user_ids = 1..12;
group_ids = 1..2;
usersn = 12;
min_group_size = 2;
startAfter = 108;
max_wait = 6;
eta = 9;
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activity2_ids = 1..17069;
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time_slot_ids = 1..288;
activities1 = 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activities2 = 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distances = 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8,7,9,8,8,6,6,4,4,4,7,7,8,2,5,8,2,10,4,5,5,5,5,5,5,5,3,8,9,3,3,3,8,8,9,4,3,3,5,2,5,7,7,7,5,5,3,3,4,4,8,6,7,4,2,8,5,5,7,3,8,7,6,8,6,7,2,7,4,6,3,4,3,5,7,5,7,5,4,5,5,5|7,5,3,6,4,4,3,2,1,2,3,3,4,4,4,5,5,6,7,8,3,6,5,4,4,4,4,6,6,5,5,2,3,6,5,5,5,5,7,5,6,6,6,6,6,6,5,7,6,6,7,9,7,6,6,7,7,6,6,5,4,4,3,3,3,3,3,3,3,4,8,8,7,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,4,4,4,4,3,3,8,5,5,4,5,4,8,8,7,6,6,6,5,4,4,4,3,3,2,6,6,5,5,4,4,4,4,5,5,4,4,7,7,7,4,4,3,3,3,3,3,4,4,4,5,5,5,5,6,2,2,2,3,5,4,4,3,4,4,3,3,4,4,2,2,4,3,3,2,5,5,5,5,6,6,7,8,9,8,8,7,7,8,3,3,3,3,3,4,4,5,6,5,5,5,5,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,4,8,7,6,6,4,5,5,6,5,5,6,7,7,8,5,4,6,6,7,7,3,4,4,5,5,5,5,6,7,7,8,7,7,6,6,4,4,4,6,7,7,2,4,8,2,9,4,4,5,5,4,5,5,5,3,8,8,3,3,3,7,7,8,4,3,3,4,3,4,6,6,7,4,5,2,2,4,4,7,5,6,4,3,7,5,4,7,3,8,6,5,7,5,7,3,6,4,6,3,4,3,5,7,4,6,4,5,4,4,4|7,5,4,5,5,5,4,3,2,1,2,2,3,3,4,4,5,5,6,7,4,6,6,4,4,4,4,7,6,5,5,2,4,6,5,5,5,4,7,5,5,5,5,6,6,6,5,6,5,5,7,8,6,5,6,6,6,5,5,5,4,3,3,3,3,3,3,3,4,4,7,7,6,5,5,4,4,4,3,3,3,2,2,2,2,3,3,4,4,4,4,4,3,3,3,7,5,4,5,5,4,7,7,6,6,5,5,4,4,3,3,3,2,2,5,5,4,4,4,4,3,3,5,5,5,4,6,7,6,4,4,3,3,4,4,3,4,5,5,5,5,6,6,6,3,2,2,3,5,4,4,3,4,4,2,2,3,4,2,2,4,3,3,2,4,4,4,5,5,6,6,7,8,7,7,7,6,7,2,3,3,3,3,3,4,4,5,5,4,4,4,3,4,3,3,3,3,3,4,4,5,5,6,5,5,5,4,7,6,5,6,4,5,5,6,5,5,5,6,6,7,5,3,5,6,6,6,3,3,3,4,4,4,5,5,6,6,8,7,6,5,5,4,4,5,6,6,7,3,3,7,2,9,3,4,4,4,4,4,4,4,2,7,8,3,4,2,7,7,7,3,2,2,4,3,4,5,5,6,4,4,2,2,4,4,6,5,5,4,3,6,5,4,6,3,7,6,5,6,5,6,3,6,4,7,2,5,4,4,6,3,6,4,6,3,3,3|7,4,4,5,5,5,4,3,3,2,1,2,2,3,3,4,4,5,5,7,5,6,6,4,4,4,4,7,6,5,5,2,4,5,5,5,4,4,7,4,5,5,5,5,5,5,4,6,5,5,6,7,6,5,5,5,6,5,5,4,3,3,3,3,3,3,3,4,4,5,7,6,6,5,4,4,3,3,3,3,2,2,2,2,3,4,4,4,5,4,4,4,3,3,3,6,5,4,5,6,5,6,7,5,5,5,4,4,3,3,3,2,2,3,4,5,4,4,3,3,3,3,6,5,5,5,6,6,5,4,4,4,4,4,4,4,5,5,5,5,6,6,6,7,3,3,3,3,6,4,4,4,4,4,2,2,3,3,2,2,4,3,3,2,4,4,4,4,5,5,6,7,7,7,6,6,6,7,2,3,3,2,3,3,4,4,5,4,4,4,4,3,3,3,3,3,3,3,4,5,5,6,6,6,5,4,3,6,6,5,5,4,5,4,6,4,4,5,6,6,7,4,3,5,5,6,6,3,3,2,4,3,4,4,5,6,6,7,6,6,5,5,4,5,5,5,6,6,3,3,7,3,8,3,3,4,4,3,4,4,4,2,7,7,3,4,2,6,6,7,3,3,3,4,4,4,5,5,6,4,4,2,3,4,4,6,4,5,4,4,6,5,4,6,3,6,5,5,6,5,6,4,6,5,7,2,5,5,4,5,3,6,4,6,3,3,3|7,4,4,4,6,6,5,4,3,2,2,1,2,2,3,3,4,4,5,6,5,6,6,4,4,4,4,7,6,6,5,3,4,5,5,4,4,4,7,4,4,5,5,5,5,5,4,5,5,4,6,7,5,4,5,5,5,4,4,4,3,3,4,4,4,4,4,4,5,5,6,6,5,4,4,3,3,3,3,2,2,2,2,3,3,4,4,5,5,5,4,4,3,3,3,6,5,3,6,6,5,6,6,5,5,4,4,4,3,3,2,2,3,3,4,4,3,3,3,3,2,2,6,6,5,5,5,6,5,4,4,4,4,5,5,4,5,5,6,6,6,6,7,7,4,3,3,3,6,5,4,4,4,4,2,2,3,3,2,2,5,4,3,3,3,3,4,4,4,5,5,6,7,7,6,6,5,6,2,3,3,2,3,4,4,4,5,5,4,4,3,2,3,2,2,2,2,3,3,5,5,6,7,6,6,4,3,6,6,5,5,4,5,4,6,4,4,5,5,6,6,4,3,5,5,6,6,3,3,2,3,3,4,4,4,6,5,7,6,6,4,4,4,5,5,5,6,6,4,3,7,3,8,3,3,4,4,3,4,4,4,3,7,7,3,5,3,6,6,7,3,3,3,4,4,4,4,4,6,4,4,2,3,4,4,6,4,4,4,4,5,5,4,5,3,6,5,4,5,5,5,4,6,5,7,2,5,5,4,5,2,5,4,7,2,2,2|7,4,5,4,6,6,5,4,4,3,2,2,1,2,2,3,3,4,5,6,5,7,6,4,4,5,4,7,6,6,5,3,5,5,5,4,4,4,8,4,4,4,4,4,4,4,4,5,5,4,5,7,5,4,4,5,5,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,5,4,4,3,3,3,2,2,2,2,3,3,3,4,5,5,5,5,4,4,3,3,3,6,5,3,6,7,6,6,6,5,4,4,4,3,3,3,3,3,3,3,4,4,3,3,3,2,2,2,6,6,5,5,5,5,5,4,4,5,5,5,5,4,5,6,6,6,6,7,7,7,4,4,4,3,6,5,5,4,4,5,3,3,3,3,3,3,5,4,3,3,3,3,3,3,4,4,5,6,7,6,6,5,5,6,2,3,3,3,3,4,4,5,5,5,4,4,3,2,3,2,2,2,2,3,3,5,6,6,7,6,6,4,2,6,5,5,5,4,5,4,6,3,3,5,5,6,6,4,3,5,5,6,6,3,3,2,3,3,3,4,4,6,5,7,6,5,4,4,5,5,6,5,5,6,4,2,7,3,7,3,3,4,3,3,4,4,4,3,7,7,3,5,3,6,6,6,3,3,3,4,5,4,4,4,6,4,4,3,3,4,4,5,3,4,4,5,5,5,4,5,4,6,5,4,5,5,5,4,6,5,7,2,6,6,3,5,2,5,4,7,2,2,2|7,4,5,4,6,7,5,5,4,3,3,2,2,1,2,2,3,4,4,5,6,7,7,5,4,5,4,7,7,6,5,4,5,5,5,4,4,4,8,4,4,4,4,4,4,4,4,5,4,4,5,6,5,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,6,6,5,5,4,3,3,3,2,2,2,2,3,3,3,4,5,5,5,6,5,4,4,4,4,3,5,5,3,6,7,6,5,6,4,4,4,3,3,3,3,3,3,3,4,3,3,3,3,2,2,2,2,6,6,6,5,5,5,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,4,4,4,3,6,5,5,4,4,5,3,3,3,3,3,3,5,4,4,3,3,3,3,3,3,4,5,6,6,6,5,5,5,6,2,3,3,3,3,4,4,5,5,5,4,4,3,2,3,2,2,2,2,3,3,5,6,6,7,7,6,3,2,6,5,4,5,4,5,4,6,3,3,5,5,5,6,4,3,5,5,6,6,3,3,2,3,2,3,3,4,5,5,6,5,5,4,4,5,5,6,5,5,5,4,2,7,4,7,3,3,4,3,3,4,4,4,3,6,7,4,5,3,5,5,6,3,3,4,4,5,4,4,4,6,4,5,3,3,4,4,5,3,4,4,5,5,5,4,4,4,6,5,4,5,5,5,5,6,6,7,3,6,6,3,4,2,5,4,7,2,2,2|7,4,5,3,6,7,6,5,4,4,3,3,2,2,1,2,3,3,4,5,6,7,7,5,5,5,4,7,7,6,5,4,5,5,5,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,5,6,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,5,4,3,3,3,3,2,2,3,3,3,3,4,4,5,5,6,6,5,5,4,4,4,4,5,5,3,7,7,6,5,5,4,4,3,3,3,3,3,3,3,3,4,3,3,3,3,2,2,2,3,6,6,6,5,4,5,4,4,4,5,5,6,6,5,6,6,7,7,7,7,7,8,5,4,4,3,7,6,5,5,4,5,3,3,3,3,3,4,5,4,4,4,3,3,3,3,3,4,4,5,6,5,5,5,5,5,3,4,3,3,4,4,5,5,5,5,4,4,3,2,3,2,2,2,3,3,4,6,6,7,7,7,6,3,2,5,5,4,4,4,5,5,6,3,3,5,5,5,6,4,3,5,5,6,6,3,3,2,2,2,3,3,4,5,5,6,5,5,3,4,5,6,6,4,5,5,5,2,7,4,7,3,4,4,3,3,4,4,4,4,6,7,4,5,4,5,5,6,3,4,4,4,5,4,3,3,6,4,5,4,4,4,4,5,3,3,4,5,4,5,4,4,4,5,5,4,5,5,5,5,6,6,8,3,6,6,3,4,2,5,4,8,2,2,2|7,4,6,3,7,8,6,6,5,4,4,3,3,2,2,1,2,3,3,4,7,7,7,5,5,6,4,8,7,6,6,4,6,5,5,4,4,4,8,4,4,4,4,4,3,3,4,4,4,4,4,5,4,3,3,3,4,3,3,4,4,4,5,5,5,5,5,6,6,7,5,5,4,3,3,3,3,3,3,3,3,4,4,4,4,6,6,6,7,5,5,4,4,4,4,4,5,3,7,8,7,4,5,3,3,3,3,3,3,3,3,4,4,5,2,3,2,2,2,3,3,3,7,7,6,6,4,4,3,4,5,6,6,6,6,6,7,7,7,7,8,8,8,8,5,5,5,4,7,6,6,5,5,6,4,4,4,4,4,4,6,5,5,4,2,2,2,2,3,3,4,5,5,5,4,4,4,5,3,4,4,4,4,5,5,5,6,5,5,4,3,3,3,3,2,3,3,4,4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8,7,7,8,6,8,8,5,8,5,8,8,6,10,10,7,7,9,9,7,8,8,5,7,10,10,5,9,8,12,11,10,8,4,11,8,4,5,3,7,5,8,9,10,8,6,9,8,8,8,8|4,2,7,4,8,8,6,6,5,5,4,4,4,4,4,4,4,4,5,6,7,5,6,4,4,5,3,6,5,4,4,5,5,3,2,2,2,2,6,1,2,2,3,3,3,4,7,5,7,7,6,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,6,5,5,5,5,5,5,5,5,5,5,5,6,6,7,7,7,4,3,3,3,4,4,6,7,5,8,8,8,6,6,5,5,5,5,5,5,5,5,5,5,6,4,3,3,3,3,3,3,3,5,5,5,4,5,5,4,3,3,6,6,6,5,5,6,6,6,6,6,6,6,6,5,6,6,3,8,7,7,7,4,4,4,4,3,3,5,5,4,4,4,4,5,5,5,4,4,5,5,6,6,6,6,5,3,5,5,6,6,4,6,6,7,7,8,7,7,6,6,4,5,4,4,3,3,3,2,5,5,6,7,6,6,6,4,8,7,6,7,3,3,3,4,5,5,7,7,8,8,6,6,7,8,8,8,5,6,4,4,4,3,3,3,7,7,8,7,7,3,3,7,8,6,3,3,3,5,3,9,5,6,3,3,6,2,3,6,7,6,5,9,9,6,5,5,4,4,4,3,6,6,3,6,3,4,4,3,6,7,5,4,6,6,4,4,4,4,6,5,8,3,4,6,7,7,7,4,3,7,6,3,6,6,4,5,7,6,6,4,3,6,8,4,4,4|5,2,7,4,8,8,7,6,6,5,5,4,4,4,4,4,4,4,5,6,7,5,6,5,4,5,3,6,5,5,4,5,6,3,3,2,2,3,6,2,1,2,2,3,3,3,7,5,7,7,6,6,5,6,6,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,6,5,5,5,5,5,5,5,5,5,5,6,6,7,7,7,8,4,4,4,4,4,4,5,7,5,8,9,8,6,6,5,5,5,5,5,5,5,5,5,6,6,4,3,3,3,3,3,3,4,6,5,5,5,4,5,4,3,4,6,6,6,6,6,7,6,7,7,7,7,7,7,6,6,6,4,9,8,7,7,4,5,5,4,3,3,5,5,5,5,5,5,5,5,4,4,4,5,5,5,5,5,5,4,3,5,5,6,6,4,6,7,7,7,8,7,7,6,6,5,5,4,4,4,4,3,3,5,6,6,7,6,6,6,4,7,7,6,7,3,3,3,4,4,5,7,7,8,8,6,6,7,8,8,8,6,6,4,4,4,3,3,2,7,7,8,7,6,3,3,7,8,6,2,3,3,5,4,9,5,6,4,3,6,2,3,6,7,6,6,9,9,6,5,6,3,3,4,4,6,6,3,7,3,4,4,3,6,7,5,5,7,7,3,4,4,4,7,5,8,3,4,6,7,7,7,4,4,7,7,3,6,6,4,6,7,6,5,4,3,6,9,4,4,4|5,3,7,4,9,8,7,7,6,5,5,5,4,4,4,4,4,4,4,5,8,5,7,5,5,6,4,6,6,5,5,5,6,3,3,3,3,3,6,2,2,1,2,2,3,3,7,5,6,7,5,6,5,6,5,5,5,6,6,6,7,7,7,7,7,7,7,7,7,8,7,6,6,5,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,5,4,4,4,5,5,5,7,5,9,9,8,6,6,5,5,5,5,5,5,5,5,6,6,6,3,3,3,3,3,4,4,4,6,6,6,5,4,4,4,3,4,7,7,7,6,6,7,7,7,7,7,7,7,7,6,6,6,4,9,8,8,7,5,5,5,5,4,3,5,6,5,5,5,5,5,5,4,4,4,4,4,5,5,5,5,4,3,5,5,6,6,4,6,7,7,7,8,8,7,6,6,5,6,5,4,4,4,4,3,6,6,7,7,7,7,6,4,7,7,6,6,3,4,4,5,4,5,7,7,8,8,6,6,7,7,8,8,6,6,4,4,4,3,3,2,7,7,8,7,6,3,2,8,8,7,2,2,3,6,4,9,6,5,4,4,6,3,3,6,7,6,6,9,9,6,6,6,3,3,4,4,6,6,4,7,4,3,3,3,7,7,5,5,7,7,3,4,3,4,7,5,8,4,4,6,7,7,7,3,4,7,7,4,6,7,5,6,8,6,5,5,3,6,9,4,4,4|5,3,7,3,9,9,7,7,6,5,5,5,4,4,4,4,4,3,4,5,8,6,7,5,5,6,4,7,6,6,5,5,6,4,3,3,3,3,7,3,2,2,1,2,2,3,7,4,6,6,5,6,5,5,5,5,5,6,5,6,6,6,7,7,7,7,7,7,7,8,6,6,6,5,5,5,5,5,5,5,5,5,5,6,6,7,7,8,8,5,5,4,4,5,5,4,7,5,9,9,8,5,5,4,4,4,5,5,5,5,5,5,6,6,3,3,3,3,3,3,4,4,6,6,6,6,4,4,3,4,4,7,7,7,6,6,7,7,7,7,7,7,8,8,6,6,6,4,9,8,7,7,5,6,5,5,4,4,5,6,6,5,5,5,5,4,4,4,4,4,4,4,5,5,5,3,2,4,5,6,6,4,6,7,7,7,8,7,7,6,6,5,5,5,4,4,4,4,3,6,6,7,8,7,7,5,4,7,6,6,6,4,4,4,5,4,4,7,7,7,8,6,6,7,7,8,8,6,6,4,3,4,3,2,2,7,7,7,6,6,2,2,8,8,7,2,2,3,6,4,9,6,5,4,4,6,3,3,6,7,6,6,8,8,6,6,6,3,3,3,4,6,6,4,7,4,3,3,3,6,7,5,5,7,7,2,4,3,5,7,4,8,4,3,6,7,6,6,3,5,6,7,4,7,7,5,7,8,6,5,4,3,6,9,4,4,4|6,3,7,3,9,9,8,7,6,6,5,5,4,4,4,4,3,3,3,5,8,6,7,6,5,6,4,7,7,6,6,6,7,4,4,4,3,4,7,3,3,2,2,1,2,2,6,4,6,6,4,5,4,5,5,4,4,5,5,6,6,6,7,7,7,7,7,7,7,8,6,6,5,5,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,5,5,5,5,5,5,4,7,5,9,9,9,5,5,4,4,4,4,4,5,5,5,5,6,6,3,2,3,3,3,3,4,4,7,7,6,6,3,4,3,4,5,7,7,7,7,7,8,7,8,8,8,8,8,8,6,6,6,4,9,8,8,7,5,6,5,5,4,4,5,6,6,6,5,5,4,4,4,3,3,4,3,4,4,4,4,3,2,4,5,6,6,5,6,7,7,7,8,7,7,6,6,5,5,4,4,4,4,4,4,6,7,7,8,8,7,5,4,6,6,6,6,4,5,4,6,4,4,6,7,7,7,6,6,7,7,7,8,6,6,4,3,3,3,2,2,6,6,7,6,6,2,2,8,8,7,2,3,3,6,4,8,6,5,4,4,6,3,3,6,6,6,6,8,8,6,6,6,3,3,3,4,6,6,4,7,4,3,3,4,6,7,6,5,7,7,2,3,3,5,7,4,8,4,3,6,6,6,6,2,5,6,7,5,7