0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-12-05 02:06:27 +00:00
OI-codes/Luogu/P2471/data/P2471_2.ans

10001 lines
58 KiB (Stored with Git LFS)
Plaintext

maybe
true
false
maybe
false
false
false
true
false
false
false
false
false
maybe
true
false
maybe
false
false
maybe
false
maybe
false
false
true
false
false
maybe
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
true
false
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
maybe
maybe
true
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
true
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
true
maybe
maybe
false
false
false
false
false
false
false
false
maybe
false
maybe
maybe
false
maybe
maybe
false
false
false
false
maybe
false
true
false
false
true
maybe
false
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
true
maybe
false
false
false
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
false
maybe
maybe
false
maybe
false
false
false
true
false
maybe
false
maybe
false
false
false
maybe
maybe
maybe
false
maybe
maybe
maybe
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
false
maybe
maybe
maybe
false
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
maybe
false
maybe
false
true
maybe
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
true
false
false
false
false
false
false
false
false
maybe
maybe
true
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
maybe
maybe
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
maybe
false
false
false
false
true
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
maybe
true
true
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
false
true
false
false
false
maybe
maybe
maybe
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
true
false
false
true
maybe
maybe
false
maybe
false
maybe
false
false
false
false
false
true
false
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
maybe
false
maybe
false
maybe
maybe
false
false
false
maybe
false
false
maybe
maybe
false
false
false
maybe
false
false
false
true
maybe
false
maybe
false
maybe
false
false
maybe
false
false
maybe
false
maybe
maybe
false
false
maybe
false
maybe
false
maybe
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
maybe
maybe
false
true
maybe
false
false
false
false
false
maybe
true
false
false
false
false
false
false
maybe
false
false
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
maybe
false
false
maybe
false
maybe
false
false
true
false
false
true
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
maybe
false
maybe
maybe
maybe
maybe
false
false
false
maybe
maybe
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
maybe
maybe
false
false
maybe
false
maybe
maybe
false
maybe
maybe
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
false
maybe
false
maybe
true
false
true
false
false
false
maybe
false
false
false
maybe
false
false
maybe
true
maybe
false
false
false
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
true
false
false
maybe
false
false
false
false
false
maybe
maybe
true
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
true
false
false
false
false
maybe
maybe
true
true
maybe
false
false
maybe
maybe
maybe
false
false
maybe
true
false
maybe
false
maybe
false
false
true
maybe
false
false
maybe
false
false
maybe
maybe
false
false
false
maybe
true
false
false
maybe
false
false
true
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
false
maybe
maybe
false
false
false
false
true
true
false
false
maybe
false
maybe
false
maybe
maybe
false
false
false
true
false
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
false
maybe
maybe
maybe
true
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
false
true
maybe
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
false
maybe
maybe
true
false
false
false
maybe
maybe
false
maybe
false
maybe
maybe
false
false
false
maybe
false
false
false
maybe
maybe
false
maybe
maybe
maybe
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
true
false
false
false
false
false
false
false
false
false
maybe
false
maybe
false
maybe
false
maybe
false
false
true
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
maybe
false
false
maybe
false
true
false
true
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
true
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
maybe
false
false
maybe
false
true
false
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
maybe
false
false
false
true
false
false
maybe
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
maybe
true
false
true
false
maybe
false
maybe
true
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
false
maybe
maybe
true
false
false
maybe
false
maybe
false
false
false
false
maybe
false
false
true
false
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
false
true
maybe
false
true
false
false
true
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
true
true
false
false
maybe
maybe
false
maybe
true
maybe
true
maybe
maybe
true
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
true
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
false
maybe
maybe
maybe
false
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
true
false
false
false
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
true
false
false
false
false
false
maybe
false
maybe
true
false
false
false
false
maybe
false
maybe
maybe
false
maybe
maybe
true
false
false
maybe
maybe
false
false
false
maybe
maybe
false
true
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
false
maybe
true
true
false
maybe
false
false
false
true
false
false
false
false
false
false
false
false
false
true
false
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
true
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
maybe
false
maybe
true
false
false
maybe
true
true
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
maybe
maybe
maybe
false
true
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
true
maybe
false
maybe
false
true
maybe
maybe
false
false
false
maybe
false
false
false
false
maybe
true
false
maybe
false
false
maybe
false
false
false
maybe
false
false
false
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
false
true
maybe
maybe
false
false
false
false
true
true
true
maybe
false
false
false
false
maybe
true
true
maybe
false
false
false
false
false
false
maybe
false
false
false
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
true
false
false
false
true
false
false
false
false
false
maybe
false
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
false
false
maybe
maybe
true
false
false
false
false
maybe
maybe
maybe
false
false
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
maybe
false
false
false
true
false
false
maybe
false
false
false
maybe
false
true
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
true
true
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
true
false
false
maybe
maybe
false
false
false
maybe
false
maybe
maybe
false
maybe
false
true
false
false
maybe
false
false
maybe
false
false
true
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
true
false
maybe
true
false
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
true
false
false
maybe
false
false
maybe
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
false
true
maybe
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
true
false
maybe
maybe
false
false
maybe
true
false
false
maybe
maybe
maybe
false
false
false
false
false
false
false
maybe
false
false
true
false
false
maybe
false
false
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
maybe
false
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
true
false
true
false
false
false
false
maybe
maybe
maybe
maybe
true
true
false
false
false
false
maybe
true
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
maybe
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
maybe
false
false
maybe
false
false
false
maybe
maybe
maybe
true
false
maybe
maybe
maybe
false
maybe
false
false
maybe
maybe
false
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
true
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
false
maybe
false
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
true
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
true
false
false
false
maybe
maybe
maybe
false
false
false
false
maybe
false
true
maybe
maybe
false
false
true
maybe
false
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
false
true
false
false
maybe
false
false
false
false
false
true
maybe
false
maybe
true
maybe
maybe
false
true
false
true
false
maybe
false
maybe
maybe
maybe
false
false
false
maybe
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
false
false
true
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
true
maybe
false
false
false
maybe
true
false
maybe
false
false
true
maybe
true
false
false
true
maybe
false
maybe
false
false
false
true
maybe
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
maybe
false
true
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
true
true
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
maybe
false
false
false
false
false
maybe
false
false
false
maybe
maybe
maybe
false
false
maybe
maybe
false
false
maybe
false
false
false
maybe
false
false
maybe
false
false
false
false
true
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
maybe
false
false
false
maybe
false
maybe
false
false
maybe
false
true
false
maybe
true
false
false
false
false
maybe
true
false
false
maybe
false
maybe
maybe
true
maybe
maybe
maybe
false
false
maybe
maybe
maybe
true
false
false
false
false
maybe
true
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
maybe
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
true
false
false
false
false
true
false
false
false
false
false
false
false
false
maybe
maybe
maybe
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
false
true
true
false
false
maybe
false
false
false
maybe
false
maybe
true
false
false
true
maybe
false
false
false
false
true
maybe
false
false
false
maybe
maybe
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
maybe
maybe
true
false
false
maybe
false
maybe
false
true
false
maybe
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
true
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
maybe
false
maybe
false
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
false
true
maybe
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
maybe
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
true
maybe
true
maybe
maybe
maybe
maybe
maybe
maybe
maybe
maybe
false
maybe
false
maybe
true
maybe
maybe
false
false
maybe
maybe
false
false
true
maybe
false
false
maybe
false
false
false
maybe
false
true
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
maybe
maybe
true
maybe
maybe
maybe
false
false
false
true
