多校连萌15-8-12#A

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <queue>
#include <cmath>
#include <cstring>
#include <stack>
#include <set>
#include <map>
#include <vector>

using namespace std;
#define INF 0x2fffffff
#define LL long long
#define MAX(a,b) ((a)>(b))?

(a):(b)
#define MIN(a,b) ((a)<(b))?(a):(b)
double a[30];
double b[30];
double c[30];
double dp[1 << 21];
double d[30][30];
int n,m;
double ans;

void  fun(int status,int cur,int qu){
    if(qu == m){
        ans = max(ans,dp[status]);
        return;
    }
    if(cur > n){
        return ;
    }
    double c =  0;
    for(int i = 0;i < cur;i++){
        if(status&(1<<i)){
            c += d[cur][i];
        }
    }
    dp[status|(1<<cur)] = dp[status] + c;
    fun(status|(1<<cur),cur+1,qu+1);
    fun(status,cur+1,qu);
}
int main(){
    while(cin >> n >> m){
        for(int i = 0;i < n;i++){
            cin >> a[i] >> b[i]  >> c[i];
        }
        memset(d,0,sizeof(d));
        for(int i = 0;i < n;i++){
            for(int j = 0;j < n;j++){
                d[i][j] = (a[i]-a[j])*(a[i]-a[j]) + (b[i]-b[j])*(b[i]-b[j]) + (c[i]-c[j])*(c[i]-c[j]);
            }
        }
        memset(dp,0,sizeof(dp));
        ans = 0;
        fun(0,0,0);
        printf("%.6f\n",ans);
    }
    return 0;
}

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