CodeForces 462B Appleman and Card Game（贪心）

题目链接:http://codeforces.com/problemset/problem/462/B

Appleman has n cards. Each card has an uppercase letter written on it. Toastman must choose k cards from Appleman's cards. Then Appleman should give Toastman some coins depending on the chosen cards. Formally, for each Toastman's card i you should calculate how much Toastman's cards have the letter equal to letter on ith, then sum up all these quantities, such a number of coins Appleman should give to Toastman.

Given the description of Appleman's cards. What is the maximum number of coins Toastman can get?

Input

The first line contains two integers n and k (1 ≤ k ≤ n ≤ 105). The next line contains n uppercase letters without spaces — the i-th letter describes the i-th card of the Appleman.

Output

Print a single integer – the answer to the problem.

Sample test(s)

input

15 10
DZFDFZDFDDDDDDF

output

82

input

6 4
YJSNPI

output

4

Note

In the first test example Toastman can choose nine cards with letter D and one additional card with any letter. For each card with D he will get 9 coins and for the additional card he will get 1 coin.

题意：

共同拥有N张牌，从中选出K张，得分为每次选出牌的面值与选该牌的数量。求最大得分。

PS:

贪心。从牌数多的面值開始选。

代码例如以下：

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
typedef __int64 LL;
int main()
{
    LL n, k;
    LL a[47];
    char s[100017];
    while(~scanf("%I64d%I64d",&n,&k))
    {
        memset(a,0,sizeof(a));
        scanf("%s",s);
        for(int i = 0; i < n; i++)
        {
            a[s[i]-'A']++;
        }
        sort(a,a+26);
        LL ans = 0;
        for(int i = 25; i >= 0; i--)
        {
            if(k >= a[i])
            {
                ans+=a[i]*a[i];
                k -= a[i];
                if(k == 0)
                    break;
            }
            else
            {
                ans+=k*k;
                break;
            }
        }
        printf("%I64d\n",ans);
    }
    return 0;
}