,8,5,7,8,6,4,4,3,6,10,4,4,4|6,4,8,2,9,9,8,7,6,6,5,5,4,4,4,3,3,3,3,4,8,6,8,6,6,6,5,7,7,6,6,6,7,4,4,4,4,4,8,3,3,3,2,2,1,2,6,4,6,6,4,5,4,5,4,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,6,5,5,4,4,5,5,4,5,5,5,5,6,6,6,7,8,8,8,6,5,5,5,5,5,4,7,5,9,9,9,4,5,4,4,4,4,4,5,5,5,5,6,6,3,2,3,3,3,4,4,4,7,7,7,6,3,3,2,4,5,7,7,7,7,7,8,8,8,8,8,8,8,8,7,7,6,4,9,8,8,7,5,6,5,5,4,4,6,6,6,6,6,6,4,4,4,3,3,3,3,4,4,4,4,3,2,3,5,6,6,5,6,7,7,7,7,7,7,6,5,4,5,4,4,4,4,4,4,7,7,8,8,8,8,5,4,6,6,5,6,4,5,5,6,4,4,6,7,7,7,6,6,7,7,7,7,6,6,4,3,3,3,3,2,6,6,7,6,5,2,2,7,8,8,3,3,3,6,4,8,6,5,4,4,6,3,4,6,6,6,6,8,8,6,7,6,3,3,3,5,6,6,5,7,5,2,2,4,6,7,6,6,6,7,3,3,2,5,7,4,8,4,2,7,6,6,6,2,5,6,7,5,7,8,5,7,8,6,4,4,4,6,10,4,4,4|7,4,8,2,9,9,8,7,6,6,5,5,4,4,4,3,3,2,3,4,8,7,8,6,6,7,5,8,7,7,6,6,7,5,4,4,4,4,8,4,3,3,3,2,2,1,6,3,5,6,4,4,4,4,4,4,4,5,5,5,6,6,7,7,7,7,7,7,8,8,5,5,5,4,4,4,4,4,5,5,5,5,6,6,6,7,8,8,8,6,6,5,5,5,6,3,7,5,9,10,9,4,4,3,3,4,4,4,5,5,5,5,6,6,2,2,3,3,3,4,4,4,7,7,7,7,3,3,2,4,5,7,7,7,7,7,8,8,8,8,8,8,9,9,7,7,6,5,9,8,8,7,6,6,5,5,4,4,6,6,6,6,6,6,4,4,3,3,3,3,3,3,4,4,3,2,3,3,5,6,6,5,6,6,7,7,7,7,6,6,5,4,5,4,4,4,4,4,4,7,7,8,9,8,8,5,4,6,5,5,5,5,5,5,6,3,4,6,6,7,7,6,6,6,7,7,7,6,6,4,3,3,3,3,3,6,6,6,5,5,2,2,7,8,8,3,3,3,7,4,8,6,4,4,5,5,4,4,6,6,6,6,7,7,6,7,6,3,3,4,5,6,6,5,8,5,2,2,4,6,7,6,6,6,6,3,3,2,6,7,3,7,5,2,7,6,6,6,2,6,5,7,5,7,8,5,8,8,5,4,4,4,6,10,4,4,4|9,7,5,5,6,7,6,6,5,5,4,4,4,4,4,4,5,5,5,6,7,9,9,7,7,7,7,10,9,8,8,5,7,8,7,7,7,6,10,7,7,7,7,6,6,6,1,5,3,2,5,6,5,3,4,4,5,3,3,2,3,3,4,4,4,5,5,6,7,7,5,5,4,4,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,6,6,6,6,6,2,3,7,7,6,5,6,5,5,4,4,3,3,3,3,4,4,4,5,5,5,5,5,5,5,5,9,8,8,8,6,6,6,6,7,6,6,7,7,6,7,8,8,8,9,9,9,10,6,5,5,5,6,5,4,4,7,7,5,5,6,6,5,4,7,6,6,5,3,4,4,4,5,5,6,6,7,7,6,6,7,7,4,4,3,5,3,3,3,3,3,3,3,2,2,4,3,4,4,5,5,6,6,8,8,8,9,9,8,3,4,4,4,3,3,7,7,7,9,4,4,2,3,3,4,2,3,2,2,3,3,3,3,4,5,4,5,6,6,4,3,5,4,4,6,6,4,4,8,7,7,8,6,5,4,5,8,5,6,2,6,5,2,2,2,4,4,5,4,7,4,8,7,8,6,4,4,7,6,7,5,5,8,3,3,5,5,3,3,7,4,5,7,6,5,3,6,6,4,4,3,2,7,8,3,5,8,8,10,5,8,7,2,4,4,8,2,8,4,4,4|8,6,8,3,9,10,9,8,7,6,6,5,5,5,4,4,3,3,2,2,9,9,9,8,7,8,6,9,9,8,8,7,8,6,6,6,6,6,10,5,5,5,4,4,4,3,5,1,4,5,2,3,2,3,3,3,2,4,4,5,6,6,7,7,7,7,8,8,9,9,4,3,3,3,4,4,4,4,5,5,5,6,6,6,7,8,8,8,9,7,7,6,6,7,7,2,6,5,10,10,9,2,3,2,2,3,3,4,5,5,5,6,6,7,3,3,4,4,4,5,5,5,9,9,8,8,2,2,3,6,7,8,8,8,8,8,9,9,9,9,10,10,10,10,8,7,7,6,9,8,8,7,7,8,6,6,6,6,6,6,8,7,7,7,4,4,3,3,3,2,2,3,4,3,2,3,4,3,6,6,6,6,6,6,7,7,7,7,6,5,5,5,5,5,5,5,5,6,6,8,9,9,10,9,9,4,4,4,4,4,4,6,7,7,8,3,3,5,5,5,6,5,5,6,6,6,6,6,6,5,4,4,4,4,4,5,5,5,4,3,4,4,7,8,9,5,5,5,8,5,7,7,4,6,6,5,5,5,5,6,5,6,6,6,7,8,6,5,4,5,6,6,7,6,8,7,3,3,6,6,7,6,7,6,6,4,3,3,7,8,2,7,6,3,7,4,5,5,4,7,4,8,7,9,10,6,9,9,5,3,5,6,5,11,5,5,5|9,7,6,5,7,8,7,7,6,5,5,5,5,4,4,4,4,5,4,5,8,9,9,7,7,8,7,10,9,9,8,6,8,8,7,7,7,6,10,7,7,6,6,6,6,5,3,4,1,2,4,5,4,3,3,3,4,2,2,2,4,4,5,5,5,6,6,7,8,8,4,4,3,3,3,3,3,3,4,4,4,4,5,5,5,6,6,7,7,8,7,7,6,6,6,5,3,3,8,8,7,4,4,4,4,3,3,3,3,4,4,4,5,5,5,5,5,5,5,5,5,5,9,9,8,8,5,5,5,6,7,7,7,8,8,7,8,8,9,9,9,10,10,10,7,6,6,6,7,6,5,5,7,8,6,6,6,6,5,5,8,7,6,6,3,3,4,4,4,4,5,6,7,6,5,6,6,6,5,5,4,6,4,4,4,4,4,4,4,3,3,4,3,4,5,5,5,6,6,8,9,9,10,9,9,3,4,3,3,2,2,7,8,7,9,4,3,2,2,3,3,3,4,3,3,3,3,4,4,5,4,4,5,5,6,3,2,4,3,3,5,6,5,5,8,7,7,7,7,5,4,6,7,6,6,3,6,5,3,3,3,5,4,4,5,8,5,7,7,7,6,5,5,7,7,7,5,5,8,4,4,5,6,4,4,7,4,5,7,7,4,4,7,5,5,3,2,2,6,8,2,6,8,8,10,5,9,8,3,3,4,8,3,9,4,4,4|9,7,5,5,6,8,7,6,6,5,5,4,4,4,4,4,4,5,5,5,7,9,9,7,7,7,7,10,9,8,8,6,7,8,7,7,7,6,10,7,7,7,6,6,6,6,2,5,2,1,5,6,5,3,3,4,4,2,3,2,3,4,4,4,5,5,5,6,7,8,5,4,4,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,7,6,6,6,6,6,3,3,7,7,7,5,5,4,4,4,3,3,3,3,4,4,4,5,5,5,5,5,5,5,5,5,9,8,8,8,6,6,5,6,7,7,7,7,7,7,8,8,8,9,9,9,9,10,6,6,5,6,6,5,5,5,7,7,5,5,6,6,5,5,8,6,6,6,3,3,4,4,4,4,5,6,7,6,5,6,7,6,4,4,4,5,4,4,4,4,3,4,3,3,3,4,3,4,4,5,5,6,6,8,8,9,9,9,9,3,4,4,3,2,3,7,7,7,9,4,3,2,2,3,4,2,3,2,2,3,3,4,3,4,4,4,5,6,6,3,3,4,4,4,6,6,5,5,8,7,7,7,6,5,4,5,8,5,6,2,6,5,3,2,2,4,4,4,4,7,4,7,7,8,6,4,5,7,6,7,5,5,8,3,3,5,6,3,3,7,4,5,7,6,5,4,6,5,5,4,2,2,6,8,3,6,8,8,10,5,8,7,2,4,4,8,3,9,4,4,4|9,6,8,3,9,10,9,8,7,7,6,6,5,5,5,4,4,3,3,2,9,9,10,8,8,8,7,10,9,9,8,7,8,7,7,6,6,6,10,6,6,5,5,4,4,4,5,2,4,5,1,3,2,3,3,2,2,4,4,5,6,6,7,7,7,8,8,8,9,9,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,8,8,9,9,8,7,7,7,7,7,2,6,5,10,10,9,2,2,2,3,3,3,4,5,5,6,6,6,7,4,4,4,5,5,5,5,6,9,9,9,8,3,3,3,6,7,8,9,9,9,8,9,9,10,10,10,10,10,11,8,7,7,6,9,8,8,7,7,8,7,6,6,6,7,7,8,7,7,7,4,4,4,4,3,3,2,3,4,3,2,3,5,3,6,6,6,6,6,6,7,7,7,7,6,5,5,5,5,5,5,5,6,6,6,9,9,10,10,10,9,4,5,4,4,4,4,7,7,7,8,3,3,5,5,5,5,5,6,5,5,6,6,6,6,5,4,4,5,5,5,4,4,4,3,3,4,5,7,8,9,5,5,6,8,5,6,7,4,6,6,5,6,5,5,5,5,7,6,5,7,8,6,5,5,5,6,7,7,7,8,7,3,3,7,6,6,7,7,6,6,5,3,3,7,8,2,7,7,3,7,4,4,5,4,8,4,8,7,9,10,6,9,9,5,2,5,6,5,11,5,5,5|10,7,9,4,10,11,10,9,9,8,7,7,7,6,6,5,5,4,4,2,10,10,11,9,9,9,8,11,10,10,9,8,10,8,7,7,7,7,11,7,6,6,6,5,5,4,6,3,5,6,3,1,3,4,4,4,3,5,5,6,7,8,8,8,8,9,9,10,10,11,3,3,4,4,5,5,6,6,6,6,7,7,7,8,8,9,9,10,10,9,8,8,8,8,8,3,7,6,11,11,11,3,2,3,4,4,5,5,6,6,7,7,7,8,5,5,5,6,6,6,6,7,10,10,10,9,3,3,4,7,8,10,10,10,10,9,10,11,11,11,11,11,11,12,9,9,8,7,10,9,9,8,8,9,8,8,7,7,8,8,9,9,8,8,5,5,5,5,4,4,3,3,4,3,3,4,5,3,7,8,7,7,7,8,8,8,8,8,7,6,6,6,6,6,6,6,7,7,7,10,10,11,11,11,11,5,6,5,5,5,5,8,8,8,9,5,5,6,6,6,6,6,7,6,6,7,7,7,7,6,5,5,6,6,6,5,5,5,4,4,5,5,9,9,10,6,6,6,9,6,7,8,4,7,7,6,7,6,7,7,6,8,6,6,8,10,8,6,5,5,8,8,8,8,10,8,4,4,7,7,8,8,8,7,8,5,5,4,8,10,3,8,8,4,8,4,5,6,5,9,5,9,8,10,11,7,10,11,6,4,6,7,7,12,6,6,6|9,6,8,3,9,10,9,8,7,6,6,5,5,5,4,4,3,3,2,2,9,9,9,8,7,8,6,10,9,9,8,7,8,7,6,6,6,6,10,6,5,5,5,4,4,4,5,2,4,5,2,3,1,3,3,2,2,4,3,4,6,6,7,7,7,7,8,8,9,9,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,8,8,8,9,8,7,7,7,7,7,2,6,4,9,10,9,2,2,2,2,3,3,4,5,5,5,6,6,7,4,4,4,4,5,5,5,5,9,9,8,8,3,3,3,6,7,8,8,8,8,8,9,9,9,10,10,10,10,10,8,7,7,6,9,8,8,7,7,8,6,6,6,6,6,6,8,7,7,7,4,4,3,3,3,2,2,3,4,3,2,3,5,3,6,6,6,6,6,6,7,7,6,7,6,5,5,5,5,5,5,5,6,6,6,8,9,10,10,10,9,4,4,4,4,4,4,6,7,7,8,3,3,5,5,5,5,5,5,5,5,6,6,6,6,5,4,4,4,5,5,4,4,4,3,3,4,4,7,8,9,5,5,5,8,5,6,7,4,6,6,5,5,5,5,5,5,6,6,6,7,8,6,5,5,5,6,6,7,6,8,7,3,3,6,6,6,6,7,6,6,5,3,3,7,8,2,7,6,3,7,4,4,5,4,8,4,8,7,9,10,6,9,9,5,2,5,6,5,11,5,5,5|9,6,6,4,8,9,7,7,6,5,5,4,4,4,4,3,3,4,3,4,8,9,9,7,7,7,6,9,9,8,8,6,7,7,7,6,6,6,10,6,6,6,5,5,5,4,3,3,3,3,3,4,3,1,2,2,3,2,2,3,4,5,5,5,6,6,6,7,8,8,4,3,2,2,2,3,3,3,3,4,4,4,5,5,5,6,7,7,7,7,7,6,6,6,6,4,4,3,8,9,8,3,4,3,3,2,2,2,3,4,4,4,5,6,4,4,4,4,4,4,5,5,9,8,8,8,4,4,4,6,6,7,7,7,8,7,8,8,9,9,9,9,9,10,7,6,6,5,7,6,6,6,7,7,5,5,5,5,5,5,7,6,6,6,3,3,3,3,3,3,4,5,6,5,4,5,5,5,5,5,4,5,5,5,5,5,5,5,4,4,3,4,3,4,4,4,5,5,6,8,8,9,9,9,9,2,3,3,3,2,2,6,7,7,8,3,2,3,3,4,4,3,4,4,4,4,4,4,4,4,3,4,4,5,5,3,3,4,3,3,5,5,6,6,8,6,6,6,7,4,5,6,6,5,6,3,5,5,4,4,4,5,5,5,5,7,5,6,6,6,6,5,5,6,7,6,4,4,7,4,5,5,6,5,5,6,3,4,6,7,3,5,6,4,5,3,3,3,5,8,3,7,8,8,10,5,8,8,3,2,4,7,4,9,4,4,4|9,6,7,3,8,9,8,7,6,6,5,5,4,4,4,3,3,3,3,3,8,9,9,7,7,7,6,9,9,8,8,6,8,7,6,6,6,6,10,6,6,5,5,5,4,4,4,3,3,3,3,4,3,2,1,2,2,3,2,3,5,5,5,6,6,6,7,7,8,8,3,3,2,2,2,3,3,3,4,4,4,5,5,5,6,7,7,7,8,7,7,6,6,6,6,4,5,3,8,9,8,3,3,2,2,2,2,3,4,4,4,5,5,6,4,4,4,4,4,4,5,5,9,8,8,8,4,4,4,6,7,7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3,3,3,3,2,3,3,4,4,6,6,5,5,5,4,7,3,4,5,5,4,7,7,6,6,5,5,4,3,3,3,3,2,3,6,6,5,5,5,5,4,4,7,7,6,6,7,7,7,6,6,4,5,5,5,5,5,6,6,6,7,7,7,8,4,3,3,5,4,3,3,2,5,6,4,4,5,5,3,3,6,5,4,4,4,5,5,5,6,6,7,8,9,8,7,7,7,8,3,2,2,4,2,2,2,3,4,3,3,3,3,4,3,4,4,4,4,5,5,6,6,7,7,7,7,4,4,6,6,5,5,6,7,6,8,5,5,4,5,5,6,4,3,4,4,5,5,2,2,4,5,5,6,6,6,6,5,7,6,6,6,6,2,3,6,7,7,8,4,4,6,3,9,5,5,3,6,5,3,3,3,2,6,7,2,5,3,8,8,8,5,2,2,6,4,6,6,6,8,3,3,3,4,2,2,7,5,6,5,4,7,3,5,7,2,6,5,4,7,7,5,3,8,6,8,4,6,5,3,6,4,7,3,6,4,4,4|8,6,2,6,4,5,4,3,3,3,3,4,4,4,4,5,5,6,7,7,4,8,7,5,5,5,6,8,8,7,6,4,5,7,7,6,6,6,9,6,7,7,7,7,7,7,4,7,5,4,7,8,7,5,6,6,6,5,5,4,3,2,2,1,2,2,3,4,4,5,7,7,6,5,5,4,4,4,4,3,3,3,3,2,2,3,3,3,4,6,6,5,5,5,4,8,4,4,4,5,4,7,7,6,6,6,5,5,4,3,3,3,3,2,6,6,5,5,5,5,5,4,7,7,6,6,7,7,7,6,5,4,4,5,5,4,5,6,6,6,7,7,7,8,4,3,3,5,4,3,2,2,5,5,4,4,5,5,3,3,6,5,4,4,5,5,5,5,6,6,7,8,9,8,7,7,7,8,3,2,2,4,2,2,2,3,4,3,3,3,4,4,4,4,4,5,4,5,5,6,6,6,7,7,6,4,4,6,6,5,5,6,6,6,8,5,5,5,5,6,6,4,3,4,5,5,5,3,3,4,5,5,6,6,6,6,6,7,6,6,6,6,2,3,6,7,8,8,4,5,6,3,9,5,5,4,6,5,3,4,3,2,6,7,2,5,2,8,8,9,5,2,2,6,3,6,6,6,8,3,3,3,4,2,2,8,5,6,5,4,7,3,5,7,2,6,5,4,7,7,6,3,8,6,8,4,6,4,4,6,4,7,3,6,4,4,4|8,6,2,6,4,5,4,3,3,3,3,4,4,4,4,5,6,6,7,8,4,8,7,5,5,5,5,8,7,7,6,3,5,7,7,6,6,6,9,6,7,7,7,7,7,7,4,7,5,5,7,8,7,6,6,6,7,5,5,5,3,2,2,2,1,2,2,3,4,4,8,7,7,5,5,4,4,4,4,4,3,3,3,2,2,2,3,3,3,6,5,5,5,4,4,8,4,4,4,4,4,7,8,6,6,6,5,5,4,3,3,3,3,2,6,6,5,5,5,5,5,4,7,6,6,6,7,8,7,5,5,4,4,4,5,4,5,5,6,6,6,7,7,7,4,3,2,4,4,3,2,2,5,5,4,4,5,5,3,3,5,4,4,4,5,5,5,5,6,6,7,8,9,8,8,8,7,8,3,2,3,4,3,3,3,3,4,3,3,4,4,4,4,4,5,5,4,5,5,6,6,6,7,6,6,5,4,7,6,5,6,6,6,6,7,5,5,5,6,6,7,4,3,5,5,5,6,3,3,4,5,5,6,6,6,6,6,7,7,7,6,6,3,3,5,7,8,8,4,5,6,3,10,4,5,4,6,5,4,4,4,2,7,7,2,5,2,8,8,9,5,2,2,5,3,6,6,6,8,3,3,3,4,3,3,8,5,6,5,3,7,3,5,7,2,7,6,4,8,7,6,3,8,5,8,4,6,4,4,6,4,7,4,5,4,4,4|8,6,2,6,3,4,3,3,3,3,3,4,4,4,5,5,6,6,7,8,3,8,6,5,5,5,5,7,7,6,6,3,4,7,7,6,6,6,8,6,7,7,7,7,7,7,5,7,6,5,8,9,7,6,6,7,7,5,6,5,3,3,3,2,2,1,2,3,4,4,8,7,7,6,5,5,5,4,4,4,3,3,3,3,2,2,2,3,3,6,5,5,5,4,4,8,4,4,4,4,3,8,8,7,6,6,6,5,4,4,3,3,3,2,6,6,6,5,5,5,5,4,6,6,6,5,8,8,7,5,5,3,4,4,4,4,4,5,5,5,6,6,6,7,3,2,2,4,4,3,2,2,5,5,3,4,5,5,3,3,5,4,4,3,5,5,5,6,6,7,7,8,9,9,8,8,