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Combination Sum

Detailed guide and Python implementation for the 'Combination Sum' problem.

Problem Statement

Easy

Given an array of distinct integers candidates and a target integer target, return a list of all unique combinations of candidates where the chosen numbers sum to target. You may return the combinations in any order.

The same number may be chosen from candidates an unlimited number of times. Two combinations are unique if the frequency of at least one of the chosen numbers is different.

Implement a function combinationSum(candidates: list, target: int) -> list.

Constraints
  • 1 <= candidates.length <= 30
  • 2 <= candidates[i] <= 40
  • All elements of candidates are distinct
  • 1 <= target <= 40

Examples

Example 1
Input
[2,3,6,7], 7
Output
[[2,2,3],[7]]
Explanation

2 + 2 + 3 = 7 and 7 = 7. These are the only two combinations.

Example 2
Input
[2,3,5], 8
Output
[[2,2,2,2],[2,3,3],[3,5]]
Explanation

2+2+2+2 = 8, 2+3+3 = 8, and 3+5 = 8.

Example 3
Input
[2], 1
Output
[]
Explanation

No combination of 2's can sum to 1.

Need a Hint?
Consider using Backtracking-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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