[LeetCode] 039. Combination Sum (Medium) (C++)

索引:[LeetCode] Leetcode 题解索引 (C++/Java/Python/Sql)
Github: https://github.com/illuz/leetcode



039. Combination Sum (Medium)

链接

题目:https://leetcode.com/problems/combination-sum/
代码(github):https://github.com/illuz/leetcode

题意

给出一些正整数集合,以及一个目标数,从集合中选择一些数使得它们的和等于目标数,可以重复选择集合里的数。
得到的解的集合不能有重复。

分析

暴力搜索过去是可以的,先排好序,然后用 DFS,每次有两种选择,一是选中当前的数然后递归当前数,二是不选当前数直接递归下个数。
这题用来理解 DFS 是很不错的。

代码

(C++)

/*
*  Author:      illuz 
*  File:        AC_dfs_n!.cpp
*  Create Date: 2015-01-01 10:45:58
*  Descripton:  dfs, choose or not choose
*/

#include 

using namespace std;
const int N = 0;

class Solution {
private:
    void dfs(vector > &ans, vector &single,
            vector &candi, int cur, int rest) {
        int sz = candi.size();
        if (sz <= cur || rest < 0)
            return;
        if (rest == 0) {
            ans.push_back(single);
            return;
        }
        // choose cur
        single.push_back(candi[cur]);
        dfs(ans, single, candi, cur, rest - candi[cur]);
        single.pop_back();
        // don't choose cur
        dfs(ans, single, candi, cur + 1, rest);
    }
public:
    vector > combinationSum(vector &candidates, int target) {
        vector > ans;
        vector single;
        sort(candidates.begin(), candidates.end());
        dfs(ans, single, candidates, 0, target);
        return ans;
    }
};

int main() {
    int tar;
    int n;
    Solution s;
    cin >> n >> tar;
    vector v(n);
    for (int i = 0; i < n; i++)
        cin >> v[i];
    vector > res = s.combinationSum(v, tar);
    for (auto &i : res) {
        for (auto &j : i)
            cout << j << ' ';
        puts("");
    }
    return 0;
}


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