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
true
false
false
false
maybe
maybe
false
false
maybe
maybe
true
true
maybe
false
false
true
false
false
true
false
false
maybe
false
true
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
maybe
false
false
true
false
false
true
false
maybe
true
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
false
false
false
true
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
false
maybe
true
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
true
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
true
false
false
false
false
false
false
maybe
true
maybe
maybe
maybe
maybe
false
maybe
maybe
false
false
maybe
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
false
maybe
maybe
maybe
false
maybe
false
maybe
maybe
false
maybe
false
maybe
false
false
false
maybe
false
false
false
false
maybe
false
maybe
true
true
false
false
false
false
false
maybe
maybe
true
false
false
false
true
maybe
false
false
false
false
maybe
true
false
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
false
false
maybe
false
false
maybe
false
false
maybe
false
false
maybe
true
maybe
false
maybe
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
true
false
false
maybe
false
maybe
false
false
maybe
maybe
maybe
true
true
false
maybe
false
maybe
false
false
false
false
maybe
true
maybe
false
false
false
false
maybe
false
true
false
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
true
maybe
false
maybe
false
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
false
true
false
maybe
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
maybe
false
true
false
false
false
false
maybe
maybe
maybe
false
false
maybe
true
false
maybe
false
false
false
false
false
false
true
false
false
true
false
false
false
false
false
maybe
false
false
false
false
false
true
false
false
false
maybe
false
true
false
false
maybe
false
true
maybe
false
false
false
maybe
maybe
maybe
false
true
false
true
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
maybe
maybe
false
maybe
false
maybe
false
maybe
maybe
false
false
false
false
maybe
maybe
false
maybe
false
true
false
false
false
false
maybe
false
false
false
true
maybe
false
maybe
false
false
false
false
false
false
false
false
true
maybe
maybe
false
maybe
maybe
false
false
false
false
false
true
false
false
maybe
maybe
false
false
true
maybe
false
maybe
false
true
false
false
false
maybe
maybe
maybe
maybe
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
false
true
false
false
true
false
maybe
false
false
maybe
false
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
true
false
true
false
maybe
maybe
false
true
false
maybe
maybe
false
false
maybe
false
false
false
maybe
false
maybe
true
true
false
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
maybe
false
false
maybe
maybe
false
false
false
maybe
maybe
false
false
maybe
false
maybe
true
false
false
maybe
true
true
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
maybe
maybe
maybe
false
false
false
true
false
false
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
maybe
maybe
maybe
maybe
false
maybe
false
false
maybe
true
false
maybe
maybe
maybe
false
false
false
maybe
false
false
maybe
true
false
maybe
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
maybe
false
maybe
false
false
false
maybe
maybe
maybe
true
false
false
false
true
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
true
false
maybe
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
true
maybe
false
true
false
false
false
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
false
true
false
false
maybe
false
false
maybe
maybe
maybe
maybe
true
maybe
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
maybe
false
maybe
false
false
true
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
true
false
false
false
false
false
false
false
false
false
maybe
false
false
false
true
false
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
true
false
maybe
false
false
false
maybe
false
false
false
maybe
true
true
false
false
false
false
maybe
true
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
true
false
maybe
maybe
maybe
maybe
false
false
false
false
true
true
false
false
true
false
maybe
maybe
false
false
false
false
false
true
false
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
true
false
false
false
false
false
maybe
false
maybe
false
false
maybe
false
false
true
true
false
false
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
maybe
maybe
maybe
maybe
false
false
false
maybe
maybe
false
false
false
maybe
true
true
false
false
false
maybe
false
false
maybe
true
false
false
true
maybe
maybe
maybe
false
maybe
false
false
false
maybe
false
false
false
maybe
false
maybe
maybe
true
maybe
true
false
maybe
false
maybe
false
maybe
false
maybe
maybe
true
false
maybe
false
false
false
maybe
true
false
maybe
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
maybe
maybe
false
false
true
maybe
true
false
false
false
false
false
maybe
false
maybe
maybe
maybe
false
true
false
false
maybe
false
false
maybe
false
false
false
false
false
true
false
maybe
false
false
false
false
maybe
false
true
false
false
false
true
maybe
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
maybe
true
maybe
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
maybe
false
false
