input:

10
2 2 1 2 2 2 2 1 2 2
10
1 0 2
1 0 9
1 0 5
1 2 4
1 0 9
1 2 7
1 3 7
1 7 9
1 1 3
1 0 2

output:

3
3
3
3
3
1
1
3
2
3

result:

wrong answer 2nd lines differ - expected: '4', found: '3'

input:

4000
1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2...

output:

11
10
11
11
10
11
10
11
11
9
9
5
9
9
7
7
8
10
11
9
11
8
9
10
11
9
9
9
10
7
8
10
10
8
8
10
7
9
9
8
5
9
8
9
9
6
10
4
8
8
9
8
8
10
9
7
8
6
5
6
7
6
6
8
7
9
8
6
9
8
8
8
7
6
3
6
6
5
8
7
7
5
8
8
9
8
7
8
5
8
8
8
8
5
8
6
5
6
7
9
6
7
8
5
3
4
8
7
6
9
7
5
5
7
7
8
7
7
7
7
4
7
7
8
5
7
8
7
5
6
8
7
7
6
6
7
7
7
8
6
...

result:

wrong answer 2nd lines differ - expected: '12', found: '10'

input:

100000
2 10 6 3 5 4 2 6 9 3 8 3 9 6 9 8 8 9 4 6 5 10 7 1 2 5 5 2 7 3 5 10 5 6 7 5 9 10 6 10 7 3 2 1 7 8 4 4 3 10 1 6 9 9 6 9 6 1 6 4 8 5 5 6 8 3 3 7 6 6 3 5 5 9 5 5 7 10 7 3 10 1 4 2 3 6 9 2 7 2 8 10 4 5 2 6 7 1 8 2 8 3 3 10 9 8 6 6 9 6 4 5 8 4 10 10 4 1 6 4 4 3 9 4 7 7 2 8 8 7 10 6 8 2 1 4 2 2 5 2 ...

output:

Unauthorized output

result: