input:

17 17
6 10
1 9
14 6
12 13
5 4
15 17
14 15
6 5
10 6
10 11
2 9
9 6
17 15
9 15
4 8
1 4
13 15
13 19
11 10
12 10
10 5
2 8
12 11
8 3
1 7
10 9
8 5
1 5
9 4
8 7
12 10
6 8
13 1
5 8
11 5
10 8
7 7
16 14
9 5
8 1
4 16
10 8
16 15
15 1
13 5
9 3
4 4
9 7
7 2
5 4
5 11
9 14
5 13
1 5
4 5
4 1
4 4
1 1
5 3
3 5
4 1
3 2
5 1
...

output:

4
2
6
2
1
2
7
5
2
6
2
7
9
10
5
10
3
7
7
7
9
10
4
8
6
6
2
2
2
5
5
5
4
3
2
3
4
1
7
6
7
2
6
4
1
2
1
3
5
7
3
6
3
4
6
5
3
8
1
5
3
2
1
5
7
5
6
5
6
7
10
9
3
2
6
7
4
5
6
5
5
1
4
2
3
1
9
7
3
9
4
5
7
4
6
6
1
5
7
4
6
4
5
3
0
7
7
6
9
2
6
2
3
4
8
5
1
2
2
6
6
7
8
7
2
5
1
3
7
2
1
9
8
5
6
3
2
3
1
6
5
3
8
6
1
8
3
7
...

result:

wrong answer 1st lines differ - expected: '8', found: '4'