Maximum Subarray
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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
.
public class Solution { public int maxSubArray(int[] nums) { //soFar 存储到位置i时的最大值 //endHere存储包含位置i的最大值 int soFar = nums[0],endHere = nums[0]; for(int i = 1; i < nums.length; i++){ //关键点 //如果endHere + nums[i] < nums[i],为什么要包含前面的?所以直接从nums[i]开始 //动态规划,保证包含到nums[i]时,和最大,如果包,肯定包含i-1位 endHere = Math.max(endHere + nums[i],nums[i]); //如果包含位置i时的最大值比之前的大,那么就替换原来的最大值 //比方e.g中i = 4 时,endHere = 3, soFar = 4 // i = 5 时,endHere = 5, soFar = 5 if(endHere> soFar){ soFar = endHere; } } return soFar; }}
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