input:

10000
15
010111111011011
10
1000101111
10
0011111101
1
0
3
110
4
1000
8
10000111
20
00000101000100001110
13
1101110110110
13
0111100011010
17
00001001111110101
1
0
20
10001010011000111100
11
00100110101
11
10110101000
15
001011110011000
16
1110111110000111
15
011110110110010
1
0
20
10110001101100010...

output:

13
6
7
0
2
1
4
6
11
7
10
0
9
6
6
7
11
11
0
9
9
7
3
6
0
6
2
5
4
8
10
4
6
1
8
2
1
8
1
8
12
10
13
5
11
14
16
7
3
4
5
1
1
7
9
7
3
0
0
12
8
5
7
7
6
4
10
1
4
5
13
0
2
11
3
3
8
10
3
7
4
3
12
10
15
2
6
6
10
10
6
1
2
4
2
16
11
7
0
0
4
8
4
7
0
4
8
9
3
3
10
3
7
11
8
1
7
6
5
2
4
9
7
1
5
9
9
3
5
11
6
12
8
8
9
16...

result:

wrong answer 1st numbers differ - expected: '11', found: '13'