Input 
1 1 2
0
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
0000000000000
2413423432432
Output 
YES
NO
Input 
4 2 5
01
23
45
67
0 1
0 -1
0 1
0 -1
0 1
0 -1
0 1
0 -1
0 1
0 -1
0000000000
010101011101
32232232322
44343222342444324
6767
Output 
YES
YES
YES
NO
YES