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
13
9
0
3
6
7
10
0
6
2
0
5
0
4
3
0
0
0
0
4
4
6
3
5
4
9
2
0
4
6
5
3
0
5
0
15
6
2
6
2
5
3
10
4
7
0
0
9
0
3
4
6
4
12
12
2
0
12
4
4
6
6
4
0
5
0
6
6
2
11
0
10
4
0
2
0
0
11
17
4
2
6
14
8
7
4
0
0
0
7
8
3
6
0
0
12
4
2
9
4
3
12
7
8
0
3
12
0
5
0
5
14
9
5
4
0
0
3
2
9
6
16
6
4
12
0
0
8
5
11
0
5
8
3
2
0
2...

result:

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