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
4
4
12
10
0
3
7
7
10
0
6
2
0
5
0
4
3
0
0
0
0
4
5
6
2
3
4
9
2
0
4
3
5
3
0
5
0
16
6
2
6
2
5
3
9
4
8
0
0
8
0
4
5
5
4
12
11
2
0
9
4
4
6
6
5
0
4
0
6
6
2
10
0
10
5
0
2
0
0
10
17
5
2
6
13
6
7
4
0
0
0
7
7
2
6
0
0
13
4
2
9
4
3
13
7
9
0
3
14
0
5
0
5
14
8
5
4
0
0
2
2
9
6
17
6
4
11
0
0
8
4
10
0
5
9
4
2
0
2
...

result:

wrong answer 4th numbers differ - expected: '6', found: '4'