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

impl Solution {
    pub fn max_sub_array(nums: Vec<i32>) -> i32 {
        let mut maxi = i32::MIN;
        let mut sum = 0;
        for &num in nums.iter() {
            // calculating sub-array sum
            sum += num;
            maxi = maxi.max(sum);
            // if the sum is negative, reset it to 0
            if sum < 0 {
                sum = 0;
            }
        }
        maxi
    }
}