0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-14 07:58:47 +00:00
OI-codes/LibreOJ/10114/data/stars8.out

15001 lines
44 KiB (Stored with Git LFS)
Plaintext

2
2
3
2
4
2
4
4
3
3
4
4
3
4
4
5
4
3
6
4
4
5
5
4
5
2
6
4
3
8
3
4
7
5
5
5
4
5
4
3
6
5
6
6
6
5
4
7
6
5
6
3
8
6
4
8
3
6
4
6
7
8
3
4
10
3
6
5
4
5
5
5
6
6
6
8
6
4
5
4
6
4
4
5
6
6
5
5
4
4
5
6
3
5
7
7
4
3
5
5
8
4
4
8
6
7
3
5
6
4
4
6
2
8
2
7
6
5
4
4
3
9
8
5
5
6
3
2
8
6
6
5
4
4
8
6
3
7
5
6
4
6
2
7
7
2
7
4
3
9
3
1
2
7
3
3
6
6
3
8
2
4
2
4
4
5
3
2
5
4
9
2
3
6
4
4
4
8
2
5
7
4
3
3
3
5
1
5
4
9
3
4
7
8
2
3
2
5
5
4
4
1
9
7
1
3
4
4
3
5
2
5
6
2
6
4
5
4
8
2
0
6
5
4
9
3
5
5
5
2
4
4
3
4
2
4
5
6
4
4
3
4
6
4
4
8
4
5
3
3
1
5
6
2
3
6
3
5
3
4
4
4
2
5
2
8
5
6
7
2
3
2
9
4
1
4
8
4
2
4
5
2
3
5
6
1
5
3
6
7
0
3
5
4
5
6
3
2
5
4
4
1
4
5
2
6
2
5
1
5
4
5
3
2
7
2
3
3
0
4
5
2
2
5
6
2
6
2
3
6
8
7
2
1
5
1
4
3
5
5
3
1
2
8
3
2
4
5
4
3
2
5
5
2
1
3
5
5
6
1
5
3
3
4
3
5
4
1
3
2
5
5
7
6
3
5
2
3
4
3
6
5
2
5
4
4
5
4
4
2
3
5
2
4
4
5
4
2
5
4
2
5
3
2
2
5
3
3
1
3
4
4
4
5
3
2
6
6
1
3
3
3
7
2
3
1
5
4
8
4
2
3
2
3
5
4
3
4
1
3
2
3
3
7
2
6
4
4
1
2
3
4
1
6
3
2
6
3
2
5
3
5
4
3
2
4
3
5
3
2
6
2
4
4
3
2
2
2
6
3
5
0
5
5
3
4
1
5
1
3
7
4
3
3
5
2
5
1
5
2
2
2
3
7
4
3
3
2
8
3
3
5
4
7
4
2
3
3
3
4
4
5
3
4
3
1
5
4
2
4
4
6
4
5
0
3
3
2
7
1
0
5
1
2
3
0
6
3
3
4
3
2
5
1
3
1
2
3
2
3
4
5
3
3
2
6
5
2
5
4
2
2
3
3
6
7
2
2
1
3
3
2
5
2
5
5
5
7
1
3
1
2
2
3
1
2
4
6
3
4
4
1
2
4
5
0
4
5
2
4
0
4
4
1
4
2
4
2
2
3
6
3
3
5
2
2
2
4
1
4
3
4
4
4
2
4
3
4
3
0
7
4
1
2
1
7
4
4
3
2
2
3
3
2
4
5
3
4
1
4
3
5
2
3
3
4
0
4
0
6
2
6
6
4
2
3
4
4
4
2
2
4
4
4
4
3
1
2
6
3
3
5
1
2
2
2
4
3
5
5
1
5
0
4
4
1
5
3
6
4
3
6
1
1
0
3
3
3
1
3
2
5
5
2
2
3
2
2
2
4
4
1
4
3
3
2
2
3
3
2
1
4
1
3
4
6
3
3
4
1
1
3
2
2
6
5
5
5
4
2
2
3
4
3
4
2
5
1
2
2
3
6
4
1
1
3
2
9
2
6
3
0
4
1
6
3
2
2
6
3
0
2
5
2
2
4
3
3
1
6
4
1
3
4
2
4
2
2
3
1
2
2
3
5
4
5
3
4
2
5
1
3
1
4
1
4
3
2
4
5
3
2
2
1
1
6
4
4
2
3
3
1
3
3
2
1
3
3
1
5
3
1
4
2
3
5
1
3
1
3
3
2
3
1
5
3
2
5
2
6
1
8
7
0
2
2
2
0
1
4
1
2
4
4
3
4
0
1
8
5
2
1
3
3
2
2
3
4
5
1
4
1
2
4
4
1
3
3
4
4
5
2
1
1
2
4
5
5
5
4
3
6
3
3
2
3
1
1
5
1
1
2
1
3
4
2
3
4
3
0
1
4
5
3
0
3
1
4
4
3
3
3
4
3
6
3
2
2
1
2
1
1
4
3
6
2
2
4
6
2
1
4
3
3
1
2
3
4
5
3
1
1
2
5
2
2
1
1
2
6
2
2
3
4
1
3
1
3
2
3
4
1
4
2
1
3
3
4
3
3
2
3
7
1
3
0
3
3
3
4
2
2
5
1
3
3
2
5
5
1
5
3
4
2
1
2
2
2
4
0
3
2
4
1
2
1
2
2
2
4
5
1
4
3
2
4
2
5
2
4
2
4
2
3
4
2
3
1
4
1
0
4
1
3
5
3
5
3
2
2
5
6
1
1
3
2
2
1
3
1
3
3
6
2
4
4
2
5
0
2
2
2
2
4
1
3
3
2
2
2
7
1
2
2
2
3
3
3
2
2
1
6
4
3
2
2
1
3
3
3
4
1
0
3
1
2
5
1
3
2
1
6
2
1
5
3
1
1
6
0
2
0
2
2
3
4
3
1
2
2
1
4
2
0
6
4
1
5
2
3
7
2
1
1
1
2
1
3
3
3
2
5
4
3
5
3
4
3
5
3
1
2
2
2
2
5
2
2
1
4
3
5
1
4
4
1
2
2
3
2
3
5
2
5
2
2
4
5
3
1
0
2
2
4
4
3
3
1
3
1
1
0
5
1
3
4
3
2
2
2
2
3
2
2
2
3
2
4
1
4
2
2
4
4
2
3
3
1
4
7
3
1
1
3
1
2
2
0
1
3
2
2
1
3
1
2
8
5
2
2
3
1
1
2
1
4
4
5
4
2
0
5
3
1
2
0
1
2
0
3
4
1
5
4
3
2
1
2
2
2
1
1
6
4
3
1
4
3
3
3
4
0
5
3
0
3
2
1
2
2
3
2
2
3
3
1
1
1
2
2
2
3
4
7
1
2
3
1
3
4
1
3
0
3
2
3
0
3
2
1
4
4
0
4
2
4
3
0
2
5
1
0
3
4
3
4
2
3
3
2
2
4
0
1
4
3
3
1
0
3
0
1
5
6
2
4
1
3
0
3
7
1
4
3
2
1
1
1
6
2
1
3
1
1
2
3
3
1
2
3
3
3
2
2
0
2
4
1
3
3
2
3
2
4
1
4
3
4
3
2
1
3
4
1
3
1
3
2
2
0
2
1
5
0
3
4
1
3
3
4
4
2
1
4
3
2
0
1
2
1
0
3
1
2
3
2
4
2
3
2
0
0
5
3
1
0
3
2
2
1
4
6
0
1
2
5
2
1
2
3
3
4
3
2
0
2
2
2
6
2
4
3
1
1
2
2
3
0
2
4
2
2
3
1
3
1
2
2
3
3
3
2
2
3
3
2
1
1
3
2
2
1
4
2
2
5
3
2
4
2
2
1
2
3
0
3
2
0
3
4
6
1
2
2
1
2
4
3
1
3
1
2
2
1
1
1
4
3
1
2
3
0
1
3
3
2
6
5
5
2
2
5
1
4
1
1
1
2
1
2
4
1
1
1
1
3
1
1
3
3
3
1
6
2
1
5
4
0
2
2
2
2
3
1
4
1
1
1
3
4
2
0
1
3
2
1
2
3
4
1
4
0
2
4
0
1
3
0
2
4
3
1
3
1
5
2
3
4
0
4
2
2
1
0
0
2
2
2
3
4
2
3
2
2
2
2
4
2
1
3
2
2
1
2
1
3
4
0
2
2
2
3
2
3
3
2
1
1
2
5
2
1
2
0
3
2
1
1
3
2
2
3
1
4
4
0
3
0
2
2
4
4
3
2
2
2
1
2
3
0
1
2
4
4
1
0
3
2
3
1
3
2
0
4
1
1
2
3
1
3
3
0
2
4
1
2
1
3
6
3
2
0
2
2
1
0
0
2
3
3
3
3
1
3
0
2
2
2
0
5
3
1
3
3
2
2
1
2
1
1
3
3
3
0
3
5
7
1
1
4
0
0
3
2
3
0
1
5
1
4
2
2
1
2
4
1
6
1
4
4
0
0
8
0
4
4
2
0
2
2
1
5
0
2
3
2
1
0
2
2
1
4
0
6
1
2
1
4
1
2
4
1
4
1
0
3
3
0
2
3
1
2
3
2
1
3
0
1
2
0
4
1
1
4
4
3
1
4
2
1
6
1
3
1
3
0
3
1
1
3
3
1
2
2
2
2
1
4
2
5
4
1
3
1
2
1
4
0
0
2
4
2
1
2
4
5
0
4
2
2
0
3
3
2
2
2
5
1
4
3
1
1
1
2
1
1
3
2
2
0
2
0
1
3
2
1
3
2
0
1
3
4
2
2
5
1
4
3
5
3
4
2
2
0
2
2
1
1
1
2
1
2
1
2
0
4
3
4
2
3
4
1
1
4
1
0
3
2
1
3
1
4
1
1
1
2
2
4
2
5
3
0
4
3
1
0
1
4
0
3
3
1
1
0
0
1
0
4
2
1
3
1
1
3
1
1
5
3
3
2
1
1
2
4
3
0
3
1
1
1
2
0
2
3
2
2
1
5
0
3
3
4
1
0
1
4
2
3
1
3
3
1
0
3
2
3
2
2
1
4
2
1
2
1
5
1
2
2
2
1
1
3
1
3
2
2
1
2
4
1
4
2
0
3
2
1
0
2
1
3
3
1
1
3
0
1
3
1
2
1
3
5
0
3
3
3
2
2
1
1
1
0
2
1
3
1
1
4
1
3
3
4
4
0
1
1
3
2
4
3
4
3
2
2
3
0
2
1
0
3
2
0
2
0
3
1
1
4
1
1
3
1
1
4
2
3
3
1
1
0
1
2
3
2
3
3
1
3
1
1
3
4
1
1
1
2
1
5
4
1
1
2
2
0
4
1
2
1
3
3
2
3
0
2
1
1
0
1
2
3
1
0
4
1
1
0
4
4
2
2
2
1
4
5
4
3
1
3
0
1
1
3
1
2
2
0
2
2
3
2
1
0
0
2
3
1
3
2
1
2
2
2
5
2
2
0
5
2
2
0
1
3
2
4
5
1
2
3
1
1
2
1
2
2
0
4
1
1
2
3
2
2
1
2
2
2
4
4
0
2
1
0
2
0
2
2
2
4
1
1
0
3
1
1
1
2
3
4
2
4
2
3
4
1
1
2
2
1
1
1
4
3
4
1
1
0
1
0
2
1
1
2
1
3
0
4
2
1
0
2
1
2
1
6
4
0
2
2
1
1
2
1
2
1
0
2
2
0
3
1
1
1
2
1
1
2
1
3
1
3
2
2
2
2
3
0
4
1
1
2
1
5
2
1
0
5
4
2
5
2
1
4
1
1
2
1
0
3
0
4
1
0
3
2
0
0
1
1
0
2
2
4
1
2
0
5
1
5
0
1
2
2
1
5
2
2
3
6
2
2
1
1
2
1
3
3
2
3
1
1
1
2
2
3
1
2
3
2
0
1
3
2
3
1
0
0
1
2
3
2
3
2
3
0
3
0
1
2
2
1
1
2
5
1
1
2
1
0
4
6
0
1
3
4
2
2
1
1
0
1
0
1
5
0
1
0
1
0
1
2
4
1
1
1
2
1
5
2
6
2
0
1
1
2
2
1
4
2
0
2
1
4
1
3
2
0
2
3
0
0
0
0
1
3
3
0
3
2
3
1
2
1
0
1
4
3
1
3
1
3
3
2
3
0
3
2
1
0
1
1
1
1
2
5
1
6
2
3
1
1
1
2
2
1
0
0
0
5
1
1
2
2
4
4
1
0
2
0
2
1
3
3
2
0
3
2
3
0
3
1
0
1
2
3
2
2
2
2
3
3
0
1
2
0
2
1
1
1
0
1
2
2
2
1
2
2
4
6
3
1
2
1
3
2
1
1
4
2
5
1
0
1
3
1
3
1
4
1
0
1
1
2
1
3
3
0
3
2
0
2
0
0
0
0
4
1
0
2
2
4
3
2
1
2
2
2
2
3
1
1
2
0
3
2
2
0
2
1
1
0
1
4
1
1
3
0
2
1
3
3
1
4
1
1
1
2
3
3
3
0
1
4
0
1
2
2
3
3
2
3
6
2
3
0
0
0
0
0
1
1
3
2
1
1
0
1
3
2
3
2
0
3
1
2
1
0
3
0
1
3
2
5
3
1
4
4
2
2
3
2
4
0
1
2
2
2
3
1
1
1
1
1
1
1
2
2
2
2
1
0
4
3
1
2
1
0
2
0
1
1
3
0
2
2
2
2
0
1
3
2
1
2
2
2
1
4
1
1
2
4
2
0
1
1
1
0
1
0
1
1
1
2
0
1
1
2
1
1
2
2
3
1
1
1
1
5
1
5
1
2
0
2
5
1
2
2
0
2
5
2
1
1
3
1
1
0
3
0
2
4
2
1
0
2
3
1
3
1
1
0
3
2
2
1
1
2
2
4
0
4
1
2
0
0
2
1
1
3
1
2
1
3
3
2
1
2
2
2
0
1
1
1
0
0
3
4
1
3
3
2
1
2
0
1
1
1
0
0
4
3
1
1
1
1
4
4
4
2
1
2
3
0
2
3
1
3
3
1
0
0
2
1
3
0
2
0
1
0
3
0
0
1
4
1
3
3
2
1
2
2
1
1
3
3
0
2
0
1
1
0
1
