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:

4
0
1
4
9
8
0
3
7
7
7
0
5
2
0
3
0
3
2
0
0
0
0
4
3
5
2
5
3
8
2
0
4
5
6
4
0
3
0
13
4
2
5
1
5
4
9
4
7
0
0
8
0
3
5
5
3
9
8
2
0
8
3
4
5
6
4
0
5
0
6
3
2
10
0
5
4
0
2
0
0
9
14
3
2
6
12
5
6
4
0
0
0
5
7
3
6
0
0
11
4
2
7
4
2
9
7
8
0
3
8
0
6
0
3
11
9
5
4
0
0
3
2
7
5
13
5
4
8
0
0
8
5
8
0
4
6
4
2
0
2
7
0
4
3
9
4...

result:

wrong answer 1st numbers differ - expected: '5', found: '4'