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53. 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.

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:

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.

Solution

function maxSubArray(nums: number[]): number {
    let curSum: number = nums[0]
    let maxSum: number = nums[0]
    for (let i = 1; i < nums.length; i++) {
        curSum = Math.max(nums[i], nums[i] + curSum)
        maxSum = Math.max(curSum, maxSum)
    }
    return maxSum
}

export { maxSubArray }