1
4
0
4
2
0
3
1
4
1
3
1
0
2
2
2
3
3
1
3
0
5
0
2
4
1
0
0
1
1
0
3
0
2
2
2
4
1
1
2
1
1
1
0
2
3
2
2
4
1
3
2
2
1
1
3
1
3
0
2
1
3
0
2
0
2
2
2
0
0
2
1
4
0
1
2
3
0
1
4
1
2
1
3
2
2
1
2
1
1
2
0
1
3
2
3
0
2
2
1
1
2
5
2
1
2
1
0
1
0
0
1
2
1
4
2
1
2
1
0
1
1
0
1
1
0
3
1
1
0
1
1
3
3
2
1
3
1
3
0
2
6
1
3
3
1
3
1
0
2
2
2
1
0
1
1
2
0
1
3
2
2
0
1
2
2
1
2
0
1
1
0
1
1
0
1
1
2
1
3
1
2
0
4
2
4
1
1
0
2
3
0
1
2
4
2
1
2
2
1
0
1
1
2
2
2
2
0
1
3
2
3
1
2
0
2
1
1
2
1
3
3
2
2
3
0
0
2
3
2
2
2
1
1
0
0
2
0
2
5
2
3
1
2
1
1
1
1
0
2
1
1
0
2
1
2
1
0
1
1
2
1
0
1
2
2
2
0
1
2
3
0
2
4
1
2
0
1
0
2
3
2
3
3
1
2
1
1
0
0
0
0
4
2
1
0
2
2
1
3
1
3
2
1
1
2
3
0
4
0
4
1
1
0
2
1
2
0
2
3
3
1
2
0
0
4
1
2
0
1
2
1
1
1
2
2
1
4
1
3
0
1
3
2
1
2
0
2
2
2
3
0
2
2
0
3
1
1
1
2
2
1
0
0
0
1
2
1
1
0
2
1
3
4
2
2
1
2
1
1
2
0
0
2
2
0
1
2
0
2
1
0
2
3
1
2
0
3
1
2
3
1
2
4
0
3
2
1
0
0
2
5
2
3
2
0
0
1
1
2
0
0
1
4
1
6
2
1
1
1
2
0
2
1
2
2
2
0
2
0
3
0
2
0
5
0
1
2
1
0
1
0
2
2
0
1
1
3
1
5
1
0
2
1
0
0
1
1
2
2
2
6
2
2
0
2
0
0
1
1
1
1
1
0
1
2
1
2
2
0
1
0
3
2
3
0
1
1
1
1
2
0
0
5
5
2
2
0
2
1
1
4
2
0
1
3
1
0
1
4
1
2
1
2
0
0
0
2
1
1
2
0
1
3
0
0
4
2
0
0
4
0
1
1
3
3
2
4
1
1
1
5
0
1
0
1
0
1
2
0
2
1
3
0
1
1
2
1
3
0
3
2
2
2
1
0
1
2
1
3
1
1
2
3
3
0
0
1
0
1
4
1
0
1
1
2
1
3
1
1
1
0
1
0
2
2
4
2
1
3
4
1
1
2
0
1
0
1
1
3
1
1
0
3
3
0
1
1
1
1
4
3
2
1
0
1
0
2
2
1
4
3
2
4
1
2
2
1
0
2
0
1
3
0
2
1
0
0
2
2
2
1
1
0
3
2
2
0
0
1
3
2
0
0
1
1
3
0
1
2
3
1
1
1
1
2
3
0
6
0
1
1
0
2
0
0
2
0
2
0
3
3
1
1
1
3
3
4
3
3
0
0
1
0
2
0
4
1
2
0
1
0
0
1
0
1
0
4
0
4
0
0
3
1
2
0
0
1
1
0
2
0
1
1
1
1
2
2
1
4
2
2
2
1
0
2
4
1
1
1
1
2
0
3
3
1
2
1
0
2
1
3
1
2
1
4
2
0
1
0
1
2
3
3
0
1
2
0
2
2
3
1
2
1
0
2
2
2
2
1
0
3
0
1
1
1
0
0
2
4
3
1
1
1
2
2
1
1
1
0
0
4
2
3
0
0
2
0
0
0
0
0
3
2
1
3
1
2
5
1
1
0
1
0
1
0
0
3
3
3
3
2
4
3
2
2
2
1
0
2
3
4
0
2
1
0
0
2
0
0
0
0
1
2
2
5
1
2
2
3
1
1
2
1
2
2
1
1
1
0
2
1
4
1
1
3
0
1
2
2
1
2
2
2
2
1
1
2
2
1
0
1
0
0
0
0
1
2
0
2
1
1
2
2
3
1
0
3
0
0
0
1
0
0
4
1
2
0
2
3
2
1
0
1
0
2
0
2
0
0
1
1
2
1
5
1
1
3
1
1
2
2
2
2
1
2
0
1
2
4
0
2
0
0
1
0
0
1
1
2
2
3
1
1
1
2
1
1
1
0
0
1
3
2
1
1
1
0
2
1
1
1
2
1
3
1
2
2
5
3
2
0
1
1
3
0
0
2
1
0
0
1
1
0
2
1
1
1
1
0
3
2
2
1
1
1
0
2
1
1
2
1
0
1
0
4
0
0
0
2
2
1
3
1
4
2
0
0
8
1
0
0
7
1
2
1
2
1
0
0
1
2
2
1
0
0
1
0
3
0
1
0
2
3
1
2
2
1
2
1
0
0
1
2
0
2
1
1
1
1
3
1
0
1
2
1
0
1
5
4
4
1
1
0
0
2
1
0
1
0
1
0
1
2
2
0
0
3
0
4
1
1
1
2
2
0
0
0
2
3
0
1
1
1
3
2
1
2
1
1
0
3
0
1
1
1
1
3
0
3
0
1
3
1
1
1
2
1
1
0
1
1
3
1
2
2
2
1
2
0
1
0
0
1
0
1
3
1
2
1
0
3
2
0
1
3
2
0
0
0
1
2
2
1
2
3
1
0
0
4
1
0
1
1
2
1
3
3
1
4
3
0
1
0
0
1
1
1
2
1
0
2
2
2
2
3
2
0
0
1
1
2
3
1
2
2
1
2
1
0
1
2
1
0
0
0
2
2
2
1
1
0
0
4
1
0
0
3
1
3
2
2
1
0
4
0
1
0
1
3
1
0
2
2
2
0
0
0
0
0
0
3
3
1
0
4
0
3
0
0
2
2
2
0
1
1
1
0
2
2
1
2
0
0
0
0
3
2
3
1
2
2
2
0
4
1
1
0
1
1
2
2
0
0
2
0
2
1
2
0
2
4
0
2
0
3
1
1
0
0
2
3
2
0
3
0
3
0
2
2
1
2
2
1
2
0
1
3
2
1
3
2
2
0
1
1
2
1
1
1
1
1
2
1
1
0
4
3
1
1
1
1
1
1
1
2
1
0
2
0
0
0
0
3
1
1
0
1
2
2
2
1
1
4
2
0
1
0
2
1
0
1
1
3
0
1
1
3
2
3
1
0
1
2
2
0
2
0
4
1
4
1
0
2
0
0
1
1
1
0
0
3
1
2
2
1
0
1
0
2
2
1
0
3
0
0
2
1
0
2
3
1
0
2
3
0
1
3
4
0
3
2
1
1
2
0
0
2
2
0
2
1
1
0
2
2
2
1
1
1
1
0
1
1
1
1
0
2
1
1
1
0
0
1
1
3
2
1
1
0
2
1
2
0
1
0
1
