, 3, 1, 3, 5, 2, 5, 4, 5, 5, 5, 4, 2, 5, 3, 3, 4, 2, 5, 4, 2, 3, 2, 2, 4, 4, 3, 4, 2, 4, 5, 4, 5, 2, 3, 3, 4, 5, 4, 4, 3, 5, 1, 2, 4, 4, 4, 2, 5, 4, 4, 4, 5, 3, 3, 2, 4, 2, 4, 5, 3, 5, 3, 5, 2, 4, 2, 4, 2, 4, 5, 4, 3, 5, 4, 4, 4, 2, 3, 2, 5, 4, 5, 4, 4, 3, 5, 3, 4, 4, 3, 5, 5, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5], "2434": [5, 5, 1, 4, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 5], "1230": [4, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 2, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 5, 5, 2, 4, 4, 4, 5, 2, 4, 3, 4, 4, 3, 4, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 1, 4, 4, 4, 3, 2, 3, 5, 3, 5, 4, 4, 4, 2, 3, 5, 2, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 4, 3, 3, 5, 4, 2, 4, 4, 1, 4, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4], "339": [4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 3, 5, 5, 4, 5, 4, 3, 4, 3, 5, 5, 4, 3, 5, 4, 5, 1, 4, 4, 4, 4, 4, 5, 3, 1, 2, 3, 5, 3, 4, 5, 4, 4, 5, 5, 4, 5], "298": [4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 5, 2, 4, 4], "3416": [4, 2, 3, 4, 4, 4, 1, 2, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 2, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 5, 2, 4, 4, 2, 4, 4, 5, 2, 2, 4, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 1, 1, 4, 5, 4, 5, 4, 3, 3, 3, 5, 3, 3, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 3, 2, 4, 5, 3, 3, 4, 5, 5, 3, 2, 2, 4, 2, 4, 2, 3, 2, 3, 4, 5, 3, 5, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 1, 4, 4, 3, 5, 5, 5, 4, 5, 4, 3, 1, 3, 3, 2, 4, 4, 4, 5, 3, 4, 3, 5, 5, 2, 4, 3, 5, 3, 2, 3, 4, 4, 5, 4, 2, 4, 3, 5, 4, 3, 3, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 2, 5, 2, 4, 3, 2, 4, 2, 4, 2, 5, 4, 4, 3, 3, 1, 4, 2, 4, 4, 3, 4, 2, 2, 5, 3, 3, 5, 2, 4, 4, 3, 5, 4, 3, 2, 4, 2, 5, 1, 2, 3, 3, 4, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 2, 3, 4, 4, 4, 3, 3, 2, 5, 3, 2, 4, 3, 4, 2, 2, 5, 5, 2, 5, 3, 3, 5, 4, 2, 5, 4, 4, 5, 2, 1, 5, 2, 4, 4, 4, 2, 3, 3, 1, 1, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 2, 4, 3, 2, 2, 4, 4, 4, 2, 3, 4, 5, 3, 4, 4, 2, 3, 5, 4, 3, 4, 1, 5, 4, 4, 2, 5, 5, 5, 4, 4, 5, 2, 4, 4, 3, 3, 4, 3, 4, 2, 3, 3, 3, 3, 5, 1, 4, 4, 3, 2, 5, 3, 2, 3, 2, 4, 2, 2, 4, 5, 4, 3, 2, 4, 3, 4, 4, 3, 4, 1, 4, 5, 3, 4, 4, 3], "3476": [5, 5, 3, 3, 5, 5, 3, 5, 1, 5, 5, 3, 1, 1, 5, 4, 1, 4, 5, 1, 1, 5, 4, 5, 5, 4, 1, 3, 5, 1, 3, 2, 1, 5, 5, 5, 1, 5, 5, 1, 1, 1, 5, 4, 5, 5, 1, 1, 1, 1, 1, 5, 1, 3, 1, 1, 2, 5, 5, 3, 4, 3, 5, 2, 1, 3, 4, 5, 2, 5, 3, 3, 3, 5, 5, 4, 4, 4, 3, 4, 1, 2, 4, 5, 2, 1, 1, 1, 3, 3, 5, 5, 5, 5, 3, 4, 3, 1, 3, 1, 4, 5, 5, 3, 5, 5, 1, 1, 5, 5, 5, 2, 5, 4, 5, 3, 1, 1, 1, 5, 2, 3, 3, 4, 5, 3, 4, 5, 3, 1, 5, 5, 1, 1, 1, 4, 1, 5, 5, 1, 1, 3, 1, 3, 5, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 5, 1, 5, 5, 5, 5, 5, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 3, 1, 3, 1, 1, 1, 1, 1, 3, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5, 1, 1, 4, 1, 1, 4, 1, 1, 4, 5, 1, 5, 1, 5, 1, 5, 1, 1, 5, 1, 1, 5, 5, 5, 5, 1, 5, 1, 1, 5, 3, 3, 5, 1, 5, 4, 5, 1, 5, 4, 1, 1, 1, 1, 5, 2, 4, 1, 1, 1, 1, 5, 3, 1, 5, 1, 5, 4, 3, 1, 1, 1, 5, 3, 1, 5, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 2, 3, 1, 1, 1, 1, 5, 5, 5, 1, 3, 5, 1, 1, 5, 3, 1, 1, 5, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 5, 4, 5, 5, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 5, 1, 1, 5, 1, 5, 3, 1, 1, 1, 5, 1, 5, 1, 5, 5, 4, 1, 1, 1, 1, 2, 5, 4, 5, 1, 1, 1, 5, 3, 1, 1, 1, 1, 1, 1, 5, 1, 5, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 5, 5, 5, 5, 3, 5, 3, 1, 1, 5, 1, 1, 1, 5, 5, 5, 1, 5, 1, 5, 5, 5, 5, 2, 1, 5, 1, 5, 3, 1, 2, 5, 5, 3, 1, 1, 4, 5, 5, 1, 1, 4, 5, 4, 4, 5, 1, 1, 4, 5, 5, 1, 5, 1, 3, 5, 1, 5, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 5, 4, 5, 5, 5, 5, 1, 5, 1, 1, 2, 1, 3, 1, 1, 5, 1, 5, 1, 1, 1, 4, 4, 1, 5, 5, 1, 5, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 5, 2, 1, 1, 5, 3, 1, 4, 4, 1, 1, 5, 5, 4, 5, 4, 1, 4, 5, 1, 5, 1, 5, 5, 4, 5, 5, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 3, 1, 1, 5, 5, 4, 3, 1, 2, 1, 5, 3, 1, 1, 2, 5, 1, 4, 1, 1, 5, 5, 5, 1, 5, 5, 3, 1, 1, 1, 5, 1, 2, 3, 4, 5], "5717": [4, 4, 5, 4, 5, 3, 3, 4, 5, 4, 5, 4, 2, 2, 3, 1, 3, 4, 3, 2, 3, 5, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 5, 3, 3, 3, 5, 5, 4, 3, 5, 3, 3, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 5, 4, 3, 3, 3, 2, 4, 5, 4, 3, 4, 4, 2, 2, 3, 4, 3, 3, 2, 4, 3, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 2, 4, 2, 5, 4, 3, 4, 3, 5, 5, 3, 5, 3, 2, 2, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 2, 5, 5, 4, 5, 3, 2, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 1, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 2, 3, 4, 5, 3, 5, 5, 3, 5, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 3, 5, 2, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 4, 2, 4, 5, 5, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 2, 3, 5, 4, 4, 3, 5, 2, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 2, 4, 5, 5, 3, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 3, 4, 3, 2, 5, 2, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 2, 4, 4, 4, 5, 2, 2, 3, 5, 4, 5, 3, 4, 4, 4, 5, 1, 4, 4, 5, 4, 3, 3, 2, 5, 3, 4, 4, 5, 3, 4, 4, 4, 3, 5, 3, 2, 4, 3, 4, 2, 1, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 5, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 3, 5, 5, 4, 2, 5, 2, 5, 3, 3, 3, 3, 4, 5, 3, 3, 4, 5], "50": [2, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 1, 4, 3, 4, 4, 4, 3], "1902": [5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 3, 5, 4, 3, 3, 3, 2, 4, 4, 2, 4, 3, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 4, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 1, 4, 4, 3, 3, 4, 5, 3, 4, 2, 5, 3, 2, 5, 4, 4, 4, 4, 5, 3, 3, 5, 4, 1, 2, 5, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 5, 4, 4, 2, 4, 4, 3, 4, 2, 3, 4, 4, 3, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 2, 4, 3, 2, 3, 3, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 2, 5, 4, 3, 5, 2, 4, 3, 3, 5, 5, 3, 4, 4, 5, 3, 3], "2644": [4, 4, 1, 3, 4, 4, 2, 2, 4, 4, 5, 4, 4, 5, 5, 4, 5], "664": [5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 4, 5, 5, 4, 5, 2, 5, 4, 5, 5, 5, 4, 4, 1, 2, 5, 3, 4, 4, 3, 4, 5, 2, 1, 5, 4, 5, 5, 3, 5, 3, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 3, 5, 4, 3, 3, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 4, 4, 2, 5, 4, 4, 4, 3, 3, 5, 4, 5, 3, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3], "3086": [3, 3, 4, 5, 5, 5, 3, 4, 4, 3, 4, 5, 5, 3, 5, 1, 3, 5, 5, 4, 2, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 1, 4, 1, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4], "3213": [4, 3, 5, 5, 1, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 3, 1, 4, 2, 1, 2, 5, 2, 3, 1, 4, 2, 4, 5, 5, 4, 2, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 3, 4, 1, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 1, 4, 3, 5, 5, 4, 4, 4, 4, 1, 4, 5, 3, 3, 4, 1, 4, 5, 5, 4, 5, 5, 4, 5, 1, 5, 4], "258": [3, 3, 4, 5, 3, 1, 5, 5, 5, 5, 3, 4, 1, 5, 3, 2, 5, 5, 3, 4, 4, 4, 5, 2, 4, 5, 4, 5, 4, 5, 4, 3, 4, 2, 4, 2, 3, 2, 5, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 5, 3, 4, 5, 3, 4, 3, 5, 3, 2, 5, 5, 5, 3, 4, 4, 5, 5, 3, 4, 5, 3, 1, 4, 3, 3, 5, 3, 2, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 3, 5, 4, 2, 3, 5, 3, 2, 5, 1, 4, 4, 5, 3, 2, 4, 4], "425": [4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 2, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 2, 3, 4, 4, 5, 4, 4, 2, 1, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 2, 4, 4, 3, 4, 5, 2, 2, 5, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 3, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 1, 3, 5, 3, 4, 4, 4, 4, 3, 5, 4, 3, 4, 2, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 1, 4, 5, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 1, 3, 4, 3], "5774": [5, 3, 5, 4, 4, 1, 1, 3, 4, 2, 4, 5, 3, 4, 4, 4, 2, 2, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 1, 3, 3, 1, 4, 2, 4, 5, 4, 4, 2, 4, 3, 4, 4, 1], "3315": [4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 5, 5, 4, 2, 2, 5, 3, 5, 3, 4, 3, 5, 3, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 2, 2, 1, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 5, 5, 4, 5, 3, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 3, 5, 2, 4, 4, 4, 4, 5, 4, 5], "1199": [4, 4, 4, 2, 4, 4, 3, 4, 5, 4, 4, 5, 3, 2, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 1, 2, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 5, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 1, 3, 4, 4, 5, 4, 4, 3, 3, 4, 1, 4, 5, 3, 4, 4, 4, 2, 5, 3, 4, 4, 3, 5, 5, 4, 3, 4, 5, 5, 3, 5, 4, 5, 3, 4, 2, 3, 2, 4, 2, 5, 5, 3, 5, 3, 4, 5, 3, 5, 3, 5, 5, 2, 1, 3, 4, 1, 4, 5, 5, 4], "5293": [5, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 5, 3, 3], "2265": [3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 5, 5, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 5, 5, 5, 3, 5, 3, 4, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 3, 4, 3, 5, 4, 4, 4, 3, 4, 4, 3, 2, 3, 3, 3, 4, 2, 4, 3, 2, 3, 4, 5, 4, 2, 4, 2, 2, 4, 4, 4, 5, 3, 5, 3, 5, 3, 3, 3, 4, 4, 4, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 5, 5, 3, 3, 4, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 4, 2, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 4, 5, 4, 4, 3, 4, 2, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 5, 4, 3, 3], "5260": [1, 5, 2, 2, 2, 1, 5, 2, 5, 4, 3, 4, 2, 4, 5, 5, 5, 4, 5, 3, 5, 2, 3, 4, 5, 4, 3, 5, 5, 3, 4, 5, 5, 4, 5, 2, 5, 2, 5, 3, 4, 4, 1, 1, 1, 4, 5, 4, 5, 2, 2, 2, 5, 5, 4, 3, 5, 3, 3, 2, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 1, 5, 4, 4, 2, 2, 3, 2, 3, 4, 5, 3, 1, 1, 4, 2, 1, 4, 2, 4, 5, 5, 5, 3, 5, 4, 3, 2, 5, 5, 4, 5, 5, 4, 3, 3, 5, 3, 4, 3, 2, 4, 3, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 3, 2, 3, 5, 5, 4, 4, 5, 4, 5, 4, 4, 1, 2, 4, 1, 1, 1, 3, 2, 4, 3, 5, 3, 3, 2, 2, 5, 2, 2, 3, 3, 2, 1, 5, 1, 5, 5, 4, 1, 5, 5, 1, 2, 1, 5, 5, 2, 3, 3, 4, 5, 5, 5, 4, 5, 3, 3, 4, 3, 2, 5, 2, 3, 4, 5, 4, 3, 3, 2, 1, 1, 5, 5, 4, 5, 3, 4, 3, 4, 4], "3863": [5, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 5], "839": [5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 5, 4, 5, 2, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 3, 5, 5, 2, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 2, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 2, 3, 3, 4, 2, 4, 1, 2, 3, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 5, 4, 4, 3, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 2, 1, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 4, 2, 4, 4, 5, 2, 4, 4, 5, 4, 3, 4, 4, 2, 4, 3, 5, 4, 4, 4, 2, 5, 2, 5, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 3, 2, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 4, 5, 3, 4, 4, 3, 5, 2, 4, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 2, 4, 3, 4, 4, 5, 3, 4, 5, 5, 3, 5, 4, 5, 4, 4, 5, 2, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 2, 5, 5, 5, 4, 4, 4, 4, 4, 5, 2, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 4, 3, 2, 3, 4, 5, 5, 1, 3, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 4, 2, 4, 3, 5, 4, 2, 5, 5, 1, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 4, 5, 4, 3, 2, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 2, 4, 3, 5, 1, 4, 5, 4, 3, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 5, 4, 4, 4, 2, 5, 2, 1, 5, 5, 1, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 5, 2, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 1, 5, 3, 5, 3, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 5, 5, 5], "1799": [3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 3, 2, 5, 4, 4, 4, 3, 5, 4, 4, 2, 3, 5, 2, 3, 2, 5, 3, 5, 4, 5, 3, 3, 2, 5, 4, 3, 5, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 4, 5, 1, 2, 4, 4, 5, 4, 3, 1], "3749": [3, 3, 3, 3, 5, 3, 4, 3, 2, 5, 2, 5, 5, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 1, 4, 3, 3, 2, 4, 4, 5, 2, 3, 3, 4, 4, 2, 4, 3, 5, 5, 3, 2, 5, 3, 4, 4, 4, 3, 4, 5, 4, 5, 5, 4, 3, 5, 4, 2, 3, 3, 2, 5, 5, 4, 4, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 2, 3, 5, 4, 5, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4], "981": [2, 4, 3, 3, 2, 4, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 2, 3, 3, 5, 4, 3, 2, 3, 2, 4, 3, 5, 3, 2, 4, 4, 4, 2, 4, 3, 4, 4, 5, 4, 1, 3, 4, 2, 4, 5, 2, 1, 3, 2, 3, 2, 2, 3, 2, 5, 4, 3, 4, 4, 3, 2, 3, 2, 4, 2, 1, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 1, 4, 4, 2, 3, 2, 1, 3, 4, 2, 5, 3, 2, 4, 5, 4, 4, 1, 4, 2, 3, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 3, 4, 1, 3, 2, 3, 3, 2, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 2, 4, 2, 3, 5, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 5, 5, 2, 4, 4, 4, 5, 3, 4, 5, 3, 3, 5, 4, 2, 4, 4, 2, 4, 4, 5, 4], "2156": [3, 3, 4, 3, 3, 4, 4, 4, 1, 4, 4, 3, 4, 4, 3, 5, 4, 2, 4, 4, 3, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 3, 2, 3, 3, 5, 2, 4, 3, 4, 5, 3, 2, 3, 5, 2, 4, 4, 4, 5, 1, 3, 3, 4, 3, 4, 2, 2, 2, 3, 3, 2, 4, 2, 3, 3, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 2, 3, 5, 3, 4, 3, 4, 1, 4, 5, 3, 5, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 2, 4, 4, 2, 4, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 1, 5, 3, 1, 3, 3, 3, 4, 3, 3, 3, 3, 1, 5, 2, 3, 5, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 3, 3, 4, 1, 2, 5, 3, 4, 3, 5, 3, 4, 2, 5, 4, 3, 4, 4, 4, 1, 4, 2, 1, 2, 3, 3, 3, 2, 3, 3, 4, 4, 3, 1, 3, 4, 4, 2, 4, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 2, 3, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 3, 5, 4, 5, 5, 3, 4, 2, 1, 4, 3, 4, 5, 5, 3, 4, 5, 4, 5, 2, 4, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 2, 3, 3, 2, 4, 3, 3], "114": [1, 3, 3, 4, 3, 5, 5, 4, 3, 5, 3, 4, 3, 3, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 4, 5, 4, 4, 3, 5, 4, 1, 5, 4, 1, 5, 4, 1, 5, 3, 2, 2, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 3, 4, 4, 2, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5], "2742": [2, 2, 3, 4, 4, 2, 2, 4, 5, 5, 3, 4, 2, 3, 4, 2, 4, 1, 3, 3, 2, 1, 4, 1, 3, 1, 1, 2, 1, 4, 2, 1, 1, 1, 3, 4, 3, 3, 4, 1, 1, 2, 2, 4, 2, 4, 5, 4, 3, 3, 2, 2, 4, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 4, 3, 1, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 2, 4, 5, 2, 3, 4, 1, 5, 2, 3, 1, 4, 3, 4, 2, 3, 4, 4, 4, 4], "2985": [3, 2, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 1, 3, 4, 3, 5, 5, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 4, 2, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 3, 5, 4, 4, 2, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 1, 2, 5, 5, 4, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 1, 5, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 5, 4, 4, 4, 3, 4, 2, 3, 4, 2, 3, 1, 4, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 1, 4, 2, 4, 4, 4, 4, 2], "396": [3, 2, 4, 3, 2, 4, 4, 4, 1, 2, 3, 4, 5, 4, 5, 5, 4, 4, 2, 4, 5, 4, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 5, 1, 3, 4, 3, 1, 4, 3, 5, 3, 2, 5, 4, 4, 4, 3, 3, 2, 3, 4, 2, 5, 5, 3, 4, 3, 5, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 3, 4, 2, 5, 2, 5, 4, 5, 4, 4, 3, 3, 3, 5, 4, 3, 5, 3, 5, 4, 3, 5, 4, 1, 3, 3, 5, 3, 2, 5, 3, 2, 3, 3, 5, 2, 4, 5, 4, 1, 1, 2, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 2, 1, 4, 4, 5, 4], "4285": [3, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 4, 3, 4, 3, 3, 5, 4, 3, 4, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 3, 3, 3, 2, 5, 4, 5, 5, 3, 1, 4, 5, 3, 4, 5, 3, 3, 4, 4, 5, 5, 3, 3, 4, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 2, 4, 4, 1, 3, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 5, 5, 3, 3, 2, 5, 3, 4, 4, 2, 5, 5, 3, 5, 5, 5, 4, 4, 5, 4, 3, 2, 3, 4, 5, 3, 3, 4, 5, 3, 5, 3, 4, 4, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 5, 4, 2, 3, 3, 4, 4, 1, 4, 3, 2, 4, 4, 4, 3, 5, 3, 2, 2, 4, 4, 4, 4, 3, 5, 3, 5, 4, 3, 5, 5, 5, 5, 1, 4, 4, 4, 4, 4, 4, 2, 5, 2, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 2, 4, 3, 3, 5, 4, 5, 4, 3, 2, 3, 4, 5, 4, 4, 3, 4, 3, 3, 1, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 4, 5, 4, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 2, 3, 5, 5, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 5, 3, 2, 4, 5, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 5, 3, 3, 4, 3, 5, 5, 3, 3, 3, 5, 4, 5, 4, 2, 3, 4, 3, 4, 3, 4, 5, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 5, 3, 4, 3, 4, 5, 3, 3, 4, 4, 2, 5, 5, 4, 5, 5, 3, 3, 3, 4, 2, 1, 5, 5, 4, 4, 2, 2, 1, 4, 5, 5, 3, 3, 4, 2, 5, 2, 3, 4, 3, 5, 2, 4, 4, 4, 3, 3, 4, 5, 3, 4, 3, 5], "3961": [2, 4, 5, 4, 4, 4, 5, 4, 5, 3, 5, 5, 2, 5, 5, 5, 3, 1, 4, 2, 5, 5, 5, 5, 4, 3, 3, 3, 4, 1, 4, 3, 1, 1, 5, 3, 4, 5, 4, 2, 2, 1, 5, 5, 5, 4, 2, 5, 3, 3, 3, 5, 4, 4, 3, 2, 3, 5, 3, 5, 4, 1, 3, 1, 3, 4, 1, 5, 4, 4, 5, 3, 5, 4, 1, 3, 5, 4, 2, 4, 3, 3, 2, 2, 4, 5, 3, 5, 5, 3, 3, 1, 2, 5, 5, 3, 3, 3, 5, 3, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 3, 1, 2, 5, 3, 2, 1, 2, 5, 3, 3, 5, 4, 3, 2, 3, 3, 3, 2, 5, 4, 4, 2, 5, 5, 2, 3, 4, 4, 2, 3, 1, 4, 4, 3, 1, 4, 5, 2, 3, 4, 4, 3, 5, 5, 3, 5, 5, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 5, 3, 1, 3, 4, 5, 5, 3, 5, 3, 3, 5, 1, 3, 5, 5, 3, 5, 5, 4, 4, 5, 1, 4, 3, 5, 3, 4, 3, 4, 5, 3, 5], "2660": [4, 4, 3, 4, 2, 4, 5, 5, 3, 4, 5, 4, 1, 5, 4, 2, 4, 4, 4, 3, 3, 3, 3, 5, 5, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 2, 1], "5957": [2, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 4, 1, 3, 3, 3, 3, 4, 4, 3, 5, 4, 3, 3, 4, 3, 5, 3, 4, 4, 2, 3, 3, 4, 5, 2, 3, 4, 4, 3, 1, 4, 3, 4, 3, 3, 3, 3, 1, 3, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 1, 1, 4, 5, 4, 3, 5, 4, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 4, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 5, 5, 5, 5, 5, 4, 3, 5, 3, 5, 5, 4, 4, 3, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 2, 4, 5, 4, 3, 4, 4, 3, 5, 2, 3, 1, 2, 4, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 1, 3, 2, 4, 4, 3, 5, 1, 4, 1, 5, 4, 3, 3, 4, 4, 4, 5, 3, 4, 1, 4, 2, 5, 3, 3, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 2, 4, 5, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 2, 5, 4, 3, 3], "5732": [5, 3, 4, 5, 2, 2, 4, 3, 5, 2, 2, 5, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 5, 3, 4, 4, 5, 5, 3, 4, 4, 3], "3764": [4, 4, 2, 4, 4, 5, 4, 3, 4, 5, 5, 4, 1, 5, 5, 3, 5, 3, 3, 5, 5, 5, 5], "5067": [4, 1, 5, 3, 5, 4, 3, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 4, 4, 5, 3, 4, 5, 4], "4829": [3, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 2, 3, 5, 2, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 3, 1, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 2, 4, 4, 3, 5, 4, 5, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 5, 4, 2, 2, 4, 5, 3, 4, 5, 4, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 2, 4, 5, 2, 4, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 4, 5, 4, 4, 2, 4, 4, 3, 2, 3, 3, 3, 5, 4, 4, 2, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3], "4750": [4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 3, 3, 5, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 5, 3, 2, 4, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5, 2, 5, 3, 2, 5, 5, 5, 3, 5, 4, 3, 3, 3, 5, 2, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 5, 4, 5, 5, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 5, 3, 3, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 3, 5, 5, 4, 5, 4, 4, 5, 1, 5, 4, 4, 4, 2, 3, 5, 2, 5, 5, 4, 3, 5, 5, 5, 3, 5, 4, 2, 3, 3, 4, 3, 2, 5, 3, 4, 3, 3, 4, 3, 4, 3, 4, 5, 4, 3, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5], "5189": [2, 5, 5, 5, 4, 4, 4, 4, 3, 2, 4, 2, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 4, 5, 2, 2, 5, 3, 3, 3, 3, 5, 2, 3, 4, 4, 3], "743": [5, 5, 5, 3, 3, 3, 4, 2, 4, 5, 5, 4, 4, 5, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 2, 4, 3, 4, 1, 3, 5, 5, 4, 4, 2, 4, 3, 5, 