DSA/Arrays & Strings/Maximum Subarray

Maximum Subarray

Medium

Problem Description

Given an integer array `nums`, find the subarray with the largest sum, and return its sum. A subarray is a contiguous non-empty sequence of elements within an array.

Examples

Input: nums = [-2,1,-3,4,-1,2,1,-5,4]

Output: 6

Explanation: The subarray [4,-1,2,1] has the largest sum 6.

Input: nums = [1]

Output: 1

Explanation: The single element forms the subarray with the maximum sum.

Input: nums = [5,4,-1,7,8]

Output: 23

Explanation: The entire array [5,4,-1,7,8] has the largest sum 23.

Starter Code

def maxSubArray(nums: List[int]) -> int:
    # Write your code here
    pass

Hints

  • If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach.
  • Think about how you would solve this problem if all numbers were positive.
  • How would you handle negative numbers? Can you modify Kadane's algorithm?