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by Sumit Chourasia | Oct 25, 2020 | Category :coding | Tags : algorithm array data-structure leetcode medium

Combination Sum - Array - Medium - LeetCode

Combination Sum - Array - Medium - LeetCode

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.

It is guaranteed that the number of unique combinations that sum up to target is less than 150 combinations for the given input.

 

Example 1:

Input: candidates = [2,3,6,7], target = 7
Output: [[2,2,3],[7]]
Explanation:
2 and 3 are candidates, and 2 + 2 + 3 = 7. Note that 2 can be used multiple times.
7 is a candidate, and 7 = 7.
These are the only two combinations.
Example 2:

Input: candidates = [2,3,5], target = 8
Output: [[2,2,2,2],[2,3,3],[3,5]]
Example 3:

Input: candidates = [2], target = 1
Output: []
Example 4:

Input: candidates = [1], target = 1
Output: [[1]]
Example 5:

Input: candidates = [1], target = 2
Output: [[1,1]]
 

Constraints:

1 <= candidates.length <= 30
1 <= candidates[i] <= 200
All elements of candidates are distinct.
1 <= target <= 500

public class Solution {
    IList<IList<int>> ans = new List<IList<int>>();
    HashSet<string> set = new HashSet<string>();
    public IList<IList<int>> CombinationSum(int[] candidates, int target) {
        var res = new List<int>();
        Helper(candidates, target, res);
        return ans;
    }
    
    private void Helper(int[] candidates, int target, List<int> res){
        if(target == 0){
            if(set.Contains(GetKey(res))){
                return;
            }
            var temp = new List<int>();
            foreach(var item in res){
                temp.Add(item);
            }
            ans.Add(temp);
            set.Add(GetKey(res));
            return;
        }
        
        if(target < 0)
        {
            return;
        }
        
        for(int i=0;i<candidates.Length;i++){            
            res.Add(candidates[i]);
            Helper(candidates, target-candidates[i], res);
            res.RemoveAt(res.Count()-1);
        }
    }
    
    private string GetKey(List<int> res){
        var arr = res.ToArray();
        Array.Sort(arr);
        return string.Join(":", arr);
    }
}

Time Complexity: O(n^n) //Exponential time complexity

Space Complexity: O(n)

Contributed By: Sumit Chourasia
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