POJ 1003 Max Sum

Posted 2021-01-07 shenyuling

Max Sum

Problem Description

Given a sequence a[1],a[2],a[3]......a[n], your job is to calculate the max sum of a sub-sequence. For example, given (6,-1,5,4,-7), the max sum in this sequence is 6 + (-1) + 5 + 4 = 14.

 

Input

The first line of the input contains an integer T(1<=T<=20) which means the number of test cases. Then T lines follow, each line starts with a number N(1<=N<=100000), then N integers followed(all the integers are between -1000 and 1000).

 

Output

For each test case, you should output two lines. The first line is "Case #:", # means the number of the test case. The second line contains three integers, the Max Sum in the sequence, the start position of the sub-sequence, the end position of the sub-sequence. If there are more than one result, output the first one. Output a blank line between two cases.

 

Sample Input

2

5 6 -1 5 4 -7

7 0 6 -1 1 -6 7 -5

 

Sample Output

Case 1:

14 1 4

 

Case 2:

7 1 6

代码如下：

原理：找出最大串的方法：和并法。遍历的同时将前面的加起来，具体看代码(AC)

#include<stdio.h>
#include<string.h>
int main()
{
    int t,num=0;;
    scanf("%d",&t);
    while(t--)
    {
        num++;
        int n,temp=1,a;//temp表示当前最大区间开头所在位置，一开始假定为1
        scanf("%d",&n);
        int start=1,max=-1001,end1,sum=0;
        for(int i=0;i<n;i++)
        {
            scanf("%d",&a);//a就是区间元素了，由于只用一次，所以就不用数组浪费内存了
            sum+=a;
            if(sum>max)//max 表示目前为止最大区间的和，sum大于max，说明区间改变
            {
              max=sum;
              end1=i+1;
              start=temp;
            }
            if(sum<0)//sum小于0，则表示若前面的temp为开头，不会有最大区间，故将sum，temp重置。
            {
                sum=0;//sum=0表示重新开始计算最大区间（下面的也是这个意思）
                temp=i+2;
            }    
        }    
        printf("Case %d:
%d %d %d
",num,max,start,end1);
        if(t!=0)
          printf("
");                       
    }
    return 0;
}