[LeetCode]039-Combination Sum

题目:
Given a set of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.

The same repeated number may be chosen from C unlimited number of times.

Note:

All numbers (including target) will be positive integers.
Elements in a combination (a1, a2, … , ak) must be in non-descending order. (ie, a1 ≤ a2 ≤ … ≤ ak).
The solution set must not contain duplicate combinations.

For example, given candidate set 2,3,6,7 and target 7,
A solution set is:
[7]
[2, 2, 3]

Solution:
思路,先按照由小到大排序,然后依次选值,假设第i个:candidates[i],选完后target减去candidates[i],递归下,继续遍历从i往后的值。直到找到与target一样的值为止。

class Solution {
public:
    vector<vector<int>> combinationSum(vector<int>& candidates, int target) {
        sort(candidates.begin(),candidates.end());
        vector<vector<int>> results;
        vector<int> result;
        combine(candidates,target,0,results,result);
        return results;
    }

    void combine(vector<int>& candidates, int target,int begin,vector<vector<int>>& results,vector<int>& result)
    {
        int n = candidates.size();
        int i = 0;

        for(i = begin;i<n;i++)
        {
            if(candidates[i] == target)
            {
                result.push_back(candidates[i]);
                results.push_back(result);
                if(!result.empty())
                {
                    result.pop_back();
                }
                return;
            }
            else if(candidates[i] < target)
            {
                int t = target - candidates[i];
                result.push_back(candidates[i]);

                combine(candidates,t,i,results,result);
                if(!result.empty())
                    result.pop_back();
            }
            else
            {
                return;
            }

        }
    }

};

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