Given a sequence of n integers called W and an integer m. For each i (1 <= i <= n), you can choose some elements Wk (1 <= k < i), and change them to zero to make . So what's the minimum number of chosen elements to meet the requirements above?
The first line contains an integer Q --- the number of test cases.
For each test case:
The first line contains two integers n and m --- n represents the number of elemens in sequence W and m is as described above.
The second line contains n integers, which means the sequence W.
1 <= Q <= 15
1 <= n <= 2*10^5
1 <= m <= 10^9
For each i, 1 <= Wi <= m
For each test case, you should output n integers in one line: i-th integer means the minimum number of chosen elements Wk (1 <= k < i), and change them to zero to make .
2 7 15 1 2 3 4 5 6 7 5 100 80 40 40 40 60
0 0 0 0 0 2 3 0 1 1 2 3