53. Maximum Subarray

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问题描述:

Find the contiguous subarray within an array (containing at least one number) which has the largest sum.

For example, given the array [-2,1,-3,4,-1,2,1,-5,4],
the contiguous subarray [4,-1,2,1] has the largest sum = 6.

解题思路:

该题是给出一个序列,然后让我们找到子序列之和最大的子序列的和。

#include"stdio.h"
int pos;
int maxSubArray(int *nums,int numsSize){
    int sum=0;
    int res=nums[0];
    int i;
    for(i=0;i<numsSize;i++){
        if(sum<0){
            sum=0;
        }
        sum+=nums[i];

        if(res<=sum){
            res=sum;
            pos=i;
        }
    }
    return res;
}
void main(){
    int a[9]={-2,1,-3,4,-1,2,1,-5,4};
    int max,i,count=0;
    max=maxSubArray(a,9);
    int sum2=a[pos];
    for(i=pos-1;i>0;i--)
    {
        if(sum2<max)
        {
            sum2=sum2+a[i];
            count++;
        }
    }
    for(i=count;i<=pos;i++)
        printf("%d,",a[i]);
    printf("该子序列之和为该序列中最大,其和为:%d",max);
}