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leetcode 53 Maximum Subarray

2017-06-07 16:23 246 查看
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
.




思路:dp

dp[i]表示一a[i]结尾的最大子数组的和

dp[i]=max(dp[i-1]+a[i],a[i]);

AC代码

public class Solution {
public int maxSubArray(int[] nums) {
int n=nums.length;
int dp[]=new int
;
dp[0]=nums[0];
int answer=dp[0];
for(int i=1;i<n;i++){
dp[i]=Math.max(dp[i-1]+nums[i],nums[i]);
answer=Math.max(dp[i],answer);
}
return answer;
}
}

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