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Backtracking

Combination Sum

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Combination Sum** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** DFS with repeat allowed; subtract from target **Edge Cases to Consider:** - (1) No combination sums to target - (2) Single candidate equals target - (3) Target = 0

Examples

Example 1
Input: [2,3,6,7], 7
Output: [[2,2,3],[7]]
Example 2
Input: [2,3,5], 8
Output: [[2,2,2,2],[2,3,3],[3,5]]
Example 3
Input: [2], 1
Output: []
Explanation: Impossible

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪No combination sums to target
  • ▪Single candidate equals target
  • ▪Target = 0
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