Solution: Combination Sum

Explore the dynamic programming approach to solve the combination sum problem efficiently. Understand how to build and use a DP table to find all unique combinations of numbers that sum to a target, avoiding redundant calculations. This lesson helps you grasp optimization of recursive solutions by leveraging overlapping subproblems and optimal substructure.

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Statement
Solution
- Naive approach
- Optimized approach using dynamic programming

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:

$1 \leq$ nums.length $\leq 30$
$2 \leq$ nums[i] $\leq 40$
$1 \leq$ target $\leq 40$

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