input:

3 10
^>^<^^^^>^
<v^v^^v^v>
<>vvvvvvvv
10 1
v
^
<
<
v
<
v
>
<
<
5 4
<^^^
<vvv
<<^>
vv^v
<vvv
2 9
^^^^^^^^^
vvvvvvvvv
9 10
^>^^<^<^<>
<^<<><<<<>
v^v^^<>^<^
^<vvv<><<>
<v>>><^v^>
^^^^>^^<<v
v^v>v^v^<>
v^vvv>v^<^
vvvvv><>v>
8 8
^^^^<^<^
<>^<v>v^
<v<v>^v>
v>v<vv<>
^<^>>v<>
<v^v^<<>
^v^^>v<>
<vv<vv<>
2 2
...

output:

5
0
1
4
6
7
0
3
5
6
8
0
3
1
0
3
0
3
1
0
0
0
0
2
2
5
2
5
2
7
2
0
4
5
4
2
0
3
0
11
4
1
4
1
5
2
6
4
5
0
0
7
0
2
4
4
3
7
7
2
0
6
2
4
4
4
4
0
4
0
4
3
2
10
0
5
3
0
2
0
0
6
13
2
1
5
11
5
4
3
0
0
0
4
6
3
6
0
0
9
4
2
3
3
2
8
6
6
0
2
7
0
4
0
3
12
8
5
4
0
0
3
2
7
2
13
3
3
9
0
0
7
3
7
0
3
4
3
2
0
2
4
0
3
2
5
4
...

result:

wrong answer 3rd numbers differ - expected: '4', found: '1'