LeetCode in Php

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

class Solution {
    /**
     * @param Integer[] $nums
     * @return Integer
     */
    public function maxSubArray($nums) {
        $maxi = PHP_INT_MIN;
        $sum = 0;
        foreach ($nums as $num) {
            // calculating sub-array sum
            $sum += $num;
            $maxi = max($sum, $maxi);
            if ($sum < 0) {
                // there is no point to carry a -ve subarray sum. hence setting to 0
                $sum = 0;
            }
        }
        return $maxi;
    }
}