HDU 3280 Equal Sum Partitions（二分查找）

Posted 2020-09-19 clnchanpin

Equal Sum Partitions

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 551    Accepted Submission(s): 409

Problem Description

An equal sum partition of a sequence of numbers is a grouping of the numbers (in the same order as the original sequence) in such a way that each group has the same sum. For example, the sequence:
2 5 1 3 3 7
may be grouped as:
(2 5) (1 3 3) (7)
to yield an equal sum of 7.

Note: The partition that puts all the numbers in a single group is an equal sum partition with the sum equal to the sum of all the numbers in the sequence.

For this problem, you will write a program that takes as input a sequence of positive integers and returns the smallest sum for an equal sum partition of the sequence.

 

Input

The first line of input contains a single integer P, (1 ≤ P ≤ 1000), which is the number of data sets that follow. The first line of each data set contains the data set number, followed by a space, followed by a decimal integer M, (1 ≤ M ≤ 10000), giving the total number of integers in the sequence. The remaining line(s) in the dataset consist of the values, 10 per line, separated by a single space. The last line in the dataset may contain less than 10 values.

 

Output

For each data set, generate one line of output with the following values: The data set number as a decimal integer, a space, and the smallest sum for an equal sum partition of the sequence.

 

Sample Input

3
1 6
2 5 1 3 3 7
2 6
1 2 3 4 5 6
3 20
1 1 2 1 1 2 1 1 2 1
1 2 1 1 2 1 1 2 1 1

 

Sample Output

1 7
2 21
3 2

 

Source

2009 Greater New York Regional

 

Recommend

/*
 题意:n个数，分成若干个集合，要求每一个集合的数和同样，求集合最小值
 思路：枚举当前集合推断是否满足条件

*/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
using namespace std;

typedef __int64 ll;

#define N 10005
#define INF 0x3f3f3f3f

int sum[N];
int n;

bool fdd(ll temp)
{
     int hh=0;
     int pos=0;
     while(pos!=n)
     {
         hh+=temp;
         pos=upper_bound(sum+1,sum+n+1,hh)-(sum+1);
         if(sum[pos]!=hh)
         {
            return false;
         }
     }
     return true;
}

int main()
{
    int i,j,t,ca;
    sum[0]=0;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&ca,&n);
        int x;
        for(i=1;i<=n;i++)
        {
            scanf("%d",&x);
            sum[i]=sum[i-1]+x;
        }


        for(i=1;i<=n;i++)
            if(fdd(sum[i])) break;

        printf("%d %d\n",ca,sum[i]);
    }
    return 0;
}