input:

100 100
4 1 5 1 2 1 7 5 3 7 2 3 6 6 5 3 2 2 4 1 6 5 6 2 2 2 7 6 1 3 6 3 5 6 7 6 1 2 3 3 4 2 1 1 5 4 4 3 6 7 1 1 6 1 5 6 2 3 7 4 2 4 6 7 7 3 5 3 7 2 3 3 5 1 4 7 1 2 2 5 2 2 4 3 4 7 2 7 7 3 7 3 6 6 5 4 5 4 7 6
93 52 12 70 25 36 18 37 27 99 68 40 84 3 76 57 60 19 33 41 92 87 58 13 15 43 28 63 64 59 31 ...

output:

1
0
13
71
1
1
3
7
0
0
2
1
3
20
12
6
61
24
1
0
0
2
3
19
0
0
6
2
0
0
4
1
135
0
19
1
1
29
14
39
1
0
1
7
7
0
12
3
0
1
0
1
1
5
0
28
14
19
2
1
0
0
6
5
0
0
2
7
5
1
2
2
0
1
11
1
0
1
0
10
0
0
5
1
33
1
17
2
1
22
20
1
2
0
0
16
0
1
1
15

result:

wrong answer Output contains longer sequence [length = 101], but answer contains 100 elements