LeetCode-in-All

53. Maximum Subarray

Medium

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 {
  int maxSubArray(List<int> nums) {
    int maxi = -1 << 31; // Equivalent to Integer.MIN_VALUE
    int sum = 0;

    for (int num in nums) {
      // calculating sub-array sum
      sum += num;
      maxi = sum > maxi ? sum : maxi;

      if (sum < 0) {
        // reset sum to 0 if it's negative
        sum = 0;
      }
    }

    return maxi;
  }
}