8,8,3,3,3,4,3,3,3,4,5,4,4,4,4,4,4,4,5,5,4,5,5,5,6,6,6,6,6,5,5,7,7,6,6,6,6,6,7,6,6,5,6,6,7,5,4,5,5,6,6,3,3,4,6,5,6,6,6,7,6,8,7,7,6,7,3,3,5,7,8,8,3,5,7,3,10,4,5,4,6,5,4,4,4,2,7,8,2,5,3,8,8,9,5,2,2,5,3,6,7,7,8,4,4,3,3,3,3,8,6,7,5,3,7,4,5,7,2,7,6,5,8,7,6,2,7,5,7,4,6,4,4,7,4,7,4,5,5,4,4|8,6,2,7,3,4,3,2,3,3,3,4,4,5,5,5,6,7,7,8,3,7,6,5,5,5,5,7,7,6,6,3,4,7,7,6,6,6,8,6,7,7,7,7,7,7,5,8,6,5,8,9,8,6,7,7,7,6,6,5,4,3,3,3,2,2,1,3,3,4,8,8,7,6,6,5,5,5,4,4,4,3,3,3,3,2,2,2,3,5,5,5,5,4,4,8,5,5,3,4,3,8,8,7,7,6,6,6,4,4,4,4,3,2,6,7,6,6,5,5,5,5,6,6,5,5,8,8,7,5,5,3,3,4,4,3,4,5,5,5,6,6,6,7,3,2,2,4,4,3,3,3,5,5,4,4,5,5,3,3,5,4,4,3,5,6,6,6,6,7,8,9,9,9,8,8,8,9,4,3,3,4,3,3,4,4,5,4,4,4,5,4,4,4,5,5,4,5,5,5,5,6,6,6,5,5,5,8,7,6,6,6,6,6,7,6,6,6,6,7,7,5,4,6,6,6,6,3,4,4,6,5,6,6,7,7,7,8,7,7,7,7,3,3,5,7,8,8,3,5,7,3,10,5,5,5,6,5,4,5,5,3,7,8,3,4,3,8,8,9,5,3,3,5,2,5,7,7,8,4,4,3,3,4,4,8,6,7,5,3,8,4,5,7,2,8,6,5,8,6,7,2,7,5,7,4,5,3,5,7,4,7,4,5,5,5,5|7,6,3,7,4,3,2,2,3,3,4,4,5,5,5,6,7,7,8,9,2,7,5,4,4,4,5,6,6,5,5,3,3,7,6,6,6,5,7,6,7,7,7,7,7,7,6,8,7,6,8,10,8,7,7,8,8,7,7,6,5,4,4,4,3,3,3,1,2,3,9,9,8,7,7,6,6,5,5,5,4,4,4,4,3,3,3,3,3,5,5,5,4,4,4,9,6,6,3,4,3,9,9,8,7,7,7,6,5,5,4,4,4,3,7,7,6,6,6,5,5,5,5,5,5,4,8,9,8,5,5,2,2,3,3,2,3,3,4,4,5,5,5,6,2,2,3,4,4,4,4,4,4,4,4,4,5,5,3,3,4,3,3,3,6,6,6,6,7,7,8,9,10,9,9,8,8,9,4,4,4,4,4,4,5,5,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,5,5,4,6,5,8,8,7,7,5,6,6,6,6,6,7,7,8,8,6,5,7,7,7,8,4,5,5,6,6,6,6,7,8,8,9,8,8,7,7,4,5,4,7,8,8,3,5,8,3,10,5,5,6,6,5,5,6,5,3,8,9,4,3,4,8,8,9,4,4,3,5,2,5,7,7,8,5,5,3,3,5,5,8,6,7,4,2,8,5,5,8,3,8,7,6,8,6,8,2,7,4,6,4,4,2,6,8,5,7,5,4,5,5,5|7,6,4,7,4,3,2,2,3,4,4,5,5,5,6,6,7,7,8,9,2,6,5,4,4,3,5,6,6,5,5,3,3,7,6,6,6,6,7,6,7,7,7,7,8,8,7,9,8,7,9,10,9,8,8,8,8,7,7,7,5,5,5,4,4,4,3,2,1,2,10,9,9,7,7,6,6,6,6,5,5,5,4,4,4,3,3,3,3,5,5,5,4,4,4,9,7,6,4,4,3,9,9,8,8,7,7,7,6,5,5,5,4,4,7,7,6,6,6,6,5,5,5,4,4,4,9,9,8,5,5,2,2,2,3,2,2,3,3,3,4,4,4,5,3,3,3,5,5,4,4,4,4,4,4,4,5,5,4,4,4,3,3,3,7,7,7,7,7,8,8,9,10,10,9,9,8,9,5,4,5,4,5,5,5,6,7,6,6,6,6,5,6,5,6,5,5,5,5,4,4,4,4,4,4,7,6,9,9,8,8,5,5,5,6,7,7,8,8,8,9,7,6,7,8,8,8,5,5,5,7,6,6,6,7,9,8,10,9,9,7,7,5,5,3,8,8,8,3,6,9,3,11,5,5,6,6,6,6,6,6,4,9,10,4,3,4,8,8,9,4,4,4,5,3,5,8,8,8,6,6,4,4,5,5,8,7,8,4,2,9,6,5,8,4,9,8,7,8,6,8,3,7,3,6,4,4,2,6,8,5,7,6,4,6,5,6|7,7,4,8,4,2,2,3,4,4,5,5,6,6,6,7,7,8,9,10,2,7,5,4,4,4,5,6,6,5,5,4,3,7,7,7,6,6,7,7,7,8,8,8,8,8,7,9,8,8,9,11,9,8,8,9,9,8,8,7,6,5,5,5,4,4,4,3,2,1,10,10,9,8,8,7,7,6,6,6,5,5,5,5,5,4,4,3,3,5,5,5,5,4,4,10,7,7,4,4,3,10,10,9,8,8,8,7,6,6,6,5,5,4,8,8,7,7,6,6,6,6,5,5,4,4,9,9,9,6,5,3,2,3,3,3,2,3,3,3,4,4,4,5,3,4,4,5,5,5,5,5,4,4,4,5,5,6,4,4,4,4,4,4,7,7,7,7,8,8,9,10,11,10,10,9,8,10,5,5,5,5,5,6,6,6,7,6,6,7,7,6,6,6,6,6,5,5,6,4,4,4,4,4,4,7,6,10,9,8,8,6,6,6,6,7,7,8,8,9,10,7,6,8,8,8,9,5,6,6,7,7,7,7,7,9,9,10,9,9,8,8,5,6,3,8,8,9,3,6,9,4,11,5,5,7,6,6,7,7,7,5,10,10,5,3,5,9,9,10,5,5,4,5,3,5,8,8,8,6,6,4,4,6,6,9,7,8,5,3,9,6,5,9,4,10,8,7,9,6,9,3,7,3,6,5,4,2,7,9,6,8,6,3,6,6,6|10,7,8,5,9,11,9,9,8,7,7,6,6,6,6,5,5,5,4,3,10,10,11,9,9,9,8,11,11,10,9,8,9,8,8,8,7,7,12,7,7,7,6,6,6,5,5,4,4,5,3,3,3,4,3,3,3,4,4,5,6,7,7,7,8,8,8,9,10,10,1,2,3,4,4,5,5,5,5,6,6,6,7,7,7,8,9,9,9,9,9,8,8,8,8,4,6,5,10,10,10,3,3,4,4,4,4,4,5,6,6,6,7,8,5,5,6,6,6,6,6,7,10,10,10,10,4,4,5,8,8,9,9,10,10,9,10,10,11,11,11,11,11,12,9,8,8,7,9,8,8,8,8,9,7,7,7,7,7,7,9,8,8,8,5,5,5,5,4,4,4,4,5,4,4,5,6,5,7,7,6,7,7,7,7,7,6,7,6,5,5,6,5,6,6,6,7,7,7,10,10,11,11,11,11,4,5,3,3,4,3,8,9,8,10,4,4,4,4,4,4,5,6,5,5,5,5,6,6,6,5,5,6,6,6,3,4,3,2,2,6,6,8,8,10,7,7,7,9,6,5,8,6,7,8,5,7,7,5,5,5,7,5,4,7,9,7,7,7,7,8,7,7,8,9,8,5,5,8,6,6,7,8,6,6,6,5,5,8,9,4,7,8,5,7,3,4,5,6,9,3,9,9,10,12,7,10,10,5,3,6,8,6,11,6,6,6|10,7,8,4,9,10,9,8,8,7,6,6,6,5,5,5,4,4,4,3,9,10,10,8,8,9,7,11,10,10,9,7,9,8,8,7,7,7,11,7,7,6,6,6,5,5,5,3,4,4,3,3,3,3,3,3,3,4,3,4,6,6,7,7,7,7,8,9,9,10,2,1,2,3,4,4,4,5,5,5,6,6,6,7,7,8,8,9,9,9,8,7,7,7,7,4,5,5,10,10,9,3,3,3,3,3,4,4,5,5,6,6,6,7,5,5,5,5,5,6,6,6,10,10,9,9,4,4,4,7,8,9,9,9,9,9,10,10,10,10,11,11,11,11,8,8,7,7,9,8,8,7,8,9,7,7,7,7,7,7,9,8,8,7,4,4,4,4,4,4,4,4,5,4,3,5,6,5,6,6,6,7,6,6,6,6,6,6,6,5,5,5,5,5,5,6,6,7,7,9,10,10,11,10,10,4,5,3,3,3,3,7,8,8,9,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,5,5,6,6,6,3,3,3,2,2,5,6,7,7,10,6,7,7,8,6,5,7,6,6,7,5,7,6,5,5,5,7,5,4,7,9,6,6,6,6,7,7,7,7,8,8,4,4,8,6,6,7,7,6,6,6,4,4,8,9,3,7,7,4,7,3,3,4,5,9,3,8,9,10,11,7,10,9,5,3,5,7,5,11,5,5,5|9,7,7,4,8,10,8,8,7,6,6,5,5,5,4,4,4,4,3,3,9,9,10,8,8,8,7,10,10,9,8,7,8,8,7,7,7,6,11,6,6,6,6,5,5,5,4,3,3,4,3,4,3,2,2,2,2,3,3,4,5,6,6,6,7,7,7,8,9,9,3,2,1,3,3,4,4,4,4,5,5,5,6,6,6,7,8,8,8,8,8,7,7,7,7,4,5,4,9,9,9,3,3,3,3,3,3,3,4,5,5,5,6,6,4,4,5,5,5,5,5,6,9,9,9,8,4,4,4,7,7,8,8,8,9,8,9,9,10,10,10,10,10,11,8,7,7,6,8,7,7,6,7,8,6,6,6,6,6,6,8,7,7,7,3,3,4,4,3,3,4,4,5,4,3,5,6,5,5,6,5,6,5,6,6,6,5,6,5,4,4,5,4,5,5,5,6,6,6,9,9,10,10,10,9,3,4,3,2,3,3,7,8,7,9,3,3,4,4,4,4,4,5,4,4,4,5,5,5,5,4,4,5,5,5,3,3,3,2,2,5,5,7,7,9,6,6,6,8,5,5,7,6,6,7,4,6,6,4,4,4,6,5,4,6,8,6,6,6,6,6,6,6,7,8,7,4,4,7,5,5,6,7,5,5,6,4,4,7,8,3,6,7,4,6,3,3,4,5,8,3,8,8,9,11,6,9,9,4,2,5,7,5,10,5,5,5|8,6,6,3,7,8,7,6,6,5,5,4,4,4,3,3,3,3,3,4,8,8,9,7,6,7,6,9,9,8,7,6,7,7,6,6,6,5,10,5,5,5,5,5,4,4,4,3,3,3,3,4,3,2,2,2,3,2,2,3,4,5,5,5,5,6,6,7,7,8,4,3,3,1,2,3,3,3,3,4,4,4,4,5,5,6,7,7,7,7,6,6,6,6,6,4,4,3,8,8,8,3,4,3,2,2,2,2,3,3,4,4,4,5,3,4,4,4,4,4,4,4,8,8,8,7,4,4,4,6,6,7,7,7,7,7,8,8,8,8,9,9,9,10,6,6,6,5,7,6,6,5,6,7,5,5,5,5,5,5,7,6,6,6,2,2,2,3,3,3,3,4,5,5,4,4,5,5,4,5,4,5,4,5,5,5,5,5,4,3,3,3,3,4,4,4,5,5,5,8,8,9,9,9,8,2,3,4,3,2,3,6,7,6,8,2,2,3,4,4,4,3,4,4,4,4,5,4,4,4,3,3,4,4,5,3,3,4,3,3,4,4,6,6,8,5,6,6,6,4,5,6,6,5,5,3,5,4,4,4,3,5,5,5,5,7,5,6,6,6,5,5,5,6,7,6,3,3,7,4,5,5,6,4,5,5,3,4,6,7,3,5,6,4,5,4,3,3,5,7,3,6,7,8,9,5,8,8,3,2,4,6,4,9,4,4,4|8,5,6,3,7,8,7,6,6,5,4,4,4,3,3,3,3,3,3,4,7,8,8,6,6,7,6,9,8,8,7,5,7,7,6,6,5,5,9,5,5,5,5,5,4,4,3,4,3,3,4,5,3,2,2,3,3,2,2,3,4,4,5,5,5,5,6,7,7,8,4,4,3,2,1,2,2,3,3,3,4,4,4,5,5,6,6,7,7,7,6,6,5,5,5,4,4,2,8,8,7,4,4,3,3,2,2,2,3,3,4,4,4,5,3,4,4,4,4,4,4,4,8,8,7,7,4,4,4,5,6,7,7,7,7,7,7,8,8,8,9,9,9,9,6,6,5,5,7,6,6,5,6,7,5,5,5,5,5,5,7,6,6,5,2,2,2,3,3,3,4,5,6,5,4,5,5,5,4,4,4,5,4,4,5,5,5,5,4,3,3,3,3,3,3,4,4,5,5,7,8,8,9,8,8,2,3,4,3,3,3,6,6,6,8,2,2,3,4,4,4,3,3,4,4,4,5,4,4,4,3,3,4,4,5,4,3,4,3,3,4,4,5,6,8,5,6,6,6,4,5,5,6,4,5,3,5,4,3,4,3,5,5,5,5,7,4,6,6,6,5,5,5,6,6,6,4,4,7,4,4,5,5,4,4,5,3,4,6,7,4,5,5,4,5,4,3,3,5,7,3,6,7,8,9,5,8,7,3,3,3,6,3,9,3,3,3|8,5,5,4,6,7,6,5,5,4,4,3,3,3,3,3,3,4,4,5,7,8,8,6,6,6,5,8,8,7,7,5,6,6,6,6,5,5,9,5,5,5,5,5,5,4,3,4,3,3,4,5,4,3,3,3,4,2,3,3,3,4,4,4,4,5,5,6,6,7,5,4,4,3,2,1,2,2,2,3,3,3,3,4,4,5,6,6,6,6,6,5,5,5,5,5,4,2,7,7,7,4,5,4,3,3,2,2,2,2,3,3,3,4,3,4,4,4,3,3,4,4,8,7,7,7,5,5,4,5,5,6,6,6,6,6,7,7,7,8,8,8,8,9,5,5,5,4,6,5,5,5,5,6,4,4,4,5,4,4,6,5,5,5,2,2,2,3,3,4,4,5,6,6,5,5,5,5,3,4,3,4,3,4,4,4,4,4,4,3,2,3,2,3,3,3,4,5,5,7,7,8,8,8,7,2,2,4,4,3,3,5,6,6,7,3,2,3,4,4,5,3,3,4,4,4,5,3,3,3,3,3,4,4,5,4,4,5,4,4,4,5,5,5,7,5,6,6,5,3,5,5,7,4,5,3,5,4,3,3,3,4,5,5,4,6,4,6,6,6,5,4,4,5,6,6,4,4,7,3,4,4,5,4,4,6,3,4,5,6,4,5,5,4,4,4,3,3,5,7,4,5,7,7,9,4,7,7,2,3,3,6,3,8,3,3,3|8,5,5,4,6,7,6,5,5,4,3,3,3,3,3,3,3,4,4,5,6,8,8,6,6,6,5,8,8,7,6,4,6,6,6,5,5,5,9,5,5,5,5,5,5,4,3,4,3,3,4,6,4,3,3,3,4,3,3,3,3,4,4,4,4,5,5,6,6,7,5,4,4,3,2,2,1,2,2,2,3,3,3,4,4,5,5,6,6,6,6,5,5,5,5,5,4,2,7,7,7,5,5,4,3,3,2,2,2,2,3,3,3,4,3,4,3,3,3,3,3,4,7,7,7,6,5,5,4,5,5,6,6,6,6,6,7,7,7,7,8,8,8,9,5,5,4,4,6,5,5,4,5,6,4,4,4,4,4,4,6,5,5,4,2,2,2,3,3,4,4,5,6,6,5,5,5,5,3,4,3,4,3,4,4,4,4,4,4,3,2,2,2,3,3,3,4,4,5,7,7,8,8,8,7,2,2,4,4,3,3,5,6,6,7,3,2,4,4,4,5,3,3,4,4,4,5,3,3,3,3,3,4,4,4,4,4,5,4,4,4,4,5,5,7,5,6,6,5,3,5,4,7,4,5,3,4,4,3,3,3,4,5,6,4,6,4,6,6,6,4,4,4,5,6,5,4,4,6,3,4,4,4,4,4,5,3,4,5,6,4,5,5,4,4,4,4,3,5,7,4,5,7,7,9,4,7,7,2,3,2,6,3,8,3,3,3|7,5,5,4,6,7,6,5,4,4,3,3,3,2,2,3,3,4,4,5,6,7,7,5,5,6,5,8,7,7,6,4,6,6,5,5,5,4,8,5,5,5,5,5,4,4,3,4,3,3,5,6,4,3,3,4,4,3,3,3,3,3,4,4,4,4,5,5,6,6,5,5,4,3,3,2,2,1,2,2,2,3,3,3,4,5,5,6,6,6,5,5,5,4,4,5,4,2,7,7,6,5,5,4,4,3,3,2,2,2,2,3,3,4,3,4,3,3,3,3,3,3,7,7,6,6,5,5,4,5,5,5,6,6,6,5,6,7,7,7,7,8,8,8,5,4,4,4,6,5,5,4,5,6,4,4,4,4,4,3,6,5,4,4,2,2,3,3,3,4,4,5,6,6,5,5,5,6,3,3,3,4,3,4,4,4,5,4,4,3,3,2,2,2,3,3,3,4,4,6,7,7,8,7,7,3,2,5,4,3,4,5,6,5,7,3,3,4,4,5,5,3,3,4,4,5,5,3,3,3,3,3,4,4,4,4,4,5,5,4,4,4,5,5,7,5,6,6,5,3,6,4,7,4,4,3,4,4,3,3,3,4,6,6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9,6,6,7,7,3,6,6,6,4,5,10,4,10,4,4,7,5,5,7,8,7,5,10,11,6,3,5,7,7,8,4,6,5,3,5,3,7,7,6,7,8,5,4,7,7,7,7,7,3,5,8,8,4,7,6,10,9,8,7,3,9,5,4,3,3,4,2,5,7,8,6,5,7,6,5,6,6|4,4,6,7,7,5,5,4,4,4,5,5,5,5,5,6,6,7,7,9,5,4,3,2,2,2,3,4,3,2,2,4,3,4,4,4,4,4,4,4,5,5,6,6,6,7,8,8,8,8,8,9,8,8,8,8,8,7,8,7,6,6,6,6,6,5,5,4,4,4,10,9,8,7,7,7,6,6,6,6,5,5,5,5,5,5,5,5,6,2,3,3,3,3,3,8,8,7,6,7,6,9,9,8,7,7,7,7,6,6,6,6,5,5,6,6,5,5,5,5,5,4,3,2,2,1,8,8,7,4,3,4,4,3,3,4,4,3,3,3,3,3,3,4,4,5,5,4,7,7,6,6,3,2,4,4,4,4,4,5,2,3,3,4,7,6,6,6,7,7,8,8,9,9,8,7,6,8,5,6,6,4,6,6,7,7,8,7,7,7,7,6,6,5,5,5,4,4,4,2,2,3,4,3,3,7,6,9,9,8,8,3,3,3,3,7,7,8,9,9,10,7,6,8,8,9,9,6,6,5,6,6,5,5,5,9,9,10,9,9,6,6,7,7,3,6,6,6,3,5,10,4,9,4,4,7,4,5,7,7,7,5,10,10,6,3,5,7,7,7,3,5,5,3,5,3,7,7,5,7,7,4,4,7,7,6,6,7,3,4,8,8,3,7,5,9,8,8,7,3,9,5,4,3,4,4,2,5,7,8,5,5,7,6,5,5,5|8,5,8,3,9,10,9,8,7,6,6,5,5,5,4,4,3,3,2,3,9,8,9,7,7,8,6,9,8,8,7,7,8,6,6,5,5,5,9,5,4,4,4,3,3,3,6,2,5,6,3,3,3,4,4,3,3,5,4,5,7,7,7,7,7,8,8,8,9,9,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,8,8,9