false
false
maybe
maybe
true
maybe
false
maybe
false
maybe
false
maybe
true
maybe
maybe
false
false
false
maybe
false
false
false
false
true
maybe
false
false
false
false
false
false
false
maybe
false
false
false
false
true
false
false
false
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
false
maybe
maybe
false
false
true
maybe
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
true
false
false
true
false
false
false
maybe
false
maybe
maybe
true
false
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
false
false
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
true
maybe
false
false
maybe
false
false
true
maybe
false
false
false
false
false
false
false
false
true
maybe
maybe
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
false
maybe
false
maybe
maybe
false
true
true
maybe
false
maybe
false
true
false
false
false
maybe
maybe
false
false
false
maybe
false
maybe
maybe
false
maybe
true
false
false
maybe
maybe
false
false
true
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
maybe
false
true
maybe
false
false
false
false
false
true
maybe
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
maybe
false
false
false
true
maybe
maybe
false
maybe
true
false
maybe
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
maybe
false
false
false
true
false
false
false
maybe
false
false
false
false
false
false
false
false
true
false
false
false
false
false
false
false
false
maybe
false
false
true
false
false
false
maybe
true
false
false
true
maybe
false
maybe
maybe
false
false
false
maybe
false
false
true
false
maybe
false
maybe
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
true
false
true
maybe
true
false
true
false
false
maybe
maybe
maybe
false
false
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
true
maybe
maybe
maybe
false
false
false
true
false
true
false
maybe
maybe
maybe
maybe
maybe
maybe
false
false
true
false
maybe
false
false
false
false
false
false
false
true
maybe
maybe
false
false
maybe
maybe
true
false
false
false
false
false
true
false
false
false
false
false
false
false
true
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
false
true
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
true
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
true
false
false
maybe
maybe
false
false
true
maybe
maybe
false
false
maybe
maybe
maybe
maybe
false
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
maybe
maybe
false
false
false
false
false
maybe
maybe
false
maybe
true
maybe
false
false
maybe
false
maybe
maybe
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
true
maybe
false
false
true
false
maybe
true
false
maybe
maybe
maybe
false
maybe
false
maybe
maybe
false
false
false
true
maybe
false
maybe
false
false
maybe
true
false
maybe
false
true
maybe
false
false
false
false
false
maybe
false
false
false
false
true
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
true
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
maybe
maybe
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
false
true
false
false
false
false
false
true
false
false
false
false
false
maybe
false
false
maybe
false
false
maybe
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
false
true
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
maybe
false
false
false
maybe
true
true
false
false
false
false
maybe
false
false
false
false
maybe
true
maybe
maybe
false
false
false
false
true
maybe
false
maybe
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
maybe
false
false
maybe
true
maybe
false
false
false
maybe
false
false
false
maybe
false
false
false
maybe
maybe
maybe
false
maybe
false
false
maybe
false
false
false
false
false
true
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
true
false
false
false
false
false
maybe
false
maybe
maybe
false
false
maybe
maybe
false
false
maybe
true
false
false
false
maybe
false
true
false
maybe
false
true
maybe
false
false
maybe
false
false
false
true
false
false
maybe
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
true
false
maybe
false
false
maybe
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
false
false
true
maybe
false
false
maybe
false
false
false
maybe
false
maybe
maybe
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
maybe
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
maybe
true
maybe
maybe
false
true
maybe
false
maybe
false
true
false
maybe
false
maybe
maybe
false
false
false
false
false
false
maybe
true
maybe
maybe
false
false
false
false
maybe
false
maybe
true
false
maybe
false
false
false
maybe
false
maybe
maybe
false
false
false
maybe
maybe
maybe
true
false
false
maybe
maybe
maybe
false
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
maybe
false
maybe
maybe
false
maybe
false
false
false
false
false
true
maybe
false
maybe
false
false
false
false
false
true
false
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
true
maybe
maybe
maybe
true
false
false
false
maybe
false
true
false
maybe
maybe
false
false
false
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
true
false
maybe
true
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
false
maybe
true
false
false
maybe
false
maybe
true
false
false
false
maybe
false
false
maybe
false
maybe
false
false
false
false
maybe
false
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
true
false
maybe
false
maybe
true
maybe
