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:

11
8
7
0
1001001001
3
6
6
11
7
9
0
11
5
6
7
14
9
0
10
8
7
3
6
0
8
2
5
4
9
10
4
6
1
8
2
3
8
1
8
12
11
15
4
12
13
16
9
4
4
7
3
1
7
9
5
5
0
0
11
10
5
6
7
6
4
9
1
4
5
12
0
3
10
4
3
7
8
3
7
6
3
7
9
15
3
6
8
9
8
6
1
2
6
2
13
12
5
0
0
4
7
4
9
0
6
9
9
1001001001
3
10
4
8
12
9
3
8
6
5
2
5
12
7
1
6
8
8
3
6
12...

result:

wrong answer 2nd numbers differ - expected: '6', found: '8'