,9,7,7,6,6,6,6,2,7,5,10,10,9,3,3,3,3,3,4,4,5,5,6,6,6,7,3,3,4,4,4,4,5,5,8,8,8,8,1,2,2,6,6,8,8,8,8,8,9,9,9,9,9,9,10,10,8,7,7,6,10,8,8,8,7,7,6,6,5,5,6,6,7,7,7,7,4,4,4,3,3,3,2,2,3,3,2,2,3,2,6,6,6,6,6,7,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,8,8,9,10,9,9,5,5,5,5,5,5,6,6,6,7,4,4,6,6,6,6,6,6,6,6,7,7,6,6,5,4,4,4,4,4,5,6,6,5,4,3,3,8,8,9,4,4,4,7,5,8,7,4,5,6,6,5,5,6,6,6,7,7,7,7,8,6,4,4,4,6,7,7,6,8,6,3,3,5,6,7,6,7,7,7,3,3,3,7,8,2,8,6,2,7,5,5,6,3,7,5,8,6,8,9,6,9,9,6,3,5,5,6,11,5,5,5|8,5,8,3,10,10,9,8,7,7,6,6,5,5,5,4,4,3,2,2,9,8,9,8,7,8,6,9,9,8,8,7,8,6,6,6,5,6,9,5,5,4,4,4,3,3,6,2,5,6,3,3,3,4,4,3,3,5,4,5,7,7,7,7,8,8,8,9,9,9,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,8,9,9,9,7,7,6,6,7,7,2,7,5,10,10,10,3,3,3,3,4,4,4,5,6,6,6,7,7,3,3,4,4,5,5,5,5,9,9,8,8,2,1,2,6,7,9,9,9,9,8,9,9,9,10,10,10,10,10,8,8,7,6,10,9,8,8,7,8,7,6,6,6,7,7,8,7,7,7,4,4,4,4,3,3,2,2,3,2,2,2,4,2,6,7,6,6,7,7,7,7,7,7,7,6,6,5,5,5,5,5,6,6,6,8,9,9,10,9,9,5,5,5,5,5,5,6,7,6,8,4,4,6,6,6,6,6,6,6,6,7,7,6,6,5,4,4,4,4,4,5,6,6,5,4,4,4,8,8,9,4,4,4,8,5,8,7,4,6,6,6,5,5,6,6,6,7,7,7,7,8,7,4,4,4,6,7,7,6,9,6,3,3,6,7,7,7,7,7,7,4,4,3,7,9,2,8,6,2,7,5,5,6,3,7,5,8,7,9,10,6,9,9,6,3,5,5,6,11,5,5,5|7,4,8,2,9,9,8,7,7,6,5,5,5,4,4,3,3,2,2,3,8,7,8,7,6,7,5,8,8,7,7,6,7,5,5,5,4,5,8,4,4,4,3,3,2,2,6,3,5,5,3,4,3,4,4,3,3,5,4,5,6,6,7,7,7,7,7,8,8,9,5,4,4,4,4,4,4,4,5,5,5,5,6,6,6,7,8,8,8,6,6,5,5,6,6,3,6,5,9,10,9,4,4,3,3,3,3,4,5,5,5,5,6,6,3,2,3,3,4,4,4,4,8,8,7,7,2,2,1,5,6,8,8,8,8,7,8,8,8,9,9,9,9,9,7,7,7,5,9,8,8,7,6,7,6,5,5,5,6,6,7,6,6,6,4,4,3,3,3,2,2,3,4,3,3,2,3,3,5,6,6,5,6,6,7,7,7,7,6,5,5,4,5,4,4,4,5,5,5,7,8,8,9,9,8,4,4,5,5,5,5,5,6,5,7,3,3,6,6,6,7,5,5,6,6,7,7,6,6,4,3,3,3,3,3,5,6,6,5,4,3,3,7,8,8,3,4,4,7,4,8,6,4,5,5,5,4,4,6,6,5,6,7,7,6,7,6,4,3,4,5,6,6,5,8,5,2,2,5,6,7,6,6,6,6,3,3,2,6,8,3,7,5,2,7,5,5,6,3,6,5,8,6,8,9,5,8,9,5,3,4,5,6,10,4,4,4|4,2,6,5,7,7,5,5,4,4,4,4,4,4,4,4,4,4,5,7,6,4,5,3,3,4,2,5,5,4,3,4,4,3,3,2,2,2,6,3,3,3,4,4,4,4,6,6,6,6,6,7,6,6,6,6,6,6,6,6,6,5,6,6,5,5,5,5,5,6,8,7,7,6,5,5,5,5,4,4,4,4,4,5,5,6,6,6,6,3,3,2,2,3,3,6,7,5,7,7,7,7,7,6,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,3,3,3,4,4,4,4,6,6,5,1,2,5,5,5,4,4,5,5,5,5,5,5,6,6,4,5,5,2,8,7,6,6,3,3,3,3,2,2,4,4,3,3,3,3,5,5,5,4,5,5,6,6,7,7,6,5,4,6,4,5,5,3,5,6,6,7,7,7,6,6,5,4,5,4,3,3,3,2,2,4,4,5,6,5,5,5,4,8,7,6,7,2,3,2,4,5,5,7,7,8,8,6,5,7,7,8,8,5,5,3,4,4,3,3,3,7,7,8,7,7,4,4,6,7,5,4,4,4,4,3,9,4,7,3,2,6,2,3,6,6,6,5,9,9,5,4,5,5,5,6,2,5,5,2,5,2,5,5,4,6,6,4,3,6,6,5,4,5,3,5,6,7,2,5,5,8,7,6,5,3,7,5,4,5,5,3,5,6,6,6,4,4,6,7,4,4,4|4,3,6,5,7,6,5,4,4,4,4,4,4,4,4,5,5,5,6,7,5,4,4,3,2,3,2,5,4,3,3,3,3,4,3,3,3,3,5,3,4,4,4,5,5,5,7,7,7,7,7,8,7,6,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,5,8,8,7,6,6,5,5,5,5,5,5,4,4,5,5,5,5,6,6,2,2,2,2,2,3,7,7,5,6,7,6,7,8,6,6,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,3,3,4,3,3,3,6,7,6,2,1,4,4,4,4,4,4,4,4,4,5,5,5,5,4,4,4,3,7,6,6,6,2,3,3,3,3,3,4,4,3,3,3,3,5,5,5,5,6,6,6,7,7,7,7,6,5,7,4,5,5,3,5,6,6,7,7,7,6,6,6,4,5,4,4,4,3,2,3,3,4,4,5,4,4,6,5,8,8,7,7,2,3,2,4,5,6,7,8,8,9,6,5,7,8,8,8,5,5,4,5,4,4,4,4,8,8,9,8,7,5,4,6,7,4,5,5,5,3,4,9,4,8,3,2,6,3,3,6,6,6,5,9,9,5,3,5,5,6,6,2,5,5,2,5,2,5,5,5,6,7,4,3,6,6,5,5,5,2,5,7,7,2,6,5,8,7,7,6,3,7,5,4,4,5,3,4,5,6,7,4,4,6,7,4,4,4|7,6,3,7,4,3,2,2,3,3,4,4,5,5,5,6,7,7,8,9,2,7,5,4,4,4,5,6,6,5,5,3,3,7,6,6,6,5,7,6,6,7,7,7,7,7,6,8,7,7,8,10,8,7,7,8,8,7,7,6,5,4,4,4,4,3,3,2,2,3,9,9,8,7,7,6,6,5,5,5,4,4,4,4,4,3,3,3,3,5,4,4,4,4,3,9,6,6,3,4,3,9,9,8,7,7,7,6,5,5,5,4,4,3,7,7,6,6,5,5,5,5,5,5,4,4,8,9,8,5,4,1,2,2,3,2,3,3,4,4,4,5,5,5,2,3,3,4,5,4,4,4,4,4,3,4,5,5,3,3,4,3,3,3,6,6,6,6,7,7,8,9,10,9,9,8,8,9,4,4,4,4,4,5,5,5,6,5,5,6,6,5,5,5,5,5,4,5,5,4,4,4,5,4,4,6,5,9,8,7,7,5,5,5,6,6,6,7,7,8,9,6,5,7,7,7,8,4,5,5,6,6,6,6,6,8,8,9,8,8,7,7,4,5,3,7,8,8,2,5,8,3,10,5,5,6,6,5,6,6,6,4,9,9,4,3,4,8,8,9,4,4,3,5,2,5,7,7,8,5,5,3,3,5,5,8,6,7,4,2,8,5,5,8,3,9,7,6,8,6,8,2,7,3,6,4,4,2,6,8,5,7,5,4,5,5,5|6,6,4,7,4,3,2,2,3,3,4,4,5,5,5,6,7,7,8,9,3,6,4,3,3,3,5,6,5,5,4,3,2,6,6,6,6,5,7,6,6,7,7,7,7,7,6,8,7,7,9,10,8,7,8,8,8,7,7,7,5,5,5,4,4,4,3,2,2,2,9,9,8,7,7,6,6,6,5,5,5,4,4,4,4,3,3,3,3,4,4,4,4,4,3,9,6,6,4,4,4,9,9,8,8,7,7,6,5,5,5,5,4,3,7,7,6,6,5,5,5,5,4,4,4,4,8,9,8,5,4,2,1,2,2,2,2,3,3,3,4,4,4,5,2,3,3,4,5,4,4,4,4,3,3,4,4,5,4,4,4,3,3,3,6,6,6,7,7,8,8,9,10,9,9,8,8,9,4,4,5,4,5,5,5,6,7,6,6,6,6,5,6,5,5,5,4,4,5,3,4,4,4,4,4,7,5,9,8,7,8,5,5,5,6,7,7,7,8,8,9,6,5,7,7,8,8,5,5,5,6,6,6,6,6,8,8,9,9,8,7,7,5,5,3,7,7,8,2,5,9,3,10,4,5,6,5,5,6,6,6,4,9,10,4,3,4,8,8,9,4,4,4,5,3,5,7,7,7,6,6,3,3,5,5,8,7,7,4,2,8,6,5,8,4,9,8,7,8,5,8,3,6,3,5,4,4,3,6,8,5,7,6,4,5,5,5|6,6,4,7,5,3,3,3,3,4,4,5,5,5,6,6,7,7,8,9,3,6,4,3,3,3,4,5,5,4,4,3,2,6,6,6,5,5,6,6,6,7,7,7,7,7,7,8,8,7,9,10,8,7,8,8,8,7,7,7,6,5,5,5,4,4,4,3,2,3,10,9,8,7,7,6,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,3,9,7,6,4,5,4,9,9,8,8,7,7,7,6,5,5,5,5,4,7,7,6,6,6,5,5,5,4,4,4,3,8,9,8,5,4,2,2,1,2,2,2,2,3,3,4,4,4,5,2,3,3,4,6,5,5,5,3,3,4,4,4,5,4,4,3,3,3,3,6,6,7,7,7,8,8,9,10,9,9,8,7,9,4,5,5,4,5,5,6,6,7,6,6,6,6,5,6,5,5,5,5,4,5,3,3,3,4,4,3,7,6,9,9,8,8,5,5,5,5,7,7,8,8,8,9,7,6,7,8,8,8,5,5,5,6,6,6,6,6,9,8,10,9,9,7,7,5,6,2,7,7,8,2,5,9,3,10,4,4,6,5,5,6,6,6,4,9,10,4,2,4,8,8,9,4,4,4,4,3,4,7,7,7,6,6,4,3,6,6,8,7,7,4,3,8,6,4,8,4,9,8,7,8,5,8,3,6,3,5,4,3,3,6,8,5,7,6,4,5,5,5|6,5,5,7,5,4,3,3,3,4,4,5,5,5,6,6,7,7,8,9,3,5,3,3,3,2,4,5,4,4,4,3,2,6,5,5,5,5,6,5,6,6,6,7,7,7,7,8,8,7,9,10,8,8,8,8,8,7,7,7,6,5,5,5,5,4,4,3,3,3,10,9,9,7,7,6,6,6,6,5,5,5,5,5,4,4,4,4,4,3,4,4,4,3,3,9,7,6,5,5,4,9,9,8,8,7,7,7,6,6,5,5,5,4,7,7,6,6,5,5,5,5,4,3,3,3,8,9,8,4,4,3,2,2,1,2,2,2,2,3,3,3,4,4,3,4,4,4,6,5,5,5,3,3,4,4,4,4,4,4,3,3,3,3,7,7,7,7,7,8,8,9,9,9,9,8,7,9,5,5,5,4,5,6,6,6,7,7,6,6,6,5,6,5,5,5,4,4,5,3,3,3,3,3,3,7,6,9,9,8,8,4,4,4,5,7,7,8,8,9,9,7,6,8,8,8,9,5,6,5,6,6,6,6,6,9,9,10,9,9,6,6,6,6,2,7,7,7,3,5,9,3,10,4,4,7,5,5,6,7,6,5,10,10,5,2,5,8,8,8,4,5,4,4,4,4,7,7,7,6,7,4,3,6,6,7,7,7,3,3,8,7,4,8,5,9,8,7,8,5,8,4,6,2,4,4,3,3,6,8,5,6,6,5,5,5,5|6,5,4,7,5,4,3,2,3,3,4,4,4,5,5,6,6,7,7,9,3,6,4,3,3,3,4,6,5,5,4,3,2,6,6,5,5,5,6,5,6,6,6,7,7,7,6,8,7,7,8,9,8,7,7,8,8,7,7,6,5,5,5,4,4,4,3,2,2,3,9,9,8,7,7,6,6,5,5,5,4,4,4,4,4,3,3,3,3,4,4,4,4,3,3,8,6,6,4,5,4,9,9,7,7,7,7,6,5,5,5,4,4,3,6,6,6,5,5,5,5,4,4,4,4,4,8,8,7,4,4,2,2,2,2,1,2,3,3,3,4,4,4,5,2,3,3,4,5,5,4,4,3,3,3,3,4,4,3,4,3,3,3,3,6,6,6,6,7,7,8,9,9,9,8,8,7,9,4,4,4,4,5,5,5,6,7,6,6,6,6,5,5,5,5,5,4,4,5,3,3,4,4,4,4,6,5,9,8,7,8,5,5,5,5,6,6,7,8,8,9,6,5,7,7,8,8,5,5,5,6,6,6,6,6,8,8,9,8,8,6,6,5,5,3,7,7,7,2,5,9,3,10,4,4,6,5,5,6,6,6,4,9,9,4,3,4,8,8,8,4,4,4,4,3,4,7,7,7,5,6,3,3,5,5,7,6,7,4,2,8,6,4,8,4,9,8,7,8,5,8,3,6,3,5,4,3,3,6,8,5,7,6,4,5,5,5|6,6,5,8,5,3,3,3,4,4,5,5,5,6,6,7,7,8,8,10,3,6,4,3,4,3,5,5,5,5,4,4,2,6,6,6,6,6,6,6,7,7,7,8,8,8,7,9,8,8,9,10,9,8,8,8,9,8,8,7,6,6,5,5,5,4,4,3,2,2,10,10,9,8,7,7,7,6,6,6,5,5,5,5,5,4,4,4,4,4,4,5,4,4,4,9,7,7,4,5,4,10,10,8,8,8,8,7,6,6,6,5,5,4,7,7,7,6,6,6,5,5,4,4,4,4,9,9,8,5,4,3,2,2,2,2,1,2,2,3,3,4,4,4,3,4,4,5,6,5,5,5,4,3,4,4,5,5,4,4,4,3,4,4,7,7,7,7,8,8,9,10,10,10,9,9,8,10,5,5,5,5,5,6,6,6,7,7,6,7,7,6,6,6,6,6,5,5,5,3,3,3,3,3,3,7,6,10,9,8,8,5,5,5,6,7,7,8,9,9,10,7,6,8,8,9,9,5,6,6,7,6,7,7,7,9,9,10,9,9,7,7,6,6,2,8,8,8,3,6,9,4,11,5,5,7,6,6,7,7,7,5,10,10,5,3,5,8,8,9,5,5,5,5,3,5,8,8,8,6,7,4,4,6,6,8,7,8,4,3,9,7,5,8,5,10,9,7,8,5,9,4,7,2,5,4,3,3,7,8,6,7,6,4,6,6,6|6,6,5,8,5,4,3,4,4,5,5,5,6,6,6,7,7,8,9,10,3,5,3,3,4,3,5,5,4,4,4,4,2,6,6,6,6,5,6,6,6,7,7,7,8,8,8,9,8,8,9,11,9,8,9,9,9,8,8,8,6,6,6,6,5,5,5,3,3,3,10,10,9,8,8,7,7,7,6,6,6,6,5,5,5,5,5,4,4,4,4,4,4,4,4,10,8,7,5,5,5,10,10,9,8,8,8,7,7,6,6,6,5,5,7,7,7,6,6,6,6,5,4,3,3,3,9,9,8,5,4,3,3,2,2,3,2,1,2,2,3,3,3,4,3,4,4,5,6,6,6,6,4,3,4,5,5,5,5,5,3,4,4,4,7,7,7,7,8,8,9,10,10,10,9,9,8,10,5,6,6,5,6,6,6,7,8,7,7,7,7,6,7,6,6,6,5,5,5,3,3,3,3,3,3,8,6,10,9,9,9,5,5,5,5,7,8,9,9,9,10,8,6,8,9,9,9,6,6,6,7,7,7,7,7,10,9,11,10,9,7,7,6,7,2,7,8,8,3,6,10,4,11,5,5,7,6,6,7,7,7,5,10,11,5,3,5,8,8,9,5,5,5,5,4,5,8,8,7,7,7,5,4,6,6,8,7,8,4,3,9,7,5,8,5,10,9,8,8,5,9,4,6,2,4,5,3,3,7,9,6,7,7,4,6,6,6|6,6,6,8,6,4,4,4,4,5,5,6,6,6,7,7,8,8,9,10,4,5,3,3,4,3,5,4,4,4,4,4,3,6,6,6,6,6,5,6,7,7,7,8,8,8,8,9,9,8,10,11,9,9,9,9,9,8,8,8,7,6,6,6,6,5,5,4,3,3,11,10,10,8,8,7,7,7,7,6,6,6,6,5,5,5,5,5,5,4,4,5,4,4,4,10,8,7,5,5,5,10,10,9,9,8,8,8,7,7,6,6,6,5,7,8,7,7,6,6,6,6,3,3,3,3,9,9,8,5,4,4,3,3,2,3,2,2,1,2,2,3,3,3,4,4,5,5,7,6,6,6,4,3,5,5,5,5,5,5,3,4,4,4,8,8,8,8,8,9,9,10,10,10,10,9,8,10,6,6,6,5,6,7,7,7,8,8,7,7,7,6,7,6,6,6,5,5,5,3,3,2,3,2,2,8,7,10,10,9,9,5,5,5,5,8,8,9,9,10,10,8,7,9,9,9,10,6,6,6,7,7,7,7,7,10,10,11,10,10,7,7,6,7,2,8,8,8,4,6,10,4,11,5,5,8,6,6,7,8,7,5,11,11,6,3,6,8,8,9,5,6,5,5,4,5,8,8,7,7,7,5,4,7,7,8,8,8,4,4,9,8,5,9,5,10,9,8,9,5,9,5,6,2,4,5,2,4,7,9,6,7,7,4,6,6,6|5,6,6,8,6,4,4,4,5,5,5,6,6,6,7,7,8,8,9,10,4,5,3,3,4,3,5,4,4,4,4,4,3,6,6,6,6,6,5,6,7,7,7,8,8,8,8,9,9,9,10,11,10,9,9,9,9,8,9,8,7,7,6,6,6,5,5,4,3,3,11,10,10,8,8,8,7,7,7,7,6,6,6,6,6,5,5,5,5,4,4,5,5,4,4,10,8,8,5,6,5,10,10,9,9,8,8,8,7,7,6,6,6,5,8,8,7,7,7,6,6,6,3,3,3,3,9,10,9,5,4,4,3,3,3,3,3,2,2,1,2,2,3,3,4,5,5,5,7,6,6,6,4,3,5,5,5,5,5,5,3,4,4,5,8,8,8,8,8,9,9,10,10,10,10,9,8,10,6,6,6,5,6,7,7,8,9,8,8,8,7,7,7,6,6,6,6,5,5,3,2,2,2,2,2,8,7,10,10,9,9,5,5,5,5,8,8,9,10,10,11,8,7,9,9,10,10,6,7,6,7,7,7,7,7,10,10,11,10,10,7,7,7,7,2,8,8,8,4,6,11,5,11,5,5,8,6,6,8,8,8,6,11,11,6,3,6,8,8,9,5,6,6,5,5,5,8,8,7,7,8,5,4,7,7,8,8,8,4,4,9,8,5,9,6,10,9,8,9,5,10,5,6,2,4,5,2,4,8,9,6,7,7,5,6,6,6|5,6,6,8,7,5,5,5,5,5,6,6