Maximum Subarray

Problem

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

Example 1:

Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: The subarray [4,-1,2,1] has the largest sum 6.

Example 2:

Input: nums = [1]
Output: 1
Explanation: The subarray [1] has the largest sum 1.

Example 3:

Input: nums = [5,4,-1,7,8]
Output: 23
Explanation: The subarray [5,4,-1,7,8] has the largest sum 23.

Constraints:

  • 1 <= nums.length <= 105
  • -104 <= nums[i] <= 104

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

Maybe I just really don’t understand what dynamic programming is.

class Solution {
    public int maxSubArray(int[] nums) {
        var curr = 0;
        var max = Integer.MIN_VALUE;

        for (var i : nums) {
            curr += i;
            max = Math.max(curr, max);
            if (curr < 0) {
                curr = 0;
            }
        }

        return max;
    }
}

Recent posts from blogs that I like

Doing nothing at work

Many engineers should be doing less work. I don’t necessarily mean producing less code or fewer changes, but literally working fewer hours in the day. When they do work, they should be working at a slower pace. I like to aim to be running at 80% utilization by default: unless I have a high-pressure ...

via Sean Goedecke

Elihu Vedder’s symbolism and stories: 1885-1913

More myth and Symbolism, with the Pleiades, Fates, and Fortuna, followed by large murals and a mosaic in the Library of Congress.

via The Eclectic Light Company

Thoughts on starting new projects with LLM agents

A few months ago I wrote about using LLM agents to help restructuring one of my Python projects. It's worth beginning by saying that the rewrite has been successful by all reasonable measures; I've been able to continue maintaining that project since then without an issue. In this post, I want to di...

via Eli Bendersky