0
1
1
0
1
0
2
0
2
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
0
1
2
1
2
0
0
1
5
0
2
1
1
0
2
0
4
2
0
1
2
1
1
0
1
1
0
1
1
1
2
0
3
0
1
1
1
3
1
0
1
0
1
0
2
0
3
2
0
3
1
1
1
5
2
0
1
0
0
3
1
3
0
2
1
0
1
0
1
4
1
1
0
0
2
1
1
1
4
0
1
2
2
1
1
1
0
2
0
1
0
2
0
2
2
4
1
3
3
2
1
1
2
0
0
2
4
0
2
1
0
1
3
0
1
1
1
0
2
0
4
1
1
1
1
0
0
1
0
2
1
1
2
0
1
0
2
1
2
3
0
3
2
3
3
2
0
1
1
0
0
1
0
1
2
1
1
0
2
1
2
3
0
1
0
2
1
1
6
1
0
0
1
2
0
1
1
1
1
2
1
1
2
1
0
1
0
2
1
0
1
2
0
3
1
0
2
0
2
0
3
3
1
2
0
2
2
1
1
4
1
1
2
0
2
2
2
0
2
0
2
0
0
2
0
1
3
1
1
1
0
4
2
0
0
1
0
1
1
1
0
2
1
2
0
2
1
2
3
0
0
0
0
1
2
1
1
1
3
2
1
2
0
3
1
1
1
2
0
2
2
0
2
1
0
0
4
2
2
0
0
1
1
0
0
0
0
1
4
1
1
0
0
1
2
0
3
3
0
1
1
2
0
2
1
3
2
0
0
0
3
3
1
0
1
1
0
2
0
1
3
0
1
1
0
1
1
3
3
1
2
1
2
0
2
2
1
2
0
1
1
5
1
0
0
0
1
2
3
1
3
0
0
2
1
0
1
2
3
0
0
1
4
1
1
1
1
0
1
1
1
0
0
0
1
3
3
0
0
1
3
1
1
1
1
3
0
0
2
0
0
1
0
1
2
3
1
1
2
1
2
1
0
3
0
2
1
0
1
0
0
2
1
1
1
0
3
2
0
0
1
3
0
0
0
1
2
1
3
2
1
2
3
0
2
1
1
1
4
0
1
0
2
1
2
0
2
0
1
2
2
1
1
0
0
2
2
1
2
1
3
0
2
1
1
1
1
0
1
0
3
1
0
0
0
3
2
1
0
1
1
1
3
1
2
1
1
0
2
2
1
1
0
1
3
1
1
2
2
0
0
0
0
2
0
0
2
2
1
0
2
2
0
2
1
1
1
0
3
0
1
1
0
0
0
1
1
0
0
0
1
4
0
2
1
1
1
4
0
1
1
1
2
2
2
2
1
1
1
0
1
0
0
2
3
0
0
1
1
1
3
2
1
2
1
2
2
2
2
0
1
1
0
0
0
3
1
0
0
0
1
0
1
2
0
0
1
0
2
1
2
3
1
1
1
1
3
1
3
0
0
0
3
1
0
0
0
2
0
2
0
2
2
1
1
1
1
3
3
0
2
2
1
1
2
0
1
1
3
2
0
0
1
1
1
0
2
1
0
2
0
0
1
0
3
1
1
0
0
0
1
1
0
2
0
0
1
2
3
1
1
1
1
1
2
0
1
1
0
5
0
2
1
0
2
3
0
0
0
1
1
0
1
3
1
1
1
2
1
1
2
2
1
1
1
1
0
0
1
1
0
1
0
2
2
1
0
0
0
1
3
1
1
2
1
2
1
1
0
1
1
1
0
1
1
2
0
1
2
1
0
0
1
1
1
1
2
1
1
1
1
1
0
1
1
2
0
1
0
0
1
1
1
0
1
0
2
1
0
0
2
3
2
0
1
0
1
3
0
1
2
1
2
2
1
1
0
1
0
1
0
3
0
0
3
3
3
0
1
0
1
2
2
1
0
1
1
2
3
0
3
2
1
2
2
1
1
3
1
0
0
0
1
0
0
0
1
0
1
1
0
1
0
0
0
1
1
0
3
0
0
4
0
2
2
2
0
1
2
1
1
0
1
0
0
0
0
1
1
1
0
1
2
1
3
0
1
1
4
2
1
1
0
0
0
0
1
1
1
0
2
1
2
2
1
2
2
1
2
0
0
0
3
1
3
1
0
0
1
1
0
2
0
1
1
1
1
1
1
0
1
2
1
2
1
2
2
2
1
2
1
1
2
1
0
0
1
1
0
1
0
2
0
1
0
0
0
2
4
2
0
1
0
0
0
0
1
2
1
0
2
1
0
0
1
0
0
1
0
2
4
1
2
2
2
1
0
2
2
2
0
0
0
3
4
1
2
2
0
1
0
1
1
0
2
0
1
1
1
3
2
0
1
1
2
0
1
0
0
0
0
2
1
1
0
0
1
2
1
2
1
0
3
0
2
2
2
1
0
1
0
0
1
2
1
1
1
0
1
2
2
1
0
1
0
2
2
1
2
0
0
0
0
1
3
1
1
2
1
1
0
0
0
1
0
1
2
1
1
1
3
1
1
0
2
0
2
0
0
0
2
0
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
2
0
4
1
1
1
3
1
0
2
1
0
5
2
2
0
0
0
2
2
1
1
1
0
1
2
2
1
2
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
2
1
2
1
2
1
0
1
3
0
2
1
2
0
1
2
2
2
0
0
0
0
0
0
3
2
1
2
1
0
0
0
0
1
1
0
1
0
2
1
0
1
1
1
0
0
1
0
3
1
3
2
0
0
2
1
1
1
1
0
2
2
0
2
1
1
0
1
2
0
0
1
1
2
2
1
5
3
1
0
1
0
2
1
0
0
0
2
2
2
1
0
2
3
0
0
2
0
0
0
1
0
0
0
0
3
0
0
0
0
1
0
2
0
0
3
1
0
0
4
1
1
1
0
2
2
1
1
1
2
0
3
0
1
0
1
1
3
3
0
2
1
1
0
0
0
0
0
1
0
1
0
0
0
2
0
0
0
2
2
0
0
0
1
0
0
0
3
3
0
0
1
1
0
1
0
1
2
1
4
3
0
1
0
1
1
0
1
0
4
0
1
2
3
2
2
2
0
1
1
1
1
2
0
1
1
0
0
0
0
0
2
1
2
0
0
0
0
0
1
0
4
1
1
1
2
1
1
2
2
0
4
0
0
1
4
0
1
0
0
0
1
1
0
1
3
1
1
1
1
2
0
1
3
3
0
1
1
0
1
0
1
1
1
0
1
1
1
2
0
1
0
0
0
2
2
1
0
0
0
4
0
0
0
0
1
0
1
0
2
2
2
2
1
1
0
2
1
0
1
1
2
0
1
0
0
1
2
0
0
0
1
3
2
2
5
1
2
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
0