,6,7,7,8,8,8,9,10,5,5,2,4,4,3,5,4,4,4,4,5,3,6,6,6,6,6,5,6,7,7,7,8,8,8,9,10,9,9,10,11,10,9,9,9,10,9,9,9,7,7,7,7,6,6,6,5,4,4,11,11,10,9,9,8,8,7,7,7,7,6,6,6,6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5,5,6,6,6,7,8,8,3,3,3,3,3,3,3,4,4,4,5,5,5,5,5,6,7,7,8,8,7,7,7,7,6,5,4,3,8,9,8,4,4,4,3,3,3,3,4,4,4,5,5,6,5,5,5,5,5,5,5,5,9,9,9,8,5,5,5,7,7,7,8,8,8,8,8,9,9,9,10,10,10,10,7,6,6,6,7,6,6,6,7,8,6,6,6,6,6,6,8,7,7,6,3,3,4,4,4,4,4,5,6,5,4,5,6,6,5,5,5,6,5,5,5,5,4,5,4,4,3,4,4,4,5,5,6,6,6,8,9,9,10,10,9,3,4,3,2,2,1,7,8,7,9,4,3,3,3,3,3,3,4,3,3,3,4,5,4,5,4,4,5,5,6,2,2,3,2,2,5,6,6,6,9,7,7,7,7,5,4,6,7,6,6,3,6,6,4,4,3,5,4,4,5,8,5,7,7,7,6,5,6,7,7,7,5,5,8,4,4,6,6,5,5,6,4,5,7,7,4,5,7,5,6,3,2,3,6,8,2,7,8,9,10,6,9,8,3,3,4,8,4,10,5,5,5|4,2,6,5,7,7,6,5,4,4,4,4,4,4,4,4,5,5,6,7,6,4,5,3,3,4,2,5,4,4,3,4,4,3,3,2,2,2,5,3,3,3,4,4,4,5,7,6,7,7,7,8,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,6,8,7,7,6,6,5,5,5,5,5,5,5,5,5,5,6,6,6,6,3,2,2,2,3,3,6,7,5,7,8,7,7,7,6,6,6,5,5,5,5,5,5,5,5,4,4,4,3,3,3,3,3,4,4,4,3,6,6,5,2,2,5,5,5,4,5,5,5,5,5,5,5,5,6,4,5,5,3,8,7,6,6,3,3,4,3,2,2,4,4,3,3,3,4,5,5,5,5,5,5,6,6,7,7,6,6,4,6,4,5,5,3,5,6,6,7,8,7,6,6,6,4,5,4,4,3,3,2,2,4,4,5,6,5,5,6,4,8,7,7,7,1,2,2,4,5,5,7,8,8,9,6,6,7,7,8,8,5,5,4,4,4,3,3,3,8,8,9,7,7,4,4,7,7,5,4,4,4,4,4,9,4,7,3,2,6,2,3,6,6,6,5,9,9,5,4,5,5,5,6,2,5,5,2,6,2,5,5,4,6,7,4,4,6,6,5,5,5,3,5,6,7,2,5,5,8,7,7,5,3,7,6,3,4,5,4,4,6,6,6,4,3,6,7,4,4,4|3,3,7,5,8,7,6,5,5,5,5,5,5,5,5,5,5,5,6,7,6,3,4,3,3,4,2,4,4,3,3,4,4,3,2,2,3,3,4,3,3,4,4,5,5,5,7,7,8,7,7,8,7,7,7,7,7,7,7,7,7,6,7,6,6,6,6,6,5,6,9,8,8,7,6,6,6,6,6,5,5,5,5,6,6,6,6,7,7,3,2,3,3,3,4,7,8,6,7,8,7,8,8,7,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,3,3,6,7,6,3,3,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,4,8,7,7,7,3,3,4,4,3,3,5,5,3,4,4,4,6,6,6,5,6,6,6,7,7,7,7,6,5,7,5,6,6,4,6,7,7,8,8,8,7,7,6,5,6,5,5,4,4,3,3,4,4,5,5,5,4,7,5,9,8,7,8,2,1,2,3,6,6,8,8,9,9,7,6,8,8,9,9,6,6,5,5,5,4,4,4,8,8,9,8,8,4,4,7,8,5,4,4,5,5,4,10,5,8,4,3,7,3,4,7,7,7,6,10,10,6,4,6,5,5,6,3,6,6,2,6,2,5,5,4,7,8,5,4,7,7,5,6,5,3,6,7,8,3,6,6,9,8,7,5,2,8,6,3,4,5,4,4,6,7,7,5,3,7,8,5,5,5|4,2,7,5,8,7,6,5,5,5,4,4,4,4,5,5,5,5,6,7,6,4,4,3,3,4,2,4,4,3,3,4,4,3,2,2,2,2,5,3,3,4,4,4,5,5,7,7,7,7,7,8,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,5,6,8,8,7,6,6,6,6,5,5,5,5,5,5,5,5,6,6,6,7,3,2,2,3,3,4,7,7,6,7,8,7,7,8,6,6,6,6,6,6,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,6,6,5,2,2,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,3,8,7,7,7,3,3,4,4,3,3,4,5,3,4,4,4,6,5,5,5,5,6,6,7,7,7,7,6,5,7,5,6,6,4,6,6,7,7,8,7,7,6,6,5,6,5,4,4,4,3,3,4,4,5,5,5,5,6,5,8,8,7,7,2,2,1,3,5,6,8,8,8,9,7,6,8,8,8,9,6,6,4,5,5,4,4,4,8,8,9,8,8,4,4,7,8,5,4,4,4,4,4,10,5,8,3,3,7,3,3,7,7,6,5,9,10,6,4,5,5,5,6,3,5,5,2,6,2,5,5,4,7,7,5,4,7,7,5,5,5,3,6,6,8,2,6,6,8,8,7,5,2,8,6,3,5,5,4,4,6,6,7,5,3,6,8,4,4,4|2,4,8,7,9,7,7,6,6,6,6,6,6,6,6,6,7,7,7,9,7,2,4,4,4,4,4,3,3,3,3,5,5,3,3,4,4,4,3,4,4,5,5,6,6,6,9,8,9,9,8,9,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,10,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,3,3,4,4,4,5,8,9,7,8,9,8,9,9,8,8,8,7,7,7,7,7,7,7,7,6,6,6,6,6,5,5,5,3,3,3,3,7,8,7,4,4,6,6,5,5,5,6,5,5,5,5,5,5,4,6,6,6,5,9,8,8,8,4,4,5,5,5,4,6,6,4,5,5,5,7,7,7,7,7,7,8,8,8,8,8,7,6,8,6,7,7,5,7,8,8,9,10,9,8,8,8,6,7,6,6,6,5,4,4,4,4,4,5,4,4,8,7,10,9,9,9,4,3,3,1,7,7,9,10,10,11,8,8,9,10,10,10,7,7,6,6,6,5,5,5,10,10,11,10,9,6,5,8,9,5,5,5,5,5,6,11,6,9,5,4,8,4,5,8,8,8,7,11,11,7,5,7,6,6,6,4,7,7,4,7,3,7,7,4,8,9,6,5,8,8,6,7,7,4,6,8,9,4,7,7,10,9,9,6,2,9,7,3,5,4,5,4,7,8,8,6,4,8,8,6,6,6|7,5,6,3,7,8,7,6,5,5,4,4,3,3,3,2,2,3,3,4,7,8,8,6,6,6,5,8,8,7,6,5,7,6,5,5,5,4,9,5,4,4,4,4,4,3,4,3,4,4,3,5,3,3,3,3,3,3,3,3,4,5,5,5,5,6,6,6,7,7,4,4,3,2,2,3,3,3,3,3,4,4,4,5,5,6,6,7,7,6,6,5,5,5,5,4,5,3,8,8,7,4,4,3,2,2,2,2,3,3,4,4,4,5,2,3,3,3,3,3,3,4,8,7,7,7,4,4,3,5,5,6,7,7,7,6,7,7,8,8,8,8,8,9,6,6,5,4,8,6,6,6,6,6,5,4,4,4,5,5,6,5,5,5,2,2,2,2,2,3,3,4,5,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,4,4,3,3,3,3,3,4,4,4,7,7,8,9,8,8,3,3,4,4,3,4,5,6,5,7,1,2,4,5,5,5,4,4,5,5,5,5,4,4,3,2,2,3,3,4,4,4,5,4,4,3,4,6,6,7,4,5,5,6,3,6,5,6,4,5,4,4,4,4,4,4,5,6,6,5,7,4,5,5,5,5,5,5,5,6,5,3,3,6,4,5,5,5,5,5,5,2,3,5,6,3,6,5,3,5,4,4,4,4,6,4,6,6,7,9,4,7,7,4,3,3,5,4,9,3,3,3|8,5,6,3,7,8,7,6,5,5,4,4,3,3,3,2,2,3,3,4,7,8,8,6,6,6,5,9,8,7,7,5,7,6,6,5,5,5,9,5,5,5,4,4,4,4,4,3,3,3,3,5,3,2,2,3,3,3,2,3,4,5,5,5,5,6,6,6,7,7,4,4,3,2,2,2,2,3,3,3,4,4,4,5,5,6,6,7,7,6,6,5,5,5,5,4,4,3,8,8,7,4,4,3,2,2,2,2,3,3,4,4,4,5,3,3,3,3,3,3,4,4,8,7,7,7,4,4,3,5,6,6,7,7,7,6,7,8,8,8,8,8,9,9,6,6,5,4,7,6,6,5,6,6,5,5,4,5,5,5,7,6,5,5,2,2,2,2,2,3,3,4,5,5,4,4,5,5,4,4,4,4,4,5,5,5,5,5,4,4,3,3,3,3,3,3,4,5,5,7,7,8,9,8,8,2,3,4,4,3,3,5,6,6,7,2,1,4,4,4,5,4,4,4,4,5,5,4,4,3,3,3,4,4,4,4,4,5,4,3,4,4,6,6,8,5,5,5,6,3,6,5,6,4,5,3,4,4,4,4,4,5,5,6,5,7,4,5,5,6,5,5,5,5,6,6,3,3,6,4,5,5,5,4,5,5,2,3,6,6,3,5,5,4,5,4,4,4,4,7,4,6,7,7,9,4,8,7,3,3,3,6,4,9,3,3,3|10,7,6,5,7,8,7,7,6,5,5,5,5,5,5,5,5,5,5,5,7,10,9,8,7,8,7,10,10,9,8,6,8,8,8,7,7,7,11,7,7,7,7,6,6,6,2,5,2,2,5,6,5,3,4,4,4,3,3,2,4,4,4,5,5,5,6,7,8,8,4,4,4,3,3,3,4,4,4,4,4,5,5,5,5,6,6,7,7,8,8,7,7,7,6,6,3,3,7,8,7,5,5,5,4,4,4,4,4,4,4,4,5,5,5,6,5,6,5,5,5,6,9,9,9,8,6,6,6,7,7,7,7,8,8,7,8,9,9,9,9,10,10,10,7,6,6,6,6,6,5,5,7,8,6,6,6,6,5,5,8,7,7,6,4,4,4,5,5,5,5,6,7,6,5,6,7,7,5,5,4,6,4,4,4,4,3,4,3,3,3,4,3,4,5,5,6,6,7,8,9,9,10,9,9,3,4,3,3,3,3,7,8,8,9,4,4,1,2,2,3,2,4,2,2,2,3,4,4,5,5,5,6,6,6,3,2,4,3,4,6,6,5,5,9,7,8,8,7,5,3,6,8,6,7,3,6,6,3,3,3,5,3,4,5,8,5,8,8,8,6,5,5,7,7,7,5,5,8,3,3,6,6,4,4,7,5,5,7,7,5,4,7,6,5,3,2,2,7,9,3,6,9,8,10,6,9,8,3,4,4,8,3,9,5,5,5|10,8,6,6,7,9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5,4,3,5,4,5,5,4,5,6,6,6,7,7,6,5,5,4,4,4,3,3,3,3,3,6,6,7,7,7,6,5,3,6,6,5,5,3,4,4,5,3,4,6,6,7,7,5,5,6,6,7,7,5,5,3,3,3,2,1,2,6,6,7,6,6,2,2,7,7,6,3,3,4,5,3,8,5,6,3,3,5,2,2,5,6,5,5,8,8,5,6,5,4,4,4,4,5,5,4,6,4,3,3,4,6,6,5,4,6,6,3,3,3,4,6,4,7,3,3,6,6,6,6,3,5,6,6,4,6,7,4,6,7,5,4,4,4,5,9,3,3,3|5,3,7,3,8,8,7,6,6,5,5,4,4,4,4,3,3,3,4,5,7,6,7,5,5,5,4,7,6,5,5,5,6,4,3,3,3,3,7,3,2,2,2,2,2,3,6,4,6,6,5,6,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,6,6,5,5,5,5,4,4,4,5,5,5,5,5,6,7,7,7,8,5,4,4,4,4,5,5,7,5,8,9,8,5,5,4,4,4,4,4,5,5,5,5,5,6,3,3,2,3,3,3,3,3,6,6,6,5,4,4,3,3,4,6,6,6,6,6,7,7,7,7,7,7,7,7,6,6,6,4,9,7,7,7,4,5,5,4,3,3,5,5,5,5,5,5,4,4,4,3,4,4,4,5,5,5,5,4,3,4,5,6,5,4,6,6,7,7,7,7,6,6,5,4,5,4,3,3,4,3,3,6,6,7,7,7,7,5,4,7,6,6,6,3,4,4,5,4,4,6,7,7,8,6,5,7,7,7,8,5,5,4,3,3,2,2,1,7,7,7,6,6,2,2,7,7,7,2,3,3,6,3,8,5,6,3,3,6,3,3,6,6,6,6,8,8,6,6,5,3,3,4,4,6,6,4,7,4,3,3,4,6,7,5,5,6,6,3,3,3,4,7,4,7,4,3,6,7,6,6,3,5,6,7,4,6,7,4,6,7,5,5,4,3,6,9,4,4,4|10,8,7,5,8,9,8,8,7,6,6,6,6,5,5,5,5,5,5,5,9,10,10,8,8,9,8,11,10,10,9,7,9,9,8,8,7,7,11,7,7,7,7,6,6,6,4,5,3,3,4,5,4,3,3,4,4,3,3,3,5,5,6,6,6,7,7,8,9,9,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,8,8,9,8,8,7,7,7,5,4,4,9,9,8,4,4,4,4,4,4,4,4,5,5,5,6,6,5,6,6,6,6,6,6,6,10,10,9,9,5,5,5,7,8,8,8,9,9,8,9,10,10,10,10,11,11,11,8,7,7,7,8,7,6,6,8,9,7,7,7,7,6,6,9,8,7,7,4,4,4,5,5,4,5,6,7,6,5,6,7,6,6,6,5,7,5,5,5,5,4,5,5,4,4,5,4,5,5,6,6,7,7,9,10,10,11,10,10,3,5,2,2,3,2,8,8,8,10,4,4,3,3,2,3,4,5,3,3,3,3,5,5,6,5,5,6,6,7,1,2,3,2,3,6,6,6,6,9,7,7,8,8,6,4,7,7,6,7,4,7,6,4,4,4,6,3,3,6,9,6,8,7,8,7,6,6,8,8,8,5,5,9,5,5,6,7,5,5,7,5,5,8,8,4,5,8,5,6,2,2,3,6,9,2,7,9,9,11,6,10,9,4,4,5,8,4,10,5,5,5|10,7,6,5,8,9,8,7,7,6,6,5,5,5,5,5,5,5,5,5,8,10,10,8,8,8,8,11,10,9,9,7,8,8,8,8,7,7,11,7,7,7,7,6,6,6,3,5,2,3,4,5,4,3,3,4,4,3,3,3,5,5,5,6,6,6,7,8,8,9,4,3,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,8,8,8,7,7,7,7,5,4,4,8,9,8,4,4,4,4,4,4,4,4,4,5,5,5,6,5,6,6,6,6,6,6,6,10,10,9,9,6,6,6,7,8,8,8,8,9,8,9,9,10,10,10,10,11,11,7,7,6,7,7,7,6,6,8,8,6,6,7,7,6,6,9,7,7,7,4,4,4,5,5,5,5,6,7,6,5,6,7,6,5,5,5,6,5,5,5,5,4,5,4,4,4,5,4,5,5,6,6,7,7,9,9,10,10,10,10,3,5,2,2,2,2,8,8,8,10,4,4,2,2,2,3,3,4,3,3,3,3,5,5,5,5,5,6,6,7,2,1,3,3,3,6,6,6,6,9,7,8,8,8,6,4,7,7,6,7,3,7,6,4,4,4,6,3,3,6,8,6,8,7,8,7,6,6,8,7,8,5,5,9,4,4,6,7,5,5,7,5,5,8,8,5,5,7,6,6,2,2,3,7,9,2,7,9,9,11,6,9,8,4,4,5,8,4,10,5,5,5|11,8,8,6,9,11,9,9,8,8,7,7,7,6,6,6,5,6,5,5,10,11,11,9,9,10,9,12,11,11,10,8,10,9,9,9,8,8,12,8,8,8,7,7,7,6,5,5,4,4,4,5,4,4,4,4,4,4,4,4,6,6,7,7,7,8,8,9,10,10,3,3,3,4,4,5,5,5,6,6,6,7,7,7,7,8,9,9,9,10,9,9,8,8,8,5,5,5,10,10,10,4,4,5,5,5,5,5,6,6,6,6,7,8,6,6,6,7,7,7,7,7,11,11,10,10,6,6,6,8,9,9,9,10,10,9,10,11,11,11,11,12,12,12,9,8,8,8,9,8,8,7,9,10,8,8,8,8,7,7,10,9,8,8,5,5,5,5,5,5,5,6,7,6,5,6,7,6,7,7,6,8,6,6,6,6,5,6,6,5,5,6,5,6,6,7,7,8,8,10,11,11,12,11,11,4,6,2,3,4,3,9,9,9,11,5,5,4,3,3,3,5,6,4,4,4,4,6,6,7,6,6,7,7,7,3,3,1,3,3,7,7,7,7,11,8,8,8,9,7,4,8,7,7,8,5,8,7,5,5,5,7,3,3,7,10,7,8,8,8,8,7,7,9,9,9,6,6,9,6,6,8,8,6,6,8,5,6,9,9,5,6,8,6,7,2,3,4,7,10,3,9,10,10,12,7,11,10,5,4,6,9,5,11,6,6,6|10,7,7,5,9,10,9,8,7,7,6,6,6,5,5,5,4,5,4,4,9,10,10,8,8,9,8,11,10,10,9,7,9,8,8,7,7,7,11,7,7,7,6,6,6,5,4,4,3,4,3,4,3,3,3,3,3,3,3,4,5,6,6,6,7,7,7,8,9,9,2,2,2,3,3,4,4,5,5,5,5,6,6,6,6,7,8,8,9,9,8,7,7,7,7,4,5,4,9,10,9,3,3,4,3,3,4,4,5,5,5,6,6,7,5,5,5,6,6,6,6,6,10,10,9,9,5,5,5,7,8,8,9,9,9,8,9,10,10,10,10,11,11,11,8,7,7,7,8,7,7,7,8,9,7,7,7,7,7,6,9,8,7,7,4,4,4,4,4,4,4,5,6,5,4,5,6,5,6,6,6,7,6,6,6,6,5,6,5,5,4,5,5,5,5,6,6,7,7,9,10,10,11,10,10,4,5,2,2,3,2,7,8,8,10,4,4,3,3,3,3,4,5,4,4,4,4,5,5,6,5,5,6,6,6,2,3,3,1,2,6,6,7,7,10,7,7,7,8,6,5,7,6,6,7,4,7,6,5,4,4,6,4,4,6,9,6,7,7,7,7,6,6,8,8,8,5,5,8,5,5,7,