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

Rubens’ Consequences of War

A painting commissioned by the Grand Duke of Tuscany towards the end of the 30 Years' War in Europe, details with its figures the suffering resulting from war, rather than the triumph of victory.

via The Eclectic Light Company

LLMs struggle with the shell, too

You used to tell people, “why are you doing all this by hand — write a script to do it!”, and then “...I meant an actual Python script, not a buggy grep | sed | crap pipeline!” This got better since some of those too lazy to write a script (or not lazy enough to avoid the harder, buggier way?) now a...

via Yossi Kreinin

Lawmakers Demand Answers as CISA Tries to Contain Data Leak

Lawmakers in both houses of Congress are demanding answers from the U.S. Cybersecurity & Infrastructure Security Agency (CISA) after KrebsOnSecurity reported this week that a CISA contractor intentionally published AWS GovCloud keys and a vast trove of other agency secrets on a public GitHub account...

via Krebs on Security