CF651B.Beautiful Paintings

普及/提高-

通过率:0%

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题目描述

There are nn pictures delivered for the new exhibition. The ii -th painting has beauty aia_{i} . 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 aa in any order. What is the maximum possible number of indices ii ( 1<=i<=n11<=i<=n-1 ), such that a_{i+1}>a_{i} .

输入格式

The first line of the input contains integer nn ( 1<=n<=10001<=n<=1000 ) — the number of painting.

The second line contains the sequence a1,a2,...,ana_{1},a_{2},...,a_{n} ( 1<=ai<=10001<=a_{i}<=1000 ), where aia_{i} means the beauty of the ii -th painting.

输出格式

Print one integer — the maximum possible number of neighbouring pairs, such that a_{i+1}>a_{i} , after the optimal rearrangement.

输入输出样例

  • 输入#1

    5
    20 30 10 50 40
    

    输出#1

    4
    
  • 输入#2

    4
    200 100 100 200
    

    输出#2

    2
    

说明/提示

In the first sample, the optimal order is: 10,20,30,40,5010,20,30,40,50 .

In the second sample, the optimal order is: 100,200,100,200100,200,100,200 .

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