hardTwo PointersPattern: Two Pointers Search

Triplet Sum With Middle Element Constraint Solution

Problem Statement

You are given an array of integers `numbers` and a target sum `target`. Find all unique triplets in the array that add up to the `target` sum, where the middle element of the triplet is at most the sum of the two other elements.

Examples

Example 1:
Input:{"numbers":[12345],"target":6}
Output:[[123]]
Explanation: The triplet [1,2,3] is a valid solution because 1 + 2 + 3 = 6 and 2 <= 1 + 3.

Constraints

  • All elements in the array will be unique.
  • The array will have at least two elements.
  • The target sum will be greater than any element in the array.
Time: O(n^2) Space: O(n)
Analyze constraints and compute optimal solutions step-by-step.

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