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

result:

wrong answer 2nd numbers differ - expected: '6', found: '7'