3, 4, 4, 3, 3, 4, 5, 3, 3, 3, 4, 2, 3, 3, 5, 3, 4, 3, 5, 2, 4, 4, 3, 3, 4, 2, 2, 3, 4, 4, 4, 3, 1, 4, 4, 4, 5, 3, 3, 5, 5, 4], "2531": [1, 4, 4, 5, 4, 5, 5, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3], "2256": [5, 4, 5, 5, 4, 4, 3, 5, 3, 5, 5, 3, 5, 3, 2, 4, 5, 3, 5, 4, 5, 5, 4, 3, 5, 4, 3, 4, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 2, 4, 3, 5, 3, 4, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 5, 3, 3], "5202": [3, 4, 2, 2, 4, 5, 5, 4, 2, 3, 4, 3, 4, 5, 5, 4, 3, 3, 5, 1, 1, 5, 5, 1, 1, 2, 2, 5, 1, 5], "785": [3, 3, 4, 2, 3, 5, 2, 1, 3, 2, 3, 2, 5, 4, 4, 4, 5, 4, 5, 2, 1, 1, 4, 4, 4, 1, 4, 1, 3, 3, 4, 4, 1, 4, 1, 2, 3, 4, 4, 5, 2, 4, 4, 5, 2, 1, 4, 5, 3, 1, 5, 4, 3, 5, 1, 5, 4, 4, 3, 5, 3, 2, 1, 1, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 1, 1, 3, 2, 1, 1, 3, 2, 4], "3283": [3, 5, 4, 5, 2, 5, 3, 4, 4, 3, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 2, 3, 5, 5, 4, 4, 5, 5, 4, 2, 5, 1, 4, 1, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 3, 4, 3, 3, 3, 1, 3, 4, 2, 5, 2, 3, 3, 2, 1, 4, 5, 2, 3, 4, 1, 4, 3, 4, 1, 5, 2, 4, 1, 3, 4, 3, 5, 2, 2, 2, 3, 4, 4, 2, 5, 4, 4, 5, 3, 3, 3, 5, 5, 3, 3, 5, 4, 3, 3, 4, 3, 5, 5, 5, 1, 2, 5, 4, 5, 4, 2, 3, 5, 4, 4, 3, 3, 4, 5, 3, 2, 3, 5, 5, 4, 5, 2, 4, 5, 1, 3, 2, 4, 4, 2, 2, 5, 5, 5, 4, 5, 5, 4, 1, 3, 5, 3, 4, 1, 5, 4, 2, 4, 2, 2, 1, 3, 2, 3, 4, 5, 3, 5, 2, 3, 4, 4, 3, 4, 4, 1, 3, 3, 5, 3, 4, 4, 3, 5, 4, 4, 3, 2, 5, 5, 2, 1, 5, 5, 5, 3, 5, 4, 3, 3, 5, 3, 1, 4, 5, 5, 5, 2, 3, 4, 4, 5, 3, 2, 5, 5, 4, 4, 4, 4, 4], "2242": [5, 5, 4, 5, 5, 4, 4, 5, 3, 5, 3, 4, 2, 2, 4, 4, 4, 4, 5, 2, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 5, 4, 3, 1, 1, 4, 1, 4, 4, 5, 4, 4, 5, 4, 3, 2, 4, 5, 4, 3, 5, 3, 4, 5, 3, 3, 3, 3, 4, 5, 4, 4, 3, 1, 4, 5, 3, 1, 5, 1, 4, 5, 1, 1, 2, 4, 3, 1, 5, 5, 5, 2, 4, 4, 4, 4, 2, 5, 4, 4, 3, 4, 4, 2, 3, 5, 4, 4, 4, 3, 4, 3, 4, 5, 2, 5, 4, 4, 4, 4, 4, 5, 4, 2, 5, 5, 5, 4, 4, 3, 2, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 2, 2, 4, 1, 4, 4, 5, 5, 5, 4, 5, 1, 3, 4, 1, 5, 4, 3, 4, 5, 1, 3, 3, 4, 4, 2, 5, 1, 4, 5, 3, 4, 3, 2, 3, 5, 2, 2, 3, 4, 2, 4, 3, 4, 3, 4, 4, 5, 4, 4, 2, 3, 3, 3, 5, 5, 4, 5, 4, 4, 2, 4, 4, 5, 2, 4, 5, 3, 4, 2, 1, 5, 5, 3, 5, 5, 2, 5, 5, 4, 5, 5, 5, 3, 4, 5, 3, 3, 3, 2, 2, 4, 4, 2, 1, 4, 4, 3, 5, 5, 4, 2, 3, 4, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 4, 5, 1, 2, 5, 5, 4, 2, 3, 4, 1, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4], "4580": [5, 5, 4, 4, 3, 5, 4, 5, 3, 3, 4, 5, 5, 3, 3, 1, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 2, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 2, 3, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 1, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 1, 5, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 3, 2, 4, 3, 4], "3256": [2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 5, 5, 5], "4740": [4, 5, 4, 4, 5, 4, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 4, 2, 3, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 5, 4, 5, 5, 4, 5, 3, 4, 4, 5, 4, 5], "552": [5, 4, 3, 3, 4, 3, 5, 4, 2, 5, 5, 4, 5, 3, 4, 3, 2, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 3, 5, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 4, 3, 5, 3, 3, 5, 4, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 4, 1, 3, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4], "79": [3, 5, 3, 3, 4, 3, 4, 3, 5, 4, 5, 3, 3, 5, 5, 4], "2270": [3, 4, 5, 3, 2, 5, 4, 4, 4, 4, 3, 4, 3, 5, 3, 3, 4, 4, 3, 2, 2, 5, 3, 3, 4, 4, 5, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 1, 4, 3, 5, 4, 2, 5, 1, 1, 1, 3, 3, 4, 4, 4, 4, 1, 4, 1, 1, 1, 3, 5, 3, 3, 4, 3, 5, 3, 3, 3, 4], "4274": [5, 4, 2, 4, 3, 5, 3, 1, 2, 5, 4, 2, 3, 3, 2, 4, 3, 3, 1, 2, 4, 4, 1, 3, 2, 1, 3, 3, 2, 3, 3, 3, 4, 1, 3, 2, 2, 3, 5, 2, 1, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 2, 2, 4, 2, 4, 4, 3, 2, 4, 2, 1, 2, 3, 2, 2, 4, 2, 2, 2, 3, 4, 2, 3, 3, 4, 3, 4, 3, 2, 4, 3, 3, 4, 1, 3, 3, 2, 4, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 5, 3, 2, 1, 2], "585": [4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 3, 2, 4, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 3, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 2, 3, 2, 2, 2, 4, 4, 4, 5, 4, 2, 3, 4, 5, 4, 4, 4, 3, 2, 4, 4, 5, 4, 4, 1, 3, 4, 4, 4, 4, 5, 2, 5, 2], "3268": [4, 5, 4, 4, 2, 4, 4, 3, 5, 4, 2, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 5, 4, 4, 3, 3, 4, 5, 4, 3, 5, 4, 5, 3, 3, 3, 5, 2, 3, 4, 4, 4], "6026": [3, 4, 4, 3, 3, 5, 5, 5, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 2, 4, 2, 3, 3, 2, 2, 4, 4, 2, 1, 3, 4, 3, 3, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 3, 3, 4, 5, 2, 3, 4, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 4, 4, 3, 5, 5, 1, 5], "3141": [5, 2, 3, 5, 3, 3, 5, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 5, 4, 2, 4, 4, 5, 5, 5, 1], "4970": [4, 5, 5, 1, 1, 5, 4, 1, 3, 5, 5, 3, 5, 4, 5, 5, 2, 3, 5, 4, 1, 5, 3, 5, 5, 4], "4881": [4, 4, 4, 4, 4, 3, 4, 4], "3357": [4, 4, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 5, 3, 5, 3, 4, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 5, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4], "2109": [3, 5, 2, 4, 2, 4, 1, 1, 4, 4, 2, 5, 3, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 5, 5, 2, 5, 2, 4, 5, 4, 5, 3, 3, 3, 4, 3, 3, 4, 3, 4, 1, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 5, 3, 2, 3, 2, 5, 4, 5, 4, 3, 3, 4, 4, 3, 4, 1, 5, 4, 5, 2, 3, 2, 5, 1, 2, 5, 2, 1, 4, 2, 4, 4, 3, 2, 5, 5, 5, 5, 2, 4, 4, 3, 3, 3, 3, 3, 3, 1, 3, 2, 2, 1, 2, 3, 5, 5, 2, 3, 3, 3, 1, 1, 4, 1, 4, 4, 3, 1, 3, 5, 5, 2, 5, 3, 2, 4, 4, 4, 2, 2, 3, 3, 2, 3, 2, 5, 3, 3, 2, 3, 3, 3, 2, 3, 2, 1, 3, 1, 3, 1, 3, 3, 3, 2, 3, 1, 3, 2, 4, 1, 1, 1, 3, 3, 4, 4, 2, 2, 4, 2, 3, 5, 4, 4, 3, 4, 2, 1, 4, 4, 4, 5, 1, 3, 3, 2, 3, 5, 4, 2, 3, 3, 4, 2, 2, 5, 3, 3, 2, 2, 3, 2, 2, 4, 2, 3, 2, 2, 2, 4, 4, 3, 2, 3, 3, 2, 5, 2, 3, 3, 3, 2, 3, 3, 2, 3, 5, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 4, 1, 3, 3, 4, 2, 4, 3, 3, 2, 3, 2, 1, 1, 4, 2, 2, 4, 1, 3, 3, 1, 3, 3, 2, 2, 4, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 4, 2, 3, 3, 2, 3, 2, 4, 3, 5, 5, 3, 3, 4, 2, 4, 5, 4, 2, 3, 5, 2, 3, 5, 3, 1, 5, 2, 5, 2, 3, 3, 5, 4, 1, 3, 1, 4, 1, 2, 2, 3, 4, 3, 2, 4, 3, 2, 3, 3, 1, 2, 4, 3, 3, 3, 4, 2, 5, 2, 2, 3, 3, 3, 4, 4, 5, 1, 5, 4, 2, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 2, 3, 4, 4, 2, 1, 2, 2, 3, 1, 2, 2, 1, 3, 3, 1, 3, 4, 1, 3, 2, 3, 4, 3, 3, 4, 2, 3, 2, 2, 4, 2, 2, 3, 3, 4, 4, 1, 3, 3, 2, 3, 2, 1, 1, 2, 2, 1, 2, 4, 4, 2, 2, 3, 4, 2, 4, 3, 2, 2, 2, 3, 3, 4, 4, 2, 2, 3, 2, 1, 5, 3, 2, 4, 1, 3, 4, 1, 2, 3, 1, 4, 4, 1, 1, 1, 3, 4, 3, 4, 2, 3, 5, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 4, 2, 2, 3, 1, 4, 1, 3, 2, 3, 3, 2, 2, 1, 3, 4, 4, 3, 1, 1, 4, 2, 3, 4, 3, 4, 3, 4, 2, 2, 3, 3, 1, 3, 3, 3, 3, 4, 3, 3, 1, 3, 2, 3, 3, 4, 2, 1, 4, 3, 3, 2, 2, 4, 4, 3, 3, 4, 3, 1, 4, 1, 3, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 1, 3, 5, 3, 1, 4, 2, 3, 3, 3, 2, 2, 1, 1, 4, 3, 3, 3, 4, 5, 4, 2, 2, 4, 2, 2, 3, 1, 3, 3, 1, 1, 3, 3, 5, 3, 5, 3, 3, 4, 3, 4, 2, 1, 3, 3, 5, 2, 1, 1, 3, 2, 4, 1, 3, 2, 3, 4, 5, 4, 4, 3, 4, 2, 1, 3, 5, 3, 4, 3, 4, 2, 3, 4, 2, 2, 3, 2, 2, 5, 3, 4, 3, 1, 4, 2, 3], "2300": [4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 4, 5, 4, 5, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 2, 5, 3, 4, 3, 3, 3, 4, 4, 3, 4, 4], "3323": [4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 1, 4, 5, 3, 4, 2, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 2, 5, 5, 3, 5, 5, 4, 4, 5, 4, 3, 3, 2, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 3, 5, 4, 3, 5], "2943": [4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 5, 4, 5, 5, 4, 5, 3, 5, 3, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 4, 4, 5, 5, 3, 5, 5, 5, 5], "3036": [4, 4, 3, 5, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5], "5994": [5, 4, 5, 3, 5, 4, 4, 5, 5, 3, 5, 4, 3, 5, 5, 5, 3, 4, 5, 5, 1, 4, 3, 5, 4, 4, 5, 3, 5, 5, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 3], "3753": [2, 3, 5, 5, 3, 3, 5, 4, 5, 4, 2, 3, 3, 3, 5, 2, 3, 3, 5, 3, 4, 5, 5, 2, 5, 5, 5, 4, 4, 5, 1, 5, 2, 3, 3, 4, 5, 5, 2, 5], "4092": [4, 2, 5, 4, 4, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 3, 4, 3, 5, 5, 2, 5, 5, 5, 4, 4, 4, 2, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 3, 4, 5, 2, 4, 5, 3, 5, 4], "3948": [3, 4, 4, 3, 3, 5, 5, 3, 5, 4, 4, 5, 5, 4, 3, 2, 3, 5, 2, 3, 5, 2, 2, 5, 5, 4, 5, 4, 4, 3, 3, 3, 5, 1, 1, 2, 3, 2, 5, 3, 3, 3, 3, 3, 2, 1, 3, 5, 3, 3, 2, 3, 4, 2, 3, 3, 4, 2, 5, 2, 2, 2, 2, 2, 3, 4, 3, 3, 2, 4, 5, 5, 2, 5, 3, 5, 3, 4, 4, 3, 3, 4, 5, 5, 2, 5, 3, 5, 5, 5, 4, 3, 3, 3, 1, 2, 2], "2513": [3, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 2, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 3, 5, 3, 5, 4, 2, 5, 3, 5, 4, 4, 3, 5, 1, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 4], "3822": [3, 4, 2, 3, 3, 4, 3, 3, 4, 3, 4, 3, 4, 2, 3, 3, 5, 4, 4, 3, 4, 3, 3, 1, 5, 4, 5, 3, 2, 4, 3, 3, 2, 3, 4, 3, 3, 4, 4, 4, 4, 1, 4, 3, 5, 2, 3, 3, 4, 4, 4, 5, 4, 3, 4, 4, 3, 3, 5, 3, 4, 4, 5, 3, 4, 5, 4, 3, 2, 2, 5, 1, 2, 3, 3, 2, 4, 2, 3, 4, 3, 5, 3, 4, 4, 3, 3, 5, 5, 3, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 5, 3, 2, 4, 3, 3, 4, 5, 2, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 3, 5, 4, 4], "4755": [5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5], "3355": [4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 3, 3], "4862": [3, 4, 4, 3, 3, 3, 4, 4, 2, 3, 3, 5, 4, 3, 5, 5, 5, 3, 5, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 3, 2, 5, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 4, 3, 3, 4, 2, 3, 5, 3, 3, 3], "5171": [3, 2, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3], "1095": [5, 4, 5, 1, 4, 3, 4, 2, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 4, 5, 1], "5200": [4, 5, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 4, 1, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 5, 3, 3, 4, 4, 5, 4, 5, 4, 4, 3, 2, 3, 5, 5, 4, 3, 3], "5791": [5, 4, 4, 4, 4, 3, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 4, 3, 5, 2, 4, 3, 5, 1, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 3, 4, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 2], "4753": [1, 1, 1, 2, 4, 2, 5, 2, 4, 5, 3, 4, 2, 4, 5, 5, 3, 5, 4, 3, 4, 4, 3, 2, 5, 4, 4, 4, 5, 2, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 4, 4, 3], "5108": [1, 1, 1, 1, 2, 3, 1, 3, 4, 3, 2, 4, 3, 3, 3, 2, 4, 5, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 1, 4, 4, 3, 5, 4, 3, 3, 3, 4, 3, 5, 2, 3, 5, 5, 3, 3, 3, 3, 2, 4, 3, 1, 4, 5, 4, 4, 3, 4, 5, 2, 3, 2, 4, 3, 3, 4, 4, 3, 3, 5, 5, 2, 4, 3, 4, 5, 5, 4, 5, 3, 1, 5, 3, 5, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 2, 4, 5, 2, 3, 2, 5, 2, 3, 3, 3, 2, 3, 3, 2, 4, 4, 3, 3, 4, 4, 3, 4, 4, 5, 3, 3, 5, 4, 3, 3, 5, 4, 3, 2, 2, 3, 2, 5, 2, 3, 5, 2, 3, 4, 2, 5, 4, 5, 3, 3, 3, 2, 4, 2, 5, 3, 3, 4, 2, 2, 3, 4, 4, 4, 4, 5, 3, 3, 5, 4, 3, 5, 4, 4, 3, 1, 3, 4, 3, 4, 3, 3, 5, 3, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 3, 3, 1, 1, 2, 3, 4, 5, 4, 5, 3, 3, 5, 3, 5, 2, 4, 3, 1, 2, 2, 5, 3, 4, 4, 2, 4, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 2, 4, 2, 5, 5, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 5, 3, 5, 3, 3, 1, 2, 4, 4, 1, 1, 3, 5, 5, 3, 3, 4, 4, 4, 1, 3, 4, 4, 4, 4, 5, 3, 2, 5, 4, 3, 3, 4, 3, 2, 2, 3, 5, 2, 3, 5, 4, 4, 3, 2, 3, 5, 4, 3, 3, 3, 3, 4, 5, 5, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 4], "3140": [4, 2, 4, 5, 4, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 4, 4, 4, 3, 4, 2, 5, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 2, 2, 5, 4, 5, 4, 4, 4, 4, 5, 3, 2, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 1, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 1, 4, 5, 3, 3, 5, 4, 4, 5, 3, 3, 3, 4, 2, 4, 3, 4, 1, 5, 5, 3, 4, 3, 3, 2, 2, 2, 2, 4, 5, 4, 3, 5, 5, 4, 4, 3, 4, 5, 4, 5, 4, 2, 4, 4, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 2, 3, 5, 3, 5, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 2, 5, 4, 4, 5, 5, 2, 5, 3, 5, 3, 4, 3, 4, 1, 5, 1, 1, 4, 4, 5, 5, 2, 2, 3, 4, 3, 5, 3, 4, 4, 1, 4, 4, 3, 4, 5, 5, 3, 3, 4, 4, 5, 4, 3, 4, 5, 4, 5, 4, 4, 5, 4, 3, 3], "5578": [4, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 4, 5, 4, 5, 5, 2, 4, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 5, 4, 5, 2, 3, 4, 3, 5, 3, 5, 3, 4, 4, 5], "4259": [4, 3, 3, 4, 2, 2, 2], "606": [5, 5, 4, 4, 3, 5, 5, 4, 5, 2, 3, 3, 4, 5, 3, 5, 2, 2, 5, 4, 5, 5, 5, 5, 5, 2], "4505": [4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 2, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 5], "2548": [3, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4], "2946": [2, 3, 3, 3, 5, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 4, 2, 3, 3, 2, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 2, 2, 5, 3, 4, 3, 4, 3, 4, 2, 3, 1, 2, 3, 3, 3, 2, 3, 3, 1, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 3, 1, 1, 3, 3, 4, 4, 2, 2, 2, 3, 2, 3, 3, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 1, 2, 4, 4, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 4, 2, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 4, 2, 3, 1, 5, 3, 5, 2, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 5, 2, 1, 5, 2, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 4, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 1, 2, 4, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 3, 2, 2, 3, 3, 4, 2, 2, 3, 4, 4, 3, 3, 4, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 2, 4, 1, 1, 3, 3, 2, 4, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 2, 1, 3, 5, 3, 2, 3, 1, 5, 4, 3, 4, 3, 3, 3, 5, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 2, 3, 2, 3, 3, 2, 4, 3, 4, 2, 2, 2, 1, 3, 2, 3, 4, 2, 3, 2, 4, 5, 3, 3, 2, 1, 2, 4, 4, 3, 1], "3084": [4, 3, 3, 3, 5, 5, 4, 5, 5, 3, 3, 3, 4], "4935": [4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 4, 3, 3, 4, 4], "1264": [4, 4, 4, 3, 5, 2, 2, 3, 4, 4, 4, 5, 3, 5, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 4, 5, 5, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 3, 3, 5, 3, 3, 5, 4, 4, 3, 3, 4, 3, 5, 5, 3, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 2, 5, 3, 4, 3, 4, 2, 3, 4, 2, 4, 5, 2, 3, 4, 3, 3, 3, 4, 3, 2, 4, 4, 5, 5, 3, 4, 3, 4, 3, 3, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 4, 4, 5, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 2, 4, 3, 4, 2, 5, 4, 5, 4, 2, 4, 2, 4, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 5, 4, 2, 5, 3, 2, 4, 2, 4, 4, 4, 2, 2, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 5, 4, 5, 1, 3, 2, 4, 4, 4, 3, 3, 3, 3, 5, 4, 5, 3, 5, 5, 2, 3, 4, 3, 3, 5, 4, 4, 4, 4, 2, 3, 3, 4, 2, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 4, 2, 4, 3, 3, 3, 3, 2, 2, 4, 5, 4, 2, 5, 4, 4, 3, 3, 4, 3, 3, 3, 5, 3, 5, 4, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 1, 2, 3, 4, 4, 3, 2, 3, 3, 4, 3, 2, 4, 3, 4, 3, 5, 3, 5, 3, 3, 3, 3, 4, 5, 5, 5, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 3, 4, 2, 3, 3, 3, 5, 4, 3, 3, 3, 2, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 4, 3, 5, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 2, 4, 3, 4, 2, 3, 3, 5, 4, 4, 3, 5, 4, 5, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 3, 4, 3, 4, 2, 4, 4, 2, 4, 3, 3, 2, 3, 5, 3, 4, 3, 5, 5, 3, 4, 4, 4, 5, 4, 5, 3, 2, 1, 3, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 3, 2, 5, 2, 4, 3, 2, 4, 4, 4, 4, 3, 4, 5, 3, 5, 3, 1, 3, 5, 3, 4, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 3, 2, 4, 5, 4, 4, 4, 5, 3, 2, 5, 4, 3, 5, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4, 5, 3, 3, 4, 5, 5, 4, 5, 4, 4, 1, 4, 4, 3, 4, 5, 4, 4, 4, 4, 2, 5, 4], "3638": [5, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 3, 2, 4, 5, 3, 4, 3, 5, 5, 2, 4, 5, 4, 4, 5, 5, 4, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 4, 2, 5, 3, 4, 2, 3, 4, 3, 3, 4, 4, 5, 2, 4, 4], "5776": [3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 2, 3, 2, 2, 4, 4, 3, 4, 4, 1, 4, 4, 4, 4, 1, 4, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 1, 4, 5, 3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3], "5608": [4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 5, 3, 3], "3590": [4, 5, 5, 4, 5, 2, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 3, 1, 5, 5, 4, 4, 4, 3, 5, 3, 4, 5, 5, 5, 3, 4, 5, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 2, 5, 3, 4, 4, 5, 3, 4, 4, 5, 4, 2, 5, 4, 3, 5, 1, 5, 5, 3, 3, 4, 4, 3, 3, 5, 3, 5, 3, 2, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 3, 4, 4, 3, 5, 4, 5, 5, 2, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 3, 3, 3, 5, 3, 4, 5, 4, 2, 5, 4, 5, 1, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 1, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 5, 4, 4, 3, 5, 5, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 3, 5, 3, 5, 4, 1, 5, 4, 5, 4, 5, 2, 5, 4, 4, 4, 3, 5, 1, 4, 5, 3, 5, 4, 4, 1, 5, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5], "3025": [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 5, 3, 5, 2, 5, 4, 3, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 2, 4, 2, 5, 3, 5, 2, 5, 5, 3, 4, 5, 5, 3, 2, 5, 3, 4, 2, 5, 3, 5, 3, 5, 2, 5, 4, 5, 3, 5, 3, 2, 5, 5, 4, 4, 4, 4, 5, 5, 1, 5, 4, 3, 5, 2, 4, 5, 5, 4, 2, 4, 4, 5, 4, 5, 3, 3, 5, 5, 3, 3, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 3, 3, 4, 3], "4658": [1, 1, 3, 3, 5, 2, 1, 4, 4, 4, 4, 4, 3, 2, 3, 1, 1, 1, 2, 5, 4, 2, 3, 2, 3, 2, 1, 3, 2, 1, 2, 2, 3, 2, 5, 2, 2, 2, 3, 5, 5, 3, 3, 1, 3, 1, 1, 4, 2, 1, 3, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 1, 1, 2, 5, 4, 1, 2, 3, 5, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 2, 4, 2, 1, 4, 4, 2, 1, 1, 4, 1, 5, 3, 3, 3, 1, 1, 5, 1, 4, 2, 1, 2, 4, 5, 2, 4, 2, 1, 1, 4, 3, 1, 5, 5, 2, 1, 2, 3, 3, 2, 1, 2, 4, 3, 2, 2, 4, 4, 1, 5, 5, 3, 3, 2, 2, 2, 1, 3, 1, 4, 4, 3, 3, 1, 1, 1, 3, 3, 2, 4, 2, 2, 2, 1, 1, 3, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 3, 4, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 3, 2, 2, 2, 3, 2, 3, 1, 4, 3, 4, 3, 1, 2, 5, 1, 4, 2, 3, 1, 1, 2, 5, 2, 1, 5, 1, 3, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 4, 1, 1, 2, 3, 2, 4, 3, 1, 2, 1, 4, 1, 1, 3, 1, 3, 5, 1, 2, 3, 1, 5, 5, 2, 1, 2, 1, 3, 1, 4, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 1, 4, 2, 1, 1, 1, 5, 2, 5, 1, 4, 3, 5, 1, 1, 4, 2, 3, 5, 4, 4, 2, 2, 4, 1, 3, 1, 1, 1, 4, 4, 2, 1, 3, 1, 4, 4, 1, 2, 2, 4, 1, 3, 1, 1, 2, 3, 2, 2, 3, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 5, 2, 1, 1, 1, 1, 1, 4, 1, 1, 3, 4, 5, 4, 2, 2, 3, 2, 3, 3, 2, 1, 1, 3, 4, 2, 3, 1, 3, 1, 3, 4, 2, 1, 2, 4, 1, 5, 1, 3, 1, 1, 2, 1, 5, 1, 3, 1, 2, 1, 1, 4, 2, 1, 3, 3, 2, 1, 1, 1, 3, 4, 1, 1, 5, 3, 1, 1, 1, 2, 2, 3, 5, 1, 1, 5, 2, 1, 1, 1, 1, 1, 4, 5, 4, 1, 1, 4, 1, 2, 1, 1, 4, 3, 2, 2, 2, 1, 1, 3, 2, 2, 3, 2, 1, 5, 1, 1, 2, 3, 3, 3, 4, 1, 1, 1, 3, 3, 2, 4, 1, 1, 3, 3, 4, 1, 3, 1, 1, 1, 2, 2, 1, 1, 3, 3, 3, 3, 2, 2, 1, 3, 2, 5, 1, 2, 3, 3, 2, 5, 1, 1, 1, 3, 3, 2, 2, 1, 1, 2, 2, 2, 4, 3, 2], "1683": [4, 2, 4, 5, 5, 3, 4, 4, 1, 2, 5, 3, 5, 2, 4, 5, 4, 5, 4, 5, 4, 2, 4, 4, 5, 4, 3, 5, 3, 5, 5, 3, 2, 3, 4, 5, 5, 1, 1, 5, 5, 5, 1, 4, 4, 4, 5, 4, 2, 1, 5, 2, 3, 3, 2, 3, 4, 4, 2, 5, 3, 3, 4, 5, 3, 1, 5, 1, 4, 5, 5, 3, 2, 1, 2, 4, 4, 3, 2, 4, 2, 5, 4, 5, 1, 1, 4, 3, 4, 4, 2, 5, 5, 5, 2, 5, 3, 2, 5, 4, 3, 5, 1, 5, 4, 5, 4, 5, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 1, 4, 4, 3, 5, 1, 4, 4, 4, 5, 1, 4, 1, 1, 5, 4, 1, 1, 1, 1, 1, 1, 4, 2, 3, 1, 4, 5, 5, 1, 3, 4, 5, 3, 4, 2, 4, 5, 3, 4, 5, 5, 5, 1, 5, 5, 5], "3687": [4, 4, 2, 2, 5, 3, 3, 5, 4, 4, 4, 3, 2, 3, 4, 5, 1, 4, 3, 3, 5, 5, 5, 4, 4, 3, 4, 4, 3, 4, 3, 3, 2, 2, 1, 2, 3, 1, 1, 4, 1, 3, 1, 3, 4, 5, 5, 5, 2, 5, 4, 5, 5, 5, 5, 1, 1, 4, 4, 4, 2, 3, 3, 2, 4, 1, 3, 3, 1, 1, 1, 3, 5, 1, 2, 4, 2, 4, 1, 4, 1, 4, 1, 1, 2, 5, 4, 2, 3, 1, 5, 5, 5, 3, 4, 1, 1, 3, 2, 1, 1, 3, 1, 2, 5, 5, 4, 5, 5, 4, 5, 5, 5, 2, 5, 5, 4, 1, 5, 2, 4, 5, 2, 5, 3, 4, 5, 5, 2, 3, 4, 5, 2, 2, 5, 2, 4, 5, 4, 