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
3
4
12
9
0
3
7
4
8
0
6
2
0
3
0
4
3
0
0
0
0
4
3
5
3
3
3
5
2
0
4
4
6
4
0
3
0
12
5
2
4
1
5
4
8
4
7
0
0
8
0
4
5
5
3
9
8
2
0
11
4
4
6
5
4
0
4
0
5
5
2
9
0
8
4
0
2
0
0
10
15
3
2
6
13
6
7
3
0
0
0
7
6
1
3
0
0
11
4
2
9
3
2
10
5
9
0
1
12
0
6
0
5
10
9
3
4
0
0
1
2
7
6
13
6
4
10
0
0
7
5
10
0
5
7
2
2
0
2
8
0
2...

result:

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