codeforces 735 B Urbanization

题目描述：

Local authorities have heard a lot about combinatorial abilities of Ostap Bender so they decided to ask his help in the question of urbanization. There are
n people who plan to move to the cities. The wealth of the
i of them is equal to
ai. Authorities plan to build two cities, first for
n1 people and second for
n2 people. Of course, each of
n candidates can settle in only one of the cities. Thus, first some subset of candidates of size
n1 settle in the first city and then some subset of size
n2 is chosen among the remaining candidates and the move to the second city. All other candidates receive an official refuse and go back home.

To make the statistic of local region look better in the eyes of their bosses, local authorities decided to pick subsets of candidates in such a way that
the sum of arithmetic mean of wealth of people in each of the cities is as large as possible. Arithmetic mean of wealth in one city is the sum of wealth
ai among all its residents divided by the number of them (n1
or n2 depending on the city). The division should be done in real numbers without any rounding.

Please, help authorities find the optimal way to pick residents for two cities.

Input

The first line of the input contains three integers n,
n1 and
n2 (1 ≤ n, n1, n2 ≤ 100 000,
n1 + n2 ≤ n) — the number of candidates who want to move to the cities,
the planned number of residents of the first city and the planned number of residents of the second city.

The second line contains n integers
a1, a2, ..., an
(1 ≤ ai ≤ 100 000), the
i-th of them is equal to the wealth of the
i-th candidate.

Output

Print one real value — the maximum possible sum of arithmetic means of wealth of cities' residents. You answer will be considered correct if its absolute or relative error does not exceed
10 - 6.

Namely: let's assume that your answer is a, and the answer of the jury is
b. The checker program will consider your answer correct, if


.

Example

Input

2 1 1
1 5

Output

6.00000000

Input

4 2 1
1 4 2 3

Output

6.50000000

Note

In the first sample, one of the optimal solutions is to move candidate
1 to the first city and candidate 2 to the second.

In the second sample, the optimal solution is to pick candidates
3 and 4 for the first city, and candidate
2 for the second one. Thus we obtain (a3 + a4) / 2 + a2 = (3 + 2) / 2 + 4 = 6.5

题目分析：排2次序就ok啦

AC代码：

#include<iostream>
#include<cstdio>
#include<cmath>
#include<algorithm>
using namespace std;
int n,n1,n2;
int v[200005];
int main()
{
while(~scanf("%d%d%d",&n,&n1,&n2))
{
if(n1>n2)
{
int t=n1;
n1=n2;
n2=t;
}
for(int i=0;i<n;i++)
scanf("%d",&v[i]);
sort(v,v+n);
double sum1=0,sum2=0;
double p;
for(int i=n-1;i>=n-n1;i--)
sum1+=v[i];
for(int i=n-n1-1;i>=n-n1-n2;i--)
sum2+=v[i];
p=sum1/n1+sum2/n2;
//cout<<p<<endl;
printf("%lf\n",p);
}
return 0;
}