2, 2, 3, 5, 5], "1952": [2, 4, 3, 2, 4, 5, 3, 3, 2, 5, 5, 3, 5, 4, 2, 3, 3, 4, 4, 1, 3, 3, 2, 5, 4, 5, 3, 5, 5, 5, 3, 2, 4, 5, 3, 5, 4, 3, 5, 5, 5, 4, 5, 2, 4, 2, 4, 2, 3, 5, 5, 3, 3, 3, 2, 3, 2, 2, 4, 2, 5, 5, 4, 4, 4, 2, 4, 5, 3, 5, 3, 4, 3, 3, 3, 3, 3, 3, 1, 3, 2, 5, 3, 5, 3, 4, 5, 3, 2, 4, 5, 4, 4, 4, 1, 5, 4, 3, 3, 5, 5, 4, 3, 5, 3, 3, 4, 5, 1, 4, 4, 5, 5, 5, 2, 3, 3, 4, 3, 5, 5, 4, 2, 4, 5, 3, 4, 4, 3, 4, 3, 4, 2, 4, 4, 4, 5, 5, 4, 4, 2, 4, 5, 2, 3, 5, 3, 3, 3, 4, 2, 4, 1, 5, 5, 2, 4, 5, 4, 5, 4, 3, 5, 2, 2, 4, 3, 3, 4, 3], "4628": [3, 4, 4, 3, 3, 4, 5, 3], "5918": [5, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 3, 5, 5, 3, 3, 3, 5, 4], "1628": [5, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 3, 5, 5, 3, 4, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 2, 4, 4, 5, 3, 4, 4, 3, 3, 5, 5, 5, 4, 5, 2, 4, 3, 3, 3, 4, 4, 5, 2, 2, 1, 4, 4, 5, 2, 4, 2, 4, 5, 4, 4, 5, 4, 5, 3, 5, 4, 2, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 2, 4, 3, 2, 5, 3, 4, 4, 2, 5, 3, 4, 3, 1, 4, 3, 5, 4, 3, 4, 1, 4, 3, 5, 4, 5, 5, 4, 1, 4, 4, 5, 2, 4, 2, 4, 4, 3, 4, 5, 3, 5, 1, 2, 5, 5, 3, 4, 4, 2, 2, 5, 5, 3, 4, 5, 5, 4, 2, 4, 2, 5, 3, 4, 1, 1, 4, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 5, 3, 2, 5, 3, 5, 3, 4, 5, 3, 3, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 4, 3, 5, 2, 4, 4, 4, 3, 3, 4, 5, 3, 5, 5, 4, 4, 5, 5, 3, 1, 4, 1, 3, 3, 4, 5, 4, 4, 5, 1, 4, 3, 3, 5, 3, 3, 5, 4, 2, 4, 2, 3, 2, 3, 5, 5, 5, 4, 2, 4, 4, 1, 5, 4, 2, 4, 5, 3, 5, 1, 5, 4, 4, 2, 5, 4, 3, 4, 3, 1, 5, 4, 4, 2, 4, 3, 5, 4, 4, 4, 5, 5, 2, 4, 3, 3, 5, 4, 5, 4, 3, 4, 5, 5, 2, 2, 4, 5, 2, 3, 3, 5, 3, 4, 5, 3, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 4, 2, 4, 5, 4, 2, 5, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 5, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 2, 5, 5, 5, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4], "4017": [1, 2, 4, 4, 4, 4, 4], "804": [2, 1, 4, 3, 3, 5, 1, 4, 5, 5, 3, 4, 4, 2, 1, 3, 1, 4, 1, 5, 2, 3, 4, 1, 2, 4, 2, 4, 5, 1, 4, 5, 5], "3236": [3, 2, 4, 3, 1, 3, 3, 3, 3, 2, 3, 2, 4, 5, 3, 3, 4, 4, 2], "3733": [5, 3, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 1, 4, 5, 4, 5, 3, 3, 4, 5, 4, 3, 5, 4, 5, 4, 3, 4, 3, 4, 3, 2, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 3, 3, 3, 5], "146": [4, 5, 5, 3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 2, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 5, 4, 4, 5, 4, 3, 5, 5, 3, 4, 4, 2, 4, 2, 2, 3, 3, 1, 4, 4, 4, 4, 5, 5, 5, 4, 4, 2, 5, 3, 3, 4, 5, 4, 4, 4, 5, 2, 3, 3, 4, 4, 2, 5, 3, 4, 5, 4, 4, 1, 4, 3, 2, 1, 5, 4, 5, 5, 3, 2, 5, 5, 5, 2, 1, 5, 5, 5, 2, 3, 2, 3, 4, 3, 5, 4, 5, 2, 5, 4, 1, 4, 3, 4, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 1, 3, 3, 3, 5, 4, 4, 3, 4, 1, 4, 3, 5, 4, 1, 3, 5, 2, 3, 4, 5, 4, 5, 4, 5, 5, 4, 4, 1, 4, 1, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 2, 4, 4, 3, 4, 4, 4, 4, 3, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 2, 4, 5, 2, 5, 4, 5, 2, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 3, 5, 3, 3, 3, 5, 4, 3, 5, 1, 4, 5, 5, 3, 3, 4, 4, 4, 5, 3, 4, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 3, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 2, 3, 2, 4, 4, 4, 2, 2, 5, 4, 1, 4, 2, 4, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4, 2, 5, 4, 5, 5, 5, 5, 3, 4, 4, 2, 4, 5, 5, 4, 3, 4, 3, 1, 5, 5, 4, 5, 4, 1, 3, 2, 4, 4, 3, 5, 5, 5, 3, 4, 4, 1, 4, 5, 4, 4, 4, 5, 4, 1, 1, 3, 2, 5, 3, 5, 5, 3, 3, 4, 2, 4, 5, 4, 2, 4, 4, 2, 4, 3, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 3, 4, 5, 5, 3, 3, 4, 3, 5, 5, 3, 5, 5, 4, 5], "1140": [3, 4, 5, 2, 3, 4, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 5, 3, 3, 3, 3, 3, 4, 4, 1, 3, 5, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 3, 3, 3, 4, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 3, 4, 4, 2, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 5, 3, 5, 5, 2, 4, 5, 3, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 3, 2, 2, 3, 4, 4, 4, 2, 4, 5, 5, 3, 4, 3, 3, 5, 3, 3, 3, 5, 4, 5, 3, 3, 4, 3, 5, 4, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 4, 5, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 1, 5, 4, 5, 2, 3, 3, 2, 1, 3, 5, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 2, 2, 5, 5, 2, 3, 5, 5, 5, 3, 1, 3, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 4, 5, 4, 4, 2, 3, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 4, 3, 4, 5, 3, 5, 4, 3, 2, 5, 5, 3, 2, 4, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 3, 5, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 5, 2, 3, 3, 5, 5, 3, 4, 1, 5, 4, 4, 4, 3, 3, 4, 5, 3, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 5, 4, 5, 4, 5, 3, 4, 1, 4, 5, 4, 3, 2, 3, 5, 2, 3], "513": [4, 4, 3, 3, 3, 4, 4, 4, 1, 1, 1, 4, 3, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2, 1, 4, 2, 3, 1, 3, 4, 4, 3, 3, 1, 1, 1, 1, 4, 4, 4, 3, 4, 3, 3, 4, 4, 1, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 2, 4, 2, 3, 3, 4, 4, 4, 2, 4, 2, 3, 4, 4, 4, 3, 3, 2, 4, 4, 2, 2, 3, 3, 4, 2, 2, 3, 3, 4, 4, 4, 2, 4, 3, 3, 2, 4, 4, 3, 2, 3, 4, 3, 2, 3, 4, 4, 1, 3, 4, 3, 4, 1, 4, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 2, 4, 1, 4, 5, 4, 1, 1, 4, 2, 4, 3, 4], "3741": [3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 2, 1, 3, 3, 3, 4, 3, 4, 4, 2, 4, 3, 2, 4, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 3, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 2, 3, 2, 4, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 2, 4, 3, 4, 5, 4, 4, 4, 2, 4, 3, 5, 3], "4620": [4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 5, 3, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 3, 3, 4, 3, 4, 5, 3, 4, 5, 5, 4, 4, 4, 1, 5, 4, 4, 3, 4, 4, 2, 4, 5, 4, 2, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 1, 4, 5, 5, 5, 4], "3857": [5, 5, 5, 4, 3, 5, 5, 3, 3, 3, 5, 4, 3, 3, 5, 5, 3, 2, 3, 5, 5, 3, 5, 2, 5, 4, 5, 4, 5, 3, 4, 5, 2, 5, 5, 4, 4, 5, 4, 5, 2, 5, 5], "4475": [5, 5, 2, 5, 3, 5, 4, 3, 5, 4, 4, 5, 2, 4, 5, 3, 4, 4, 2, 5, 5, 3, 3, 4, 5, 5, 3, 5, 5, 4, 3, 5, 3, 3, 3, 3, 3], "1738": [5, 3, 3, 4, 5, 5, 4, 3, 4, 5, 4, 3, 4, 2, 4, 4, 3, 5, 5, 4, 5, 3, 3, 3, 4, 4, 4, 3], "1938": [3, 3, 3, 3, 4, 3, 2, 4, 5, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 3, 2, 4, 4, 4, 3, 3, 3, 4, 4, 3, 4, 1, 2, 2, 5, 3, 2, 3, 2, 4, 2, 3, 5, 3, 3, 3, 3, 3, 3, 4, 4, 1, 1, 4, 3, 4, 3, 2, 2, 3, 4, 2, 1, 3, 2, 2, 3, 2, 3, 3, 3, 5, 5, 3, 2, 2, 5, 3, 2, 2, 4, 2, 2, 2, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 5, 3, 3, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 3, 2, 3, 4, 3, 4, 2, 1, 3, 4, 3, 3, 3, 2, 4, 4, 4, 3, 2, 2, 3, 5, 2, 3, 3, 3, 4, 4, 2, 4, 4, 4, 5], "5699": [2, 3, 4, 4, 5, 2, 2, 3, 1, 2, 1, 3, 4, 3, 2, 4, 3, 5, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 1, 4, 1, 4, 3, 4, 5, 2, 3, 2, 4, 3, 3, 1, 4, 5, 4, 5, 1, 3, 2, 3, 2, 1, 3, 4, 1, 4, 3, 5, 5, 5, 2, 3, 3, 1, 2, 2, 3, 4, 3, 3, 4, 1, 2, 4, 2, 3, 1, 1, 4, 4, 4, 3, 2, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 3, 3, 5, 4, 2, 3, 3, 1, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 5, 1, 5, 5, 4, 3, 5, 4, 5, 4, 1, 5, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 3, 3, 4, 4, 5, 4, 5, 4, 5, 3, 4, 3, 3, 4, 4, 2, 3, 3, 5, 3, 4, 4, 3, 2, 4, 3, 4, 5, 3, 3, 2, 3, 3, 1, 1, 4, 3, 4, 1, 4, 4, 2, 1, 3, 2, 4, 3, 5, 2, 3, 3, 3, 3, 5, 3, 1, 2, 2, 3, 1, 1, 1, 4, 2, 3, 5, 2, 5, 4, 3, 4, 1, 3, 3, 1, 2, 3, 4, 1, 4, 3, 2, 4, 3, 4, 3, 5, 1, 3, 4, 3, 3, 2, 3, 3, 1, 4, 2, 3, 5, 2, 3, 3, 3, 4, 3, 1, 2, 2, 2, 5, 3, 5, 2], "5539": [4, 3, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 5, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 5, 4, 4, 5, 3, 5, 4, 4, 5, 4, 4, 3, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 2, 4, 4, 5, 5, 4, 3, 4, 3, 4, 4, 2, 4, 3, 5, 3, 4, 4, 3, 5, 4, 1, 3, 3, 3, 3, 2, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 4, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 5, 3, 5, 4, 2, 4, 4, 2, 3, 4, 3, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 3, 3, 3, 5, 3, 4, 4, 3, 2, 4, 5, 4, 4, 2, 4, 4, 1, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 4, 5, 4, 5, 4, 2, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 3, 4, 3, 3, 4, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 5, 4, 3, 3, 2, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 1, 4, 4, 4, 3, 4, 3, 5, 4, 4, 3, 4, 3, 4, 2, 4, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 1, 3, 4, 4, 3], "741": [5, 5, 4, 1, 5, 2, 1, 5, 3, 2, 3, 4, 2, 1, 1, 2, 4, 3, 4, 4, 4, 4, 5, 1, 3, 5, 1, 3, 3, 4, 5, 5, 3, 3, 5, 2, 5, 1, 5, 2, 3, 3, 4, 5, 3, 5, 5, 3, 3, 1, 4, 5, 5, 3, 4, 4, 4, 5, 4, 2], "142": [3, 4, 2, 3, 4, 5, 3, 4, 3, 2, 3, 3, 3, 4, 5, 2, 5, 4, 2, 4, 5, 5, 4, 3, 4, 3, 1, 4, 3, 4], "2137": [4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 3, 3, 1, 4, 4, 5], "1735": [4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 2, 2, 4, 3, 3, 2, 3, 3, 5, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 4, 4, 3, 3, 2], "5628": [4, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 2, 1], "1428": [5, 4, 4, 5, 4, 5, 5, 3, 4, 5, 2, 5, 3, 5, 4, 5, 5, 2, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 1, 4, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5], "5199": [2, 5, 1, 4, 4, 4, 5, 4, 2, 4, 3, 3, 1, 1, 4, 5, 4, 4, 5, 3, 5, 5, 4, 3, 5, 3], "2470": [4, 4, 4, 2, 3, 2, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4], "4465": [3, 5, 4, 4, 4, 5, 4, 2, 4, 3, 5, 4, 4, 5, 5, 4, 1, 1, 1, 5, 5, 4, 3, 1, 3, 5, 2, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 2, 4, 5, 3, 4, 2, 4, 5, 5, 3, 5, 4, 2, 4, 3, 5], "2066": [3, 2, 5, 3, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 2, 5, 4], "377": [3, 4, 3, 4, 5, 2, 4, 3, 5, 4, 4, 3, 4, 3, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 3, 5, 2, 3, 4, 3, 3, 3, 2, 4, 5, 3, 5, 4, 5, 3, 5, 3, 4, 3, 4, 4, 3, 5, 2, 4, 3, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 2, 4, 4, 4, 5, 3, 5, 3, 3], "1323": [4, 4, 5, 4, 3, 1, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 2, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 2, 5, 2, 3, 4, 5, 5, 4, 5, 5, 4, 3, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 3, 2, 5, 2, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 3, 5, 1, 4, 5, 2, 4, 4, 4, 3, 3, 4, 2, 3, 2, 3, 5, 3, 2, 2, 5, 5, 5, 4, 3, 5, 2, 3, 4, 4, 4, 3, 4, 3, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 4, 4, 2, 2, 2, 5, 5, 4, 3, 5, 4, 3, 4, 3, 3, 5, 3, 4, 4, 4, 4, 5], "3581": [1, 2, 3, 5, 3, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 1, 4, 3, 2, 3, 3, 5, 4, 3], "5624": [4, 4, 1, 4, 3, 5, 5, 4, 4, 1, 2, 5, 5, 4, 5, 1, 3, 3, 4, 3, 1, 4, 1, 2, 4, 3, 2, 3, 1, 4, 3, 4, 5, 4, 5, 3, 3, 2, 4, 4, 4, 3, 5, 3, 5, 5, 4, 4, 4, 2, 1, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 5, 1, 4, 4, 1, 3, 4, 3, 3, 4, 4, 1, 1, 5, 3, 5, 4, 4, 2, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4], "5160": [4, 5, 4, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 4, 3, 5, 5, 3, 3, 3, 3, 5, 4], "4239": [4, 4, 5, 4, 3, 5, 4, 3, 5, 3, 5, 4, 4, 2, 5, 5, 5, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 2, 4, 5, 5], "393": [3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 2, 5, 4, 4, 4, 4, 5, 3, 4, 3, 1, 4, 3, 4, 4, 4, 1, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 3, 3, 3, 5, 4, 1, 4, 3, 3, 3, 3, 3, 4, 4, 2, 4, 5, 2, 4, 5, 5], "74": [5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 5, 3, 4, 3, 5, 5, 5, 4, 4, 4, 1, 4, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3], "1030": [4, 3, 4, 4, 3, 4, 5, 5, 5, 4, 4, 2, 3, 3, 3, 3, 4, 3, 1, 3, 3, 4, 3, 3, 4, 4, 3, 1, 1, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 4, 2, 4, 5, 3, 4, 2, 4, 3, 4, 5, 3, 2, 4, 5, 3, 3, 4, 2, 5, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 4, 1, 4, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 4, 3, 4, 1, 4, 4, 3, 4, 5, 2, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 1, 3, 4, 1, 5, 3, 4, 4, 5, 3, 5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 1, 5, 4, 3, 3], "376": [5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4], "4207": [5, 3, 3, 5, 5, 5, 5, 4, 3, 2, 5, 3, 5, 5, 5, 5, 3, 5, 2, 3, 5, 5, 3, 4, 3, 2, 5, 5, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 3, 5, 5, 4, 4, 3, 5, 4, 5, 4, 2, 5, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 5, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 5, 2, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 3, 4, 5, 4, 5, 4, 3, 2, 5, 5, 3, 3, 4, 5, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 2, 5, 4, 4, 2, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 3], "426": [5, 5, 5, 3, 5, 5, 4, 5, 3, 3, 4, 1, 5, 5, 5, 5, 4, 4, 5, 5, 2, 4, 4, 3, 1, 2, 4, 4, 2, 4, 3, 4, 2, 3, 4, 5, 3, 4, 3, 5, 5, 4, 3, 3, 5, 4, 4, 1, 1, 4, 4, 5, 5, 5, 4, 5, 4, 2, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 5, 5, 4, 2, 4, 3, 5, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 1, 5, 4, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 3, 5, 3, 4, 5, 2, 3, 5, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5], "2519": [2, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 1, 1, 4, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 1, 4, 4, 4, 5], "3360": [4, 3, 3, 5, 3, 3, 2, 3, 5, 4, 5, 4, 4, 4, 3, 4, 4, 3, 2, 4, 4, 2, 2, 3, 5, 2, 2, 5, 4, 3, 3, 3, 3, 4, 2, 4, 4, 4, 5, 1, 3, 4, 5, 2, 4, 3, 5, 4, 5, 4, 4, 5, 3, 4, 3], "185": [4, 3, 3, 3, 4, 4, 3, 2, 5, 3, 4, 4, 5, 3, 4, 4, 5, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4], "2544": [4, 3, 5, 3, 4, 5, 4, 3, 5, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 2, 3, 4, 3, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 4, 5, 3, 2, 3, 4, 3, 5, 5, 3, 4, 3, 4, 4, 3, 4, 3, 5, 4, 3, 3, 2, 4, 5, 3, 4, 3, 3, 4, 3, 3, 3, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 3, 5, 5, 3, 5, 4, 3, 5, 5, 3, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 5, 3, 4, 2, 3, 4, 4, 3, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 4, 4, 1, 3, 4, 4, 3, 4, 3, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 3, 5, 3, 3, 3, 3, 5, 4, 4, 5, 3, 4, 5, 3, 5, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 3, 1, 2, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 3, 3, 2, 4, 4, 4, 3, 2, 3, 5, 3, 4, 5, 4, 4, 4, 2, 3, 5, 4, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 3, 5, 3, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 2, 3, 3, 2, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 3, 3, 5, 2, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 3, 5, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 4, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 2, 4, 3, 2, 3, 3, 4, 3, 3, 3, 4, 2, 3, 3, 5, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 5, 5, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 5, 4, 3, 5, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 4, 3, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4], "2027": [5, 5, 4, 4, 5, 3, 4, 5, 5, 1, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 2, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 1, 4, 4, 4, 4, 2, 5, 4, 5, 4, 5, 4, 2, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 3, 2, 4, 3, 5, 5, 3, 5], "5312": [3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 4, 3, 4, 1, 5, 3, 3, 4, 5, 5, 4, 3, 4, 5, 5, 2, 4, 4, 4, 5, 5, 3, 2, 4, 3, 4, 2, 4, 5, 3, 3, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 2, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 4, 2, 2, 5, 4, 4, 5, 3, 4, 4, 3, 5, 5, 3, 4, 4, 5, 4, 2, 3, 3, 5, 3, 5, 4, 4, 2, 5, 5, 4, 1, 3, 3, 4, 4, 2, 4, 4, 4, 2, 2, 4, 4, 3, 4, 4, 5, 3, 2, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 5, 2, 1, 4, 3, 4, 5, 3, 5, 2, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 1, 5, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 2, 5, 4, 5, 5, 4, 4, 3, 5, 3, 4, 3, 4, 5, 3, 3, 5, 4, 3, 5, 2, 4, 4, 4, 5, 3, 5, 5, 4, 5, 4, 3, 3, 2, 4, 5, 4, 3, 3, 5, 4, 5, 3, 4, 4, 3, 3, 4, 3, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 4, 2, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 5, 2, 5, 5, 5, 4, 2, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 3, 4, 2, 3, 4, 5, 4, 5, 4, 2, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 3, 5, 4, 4, 2, 4, 4, 5, 4, 4, 1, 4, 4, 3, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 2, 5, 2, 5, 5, 4, 3, 5, 4, 4, 3, 5, 5, 4, 3, 4, 5, 2, 3, 2, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 2, 4, 5, 3, 5, 3, 4, 5, 4, 2, 4, 2, 4, 2, 4, 4, 5, 5, 3, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 2, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 5, 4, 4, 5, 1, 3, 4, 4, 1, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 4, 2, 3, 4, 5, 4, 4, 4, 2, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 2, 3, 2, 4, 5, 5, 4, 3, 4, 5, 4, 3, 5, 2, 5, 4, 5, 4, 4, 5, 4, 1, 3, 4, 3, 1, 5, 3, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 2, 4, 5, 3, 4, 5, 4, 3, 4, 3, 3, 3, 3, 5, 4, 5, 5, 5, 5, 5, 4, 2, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 5, 4, 4, 2, 3, 5, 5, 3, 3, 5, 4, 4, 4, 5, 4, 2, 4, 3, 3, 3, 4, 2, 3, 5, 5, 1, 2, 5, 4, 3, 1, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 1, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 3, 4, 4], "2121": [5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 4, 3, 4, 4, 3, 3, 1, 4, 4, 5, 4, 5, 3, 3, 4, 3, 4, 5, 5, 4, 2, 4, 4, 3, 4, 5, 5, 4, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 5, 3, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 3, 2, 3, 2, 4, 5, 3, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 5, 5, 3, 4, 4, 3, 3, 5, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 4, 2, 4, 4, 4, 5, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 1, 4, 1, 3, 3, 2, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 3, 4, 3, 4, 3, 2], "636": [4, 5, 5, 3, 2, 3, 4, 3, 2, 5, 2, 4, 4, 2, 5, 4, 4, 5, 3, 5, 5, 4, 4, 3, 5, 3, 3, 3, 4, 3, 3, 5, 4, 4, 4, 4, 3, 5, 3, 5, 3, 3, 4, 3, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 5, 3, 4, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 4], "4736": [5, 2, 3, 3, 5, 3, 5, 4, 3, 4, 5, 1, 4, 4, 2, 3, 3, 3, 2, 4, 2, 3, 5, 5, 4, 1, 3, 1, 5, 4, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 3, 4, 1, 5, 2, 4, 4, 4, 3, 4, 4, 2, 2, 2, 1, 2, 3, 3, 4, 3, 5, 3, 1, 5, 4, 5, 4, 3, 3, 2, 4, 5, 4, 1, 3, 4, 4, 4, 3, 2, 2, 4, 3, 3, 4, 1, 3, 3, 2, 1, 3, 5, 4, 4, 3, 2, 2, 1, 4, 3, 4, 4, 3, 3, 2, 4, 3, 4, 3, 4, 5, 4, 5, 2, 5, 1, 4, 2, 5, 2, 5, 1, 4, 4, 3, 5, 4, 3, 4, 3, 4, 5, 5, 5, 3, 4, 3, 5, 2, 3, 3, 1, 4, 3, 3, 4, 4, 3, 3, 2, 4, 1, 4, 3, 2, 4, 4, 2, 3, 3, 4, 2, 3, 3, 1, 4, 1, 3, 1, 3, 2, 2, 4, 2, 3, 5, 2, 4, 2, 4, 4, 4, 4, 4, 4, 2, 5, 1, 3, 5, 3, 4, 3, 3, 1, 5, 2, 3, 1, 4, 4, 4, 5, 3, 3, 1, 3, 4, 3, 1, 3, 2, 3, 2, 3, 4, 3, 4, 4, 3, 4, 2, 1, 5, 4, 3, 5, 2, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 1, 4, 4, 4, 1, 3], "3728": [4, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 5, 2, 5, 3, 4, 3, 4, 3, 2, 4], "4840": [5, 4, 5, 5, 3, 1, 5, 5, 1, 3, 4, 3, 5, 4, 4, 4, 2, 4, 2, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 5, 4, 3, 4, 5, 4, 5, 5, 4, 4, 3, 4], "3924": [4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 3, 5, 3, 3, 3, 4, 2, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 2, 5, 5, 3, 5, 4, 3, 5, 5, 4, 4, 5, 5], "2122": [4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 2, 5, 3, 3, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 2, 4, 4, 3, 2, 4, 1, 4, 4, 4, 4, 3, 5, 5, 5, 2, 4, 5, 3, 5, 5, 4, 3, 2, 5, 3, 2, 4, 5, 3, 5, 5, 4, 5, 2, 5, 5, 4, 3, 3, 4, 5, 2, 5, 5, 5, 3, 5, 2, 1, 3, 3, 3, 3, 4, 2, 4, 3, 3, 5, 3, 3, 2, 5, 2, 4, 5, 5, 3, 5, 4, 4, 3, 5, 5, 3, 5, 3, 4, 3, 4, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 5, 5, 2, 5, 4, 3, 5, 4, 4, 4, 4, 3, 5, 4, 4, 2, 4, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4], "5727": [2], "3562": [4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 3, 4, 2, 5, 4, 3, 5, 2, 3, 2, 3, 3, 3, 4, 5, 5, 3, 1, 5, 4, 3, 2, 4, 5, 5, 4, 3, 4, 4, 2, 3, 5, 