How to Solve Maximum Subarray Sum with One Deletion Leetcode Problem - Interview Coder Guide
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How to Solve Maximum Subarray Sum with One Deletion Problem

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Medium#1288
LeetCode Problem

Maximum Subarray Sum with One Deletion

Given an array of integers, return the maximum sum for a non-empty subarray (contiguous elements) with at most one element deletion. In other words, you want to choose a subarray and optionally delete...

ArrayDynamic Programming

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Problem Breakdown

Understanding the Maximum Subarray Sum with One Deletion Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Given an array of integers, return the maximum sum for a non-empty subarray (contiguous elements) with at most one element deletion. In other words, you want to choose a subarray and optionally delete one element from it so that there is still at least one element left and the sum of the remaining elements is maximum possible. Note that the subarray needs to be non-empty after deleting one element.

MediumProblem #1288
LeetCode

Maximum Subarray Sum with One Deletion

Related Topics
ArrayDynamic Programming
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Examples

Example 1
INPUT
arr = [1,-2,0,3]
OUTPUT
4
EXPLANATION

Because we can choose [1, -2, 0, 3] and drop -2, thus the subarray [1, 0, 3] becomes the maximum value.

Example 2
INPUT
arr = [1,-2,-2,3]
OUTPUT
3
EXPLANATION

We just choose [3] and it's the maximum sum.

Example 3
INPUT
arr = [-1,-1,-1,-1]
OUTPUT
-1
EXPLANATION

The final subarray needs to be non-empty. You can't choose [-1] and delete -1 from it, then get an empty subarray to make the sum equals to 0.

Constraints

1 <= arr.length <= 105
104 <= arr[i] <= 104

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