7,6,6,7,4,5,8,8,4,6,7,5,7,2,3,4,6,9,2,8,9,9,11,6,10,9,4,3,5,8,5,11,5,5,5|10,7,7,4,8,10,8,8,7,6,6,6,5,5,5,4,4,4,4,3,9,10,10,8,8,8,7,10,10,9,9,7,8,8,7,7,7,7,11,7,6,6,6,6,5,5,4,3,3,4,3,4,3,3,2,3,3,3,3,4,5,6,6,6,7,7,7,8,9,9,2,2,2,3,3,4,4,4,5,5,5,6,6,6,6,7,8,8,8,8,8,7,7,7,7,4,5,4,9,9,9,3,3,3,3,3,3,4,4,5,5,5,6,7,4,5,5,5,5,5,6,6,10,9,9,9,4,4,4,7,7,8,8,9,9,8,9,9,10,10,10,10,11,11,8,7,7,6,8,7,7,7,8,8,7,6,6,6,6,6,9,8,7,7,4,4,4,4,4,4,4,4,5,5,4,5,6,5,6,6,5,6,6,6,6,6,5,6,5,4,4,5,4,5,5,5,6,7,7,9,9,10,11,10,10,3,5,2,2,3,2,7,8,8,9,4,3,4,3,3,4,4,5,4,4,4,4,5,5,5,4,5,5,6,6,3,3,3,2,1,5,6,7,7,9,6,7,7,8,5,5,7,6,6,7,4,6,6,4,4,4,6,4,4,6,9,6,7,6,7,7,6,6,7,8,7,4,4,8,5,5,6,7,5,6,6,4,4,8,8,3,6,7,4,6,2,3,4,5,9,2,8,8,9,11,6,9,9,4,3,5,7,5,10,5,5,5|6,3,7,2,8,8,7,6,6,5,5,4,4,4,3,3,3,3,3,4,8,6,7,5,5,6,4,7,7,6,5,5,6,4,4,4,3,3,7,3,3,3,2,2,2,2,6,4,5,6,4,5,4,5,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,8,6,5,5,4,4,4,4,4,4,4,5,5,5,5,6,7,7,7,8,5,5,4,4,5,5,4,6,5,8,9,8,5,5,4,4,4,4,4,4,5,5,5,5,6,2,2,2,2,3,3,3,4,7,6,6,6,3,4,3,4,5,7,7,7,6,6,7,7,7,7,8,8,8,8,6,6,6,4,9,7,7,7,5,6,5,5,4,4,5,5,6,5,5,5,4,4,3,3,3,3,3,4,4,4,4,3,3,4,5,5,5,4,6,6,7,7,7,7,6,5,5,4,5,4,3,3,4,4,4,6,7,7,8,7,7,5,4,6,6,5,5,4,4,4,6,3,4,6,6,7,7,6,5,6,7,7,7,5,5,4,3,3,2,2,2,6,6,7,6,5,1,2,7,7,7,3,3,3,6,3,8,6,5,4,4,5,3,3,6,6,5,6,8,8,6,6,5,3,3,4,4,6,6,4,7,4,2,2,4,6,7,5,5,6,6,3,3,2,5,7,4,7,4,3,6,6,6,6,3,5,6,7,5,7,8,5,7,8,5,4,4,4,5,9,3,4,3|6,3,7,3,8,8,7,6,6,5,5,4,4,4,4,3,3,3,4,5,8,6,7,5,5,6,4,7,6,6,5,5,6,4,4,3,3,3,7,3,3,2,2,2,2,2,6,4,6,6,5,5,4,5,5,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,6,6,5,4,4,5,4,4,4,5,5,5,5,6,6,7,7,7,8,5,5,4,4,5,5,4,7,5,9,9,8,5,5,4,4,4,4,4,5,5,5,5,5,6,3,2,3,3,3,3,3,4,6,6,6,6,3,4,3,4,4,7,7,7,6,6,7,7,7,7,7,8,8,8,6,6,6,4,9,8,7,7,5,6,5,5,4,4,5,5,6,5,5,5,4,4,4,3,3,4,4,4,5,4,4,3,2,4,5,6,6,4,6,6,7,7,7,7,6,6,5,4,5,4,3,3,4,4,3,6,7,7,8,7,7,5,4,6,6,5,6,4,4,4,5,4,4,6,7,7,7,6,5,7,7,7,8,5,5,4,3,3,2,2,2,6,6,7,6,6,2,1,7,8,7,2,3,3,6,3,8,6,5,4,4,6,3,3,6,6,6,6,8,8,6,6,5,3,3,4,4,6,6,4,7,4,3,3,4,6,7,5,5,6,6,3,3,3,5,7,4,7,4,3,6,6,6,6,3,5,6,7,4,7,7,5,7,8,5,4,4,3,6,9,4,4,4|9,7,2,7,3,5,4,4,4,4,4,4,5,5,5,6,6,7,7,8,5,9,8,6,6,6,6,9,8,8,7,4,6,8,8,7,7,7,10,7,7,8,8,8,7,7,4,7,5,5,7,9,7,6,6,7,7,5,5,5,3,3,2,2,3,3,3,4,5,5,8,7,7,6,5,5,5,5,4,4,4,4,4,3,3,3,3,3,4,7,6,6,6,5,5,8,4,4,4,4,4,8,8,7,7,6,6,5,4,4,4,4,3,3,6,7,6,6,6,6,5,5,8,7,7,7,8,8,7,6,6,4,5,5,6,5,6,6,6,7,7,8,8,8,5,4,3,5,3,2,2,2,6,6,5,5,6,6,4,4,6,5,5,5,5,5,6,6,6,7,7,9,9,9,8,8,8,9,4,3,3,5,3,3,2,3,4,3,3,4,4,5,4,5,5,5,5,6,6,7,7,7,8,7,7,5,5,7,6,5,6,7,7,7,8,6,6,5,5,6,6,4,3,4,5,5,5,3,3,5,6,6,6,7,7,6,6,7,7,7,7,7,1,2,6,8,8,9,5,5,6,4,10,5,6,4,7,6,4,4,4,3,6,7,3,6,3,9,9,9,6,3,3,6,4,7,7,7,9,3,3,4,5,3,3,8,6,7,6,4,7,3,6,8,3,7,5,4,8,8,6,3,9,6,9,5,7,5,4,7,5,8,4,6,5,5,5|9,8,3,7,3,5,5,4,4,4,5,5,5,5,6,6,6,7,7,8,5,9,8,6,6,6,7,9,9,8,8,5,6,9,8,8,7,7,10,8,8,8,8,8,8,8,4,8,5,5,8,9,8,6,6,7,7,5,6,5,3,3,3,3,3,3,3,5,5,6,8,7,7,6,6,5,5,5,5,5,4,4,4,4,4,3,3,4,4,7,7,7,6,6,5,8,4,5,4,5,4,8,8,7,7,6,6,6,5,4,4,4,4,4,7,7,7,6,6,6,6,6,8,8,7,7,8,8,8,7,7,5,5,6,6,5,6,7,7,7,8,8,8,9,5,4,4,6,3,2,2,2,6,7,5,5,6,6,5,4,7,6,5,5,5,6,6,6,7,7,8,9,10,9,8,9,9,9,5,3,4,5,3,3,2,3,3,3,3,4,4,5,4,5,6,6,6,6,7,7,7,8,8,8,7,5,5,7,6,6,6,7,8,8,9,6,6,5,5,6,6,4,4,4,5,5,5,4,4,5,6,6,7,7,7,6,6,7,7,7,7,8,2,1,7,8,9,9,5,6,5,4,10,6,7,4,7,6,4,4,4,4,6,7,3,6,4,9,9,10,6,4,4,7,4,7,7,7,9,3,3,4,5,3,3,9,6,7,7,5,8,2,7,8,3,7,6,4,9,8,6,4,9,7,9,5,7,5,4,7,5,9,4,6,5,5,5|6,6,5,8,6,4,3,4,4,5,5,5,6,6,6,7,7,8,8,10,4,5,3,3,3,3,5,5,4,4,4,4,2,6,6,6,6,5,5,6,6,7,7,7,8,8,8,9,8,8,9,10,9,8,8,9,9,8,8,8,6,6,6,6,5,5,5,4,3,3,10,10,9,8,8,7,7,7,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,4,9,8,7,5,5,5,10,10,9,8,8,8,7,7,6,6,6,5,5,7,7,7,6,6,6,6,5,3,3,3,3,9,9,8,5,4,3,3,2,2,3,2,2,2,2,3,3,3,4,3,4,4,5,6,6,6,6,4,3,4,4,5,5,5,5,3,3,4,4,7,7,7,7,8,8,9,10,10,10,9,9,8,10,5,6,6,5,6,6,7,7,8,7,7,7,7,6,7,6,6,6,5,5,5,3,3,2,3,3,2,8,6,10,9,9,9,5,5,5,5,7,8,9,9,9,10,8,6,8,9,9,9,6,6,6,7,7,6,6,7,9,9,11,10,9,7,7,6,7,1,7,8,8,3,6,10,4,11,5,5,7,6,6,7,7,7,5,10,11,5,2,5,8,8,9,4,5,5,5,4,5,8,8,7,7,7,5,4,6,6,8,7,8,4,4,9,7,5,8,5,10,9,8,8,5,9,4,6,2,4,5,2,4,7,9,6,7,7,4,6,6,6|5,3,8,4,9,9,8,7,6,6,5,5,5,5,4,4,4,4,4,5,8,6,7,6,5,6,4,7,6,6,5,6,7,3,3,3,3,4,7,3,2,2,2,2,3,3,7,5,7,7,5,6,5,6,5,5,5,6,6,6,7,7,7,7,7,7,7,7,8,8,7,6,6,5,5,5,5,5,5,5,6,6,6,6,7,8,8,8,8,5,5,5,5,5,5,5,8,6,9,10,9,5,6,5,5,5,5,5,6,6,6,6,6,7,3,3,3,3,4,4,4,4,6,6,6,6,4,4,3,4,5,7,7,7,7,7,8,7,8,8,8,8,8,8,7,7,7,5,10,8,8,8,5,6,5,5,4,4,6,6,6,6,6,6,5,5,5,4,4,4,4,4,5,5,5,3,2,4,5,6,6,5,7,7,8,8,8,8,7,7,6,5,6,5,4,4,4,4,4,6,7,7,8,7,7,6,5,7,7,6,7,4,4,4,5,4,5,7,8,8,8,7,6,7,8,8,8,6,6,5,4,4,3,3,2,7,7,8,7,6,3,2,8,8,7,1,2,2,6,4,9,6,5,4,4,6,3,4,7,7,7,6,9,9,7,6,6,2,2,3,5,7,7,4,8,4,3,3,3,7,8,6,6,7,7,2,4,3,5,7,5,8,4,3,7,7,7,7,3,5,7,8,4,7,7,5,7,8,6,5,5,3,7,10,4,5,5|5,3,8,4,9,9,8,7,7,6,6,6,5,5,5,5,4,4,4,5,8,6,7,6,6,6,4,7,6,6,6,6,7,4,4,3,3,4,7,3,3,2,2,3,3,3,7,5,7,7,5,6,5,6,6,5,5,6,6,7,7,7,7,8,8,8,8,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,7,7,8,8,8,9,5,5,5,5,5,6,5,8,6,9,10,9,6,6,5,5,5,5,5,6,6,6,6,7,7,4,3,4,4,4,4,5,5,7,6,6,6,4,4,4,4,5,8,7,7,7,7,8,8,8,8,8,8,8,8,7,7,7,5,10,9,8,8,5,6,6,6,5,4,6,6,6,6,6,6,5,5,5,4,4,5,4,5,4,5,5,4,2,4,6,7,7,5,7,7,8,8,9,8,8,7,7,5,6,5,5,5,5,5,4,7,7,8,8,8,7,6,5,7,7,7,7,4,4,4,5,5,5,8,8,8,9,7,7,8,8,8,9,7,7,5,4,4,3,3,3,7,8,8,7,7,3,3,8,9,8,2,1,2,7,5,9,7,5,5,4,7,4,4,7,7,7,7,9,9,7,7,7,2,2,3,5,7,7,4,8,5,4,4,3,7,8,6,6,7,8,2,5,4,5,8,5,9,4,4,7,7,7,7,3,5,7,8,4,7,7,6,7,9,7,5,5,3,7,10,5,5,5|5,4,9,4,10,10,8,8,7,7,6,6,6,5,5,5,5,4,5,5,9,6,7,6,6,7,5,7,7,6,6,6,7,4,4,4,4,4,7,3,3,3,3,3,3,3,8,5,7,7,6,6,5,6,6,6,6,7,6,7,8,8,8,8,8,8,8,8,8,9,7,7,6,6,6,6,6,6,6,6,6,6,7,7,7,8,9,9,9,6,5,5,5,6,6,5,8,6,10,10,9,6,6,5,5,5,6,6,6,6,7,7,7,7,4,4,4,4,4,5,5,5,7,7,6,6,4,4,4,4,5,8,8,8,7,7,8,8,8,8,8,8,8,8,7,7,7,5,10,9,9,8,6,6,6,6,5,5,6,7,6,6,6,6,6,5,5,5,5,5,5,5,4,5,5,4,2,4,6,7,7,6,7,8,8,8,9,9,8,7,7,6,7,6,5,5,5,5,4,7,7,8,8,8,7,6,5,8,7,7,7,4,5,4,5,5,5,8,8,8,9,7,7,8,8,9,9,7,7,5,5,5,4,4,3,8,8,8,7,7,3,3,9,9,8,2,2,1,7,5,10,7,5,5,5,7,4,4,7,8,7,7,9,9,8,7,7,2,2,3,5,7,7,5,8,5,4,4,3,8,8,7,6,8,8,2,5,4,5,8,5,9,5,4,8,8,7,8,3,5,7,8,4,7,8,6,7,9,7,6,6,3,7,10,5,5,5|6,5,4,6,5,4,3,2,2,3,3,4,4,4,5,5,6,6,7,8,3,6,4,3,3,3,4,6,5,4,4,2,2,6,5,5,5,4,6,5,5,6,6,6,6,7,6,8,7,6,8,9,8,7,7,7,7,6,6,6,5,4,4,4,4,3,3,3,3,3,9,8,8,6,6,5,5,5,5,4,4,4,4,3,3,3,4,4,4,4,4,4,3,3,3,8,6,5,4,5,4,8,8,7,7,6,6,6,5,5,4,4,4,3,6,6,5,5,5,4,4,4,4,4,4,3,7,8,7,4,3,2,2,2,3,2,3,3,4,4,4,4,5,5,2,3,3,3,5,5,4,4,3,3,3,3,4,4,3,3,3,2,2,2,6,6,6,6,6,7,7,8,9,9,8,7,7,8,4,4,4,3,4,5,5,5,6,6,5,5,5,4,5,4,4,4,4,4,4,3,4,4,4,4,4,6,5,8,8,7,7,4,5,4,5,6,6,7,7,8,8,6,5,7,7,7,8,4,4,4,5,5,5,5,6,8,8,9,8,8,6,6,5,5,3,6,7,7,1,4,8,2,9,4,4,6,5,4,5,6,5,3,9,9,4,3,4,7,7,8,3,4,3,4,3,4,6,6,7,5,6,3,2,5,5,7,6,6,3,3,8,6,4,7,4,8,7,6,7,5,7,3,6,3,5,3,4,3,5,7,4,6,5,5,4,4,4|6,4,5,3,7,7,6,5,4,3,3,3,2,2,2,2,3,3,4,5,6,6,6,4,4,5,4,7,6,6,5,4,5,5,4,4,3,3,7,3,4,4,4,4,4,4,5,5,5,5,5,6,5,4,4,4,5,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,5,4,4,3,3,3,3,3,3,3,3,4,4,5,5,6,6,5,4,3,3,3,3,5,5,3,7,7,6,5,6,4,4,4,3,3,3,3,3,3,4,4,3,3,2,2,2,2,2,2,6,6,5,5,5,5,4,3,4,5,5,5,5,5,6,6,6,6,7,7,7,7,4,4,4,3,7,6,5,5,4,5,3,3,3,3,3,4,5,4,4,4,3,3,3,3,3,4,4,5,6,6,5,5,4,5,3,4,4,3,4,4,5,5,6,5,5,4,4,3,3,2,2,2,2,3,3,5,6,6,7,6,6,4,2,6,5,5,5,4,4,4,6,3,3,5,6,6,7,4,4,5,6,6,6,4,4,2,3,2,3,3,3,6,6,7,6,5,3,3,5,6,6,4,5,5,4,1,7,4,7,2,3,4,3,2,4,5,4,4,7,7,4,5,4,5,5,6,3,4,4,4,5,4,4,3,5,4,5,3,4,4,5,5,3,3,4,5,5,6,3,4,4,6,5,5,4,5,5,5,5,6,7,3,6,6,4,4,2,5,4,8,2,2,2|12,9,7,7,7,9,8,8,8,7,7,7,7,7,7,6,7,7,7,7,9,12,11,9,9,9,9,12,12,11,10,8,9,10,10,9,9,9,13,9,9,9,9,8,8,8,4,7,4,4,6,7,6,5,5,6,6,5,5,4,5,5,6,6,6,7,7,8,9,9,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,8,8,10,9,9,9,8,8,7,4,5,8,8,8,6,6,6,6,6,6,5,5,6,6,6,6,7,7,8,7,7,7,7,7,7,11,11,10,10,8,8,8,9,9,8,9,9,9,9,9,10,10,11,11,11,11,12,8,7,7,8,7,6,6,6,9,10,7,8,8,8,7,7,10,9,8,8,6,6,6,6,7,7,7,8,9,8,7,8,9,8,7,6,6,8,6,5,5,5,4,4,5,5,5,6,5,6,7,7,7,8,8,10,10,11,11,11,11,5,6,4,4,4,4,9,10,10,11,6,6,3,3,3,3,4,5,3,3,3,2,6,5,7,7,7,8,8,8,4,4,4,5,5,8,8,6,5,10,9,9,10,8,7,1,7,9,8,9,4,8,8,5,4,5,6,2,3,6,9,6,10,9,10,8,6,6,9,8,9,7,7,10,5,4,7,8,5,5,9,6,7,9,8,7,4,9,8,6,4,4,4,9,10,4,7,11,10,12,7,10,9,5,6,6,10,5,10,7,7,7|7,5,3,6,4,4,3,2,2,2,3,3,3,4,4,5,5,6,6,8,4,6,5,4,4,4,4,6,6,5,5,2,3,6,5,5,5,4,7,5,5,6,6,6,6,6,5,7,6,5,7,8,7,6,6,6,7,5,6,5,4,4,3,3,3,3,3,3,3,4,8,7,7,6,5,5,4,4,4,4,3,3,3,3,3,3,3,3,4,4,4,4,3,3,3,7,5,4,4,5,4,7,8,6,6,6,5,5,4,4,3,3,3,2,5,5,5,5,4,4,4,3,5,5,4,4,7,7,6,4,4,3,3,3,3,3,4,4,4,5,5,5,6,6,2,2,2,3,5,4,4,3,3,4,2,3,4,4,2,2,4,3,2,2,5,5,5,5,6,6,7,8,8,8,7,7,7,8,3,3,3,3,3,4,4,5,5,5,4,4,4,4,4,4,4,4,3,4,4,4,4,5,5,5,5,5,4,7,7,6,6,4,5,5,6,5,5,6,6,7,7,5,4,6,6,6,7,3,4,3,5,4,5,5,5,7,7,8,7,7,6,6,4,4,4,6,7,7,2,4,7,1,9,3,4,5,4,4,4,5,4,3,8,8,3,4,3,7,7,8,3,3,2,4,3,4,6,6,7,4,5,2,2,4,4,7,5,6,4,3,7,5,4,7,3,7,6,5,7,5,7,3,6,4,6,3,5,4,4,6,4,6,4,5,4,4,4|9,7,10,5,12,12,11,10,9,9,8,8,7,7,7,6,6,5,4,4,11,9,11,9,9,9,8,10,10,9,9,9,10,7,7,7,7,7,10,6,6,5,5,5,5,4,8,4,7,8,4,4,4,6,6,5,5,7,6,7,9,9,9,9,10,10,10,10,11,11,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9,10,10,11,11,9,8,8,8,8,8,4,9,7,12,12,12,4,5,5,5,6,6,6,7,8,8,8,8,9,5,5,6,6,6,7,7,7,10,10,10,9,4,4,4,7,8,10,10,10,10,10,11,11,11,11,11,11,11,11,10,10,9,8,12,11,10,10,9,9,8,8,7,7,9,9,9,9,9,9,6,6,6,6,5,5,4,3,2,3,4,4,4,3,8,9,8,8,9,9,9,9,9,9,9,8,