3, 5, 5, 3, 3, 4, 4, 5, 4, 5, 3, 3, 5, 3, 4, 3, 5, 4, 3, 4, 4, 1, 5, 3, 3, 4, 5, 2, 5, 2, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 5, 3, 2, 2, 5, 4, 2, 4, 4, 2, 2, 4, 3, 3, 4, 2, 3, 3, 4, 3, 3, 5, 3, 3, 4, 4, 4, 3, 4, 1, 5, 4, 4, 3, 4, 3, 4, 5, 4, 2, 4, 3, 1, 3, 3, 4, 3, 4, 3, 3, 4, 1, 2, 2, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 5, 2, 4, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 4, 1, 2, 4, 4, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 3, 5, 3, 4, 3, 3, 2, 3, 3, 3, 5, 4, 4, 3, 4, 4, 1, 3, 3, 2, 3, 5, 3, 5, 1, 5, 5, 4, 3, 2, 4, 2, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 5, 3, 5, 2, 4, 3, 5, 3, 5, 4, 2, 3, 3, 5, 2, 3, 4, 2, 1, 3, 3, 3, 2, 5, 4, 4, 4, 5, 3, 3, 2, 3, 4, 3, 5, 4, 5, 4, 3, 3, 5, 3, 4, 2, 2, 1, 2, 1, 4, 3, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 5, 5, 3, 4, 5, 5, 5, 3, 3, 4, 2, 4, 3, 3, 4, 4, 2, 3, 3, 3, 5, 5, 3, 2, 4, 4, 5, 3, 4, 3, 3, 2, 4, 3, 3, 2, 5, 4, 1, 2, 5, 3, 2, 3, 4, 4, 2, 3, 3, 3, 2, 1, 4, 3, 4, 4, 3, 3, 5, 3, 5, 2, 2, 4, 3, 2, 3, 5, 4, 2, 2, 2, 4, 4, 2, 3, 4, 1, 2, 5, 2, 2, 4, 3, 4, 4, 3, 3, 3, 1, 3, 2, 5, 4, 3, 4, 3, 4, 1, 2, 4, 3, 5, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 5, 1, 3, 2, 4, 4, 5, 3, 4, 2, 2, 5, 3, 2, 3, 4, 4, 3, 4, 2, 4, 3, 4, 3, 2, 4, 3, 2, 4, 5, 4, 4, 4, 3, 1, 3, 3, 3, 4, 4, 1, 2, 4, 4, 2, 2, 2, 4, 3, 4, 5, 1, 4, 4, 4, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 4, 2, 2, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3], "5907": [5, 4, 5, 4, 3, 3, 3, 5, 3, 4, 3, 4, 5, 4, 3, 5, 5, 3, 5, 4, 3, 5, 4, 3, 4, 3, 5, 5, 5, 3, 4, 5, 3, 5, 2, 2, 4, 4, 4, 2, 4, 3], "5155": [3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 1, 1, 1], "936": [2, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 4, 3, 3, 5, 3, 3, 4, 4, 3, 4, 2, 4, 5, 5, 3, 5, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4], "1533": [3, 3, 5, 5, 3, 5, 5, 5, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 4, 4, 4, 5, 4, 5], "5428": [3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 3, 4, 4, 3, 4, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 4, 2, 5, 4, 5, 4, 5, 3, 4, 5, 5, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 5, 4, 4, 1, 2, 5, 4, 3, 2, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 5, 3, 2, 2, 4, 3, 5, 4, 5, 2, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 2, 4, 2, 5, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 2, 2, 5, 5, 4, 4, 4, 5, 5, 2, 3, 3, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 4, 5, 4, 2, 5, 3, 4, 5, 4, 4, 5, 2, 4, 3, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 5, 3, 5, 4, 1, 4, 5, 5], "4697": [5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 3, 4, 5, 4, 4, 3, 3, 2, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 2, 5, 5, 4, 4, 4, 5, 3, 4, 3, 5, 5, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 5, 5, 5, 1, 4, 4, 3], "2414": [4, 5, 2, 3, 5, 4, 4, 5, 5, 5, 1, 1, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 2, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 5, 2, 5, 4, 5, 2, 3, 3, 4, 5, 3, 4, 5, 4, 5, 3, 5, 2, 3, 3, 4, 4, 5, 5, 4, 4, 2, 4, 3, 4, 4, 5, 4, 5, 3, 5, 5, 5, 4, 4, 1, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 2, 4, 4, 3, 4, 3, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 5, 2, 4, 4, 5, 5, 5, 5, 3, 3, 2, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4], "2297": [5, 3, 4, 3, 5, 5, 2, 4, 5, 4, 5, 3, 5, 5, 4, 4, 3, 4, 3, 5, 4, 5, 5, 5, 4, 5, 4, 5, 1, 3, 5, 4, 3, 5, 4, 3, 5, 5, 5], "985": [4, 5, 5, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 3, 5, 4, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4], "97": [5, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 2, 5, 5, 5, 4, 5, 4, 3, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 3, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4], "4371": [4, 5, 3, 5, 4, 4, 4, 5, 5, 3, 4, 5, 3, 4, 4, 5, 4, 2, 5, 2, 5, 5, 2, 5, 4, 2, 5, 4, 3, 2, 4, 5, 5, 3, 3, 4, 1, 4, 5, 4, 2, 4, 5, 5, 5, 4, 2, 3, 4, 4, 3, 4, 4, 4, 2, 3, 3, 2, 4, 5, 3, 4, 3, 2, 4, 4, 4, 3, 4, 1], "1940": [5, 4, 2, 5, 4, 5, 4, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5], "2598": [3, 5, 3, 4, 3, 2, 5, 2, 5, 5, 5, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 3, 4, 3, 4], "2473": [3, 5, 4, 5, 5, 3, 4, 5, 4, 3, 4, 3, 2, 3, 5, 5, 3, 3, 3, 3, 4, 3, 5, 4, 4, 1, 4], "1198": [4, 2, 5, 3, 3, 3, 4, 5, 3, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 1, 5, 3, 3, 5, 5, 5, 5, 4, 1, 5, 4, 1, 3, 1, 5, 1, 3, 1, 1, 5, 1, 5, 3, 5, 1, 5, 2, 4, 5, 3, 1, 5, 1, 5, 5, 3, 3, 4, 4, 3, 4, 4, 1], "5899": [4, 1, 3, 4, 2, 4, 5, 2, 3, 4, 4, 5, 3, 4, 3, 3, 3, 3], "244": [3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 2, 4, 5, 4, 3, 4, 4, 5, 2, 4, 4, 3, 4, 2, 4, 3, 4, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5], "3542": [2, 5, 3, 2], "5680": [5, 5, 5, 3, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 1, 4, 5, 5, 2, 4, 3, 4, 4, 4, 5, 5, 5, 1, 4, 3, 4, 4, 4, 5, 5, 4, 4, 2, 4, 5, 5, 3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 3, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 1, 3, 4, 4, 2, 1, 2, 5, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 3, 4, 4, 2, 5, 4, 5, 4, 3, 5, 5, 3, 3, 5, 5, 3, 4], "859": [4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 2, 2, 3, 5, 3, 4, 5, 2, 3, 4, 4, 3, 5, 3, 4, 2, 4, 4, 4, 3, 3, 3, 5, 4, 4, 2, 4, 3, 3, 4, 2, 4, 3, 3, 4, 3, 2, 3, 3, 3, 5, 4, 4, 4, 4, 5, 2, 3, 4, 5, 4, 3, 3, 4, 1, 4, 3, 3, 2, 3, 2, 2, 3, 3, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 5, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 4, 5, 3], "3917": [3, 4, 4, 2, 4, 3, 5, 4, 3, 4, 4, 5, 4, 3, 4, 3, 4, 3, 1, 4, 4, 5, 4, 5, 4, 1, 5, 5, 5, 4, 4, 2, 1, 5, 2, 3, 4, 3, 4, 5, 4, 3, 5, 2, 2, 3, 4, 4, 4, 3, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 4, 2, 5, 3, 5, 3, 3, 2, 3, 1, 5, 5], "4221": [1, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 4, 1, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 3, 4, 5, 5, 5, 4, 5, 4, 4, 1, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 4, 5, 5, 5, 5, 3, 1, 3, 3, 5, 4, 4, 4, 5, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3], "2369": [4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 1, 4, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 5, 4, 5], "4134": [5, 3, 4, 5, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 3, 2, 4, 4, 4, 5, 4, 5, 3, 3, 5, 2, 4, 5, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 5, 3, 4, 4, 2, 3, 4, 4, 4, 2, 5, 3, 3, 3, 2, 5, 3, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5, 4, 3, 3, 5, 3, 4, 2, 3, 2, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 5, 3, 3, 5, 5, 3, 4, 5, 3, 4, 5], "5264": [3, 5, 5, 4, 4, 5, 4, 3, 4, 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 2, 3, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 5, 5, 4, 4, 4, 1, 4, 4, 4, 4, 5, 3, 4, 3, 2, 4, 4, 5, 4, 1, 3, 2, 3, 4, 5, 5, 1, 4, 4, 3, 5, 4, 3, 5, 4, 5, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4], "1035": [5, 5, 2, 5, 3, 1, 5, 5, 3, 5, 5, 4, 1, 4, 3, 4, 4, 5, 4, 5, 1, 1, 5, 3, 5, 5, 5, 1, 2, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 3, 5, 2, 3, 2, 5, 2, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 1, 2, 5, 1, 5, 1, 3, 5, 5, 5, 5, 1], "1259": [5, 5, 4, 5, 5, 4, 5, 4, 5, 2, 4, 4, 4, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 2, 4, 4, 4, 3, 2, 2, 2, 2, 3, 5, 2, 2, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 4, 5, 5], "3352": [5, 5, 4, 3, 2, 5, 4, 2, 5, 5, 5, 5, 4, 5, 4, 4, 3, 2, 1, 2, 5, 5, 4, 3, 5, 5, 2, 2, 5, 5, 4, 3, 5, 5, 3, 4, 5, 4, 1, 2, 5, 5, 3, 5, 5, 3, 4, 4, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 5, 5, 4, 3, 1, 4, 4, 1, 3, 5, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 1, 4, 2, 3], "412": [5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 4, 3, 5, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 2, 3, 5, 5, 5, 3, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 5, 1, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 5, 3, 5, 5, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 2, 4, 3, 4, 5, 5, 4, 4, 5, 3, 5, 4, 4, 4, 5, 4, 3, 5, 3, 4, 5, 5, 3, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 5, 3, 3, 4, 3, 5, 5, 3, 4, 2, 4, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 1, 4, 4, 5, 5, 5, 5, 4, 5, 5, 1, 5], "4153": [4, 5, 4, 3, 5, 4, 5, 1, 4, 5, 4, 3, 4, 4, 5, 3, 4, 5, 5, 2, 5, 1, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 1, 3, 1, 3, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 5, 4, 4, 4, 4, 2, 5, 4, 3, 1, 3, 4, 4, 2, 5, 3, 4, 3, 3, 3, 3, 4, 5, 3, 2, 4, 2, 3, 5, 4, 5, 5, 4, 5, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 2, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 5, 3, 4, 4, 5], "3898": [4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 3, 3, 5, 3, 4, 5, 4, 3, 4, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 4, 3, 5, 3, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 5, 3, 4, 4, 3, 4, 5, 3, 3, 2, 4, 5, 3, 3, 4, 4, 4, 3, 4], "5231": [5, 3, 5, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4], "228": [5, 4, 4, 5, 4, 5, 5, 4], "2271": [4, 5, 3, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 5, 5, 4, 4, 4, 4, 5, 3, 3, 5, 3, 5, 5, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 5, 3, 3, 5, 3, 4, 4, 3, 3, 5, 3, 5, 5, 3, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 5, 4, 5, 3, 5, 3, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 5, 3, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5], "5454": [5, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 5, 1, 5, 4, 5, 5, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 2, 5, 5, 3, 5, 4, 3, 5, 4, 5, 4, 2, 4, 3, 4, 5, 4, 5, 5, 2, 4, 4, 4, 4], "138": [5, 3, 3, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5], "1776": [2, 3, 2, 4, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 3, 4, 4, 2, 3, 4, 3, 3, 3, 5, 3, 3, 3, 2, 2, 2, 4, 3, 3, 3, 2, 4, 2, 2, 2, 3, 4, 2, 5, 5, 3, 5, 4, 2, 3, 4, 3, 3, 4, 4, 3, 5, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 5, 4, 3, 3, 3, 5, 3, 1, 3, 3, 2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 2, 4, 5, 5, 2, 2, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 2, 2, 3, 1, 1, 1, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 4, 4, 3, 4, 2, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 3, 1, 3, 4, 4, 3, 2, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 4, 3, 2, 3, 3, 3, 3, 2, 5, 5, 2, 5, 3, 3, 2, 4, 5, 2, 3, 1, 5, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 5, 2, 1, 3, 5, 5, 3, 2, 3, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 3, 4, 2, 4, 4, 2, 4, 4, 3, 3, 3, 2, 4, 5, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 1, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 3, 3, 4, 4, 3], "1462": [5, 4, 5, 2, 3, 5, 3, 4, 4, 4, 2, 4, 3, 3, 4, 3, 4, 5, 4, 5, 2, 3, 1, 5, 3, 3], "648": [4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 5, 3, 1, 5, 5, 4, 4, 3, 4, 4, 5, 4, 2, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 3, 5, 5, 4, 4, 3, 5, 4, 3, 1, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5], "3330": [5, 2, 4, 5, 2, 5, 5, 2, 3, 3], "4174": [5, 5, 5, 5, 4, 3, 3, 5, 4, 2, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 4, 5, 4, 2, 3, 4, 4, 4, 3, 5, 4], "4048": [2, 4, 3, 4, 4, 3, 2, 5, 3, 3, 3, 4, 1, 3, 4, 5, 4, 5, 3, 5, 4, 3, 1, 4, 5, 4, 1, 3, 4, 3, 4, 4, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 2, 5, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 4, 5, 4, 3, 5, 3, 4, 3, 4, 5, 3, 5, 3, 4, 4, 5, 3, 4, 4, 3, 3, 5, 3, 5, 5, 4, 5, 4, 5, 4, 4, 2, 4, 5, 2, 5, 4, 2, 4, 2, 5, 3, 5, 4, 5, 5, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 4, 2, 4, 5, 5, 2, 4, 5, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 3, 3, 4, 2, 2, 5, 4, 2, 5, 5, 1, 2, 1, 4, 3, 4, 4, 1, 3, 3, 5, 4, 4, 2, 5, 4, 4, 3, 2, 4, 5, 4, 3, 4, 4, 3, 5, 4, 1, 5, 3, 2, 2, 3, 1, 5, 4, 5, 5, 4, 4, 3, 4, 1, 3, 4, 5, 3, 5, 3, 3, 3, 4, 5, 4, 1, 5, 3, 4, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 2, 2, 4, 5, 4, 3, 3, 4, 3, 3, 5, 4, 4, 1, 1, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 4, 3, 5, 4, 5, 4, 4, 4, 3, 2, 4, 3, 5, 4, 5, 4, 3, 5, 1, 3, 3, 4, 3, 5, 3, 2, 4, 4, 4, 1, 3, 4, 4, 5, 5, 5, 4, 5, 3, 4, 4, 2, 5, 4, 5, 4, 2, 4, 2, 4, 4, 2, 3, 3, 3, 4, 3, 5, 5, 5, 3, 5, 4, 1, 4, 4, 5, 4, 5, 5, 3, 3, 2, 3, 4, 2, 5, 5, 3, 3, 2, 4, 2, 3, 5, 2, 4, 5, 1, 5, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 4, 4, 3, 3, 4, 2, 2, 4, 3, 3, 4, 4, 2, 4, 2, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 4, 5, 3, 5, 2, 4, 5, 3, 2, 5, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 3, 3, 3, 3, 2, 3, 4, 5, 3, 5, 2, 3, 5, 5, 4, 3, 5, 4, 4, 3, 4, 4, 2, 4, 5, 5, 4, 2, 2, 2, 4, 5, 4, 4, 3, 4, 4, 5, 3, 5, 5, 4, 2, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 2, 4, 5, 3, 4, 3, 4, 5, 5, 3, 2, 5, 4, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 2, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 3, 5, 4, 5, 3, 1, 4, 5, 4, 1, 4, 2, 2, 5, 2, 4, 4, 4, 3, 4, 3, 3, 2, 4, 4, 3, 4, 5, 2, 4, 2, 5, 5, 5, 5, 5, 2, 5, 4, 4, 3, 5, 3, 5, 4, 4, 1, 4, 4, 5, 2, 3, 3, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 3, 4, 2, 3, 5, 5, 2, 3, 1, 3, 3, 5, 2, 2, 4, 1, 5, 5, 5, 2, 5, 3, 4, 2, 2, 5, 4, 3, 5, 3, 4, 3, 4, 5, 3, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 3, 4], "1357": [3, 5, 3, 4, 1, 3, 2, 1, 5, 2, 3, 5, 3, 1, 4, 5, 2, 3, 2, 5, 3, 2, 3, 3, 5, 3, 3, 2, 1, 1, 5, 4, 3, 4, 5, 5, 4, 4, 5, 1, 5, 2, 5, 4, 4, 4, 4, 2, 4, 2, 1, 5, 5, 1, 1, 3, 2, 2, 1, 3, 2, 2, 2, 1, 3, 2, 1, 2, 4, 3, 5, 4, 3, 5, 5, 3, 5, 2, 1, 4, 5, 4, 3, 5, 2, 3, 1, 3, 5, 1, 1, 2, 1, 2, 4, 3, 2, 2, 4, 4, 3, 3, 4, 2, 1, 1, 3, 3, 4, 2, 2, 3, 3, 1, 1, 2, 2, 4, 2, 4, 2, 3, 2, 3, 1, 1, 1, 1, 2, 3, 5, 4, 5, 2, 1, 1, 2, 1, 2, 5, 2, 1, 5, 1, 3, 1, 3, 1, 3, 4, 1, 5, 4, 3, 5, 4, 3, 2, 4, 4, 2], "3451": [4, 3, 5, 5, 4, 3, 5, 5, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 2, 4, 5, 4, 4, 3, 2, 2, 4, 2, 5, 4, 5, 5, 4, 4, 4, 5, 3, 4, 3], "418": [4, 3, 4, 5, 4, 3, 5, 4, 3, 1, 4, 2, 3, 2, 3, 3, 4, 4, 3, 4, 3, 5, 5, 1, 1, 1, 5, 3, 5, 3, 5, 5, 4, 3, 3, 4, 1, 5, 4, 5, 3, 3, 3], "311": [5, 4, 5, 4, 2, 5, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5], "504": [4, 4, 5, 1, 4, 5, 5, 3, 5, 5, 5, 3, 2, 4, 5, 4, 5, 5, 3, 4, 3, 5, 5, 5, 3, 4, 2, 3, 2, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 2, 4, 5, 3, 4, 3, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 3, 4, 1, 5, 4, 3, 5, 3, 4, 5, 5, 2, 5, 4, 3, 1, 2, 2, 2, 1, 2, 4, 3, 3, 4, 4, 5, 5, 5, 4, 2, 4, 4, 4], "2952": [4, 4, 5, 5, 5, 5, 2, 3, 3, 4, 4, 1, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 4, 3, 5, 5, 5, 3, 4, 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 3, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 4, 3, 5, 4, 4, 5, 5, 3, 5, 4, 4, 5, 5, 3, 5, 4, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 3, 4, 2, 4, 5, 5, 3, 3, 5, 5, 4, 5, 5, 4, 2, 3, 4, 3, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5], "5328": [5, 4, 5, 5, 5, 1, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 1, 5, 5, 2, 5, 5, 1, 4, 1, 1, 4, 5, 1, 1, 5, 5, 5, 1, 5, 1, 5, 1, 1, 5, 5, 5, 1, 1, 5, 1, 1, 5], "4774": [5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 1, 5, 4, 4, 5, 4, 2, 5, 4, 3, 4, 5, 5, 5, 2, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 4, 2, 5, 5, 1, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 3, 3, 5, 4, 5, 3, 5, 5, 4, 4, 5, 5, 4], "668": [3, 5, 3, 5, 5, 4, 3, 5, 1, 2, 1, 4, 4, 5, 4, 3, 1, 5, 4, 3, 3, 3, 3, 2, 4, 3, 4, 5, 4], "5254": [5, 2, 4, 1, 3, 2, 3, 4, 5, 3, 4, 4, 4, 4, 2, 5, 4, 3, 4, 3, 3, 4, 3, 4, 2, 4, 4, 4, 3, 5, 4, 4, 2, 3, 3, 4, 3, 3, 3, 3, 3, 5, 4, 5, 4, 3, 5, 2, 2, 4, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 2, 4, 3], "1187": [4, 3, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 3, 4, 4, 3, 4, 4], "2279": [5, 4, 4, 4, 5, 5, 2, 1, 3, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 2, 3, 3, 5, 3, 2, 5, 5, 3, 3, 3, 4, 4, 3, 5, 4, 5, 4, 5, 5, 4, 5, 1, 4, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 3, 2, 4, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 2, 5, 5, 5, 3, 2, 1, 4, 2, 1, 4, 2, 3, 4, 3, 4, 2, 3, 4, 2, 2, 5, 5, 5, 3, 5, 3, 3, 4, 5, 3, 4, 3, 3, 3, 2, 5, 3, 4, 3, 2, 4, 4, 5, 2, 3, 3, 5, 2, 5, 4, 5, 4, 4, 4, 3, 2, 5, 3, 3, 3, 5, 2, 4, 5, 2, 4, 4, 3, 4, 2, 4, 5, 4, 4, 5, 4, 3, 1, 2, 2, 3, 1, 1, 1, 1, 3, 3, 5, 4, 4, 4, 4, 3, 4, 5, 3, 2, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 5, 3, 4, 2, 5, 4, 3, 4, 4, 5, 4, 3, 5, 3, 5, 5, 2, 4, 3, 4, 3, 4, 5, 3, 1, 2, 5, 5, 3, 4, 3, 3, 4, 3, 4, 3, 5, 4, 1, 5, 3, 3, 2, 4, 4, 2, 4, 2, 5, 3, 2, 1, 4, 5, 4, 5, 5, 4, 5, 4, 2, 3, 2, 2, 2, 3, 4, 3, 3, 2, 5, 3, 5, 4, 5, 4, 4, 4, 5, 3, 5, 2, 4, 5, 4, 5, 3, 5, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 5, 5, 2, 5, 3, 3, 5, 4, 4, 3, 3, 2, 4, 3, 5, 4, 3, 5, 4, 3, 5, 3, 2, 5, 4, 4, 4, 4, 5, 3, 5, 2, 3, 3, 3, 4, 3, 3, 2, 4, 3, 5, 4, 4, 5, 3, 3, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 4, 3, 4, 3, 2, 5, 4, 2, 5, 3, 5, 4, 4, 4, 5, 2, 3, 4, 5, 1, 4, 5, 5, 5, 4, 3, 3, 3, 5, 3, 5, 4, 5, 1, 5, 5, 4, 4, 5, 2, 4, 4, 4, 3, 3, 5, 3, 4, 4, 5, 4, 5, 4, 5], "1440": [3, 3, 4, 3, 5, 4, 4, 2, 5, 3, 3, 3, 3, 5, 3, 4, 2, 3, 4, 3, 3, 5, 3, 5, 4, 1, 5, 2, 2, 3, 3, 5, 3, 3, 5, 3, 1, 4, 5, 1, 5, 3, 4, 1, 1, 3, 5, 4, 5, 2, 2, 3, 4, 2, 3, 3, 5, 2, 3, 4, 3, 3, 3, 4, 1, 3, 2, 4, 4, 1, 3, 2, 3, 4, 5, 3, 2, 4, 2, 4, 2, 1, 1, 4, 2, 5, 3, 4, 3, 4, 3, 4, 2, 3, 2, 4, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 2, 4, 4, 4, 4, 5, 4, 2, 3, 4, 4, 3], "1343": [5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 3, 4, 5, 4, 2, 3, 2, 5, 3, 5, 2, 4, 3, 5, 5, 5, 2, 3, 5, 2, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 3, 4, 1, 2, 4, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 1, 4, 5, 1, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 2, 5, 3, 5], "5139": [3, 5, 3, 5, 3, 2, 4, 5, 3, 3, 2, 3, 4, 3, 2, 4, 2, 4, 3, 3, 2, 5, 2, 5, 5, 5, 4, 1, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 4, 5, 5, 3, 4, 5, 4, 4, 5, 2, 4, 4, 5, 3, 3, 2, 3, 2, 4, 5, 1, 5, 4, 4, 4, 5, 4, 5, 4, 3, 2, 5, 3, 3, 3, 4, 2, 5, 3, 4, 3, 4, 5, 4, 4, 3, 3, 5, 3, 4, 5, 3, 5, 5, 3, 3, 5, 3, 3, 4, 4, 5, 3, 5, 3, 4, 3, 4], "5983": [4, 5, 4, 5, 3, 5, 4, 5, 4, 5, 2, 5, 2, 5, 4, 4, 4, 5, 1, 4, 5, 4, 4, 3, 5, 5], "500": [4, 5, 4, 2, 5, 1, 2, 5, 3, 3, 3, 3, 4, 4, 1, 3, 4, 4, 4, 5, 2, 5, 4, 4, 4, 2, 5, 3, 5, 5, 5, 1, 4, 5, 1, 1, 5, 4, 5, 3, 5, 3, 5, 3, 5, 3, 1, 4, 5, 2, 4, 2, 5, 5, 3, 3, 5, 3, 2, 3, 2, 4, 4, 2, 5, 4, 3, 4, 1, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 1, 5, 3, 4, 3, 3, 4], "3566": [4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 2, 4, 5, 3, 4, 4, 3, 5, 3, 4, 4, 3, 5, 4, 4, 4], "3891": [5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 2, 5, 4, 4, 4, 5, 5, 5, 5, 4, 1, 5, 4, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 2, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 3, 1, 3, 3, 4, 3, 4, 5, 5, 1, 5, 5, 5, 1, 5, 5, 4, 5, 5, 5, 5], "3240": [3, 4, 2, 5, 2, 4, 4, 3, 3, 2, 5, 3, 2, 4, 4, 3, 5, 4, 3, 4, 1, 4, 4, 5, 3, 3, 5, 5, 4, 2, 5, 4, 4, 3, 2, 4, 5, 3, 3, 5, 2, 3, 4, 3, 5, 5, 2, 4, 3, 5, 4, 2, 5, 3, 2, 3, 2, 4, 4, 4, 2, 5, 3, 3, 2, 4, 2, 3, 3, 4, 4, 3, 4, 3, 3, 2, 4, 2, 2, 3, 3, 5, 2, 3, 4, 5, 3, 5, 2, 5, 4, 1, 1, 5, 4, 5, 4, 3, 2, 3, 4, 5, 4], "4999": [5, 5, 5, 5, 5, 4, 5, 4, 5, 3, 4, 3, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 4, 5, 5, 3, 5, 3, 4, 3, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5], "2572": [4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 3, 5, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 1, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 3, 1, 2, 4, 4, 4, 3, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 4, 2, 4, 5, 5, 5, 5, 5, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5], "1749": [3, 3, 3, 3, 4, 5, 3, 3, 4, 3, 2, 3, 3, 1, 2, 4, 2, 3, 5, 5, 3, 3, 3, 3, 2, 4, 3, 2, 3, 3, 2, 1, 3, 3, 2, 4, 3, 2, 2, 4, 4, 2, 3, 4, 4, 4, 1, 