false
false
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
true
false
maybe
false
maybe
false
maybe
false
maybe
false
false
maybe
false
maybe
true
maybe
false
maybe
true
false
false
maybe
false
maybe
maybe
false
false
true
maybe
false
false
false
false
false
maybe
maybe
false
maybe
maybe
false
maybe
maybe
true
maybe
false
false
false
false
false
false
true
maybe
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
maybe
maybe
false
false
false
maybe
false
false
false
maybe
false
maybe
false
true
maybe
true
false
false
false
true
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
false
maybe
true
false
false
false
false
false
false
maybe
false
false
maybe
maybe
maybe
true
maybe
false
maybe
false
false
maybe
false
false
false
true
false
false
false
true
maybe
false
false
false
false
false
true
true
false
true
false
maybe
maybe
maybe
false
maybe
maybe
true
maybe
maybe
false
false
false
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
true
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
true
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
true
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
maybe
true
false
false
false
maybe
false
true
maybe
true
false
false
false
true
false
false
false
maybe
false
false
false
maybe
false
false
false
maybe
false
maybe
maybe
false
false
maybe
maybe
false
false
false
false
false
false
false
true
false
maybe
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
false
true
false
false
true
maybe
maybe
true
maybe
false
maybe
false
false
false
maybe
maybe
false
maybe
false
true
false
true
false
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
maybe
maybe
false
false
true
false
maybe
false
maybe
maybe
maybe
false
false
false
maybe
false
false
false
false
true
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
true
maybe
true
false
false
false
false
maybe
false
maybe
false
false
false
true
false
maybe
false
true
false
true
false
false
true
true
maybe
false
maybe
false
maybe
false
true
false
maybe
false
false
maybe
false
false
maybe
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
true
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
true
maybe
false
false
false
false
false
false
false
false
true
false
maybe
maybe
maybe
false
false
true
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
false
maybe
maybe
false
true
false
maybe
false
false
false
false
false
true
false
maybe
false
maybe
false
maybe
maybe
true
false
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
maybe
maybe
false
false
maybe
maybe
false
maybe
false
maybe
true
false
true
false
false
false
maybe
maybe
true
false
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
maybe
maybe
maybe
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
maybe
maybe
false
false
false
true
false
maybe
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
true
false
false
maybe
false
true
false
false
false
false
maybe
false
maybe
false
true
false
maybe
false
false
true
maybe
false
maybe
maybe
false
false
false
maybe
true
false
false
true
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
true
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
maybe
true
false
false
false
maybe
false
false
false
maybe
maybe
false
false
maybe
maybe
false
maybe
false
true
false
false
false
true
maybe
false
maybe
false
maybe
maybe
maybe
maybe
maybe
false
maybe
false
false
false
false
false
true
false
false
maybe
false
false
maybe
true
maybe
false
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
maybe
false
false
maybe
maybe
false
maybe
false
maybe
true
true
false
maybe
true
false
false
false
true
false
false
false
false
false
true
false
false
maybe
false
false
false
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
true
false
true
false
false
false
false
false
maybe
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
true
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
true
false
false
maybe
maybe
maybe
false
false
false
maybe
false
maybe
false
false
maybe
false
true
false
false
maybe
false
false
false
maybe
false
false
true
false
maybe
false
maybe
false
false
false
true
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
true
false
false
false
true
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
maybe
false
maybe
false
true
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
maybe
true
false
false
maybe
false
false
false
maybe
maybe
false
maybe
true
false
false
maybe
true
false
true
false
false
maybe
maybe
false
maybe
false
maybe
maybe
false
maybe
false
maybe
false
false
false
false
false
false
maybe
maybe
true
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
true
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
maybe
false
false
true
false
false
true
maybe
false
maybe
false
maybe
false
false
false
false
false
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
maybe
maybe
false
false
false
maybe
false
maybe
false
maybe
maybe
false
true
true
maybe
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
maybe
false
true
false
false
maybe
maybe
false
maybe
maybe
false
false
true
false
maybe
false
false
false
maybe
false
false
false
true
maybe
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
true
false
false
true
maybe
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
true
false
false
false
false
false
false
false
false
false
true
false
