problem
Maximum Subarray
Easy
Given an integer array
nums
, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.Example:
Input: [-2,1,-3,4,-1,2,1,-5,4], Output: 6 Explanation: [4,-1,2,1] has the largest sum = 6.
Follow up:
If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach, which is more subtle.
key
我們定義一個和爲第一位數,然後用curSum來保存遞增量
ps ans–>answer cur–>cursor
solution
class Solution {
public int maxSubArray(int[] nums) {
int ans=nums[0], curSum=0;
for (int i=0; i<nums.length; i++) {
curSum = curSum + nums[i];
ans = Math.max(ans, curSum);
curSum = Math.max(0, curSum);
}
return ans;
}
}
perfect
class Solution {
public int maxSubArray(int[] nums) {
int dp = nums[0], maxSum=nums[0];
for (int i=1; i<nums.length; i++) {
dp = dp<0?nums[i]:nums[i]+dp;
maxSum=Math.max(maxSum, dp);
}
return maxSum;
}
}