3, 3, 3, 4, 1, 2, 3, 3, 2, 3, 3, 1, 3, 3, 4, 1, 3, 1, 2, 5, 2, 5, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 2, 1, 3, 3, 4, 2, 3, 3, 4, 5, 4, 3, 4, 3, 3, 3, 2, 1, 4, 3, 1, 2, 4, 4, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 2, 3, 1, 4, 3, 1, 5, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 4, 3, 4, 4, 2, 3, 5, 4, 4, 3, 3, 2, 1, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 2, 4, 1, 1, 3, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 2, 3, 3, 1, 3, 3, 2, 4, 3, 1, 1, 3, 4, 2, 4, 2, 4, 3, 4, 3, 3, 2, 3, 3, 4, 4, 3, 2, 5, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 3, 4, 1, 3, 3, 3, 2, 2, 4, 2, 5, 3, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 2, 3, 3, 3, 4, 1, 3, 3, 2, 1, 1, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 3, 2, 2, 2, 3, 5, 2, 1, 2, 5, 2, 3, 3, 3, 5, 5, 3, 3, 5, 5, 4, 3, 3, 2, 3, 2, 3, 3, 1, 5, 5, 3, 2, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 1, 2, 1, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 1, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 2, 4, 4, 2, 3, 1, 4, 5, 2, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 3, 1, 1, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 2, 1, 4, 1, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 1, 4, 3, 5, 3, 4, 3, 5, 4, 4, 2, 5, 2, 3, 4, 4, 3, 4, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 3, 4, 4, 2, 4, 3, 3], "5434": [4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 1, 5, 5, 5, 5, 3, 4, 1, 4, 4, 5, 3, 5, 5, 5, 2, 5, 3, 3, 5, 5, 1, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 5, 2, 5, 5, 3, 5, 5, 3, 3, 5, 5, 1, 5, 4, 5, 3, 5, 4, 1, 4, 5, 3, 3, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 3, 2, 3, 1, 5, 3, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 2, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 2, 4, 1, 5, 3, 4, 3, 3, 2, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 3, 4, 2, 5, 5, 4, 4, 4, 4, 2, 3, 5, 1, 4, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 3, 5, 5, 3, 4, 5, 3], "2446": [3, 4, 3, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 3, 4, 4, 4, 1, 3, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 4, 4, 2, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 4, 2, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 4, 5, 5, 3, 3, 3, 5, 5, 4, 3, 5, 3, 3, 3, 5, 4, 3, 4, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 3, 3, 4, 3, 5, 4, 3, 3, 5, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 1, 5, 5, 4, 5, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 4, 5, 5, 1, 4, 4, 4, 5, 5, 4, 3, 5, 4, 1, 5, 3, 5, 3, 4, 3, 5, 5, 5, 5, 4, 5, 4, 3, 4, 3, 5, 5, 4, 5, 5, 4, 5, 3, 3, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4], "1358": [2, 3, 4, 1, 5, 3, 4, 3, 4, 2, 4, 3, 5, 4, 5, 3, 5, 1, 2, 1, 3, 3, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 1, 1, 5, 4, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 4, 4, 2, 4, 5, 3, 3, 4, 3, 4, 4, 2, 4, 2, 4, 4, 3, 2, 2, 5, 5, 3, 2, 5, 4, 2, 3, 2, 5, 4, 5, 1, 5, 3, 3, 2, 3, 3, 1, 4, 3, 3, 3, 3, 3, 1, 3, 3, 3, 4, 2, 3, 2, 3, 4, 5, 4, 2, 5, 2, 2, 1, 3, 3, 2, 4, 3, 5, 3, 3, 5, 4, 3, 2, 2, 2, 2, 1, 2, 2, 5, 5, 3, 4, 3, 3, 4, 2, 3, 1, 1, 2, 3, 2, 3, 4, 2, 3, 4, 4, 4, 5, 4, 3, 3, 4, 5, 3, 5, 4, 4, 3, 3, 2, 5, 2, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 3, 5, 3, 4, 5, 4, 5, 2, 4, 5, 1, 3, 3, 5, 3], "4980": [3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 5, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 4, 2, 5, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 2, 4, 4, 3, 3, 3, 4, 5, 4, 3, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 5, 3, 3, 2, 3, 2, 3, 5, 4, 2, 5, 3, 4, 3, 4, 3, 4, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 2, 3, 4, 4, 3, 4, 4, 5, 4, 3, 4, 3, 2, 3, 4, 4, 4, 4, 3, 3, 2, 4, 3, 3, 5, 2, 3, 3, 3, 2, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 2, 4, 4, 3, 4, 5, 3, 4, 3, 4, 2, 4, 4, 5, 3, 4, 3, 2, 5, 3], "1000": [4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 2, 4, 4, 4, 3, 3, 5, 3, 5, 4, 5, 5, 3, 2, 3, 5, 4, 5, 3, 4, 5, 4, 4, 5, 3, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 3, 4], "6007": [3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 2, 4, 4, 3, 2, 2, 2, 4, 3, 2, 1, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 2, 2, 3, 5, 3, 4, 3, 2, 4, 2, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 5, 4, 5, 3, 3, 2, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 2, 3, 4, 2, 2, 4, 3, 5, 4, 3, 2, 1, 4, 5, 5, 5, 3, 3, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 3, 1, 5, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 5, 2, 3, 2, 4, 4, 2, 2, 2, 3, 4, 4, 3, 4, 5, 3, 3, 4, 2, 3, 3, 3, 2, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 4, 2, 4, 4, 3, 2, 5, 2, 3, 5, 2, 4, 4, 5, 3, 2, 5, 5, 2, 4, 3, 4, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 2, 1, 2, 4, 3, 3, 3, 3, 3, 4, 2, 5, 2, 4, 4, 3, 3, 4, 2, 4, 2, 3, 2, 2, 2, 3, 2, 2, 4, 4, 3, 2, 2, 4, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 3, 3, 4, 3, 1, 4, 4, 2, 4, 3, 3, 2, 3, 2, 3, 3, 2, 4, 4, 3, 3, 3, 3, 4, 4, 4, 1, 2, 4, 2, 2, 4, 2, 2, 4, 4, 2, 3, 3, 4, 3, 4, 2, 2], "3332": [4, 4, 5, 4, 1, 5, 3, 2, 3, 5, 1, 2, 2, 3, 4, 5, 3, 2, 1, 4, 3, 2, 1, 5, 3, 3, 3, 3, 3, 3], "5590": [3, 4, 4, 5, 5, 5, 3, 5, 4, 3, 4, 1, 1, 5, 2, 2, 4, 5, 5, 1, 4, 4, 5, 5, 5, 1, 5, 5], "2889": [5, 4, 2, 5, 4, 3, 4, 4, 1, 5, 2, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 2, 5, 3, 5, 4, 2, 4, 5, 5, 3, 5, 4, 4, 5, 5, 2, 3, 5, 2, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 2, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 3, 2, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 2, 4, 4, 4, 4, 2, 4, 5, 1, 5, 4, 4, 4, 2, 4, 5, 2, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 3, 5, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 2, 4, 5, 4, 4, 4, 5, 4], "3128": [4, 5, 4, 1, 5, 5, 4, 4, 3, 4, 2, 3, 1, 4, 5, 5, 5, 3, 3, 4, 3, 4, 3, 3, 5, 5, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 4, 4, 1, 5, 3, 5, 3, 4, 2, 3, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 3, 2, 1, 4, 3, 2, 3, 3, 4, 2, 4, 3, 4, 3, 1, 1, 5, 3, 2, 3, 5, 5, 5, 4, 3, 1, 3, 3, 2, 4, 5, 5, 3, 1, 3, 4, 4, 1, 4, 2, 2, 5, 4, 4, 4, 1, 4, 5, 3, 2, 5, 1, 5, 4, 5, 4, 2, 3, 4, 2, 4, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 2, 2, 4, 1, 5, 3, 4, 5, 3, 5, 4, 4, 1, 5, 3, 5, 5, 3, 4, 4, 3, 5, 3, 3, 5, 4, 2, 4, 5, 4, 2, 5, 4, 4, 3, 5, 1, 2, 1, 5, 4, 1, 4, 1, 4, 3, 4, 4, 3, 4, 5, 5, 5, 2, 4, 4, 3, 4, 5, 2, 4, 4, 4, 3, 5, 4, 3, 5, 4, 4, 3, 5, 3, 5, 5, 2, 5, 1, 1, 3, 4, 1, 5, 5, 3, 5, 3, 3, 3, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 1, 4], "5478": [3, 3, 4, 4, 5, 4, 4, 3, 5, 3, 4, 3, 4, 1, 4, 4, 4, 4, 2, 4, 4, 3, 4, 3, 4], "2674": [5, 5, 4, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 4, 4, 1, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 4, 5, 4, 3, 4, 3, 5, 4, 4, 5, 4, 3, 5, 3, 4, 5, 5], "2612": [3, 4, 5, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 2, 2, 2, 5, 5, 3, 2, 3, 2, 3, 2, 3, 5, 3], "2506": [5, 3, 5, 5, 3, 3, 5, 5, 4, 4, 2, 2, 5, 5, 3, 5, 1, 2, 3, 4, 5, 5, 1, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 2, 2, 5, 2, 3, 3, 4, 2, 4, 4, 1, 2, 5, 2, 4, 2, 3, 2, 5, 3, 2, 5, 4, 4, 2, 4, 4, 5, 4, 4, 2, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 5, 1, 4, 4, 2, 2, 2, 4, 1, 3, 5, 5, 1, 3, 5, 1, 5, 4, 3, 5, 1, 4, 2, 5, 1, 2, 2, 2, 4, 4, 5, 3, 4, 5, 4, 1, 2, 4, 4, 4, 3, 3, 4, 5, 5, 1, 4, 3, 5, 4, 4, 2, 4, 4, 1, 5, 1, 2, 4, 4, 4, 4, 3, 3, 4, 4, 5, 2, 4, 5, 2, 2, 4, 3, 3, 5, 3, 2, 3, 5, 5, 2, 2, 5, 3, 5, 2, 1, 5, 3, 5, 4, 3, 2, 3, 4, 4, 2, 2, 3, 2, 5, 2, 4, 1, 3, 5, 1, 2, 5, 3, 4, 4, 5, 4, 1, 2, 2, 5, 5, 3, 3, 4, 3, 3, 5], "3347": [4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5], "2951": [4, 3, 4, 4, 4, 4, 5, 4, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 3, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5], "2250": [4, 3, 5, 5, 4, 3, 5, 1, 1, 1, 4, 4, 4, 4, 3, 5, 3, 1, 1, 4, 4, 5, 3, 2, 1, 1, 4, 4, 1, 4, 5, 2, 1, 3], "1562": [3, 4, 1, 1, 2, 3, 4, 2, 5, 3, 2, 3, 2, 3, 2, 3, 4, 3, 2, 4, 2, 2, 4, 2, 3, 2, 4, 4, 2, 5, 2, 4], "5382": [4, 5, 5, 4, 3, 5, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 2, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 1, 4, 3, 4, 3, 4, 5, 4, 5, 5, 4, 3, 3, 4], "5511": [4, 3, 5, 5, 5, 4, 3, 5, 2, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 3, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 2, 4, 4, 5, 5, 5, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 5, 4, 4, 4, 5, 1, 5, 5, 3, 3, 4, 5, 5, 4, 5, 3, 4, 4, 3, 4, 4, 4, 1, 4, 5, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 3, 4, 3, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 4, 4, 3, 3, 5, 4, 3, 5, 3, 3, 5, 4, 3, 1, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 3, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 3, 1, 5, 5, 4, 4, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 3, 5, 5, 5, 4, 5, 4, 3, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 5, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 5, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 3, 5, 4, 1, 5, 5, 3, 4, 4, 2, 5, 4, 3, 5, 5, 5, 4, 4, 5, 3, 5, 4, 3, 2, 5, 4, 4, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 5, 4, 4, 1, 5, 1, 4, 5, 4, 3, 5, 5, 5, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 4, 3, 3, 4, 2, 3, 4, 5, 5, 5, 2, 3, 4, 5, 4, 5, 3, 5, 5, 4, 5, 5, 5, 4, 3, 5, 4, 5, 4, 3, 4, 5, 2, 3, 5, 4, 3, 5, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 4, 4, 2, 5, 5, 4, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 3, 4, 5, 4, 4, 5, 5, 4, 4, 3, 1, 2, 3, 5, 4, 5, 5, 4, 5, 3, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 4, 3, 4, 4, 5, 4, 4, 5, 3, 3, 5, 5, 4, 1, 5, 4, 4, 4, 1, 5, 3, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4], "3272": [4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 5, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 5, 4, 3, 5, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 2, 3, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 5, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 3, 3, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 3, 4, 1, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 5, 4, 3, 4, 3, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 4, 4, 5, 3, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4], "5166": [4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 4, 5, 5, 1, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 2, 5, 2, 1, 4, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 3, 2, 5, 5, 5, 3, 5, 3, 4, 4, 5, 5, 4, 4, 2, 5, 5, 3, 2, 5, 2, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 2, 5, 3, 5, 5], "2987": [5, 4, 4, 4, 3, 4, 4, 1, 2, 1, 5, 4, 4, 3, 5, 4, 4, 5, 3, 5, 4, 3, 4, 5, 3, 4, 4], "4987": [4, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 1, 4, 3, 4, 4, 1, 4, 3, 1, 4, 5, 4, 4, 3, 3, 3], "2652": [5, 5, 4, 2, 5, 4, 3, 4, 5, 4, 4, 5, 3, 5, 2, 5, 3, 5, 3, 5, 5, 4, 5, 3, 1, 5, 5, 3, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5], "39": [5, 5, 5, 5, 4, 2, 5, 4, 5, 2, 1, 4], "4556": [3, 4, 5, 4, 4, 3, 2, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 5, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 1, 5, 5, 4, 4, 2, 1, 5, 5, 1, 1, 4, 4, 4, 5, 4, 4, 5, 4, 3, 1, 3, 4, 4, 1, 1, 4, 2, 3, 5, 4, 5, 3, 5, 5, 4, 3, 2, 3, 4, 1, 1, 4, 4, 3, 4, 4, 5, 4, 5, 2, 4, 4, 3, 5, 4, 1, 1, 1, 4, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 4, 2, 5, 3, 3, 5, 4, 3, 5, 4, 4, 5, 1, 5, 3, 5, 4, 3, 4, 5, 4, 4, 5, 4, 2, 4, 4, 5, 4, 4, 3, 4, 1, 2, 4, 3, 5, 5, 4, 4, 5, 1, 1, 3, 3, 5, 4, 4, 1, 2, 5, 3, 4, 3, 1, 4, 5, 1, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 3, 5, 4, 5, 1, 2, 3, 4, 4, 4, 3, 4, 3, 5, 4, 2, 5, 3], "2325": [4, 4, 4], "2195": [5, 4, 5, 1, 4, 2, 5, 4, 4, 1, 1, 5, 2, 2, 3, 3, 5, 3, 2, 4, 4, 1, 1, 1, 4, 1, 1, 2, 3, 1, 4, 1, 1, 5, 2, 1, 1, 5, 3, 1, 5, 5, 4, 1, 2, 4, 4, 2, 4, 4, 5, 3, 2, 5, 2, 3, 4, 3, 5, 4, 4, 4, 5, 3, 4, 2, 4, 4, 1, 3, 1, 4, 2, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 1, 3, 5, 4, 1, 3, 3, 5, 1, 4, 5, 5, 4, 1, 1, 4, 2, 1, 5, 5, 1, 1, 1, 4, 3, 1, 4, 4, 5, 5, 3, 5, 2, 3, 5, 3, 5, 3, 4, 5, 3, 3, 2, 1, 5, 4, 1, 5, 5, 3, 5, 5, 4, 3, 1, 4, 4, 5, 4, 3, 4, 4, 4, 5, 4, 2, 4, 2, 4, 5, 4, 4, 1, 1, 1, 1, 4, 4, 4, 1, 1, 5, 1, 2, 4, 3, 3, 1, 3, 1, 4, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 1, 3, 5, 5, 5, 4, 4, 3, 3, 4, 1, 4, 1, 2, 3, 3, 3, 2], "886": [3, 3, 3, 2, 4], "5760": [1, 3, 5, 5, 1, 4, 5, 4, 5, 2, 4, 2, 4, 4, 5, 4, 2, 3, 5, 5], "5221": [5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 3, 5, 5, 4, 3, 5, 3, 5, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 4], "4608": [2, 4, 1, 5, 5, 2, 4, 3, 5, 4, 5, 3, 4, 5, 4, 4, 4, 4, 4, 3, 2, 3, 5, 4, 5, 4, 4, 4, 4, 4, 1, 4, 5, 5, 5, 5, 5, 1, 2, 4, 4, 4, 4, 5, 5, 3, 2, 2, 3, 4, 3, 4, 3, 2, 3, 2, 5, 3, 3], "1018": [2, 3, 3, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 5, 3, 5, 5, 3, 4, 2, 5, 4, 5, 4, 4, 4, 5, 5, 5, 3, 3, 5, 5, 4, 2, 3, 4, 3, 3, 5, 4, 4, 5, 3, 3, 4, 3, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 2, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 3, 5, 5, 5, 5, 3, 4, 3, 5, 5], "4404": [3, 4, 3, 3, 3, 1, 3, 3, 5, 5, 4, 2, 1, 1, 3, 2, 2, 2, 4, 5, 1, 3, 2, 4, 4, 3, 4, 2, 4, 2, 1, 5, 4, 1, 4, 2, 2, 4, 4, 3, 2, 2, 4, 2, 3, 5, 4, 2, 2, 3, 2, 2, 1, 3, 2, 2, 5, 5, 3, 2, 4, 2, 4, 4, 3, 3, 3, 5, 2, 2, 3, 3, 1, 1, 2, 3, 4, 2, 4, 5, 4, 3, 1, 5, 2, 3, 2, 3, 5, 2, 5, 3, 3, 5, 3, 1, 4, 3, 3, 1, 5, 3, 3, 5, 2, 3, 5, 4, 2, 2, 2, 2, 3, 2, 2, 3, 4, 4, 4, 2, 3, 4, 2, 1, 4, 4, 4, 4, 4, 4, 2, 2, 2, 5, 4, 5, 3, 2, 3, 2, 5, 3, 1, 5, 5, 4, 4, 4, 3, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 4, 5, 1, 1, 2, 5, 5, 2, 2, 3, 4, 2, 3, 2, 1, 2, 4, 4, 2, 2, 3, 4, 3, 2, 4, 5, 2, 5, 2, 3, 2, 2, 5, 3, 5, 3, 1, 2, 4, 2, 2, 5, 3, 3, 5, 3, 3, 2, 1, 2, 3, 1, 2, 4, 2, 5, 3, 2, 1, 3, 3, 1, 3, 1, 3, 4, 4, 3, 3, 2, 2, 2, 3, 2, 2, 5, 2, 2, 3, 3, 2, 3, 4, 3, 1, 4, 1, 4, 2, 2, 3, 3, 5, 4, 3, 2], "2666": [5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 3, 2, 5, 2, 3, 4, 2, 3, 3, 4, 5, 4, 5, 3, 4, 3, 5, 5, 3, 4, 4, 3, 4, 5, 4, 5, 4, 4, 5, 3, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 4, 1, 2, 4, 3, 5, 5, 3, 4, 5, 2], "4908": [2, 5, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 2, 3, 5, 5, 3, 4, 5, 5, 3, 4, 2, 2, 3, 4, 4, 3, 4, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 5, 4, 4, 2, 4, 2, 5, 4, 4, 5, 5, 5, 5, 2, 2, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 5, 5, 4], "2787": [3, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 3, 5, 4, 5, 3, 5, 4, 4, 2, 4, 5, 4, 3, 4, 5, 4, 4, 5, 3, 4, 4, 5, 5, 5, 5, 2, 5, 5, 3, 3, 2, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 3, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5], "2813": [2, 1, 4, 1, 5, 3, 5, 5, 5, 1, 4, 5, 4, 2, 2, 3, 3, 1, 3, 3, 5], "2997": [4, 4, 4, 3, 3, 5, 4, 3, 5, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 3, 3, 4, 5, 4, 5, 3, 5, 3, 4, 5, 4, 4, 5, 5, 4, 2, 4, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 2, 5, 4, 3, 4, 4, 4, 3, 3, 5, 5, 4, 5, 3, 4, 4, 4, 5, 4, 5, 1, 2, 3, 2, 5, 3, 3, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 3, 2, 4, 5, 4], "3017": [3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 2, 4, 4, 2, 2, 4, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 5, 4, 3, 4, 2, 3, 5, 4, 3, 2, 3, 2, 3, 3, 4, 2, 4, 4, 3, 5, 3, 2, 1, 2, 4, 3, 3, 3, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 3, 2, 3, 3, 3, 3, 2, 4, 2, 4, 2, 2, 3, 3, 4, 3, 3, 4, 2, 3, 1, 4, 2, 3, 3, 4, 3, 2, 4, 4, 3, 3, 3, 3, 2, 2, 5, 4, 4, 4, 3, 4, 2, 5, 2, 2, 3, 4, 3, 5, 2, 2, 4, 4, 5, 2, 5, 2, 3, 3, 3, 3, 2, 4, 2, 2, 3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 3, 3, 2, 4, 1, 3, 3, 4, 5, 4, 2, 1, 3, 3, 3, 4, 3, 2, 1, 3, 4, 5, 2, 3, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 2, 3, 2, 4, 2, 3, 3, 4, 4, 1, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 2, 4, 2, 4, 3, 3, 4, 3, 1, 3, 3, 4, 4, 4, 4, 3, 5, 3, 3, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 2, 5, 3, 2, 4, 3, 3, 3, 4, 3, 2, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 2, 5, 2, 4, 3, 4, 2, 4], "2408": [5, 3, 5, 4, 3, 3, 4, 3, 3, 3, 5, 4, 5, 5, 1, 4, 5, 4, 1, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 4, 3, 2], "1468": [5, 5, 2, 3, 5, 3, 4, 3, 5, 2, 4, 4, 4, 4, 2, 3, 2, 3, 4, 2, 3, 5, 2, 1, 5, 3, 3, 4, 3, 5, 5, 3, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 2, 5, 4, 4, 3, 5, 3, 3, 4, 5, 4, 5, 3, 4, 5, 1, 1, 3, 5, 4, 3, 3, 3, 3, 2, 5, 2, 4, 4, 4, 5, 3, 4, 3], "1556": [3, 4, 3, 5, 3, 3, 3, 4, 3, 4, 4, 4, 5, 2, 2, 3, 5, 5, 4, 3, 4, 1, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 4, 2, 5, 1, 3, 1, 2, 5, 3, 5, 2, 3, 4, 5, 4, 1, 5, 4, 4, 5, 2, 4, 5, 3, 4, 4, 4, 1, 4, 2, 2, 4, 3, 4, 4, 3, 5, 3, 3, 3, 4, 3, 4, 2, 4, 2, 1, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 1, 4, 2, 2, 4, 3, 3, 4, 4, 3, 4, 2, 3, 4, 2, 3, 4, 3, 3, 4, 2, 2, 5, 5, 5, 4, 3, 4, 3, 3, 4, 4, 3, 1, 5, 3, 2, 2, 2, 3, 3, 5, 1, 5, 5, 4, 3, 3, 2, 3, 3, 2, 4, 4, 5, 2, 2, 3, 3, 3, 4, 5, 4, 3, 2, 4, 3, 2, 3, 4, 3, 3, 4, 4, 2, 1, 2, 3, 4, 3, 3, 2, 3, 3, 4, 4, 4, 1, 2, 2, 3, 3, 4, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 3, 3, 3, 4, 3, 2, 3, 2, 3, 3, 3, 3, 5, 3, 2, 5, 1, 1, 1, 1, 4, 3, 3, 5, 3, 3, 3, 4, 5, 3, 4, 4, 2, 5, 2, 4, 3, 3, 4, 3, 2, 3, 5, 3, 2, 1, 5, 4, 3, 2, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 2, 3, 2, 2], "1282": [5, 5, 4, 3, 4, 3, 5, 4, 3, 4, 5, 4, 5, 3, 3, 5, 4, 5], "1754": [4, 2, 1, 4, 4, 4, 5, 5, 5, 1, 2, 5, 5, 4, 3, 5], "628": [5, 4, 4, 3, 4, 4, 3, 4, 3, 5, 5, 5, 3, 3, 4, 4, 5, 5, 1, 4, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4], "751": [4, 5, 5, 4, 4, 4, 4, 2, 4, 4, 2, 4, 4, 5, 4, 5, 4, 4], "1245": [4, 5, 4, 5, 5, 4, 4, 5, 4, 5, 4, 3, 3, 4, 5, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 4], "3568": [5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 3, 3, 5, 5, 3, 4, 5, 5, 4, 2, 3, 5, 5, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 4, 3, 5, 3, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 3, 5, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 4, 4, 3, 3, 5, 5, 4, 4, 4], "3423": [5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 3, 5, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 4, 2, 1, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 3, 3, 4, 5, 5, 3, 5, 3, 4, 3, 4, 3, 5, 2, 4, 4, 4, 4, 3, 4, 5, 5, 3, 4, 1, 3, 2, 4, 5, 3, 3, 5, 5, 4, 4, 5, 2, 3, 5, 5, 5, 5, 4, 4, 5, 3, 5, 4, 4, 5, 5, 5, 3, 5, 4, 4, 4, 3, 3, 5, 4, 5, 4, 2, 3, 4, 3, 3, 4, 5, 4, 5, 3, 4, 3, 5, 2, 3, 4, 4, 4, 3, 3, 3, 2, 3, 2, 5, 5, 2, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 2, 3, 1, 3, 2, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 4, 4, 4, 2, 4, 5, 5, 3, 4, 4, 4, 5, 2, 5, 5, 4, 4, 5, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 5, 3, 5, 4, 4, 5, 5, 5, 3], "1374": [5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 3, 4, 4, 3, 2, 3, 3, 5, 4, 4, 3, 4, 5, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 3, 3, 5, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 3, 4, 5, 4, 3, 5, 4, 3, 4, 4, 5, 4, 5, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4], "1953": [4, 5, 5, 5, 3, 5, 2, 4, 5, 4, 5, 5, 5, 4, 3, 1, 2, 1, 4, 4, 3], "2135": [5, 2, 2, 5, 4, 4, 4, 2, 4, 5, 4, 5, 4, 5, 4, 3, 4, 2, 5, 2], "3812": [4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 2, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 5, 5, 3, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3], "5531": [5, 3, 5, 4, 3, 3, 5, 4, 3, 5, 3, 3, 4, 5, 3, 5, 4, 5, 4, 4, 4, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 5, 2, 3, 5, 4, 2, 4, 4, 5, 4, 3, 4, 3, 4, 4, 3, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 3, 4, 4, 5, 5, 5, 3, 5, 5, 5, 4, 5, 4, 3, 4, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 2, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 4, 3, 4, 4, 5, 5, 3, 4, 4, 4, 3, 1, 3, 3, 2], "4770": [4, 