baoshuo/OI-codes
baoshuo/OI-codes
0
1
Fork 0
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-14 02:38:48 +00:00
Code Releases Activity
e97574f3e5
OI-codes/Luogu/P4269/data/P4269_8.out

95081 lines
186 KiB (Stored with Git LFS)
Plaintext
Raw Blame History

0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
0
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
0
0
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
0
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
0
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
0
0
0
0
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
0
0
0
1
1
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
0
0
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
0
0
1
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
0
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
0
1
0
1
0
1
1
0
1
0
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
0
1
1
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
0
1
1
0
0
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
0
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
0
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
0
0
0
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
1
0
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
0
1
0
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
0
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
0
0
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
0
1
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
0
0
0
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
0
1
0
0
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
0
0
1
1
0
1
1
1
0
1
0
1
0
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
1
0
1
1
1
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
0
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
0
1
1
1
0
0
0
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
0
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
0
1
0
1
0
0
0
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
0
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
1
1
0
0
0
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
0
0
1
0
1
0
0
1
1
0
0
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
1
0
0
1
0
1
0
1
0
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
0
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
0
0
0
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
0
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
0
0
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
0
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
0
0
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
0
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
0
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
0
0
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
0
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
0
1
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
1
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
0
0
0
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
0
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
0
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
1
0
0
1
1
0
0
1
0
1
0
0
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
0
0
1
1
0
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
0
0
1
0
1
0
1
1
0
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
0
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
0
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
0
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
0
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
1
0
1
0
1
1
0
0
0
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
0
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
0
1
0
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
0
0
1
1
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
0
0
1
0
0
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
0
0
0
1
0
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
0
0
0
0
0
1
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
0
1
0
1
1
0
1
0
0
0
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
0
1
0
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
0
1
0
0
0
1
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
0
0
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
0
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
0
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
0
0
0
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
0
0
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
0
1
1
0
0
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
1
1
0
0
0
1
0
0
1
1
0
0
0
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
1
0
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
0
0
0
1
0
0
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
0
0
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
0
0
0
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
0
1
0
0
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
1
0
1
0
1
0
1
0
0
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
0
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
1
1
0
0
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
0
0
1
0
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
0
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
0
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
1
0
0
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
0
0
1
0
0
1
0
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
0
0
0
1
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
0
0
0
1
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
0
1
0
1
0
0
0
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
1
0
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
0
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
0
1
1
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
0
0
0
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
1
1
0
0
0
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
0
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
0
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
0
0
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
0
1
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
0
0
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
0
0
1
1
0
1
0
0
0
0
0
1
1
1
0
1
0
0
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
0
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
1
0
1
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
0
1
0
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
View Git Blame Copy Permalink