Solution: Combination Sum

Discover how to solve the Combination Sum problem using dynamic programming in C++. Learn to identify optimal substructure and overlapping subproblems to efficiently generate unique number combinations that add up to a target. This lesson guides you through initializing and populating a DP table to reduce repetitive calculations, improving both time and space efficiency.

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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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