maybe
maybe
true
maybe
false
true
false
false
maybe
false
false
maybe
true
false
maybe
maybe
false
false
maybe
maybe
false
false
maybe
maybe
maybe
false
false
false
false
false
maybe
false
false
true
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
maybe
false
maybe
true
false
maybe
false
false
true
false
maybe
false
false
maybe
false
false
maybe
false
maybe
maybe
maybe
maybe
maybe
maybe
false
false
maybe
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
true
false
false
true
false
false
false
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
false
false
false
false
false
false
true
maybe
maybe
false
false
false
maybe
maybe
true
maybe
false
false
false
false
false
maybe
maybe
maybe
false
false
false
false
true
false
maybe
false
false
maybe
false
false
maybe
maybe
maybe
maybe
true
false
false
false
false
maybe
true
false
maybe
false
maybe
false
maybe
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
true
false
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
true
false
true
maybe
true
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
false
maybe
maybe
false
maybe
false
true
false
false
false
maybe
maybe
false
maybe
false
maybe
maybe
false
false
false
maybe
maybe
false
false
false
false
true
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
maybe
false
maybe
false
false
maybe
false
false
false
maybe
false
false
maybe
false
maybe
true
maybe
maybe
false
false
false
maybe
maybe
false
maybe
false
maybe
maybe
maybe
maybe
maybe
maybe
maybe
maybe
maybe
maybe
true
false
false
maybe
true
false
true
false
false
maybe
false
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
true
false
false
maybe
false
false
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
true
false
false
true
maybe
maybe
maybe
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
false
true
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
false
false
false
true
maybe
false
false
false
false
false
false
false
false
false
maybe
false
maybe
true
false
true
maybe
maybe
true
true
true
maybe
maybe
false
maybe
maybe
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
maybe
maybe
false
false
true
false
maybe
false
false
false
false
false
true
false
false
maybe
false
maybe
false
maybe
maybe
maybe
maybe
false
false
true
false
false
false
true
false
false
false
false
maybe
maybe
false
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
false
true
maybe
false
false
true
maybe
false
maybe
false
maybe
false
false
false
false
maybe
maybe
false
false
false
false
maybe
false
false
false
false
maybe
true
false
maybe
false
false
maybe
false
maybe
false
maybe
false
true
false
maybe
maybe
false
true
false
false
maybe
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
maybe
false
maybe
false
false
true
false
maybe
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
maybe
false
maybe
true
maybe
maybe
false
false
false
maybe
false
true
false
false
false
maybe
false
maybe
false
maybe
true
false
maybe
false
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
true
true
maybe
false
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
maybe
false
false
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
maybe
true
false
false
false
maybe
true
false
false
maybe
false
true
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
false
maybe
maybe
maybe
true
maybe
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
false
false
true
maybe
maybe
false
false
false
true
false
false
false
false
maybe
maybe
false
false
false
maybe
true
false
maybe
false
false
false
false
maybe
maybe
maybe
false
maybe
maybe
maybe
maybe
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
false
true
false
true
false
false
false
false
false
false
false
false
false
true
maybe
false
false
maybe
false
maybe
false
false
maybe
maybe
false
true
maybe
false
false
false
false
false
maybe
true
false
false
maybe
maybe
true
maybe
false
maybe
false
false
false
false
false
false
false
false
false
false
true
maybe
false
false
true
true
maybe
false
maybe
maybe
true
false
false
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
false
true
maybe
maybe
maybe
false
false
maybe
true
maybe
maybe
false
false
maybe
false
false
false
maybe
false
true
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
maybe
false
false
true
maybe
false
false
false
maybe
false
true
false
false
false
maybe
false
false
maybe
maybe
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
true
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
maybe
false
maybe
false
false
maybe
false
maybe
false
false
maybe
false
false
maybe
false
false
maybe
false
maybe
false
false
maybe
maybe
true
false
false
false
false
maybe
true
false
true
false
false
false
maybe
false
true
false
false
true
false
maybe
false
maybe
false
false
false
maybe
false
maybe
false
maybe
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
false
false
false
true
false
maybe
false
maybe
false
false
false
false
false
false
false
false
maybe
false
maybe
false
false
maybe
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
true
false
false
false
false
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
false
maybe
true
false
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
false
true
false
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
maybe
maybe
maybe
false
true
false
true
maybe
maybe
true
false
