There are n pictures delivered for the new exhibition. The i-th painting has beauty ai. We know that a visitor becomes happy every time he passes from a painting to a more beautiful one.
We are allowed to arranged pictures in any order. What is the maximum possible number of times the visitor may become happy while passing all pictures from first to last? In other words, we are allowed to rearrange elements of a in any order. What is the maximum possible number of indices i (1 ≤ i ≤ n - 1), such that ai + 1 > ai.
5 20 30 10 50 40 4 200 100 100 200
4 2
In the first sample, the optimal order is: 10, 20, 30, 40, 50. In the second sample, the optimal order is: 100, 200, 100, 200.
CF