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:

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

result:

wrong answer 1st numbers differ - expected: '11', found: '12'