LeetCode—39、40.Combination Sum

39. Type:medium

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

The same repeated number may be chosen from candidatesunlimited 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]]


在一个非重复数组中找到几个元素,使得其和等于target,元素可以多次使用。

递归法,对于任何一个vector和target。首先排序,然后将i从0遍历到n-1,取vector[i]的值,并在vector[i]及其值后的数组中找和为target-vector[i]的数组,最后返回vector[i]+该数组。


class Solution {

public:

    vector<vector<int>> combinationSum(vector<int>& candidates, int target) {

        vector<vector<int>> ret;

        sort(candidates.begin(), candidates.end());

        int len = candidates.size();

        for(int i=0; i<len; i++){

            if(candidates[i] == target){

                ret.push_back({candidates[i]});

                break;

            }

            if(candidates[i] > target) break;

            vector<int> vec = vector<int>(candidates.begin()+i, candidates.end());

            vector<vector<int>> temp = combinationSum(vec, target - candidates[i]);

            for(int j=0; j<temp.size(); j++){

                temp[j].push_back(candidates[i]);

                sort(temp[j].begin(), temp[j].end());

                ret.push_back(temp[j]);

            }           

        }

        return ret;

    }

};


40、Type:medium

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

Each number in candidatesmay 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]]


本题与39题不同的是,数组中可能有重复元素,且每个元素只能用一次。但想法与上题相同。


class Solution {

public:

    vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {

        sort(candidates.begin(), candidates.end());

        vector<vector<int>> ret;

        int n = candidates.size();

        for(int i=0; i<n; i++){

            if(candidates[i] == target){

                ret.push_back({candidates[i]});

                break;

            }

            if(candidates[i] > target) break;

            vector<int> vec = vector<int>(candidates.begin()+i+1, candidates.end());

            vector<vector<int>> temp = combinationSum2(vec, target - candidates[i]);

            for(int j=0; j<temp.size(); j++){

                temp[j].push_back(candidates[i]);

                sort(temp[j].begin(), temp[j].end());

                ret.push_back(temp[j]);

            }

        }

        sort(ret.begin(), ret.end());

        ret.erase(unique(ret.begin(), ret.end()), ret.end());

        return ret;

    }

};

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