8,7,7,7,7,7,7,7,7,10,10,11,11,11,11,7,7,7,7,7,7,7,8,8,9,6,6,8,8,8,8,8,8,8,8,9,9,8,8,7,6,6,6,6,6,7,7,7,6,6,5,5,10,10,11,5,5,5,9,7,9,9,1,7,7,8,7,7,8,8,8,9,9,8,9,10,9,5,4,4,8,9,9,8,10,8,5,5,6,9,9,9,9,9,9,4,6,5,8,10,4,10,8,4,9,7,7,8,4,8,7,10,7,10,11,8,10,11,8,5,7,6,8,13,7,7,7|6,3,5,4,6,6,5,4,4,3,3,3,3,3,3,3,4,4,5,6,5,5,5,4,3,4,3,6,5,5,4,3,4,4,4,3,3,3,6,3,4,4,4,4,4,4,5,6,6,5,6,7,6,5,5,5,5,5,5,5,5,4,5,5,4,4,5,5,5,5,7,6,6,5,4,4,4,4,3,3,3,3,3,4,4,5,5,5,6,4,3,3,3,3,3,6,6,4,6,7,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,3,3,3,2,2,2,5,5,4,4,5,6,5,3,3,5,4,4,4,4,5,5,5,5,6,6,6,6,4,4,4,2,7,6,5,5,3,4,3,2,2,2,3,3,4,3,3,3,4,4,4,4,4,5,5,6,7,6,6,5,5,6,3,4,4,2,4,5,5,5,6,6,5,5,4,3,4,3,3,2,2,2,2,4,5,5,6,6,5,5,3,7,6,5,6,3,4,3,5,4,4,6,6,7,7,5,4,6,6,7,7,4,4,2,3,3,3,3,3,6,6,7,6,6,4,4,5,6,5,4,5,5,4,2,8,3,7,1,2,5,3,2,5,5,5,4,8,8,4,4,4,5,5,6,2,4,4,3,5,3,4,4,5,5,5,3,3,5,5,5,4,4,3,5,5,6,3,5,4,7,6,5,5,4,6,5,5,5,6,2,5,5,4,5,3,4,5,7,3,3,3|5,3,6,5,7,6,5,5,4,4,3,3,3,3,4,4,4,5,5,7,6,5,5,3,3,3,2,5,5,4,3,3,4,3,3,3,3,2,6,3,3,4,4,4,4,5,6,6,6,6,6,7,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,8,7,7,5,5,5,5,4,4,4,4,4,4,4,4,5,5,6,6,3,3,2,2,2,3,6,6,5,7,7,6,7,7,6,5,5,5,5,5,4,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,6,6,5,2,2,5,5,4,4,4,5,5,5,5,5,5,5,6,4,4,4,2,7,6,6,6,3,3,3,3,2,2,4,4,3,3,3,3,5,5,4,4,5,5,6,6,7,7,6,5,5,6,4,5,5,3,5,5,6,6,7,6,6,5,5,4,5,4,3,3,3,2,2,4,4,5,6,5,5,5,4,7,7,6,6,2,3,3,4,5,5,7,7,7,8,6,5,7,7,7,8,5,5,3,4,4,3,3,3,7,7,8,7,7,4,4,6,7,5,4,4,5,4,3,9,4,7,2,1,6,2,3,6,6,5,4,8,9,5,4,4,5,5,6,2,4,4,2,5,2,5,5,4,6,6,4,3,6,6,5,4,5,2,5,6,7,2,5,5,7,7,6,5,3,7,5,4,4,6,3,4,6,5,6,4,4,5,7,3,4,3|9,6,5,5,6,7,6,5,5,4,4,4,4,4,4,4,4,5,5,6,6,9,8,6,6,7,6,9,9,8,7,5,6,7,7,6,6,6,10,6,6,6,6,6,6,5,2,5,3,2,5,6,5,3,4,4,4,3,3,2,3,3,3,4,4,4,5,6,6,7,5,5,4,3,3,3,3,3,3,3,3,3,4,4,4,5,5,6,6,7,6,6,6,5,5,6,3,2,6,7,6,5,5,4,4,4,3,3,3,3,3,3,3,4,5,5,5,5,4,4,4,4,8,8,7,7,6,6,5,6,6,6,6,6,7,6,7,7,8,8,8,8,9,9,6,5,5,5,6,5,4,4,6,7,5,5,5,5,4,4,7,6,5,5,3,3,4,4,4,5,5,6,7,6,5,6,6,6,4,3,3,5,3,3,3,3,3,3,3,2,2,3,2,3,4,4,4,5,6,7,8,8,9,8,8,2,3,4,4,3,3,6,7,7,8,4,3,3,3,4,4,2,2,3,3,3,4,3,3,4,4,4,5,5,6,4,3,5,4,4,5,6,4,4,7,6,7,7,6,4,4,5,8,5,6,1,5,5,2,2,2,4,4,5,4,7,4,7,7,8,5,4,4,6,5,6,5,5,8,2,3,4,5,3,3,7,4,5,6,6,5,4,6,5,4,4,3,2,6,7,3,5,8,7,9,4,8,6,2,4,3,7,2,8,4,4,4|5,2,6,4,7,7,6,5,5,4,4,4,3,3,3,4,4,4,5,6,6,5,6,4,4,4,3,6,5,5,4,4,5,3,3,2,2,2,6,2,2,3,3,3,3,4,6,5,6,6,6,7,5,5,5,5,5,5,5,6,6,5,6,6,6,6,6,6,6,6,7,7,6,5,5,5,4,4,4,4,4,4,4,5,5,6,6,6,7,4,3,3,3,3,4,5,6,5,7,8,7,6,6,5,5,5,5,5,4,4,5,5,5,5,3,3,3,3,3,3,3,3,5,5,5,4,5,5,4,2,3,6,5,5,5,5,6,6,6,6,6,6,6,6,5,5,5,3,8,7,6,6,3,4,4,3,2,2,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,5,5,4,5,4,5,5,3,5,6,6,6,7,7,6,5,5,4,5,4,3,3,3,2,2,5,5,6,6,6,6,5,4,7,7,6,6,2,3,3,4,4,4,6,7,7,8,6,5,7,7,7,8,5,5,3,3,3,2,2,3,7,7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4,4,3,3,2,5,5,3,3,4,5,3,2,5,4,4,3,4,5,5,5,6,6,7,8,8,8,7,7,7,8,3,2,2,4,2,2,3,3,4,3,3,3,3,4,3,3,4,4,4,5,5,6,6,6,7,6,6,4,4,6,6,5,5,5,6,6,7,5,5,5,5,6,6,4,3,5,5,5,5,2,3,4,5,5,5,5,6,6,6,7,6,6,6,6,3,3,5,7,7,8,4,4,6,3,9,4,5,4,5,5,3,4,3,2,6,7,1,5,2,8,8,8,4,2,2,5,3,5,6,6,8,3,3,3,3,3,3,7,5,6,5,4,7,4,5,7,2,6,5,4,7,7,6,3,7,5,8,3,6,4,4,6,4,7,3,6,4,4,4|5,5,5,7,6,4,4,3,3,4,4,5,5,5,5,6,6,7,8,9,4,5,3,2,3,2,4,4,4,4,3,3,2,5,5,5,5,4,5,5,5,6,6,6,7,7,7,8,8,7,8,10,8,7,8,8,8,7,7,7,6,6,5,5,5,5,4,3,3,3,9,9,8,7,7,6,6,6,6,5,5,5,5,5,5,5,4,4,5,3,3,3,3,3,3,9,7,6,5,6,5,9,9,8,7,7,7,7,6,6,5,5,5,4,6,6,6,5,5,5,5,4,3,3,3,3,8,8,7,4,3,3,3,2,2,3,3,3,3,3,3,3,4,4,3,4,4,4,6,6,5,5,3,2,4,4,4,4,4,4,2,3,3,3,6,6,6,6,7,7,8,9,9,9,8,8,7,9,5,5,5,4,5,6,6,7,7,7,6,6,6,5,6,5,5,5,4,4,4,2,2,3,4,3,3,7,6,9,9,8,8,4,4,4,5,7,7,8,8,9,9,7,6,8,8,8,9,5,5,5,6,6,6,6,6,9,8,10,9,9,6,6,6,6,2,6,7,7,3,5,9,4,10,4,4,7,5,5,6,7,6,5,10,10,5,1,5,7,7,8,4,5,4,4,4,4,7,7,6,6,7,4,3,6,6,7,6,7,3,3,8,7,4,7,5,9,8,7,7,4,8,4,5,2,4,4,3,4,6,8,5,6,6,5,5,5,5|7,5,3,5,4,5,4,3,3,2,2,3,3,3,4,4,5,5,6,7,4,7,6,4,4,5,5,7,7,6,5,3,4,6,6,5,5,5,8,5,6,6,6,6,6,6,4,6,5,4,6,8,6,5,5,6,6,4,5,4,3,2,3,2,2,3,3,4,4,5,7,6,6,5,4,4,4,3,3,3,2,2,2,2,2,3,3,4,4,5,5,4,4,4,3,7,4,3,5,5,4,7,7,6,5,5,5,4,3,3,2,2,2,2,5,5,5,4,4,4,4,3,6,6,5,5,6,7,6,5,5,4,4,4,5,4,5,5,6,6,6,6,7,7,3,3,2,4,5,4,3,3,4,5,3,3,4,4,2,2,5,4,3,3,4,4,4,5,5,6,6,7,8,7,7,7,6,7,2,2,2,3,2,3,3,4,4,4,3,3,3,3,3,3,4,4,3,4,4,5,6,6,7,6,6,4,3,6,6,5,5,5,6,5,7,4,4,5,5,6,6,4,3,5,5,5,6,2,2,3,4,4,5,5,5,6,6,7,6,6,5,5,3,4,5,6,7,7,4,4,6,3,9,4,4,4,5,4,3,4,3,2,6,7,2,5,1,7,7,8,4,2,2,5,3,5,5,5,7,3,4,2,3,3,3,7,5,5,4,4,6,4,4,6,2,6,5,4,7,6,5,3,7,5,7,3,6,4,3,6,3,6,3,6,3,3,3|6,4,9,4,10,10,9,8,7,7,6,6,6,5,5,5,5,4,4,5,9,6,8,6,6,7,5,7,7,6,6,7,7,4,4,4,4,4,7,4,3,3,3,3,3,3,8,5,7,7,5,6,5,6,6,5,5,6,6,7,8,8,8,8,8,8,8,8,8,9,7,6,6,6,6,6,6,6,6,6,6,6,7,7,7,8,9,9,9,6,6,5,5,6,6,5,8,6,10,10,10,5,6,5,5,5,5,6,6,6,7,7,7,7,4,4,4,4,4,5,5,5,7,7,7,7,4,4,4,5,5,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,5,10,9,9,8,6,7,6,6,5,5,7,7,6,6,6,6,6,5,5,5,5,5,4,4,4,4,5,3,2,4,6,7,7,6,7,8,8,8,9,9,8,7,7,6,6,6,5,5,5,5,5,7,7,8,9,8,8,6,5,7,7,7,7,5,5,5,6,5,5,8,8,8,9,7,7,8,8,9,9,7,7,5,4,5,4,4,3,8,8,8,7,7,3,3,9,9,8,2,2,2,7,5,10,7,5,5,5,7,4,4,7,8,7,7,9,9,8,7,7,1,2,2,5,7,7,5,8,5,4,4,3,8,8,7,6,8,8,2,5,4,6,8,5,9,5,4,8,7,7,7,3,5,7,8,4,8,8,6,7,9,7,5,6,3,7,10,5,5,5|6,4,9,4,10,10,9,8,7,7,6,6,6,5,5,5,4,4,4,5,9,6,8,7,6,7,5,7,7,7,6,7,7,4,4,4,4,4,7,4,3,3,3,3,3,3,7,4,7,7,5,5,5,6,6,5,5,6,6,7,7,8,8,8,8,8,8,8,8,9,7,6,6,6,6,6,6,6,6,6,6,6,7,7,7,8,9,9,9,6,6,5,6,6,6,4,8,6,10,10,10,5,5,5,5,5,5,6,6,6,6,7,7,7,4,3,4,4,4,5,5,5,7,7,7,7,4,4,3,5,6,8,8,8,8,8,8,8,8,8,8,9,9,9,7,8,7,5,10,9,9,8,6,7,6,6,5,5,7,7,7,7,6,7,5,5,5,4,4,4,4,4,4,4,4,3,2,4,6,7,7,6,7,8,8,8,9,8,8,7,7,6,6,6,5,5,5,5,5,7,8,8,9,8,8,6,5,7,7,7,7,5,5,5,6,5,5,8,8,8,8,7,7,8,8,8,9,7,7,5,4,5,4,4,3,7,7,8,7,6,3,3,9,9,8,2,2,2,7,5,9,7,4,5,5,7,4,4,7,7,7,7,9,9,8,7,7,2,1,2,5,7,7,5,8,5,4,4,3,7,8,7,6,8,8,2,5,4,6,8,4,9,5,3,8,7,7,7,2,6,7,8,5,8,8,6,8,9,7,5,6,3,7,11,5,5,5|6,5,9,4,11,11,9,9,8,7,7,7,6,6,6,5,5,4,5,5,10,7,8,7,7,8,6,8,8,7,7,7,8,5,5,5,5,5,8,4,4,4,3,3,3,4,8,5,7,8,5,5,5,6,6,6,5,7,7,7,8,8,8,9,9,9,9,9,9,10,7,6,6,6,6,6,6,6,6,7,7,7,7,8,8,9,9,10,10,7,6,6,6,7,7,4,9,7,11,11,10,5,6,5,5,5,6,6,7,7,7,7,8,8,4,4,5,5,5,5,6,6,8,8,8,7,4,4,4,6,6,9,9,9,8,8,9,9,9,9,9,9,9,9,8,8,8,6,11,10,9,9,7,7,7,7,6,6,7,8,7,7,7,7,6,6,5,5,5,5,4,4,4,4,5,3,3,4,7,8,8,6,8,8,9,9,9,9,8,8,7,6,7,6,6,6,6,6,5,8,8,9,9,9,9,7,6,8,7,7,7,6,6,6,6,5,6,8,8,8,9,8,8,8,9,9,9,8,8,6,5,5,4,4,4,8,8,8,7,7,4,4,9,10,9,3,3,3,8,6,10,8,4,6,6,8,5,5,8,8,8,8,9,9,8,8,8,2,2,1,6,8,8,6,9,6,4,4,4,8,9,7,7,8,8,3,5,4,7,9,5,9,6,4,8,8,8,8,3,6,7,9,5,9,9,7,8,10,7,6,6,4,8,11,6,6,6|5,3,5,5,6,6,5,4,4,3,3,3,3,3,3,4,4,5,6,7,5,5,5,3,3,3,2,5,5,4,3,3,4,4,4,3,3,3,6,3,4,4,4,4,5,5,6,6,6,6,6,8,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,4,4,5,8,7,6,5,5,5,4,4,4,4,4,4,4,4,4,5,5,5,5,3,3,2,2,2,2,6,6,5,6,7,6,7,7,6,5,5,5,5,4,4,4,4,4,4,4,4,4,3,3,3,3,2,4,4,4,3,6,6,5,2,2,4,4,4,4,4,5,5,5,5,5,5,5,6,3,4,4,2,7,6,5,5,2,3,3,2,2,2,3,3,3,3,3,3,5,5,4,4,5,5,6,7,7,7,6,6,5,7,3,4,4,2,4,5,5,6,7,6,5,5,5,4,5,3,3,3,2,2,2,4,4,5,5,5,5,5,4,7,7,6,6,2,3,3,4,5,5,6,7,7,8,6,5,6,7,7,8,4,4,3,4,4,3,4,4,7,7,8,7,7,4,4,6,6,4,5,5,5,3,3,8,3,8,2,2,5,3,3,5,6,5,4,8,9,4,4,4,5,5,6,1,4,4,2,5,3,5,5,5,5,6,3,3,5,5,5,4,5,2,4,6,6,2,5,4,7,7,6,5,4,7,5,4,4,6,3,4,5,5,6,3,4,5,7,3,3,3|7,6,3,6,4,5,4,3,3,2,3,3,3,3,4,4,5,5,6,7,4,7,6,5,5,5,5,7,7,6,6,3,4,6,6,6,5,5,8,6,6,6,6,6,6,6,4,6,5,4,7,8,6,5,5,6,6,5,5,4,3,2,2,2,2,2,3,4,4,5,7,7,6,5,5,4,4,4,3,3,3,2,2,2,2,3,3,3,4,5,5,5,4,4,3,7,4,4,5,5,4,7,7,6,6,5,5,4,3,3,3,2,2,2,5,5,5,5,4,4,4,4,6,6,6,5,7,7,6,5,5,4,4,4,5,4,5,5,6,6,6,6,7,7,3,3,2,4,4,3,3,3,4,5,3,3,4,4,2,2,5,4,4,3,4,4,5,5,5,6,6,7,8,8,7,7,7,8,3,2,2,3,2,3,3,3,4,4,3,3,3,3,3,3,4,4,4,4,5,5,6,6,7,6,6,4,4,6,6,5,5,5,6,5,7,5,5,5,5,6,6,4,3,5,5,5,6,2,3,3,5,4,5,5,6,6,6,7,6,6,6,6,3,4,5,7,7,7,4,4,6,3,9,4,4,4,5,4,3,4,3,2,6,7,2,5,2,7,7,8,4,1,2,5,3,5,6,6,7,3,4,2,3,3,3,7,5,6,5,4,6,4,5,6,2,6,5,4,7,6,6,3,7,5,7,3,6,4,3,6,3,7,3,6,4,3,4|7,6,3,6,4,5,4,3,3,2,3,3,3,4,4,4,5,6,6,7,4,7,6,4,4,5,5,7,7,6,5,3,4,6,6,6,5,5,8,6,6,6,6,6,6,6,4,7,5,5,7,8,7,5,6,6,6,5,5,4,3,3,2,2,2,2,3,3,4,4,7,7,6,5,5,4,4,4,3,3,3,2,2,2,2,3,3,3,4,5,5,4,4,4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3,6,8,6,5,5,6,6,4,4,3,2,3,3,3,3,4,4,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,7,7,6,6,6,5,7,2,4,5,6,5,7,7,6,6,5,5,4,4,3,3,3,4,4,6,6,6,6,5,5,5,5,8,8,8,7,7,7,7,6,7,5,6,6,7,6,7,7,7,8,8,8,9,9,5,5,4,6,4,4,3,3,6,7,5,5,6,6,4,4,7,6,6,5,4,5,5,5,6,6,7,8,9,8,7,7,8,8,4,3,3,5,3,2,2,2,2,2,2,3,3,4,3,4,5,5,5,6,6,7,8,8,9,8,8,4,4,5,5,4,4,7,8,7,9,5,5,3,4,4,5,3,3,3,3,4,4,3,3,5,5,5,6,6,7,5,4,6,5,5,7,7,3,3,7,8,8,8,6,5,4,5,9,5,6,3,6,6,3,2,3,4,5,5,3,7,4,8,8,9,6,4,4,7,5,7,6,6,9,2,1,4,5,2,2,8,5,6,6,5,6,2,7,7,4,5,4,3,8,8,5,5,9,7,9,5,8,6,3,6,4,8,3,7,5,5,5|7,5,4,5,5,5,4,3,2,2,2,2,3,3,4,4,5,5,6,7,4,6,6,4,4,4,4,6,6,5,5,2,4,6,5,5,5,4,7,5,5,5,5,6,6,6,5,6,5,5,7,8,6,5,6,6,6,5,5,5,4,3,3,3,3,3,3,3,4,4,7,7,6,5,5,4,4,4,3,3,3,2,2,2,2,3,3,4,4,4,4,4,3,3,2,7,5,4,5,5,4,7,7,6,6,5,5,4,4,3,3,3,2,2,5,5,4,4,4,4,3,3,5,5,5,4,6,7,6,4,4,3,3,4,4,3,4,5,5,5,5,6,6,6,3,2,2,3,5,4,4,4,4,4,2,2,3,4,2,2,4,3,3,2,4,4,4,5,5,6,6,7,8,8,7,7,6,7,2,3,3,3,3,4,4,4,5,5,4,4,4,3,4,3,3,3,3,3,4,4,5,5,6,5,5,5,4,7,6,6,6,4,5,5,6,5,5,6,6,6,7,5,4,5,6,6,6,3,3,3,4,4,4,5,5,6,6,8,7,6,5,5,4,4,5,6,6,7,3,3,7,2,9,3,4,4,4,4,4,4,4,2,7,8,3,4,2,7,7,7,3,2,2,4,3,4,5,5,6,4,4,1,2,4,4,6,5,5