0
2
3
1
2
0
1
1
0
0
2
1
0
1
0
3
1
1
3
4
1
0
0
1
2
0
0
2
3
0
1
0
2
3
1
0
1
1
3
3
0
0
0
0
0
0
1
0
1
0
1
1
1
0
2
2
0
0
1
1
0
1
2
0
0
1
2
1
3
1
1
0
1
0
1
2
1
0
0
1
0
1
0
1
2
0
0
1
1
1
0
0
2
1
0
2
0
0
4
2
2
1
0
2
1
2
1
2
1
1
1
0
2
0
0
1
3
1
0
0
1
1
2
0
0
0
0
0
2
2
0
1
1
1
1
1
4
2
1
0
1
1
2
0
1
0
0
1
2
1
1
0
1
3
1
0
0
1
1
0
0
2
1
0
0
0
0
0
1
3
0
2
1
2
0
1
0
0
2
1
0
2
1
0
0
0
0
0
0
0
0
0
0
0
2
1
1
1
0
1
1
0
2
1
0
4
0
0
0
3
0
2
1
3
1
0
0
1
0
1
3
0
4
2
2
0
0
0
0
2
0
2
2
1
2
2
1
0
3
0
1
0
1
3
0
1
0
1
0
2
0
1
0
0
1
0
2
1
0
0
2
1
0
1
0
3
0
0
1
0
1
0
3
1
2
1
0
0
1
1
0
1
2
2
0
0
1
2
0
0
0
0
1
1
1
3
1
1
2
2
0
0
2
1
2
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
1
2
0
0
1
0
1
0
0
1
1
2
0
0
1
0
0
1
1
0
0
1
1
0
1
0
1
2
0
1
1
2
1
0
4
2
1
1
2
2
0
1
3
0
0
1
0
1
0
0
3
0
0
0
3
1
0
1
1
1
1
0
0
1
0
0
2
1
2
2
1
1
1
0
2
1
3
1
0
0
2
0
0
0
0
0
1
0
0
1
2
0
0
1
0
0
2
0
1
1
2
2
0
2
1
0
1
2
1
2
1
0
3
0
3
0
0
0
2
2
2
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
2
1
1
1
1
0
0
0
1
1
0
3
1
1
0
3
0
2
2
1
1
1
2
0
0
0
0
1
1
2
0
0
0
0
1
1
1
2
0
1
3
1
1
0
0
2
0
0
0
0
2
0
0
2
1
0
0
0
0
0
1
0
1
0
1
1
2
2
1
2
0
0
3
2
1
1
0
4
0
0
1
1
2
1
0
1
0
2
0
1
0
2
1
0
3
0
2
1
3
1
0
0
0
2
2
1
1
0
0
0
0
2
0
0
1
2
0
3
0
0
1
3
0
1
1
0
0
0
2
1
2
1
1
0
0
1
1
0
0
1
0
1
1
1
0
0
0
1
1
0
0
2
1
3
1
1
1
1
0
1
1
1
1
1
1
0
1
1
3
0
1
0
0
0
0
0
2
0
1
0
0
0
0
0
2
1
0
0
0
0
1
1
1
1
0
1
1
2
1
1
0
1
1
1
0
1
1
2
2
3
4
1
0
1
0
1
0
0
1
0
0
1
1
2
1
0
0
1
1
1
0
1
2
0
1
2
1
0
1
0
0
1
1
2
1
1
1
0
0
0
0
1
0
0
1
2
2
1
0
0
1
0
0
2
0
1
1
1
1
0
1
0
2
0
0
2
1
2
1
1
1
0
1
1
2
1
0
1
2
1
1
0
1
1
4
2
1
0
1
0
0
1
3
0
1
1
2
1
0
1
0
1
0
0
1
0
2
1
0
0
0
1
0
0
0
2
3
2
0
0
0
1
1
2
0
0
0
1
1
0
0
0
0
2
1
1
3
2
1
0
0
2
0
0
2
2
1
1
0
1
3
0
0
0
1
2
0
1
0
2
0
1
0
1
0
1
3
0
0
1
0
0
2
0
0
2
2
0
0
0
1
2
1
0
0
3
2
1
1
2
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
2
1
1
1
0
0
1
0
0
1
1
1
0
2
1
1
1
1
0
1
1
0
2
0
1
2
0
0
0
1
0
0
1
0
0
1
1
0
0
2
0
1
0
0
2
0
0
3
0
2
2
1
0
1
0
0
0
1
1
2
0
0
2
0
1
0
1
2
0
0
1
0
4
1
4
2
1
1
0
1
2
2
1
1
0
1
0
1
0
1
0
0
2
0
0
0
0
1
0
0
0
2
1
0
0
1
2
2
1
0
0
0
1
0
2
0
0
1
2
0
2
0
2
1
0
1
0
0
0
1
0
3
1
2
0
2
1
0
0
1
0
1
0
1
0
1
1
2
1
0
2
1
2
0
1
0
1
0
1
0
0
0
0
0
1
2
1
0
0
1
1
0
1
2
0
0
0
0
2
1
1
0
0
0
0
0
2
1
1
1
4
0
1
2
1
1
1
0
0
0
0
0
2
1
0
1
0
0
2
2
1
0
0
2
0
2
1
2
1
1
0
1
1
1
0
0
0
0
1
0
0
0
1
1
3
1
1
0
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
2
0
1
3
0
0
0
2
1
1
1
1
1
2
1
1
0
2
0
0
1
0
1
3
0
0
2
1
1
3
0
0
1
1
1
1
0
1
2
0
0
0
0
0
0
0
0
0
1
0
1
1
1
2
3
1
0
0
1
2
1
1
2
1
0
2
0
0
0
3
1
0
0
2
0
0
2
2
0
2
0
1
0
1
1
0
2
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
1
3
2
1
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
1
0
0
0
1
0
0
0
1
0
0
1
1
0
0
1
0
3
0
1
1
0
1
1
2
3
0
1
1
2
1
0
1
2
0
0
0
1
2
2
1
1
0
3
1
0
0
1
1
1
0
0
0
0
1
2
1
1
1
1
0
1
0
0
1
3
1
2
0
1
1
0
0
1
0
0
0
2
0
1
3
2
0
0
0
0
1
2
0
0
1
0
0
1
0
0
0
0
1
0
2
1
0
0
1
1
1
1
2
1
1
2
0
0
1
0
1
1
1
0
1
1
3
0
1
1
1
0
2
0
0
1
0
1
0
1
1
0
0
1
0
2
1
2
0
0
1
2
0
0
1
0
0
0
1
1
0
1
0
0
1
0
2
2
0
0
2
0
1
1
0
1
1
1
0
2
0
1
0
0
4
1
1
0
1
1
1
0
0
1
1
0
0
1
2
0
0
1
1
0
0
0
0
0
0
0
2
1
0
2
0
