题目:
Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
A subarray is a contiguous part of an array.
Example 1:
Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: [4,-1,2,1] has the largest sum = 6.
Example 2:
Input: nums = [1]
Output: 1
Example 3:
Input: nums = [5,4,-1,7,8]
Output: 23
Constraints:
1 <= nums.length <= 105
-104 <= nums[i] <= 104
我自己用了暴力求解法,通过两层循环嵌套,遍历数组中所有的子序并求和得到最大的子序和。这种方法时间复杂度大。看最佳答案看到一条:
nums = [-1, 1, -2,4, -3, 8]
maxSub = nums[0]
curSum = 0
for n in nums:
if curSum < 0:
curSum = 0
curSum += n
print (curSum)
maxSub = max(maxSub, curSum)
print (maxSub)
一开始想了半天,没想通为什么curSum<0时可以直接赋值为0.后来突然想到发现其实很简单,当前面的子序都小于0,那么也没必要在往后找的时候加上前面的子序,只会越加越小,所以可以直接等于0.