2015 多校联赛 ——HDU5350（huffman）

Problem Description

MZL is a mysterious mathematician, and he proposed a mysterious function at his young age.
Stilwell is very confused about this function, and he need your help.
First of all, given  n  positive integers  Ai  and  Ai≥Ai+1 .
Then, generate  n  positive integers  Bi

Bi=∑j=inAj

Define  f(i,j)  for  i,j∈Z

f(i,j)=⎧⎩⎨⎪⎪⎪⎪⎪⎪0min(f(i−1,j+1),f(i,⌈j2⌉)+Bi)1011037(i,j)=(1,1)i,j∈[1,n], (i,j)≠(1,1)otherwise

Find  f(n,1) .

 

Input

The first line of the input contains a single number  T , the number of test cases.
For each test case, the first line contains a positive integer  n , and the next line contains  n  positive integers  Ai .
T≤100 ,  1≤n≤105 ,  ∑n≤106 ,  1≤Ai≤104 .

 

Output

For each test case, output  f(n,1)  in a line.

 

Sample Input

   
   
   
   

    
    
    
    3
3
1 1 1
5
28 26 25 24 1
10
996 901 413 331 259 241 226 209 139 49
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    5
233
11037
   
   
   
   

//完全没看出来是个huffman - -！

#include <iostream>
#include <cstdio>
#include<algorithm>
#include<cstring>
#include<functional>
#include<queue>
typedef long long ll;
using namespace std;


int main()
{
    int T;
    int n,a;
    priority_queue<ll, vector<ll>, greater<ll> >q;
    scanf("%d",&T);
    while(T--)
    {
        scanf("%d",&n);
        while(!q.empty())
        {
            q.pop();
        }
        for(int i=1; i<=n; i++)
        {
            scanf("%d",&a);
            q.push(a);
        }
        ll sum = 0;
        while(!q.empty())
        {
            ll x = q.top();
            q.pop();
            if(q.empty())
            {
                continue;
            }
            ll y = q.top();
            q.pop();
            ll tmp= x + y;
            sum+=tmp;
            q.push(tmp);
        }
        printf("%I64d\n",sum);
    }
    return 0;
}