Combination Sum
Application of Backtracking

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Frontend Engineering: FrontendEngineering.io
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Problem Statement:
Given an array of distinct integers and a target integer, return a list of all unique combinations of integers from the given array where the chosen integers sum to target.
The same number may be chosen from the array an unlimited number of times. Two combinations are unique if the frequency of at least one of the chosen numbers is different.
Example:
Input = [2,3,5], target = 5
Output: [[3, 2],[5]]
Input = [2,3,5], target = 8
Output: [[2,2,2,2],[2,3,3],[3,5]]
Input = [1], target = 1
Output: [[1]]
Input = [1], target = 2
Output: [[1,1]]
Solution:
 NOTE: I highly recommend going through the Backtracking chapters in the order they are given in the Index page to get the most out of it and be able to build a rocksolid understanding.
Algorithm:
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Java Code:
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Python Code:
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Don't forget to take indepth look at the other backtracking problems because that is what would make you comfortable with using the backtracking template and master the art of Backtracking:
 Letter Case Permutation
 Power Set
 All Paths Between Two Nodes
 Word Search
 Sudoku
 NQueens
 Word Square
 Generate Parentheses