Leetcode|Combination Sum II[递归回溯]

版权声明:本文为博主原创文章,未经博主允许不得转载。 https://blog.csdn.net/mike_learns_to_rock/article/details/47210563

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

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

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 10,1,2,7,6,1,5 and target 8,
A solution set is:
[1, 7]
[1, 2, 5]
[2, 6]
[1, 1, 6]
先排序!
这个题,去重是关键;//[2,2,2,2] 4 怎么快速去重呢?
先抛出个很笨重的去重吧。40ms
解法1:

class Solution {
public:
    vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {
        sort(candidates.begin(),candidates.end());
        vector<int> temp;
        vector<vector<int>> res;
        combinationSum(candidates,0,target,temp,res);
        return res;
    }
private:
    void combinationSum(vector<int>& candidates,int index,int target,vector<int> temp,vector<vector<int>> &res){
        if(index==candidates.size()||candidates[index]>target) return;//终止条件
        if(candidates[index]==target){
            temp.push_back(candidates[index]);
            if(res.size()>0){//skip duplicates too slow!!!
                for(int i=0;i<res.size();i++){
                    if(equal(temp,res[i])) return;
                }
            }//不重复就加入!//但是这判断重复的代价太大了吧???
            res.push_back(temp);//找到一组满足条件的 
            return;
        }
         temp.push_back(candidates[index]);
         combinationSum(candidates,index+1,target-candidates[index],temp,res);
         temp.pop_back();
         combinationSum(candidates,index+1,target,temp,res);
    }

    bool equal(vector<int> &a,vector<int> &b){
        if(a.size()!=b.size()) return false;
        for(int i=0;i<a.size();i++){
            if(a[i]!=b[i]) return false;
        }
        return true;
    }
};

每次都是把整个res中的vector全部比较一遍,时间成本很高。
要想出在刚开始就去掉的方法!
解法2:把后面相同的元素跳过去。20ms

public:
    vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {
        sort(candidates.begin(),candidates.end());
        vector<int> temp;
        vector<vector<int>> res;
        combinationSum(candidates,0,target,temp,res);
        return res;
    }
private:
    void combinationSum(vector<int>& candidates,int index,int target,vector<int> temp,vector<vector<int>> &res){
      if(index==candidates.size()||candidates[index]>target) return;//终止条件
        for(int i=index;i<candidates.size();i++){
            if(i>index&&candidates[i]==candidates[i-1])
                  continue;
            temp.push_back(candidates[i]);
            if(candidates[i]==target){
               res.push_back(temp);//找到一组满足条件的 
               return;
            }
            combinationSum(candidates,i+1,target-candidates[i],temp,res);
            temp.pop_back();
        }
    }

猜你喜欢

转载自blog.csdn.net/mike_learns_to_rock/article/details/47210563