1
0
3
0
0
0
1
1
0
0
1
0
1
0
2
1
0
0
1
0
2
0
0
0
1
4
1
2
0
3
1
0
1
1
0
0
0
1
0
0
1
2
1
1
1
2
2
0
1
1
0
2
0
1
1
0
0
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
1
0
0
1
0
0
0
2
0
0
1
1
0
0
1
1
0
1
0
2
1
0
1
0
1
1
1
2
0
2
0
6
0
2
0
1
0
0
0
3
1
1
0
0
1
2
0
1
0
0
0
0
1
1
0
1
0
1
0
0
0
0
1
1
1
0
1
0
1
0
2
0
0
2
0
0
0
1
0
1
1
1
0
0
3
0
1
0
1
0
0
0
1
1
0
2
0
0
1
0
1
0
1
0
2
1
2
2
4
1
0
2
0
0
0
1
0
0
0
1
0
1
1
0
1
0
1
1
0
1
1
2
1
0
2
1
0
0
1
0
0
1
1
1
2
1
0
2
0
0
0
2
0
0
2
1
0
1
0
0
0
0
1
0
2
2
0
0
1
1
2
2
1
1
1
0
2
0
0
1
0
0
0
2
2
1
1
2
1
0
0
1
0
0
1
0
1
0
0
0
1
0
1
1
0
3
1
0
0
0
1
1
1
0
1
1
0
0
0
2
0
0
1
0
1
0
0
0
1
0
2
1
1
0
0
0
1
0
2
0
1
0
1
2
0
1
3
0
0
0
1
0
0
1
0
0
2
1
0
0
0
1
0
0
3
1
0
0
1
2
0
0
1
1
1
0
0
1
1
0
0
1
1
0
4
0
0
0
0
2
1
0
0
2
0
1
1
0
1
0
0
1
2
0
1
0
2
1
3
0
0
0
0
0
0
0
1
0
3
0
1
0
0
1
0
1
1
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
2
0
1
1
1
1
0
1
0
1
0
2
1
1
0
2
0
0
0
1
0
1
1
0
2
0
2
1
0
0
0
1
0
1
3
1
0
0
1
0
0
0
1
1
0
3
0
0
1
1
1
1
1
3
2
1
1
1
0
1
0
0
1
0
1
0
0
0
0
0
0
1
1
0
1
1
0
1
0
2
0
0
1
0
0
1
0
2
1
0
0
0
0
0
0
1
0
0
1
1
0
0
0
2
1
1
0
1
0
0
2
0
0
1
2
1
2
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
1
1
0
1
3
0
0
0
2
0
0
0
2
0
0
0
0
0
0
1
0
1
1
0
0
1
0
2
1
2
0
2
1
0
1
0
1
1
1
0
0
0
2
0
0
0
0
1
1
0
0
2
1
0
1
2
0
0
0
0
0
1
2
0
0
1
0
0
0
1
3
1
0
0
0
0
0
1
0
3
1
1
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
2
1
0
2
0
1
1
0
0
0
0
0
1
2
0
0
1
1
1
0
1
1
0
1
1
3
1
0
1
1
0
1
2
1
2
0
2
0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
2
1
1
3
1
0
1
0
0
0
1
1
0
0
0
0
0
1
1
2
0
1
1
0
0
1
0
0
1
1
0
1
0
2
0
3
0
0
0
2
2
0
0
1
2
2
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
3
0
1
3
0
2
0
3
0
1
0
0
0
1
1
1
0
0
1
0
0
1
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
1
0
0
4
0
0
2
0
0
1
2
2
0
2
1
1
1
0
0
0
0
2
0
0
0
0
1
0
0
0
0
0
1
0
2
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
2
1
0
0
0
2
0
0
2
0
0
1
1
3
2
0
0
1
1
1
2
1
1
1
0
0
2
1
0
2
0
0
0
0
1
3
0
1
1
0
1
0
1
2
1
0
0
0
0
1
0
2
0
1
0
1
0
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
0
1
1
0
0
0
2
1
0
2
0
0
1
1
0
0
1
1
1
1
1
2
0
2
0
0
0
0
1
1
0
1
0
0
1
0
1
2
1
0
1
2
0
1
1
1
2
2
2
0
0
1
1
0
1
1
1
0
0
1
0
1
1
0
0
0
0
0
0
1
0
1
0
1
1
0
1
0
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
0
0
1
2
1
1
0
2
1
1
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
1
2
0
1
0
0
1
2
0
0
1
1
1
1
0
1
1
0
1
0
0
0
0
2
1
1
0
0
0
0
0
1
1
2
1
0
0
0
1
2
0
1
1
0
1
0
0
0
2
0
1
0
2
2
1
0
1
0
0
1
0
0
0
1
2
0
0
1
0
2
1
1
0
0
2
0
0
0
1
0
1
1
0
2
1
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
0
2
1
0
0
0
0
1
2
0
0
0
0
0
2
0
1
2
1
1
0
0
2
1
0
0
0
0
1
1
0
0
3
0
1
2
1
1
0
0
0
1
0
2
0
0
2
0
0
0
1
1
1
0
0
0
1
1
0
0
0
0
1
2
1
0
1
1
0
1
1
0
0
0
1
0
1
0
1
0
0
1
0
0
0
0
3
2
1
0
1
1
0
0
2
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
3
0
1
1
0
0
0
1
2
0
0
0
0
1
0
2
1
1
1
0
0
0
0
0
0
1
1
0
0
1
0
1
2
0
0
0
1
2
2
1
0
1
0
0
0
1
0
0
2
1
1
1
2
1
1
0
0
0
1
0
0
1
1
2
1
0
0
1
2
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
1
2
0
2
1
0
1
0
0
0
1
1
1
0
0
0
0
2
0
0
0
0
1
2
0
0
1
0
0
1
0