3, 5, 4, 4, 4, 4, 3, 4, 5, 1, 4, 2, 4, 4, 2, 3, 4, 3], "3354": [3, 3, 2, 3, 3, 3, 2, 3, 3, 4, 1, 4, 3, 4, 3, 2, 3, 2, 4, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 4], "1203": [4, 5, 4, 3, 4, 4, 2, 5, 2, 2, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 5, 4, 3, 5, 4, 4, 4, 5, 4, 5, 3, 1, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 3, 5, 3, 4, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 4, 3, 2, 4, 2, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 3, 4, 4, 2, 3, 4, 3, 4, 3, 4, 4, 4, 5, 3, 4, 2, 4, 3, 3, 4, 4, 3, 1, 4, 4, 4, 3, 5, 3, 3, 5, 4, 3, 4, 5, 3, 5, 4, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 4, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 3, 4, 3, 2, 4, 5, 4, 2, 5, 3, 4, 4, 4, 4, 3, 4, 3, 5, 4, 3, 5, 4, 5, 4, 4, 2, 5, 2, 5, 4, 5, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 5, 3, 4, 3, 3, 3, 4, 5, 4, 3, 5, 3, 2, 5, 3, 4, 5, 5, 5, 4, 3, 4, 3, 3, 1, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 4, 3, 5, 3, 2, 4, 1, 3, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 5, 4, 3, 3, 5, 3, 3, 4, 3, 4, 5, 3, 5, 4, 4, 3, 3, 4, 2, 1, 3, 4, 3, 4, 3, 5, 3, 4, 5, 3, 3, 5, 3, 5, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 2, 4, 3, 5, 4, 4, 5, 4, 4, 3, 4, 2, 5, 4, 4, 3, 2, 3, 4, 5, 3, 4, 4, 5, 4, 4, 3, 1, 4, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 2, 3, 3, 5, 3, 4, 4, 5, 3, 5, 5, 3, 5, 4, 2, 4, 4, 4, 2, 5, 3, 5, 5, 4, 5, 4, 3, 1, 4, 4, 5, 4, 3, 4, 4, 3, 3, 4, 2, 3, 3, 4, 5, 4, 4, 3, 4, 3, 4, 3, 4, 3, 1, 3, 4, 5, 4, 5, 4, 5, 4, 3, 5, 3, 3, 5, 5, 4, 3, 3, 3, 2, 4, 3, 3, 5, 3, 5, 5, 4, 3, 3, 3, 5, 3, 5, 3, 5, 3, 3, 5, 5, 5, 3, 4, 3, 4, 5, 3, 5, 4, 5, 4, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 5], "3477": [4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 4, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 1, 5, 3, 4, 4, 3, 5, 4, 4, 3, 3, 5, 4, 2, 3, 3, 4, 5, 4, 5, 2, 2, 3, 2, 5, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 4, 5, 5, 4, 4, 2, 3, 5, 3, 5, 3, 5, 4, 4], "2005": [4, 1, 3, 1, 5, 4, 3, 1, 2, 1, 4, 1, 2, 2, 2, 5, 4], "3503": [5, 5, 5, 4, 3, 5, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 3, 5, 5, 3, 3, 4, 4, 2, 5, 5, 4, 5, 5, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 3, 5, 3, 3, 4, 5, 4, 2, 4, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 3, 3, 5, 4, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 5, 1, 1, 5, 5, 2, 3, 3, 2, 5, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 2, 5, 5, 3, 3, 5, 2, 5, 5, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 5, 5, 5, 4, 5, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 5, 3, 4, 3, 4, 4, 3, 5, 3, 3, 4, 5, 4, 4, 5, 4, 4, 2, 4, 3, 4, 4, 1, 4, 5, 5, 5, 5, 5, 5, 4, 4, 1, 5, 3, 5, 5, 5, 3, 3, 5, 4, 3, 4, 3, 4, 3, 4, 3, 3, 5, 5, 3, 4, 5, 3, 2, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 2, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 3, 4, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 2, 5, 5, 2, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 3, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 3, 5, 3, 5], "398": [5, 5, 3, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 2, 5, 5, 4, 1, 4, 5, 3, 2, 5, 3, 4, 5, 3, 5, 5, 3, 4, 4, 4, 3, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 3, 4, 5, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 4, 3, 2, 3, 5, 4, 3, 4, 5, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 5, 4, 1, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 5, 3, 2, 3, 5, 3, 4, 4, 5, 4, 5, 5, 3, 4, 4, 4, 5, 4], "2087": [5, 5, 4, 4, 2, 2, 4, 4, 3, 4, 5, 4, 4, 5, 4, 3, 4, 5, 2, 4, 2, 3, 2, 4, 2, 2, 3, 4, 3, 5, 4, 3, 4, 3], "1888": [3, 4, 2, 4, 3, 5, 2, 3, 5, 5, 4, 5, 5, 4, 2, 4, 4, 4, 3, 4, 1, 4, 1, 5, 3, 3, 4, 5, 2, 3, 4, 3], "3584": [5, 1, 2, 4, 4, 4, 2, 1, 3, 3, 3, 3, 2, 4, 4, 4, 4, 1, 3, 4, 2, 4, 4, 1, 5, 3, 3, 1, 3, 3, 2, 4, 1, 5, 5, 4, 1, 5, 3, 3, 5, 5, 1, 4, 1], "3679": [1, 3, 1, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 5, 5, 4, 3, 1, 5, 4, 4, 4, 5, 5, 4, 3, 4, 5, 5, 3, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 3, 4, 3, 3, 5, 4, 1, 4, 4, 3, 4, 4, 3, 1, 5, 2, 4, 4, 4, 3, 1, 5, 4, 1, 4, 4, 4, 5, 1, 1, 1, 4, 3, 3, 4, 2, 5, 2, 1, 4, 5, 4, 1, 5, 4, 5, 5, 4, 1, 3, 5, 3, 5, 3, 4, 1, 4, 3, 3, 4, 4, 1, 4, 1, 5, 4, 1, 4, 1, 3, 5, 4, 4, 1, 3, 4, 5, 1, 5, 4, 3, 4, 4, 4, 2, 4, 5, 4, 1, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 2, 4, 4, 1, 5, 3, 1, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 5, 5, 4, 1, 1, 5, 4, 4, 3, 1, 5, 1, 1, 4, 5, 2, 5, 4, 4, 4, 3, 4, 3, 5, 1, 5, 1, 4, 4, 4, 4, 3, 4, 4, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 4, 4, 4, 3, 5, 4, 4, 5, 4, 4, 5, 2, 1, 5, 3, 4, 1, 3, 3, 4, 2, 4, 3, 1, 4, 4, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 1, 1, 1, 4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 1, 4, 3, 4, 3, 1, 1, 5, 4, 1, 4, 3, 4, 5], "253": [4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 1, 4, 5, 4, 4, 4, 4, 5, 4, 1, 4, 5, 5, 4, 3, 2, 3, 4, 3, 4, 4], "4355": [1, 2, 4, 4, 2, 4, 3, 4, 4, 3, 5, 1, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 5, 5, 5, 2, 4, 2, 4, 5, 5, 5, 2, 4, 5, 3, 3, 5, 3, 4, 2, 4, 5, 4, 4, 3, 5], "4757": [5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 4, 5, 4, 5, 4, 3, 4, 3, 5, 3, 4, 5, 5, 3, 3, 1, 5, 4], "3975": [5, 4, 4, 3, 3, 4, 1, 4, 3, 3, 5, 4, 4, 3, 4, 4, 3, 2, 4, 5, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 5, 3, 4, 3, 4, 4, 4, 5, 3, 4, 3, 4, 4, 5, 4, 2, 3, 4, 3, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 4, 3, 3, 3, 2, 5, 3, 2, 4, 4, 2, 5, 4], "1871": [3, 4, 5, 5, 4, 4, 3, 2, 3, 5, 5, 5, 5, 3, 3, 2, 4, 2, 2, 5, 3, 2, 5, 2, 3, 3, 2, 4, 2, 3, 3, 2, 4, 4, 5, 2, 2, 3, 2, 3, 3, 3, 5, 3, 3, 5, 4, 5, 5, 3, 3, 4, 5, 4, 5, 3, 5, 4, 5, 3, 5, 2, 4, 1, 5, 3, 5, 4, 3, 5, 5, 4, 5, 3, 5, 4, 3, 2, 5, 3, 5, 4, 3, 4, 3, 1, 5, 5, 5, 3, 5, 4, 5, 4, 3, 5, 5, 3, 5, 5, 4, 3, 3, 5, 3], "4963": [1, 3, 3, 4, 4, 4, 1, 5, 1, 2, 5, 4, 2, 5, 5, 3, 3, 3, 1, 3, 3, 5, 5, 4, 4, 5, 4, 2, 5, 5, 5, 5, 4, 2, 3, 5, 3, 2, 4, 5, 4, 2, 5, 3, 3, 4, 4, 1, 4, 3, 4, 1, 3, 3, 2, 5, 5, 4, 2, 5, 4, 3, 3, 2, 5, 4, 2, 1, 2, 3, 5, 3, 3, 5, 3, 4, 4, 3, 3, 5, 4, 4, 4, 5, 2, 4, 4, 2, 4, 5, 2, 5, 4, 5, 4, 5, 3, 4], "94": [3, 3, 3, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 2, 5, 4, 3, 5, 4, 4], "3592": [4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 3, 4, 3, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 4, 5, 3, 4, 5, 3, 5, 4, 3, 3, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 1, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 2, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 5, 4, 5, 4, 3, 5, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 5, 4, 5, 5, 3, 4, 2, 5, 4, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 4, 5, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5], "661": [5, 4, 3, 5, 5, 5, 5, 3, 4, 4, 5, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 3, 5, 5, 5], "459": [3, 5, 3, 3, 4, 3, 2, 3, 4], "3785": [3, 2, 3, 3, 5, 2, 4, 4, 4, 3, 5, 4, 3, 3, 2, 2, 2, 4, 5, 3, 1, 4, 4], "1736": [2, 4, 5, 3, 3, 3, 4, 3, 5, 4, 3, 3, 1, 4, 2, 4, 3, 4, 4, 5, 3, 3, 2, 1, 1, 4, 2, 4, 2, 4, 2, 3, 1, 5, 3, 4, 4, 4, 5, 3, 1, 2, 4, 3, 4, 4, 3, 5, 3, 5, 3, 4, 1, 3, 1, 3, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 2, 4, 3, 4, 3, 3, 1, 3, 3, 2, 3, 4, 1, 4, 4, 3, 2, 2, 5, 4, 5, 4, 3, 4, 3, 2, 3, 5, 3, 3, 3, 1, 3, 3, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 1, 2, 4, 4, 2, 4, 5, 4, 4, 1, 2, 5, 1, 3, 1, 3, 3, 2, 5, 4, 5, 1, 1, 3, 4, 4, 4, 1, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 3, 5, 1, 2, 4, 2, 2, 3, 5, 3, 3, 3, 3, 5, 3, 5, 5, 3, 1, 3, 5, 1, 4, 5, 3, 4, 3, 5, 1, 3, 3, 4, 3, 3, 3, 4, 3, 5], "2778": [5, 4, 3, 4, 4, 3, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 1, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 1, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 3, 5, 5, 3, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 2, 4, 4], "5509": [3, 2, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 5, 4, 3, 2, 3, 3, 4, 1, 2, 3, 3, 5, 2, 2, 3, 5, 4, 4, 4, 3, 4, 2, 5, 4, 2, 3, 4, 3, 3, 3, 2, 5, 3, 5, 5, 2, 4, 4, 3, 4, 3, 3, 3, 2, 1, 1, 4, 3, 4, 2, 3, 5, 4, 5, 2, 2, 5, 5, 3, 2, 4, 5, 2, 4, 4, 4, 5, 3, 2, 3, 3, 4, 2, 1, 5], "5707": [5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 1, 4, 4, 5, 4, 4, 4, 5, 4, 1, 2, 5, 5, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 3, 5, 5, 3, 4, 4, 5, 4, 5, 5, 5, 2, 3, 5, 4, 4, 4, 5, 4, 5], "5631": [4, 4, 4, 5, 5, 5, 5, 3, 4, 3, 5, 3, 3, 4, 4, 2, 4, 5, 5, 5, 3, 4, 4, 5, 3, 4, 5, 5, 5, 5, 2, 4, 5, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 4, 5, 4, 4], "2211": [3, 4, 3, 2, 5, 5, 3, 4, 4, 2, 3, 4, 4, 5, 3, 4, 5, 4, 3, 3, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 2, 4, 5, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 2, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 5, 4, 3, 4, 5, 5, 4, 4, 3, 4, 5, 4, 4, 3, 5, 4, 5, 3, 2, 5, 3, 4, 5, 4, 5, 4, 5, 4, 4, 1, 4, 4, 4, 4, 3, 2, 3, 4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 4, 3, 3, 5, 5, 4, 5, 4, 3, 5, 5, 4, 4, 2, 5, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 3, 4, 4, 4, 5, 4, 5, 3, 5, 5, 2, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 4, 3, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 4, 4, 3, 5, 2, 4, 5, 5, 4, 5, 4, 3, 5, 4, 4, 4, 3, 4, 5, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5], "5007": [4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 4], "3386": [5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 5, 4, 5, 4, 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 5, 3, 3, 4, 5, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 4, 5, 2, 4, 3, 4, 4, 5, 3, 2, 5, 5, 3, 5, 2, 3, 5, 4, 4, 4, 3, 4], "2810": [4, 4, 4, 5, 1, 2, 1, 5, 4, 4, 4, 5, 4, 4, 1, 5, 5, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 3, 4, 5, 5, 3, 2, 5, 3, 2, 4, 4, 4, 5, 5, 4, 2, 4, 3, 4, 2, 3, 3, 2, 5, 2, 5, 2, 4, 3, 5, 3, 3, 3, 5, 3, 4, 4, 2, 5, 1, 2, 4, 1, 4, 3, 3, 3, 3, 3, 3, 5, 1, 4, 4, 3, 3, 1, 5, 3, 4, 3, 4, 3, 5, 5, 4, 4, 4, 1, 2, 3, 4, 2, 3, 4, 4, 5, 3, 4, 3, 2, 5, 3, 4, 3, 3, 2, 1, 3, 3, 3, 4, 4, 3, 4, 5, 4, 3, 3, 3, 4, 3, 4, 3, 2, 4, 5, 5, 3, 3, 4, 2, 1, 5, 5, 4, 4, 3, 4, 5, 4, 1, 4, 2, 3, 3, 4, 3, 5, 5, 3, 4, 2, 2, 3, 3, 5, 4, 3, 4, 3, 3, 4, 3, 5, 1, 3, 3, 4, 1, 5, 4, 4, 4, 3, 3, 5, 3, 2, 4, 4, 3, 1, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 1, 4, 2, 4, 3, 5, 5, 5, 4, 2, 4, 4, 5, 3, 4, 3, 4, 5, 4, 4, 4, 3, 2, 3, 1, 2, 4, 5, 3, 3, 4, 5, 5, 5, 4, 2, 4, 3, 3, 5, 1, 4, 5, 4, 5, 4, 4, 3, 3, 5, 2, 5, 5, 4, 4, 5, 2, 3, 5, 4, 3, 5, 5, 3, 4, 3, 3, 3, 5, 3, 5], "2865": [4, 4, 3, 4, 3, 5, 4, 2, 4, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 2, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5], "1987": [3, 4, 3, 3, 4, 5, 4, 3, 4, 5, 3, 1, 4, 2, 3, 3, 3, 5, 3, 5, 4, 3, 3, 5, 5, 3, 3, 2, 4, 4, 1, 3, 4, 5, 4], "3579": [4, 3, 3, 4, 4, 3, 3, 5, 3, 3, 3, 4, 4, 4, 3, 5, 3, 4, 3, 1, 4, 3, 1, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 4, 2, 2, 3, 5, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 4, 2, 4, 4, 2, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 2, 2, 4, 5, 2, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 2, 3, 3, 4, 3, 3, 1, 4, 2, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 5, 4, 2, 4, 3, 4, 3, 4, 3, 5, 3, 3, 3, 3, 5, 4, 4, 4, 5, 3, 3, 5, 2, 2, 1, 5, 3, 4, 5, 3, 3, 5, 3, 3, 3, 4, 3, 5, 5, 3, 3, 4, 3, 3, 4, 3, 3, 3], "3277": [4, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 2, 3, 4, 2, 4, 5, 3, 4, 5, 4, 5, 3, 5, 5, 2, 5, 3, 5, 5, 3, 5, 3, 4, 2, 3, 4, 4, 5, 5, 5, 3, 3, 2, 5, 3, 5, 3, 5, 3, 4, 5, 5, 4, 1, 2, 4, 2, 5, 5, 4, 5, 2, 5, 3, 3, 4, 2, 5, 4, 4, 4, 5, 4, 5, 4, 2, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 5, 4, 5], "4485": [4, 4, 3, 3, 5, 4, 3, 4, 4, 3, 3, 4, 4, 5, 4, 1, 5, 4, 4, 4, 4, 3, 2, 3, 4, 4, 3, 2, 5, 4, 4, 3, 4, 4, 1, 4, 3, 2, 4, 3, 3, 2, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 3, 1, 3, 4, 1, 4, 3, 5, 3, 3, 4, 3, 4, 1, 5, 1, 3, 4, 2, 3, 4, 3, 2, 5, 4, 5, 5, 4, 2, 2, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 5, 3, 5, 2, 2, 4, 5], "4712": [3, 3, 2, 4, 2, 3, 2, 4, 4, 3, 3, 1, 4, 3, 2, 4, 3, 4, 2, 4, 3, 2, 4, 2, 3, 3, 2, 4, 4, 3, 3, 2, 4, 2, 4], "2670": [4, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 3, 3, 3, 3, 5, 3, 5, 5, 3, 4, 3, 4, 5, 3, 4, 3, 3, 5, 4, 4, 3, 4, 4, 5, 3, 5, 4, 4, 3, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 5, 3, 4, 2, 5, 2, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 5, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 3, 4, 3, 3, 3, 1, 4, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 2, 4, 4, 5, 3, 3, 4, 4, 4, 3, 3, 1, 2, 3, 3, 5, 3, 3, 5, 3, 5, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 5, 3, 4, 3, 5, 3, 4, 2, 4, 3, 4, 3, 3, 4, 5, 5, 3, 3, 5, 4, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 3, 2, 4, 3, 4, 3, 3, 3, 5, 3, 3, 5, 3, 3, 2, 4, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 4, 3, 4, 4, 5, 3, 5, 4, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 3, 5, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 1, 4, 5], "26": [3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 1, 3, 2, 3, 3, 4, 5, 3, 4, 5, 4, 2, 2, 2, 3, 3, 3, 3, 2, 3, 5, 4, 2, 3, 2, 4, 4, 2, 3, 4, 3, 3, 3, 2, 3, 4, 2, 3, 1, 3, 3, 4, 3, 3, 4, 3, 3, 3, 5, 3, 2, 1, 2, 2, 3, 5, 3, 5, 3, 2, 4, 2, 3, 4, 2, 3, 3, 4, 1, 3, 4, 4, 3, 3, 2, 3, 4, 2, 3, 2, 3, 4, 2, 3, 5, 2, 3, 1, 3, 1, 3, 3, 2, 3, 1, 4, 4, 3, 3, 2, 3, 5, 3, 3, 1, 4, 2, 1, 3, 1, 3, 3, 3, 3, 3, 3, 3, 5, 2, 3, 3, 3, 3, 1, 3, 3, 4, 2, 3, 4, 4, 3, 2, 3, 2, 3, 4, 3, 1, 2, 2, 4, 1, 1, 4, 3, 3, 4, 3, 3, 1, 5, 4, 3, 3, 3, 3, 3, 2, 5, 3, 4, 2, 4, 2, 2, 3, 1, 4, 5, 3, 5, 2, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 3, 4, 3, 2, 5, 3, 2, 3, 3, 2, 3, 4, 5, 3, 2, 1, 3, 1, 1, 3, 5, 2, 5, 4, 4, 3, 2, 1, 3, 3, 3, 1, 1, 2, 2, 2, 2, 5, 3, 1, 3, 3, 5, 3, 2, 4, 4, 2, 5, 5, 2, 1, 4, 2, 3, 2, 2, 2, 1, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 4, 2, 2, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 2, 3, 1, 3, 4, 5, 3, 1, 3, 4, 2, 5, 5, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 2, 3, 3, 4, 5, 3, 1, 3, 2, 3, 5, 3, 3, 2, 2, 2, 3, 2, 3, 4, 3, 3, 3, 2, 3, 2, 3, 3, 3, 5, 5, 4, 2, 2, 2, 2, 4, 3, 3], "2304": [4, 5, 4, 3, 3, 3, 4, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 2, 3, 5, 4, 3, 3, 5, 4, 4, 5, 3, 5, 4, 1, 4, 3, 4, 2, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 3, 5, 4, 3, 4, 3, 4, 4, 5, 4, 3, 3, 3, 3, 5, 3, 2, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 5, 2, 3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 2, 3, 4, 3, 4, 3, 3, 4, 1, 2, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 5, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 4, 3, 3, 3, 5, 3, 4, 5, 5, 2, 5, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 3, 5, 4, 4, 3, 4, 3, 2, 5, 4, 4, 4, 3, 5, 5, 3, 4, 3, 5, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 3, 4, 3, 3, 3, 4, 4, 3, 5, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 3, 4, 3, 4, 4, 3, 5, 4, 2, 4, 4, 4, 4, 4, 2, 4, 3, 5, 3, 5, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 5, 3, 2, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 5, 3, 4, 3, 5, 1, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 2, 1, 1, 1, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 2, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 2, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 3, 5, 5, 5, 4, 4, 5, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 5, 2, 3, 4, 5, 4, 4, 4, 5, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 2, 3, 5, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 5, 3, 3, 4], "1662": [4, 4, 4, 4, 5, 3, 4, 2, 5, 4, 3, 4, 1, 2, 5, 2, 4, 2], "6": [5, 4, 4, 5, 5, 4, 5, 4, 4, 2, 5, 5, 4, 3, 4, 4, 4, 3, 3, 4, 5, 4, 3, 4, 4, 4, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 4, 5, 4, 5, 5, 3, 3, 3, 5, 4, 4, 4, 4, 4], "4099": [4, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 5, 3, 4, 3, 5, 4, 4, 4, 4, 5, 2, 4, 4, 3, 5, 3, 1, 4, 4, 4, 3, 3, 4, 3, 3, 4, 5, 2, 3, 4, 5, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 3, 4, 3], "3171": [5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 2, 3, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 4, 5, 4, 5, 5, 4, 5, 3, 4, 5, 4, 3, 5, 4, 4, 5, 3, 5, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 3, 2, 4, 4, 4], "3674": [2, 5, 5, 5, 4, 4, 5, 4, 2, 4, 4, 5, 5, 3, 4, 4, 5, 3, 3, 3, 1, 4, 1, 4, 4, 1, 5, 5, 5, 4, 4, 1, 4, 4, 4, 2, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 5, 2, 2, 3, 2, 2, 2, 3, 4, 5, 3, 3, 3, 5, 4, 5, 5, 5, 4, 5, 1, 2, 4, 5, 4, 5, 5, 3, 5, 5, 5], "639": [3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 4, 4, 2, 3, 3, 5, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 2, 4, 3, 4, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 2, 3, 2, 4, 3, 3, 3, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 1, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4], "4236": [4, 5, 4, 1, 5, 4, 5, 1, 5, 4, 3, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 3, 2, 5, 5], "2209": [4, 5, 2, 5, 3, 4, 4, 3, 5, 2, 3, 4, 3, 4], "5409": [3, 3, 4, 4, 3, 5, 1], "3378": [5, 3, 4, 4, 2, 4, 4, 5, 4, 4, 5, 4, 4, 4, 1, 4, 4, 5, 4, 5, 4, 3, 5, 3, 5, 5, 4, 2, 4, 2, 1, 4, 3, 4, 5, 3, 3, 1, 4, 2, 3, 4, 4, 3, 2, 4, 5, 4, 4, 2, 4, 5, 3, 4, 4, 3, 3, 4, 5, 2, 3, 3, 2, 2, 3, 2, 5, 1, 3, 3, 5, 4, 3, 5, 3, 4, 5, 1, 2, 2, 4, 5, 4, 4, 3, 5, 5, 1, 3, 5, 4, 5, 3, 2, 2, 1, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 3, 3, 4, 5, 4, 4, 2, 2, 5, 5, 4, 4, 3, 5, 3, 1, 4, 2, 4, 4, 1, 4, 1, 4, 5, 3, 3, 3, 3, 2, 4, 4, 5, 4, 3, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 5, 1, 5, 4, 1, 4, 2, 3, 4, 5, 3, 4, 4, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 4, 3, 4, 5, 5, 4, 5, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 1], "5265": [3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 4, 2, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 5, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 5, 3, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 4, 3, 3, 4, 4, 1, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4], "42": [3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 3, 5, 3, 3, 5, 4, 5, 3, 4, 4, 5, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 3, 4, 4, 1, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 5, 5, 4, 3, 4, 5, 4, 3, 3, 5, 3, 5, 3, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 5, 3, 4, 4, 3, 2, 3, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 3, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 3, 4, 4, 2, 2, 4, 3, 4, 3, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 5, 3, 4, 5, 4, 4, 4, 5, 3, 4, 4, 4, 5, 3, 4, 3, 3, 5, 3, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 3, 2, 3, 3, 4, 4, 5, 3, 4, 3, 4, 3, 4, 3, 5, 3, 5, 4, 3, 5, 4], "4581": [4, 5, 5, 3, 3, 4, 4, 2, 3, 5, 3, 2, 4, 5, 5, 4, 4, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 3, 2, 2, 3, 5, 1, 3, 3, 3, 3, 4, 2, 1, 1, 1, 1, 5, 3, 5, 1, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 3, 3, 4, 5, 5, 5, 4, 3], "1497": [5, 4, 2, 4, 3, 3, 3, 5, 3, 3, 5, 4, 4, 4, 4, 4, 2, 5, 5, 3, 5, 5, 3, 4, 4, 4, 5, 4, 4, 4, 2, 4, 4, 4, 5, 4, 5, 4, 4, 3, 4, 3, 5, 4, 2, 4, 3, 4, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 3, 5, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 5, 3, 4, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 4, 5, 4, 2, 3, 3, 3, 4, 3, 3, 4, 2, 5, 4, 3, 4, 4, 4, 5, 3, 2, 4, 3, 3, 5, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 2, 4, 5, 5, 1, 2, 5, 4, 5, 3, 3, 5, 3, 2, 2, 2, 4, 3, 3, 5, 3, 3, 3, 5], "1900": [4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 3, 4, 4], "5039": [3, 2, 3, 2, 5, 3, 3, 2, 3, 3, 4, 5, 3, 4, 1, 5, 2, 3, 1, 3, 2, 5, 3, 4, 1, 2, 1, 3, 1, 2, 2, 3, 3, 2, 2, 3, 1, 3, 1, 3, 3, 4, 3, 4, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 