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Four-Sum to Target
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Four-Sum to Target

MediumPython

Problem

For a Pocket Gems game event, four reward values may combine to a required score. Given an integer array nums and an integer target, return every unique quadruplet [a, b, c, d] such that a + b + c + d == target.

Each quadruplet must be returned in nondecreasing order, and the complete result must not contain duplicate quadruplets. The same array element may be used only once in a quadruplet, although equal values at different indices may be selected. Return an empty list when no valid quadruplet exists. The order of quadruplets in the result does not matter.

Formal Specification

  • Input: nums, an array of integers, and target, an integer.
  • Output: A list of lists containing all unique value-based quadruplets whose sum equals target.

Constraints

  • 1 <= nums.length <= 2000
  • -10^9 <= nums[i] <= 10^9
  • -10^9 <= target <= 10^9
  • Each array index may be used at most once
  • Quadruplets must be unique by values, not by indices

Function Signature

def four_sum(nums, target):
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