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Leetcode--Combination Sum
Problem Description:
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. (ie, 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]
分析:按照题意要在给定数组中找出和为target的所有组合情况,其中每个元素都可以重复被选择多次,这是一个很典型的利用深度搜索寻找解的过程,将所有可能的情况都遍历出来,得到所有的组合,记录下来即可,代码如下:
class Solution { public: void dfs(vector<int> &candidates,int target,int start,vector<vector<int> > &results,vector<int> &subset) { if(target==0) { results.push_back(subset); return; } if(target<0) return; for(size_t i=start;i!=candidates.size();++i) { if(target<candidates[i]) return; subset.push_back(candidates[i]); dfs(candidates,target-candidates[i],i,results,subset); subset.pop_back(); } } vector<vector<int> > combinationSum(vector<int> &candidates, int target) { sort(candidates.begin(),candidates.end()); vector<vector<int> > results; vector<int> subset; dfs(candidates,target,0,results,subset); return results; } };
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