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Solution: Combination Sum

Explore dynamic programming techniques to solve the Combination Sum problem by generating unique combinations of numbers that add up to a target. Learn to implement an optimized approach that uses memoization and careful combination management to efficiently handle overlapping subproblems and avoid redundant calculations.

Statement

Given an array of distinct integers, nums, and an integer, target, return a list of all unique combinations of nums where the chosen numbers sum up to the target. The combinations may be returned in any order.

An integer from nums may be chosen an unlimited number of times. Two combinations are unique if the frequency of at least one of the chosen integers is different.

Constraints:

  • 11 \leq nums.length 30\leq 30
  • 22 \leq nums[i] 40\leq 40
  • 11 \leq target 40\leq 40
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