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/*
Author: King, wangjingui@outlook.com
Date: Dec 25, 2014
Problem: Maximum Subarray
Difficulty: Medium
Source: https://oj.leetcode.com/problems/maximum-subarray/
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.
Solution: dp.
*/
public class Solution {
public int maxSubArray_1(int[] A) {
if (A.length == 0) return 0;
int minVal = Math.min(A[0],0), res = A[0], sum = A[0];
for (int i = 1; i < A.length; ++i) {
sum += A[i];
res = Math.max(res, sum - minVal);
minVal = Math.min(minVal, sum);
}
return res;
}
public int maxSubArray_2(int[] A) {
if (A.length == 0) return 0;
int dp = A[0], res = A[0];
for (int i = 1; i < A.length; ++i) {
dp = Math.max(A[i], dp + A[i]);
res = Math.max(res, dp);
}
return res;
}
}
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