[Solved] Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.

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Question

Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.

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

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.

Python Solution

class Solution:
    def maxSubArray(self, nums: List[int]) -> int:
        if len(nums)==1:
            print(nums[0])

        global_max = nums[0]
        current_sum = nums[0]

        for i in range(1,len(nums)):
            current_sum = max(current_sum+nums[i],nums[i])
            global_max = max(current_sum,global_max)

        return global_max

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