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                **一. 題目描述** 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. (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] ~~~ **二. 題目分析** 題目大意是:有一個正整數集合C和一個正整數目標T。現從C中選出一些數,使其累加和恰好等于T(C中的每個數都可以取若干次),求所有不同的取數方案,是一道典型的深度優先搜索題。 題目的一個細節是,正整數集合C可能存在**重復的數**,而這些數用于組合時,會產生重復的排列組合,如下圖所示,而題目要求:The solution set must not contain duplicate combinations. ![](https://box.kancloud.cn/2016-01-05_568bb5f11dc9e.jpg) 我的解決方法是對正整數集合C先進行從小到大排序,然后使用vector的erase方法去除集合C的重復元素,然后再進行DFS的相關運算。 **三. 示例代碼** ~~~ #include <iostream> #include <vector> #include <algorithm> using namespace std; class Solution { public: vector<vector<int> > combinationSum(vector<int> &candidates, int target) { vector<int> temp; // 用于存放臨時組合 sort(candidates.begin(), candidates.end()); // 結果要求輸出的組合不能重復,需要去除candidates中的重復元素 candidates.erase(unique(candidates.begin(), candidates.end()), candidates.end()); combinationDFS(candidates, temp, 0, target); return result; } private: vector<vector<int> > result; void combinationDFS(vector<int> &candidates, vector<int> &temp, size_t index, int target) { if (target == 0) // 得到滿足目標的一組解 { result.push_back(temp); return; } else { for (size_t i = index; i < candidates.size(); ++i) { if (candidates[i] > target) return; temp.push_back(candidates[i]); combinationDFS(candidates, temp, i, target - candidates[i]); temp.pop_back(); } } } }; ~~~ ![](https://box.kancloud.cn/2016-01-05_568bb5f136576.jpg) **四. 小結** 該題是一道經典的DFS題目,后續還有Combination Sum II和Combination Sum III,需要深入研究。
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