,4,3,6,5,4,6,3,7,6,5,6,5,6,3,6,4,6,2,5,4,4,6,3,6,4,6,3,3,3|6,4,4,5,5,5,4,3,2,2,3,3,3,3,4,4,5,5,6,7,4,6,5,3,3,3,3,6,5,5,4,2,3,5,5,4,4,4,7,4,5,5,5,5,6,6,5,7,6,6,7,8,7,6,6,6,6,6,6,5,4,4,4,4,4,3,3,3,4,4,8,7,7,6,5,5,4,4,4,4,3,3,3,3,3,4,4,4,4,4,3,3,3,2,2,7,5,5,5,6,5,7,7,6,6,6,5,5,4,4,4,3,3,3,5,5,4,4,4,4,3,3,5,4,4,4,7,7,6,3,3,3,3,3,3,3,4,4,4,4,5,5,5,6,2,3,3,3,6,5,4,4,3,3,2,2,3,3,2,3,3,2,2,2,5,5,5,5,5,6,6,7,8,8,7,7,6,7,3,3,4,2,4,4,5,5,6,5,5,5,5,4,4,3,4,3,3,3,3,4,4,5,5,5,4,5,4,7,7,6,6,4,4,4,5,5,5,6,7,7,8,5,4,6,6,7,7,4,4,3,5,4,4,4,5,7,7,8,7,7,5,5,5,5,4,6,6,6,2,4,8,2,9,3,3,5,4,4,5,5,5,3,8,8,3,3,3,6,6,7,3,3,3,3,3,4,6,6,6,5,5,2,1,4,4,6,5,6,3,3,7,5,3,6,3,7,6,6,6,5,7,3,5,4,6,2,4,4,5,6,4,6,5,6,4,4,4|9,6,3,6,4,6,5,4,4,4,4,4,4,4,4,4,5,6,6,7,5,8,8,6,6,6,6,9,8,7,7,4,6,7,7,7,6,6,9,6,7,7,7,7,6,6,3,6,4,3,6,7,6,5,5,5,6,4,4,3,2,2,2,2,3,3,4,5,5,6,6,6,5,4,4,4,4,3,3,3,3,3,3,3,3,3,4,4,5,6,6,6,5,5,5,7,3,3,5,6,5,6,7,6,5,5,4,4,3,3,3,3,3,3,5,6,5,5,5,5,5,5,8,7,7,7,7,7,6,6,6,5,5,6,6,5,6,6,7,7,7,8,8,8,5,4,4,5,4,3,3,3,6,6,4,4,5,5,4,3,6,5,5,4,4,4,5,5,5,6,6,7,8,8,7,7,7,8,3,3,2,4,2,2,2,2,3,2,2,3,3,4,3,4,4,4,4,5,6,7,7,7,8,7,7,4,4,6,5,4,5,6,7,7,8,5,4,4,4,5,5,3,2,3,4,4,4,2,2,4,5,5,5,6,6,5,5,6,6,5,6,6,3,3,6,7,7,8,5,4,5,4,9,5,6,3,6,5,2,3,3,3,5,6,3,6,3,8,8,8,5,3,3,6,4,6,6,6,8,2,2,4,4,1,2,7,5,6,6,5,6,3,6,6,3,6,4,3,7,7,5,4,8,6,9,4,7,5,3,5,4,8,2,7,4,4,4|9,6,3,6,4,6,5,4,4,4,4,4,4,4,4,5,5,6,6,7,5,9,8,6,6,6,6,9,8,8,7,4,6,8,7,7,6,6,9,6,7,7,7,7,7,6,3,6,4,3,6,8,6,5,5,5,6,4,4,3,2,2,2,2,3,3,4,5,5,6,6,6,5,5,4,4,4,4,3,3,3,3,3,3,3,3,4,4,5,7,6,6,5,5,5,7,3,3,5,5,5,7,7,6,5,5,5,4,3,3,3,3,3,3,5,6,5,5,5,5,5,5,8,7,7,7,7,7,6,6,6,5,5,6,6,5,6,6,7,7,8,8,8,8,5,4,4,5,4,3,3,3,6,6,4,4,5,5,4,3,6,5,5,4,4,4,5,5,5,6,6,7,8,8,7,7,7,8,3,3,2,5,2,2,2,2,3,2,2,3,3,4,3,4,4,5,5,5,6,7,7,7,8,8,7,4,4,6,5,4,5,6,7,7,8,5,5,4,4,5,5,3,2,3,4,4,4,3,2,4,5,5,6,6,6,5,5,6,6,6,6,6,3,3,6,7,8,8,5,5,5,4,9,5,6,3,6,5,3,3,3,3,5,6,3,6,3,8,8,8,5,3,3,6,4,6,6,6,8,2,2,4,4,2,1,7,5,6,6,5,6,3,6,7,3,6,4,3,7,7,5,4,8,6,9,4,7,5,3,5,4,8,2,7,4,4,4|6,4,8,3,10,9,8,8,7,6,6,6,5,5,5,4,4,4,4,5,9,6,8,6,6,7,5,7,7,6,6,6,7,4,4,4,4,4,7,4,3,3,2,2,3,3,7,4,7,7,5,5,5,6,5,5,5,6,6,7,7,7,7,8,8,8,8,8,8,9,6,6,6,5,5,6,5,5,6,6,6,6,6,7,7,8,8,9,9,6,5,5,5,6,6,4,8,6,10,10,9,5,5,4,5,5,5,5,6,6,6,6,7,7,4,3,4,4,4,4,5,5,7,7,7,6,3,4,3,5,5,8,8,8,7,7,8,8,8,8,8,8,8,8,7,7,7,5,10,9,8,8,6,6,6,6,5,5,6,7,6,6,6,6,5,5,5,4,4,4,4,4,4,4,4,3,2,4,6,7,7,5,7,7,8,8,8,8,8,7,6,5,6,5,5,5,5,5,4,7,7,8,9,8,8,6,5,7,7,6,6,5,5,5,6,5,5,7,8,8,8,7,7,8,8,8,8,7,7,5,4,4,3,3,3,7,7,8,7,6,3,3,8,9,8,2,2,2,7,5,9,7,4,5,5,7,4,4,7,7,7,7,9,9,7,7,7,2,2,3,5,7,7,5,8,5,3,3,3,7,8,6,6,7,7,1,4,3,6,8,4,9,5,3,7,7,7,7,2,5,7,8,4,8,8,6,7,9,6,5,5,3,7,10,5,5,5|7,4,6,2,8,8,7,6,5,5,4,4,3,3,3,2,2,2,3,4,7,7,8,6,6,6,5,8,8,7,6,5,6,5,5,5,4,4,8,4,4,4,4,3,3,3,4,3,4,4,3,5,3,3,3,3,3,3,3,4,5,5,5,5,5,6,6,6,7,7,5,4,4,3,3,3,3,3,3,3,4,4,4,5,5,6,6,7,7,6,5,5,5,5,5,4,5,3,8,8,8,4,4,3,2,2,2,2,3,4,4,4,4,5,2,3,3,3,3,3,3,4,7,7,7,6,3,4,3,4,5,6,7,7,7,6,7,7,8,8,8,8,8,9,6,6,5,4,8,7,6,6,5,6,5,4,4,4,5,5,6,5,5,5,2,2,2,2,2,2,3,4,5,4,4,4,4,4,4,5,4,4,5,5,5,5,6,6,5,4,4,3,3,3,3,3,4,4,4,7,7,8,8,8,8,3,3,5,4,4,4,5,6,5,7,2,2,5,5,5,6,4,4,5,5,5,6,4,4,3,2,2,3,3,3,5,5,5,4,4,3,3,6,6,7,4,5,5,6,3,6,5,6,4,4,4,4,3,4,4,4,5,6,6,5,6,5,5,5,5,4,5,5,5,6,5,3,2,6,5,5,5,5,5,5,4,1,3,5,6,3,6,5,3,5,5,4,4,4,6,4,6,6,7,8,4,7,7,4,3,3,5,4,9,3,3,3|7,4,7,2,8,9,8,7,6,5,5,4,4,4,3,3,2,2,2,4,8,7,8,6,6,7,5,8,8,7,6,6,7,5,5,4,4,4,8,4,4,3,3,3,2,2,5,3,5,5,3,4,3,4,4,3,3,4,4,5,6,6,6,6,6,7,7,7,8,8,5,4,4,4,4,4,4,4,4,4,5,5,5,6,6,7,7,8,8,6,6,5,5,5,5,3,6,4,9,9,8,4,4,3,3,3,3,3,4,5,5,5,5,6,2,2,3,3,3,3,4,4,7,7,7,7,3,3,2,5,5,7,7,7,7,7,8,8,8,8,8,8,9,9,6,6,6,5,9,8,7,7,6,6,5,5,4,4,5,5,6,6,6,6,3,3,3,2,2,2,3,3,4,4,3,3,3,3,5,6,5,5,6,6,6,6,7,7,6,5,5,4,4,4,3,4,4,4,4,7,7,8,9,8,8,4,4,5,5,4,5,5,5,5,7,3,3,5,6,6,6,5,5,6,6,6,7,5,5,4,3,3,3,3,3,5,5,6,5,4,2,3,7,7,8,3,4,4,6,3,7,6,5,4,5,5,4,4,5,5,5,6,7,7,6,7,5,4,4,4,5,6,6,5,7,5,2,2,5,6,6,5,6,6,6,3,3,1,5,7,3,7,5,2,6,5,5,5,3,6,5,7,6,7,8,5,7,8,5,3,4,5,5,10,4,4,4|4,3,6,5,6,6,5,4,4,4,4,4,4,4,4,5,5,5,6,8,5,4,4,2,2,3,2,5,4,3,3,3,3,4,3,3,3,3,5,4,4,4,5,5,5,6,7,7,7,7,7,8,7,6,7,7,7,6,6,6,6,5,5,5,5,5,5,4,4,5,8,8,7,6,6,5,5,5,5,5,4,4,4,4,4,5,5,5,5,2,2,2,2,2,3,7,7,5,6,7,6,8,8,6,6,6,6,6,5,5,5,5,4,4,5,5,4,4,4,4,3,3,4,3,3,3,7,7,6,3,2,4,4,4,3,4,4,4,4,4,4,4,5,5,3,4,4,3,7,6,6,6,2,2,3,3,3,3,4,4,2,2,3,3,5,5,5,5,6,6,6,7,8,8,7,6,5,7,4,5,5,3,5,6,6,6,7,7,6,6,6,4,5,4,4,4,3,3,3,3,3,4,5,4,4,6,5,8,8,7,7,3,3,3,4,5,6,7,8,8,9,6,5,7,7,8,8,5,5,4,5,5,4,4,4,8,8,9,8,8,5,5,6,7,4,5,5,5,3,4,9,4,8,3,2,6,3,3,6,6,6,4,9,9,5,3,4,6,6,7,2,5,4,2,5,2,6,6,5,6,6,4,3,6,6,6,5,5,1,4,7,7,2,6,5,8,7,7,6,3,7,5,4,4,5,3,4,5,6,7,4,4,6,6,4,4,4|7,6,3,7,4,3,2,2,3,3,4,4,5,5,5,6,7,7,8,9,2,7,5,4,4,4,5,6,6,5,5,3,3,7,6,6,6,5,7,6,7,7,7,7,7,7,6,8,7,6,8,10,8,7,7,8,8,7,7,6,5,4,4,4,3,3,3,2,2,3,9,9,8,7,7,6,6,5,5,5,4,4,4,4,3,3,3,3,3,5,5,5,4,4,4,9,6,6,3,4,3,9,9,8,7,7,7,6,5,5,4,4,4,3,7,7,6,6,6,5,5,5,5,5,5,4,8,9,8,5,5,2,2,3,3,2,3,3,4,4,5,5,5,6,2,2,3,4,4,4,4,4,4,4,4,4,5,5,3,3,4,3,3,3,6,6,6,6,7,7,8,9,10,9,9,8,8,9,4,4,4,4,4,4,5,5,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,5,5,5,4,6,5,8,8,7,7,5,6,6,6,6,6,7,7,8,8,6,5,7,7,7,8,4,5,5,6,6,6,6,7,8,8,9,8,8,7,7,4,5,4,7,8,8,3,5,8,3,10,5,5,6,6,5,5,6,5,3,8,9,4,3,4,8,8,9,4,4,3,5,2,5,7,7,8,5,5,3,3,5,5,8,6,7,4,1,8,5,5,8,3,8,7,6,8,6,8,2,7,4,6,4,4,2,5,8,5,7,5,4,5,5,5|8,6,8,3,9,10,9,8,7,6,6,5,5,5,4,4,3,3,2,2,9,9,9,7,7,8,6,9,9,8,8,7,8,6,6,6,6,6,10,5,5,5,4,4,4,3,5,2,4,5,2,3,2,3,3,2,2,4,4,5,6,6,7,7,7,7,8,8,9,9,4,3,3,3,4,4,4,4,5,5,5,6,6,6,7,8,8,8,9,7,7,6,6,7,7,2,6,4,9,10,9,2,3,2,2,3,3,4,5,5,5,6,6,7,3,3,4,4,4,5,5,5,9,9,8,8,2,2,3,6,7,8,8,8,8,8,9,9,9,9,10,10,10,10,8,7,7,6,9,8,8,7,7,8,6,6,6,6,6,6,8,7,7,7,4,4,3,3,3,2,2,3,4,3,2,3,4,3,6,6,6,6,6,6,7,7,7,7,6,5,5,5,5,5,5,5,5,6,6,8,9,9,10,9,9,4,4,4,4,4,4,6,7,6,8,3,3,5,5,5,6,5,5,6,6,6,6,6,6,5,4,4,4,4,4,4,5,5,4,3,4,4,7,8,9,5,5,5,8,5,7,7,4,5,6,5,5,5,5,6,5,6,6,6,7,8,6,5,4,5,6,6,7,6,8,7,3,3,6,6,6,6,7,6,6,4,3,3,7,8,1,7,6,3,7,4,4,5,4,7,4,8,7,9,10,6,9,9,5,2,5,6,5,11,5,5,5|10,8,4,7,4,6,6,5,5,5,5,5,5,5,5,6,6,7,7,8,6,10,9,7,7,7,7,10,9,9,8,5,7,9,8,8,8,7,10,8,8,8,8,8,8,7,3,7,4,4,7,8,7,5,6,6,6,5,5,4,3,3,3,3,3,4,4,5,6,6,7,7,6,5,5,5,5,5,4,4,4,4,4,4,4,4,4,5,5,8,7,7,7,6,6,8,3,4,5,5,5,7,7,7,6,6,5,5,4,4,4,4,4,4,6,7,6,6,6,6,6,6,9,8,8,8,8,8,7,7,7,5,6,6,7,6,7,7,8,8,8,9,9,9,6,5,4,6,4,3,3,3,7,7,5,5,6,7,5,4,7,6,6,5,5,5,6,6,6,7,7,8,9,8,8,8,8,9,5,4,4,6,3,3,2,2,2,2,3,3,4,5,4,5,5,6,6,6,7,8,8,8,9,8,8,5,5,6,5,5,5,7,8,8,9,6,5,4,4,5,5,3,3,4,4,4,4,4,4,5,6,6,7,7,7,5,5,6,6,6,7,7,3,2,7,8,9,9,6,6,4,5,10,6,7,4,7,6,3,3,3,4,5,6,4,7,4,9,9,9,6,4,4,7,5,7,7,7,9,3,2,5,5,3,3,9,6,7,7,5,7,1,7,7,4,6,5,4,8,9,5,5,9,7,10,5,8,6,4,6,5,9,3,7,5,5,5|4,3,6,5,7,6,5,5,4,4,4,4,4,4,4,4,5,5,6,7,6,4,5,3,3,3,2,5,4,4,3,4,4,3,3,3,3,2,5,3,3,4,4,4,4,5,6,6,7,6,7,8,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,8,7,7,6,5,5,5,5,5,4,4,4,4,5,5,5,6,6,6,3,2,2,2,2,3,6,7,5,7,7,6,7,7,6,6,5,5,5,5,5,5,5,5,5,4,4,4,3,3,3,3,3,4,4,4,3,6,6,5,2,2,5,5,4,4,4,5,5,5,5,5,5,5,6,4,4,5,2,7,6,6,6,2,3,3,3,2,2,4,4,3,3,3,3,5,5,5,5,5,5,6,7,7,7,6,6,5,6,4,5,5,3,5,6,6,6,7,7,6,6,5,4,5,4,4,3,3,2,2,4,4,5,5,5,5,6,4,8,7,6,7,2,3,2,4,5,5,7,7,8,8,6,5,7,7,8,8,5,5,4,4,4,3,3,4,8,7,8,7,7,4,4,6,7,5,4,4,5,4,3,9,4,8,3,2,6,3,3,6,6,6,5,9,9,5,4,4,5,5,6,2,5,5,2,5,2,5,5,4,6,7,4,3,6,6,5,5,5,2,5,6,7,1,5,5,8,7,6,5,3,7,5,4,4,5,3,4,6,6,6,4,4,6,7,4,4,4|7,5,8,2,9,9,8,7,7,6,6,5,5,4,4,4,3,2,2,3,9,7,8,7,7,7,5,8,8,7,7,6,7,5,5,5,5,5,9,4,4,4,3,3,2,2,6,3,5,5,3,4,3,4,4,3,3,5,4,5,6,6,7,7,7,7,7,8,8,9,5,4,4,4,4,4,4,4,5,5,5,6,6,6,6,8,8,8,9,7,6,6,6,6,6,3,7,5,9,10,9,3,4,3,3,3,4,4,5,5,5,6,6,7,3,3,3,4,4,4,4,5,8,8,7,7,2,2,2,5,6,8,8,8,8,8,8,8,9,9,9,9,9,9,7,7,7,5,9,8,8,7,6,7,6,6,5,5,6,6,7,6,6,6,4,4,3,3,3,3,2,3,3,3,3,2,3,3,5,6,6,5,6,7,7,7,7,7,6,6,5,5,5,5,4,4,5,5,5,8,8,9,9,9,8,4,4,5,5,5,5,5,6,6,7,3,4,6,6,6,7,6,6,6,6,7,7,6,6,5,3,4,3,3,3,5,6,6,5,4,3,3,8,8,8,3,4,4,7,4,8,7,4,5,5,5,4,4,6,6,6,6,7,7,7,7,6,4,3,4,5,6,6,5,8,6,2,2,5,6,7,6,6,6,7,3,3,2,6,8,3,7,5,1,7,5,5,6,2,6,5,8,6,8,9,6,8,9,5,3,5,5,6,10,4,4,4|8,6,3,6,4,5,4,3,3,3,3,3,4,4,4,5,5,6,6,7,4,7,6,5,5,5,5,7,7,6,6,3,4,7,6,6,6,5,8,6,6,6,6,6,7,7,4,7,5,5,7,8,7,5,6,6,6,5,5,5,3,2,2,2,2,2,2,3,4,4,7,7,6,5,5,4,4,4,4,3,3,3,2,2,2,2,3,3,3,5,5,5,5,4,4,8,4,4,4,5,4,7,7,6,6,6,5,5,4,3,3,3,2,2,6,6,5,5,5,4,4,4,6,6,6,5,7,7,7,5,5,3,4,4,5,4,5,5,5,6,6,6,7,7,3,2,2,4,4,3,3,2,5,5,3,3,4,5,3,2,5,4,4,3,5,5,5,5,6,6,7,8,9,8,7,7,7,8,3,2,3,4,2,3,3,3,4,4,3,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,5,4,7,6,5,6,5,6,6,7,5,5,5,6,6,7,4,3,5,5,6,6,3,3,4,5,5,5,6,6,6,6,7,7,6,6,6,3,3,5,7,7,8,4,4,6,3,9,4,5,4,5,5,4,4,4,2,7,7,2,5,2,8,8,8,4,2,2,5,3,5,6,6,8,3,4,3,3,3,3,7,5,6,5,3,7,4,5,7,1,7,6,4,7,6,6,3,7,5,7,3,6,4,4,6,4,7,4,5,4,4,4|10,8,7,5,8,10,9,8,8,7,6,6,6,6,5,5,5,5,5,4,9,10,11,9,8,9,8,11,11,10,9,7,9,9,8,8,8,7,12,7,7,7,7,6,6,6,4,4,3,4,4,4,4,3,3,4,4,3,3,4,5,6,6,6,7,7,8,8,9,10,3,3,3,4,4,4,4,5,5,5,6,6,6,6,7,7,8,8,9,9,8,8,8,8,7,5,5,4,9,10,9,4,4,4,4,4,4,4,5,5,5,6,6,7,5,6,6,6,6,6,6,6,10,10,10,9,5,5,5,8,8,9,9,9,9,9,10,10,10,10,11,11,11,11,8,7,7,7,8,7,7,7,8,9,7,7,7,7,7,7,9,8,8,7,4,4,4,5,5,4,5,5,6,5,5,6,7,6,6,6,6,7,6,6,6,6,5,5,5,5,5,5,5,5,6,6,7,7,7,9,10,10,11,11,10,4,5,2,2,3,3,8,9,8,10,4,4,3,3,3,3,4,5,4,4,4,4,6,5,6,5,5,6,6,7,2,2,2,2,2,6,6,7,7,10,7,7,8,8,6,4,7,7,7,7,4,7,6,5,4,5,6,4,3,6,9,6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