1
1
1
0
0
1
2
1
0
1
1
0
1
1
0
0
0
0
0
0
1
1
2
0
0
0
2
0
0
0
0
0
2
0
0
0
2
0
0
2
0
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
2
0
0
1
1
0
0
2
0
0
1
3
1
1
0
0
0
2
0
2
2
0
0
1
0
0
0
0
1
0
1
0
0
1
2
3
1
0
1
1
0
0
0
0
0
1
0
0
0
1
4
1
1
0
0
0
0
1
1
0
0
0
1
0
2
0
0
0
0
0
0
0
0
3
0
2
0
0
0
1
0
0
0
0
1
0
0
0
1
0
1
2
0
1
0
1
1
1
0
0
0
0
1
2
0
0
1
1
0
2
2
0
0
0
1
0
0
0
1
0
1
1
0
0
0
1
1
0
0
1
0
0
1
0
1
0
2
0
1
0
0
0
0
0
0
1
0
0
0
1
0
1
2
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
0
0
1
2
0
0
1
0
0
0
0
1
1
2
0
1
0
2
0
0
0
0
1
1
1
1
0
1
0
0
2
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
2
0
2
1
0
0
1
1
1
0
2
1
1
0
0
1
2
0
2
0
2
0
1
0
0
0
1
2
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
1
1
0
0
0
1
1
2
0
0
1
1
0
0
0
1
1
1
0
0
0
0
0
1
1
1
1
0
2
2
0
0
0
2
0
0
0
1
0
0
0
1
0
0
0
0
2
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
2
1
0
1
0
0
0
3
1
0
1
2
2
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
2
1
0
0
1
1
1
1
0
0
0
0
0
1
1
0
1
0
1
0
0
1
2
1
0
1
1
1
0
0
1
0
1
0
1
0
0
0
0
0
1
0
2
0
0
0
0
2
0
1
1
0
0
1
0
1
0
1
0
1
0
0
0
0
1
1
1
2
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
3
0
0
1
1
1
0
2
2
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
1
0
1
0
0
1
0
0
0
0
1
2
0
1
1
0
0
2
0
0
0
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
2
3
0
0
0
0
0
0
1
0
2
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
2
0
0
0
0
0
0
1
0
1
1
0
2
0
2
0
2
0
0
0
3
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
3
1
1
1
0
0
1
1
0
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
1
2
1
0
0
0
1
0
0
0
0
1
1
3
1
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
1
2
1
0
1
0
0
1
1
1
0
0
1
0
0
0
1
1
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
1
1
0
0
2
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
1
1
1
0
0
0
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
0
0
1
0
0
0
1
0
1
2
0
1
2
0
0
0
0
0
0
1
1
0
2
0
0
2
0
0
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
2
0
0
1
0
1
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
2
0
1
1
1
0
2
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
1
2
2
2
0
0
2
0
1
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
2
2
0
0
1
0
1
0
0
1
1
2
0
1
0
1
0
0
0
1
0
0
2
0
0
0
0
0
2
0
0
1
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
1
0
2
0
0
0
0
1
0
1
1
2
0
3
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
1
1
0
0
1
0
1
1
0
0
0
0
0
0
2
1
0
1
1
0
1
1
1
2
0
0
1
1
0
1
1
1
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
0
0
0
2
0
0
0
2
0
1
0
0
0
1
1
0
0
1
0
1
0
1
0
0
0
0
1
1
0
0
1
0
1
2
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
1
2
1
0
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
1
2
1
0
3
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
2
0
0
1
0
0
0
0
0
0
2
1
0
0
1
0
1
0
0
1
0
0
1
0
1
0
0
0
0
1
0
1
1
1
0
3
0
0
2
0
1
0
0
0
0
0
2
0
1
0
1
0
0
0
0
0
0
0
0
0
2
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
1
1
2
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
1
0
0
0
1
2
0
2
0
0
0
1
0
0
1
0
0
0
0
0
1
0
1
0
0
0
2
0
2
4
1
0
1
1
1
0
0
0
1
0
0
