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
6
13
10
0
2
7
6
9
0
4
0
0
5
0
4
3
0
0
0
0
4
5
6
3
4
3
9
2
0
4
5
6
0
0
5
0
16
4
2
3
2
4
4
7
3
8
0
0
10
0
4
5
5
4
11
12
2
0
12
3
1
6
5
4
0
5
0
6
6
2
11
0
11
5
0
2
0
0
11
17
4
1
5
14
6
7
4
0
0
0
7
6
2
6
0
0
13
6
2
9
4
4
13
7
9
0
2
14
0
4
0
4
14
8
4
4
0
0
3
2
9
6
17
4
2
12
0
0
8
3
11
0
5
9
3
2
0
1...

result:

wrong answer 8th numbers differ - expected: '3', found: '2'