maybe
false
maybe
maybe
maybe
false
true
false
false
false
false
maybe
false
false
maybe
maybe
maybe
false
false
false
false
false
maybe
false
maybe
false
false
true
false
true
false
maybe
false
false
false
false
false
maybe
maybe
false
maybe
false
maybe
false
false
maybe
maybe
false
true
maybe
maybe
maybe
false
false
true
false
false
maybe
false
false
false
false
false
maybe
maybe
maybe
true
maybe
maybe
false
maybe
false
maybe
false
true
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
true
false
false
false
false
false
false
false
false
false
false
false
false
maybe
true
false
false
false
false
false
maybe
false
maybe
false
true
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
maybe
false
maybe
false
maybe
maybe
false
false
false
false
false
false
false
true
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
true
false
false
true
true
false
false
true
maybe
false
false
false
false
maybe
false
false
maybe
maybe
maybe
maybe
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
maybe
false
maybe
false
maybe
maybe
true
maybe
maybe
maybe
true
maybe
false
false
maybe
false
false
maybe
maybe
maybe
false
false
false
maybe
false
false
maybe
false
false
false
true
false
maybe
false
false
maybe
maybe
true
false
maybe
false
false
false
maybe
false
false
false
false
false
maybe
maybe
false
false
false
maybe
false
maybe
false
false
false
false
false
false
false
true
false
false
false
maybe
maybe
false
maybe
false
false
false
false
false
false
false
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
false
true
maybe
false
false
maybe
true
false
false
true
false
false
false
maybe
maybe
false
maybe
false
maybe
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
true
true
false
false
false
false
false
false
true
maybe
false
false
true
false
maybe
false
false
maybe
false
maybe
false
false
maybe
false
true
maybe
maybe
maybe
false
maybe
maybe
false
false
false
false
true
maybe
false
maybe
maybe
maybe
false
false
false
maybe
false
false
false
false
maybe
maybe
true
maybe
true
true
true
false
false
false
maybe
false
true
false
false
false
false
maybe
false
false
maybe
false
false
false
true
false
false
maybe
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
true
maybe
false
false
maybe
maybe
false
maybe
false
false
false
false
true
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
true
maybe
true
false
maybe
false
maybe
false
false
false
false
true
false
false
false
false
false
false
false
false
false
false
true
false
true
false
false
maybe
maybe
false
true
false
maybe
false
false
maybe
true
false
false
false
false
maybe
false
false
maybe
maybe
true
maybe
false
maybe
maybe
false
false
true
maybe
false
maybe
false
maybe
maybe
maybe
maybe
false
false
maybe
maybe
false
false
false
true
false
false
true
maybe
maybe
maybe
false
false
false
maybe
false
true
false
false
false
maybe
false
false
false
false
false
maybe
false
maybe
false
true
false
maybe
maybe
false
maybe
false
false
maybe
maybe
maybe
false
false
false
false
maybe
true
maybe
maybe
false
false
maybe
false
false
false
false
false
maybe
maybe
false
false
maybe
false
maybe
false
false
false
true
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
true
false
false
false
false
maybe
true
false
maybe
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
maybe
maybe
maybe
maybe
maybe
false
false
false
true
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
maybe
maybe
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
true
false
false
false
maybe
false
maybe
false
true
false
false
false
false
false
false
maybe
true
false
false
false
false
false
false
maybe
false
maybe
false
false
maybe
maybe
maybe
false
false
false
true
false
false
false
false
true
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
false
maybe
maybe
false
false
false
maybe
maybe
maybe
false
maybe
true
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
maybe
false
false
maybe
false
maybe
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
true
false
false
false
false
false
maybe
maybe
maybe
false
false
false
false
false
false
false
maybe
maybe
false
false
true
false
false
maybe
false
true
maybe
false
false
true
maybe
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
false
maybe
maybe
maybe
maybe
true
false
false
maybe
maybe
false
maybe
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
maybe
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
false
false
maybe
false
maybe
false
true
false
false
true
maybe
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
false
false
maybe
false
maybe
false
true
false
maybe
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
false
true
maybe
maybe
maybe
false
false
false
maybe
maybe
maybe
false
maybe
false
maybe
false
false
false
false
maybe
false
true
false
false
false
false
false
false
maybe
false
maybe
true
true
true
false
maybe
false
false
false
false
maybe
maybe
false
maybe
false
maybe
false
false
maybe
maybe
false
false
true
maybe
false
maybe
false
maybe
false
true
false
false
false
false
false
false
true
false
true
false
false
true
false
false
false
false
false
false
maybe
true
maybe
false
false
false
false
maybe
maybe
false
maybe
false
maybe
maybe
false
false
maybe
maybe
false
maybe
false
maybe
true
false
false
false
true
false
false
true
false
maybe
maybe
false
false
false
maybe
maybe
false
false
true
