Solution: Combination Sum

Explore how dynamic programming optimizes the Combination Sum problem by avoiding redundant calculations. Understand how to build solutions that list unique combinations of numbers summing to a target. This lesson guides you through initializing dynamic tables, selecting valid combinations, and improving efficiency compared to naive recursion.

We'll cover the following...

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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