39. Combination Sum

Problem Statement

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.

The test cases are generated such 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: []

Constraints:

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

Intuition

Approach:

Stay on that index

Links

https://leetcode.com/problems/combination-sum/

Video Links

https://www.youtube.com/watch?v=OyZFFqQtu98&ab_channel=takeUforward

Approach 1:

C++

class Solution {
public:
     void find_comb(vector<int>& candidates, vector<vector<int>> &ans,
                    int &target, int &sum, int index, vector<int> &temp){

        if(index == candidates.size()){
            if(sum==target)
                ans.push_back(temp);

            return ;
        }

        if(sum < target){
            temp.push_back(candidates[index]);
            sum+=candidates[index];
            find_comb(candidates,ans,target,sum,index,temp);
            temp.pop_back();
            sum-=candidates[index];
        }
        find_comb(candidates,ans,target,sum,index+1,temp);


    }

    vector<vector<int>> combinationSum(vector<int>& candidates, int target) {
        vector<vector<int>>ans;
        vector<int>temp;
        int sum=0;
        int index=0;
        find_comb(candidates,ans,target,sum,index,temp);
        return ans;
    }
};

Approach 2:

C++

Approach 3:

C++

Approach 4:

C++