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
true
false
false
false
maybe
false
false
maybe
false
false
true
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
true
false
maybe
false
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
maybe
maybe
maybe
false
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
maybe
maybe
false
true
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
maybe
maybe
maybe
false
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
true
maybe
true
false
maybe
maybe
false
false
true
false
maybe
false
false
false
false
false
maybe
maybe
false
false
false
false
false
true
true
false
maybe
maybe
maybe
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
false
maybe
maybe
false
false
maybe
false
maybe
false
maybe
maybe
false
maybe
false
false
maybe
true
false
false
false
false
false
false
false
maybe
true
false
false
true
false
false
false
false
maybe
maybe
false
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
false
false
false
true
maybe
false
false
maybe
false
false
false
maybe
false
false
true
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
false
true
false
false
false
true
false
false
maybe
false
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
maybe
false
maybe
true
maybe
false
false
maybe
true
false
maybe
false
maybe
false
false
false
false
maybe
false
false
false
true
false
false
false
true
false
true
maybe
true
false
false
false
maybe
maybe
maybe
maybe
false
false
false
maybe
maybe
false
true
false
false
maybe
maybe
false
maybe
maybe
false
true
maybe
false
false
false
false
false
false
true
false
false
maybe
maybe
maybe
false
maybe
false
true
maybe
false
maybe
true
true
false
false
false
maybe
maybe
false
false
false
false
true
maybe
maybe
maybe
maybe
true
maybe
maybe
false
maybe
maybe
false
maybe
true
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
maybe
maybe
false
false
maybe
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
maybe
false
false
false
false
maybe
false
true
maybe
false
false
maybe
false
false
false
false
false
false
false
false
maybe
true
true
true
maybe
false
true
false
false
false
false
false
false
false
maybe
false
false
false
maybe
true
false
false
false
false
true
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
maybe
false
true
false
maybe
true
true
false
false
false
maybe
false
false
maybe
maybe
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
true
false
false
false
false
maybe
false
false
false
maybe
false
false
false
true
false
false
false
true
maybe
maybe
false
maybe
false
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
maybe
false
maybe
maybe
false
maybe
false
false
maybe
false
false
maybe
maybe
maybe
false
false
maybe
false
false
maybe
false
false
false
false
false
maybe
false
false
false
maybe
false
false
maybe
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
maybe
maybe
false
false
false
maybe
false
false
false
maybe
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
false
false
maybe
false
false
maybe
false
false
false
maybe
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
false
false
false
false
maybe
false
false
false
maybe
false
false
maybe
maybe
false
false
false
maybe
false
false
maybe
maybe
maybe
false
false
true
true
false
false
maybe
false
maybe
maybe
false
false
false
false
maybe
false
false
false
maybe
true
maybe
maybe
false
maybe
false
false
false
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
false
false
false
false
false
false
false
false
false
maybe
maybe
true
false
maybe
maybe
false
false
false
false
false
maybe
false
false
maybe
maybe
false
false
false
false
false
false
maybe
false
maybe
maybe
false
maybe
maybe
false
false
false
false
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
maybe
maybe
false
false
maybe
false
maybe
maybe
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
false
false
false
maybe
false
false
false
true
maybe
maybe
false
false
maybe
false
false
false
false
false
false
true
maybe
false
maybe
false
false
maybe
false
false
false
false
false
false
maybe
false
false
false
false
false
false
false
maybe
false
maybe
false
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
maybe
false
true
maybe
false
false
false
false
false
false
false
maybe
false
maybe
false
maybe
false
maybe
false
false
false
maybe
false
false
false
false
true
false
false
maybe
maybe
maybe
false
false
maybe
false
maybe
false
maybe
maybe
true
true
false
false
false
maybe
maybe
maybe
maybe
false
maybe
maybe
false
false
maybe
false
false
false
maybe
true
maybe
maybe
maybe
false
maybe
false
maybe
false
maybe
false
maybe
false
false
maybe
false
maybe
false
false
false
false
false
false
maybe
true
false
false
false
false
maybe
false
false
maybe
true
false
false
maybe
maybe
false
false
false
maybe
maybe
false
true
false
true
false
false
false
maybe
false
false
false
maybe
false
false
true
maybe
false
maybe
maybe
maybe
true
false
true
false
false
maybe
false
false
false
false
false
false
false
false
false
maybe
false
false
maybe
false
false
false
false
maybe
false
maybe
maybe
false
false
maybe
false
false
maybe
maybe
false
maybe
false
false
false
true
false
maybe
false
false
maybe
maybe
maybe
false
false
true
false
false
false
false
maybe
false
true
maybe
false
false
maybe
false
maybe
maybe
false
false
maybe
false
false
false
false
false
false