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LeetCode40 Combination Sum II

题目:

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.
  • 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]]

 分析:

主体回溯框架和Combination Sum I一致,不同之处在于一个元素不能重复用,同时不能出现重复的组合。

所以DFS那一个条件 start 变为start + 1;

同时插入result之前判定是否出现过重复的结果。

代码:

 1 class Solution { 2 private: 3     vector<vector<int>>result; 4     void dfs(int start, int end, const vector<int>& candidates, int target, vector<int>& internal) { 5         if (start > end) { 6             return; 7         } 8         if (candidates[start] == target) { 9             internal.push_back(candidates[start]);10             if ( find(result.begin(), result.end(), internal) == result.end()) {11                 result.push_back(internal);12             }13             internal.pop_back();14             return;   15         }16         if (candidates[start] > target) {17             return;18         }19         dfs(start + 1, end, candidates, target, internal);20         internal.push_back(candidates[start]);21         dfs(start + 1, end, candidates, target - candidates[start], internal);22 23         internal.pop_back();24     }25 public:26     vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {27         sort(candidates.begin(), candidates.end());28         int end = candidates.size() - 1;29         vector<int> internal;30         dfs(0, end, candidates, target, internal);31         return result;32     }33 };

 

LeetCode40 Combination Sum II