Problem Description

DZY loves playing balls.



He has n balls
in a big box. On each ball there is an integer written.



One day he decides to pick two balls from the box. First he randomly picks a ball from the box, and names it A.
Next, without putting A back
into the box, he randomly picks another ball from the box, and names it B.



If the number written on A is
strictly greater than the number on B,
he will feel happy.



Now you are given the numbers on each ball. Please calculate the probability that he feels happy.

 

Input

First line contains t denoting
the number of testcases.



t testcases
follow. In each testcase, first line contains n,
second line contains n space-separated
positive integers ai,
denoting the numbers on the balls.



(1≤t≤300,2≤n≤300,1≤ai≤300)

 

Output

For each testcase, output a real number with 6 decimal places. 

 

Sample Input

2

3

1 2 3

3

100 100 100

 

Sample Output

0.500000

0.000000

 代码：

#include<stdio.h>

int main()

{

	int t;

	scanf("%d",&t);

	while(t--)

	{

		int n;

		scanf("%d",&n);

		int i,j,a[9999];

		for(i=1;i<=n;i++)

		{

			scanf("%d",&a[i]);

		}

		double sum;

		sum=n*(n-1);

		double ans=0;

		for(i=1;i<=n;i++)

		{

			for(j=1;j<=n;j++)

			{

				if(a[j]>a[i])

				ans++;

			}

		}

		double p;

		p=ans/sum;

		printf("%.6lf\n",p);

	}

	return 0;

}

思路：签到水题。