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Maximum Subarray

Maximum Subarray - LeetCodeLeetCode

Problem

Given an integer array nums, find the subarray which has the largest sum and return its sum.

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

Pseudocode

Solution

Time and Space Complexity

Time

Iterate thorugh nums array - O(N)
Total - O(N)

Space

Storing summation values, previous and maximum - O(1)
Total - O(1)

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Last updated 3 years ago

var maxSubArray = function(nums) {
    let max = - Infinity
    let prev = 0

    for(let i = 0; i < nums.length; i++) {
        let curr = nums[i];

        prev = Math.max(curr, curr + prev)
        max = Math.max(prev, max);
    }

    return max
};