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Solution: Combination Sum

Explore how to solve the Combination Sum problem using dynamic programming. Understand the optimal substructure and overlapping subproblems properties, create a DP table to store combinations, and implement an algorithm that efficiently generates unique sums to reach the target value.

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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