4, 3, 1, 3, 5, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 3, 1, 1, 4, 3, 1, 1, 2, 2, 3, 1, 3, 2, 4, 3, 3, 4, 1, 2, 1, 1, 1, 2, 5, 3, 3, 3, 3, 1, 3, 4, 5, 3, 3, 5, 4, 1, 3, 3, 4, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1, 3, 3, 1, 1, 1, 4, 3, 4, 5, 1, 4, 2, 2, 2, 3, 3, 2, 4, 3, 2, 3, 2, 3, 2, 1, 2, 1, 4, 1, 1, 3, 1, 1, 2, 3, 1, 3, 1, 1, 3, 3, 2, 1, 3, 2, 1, 3, 3, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 4, 3, 3, 4, 4, 1, 1, 3, 5, 2, 1, 3, 2, 1, 1, 4, 3, 1, 4, 3], "4044": [4, 5, 5, 5, 4, 5, 3, 3, 4, 5, 5, 4, 5, 5, 3, 5, 3, 5, 4, 5, 2, 3, 3, 5, 5, 3, 4, 4, 3, 3, 3, 3, 5, 5, 4, 4, 5, 3, 4, 5], "4008": [3, 1, 1, 3], "697": [2, 3, 3, 4, 4, 1, 4, 3, 2, 5, 4, 3, 2, 3, 5, 5, 4, 4, 3, 4, 3, 3, 3, 4, 5, 3, 4, 5, 4, 5, 4, 3, 4, 3, 4, 3, 5, 5, 2, 4, 3, 3, 5, 5, 4, 5, 5, 4, 3, 5, 4, 3, 5, 5, 4, 4, 5, 2, 5, 5, 5, 3, 4, 3, 3, 5, 4, 4, 3, 5, 4, 2, 4, 5, 4, 3, 3, 4, 5, 3, 3, 5, 4, 5, 3, 4, 2, 5, 3, 4, 5, 5, 3, 4, 4, 5, 5, 3, 4, 3, 5, 4, 4, 4, 5, 5, 3, 5, 5, 3, 4, 3], "5333": [3, 4, 3, 3, 4, 4, 4, 4, 3, 4, 1, 4, 4, 4, 1, 4, 5, 4, 4, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 2, 4, 3, 3, 5, 4, 4, 5, 5, 4, 3, 5, 3, 3, 4, 4, 5, 5, 5, 4, 5, 3, 4, 3, 4, 3, 4, 3, 1, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 4, 3, 4, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 1, 3, 4, 4, 3, 3, 4, 3, 5, 4, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 1, 4, 4, 3, 4, 4, 3, 5, 3, 3, 4, 4, 3, 3, 4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 1, 3, 2, 4, 4, 3, 4, 3, 5, 5, 3, 3, 3, 5, 3, 2, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 4, 1, 3, 4, 2, 3, 4, 5, 4, 2, 1, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 4, 3, 3, 4, 3, 5, 3, 5, 3, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 5, 4, 1, 3, 3, 4, 5, 4, 4, 5, 3, 4, 3, 3, 5, 5, 4, 3, 4, 5, 3, 5, 4, 1, 1, 4, 1, 4, 3, 4, 2, 5, 4, 3, 4, 5, 3, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 2, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 3, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 4, 4, 5, 4, 5, 4, 3, 3, 2, 3, 4, 5, 3, 4, 5, 2, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 2, 3, 2, 3, 4, 4, 5, 3, 4, 3, 5, 3, 3, 5, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 2, 5, 5, 4, 4, 2, 3, 3, 4, 3, 4, 3, 2, 4, 1, 3, 5, 3, 3, 3, 3, 4, 3, 4, 5, 4, 4, 4, 2, 4, 4, 3, 3, 4, 3, 3, 5, 4, 5, 4, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 4, 2, 3, 3, 3, 3, 4, 3, 3, 4, 3, 5, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3, 5, 3, 3, 5, 4, 3, 3, 3, 3, 5, 3, 4, 3, 3, 2, 4, 3, 4, 4, 4, 5, 1, 4, 4, 4, 3, 5, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 4], "1444": [4, 3, 4, 5, 2, 5], "292": [3, 5, 4, 5, 4, 5, 4, 3, 3, 5, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 4, 5, 3, 3, 4, 4, 2, 3, 5, 5, 4], "3033": [4, 2, 4, 5, 5, 4, 5, 4, 4, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 5, 5, 5, 1, 5, 4, 4, 3, 3, 4, 5, 4, 1, 3, 5, 1, 5, 3, 2, 4, 2, 2, 1, 3, 5, 4, 3, 1, 4, 5, 5, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 3, 2, 4, 1, 1, 5, 5, 4, 3, 5, 2, 3, 3, 4, 1, 2, 5, 1, 3, 5, 4], "3307": [2, 5, 4, 3, 4, 3, 5, 2, 4, 3, 4, 4, 3, 4, 4, 2, 3, 4], "1788": [4, 3, 3, 5, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 2, 4, 2, 5, 4, 4, 4, 3, 2], "270": [3, 5, 3, 4, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 4, 1, 5, 5, 5, 5, 3, 4, 4, 3, 4, 3, 5, 5, 3, 5, 4, 4, 5, 3, 3, 4, 5, 3, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 3, 2, 5, 5, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 3, 5, 5, 5, 5, 4, 5, 4, 5, 5], "5577": [5, 4, 4, 4, 3, 2, 5, 2, 1, 3, 3, 4, 3, 4, 5, 3, 3, 5, 3, 1, 3, 3, 3, 3, 2, 3, 5], "878": [3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 1, 5, 4, 3, 5, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 4], "281": [5, 5, 5, 5, 3, 5, 5, 3, 4, 1, 1, 5, 2, 3, 5, 2, 5, 5, 5, 3, 5, 4, 3, 5, 3, 3, 3, 3, 4, 5, 4, 5, 4, 3, 4, 5, 2, 5, 3, 4, 4, 5, 4, 4, 4, 3, 5, 4, 4, 5, 1, 5, 2, 2, 4, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 4, 1, 3, 5, 5, 5, 4, 3], "5747": [1, 2, 4, 5, 4, 5, 4, 2, 4, 4, 2, 4, 4, 3, 5, 4, 5, 5, 1, 1, 4, 3, 2, 4, 5, 3, 1, 4, 4, 4, 5, 2, 4, 4, 3, 4, 4, 4, 3, 2, 4, 4, 3, 1, 5, 5, 4, 4, 4, 4, 2, 3, 4, 2, 3, 4, 1, 2, 2, 4, 2, 3, 2, 4, 5, 4, 1, 3, 1, 4, 1, 4, 4, 3, 4, 3, 5, 4, 1, 4, 4, 3, 2, 4, 2, 4, 2, 3, 4, 4, 4, 4, 3, 1, 5, 3, 4, 2, 2, 1, 3, 5, 4, 3, 3, 2, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 4, 4, 2, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 5, 4, 4, 2, 2, 2, 2, 4, 3, 1, 4, 1, 1, 2, 4, 4, 4, 3, 4, 3, 1, 3, 4, 4, 4, 5, 3, 2, 3, 5, 4, 3, 5, 3, 4, 4, 3, 2, 4, 5, 4, 4, 4, 2, 1, 5, 4, 4, 2, 4, 3, 3, 1, 4, 4, 4, 1, 3, 1, 1, 4, 1, 1, 5, 2, 3, 3, 4, 1, 1, 1, 1, 5, 1, 2, 1, 2, 3, 1, 1, 4, 3, 1, 5, 5, 4, 2, 4, 3, 5, 5, 4, 1, 5, 4, 5, 4, 4, 2, 5, 4, 4, 4, 5, 5, 2, 5, 5, 3, 4, 5, 3, 5, 1, 4, 5, 4, 3, 3, 4, 4, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 2, 2, 2, 2, 4, 4, 4, 2, 5, 2, 4, 4, 5, 4, 3, 5, 3, 5, 2, 1, 2, 1, 4, 3, 1, 2, 3, 2, 2, 1, 4, 2, 3, 4, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 4, 3, 2, 3, 1, 4, 4, 4, 2, 4, 4, 4, 2, 5, 2, 1, 4, 3, 3, 3, 3, 5, 3, 1, 4, 4, 3, 3, 3, 3, 4, 3, 1, 1, 5, 4, 3, 3, 5, 2, 1, 5, 4, 4, 3, 4, 2, 1, 2, 5, 1, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 2, 1, 4, 3, 2, 1, 3, 4, 4, 1, 2, 2, 2, 3, 4, 5, 4, 3, 5, 1, 4, 4, 2, 5, 4, 4, 4, 2, 1, 4, 5, 3, 4, 3, 3, 3, 1, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 2, 1, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 3, 4, 4], "4078": [5, 2, 1, 3, 5, 5, 3, 5, 4, 5, 2, 3, 2, 4, 3, 4, 3, 3, 3, 3, 3, 1, 2, 2, 3, 4, 4, 4, 4, 2, 5, 4, 3, 2, 3, 5, 3, 3, 4, 1, 2, 3, 2, 3, 3, 1, 4, 3, 4, 3, 3, 3, 2, 5, 2, 4, 4, 3, 4, 4, 4, 4, 3, 5, 2, 5, 4, 2, 5, 2, 3, 5, 2, 2, 4, 4, 3, 4, 3, 5, 5, 3, 1, 3, 2, 5, 3, 2, 3, 5, 3, 3, 4, 3, 3, 4, 3, 5, 4, 3, 2, 3, 3, 3, 4, 3, 5, 2, 5, 2, 4, 2, 2, 1, 4, 3, 3, 3, 3, 4, 3, 3, 1, 5, 3, 3, 5, 5, 3, 3, 1, 3, 3, 4, 3, 3, 3, 5, 3, 2, 4, 2, 4, 2, 3, 3, 3, 2, 4, 1, 3, 4, 5, 2, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 1, 3, 5, 1, 5, 4, 3, 2, 4, 4, 2, 2, 4, 2, 4, 2, 3, 5, 4, 4, 4, 4, 4, 2, 3, 5, 5, 4, 4, 3, 1, 4, 5, 4, 3, 2, 5, 3, 3, 3, 4, 4, 5, 3, 3, 4, 3, 3, 2, 3, 5, 2, 3, 4, 5, 5, 2, 3, 3, 5, 3, 5, 2, 4, 3, 1, 5, 5, 5, 5, 3, 5, 5, 2, 5, 3, 4, 5], "547": [5, 4, 4, 5, 5, 3, 4, 3, 3, 4, 5, 3, 3, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 4, 1, 2, 2, 5, 2, 3, 2, 3, 4, 4, 4, 5, 5, 5, 4, 5, 4, 3, 4, 4, 3, 5, 5, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3], "2220": [5, 5, 3, 5, 5, 5, 4, 2, 4, 5, 4, 5, 4, 5, 4, 4, 2, 5, 3], "3825": [4, 4, 2, 1, 5, 3, 1, 5, 4, 5, 2, 5, 2, 1, 4, 3, 5, 1, 2, 5, 4, 3, 5, 4, 5, 3, 3, 1, 4, 3, 3, 1, 4, 4, 3, 4, 3, 5, 4, 2, 1, 1, 4, 1, 3, 5, 5, 3, 2, 1, 5, 4, 3, 1, 5, 5, 5, 3, 3, 3, 5, 3, 1, 2, 4, 5, 5, 1, 3, 4, 3, 5, 4, 5, 3, 2, 2, 4, 5, 1, 2, 2, 4, 2, 2, 1, 2, 3, 4, 1, 1, 4, 3, 2, 2, 3, 3, 3, 2, 1, 4, 4, 3, 5, 4, 2, 5, 4, 3, 2, 3, 3, 2, 3, 2, 4, 1, 5, 4, 4, 1, 3, 1, 4, 2, 2, 1, 4, 3, 3, 2, 1, 3, 4, 1, 1, 3, 3, 1, 2, 1, 3, 4, 4, 2, 1, 1, 5, 1, 4, 2, 2, 3, 1, 4, 3, 4, 1, 1, 3, 5, 4, 1, 1, 2, 1, 5, 1, 2, 2, 2, 5, 2, 2, 2, 3, 5, 2, 4, 2, 5, 1, 3, 5, 2, 3, 3, 4, 3, 1, 3, 4, 2, 3, 1, 3, 2, 3, 2, 2, 1, 3, 3, 1, 3, 4, 5, 4, 1, 1, 2, 4, 1, 2, 5, 4, 5, 3, 4, 5, 1, 5, 4, 1, 3, 4, 4, 4, 2, 4, 4, 3, 4, 2, 2, 3, 4, 4, 4, 5, 2, 5, 1, 4, 2, 4, 5, 4, 4, 4, 2, 3, 4, 2, 4, 1, 2, 1, 5, 3, 1, 4, 1, 2, 2, 3, 3, 4, 3, 1, 3, 2, 1, 3, 3, 2, 2, 1, 2, 4, 1, 1, 4, 1, 1, 1, 3, 3, 1, 5, 4, 3, 1, 2, 3, 3, 4, 4, 5, 4, 2, 4, 2, 3, 1, 4, 4, 4, 1, 3, 2, 3, 5, 4, 4, 5, 1, 1, 2, 3, 5, 2, 4, 1, 1, 1, 1, 3, 4, 3, 2, 1, 1, 2, 2, 4, 4, 3, 1, 4, 3, 4, 1, 3, 3, 2, 4, 5, 4, 5, 4, 3, 3, 3, 1, 3, 4, 3, 2, 1, 4, 1, 3, 4, 3, 2, 2, 3, 3, 4, 2, 1, 5, 2, 1, 1, 4, 3, 1, 2, 2, 1, 4, 1, 3, 5, 3, 3, 5, 4, 4, 1, 2, 3, 4, 3, 5, 4, 4, 5, 2, 3, 1, 4, 3, 2, 5, 1, 4, 1, 4, 2, 2, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 2, 3, 4, 5, 1, 4, 3, 5, 4, 5, 5, 3, 5, 4, 5, 4, 2, 4, 2, 4, 1, 3, 5, 2, 4, 3, 1, 4, 5, 2, 5, 1, 2, 4, 4, 1, 4], "2851": [3, 3, 4, 4, 3, 4, 3, 2, 3, 3], "2238": [2, 5, 4, 1, 4, 5, 3, 4, 5, 3, 2, 3, 5, 5, 3, 5, 3, 5, 3, 5, 4, 1, 5, 4, 2, 3, 2, 3, 5, 5, 5, 3, 4, 5, 4, 5, 4, 4, 5, 1, 3, 2, 3, 5, 2, 4, 5, 4, 4, 3, 5, 5, 3, 3, 4, 5, 1, 3, 4, 2, 5, 3, 4, 5, 3, 2, 4, 5, 5, 4], "1408": [5, 4, 2, 4, 4, 2, 3, 2, 4, 5, 2, 2, 4, 3, 2, 1, 1, 2, 2, 3, 4, 3, 4, 4, 3, 3, 1, 2, 4, 2, 5, 2, 5, 5, 1, 3, 4, 3, 4, 4, 3, 4, 4, 3, 1, 4, 3, 2, 1, 5, 3, 3, 5, 3, 4, 4, 5, 2, 3, 1, 4, 4, 4, 2, 1, 4, 4, 5, 3, 2, 2, 3, 4, 2, 3, 4, 4, 5, 2, 5, 3, 3, 1, 3, 3, 4, 3, 3, 5, 5, 2, 1, 5, 4, 5, 4, 1, 2, 4, 5, 3, 5, 4], "4378": [4, 4, 4, 5, 3, 2, 3, 4, 2, 4, 1, 4, 3, 3, 3, 4, 5, 4, 3, 3, 5, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 5, 3, 5, 3, 3, 3, 1, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 1, 1, 3, 3, 4, 4, 3, 4, 4, 1, 2, 4, 2, 1, 4, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 1, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2], "2545": [4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 1, 5, 1, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 3, 5, 5, 4, 5, 3, 4, 2, 5, 4, 5, 5, 4], "1744": [4, 4, 3, 4, 5, 5, 3, 5, 2, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 3, 5, 4, 4, 3, 5, 4, 5, 4, 3, 3, 5, 4, 4, 5, 4, 2, 5, 5, 4, 4, 4, 5, 3, 5, 2, 5, 5, 5, 5, 3, 3, 2, 5, 5, 4, 5, 4, 5, 5, 4, 3, 4, 3, 4, 2, 3, 4, 4, 5, 3, 4, 5, 5, 4, 4, 5, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 3, 4, 5, 3, 3, 4, 4, 4, 5, 2, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 4, 4, 4, 3], "5353": [3, 5, 4, 2, 4, 4, 3, 5, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 5, 4, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 3, 5, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 2, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 2, 4, 3, 5, 4, 4, 4, 4, 4, 2, 5], "4313": [3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 5, 5, 3, 5, 4, 2, 5, 2, 5, 3, 3, 4, 4, 4, 5, 3, 4, 2, 5, 4, 2, 4, 5, 4, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 4, 3, 3, 3, 4, 3, 5, 5, 4, 5, 5, 3, 5, 4, 3, 4, 3, 5, 5, 5, 3, 3, 5, 3], "2913": [4, 4, 3, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 3, 3, 5, 4, 5, 5, 3, 4, 2, 4, 5, 3, 5, 3, 5, 4, 3, 5, 4, 2, 1, 4, 2, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 4, 5, 2, 3, 4, 5, 4, 3, 5, 2, 4, 4, 4, 3, 4, 5, 3, 5, 4, 5, 3, 4, 5, 4, 4, 5, 4, 4, 4, 2, 3, 5, 3, 2, 3, 3, 5, 3, 3, 4, 4, 5, 2, 3, 3, 3, 5, 4, 5, 5, 4, 4, 5, 3, 3, 4, 5, 4, 3, 5, 5, 5, 4, 5, 2, 3, 3, 3, 4, 2, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 3, 4, 4, 3, 5, 4, 4, 5, 3, 4, 4, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 4, 2, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 5, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 5, 3, 5, 3, 5, 5, 3, 4, 4, 4, 4, 3, 4, 4, 5, 2, 3, 1, 4, 4, 4, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 5, 3, 4, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 3, 4, 5, 4, 3, 5, 4, 4, 3, 3, 4, 3, 2, 5], "1175": [4, 5, 3, 5, 3, 4, 4, 3, 3, 1, 4, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 4, 5, 3, 5, 4, 5, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 3, 5, 3, 5, 3, 4, 5, 5, 5, 4], "2734": [4, 5, 2, 4, 2, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 5, 4, 4, 4, 1, 2, 3, 5, 3, 4, 5, 4, 3, 4, 3, 3, 4, 2, 5, 5, 4, 4, 5, 2, 4, 2, 4, 5, 5, 3, 4, 5, 4, 3, 3, 2, 2, 4, 5, 5, 4, 4, 5, 4, 3, 2, 4, 2, 3, 3, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5], "5025": [4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 3, 3, 4, 5, 4, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 5, 4, 5, 5, 4, 4, 3, 4, 5, 5, 1, 4, 4, 4, 4, 5, 3, 4, 5, 4, 5, 5, 4, 2, 5, 5], "2555": [3, 2, 4, 3, 2, 5, 3, 4, 5, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 3, 2, 4, 4, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 4, 5, 3, 3, 5, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 5, 4, 3, 4, 4, 3, 4, 5, 3, 3, 3, 2, 4, 1, 5, 4, 2, 5, 3, 5, 4, 3, 3, 5, 4, 3, 4, 5, 5, 4, 2, 4, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 2, 4, 1, 4, 4, 4, 5, 3, 2, 3, 3, 4, 4, 5, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5], "2272": [5, 3, 4, 5, 3, 5, 5, 2, 3, 4, 3, 4, 4, 3, 5, 5, 4, 3, 4, 3, 4, 5, 3, 5, 5, 4, 3, 5, 3, 4, 3, 5, 5, 5, 3, 4, 4, 2, 2, 4, 5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 5, 4, 5, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 5, 2, 4], "5430": [3, 5, 5, 5, 3, 5, 5, 5, 2, 5, 4, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 2, 1, 3, 5, 1, 5, 4, 2, 1, 1, 5, 1, 5, 3, 4, 5, 4, 5, 5, 5, 1, 1, 4, 3, 3, 5, 4, 5, 3, 4, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 1, 5, 5, 5, 5, 5, 1, 5, 5, 4, 2, 1, 4, 4, 5, 5, 5, 3, 1, 5, 5], "1291": [2, 3, 5, 4, 4, 3, 5, 3, 4, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 5, 3, 3, 5, 4, 5, 5, 4, 2, 3, 3, 5, 4, 5, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 4, 2, 5, 4, 3, 3, 4, 3, 5, 2, 4, 5, 4, 3, 4, 3, 2, 2, 3, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 2, 4, 3, 5, 3, 4, 5, 5, 3, 5, 5, 4, 2, 5, 3, 4, 3, 4, 2, 4, 5, 3, 3, 5, 4, 3, 4, 4, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 3, 4, 4, 3, 4, 3, 4, 4, 3, 5, 2, 5, 4, 2, 2, 4, 3, 4, 4, 4, 4, 3, 5, 3, 4, 3, 5, 2, 3, 4, 4, 4, 5, 4, 5, 2, 3, 3, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 3, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 5, 4, 4, 3, 5, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 3, 5, 4, 4, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4], "3363": [3, 2, 4, 4, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 5, 5, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 5, 5, 4, 3, 3, 3, 4, 3, 4, 4, 5, 5, 3, 4, 5, 4, 1, 4, 4, 4, 4, 5, 3, 4, 3, 5, 3, 4, 3, 4, 5, 4, 5, 4, 4, 1, 4, 5, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 3, 4, 3, 5, 2, 4, 4, 2, 3, 4, 3, 3, 2, 5, 4, 3, 4, 2, 4, 4, 2, 5, 4, 5, 5, 2, 3, 5, 2, 3, 3, 3, 5, 5, 4, 4, 4, 3, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 1, 2, 5, 5, 4, 3, 3, 4], "32": [3, 3, 3, 4, 3, 4, 5, 3, 4, 3, 4, 4, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 3, 3, 3, 4, 4, 4, 5, 3, 2, 4, 5], "3022": [3, 3, 3, 4, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 3, 1, 3, 2, 4, 3, 4, 3, 3, 2, 3, 3, 2, 3, 2, 1, 3, 3, 3, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 5, 3, 4, 4, 2, 4, 2, 1, 2, 2, 4, 2, 3, 2, 4, 3, 2, 3, 3, 2, 2, 4, 3, 2, 3, 2, 2, 4, 1, 3, 3, 4, 4, 3, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 3, 5, 2, 2, 3, 2, 4, 5, 2, 2, 4, 3, 2, 3, 4, 4, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4], "277": [4, 4, 4, 4, 4, 3, 2, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4], "2601": [4, 3, 3, 5, 3, 4, 4, 5, 3, 5, 4, 5, 2, 3, 3, 4, 4, 5, 4, 5, 4, 3, 4, 4, 4, 4, 3], "2422": [3, 5, 5, 4, 4, 4, 5, 3, 4, 5, 5, 4, 5, 5, 4, 4, 3, 4, 4], "4631": [2, 3, 5, 3, 4, 2, 4, 3, 2, 2, 5, 3, 4, 4, 5, 3, 3, 2, 5, 3, 4, 2, 5, 5, 3, 4, 3, 5, 4, 4, 5, 5, 3, 2, 2, 5, 3, 3, 3, 5, 4, 3, 2, 1, 5, 5, 5, 2, 4, 3, 4, 3, 3, 5, 4, 5, 2, 3, 3, 4, 3, 3, 5, 4, 5, 1, 4, 5, 4, 1, 2, 3, 4, 5, 2, 4, 4, 4, 4, 5, 5, 2, 4, 2, 4, 5, 4, 3, 5, 5, 4, 2, 4, 3, 2, 4, 5, 3, 5, 4, 3, 4], "1461": [4, 1, 1, 4, 4, 1, 1, 1, 4, 4, 4, 4, 5, 4, 4, 1, 2, 4, 5, 5, 2, 4, 4, 5, 1, 4, 3, 5, 1, 4, 3, 4, 2, 5, 2, 5, 2, 2, 3, 2, 5, 5], "2669": [4, 4, 4, 5, 5, 5, 3, 5, 5, 3, 4, 4, 3, 3, 2, 3, 5, 5, 5, 5, 3, 4, 4, 4, 3, 4, 5, 3, 4, 4, 2, 5, 4, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 3, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 5, 4, 4], "2794": [4, 5, 4, 5, 4, 4, 3, 4, 4, 3, 3, 4, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 2, 5, 4, 4, 5, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2, 4, 5, 4, 5, 5, 5, 3, 5, 5, 4, 4, 4, 4, 5, 4, 2, 5, 4, 5, 3, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 4, 5, 5, 3, 5, 3, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4], "4162": [4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 3, 4, 3, 4, 5, 2, 4, 4, 4, 4, 4, 5, 5, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 2, 5, 4, 5, 3], "842": [4, 5, 3, 3, 5, 4, 4, 5, 4], "1093": [2, 2, 4, 3, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 4, 4, 1, 4, 3, 4, 4, 4, 4, 2, 4, 3, 5, 4, 3, 4, 3, 2, 3, 4, 4, 3, 3, 4, 1, 3, 3, 4], "5140": [3, 3, 4, 2, 4, 5, 3, 4, 4, 2, 4, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 4, 5, 4, 1, 2, 4, 4, 3, 3, 5, 2, 2, 4, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 5, 3, 4, 3, 2, 2, 4, 2, 3, 4, 4, 3, 3, 3, 3, 4, 5, 4, 5, 3, 4, 2, 3, 3, 3, 5, 4, 4, 3, 1, 5, 4, 3, 5, 4, 2, 4, 3, 4, 4, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 3, 3, 4, 2, 2, 3, 2, 4, 2, 3, 3, 5, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 5, 4, 3, 2, 3, 2, 4, 4, 5, 3, 3, 2, 3, 4, 3, 3, 4, 3, 4, 5, 3, 3, 4, 3, 3, 3, 5, 3, 4, 4, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 4, 5, 4, 4, 2, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 2, 3, 5, 3, 4, 4, 3, 5, 3, 2, 3, 4, 2, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 2, 5, 4, 3, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 3, 5, 2, 4, 4, 2, 4, 3, 1, 2, 4, 1, 4, 4, 3, 4, 3, 4, 3, 4, 3, 5, 2, 3, 3, 3, 2, 2, 3, 2, 4, 3, 3, 4, 2, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 3, 5, 4, 3, 3, 4, 3, 4, 3, 5, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 2, 2, 5, 3, 3, 4, 3, 3], "3125": [3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 5, 2, 3, 3, 3, 4, 5, 4, 5, 5, 3, 3, 5, 3, 3, 4, 4, 5, 4, 5, 2, 3, 5, 4, 3, 5, 3, 4, 3, 4, 5, 4, 3, 4, 5, 5, 3, 5, 4, 1, 4, 5, 5, 4, 3, 4, 3, 4, 3, 2, 5, 4, 2, 4, 3, 4, 3, 3, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 5, 4, 3, 5, 2, 2, 5, 4, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 4, 4, 1, 4, 5, 5, 5, 4, 4, 5, 3, 4, 5, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 2, 4, 3, 2, 5, 5, 2, 3, 4, 5, 4, 5, 1, 3, 3, 4, 4, 4, 4, 3, 5, 4, 2, 4, 3, 4, 5, 4, 5, 3, 2, 5, 2, 5, 4, 4, 5, 4, 5, 4, 4, 5, 1, 4, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 2, 3, 4, 5, 4, 3, 4, 5, 3, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 3, 4, 5, 3, 4, 3, 1, 4, 3, 5, 1, 4, 3, 4, 5, 5, 5, 2], "2378": [2, 2, 1, 2, 5, 5, 4, 2, 4, 5, 3, 2, 5, 5, 5, 2, 5, 1, 2, 3, 4, 5, 5, 3, 3, 1, 5, 2, 4, 1, 4, 2, 4, 2, 2, 5, 2, 3, 2, 5, 5, 4, 4, 3, 4, 3, 3, 4, 1, 3, 3, 2, 1, 4, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 4, 5, 3, 3, 3, 4, 4, 4, 5, 2, 3, 3, 4, 4, 5, 1, 3, 3, 3, 1, 3, 2, 1, 2, 5, 3, 1, 2, 4, 5, 4, 1, 3, 3, 4, 4, 4, 4, 1, 4, 4, 1, 5, 2, 1, 2, 3, 1, 3, 4, 3, 5, 4, 3, 4, 4, 4, 3, 2, 3, 3, 2, 3, 4, 1, 3, 1, 5, 1, 4, 2, 3, 4, 1, 5, 4, 4, 2, 4, 2, 4, 2, 3, 2, 4, 5, 2, 3, 1, 4, 2, 1, 4, 2, 4, 3, 1, 2, 5, 3, 3, 5, 1, 1, 5, 2, 4, 3, 2, 2], "1171": [5, 5, 3, 4], "3862": [5, 2, 4, 5, 4, 4, 4, 1, 5, 4, 5, 1, 4, 2, 5, 5, 4, 4, 3, 5, 3, 1, 5], "4973": [3, 5, 3, 2, 5, 3, 3, 2, 3, 4, 4, 3, 5, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 4, 2, 4, 3, 4, 4, 3, 4, 3, 4, 3, 3, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 2, 4, 3, 5, 5, 5, 4, 5, 5, 4, 4, 4, 3, 5, 5, 3, 5, 5, 4, 4, 3, 3, 4, 3, 3, 5, 5, 3, 3, 4, 1, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 5, 4, 2, 4, 5, 3, 4, 3, 2, 4, 2, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 5, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 3, 3, 4, 3, 4, 5], "1526": [4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5], "3395": [4, 4, 4, 5, 5, 5, 1, 3, 3, 5, 4, 1, 4, 4, 5], "1274": [3, 4, 4, 3, 5, 4, 5, 4, 4, 4, 5, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 2, 3, 5, 4, 3, 4, 4, 4, 3, 5, 3, 3, 5, 4, 3, 5, 3, 5, 3, 5, 5, 4, 5, 3, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 4, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 3, 5, 5, 5, 4, 3, 4, 3, 4, 3, 5, 5, 3, 4, 3, 4, 4, 3, 3, 3, 4, 4, 3, 4, 3, 5, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 5, 4, 2, 4, 3, 4, 5, 3, 5, 4, 5, 3, 4, 4, 4, 2, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 2, 3, 5, 4, 4, 5, 3, 4, 4, 3, 3, 4, 4, 3, 5, 3, 5, 4, 3, 4, 4, 2, 5, 5, 5, 2, 4, 3, 3, 4, 3, 4, 4, 5, 5, 5, 4, 3, 4, 2, 5, 3, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 2, 3, 3, 3, 5, 3, 4, 3, 3, 5, 4, 4, 4, 3, 5, 3, 4, 3, 4, 4, 5, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 2, 5, 4, 4, 5, 4, 4, 5, 3, 4, 3, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 4, 3, 5, 4, 5, 4, 2, 3, 4, 3, 4, 4, 3, 3, 4, 5, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 3, 5, 4, 4, 4, 2, 3, 5, 4, 4, 4, 5, 4, 3, 3, 3, 5, 3, 5, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 2, 5, 3, 5, 3, 4, 4, 4, 3, 3], "4760": [3, 2, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4], "3085": [5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 4, 4, 3, 3, 3, 2, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 3, 2, 5, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 4, 5, 3, 4], "3864": [5, 5, 5, 5, 3, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 1, 5, 5, 4, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 5, 2, 4, 4, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4], "2801": [4, 4, 4, 3, 3, 3, 2, 3, 5, 4, 3, 2, 5, 5, 3, 3, 3, 3, 5, 2, 3, 2, 5, 5], "565": [4, 4, 4, 2, 4, 3, 2, 4, 3, 3, 3, 4, 2, 4, 1, 4, 2, 4], "2074": [5, 5, 1, 2, 2, 5, 3, 5, 5, 3, 2, 2, 5, 4, 2, 5, 4, 3, 3, 4, 4, 4], "4956": [2, 3, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 3, 5, 3, 3, 3, 3, 4, 3, 3, 5, 4, 2, 3, 3, 4, 4, 3, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 4, 2, 5, 4, 4, 1, 4, 2, 3, 4, 2, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 3, 5, 2, 3, 3, 4, 4, 3, 4, 4, 3, 4, 2, 5, 4, 5, 5, 5, 5, 4, 2, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 3, 4, 5, 4, 3, 5, 4, 4, 5, 5, 5, 5, 4, 5, 3, 2, 5, 2, 2, 2, 3, 4, 5, 4, 5, 3, 4, 5, 2, 4, 4, 3, 5, 5, 5, 3, 4, 5, 2, 3, 5, 4, 3, 3, 4, 4, 2, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 1, 5, 2, 4, 3, 2, 5, 5, 3, 4, 5, 3, 3, 4, 3, 2, 4, 5, 5, 4, 4, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 2, 3, 4, 5, 4, 4, 3, 4, 5, 2], "1873": [3, 3, 3, 4, 3, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 1, 4, 4, 3, 3, 3, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 4, 5, 4, 3, 3, 5, 3, 4, 3, 4, 3, 5, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 2, 3, 3, 4, 4, 3, 4, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 5, 4, 4, 3, 3, 2, 4, 4, 3, 3, 3, 4, 4, 3, 2, 5, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 2, 4, 3, 3, 3, 2, 3, 4, 4, 4, 4, 4, 4, 3], "3469": [4, 4, 3, 5, 3, 5, 4, 5, 3, 4, 3, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 5, 4, 4, 5, 3, 5, 4, 5, 5, 4, 4, 3, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 4, 2, 2, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 5, 3, 4, 4, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 5, 3, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 5, 3, 4, 5, 5, 2, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 3, 2, 4, 2, 2, 3, 4, 3, 2, 1, 5, 5, 4, 2, 3, 3, 5, 4, 5, 4, 1, 5, 4, 5, 5, 4, 3, 5, 5, 5, 2, 2, 4, 1, 3, 4, 5, 1, 5, 5, 3, 3, 5, 4, 3, 5, 4, 5, 5, 4, 4, 4, 5, 4, 5, 3, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 3, 2, 4, 5, 4, 3, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 3, 1, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 4, 2, 4, 3, 3, 3, 4, 5, 4, 4, 4, 5, 2, 1, 3, 4, 1, 3, 3, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 3, 5, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 5, 1, 3, 2, 3, 3, 5, 4, 4, 5, 4, 3, 4, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 1, 4, 5, 4, 3, 2, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 2, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 3, 4, 5, 3, 5, 2, 5, 5, 4, 5, 4, 3, 5, 5, 4, 5, 4, 3, 4, 4, 4, 3, 4, 3, 2, 5, 5, 3, 4, 4, 5, 5, 5, 4, 5, 4, 3, 5, 3, 5, 4, 5, 3, 5, 3, 5, 3, 5, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 3, 3, 5], "2239": [5, 3, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 4, 3, 4, 4, 4, 5, 3, 4, 5, 5, 5, 2, 4, 4, 5, 4, 5, 4, 3, 1, 4, 5, 5, 4, 5, 3, 3, 5, 4, 4, 3, 2, 4, 3, 3, 5, 5, 4, 5, 5, 4, 5, 5, 3, 5, 5, 5, 4, 4, 4, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 2, 4, 4, 4, 1], "696": [4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 3, 2, 4, 3, 3, 4, 3, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 2, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 2, 4, 3, 5, 5, 3, 3, 4, 3, 3, 4, 3, 4, 5, 5, 4, 5, 4, 3, 2, 3, 3, 3, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 2, 3, 5, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 5, 5, 3, 3, 5, 3, 3, 3, 4, 3, 1, 4, 3, 4, 2, 4, 3, 3, 5, 4, 2, 3, 5, 3, 3, 4, 5, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 1, 4, 3, 3, 4, 4, 3, 3, 3, 5, 5, 4, 5, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 3, 4, 5, 3, 3, 5, 3, 5, 5, 2, 4, 5, 4, 4, 3, 5, 5, 5, 2, 4, 4, 4, 3, 4, 1, 3, 3, 4, 5, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 3, 5, 3, 3, 4, 3, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 2, 5, 5, 3, 2, 3, 3, 3, 5, 3, 4], "3721": [3, 4, 1, 3, 1, 4, 4, 4, 4, 3, 4, 3, 4, 2, 5, 4, 5, 4, 3, 4, 5, 2, 5, 3, 5, 5, 5, 3, 4, 4, 3, 4, 3, 3, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 3, 3, 5, 2, 5, 5, 3, 3, 4, 3, 3, 1, 3, 5, 5, 4, 3, 4, 3, 4, 5, 4, 4, 5, 4, 5, 3, 4, 2, 2, 4, 4, 5, 3, 4, 1, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 3, 5, 5, 3, 4, 4, 5, 3, 3, 3, 3, 4, 2, 4], "1147": [2, 5, 4, 3, 4, 3, 3, 3, 4, 3, 4, 2, 4, 5, 4, 5, 3, 5, 4, 3, 5, 3, 5, 3, 5, 1, 4, 5, 5, 3, 4, 4, 5, 5, 4, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 3, 5, 3, 2, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 4, 4, 2, 5, 3, 5, 4, 3, 5, 2, 5, 4, 5, 5, 1, 2, 5, 1, 2, 4, 3, 4, 4, 5, 5, 5, 2, 1, 1, 5, 4, 4, 3, 4, 2, 4, 4, 4, 5, 4, 2, 1, 5, 4, 4, 1, 5, 3, 3, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 3, 4, 5, 3, 2, 4, 4, 3, 3, 2, 2, 5, 3, 4, 4, 3, 4, 3, 4, 4, 2, 2, 4, 3, 4, 4, 3, 3, 3, 5, 4, 3, 2, 1, 2, 5, 5, 1, 3, 5, 4, 4, 2, 5, 5, 5, 4, 2, 4, 3, 4, 5, 3, 2, 2, 5, 1, 1, 1, 2, 4, 1, 4, 4, 4, 5, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 2, 2, 3, 5, 4, 2, 2, 5, 1, 2, 2, 3, 3, 5, 3, 5, 3, 4, 5, 3, 4, 3, 5, 4, 5, 4, 3, 3, 3, 3, 3, 4, 1, 3, 4, 3, 3, 4, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 3, 3, 5, 3, 3, 4, 4, 2, 3, 4, 2, 2, 4, 5, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 5, 2, 3, 2, 3, 5], "920": [4, 3, 3, 2, 3, 4, 5, 4, 2, 4, 5, 2, 3, 2, 5, 3, 4, 2, 4, 4, 3, 3, 2, 4, 3, 5, 4, 5, 3, 4, 4, 5, 1, 2, 2, 4, 3, 5, 3, 1, 3, 3], "1578": [1, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 5, 5, 3, 4, 5, 5, 2, 5, 5, 3, 4, 4, 4, 5], "2391": [5, 3, 4, 5, 3, 4, 3, 3, 5, 4, 4, 2, 4, 3, 3, 4, 3, 4, 3, 4, 5, 5, 4, 2, 1, 3, 3, 3, 4, 5, 5, 5, 4, 3, 4, 5, 3, 3, 3, 4, 5, 2, 4, 3, 4, 3, 5, 4, 2, 4, 5, 2, 5, 4, 2, 2, 5, 3, 3, 5, 4], "3766": [3, 3, 4, 3, 4, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 4, 2, 4, 4, 2, 3, 3, 2, 4, 2, 3, 3, 3, 3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 3, 2, 2, 4, 3, 5, 3, 4, 2, 3, 4, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 2, 4, 5, 3, 4, 3, 4, 4, 3, 4, 4, 3, 3, 2, 1, 3, 3, 2, 2, 3, 2, 3, 3], "5839": [5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 3, 5, 3, 4, 4, 5, 5, 4, 5, 4, 4, 5, 4, 5, 5], "3985": [4, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 3, 4, 4, 4, 1, 5, 3, 4, 3, 2, 3, 4, 5, 3, 3, 3, 3, 4, 4, 5, 2, 3, 3, 5, 4, 5, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 4, 3, 4, 3, 2, 3, 4, 3, 5, 5, 2, 4, 3, 5, 3, 4, 2, 4, 2, 2, 3, 3, 3, 2, 2, 5, 4, 5, 4, 4, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 4, 3, 4, 4, 2, 5, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 2, 4, 3, 4, 5, 3, 3, 2, 4, 2, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 5, 3, 4, 5, 4, 4, 4, 1, 5, 2, 4, 3, 4, 3, 4, 4, 5, 4, 5, 2, 4, 4, 4, 3, 5, 4, 4, 4, 4, 5, 3, 3, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 5, 3, 2, 3, 5, 5, 2, 5, 2, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 4, 4, 3, 5, 4, 3, 4, 4, 4, 4, 2, 5, 3, 3, 4, 4, 4, 3, 3, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4], "3288": [3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 3, 5, 2, 3, 3, 4, 5, 4, 3], "5550": [4, 3, 5, 4, 5, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 5, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 5, 4, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 5, 3, 5, 5, 3, 4, 4, 4, 4, 2, 4, 3, 5, 3, 5, 4, 2, 5, 4, 5, 2, 4, 4, 4, 2, 2, 4, 4, 4, 3, 2, 3, 3, 2, 3, 5, 2, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 4, 4, 2, 4, 5, 3, 5, 5, 4, 3, 5, 4, 5, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 4, 3, 3, 5, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 4, 5, 3, 5, 2, 4, 4, 5, 2, 3, 2, 5, 4, 3, 2, 3, 3, 4, 5, 2, 5, 4, 5, 3, 4, 4, 1, 4, 3, 3, 4, 2, 3, 2, 2, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 2, 3, 5, 3, 4, 5, 5, 4, 4, 3, 5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 2, 4, 4, 4, 3, 2, 3, 3, 4, 2, 4, 4, 4, 3, 2, 3, 2, 2, 2, 5, 4, 3, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 1, 5, 4, 4, 4, 2, 5, 5, 3, 3, 5, 4, 3, 4, 5, 4, 5, 2, 4, 5, 4, 5, 4, 5, 5, 3, 4, 5, 4, 5, 4, 2, 4, 3, 5, 5, 4, 3, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 5, 3, 4, 4, 2, 4, 5, 5, 5, 4, 4, 2, 3, 2, 4, 4, 5, 4, 4, 5, 3, 2, 5, 3, 4, 5, 4, 4, 4, 2, 5, 4, 1, 4, 3, 5, 4, 3, 5, 4, 2, 5, 4, 3, 4, 4, 3, 3, 5, 2, 2, 4, 5, 3, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 5, 3, 2, 4, 1, 3, 5, 4, 4, 4, 4, 1, 5, 4, 3, 4, 5, 3, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 5, 5, 4, 4, 4, 4, 3, 2, 2, 5, 2, 3, 3, 4, 5, 5, 5, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 2, 5, 5, 4, 2, 4, 4, 3, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 2, 5, 2, 1, 4, 3, 3, 3, 4, 4, 1, 5, 5, 5, 4, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 5, 5, 5, 4, 3, 3, 3, 2, 2, 4, 2, 4, 4, 4, 4, 3, 5, 4, 3, 4, 3, 3, 4, 3, 5, 4, 5, 5, 3, 4, 3, 2, 2, 4, 4, 2, 4, 5, 4, 4, 4, 4, 4, 2, 4, 4, 3, 3, 4, 4, 4, 5, 3, 5, 3, 5, 2, 4, 3, 3, 3, 4, 1, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4], "3081": [5, 5, 5, 2, 4, 4, 4, 3, 5, 5, 4, 5, 5, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 3, 3, 2, 5, 5, 4, 5, 5, 5, 4, 5, 3, 5, 4, 4, 3, 4, 5, 5, 2, 5, 5, 5, 4, 3, 4, 5, 4, 5, 5, 5, 3, 4, 5, 3, 5, 3, 4, 5, 4, 2, 4, 3, 4, 4, 5, 4, 3, 4, 5, 4, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 3, 4, 2, 4, 3, 5, 5, 3, 2, 4, 3, 4, 5, 4, 4, 4, 4, 3, 3, 5, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 4, 3, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 5, 4, 1, 4, 5, 4, 3, 2, 5, 2, 2, 5, 4, 4, 5, 1, 4, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 4, 4, 1, 3, 4, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 1, 4, 4, 3, 5, 4, 5, 4, 3, 4, 2, 3, 4, 3, 5, 3, 3, 5, 3, 5, 5, 4, 5, 5, 4, 5, 4, 3, 3, 5, 3, 4, 5, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 2, 4, 5, 5, 4, 5, 4, 4, 4, 3, 2, 3, 1, 3, 4, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 3, 5, 5, 4, 4, 5, 4, 4, 3, 2, 4, 5, 5, 1, 3, 5, 4, 4, 3, 4, 5, 5, 5, 5, 3, 5, 5, 5, 4, 4, 4, 5, 3, 5, 4, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 2, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4], "4786": [3, 2, 4, 5, 5, 5, 3, 4, 3, 3, 4, 3, 4, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 5, 5, 4, 3, 3, 4, 3, 3, 5, 3, 5, 5, 2, 3, 4, 5, 3, 3, 4, 4, 3, 3, 4, 5, 3, 5, 5, 5, 4, 5, 3, 3, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 4, 2, 4, 4, 2, 3, 3, 2, 3, 5, 4, 3, 3, 3, 4, 4, 4, 5, 3, 3, 3, 3, 5, 3, 5, 4, 3, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 4, 5, 5, 3, 3, 5, 3, 5, 2, 4, 4, 4, 3, 5, 5, 1, 5, 4, 4, 4, 3, 5, 3, 4, 5, 5, 4, 5, 4, 4, 5, 3, 5, 2, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 5, 3, 5, 4, 3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 3, 4, 3, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 3, 5, 5, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 3, 4, 5, 5, 5], "573": [4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 4, 1, 2, 5, 4, 2, 4, 3, 1, 3, 3, 1, 5, 5, 3, 5], "4880": [5, 3, 5, 2, 4, 4, 2, 3, 5, 5], "5697": [3, 5, 4, 2, 1, 1, 2, 5, 5, 5, 2, 4], "1188": [5, 3, 1, 4, 5, 4, 2, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 5, 4, 3, 4, 5, 4, 5], "5822": [4, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 5, 2, 4, 3, 3, 3, 4, 4, 4, 3, 4], "4122": [4, 5, 3, 5, 4, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 4, 1, 4, 4, 3, 5, 4, 4, 3, 4, 5, 5, 2, 4, 4, 3, 4, 2, 3, 4, 4, 3, 3, 3, 2, 2, 2, 3, 2, 4, 4, 4, 5, 4, 2, 4, 4, 3, 4, 4, 5, 4, 3, 3, 3, 3, 1, 3, 3, 5, 3, 3, 5, 5, 4, 2, 4, 1, 1, 4, 1, 1, 4, 3, 5, 3, 2, 5, 5, 2, 3, 5, 2, 3, 5, 4, 4, 4, 4, 3, 4, 5, 4, 5, 3, 4, 4, 4, 2, 2, 5, 4, 3, 5, 4, 5, 4, 3, 3, 2, 3, 2, 5, 4, 5, 3, 4, 4, 4, 4, 3, 4, 5, 4, 3, 2, 3, 4, 5, 5, 3, 3, 4, 5, 3, 5, 1, 1, 4, 3, 3, 1, 4, 3, 3, 2, 2, 2, 4, 5, 5, 3, 5, 1, 3, 5, 4, 5, 3, 4, 5, 3, 5, 2, 1, 1, 4, 1, 5, 4, 1, 4, 2, 4, 4, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 3, 5, 4, 4, 3, 4, 3, 4, 3, 5, 2, 4, 3, 4, 4, 5, 3, 5, 4, 4, 1, 5, 3, 4, 4, 5, 5, 3, 3, 4, 3, 2, 5, 5, 3, 5, 4, 5, 4, 4], "167": [3, 2, 2, 3, 1, 4, 2, 3, 4, 3, 3, 3, 3, 4, 3, 2, 3, 2, 1, 3, 4, 3, 5, 2, 2, 3, 1], "974": [4, 5, 5, 3, 2, 2, 4, 4, 3, 2, 4, 2, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 5, 4, 3, 5, 3, 5, 5, 5, 5], "3966": [3, 4, 5, 2, 4, 3, 4, 4, 4, 3, 5, 2, 3, 5, 4, 2, 1, 4, 5, 4, 3, 2, 4, 4, 5, 5, 3, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 5, 5, 3, 3, 4, 4, 3, 5, 2, 5], "1209": [2, 3, 3, 2, 4, 3, 5, 3, 2, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 4, 3, 5, 2, 2, 4, 4, 3, 4, 5, 3, 3, 5, 4, 2, 4, 5, 3, 3, 4, 2, 3, 5, 3, 4, 2, 2, 3, 3, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 3, 3, 5, 4, 5, 5, 3, 4, 4, 4, 1, 2, 4, 3, 4, 3, 3, 4, 5, 3, 4, 3, 4, 3, 3, 3, 4, 2, 5, 2, 3, 4, 4, 4, 5, 2, 2, 4, 3, 2, 4, 4, 4, 2, 2, 5, 3, 3, 4, 3, 4, 5, 4, 5, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 3, 2, 1, 1, 3, 5, 3, 5, 4, 4, 4, 3, 2, 2, 2, 3, 4, 3, 3, 3, 5, 5, 4, 3, 4, 4, 2, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 2, 3, 2, 2, 3, 5, 3, 2, 2, 4, 4, 3, 3, 2, 3, 4, 2, 3, 5, 4, 3, 4, 2, 4, 3, 2, 4, 4, 2, 3, 4, 5, 5, 3, 3, 4, 4, 4, 5, 4], "370": [3, 2, 3, 5, 5, 5, 3, 4, 5, 3, 5, 5, 3], "2199": [4, 5, 2, 4, 5, 4, 5, 5, 3, 3, 4, 4, 1, 3, 4, 3, 2, 3, 4, 4, 4, 4, 4, 2, 5, 5, 3], "3605": [4, 5, 5, 5, 5, 4, 1, 1, 5, 5, 5, 5, 3, 4, 5, 2, 2, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 1, 4, 1, 1, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 4], "2923": [4, 4, 4, 4, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 3, 4, 4, 3, 3, 3, 4], "4130": [4, 3, 5, 5, 5, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 5, 3, 3, 3, 2, 4, 4, 3, 2, 4, 3, 4, 4, 3, 3, 3, 2, 3, 3, 5, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 4, 2, 3, 4, 3, 5, 4, 3, 4, 4, 3, 5, 5, 4, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 3, 4, 5, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 5, 4, 3, 5, 3, 5, 4, 5, 3, 4, 4, 4, 5, 3, 4, 4, 5, 5, 3, 4], "3829": [3, 4, 3, 3, 1, 4, 3, 5, 1, 3, 3, 4, 2, 4, 3, 2, 3, 5, 5, 3, 3, 4, 3, 3, 1, 5, 4, 1, 3, 2, 4, 4, 4, 1, 2, 3, 3, 2, 4, 2, 3, 4, 4, 4, 3, 5, 4, 3, 3, 4, 5, 3, 1, 4, 3, 4, 3, 3, 3, 1, 4, 5, 5, 3, 5, 4, 3, 2, 2, 1, 3, 5, 2, 1, 5, 1, 4, 3, 2, 2, 3, 3, 4, 4, 2, 1, 4, 4, 4, 3, 2, 4, 4, 3, 5, 3, 4, 4, 3, 3, 1, 3, 2, 4, 2, 4, 3, 1, 2, 2, 2, 5, 3, 5, 5, 3, 3, 2, 4, 1, 2, 3, 3, 1, 2, 5, 5, 3, 2, 1, 3, 3, 1, 4, 4, 3, 4, 2, 4, 3, 1, 3, 2, 2, 2, 4, 4, 3, 3, 3, 4, 1, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 3, 2, 5, 4, 3, 2, 1, 4, 4, 3, 5, 5, 1, 3, 4, 4, 1, 3, 4, 3, 3, 3, 3, 4, 1, 3, 3, 3, 4, 4, 4, 4, 4, 2, 3, 4, 2, 3, 4, 1, 4, 2, 3, 3, 2, 4, 3, 4, 3, 5, 4, 3, 2, 3, 5, 3, 3, 3, 4, 3, 4, 3, 5, 2, 1, 3, 4, 3, 4, 4, 3, 4, 1, 3, 2, 2, 5, 3, 3, 4, 3, 1, 4, 2, 2, 2, 3, 3, 4, 1, 3, 3, 4, 3, 4, 3, 5, 4, 3, 1, 3, 3, 4, 2, 2, 5, 5, 3, 4, 3, 3, 3, 3, 3, 5, 4, 2, 3, 5, 3, 4, 3, 3, 2, 3, 5, 5, 4, 3, 3, 3, 1, 3, 4, 5, 5, 1, 2, 2, 5, 3, 4, 3, 4, 4, 2, 4, 1, 4, 2, 2, 4, 1, 3, 4, 3, 2, 3, 2, 2, 2, 4, 4, 2, 2, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 2, 2, 5, 3, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 2, 3, 2, 3, 4, 2, 4, 4, 3, 5, 4, 4, 2, 2, 4, 3, 2, 3, 1, 3, 3, 4, 3, 3, 4, 5, 1, 4, 4, 3, 4, 4, 4, 3, 1, 2, 3, 2, 2, 4, 3, 3, 4, 5, 2, 3, 3, 2, 4, 1, 3, 2, 1, 1, 4, 5, 2, 4, 2, 3, 2, 3, 3, 2, 1, 2, 1, 4, 3, 2, 3, 4, 2, 2, 4, 2, 4, 4, 3, 2, 3, 4, 3, 5, 3, 3, 3, 4, 4, 5, 2, 4, 5, 2, 4, 3, 2, 3, 4, 4, 1, 3, 1, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 5, 4, 2, 2, 2, 3, 3, 4, 3, 4, 2, 3, 3, 2, 2, 4, 3, 5, 4, 3, 4, 4, 3, 4, 3, 3, 2, 3, 2, 4, 2, 1, 4, 3, 4, 4, 2, 4, 1, 4, 2, 4, 2, 3, 1, 1, 3, 4, 2, 3, 2, 4, 3, 4, 2, 3, 2, 3, 2, 3, 2, 3, 4, 5, 3, 3, 2, 2, 2, 2, 5, 3, 4, 1, 2, 3, 2, 3, 2, 4, 3, 5, 4, 3, 4, 2, 4, 4, 3, 2, 3, 5, 3, 3, 4, 5, 4, 2, 4, 4, 4, 2, 4, 5, 5, 3, 4, 1, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 3, 4], "174": [4, 3, 2, 4, 3, 3, 3, 3, 3, 4, 3, 3, 5, 4, 3, 3, 3, 1, 5, 3, 3, 4, 3, 3, 4, 5, 3, 5, 4, 3, 5, 4, 4, 4, 4, 3, 5, 1, 3, 3, 4, 3, 3, 4, 3, 4, 5, 4, 5, 5, 5, 4, 3, 4, 5, 2, 4, 4, 3, 4, 4, 3, 4, 4, 5, 2, 4, 4, 4, 4, 5, 1, 1, 5, 4, 4, 4, 5, 5, 3, 4], "29": [2, 3, 4, 3, 5, 2, 4, 5, 4, 4, 5, 3, 2, 5, 3, 5, 2, 5, 3, 4, 5, 3, 4, 3, 5, 3, 5, 2, 2, 3, 2, 3, 4, 2, 3, 3, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 3, 5, 3, 5, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 5, 3, 3, 3, 3, 2, 4, 2, 3, 4, 2, 4, 3, 2, 3, 5, 3, 5, 5, 5, 3, 5, 4, 5, 3, 4, 4, 5, 3, 3, 5, 3, 2, 5, 5, 2], "1003": [5, 4, 3, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 4, 4], "4541": [1, 2, 2, 5, 3, 4, 3, 1, 3, 1, 2, 2, 1, 4, 2, 1, 2, 5, 3, 1, 5, 3, 1, 1, 1, 1, 4, 1, 2, 5, 3, 4, 1, 1, 1, 2, 4, 4, 1, 1, 3, 3, 5, 2, 4, 5, 1, 4, 1, 1, 5, 1, 1, 3, 2, 3, 3, 1, 2, 1, 5, 4, 2, 4, 3, 1, 2, 3, 5, 1, 3, 3, 3, 4, 2, 4, 3, 3, 2, 2, 1, 3, 1, 3, 2, 1, 1, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 1, 2, 1, 3, 5, 3, 2, 1, 1, 3, 3, 1, 1, 3, 1, 3, 3, 1], "5848": [3, 3, 1, 3, 4, 3, 4, 3, 5, 4, 1, 4, 3, 5, 4, 4, 4, 4, 4, 5, 2, 4, 5, 3, 5, 4, 4, 4, 5, 5, 4, 4, 5, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 4, 5, 3, 3, 3, 5, 4, 5, 4, 4, 5, 3, 3, 4, 5, 3, 5, 5, 3, 2, 4, 3, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 5, 4, 4, 5, 2, 4, 4, 3, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 3, 4, 4, 4, 4, 5, 4, 3, 4, 4, 4, 1, 3, 4, 4, 4, 5, 4, 3, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 2, 4, 5, 4, 5, 3, 5, 4, 5, 2, 4, 4, 4, 4, 3, 3, 5, 2, 4, 2, 4, 4, 1, 3, 3, 4, 5, 3, 5, 4, 3, 2, 3, 3, 5, 3, 5, 4, 1, 4, 4, 4, 3, 4, 3, 4, 5, 4, 1, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 4, 2, 4, 2, 4, 4, 5, 5, 4, 3, 5, 3, 4, 5, 4, 5, 3, 5, 3, 4, 4, 5, 3, 3, 4, 4, 3, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 3, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 3, 2, 2, 3, 4, 4, 1, 2, 3, 1, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 2, 2, 5, 2, 5, 2, 4, 4, 1, 4, 4, 1, 3, 4, 5, 3, 5, 3, 4, 4, 3, 5, 4, 3, 5, 5, 4, 4, 4, 3, 4, 3, 4, 2, 5, 3, 5, 5, 5, 3, 4, 4, 4, 4, 5, 3, 4, 4, 4, 4, 2, 4, 5, 3, 1, 4, 4, 3, 3, 5, 5, 3, 3, 1, 4, 4, 4, 4, 4, 1, 4, 3, 5], "875": [4, 5, 4, 1, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 4, 5, 2, 5, 1, 5, 5], "3063": [3, 1, 4, 5, 5, 5, 5, 5, 3, 3, 4, 2, 3, 1, 1, 1, 5, 3, 3, 3, 3, 3, 2, 4, 3, 2, 5, 5, 5, 2, 5, 5, 1, 1, 1, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 2, 4, 4, 5, 3, 5, 5, 4], "4376": [4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 4, 3, 1, 4, 5, 4, 3, 4, 5, 3, 5, 3, 4, 3, 5, 4, 4, 5, 3, 2, 2, 5, 2, 4, 3, 4, 3, 4, 2, 5, 5, 3, 4, 4, 4], "2420": [5, 3, 5, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 5, 2, 4, 5, 5, 3, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 5], "3150": [4, 5, 4, 3, 4, 5, 3, 4, 5, 5, 5, 3, 3, 3, 4, 4, 3, 4, 5, 5, 4, 5, 3, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4], "2130": [4, 2, 4, 5, 5, 1, 3, 3, 2, 4, 3, 4, 4, 4, 3, 2, 5, 5, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 5, 5, 5, 3, 4, 4, 2, 3, 4, 5], "41": [5, 1, 5, 1, 5, 5, 5, 1, 3, 2, 4, 5, 1, 5, 5, 2, 4]}