0
0
1
1
0
0
1
0
1
0
1
0
0
0
0
0
2
1
0
0
1
0
0
0
1
0
1
0
0
0
3
0
1
0
0
2
0
0
0
0
0
0
0
1
2
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
2
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
2
3
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
2
0
0
1
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
1
2
1
1
0
2
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
2
0
0
0
3
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
1
0
0
0
1
1
0
0
0
1
0
1
2
0
1
0
1
1
0
0
0
0
0
1
0
0
0
0
0
2
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
0
0
0
0
3
0
0
0
1
0
0
1
0
1
0
1
0
1
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
1
1
1
0
0
0
0
1
2
0
0
0
1
1
0
0
0
1
0
0
0
0
2
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
1
1
0
0
0
1
1
0
1
0
1
0
0
1
0
0
1
0
0
0
0
1
0
2
0
0
0
1
0
1
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
0
1
1
2
1
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
1
2
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
2
1
2
0
0
0
1
1
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
1
2
0
0
1
1
1
1
0
0
0
0
0
1
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
1
0
1
1
0
0
0
0
2
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
2
0
0
2
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
2
1
0
1
1
0
0
0
0
0
2
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
1
1
1
0
0
0
0
1
0
1
0
0
2
0
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
1
1
2
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
2
0
1
2
2
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
1
0
0
1
1
0
1
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
1
1
0
0
0
1
1
0
1
1
0
0
1
0
0
0
0
0
0
3
0
0
0
0
0
0
1
3
0
2
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
1
0
0
2
0
0
1
0
0
2
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
3
0
0
1
1
1
0
1
0
0
1
0
0
0
1
1
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
1
2
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
2
0
0
0
2
0
0
1
0
0
0
0
0
0
0
1
1
1
0
1
0
0
0
0
1
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
1
2
1
1
0
0
1
2
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
2
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
1
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
2
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
1
2
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
1
1
0
2
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
2
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
2
1
0
1
0
0
1
0
0
1
0
1
0
0
0
2
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
0
1
1
0
0
2
0
1
0
0
0
0
0
1
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
1
1
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
2
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
3
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
3
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
0
0
1
0
2
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
1
1
1
0
1
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
2
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0