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  • combination sum && combination sum II

    1.Given a set of candidate numbers (candidates) (without duplicates) and a target number (target), find all unique combinations in candidates where the candidate numbers sums to target.

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

    Note:

    • All numbers (including target) will be positive integers.
    • The solution set must not contain duplicate combinations.

    Example 1:

    Input: candidates = [2,3,6,7], target = 7,
    A solution set is:
    [
      [7],
      [2,2,3]
    ]
    

    Example 2:

    Input: candidates = [2,3,5], target = 8,
    A solution set is:
    [
      [2,2,2,2],
      [2,3,3],
      [3,5]
    ]

    我的解答:

    class Solution {
        
    public:
        vector<vector<int>> combinationSum(vector<int>& candidates, int target) {
            vector<vector<int>> res;
            vector<int> temp;
            //if (candidates.size() < 1)return res;
            sort(candidates.begin(),candidates.end());
            combinationSum(candidates,res,temp,target,0);
            return res;
        }
        
    private:
        void combinationSum(vector<int>& candidates, vector<vector<int>> &res,vector<int> &temp, int target,int begin)
        {
            if (!target)
            {
                res.push_back(temp);
                return ;
            }
            // 这里要注意了,&& 两边应该先判断 i ,再判断candidates[i],否则将导致数组越界!!!
            for (int i = begin; i != candidates.size() && target >= candidates[i]; ++i)
            {
                temp.push_back(candidates[i]);
                combinationSum(candidates,res,temp,target - candidates[i],i);
                temp.pop_back();
            }
        }
    };

    其中有一个要注意的地方:

     && 运算符:先判断左边,只有左边为真,才计算右边

     || 运算符:先判断左边,只有左边为假,才计算右边

    2.Given a collection of candidate numbers (candidates) and a target number (target), find all unique combinations in candidates where the candidate numbers sums to target.

    Each number in candidates may only be used once in the combination.

    Note:

    • All numbers (including target) will be positive integers.
    • The solution set must not contain duplicate combinations.

    Example 1:

    Input: candidates = [10,1,2,7,6,1,5], target = 8,
    A solution set is:
    [
      [1, 7],
      [1, 2, 5],
      [2, 6],
      [1, 1, 6]
    ]
    

    Example 2:

    Input: candidates = [2,5,2,1,2], target = 5,
    A solution set is:
    [
      [1,2,2],
      [5]
    ]

    class Solution {
    public:
        vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {
            vector<vector<int>> res;
            vector<int> candi;
            sort(candidates.begin(),candidates.end());
            findNext(candidates,target,0,candi,res);
            return res;
        }
        
        void findNext(vector<int> &candidates, int target,int begin,vector<int> &candi,vector<vector<int>> &res)
        {
            if (!target)
            {
                res.push_back(candi);
                return;
            }
            for (int i = begin;i < candidates.size() && target >= candidates[i];++i)
            {
                if (i == begin || candidates[i] != candidates[i - 1]){ 
                    candi.push_back(candidates[i]);
                    findNext(candidates,target - candidates[i],i+1,candi,res);
                    candi.pop_back();
                }
    
            }
        }
    };
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  • 原文地址:https://www.cnblogs.com/qiang-wei/p/11864415.html
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