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.
- 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 10,1,2,7,6,1,5 and target 8,
A solution set is:
[1, 7]
[1, 2, 5]
[2, 6]
[1, 1, 6]
class Solution {
public:
vector<vector<int> >ans;
set<vector<int> > res;
vector<int> v;
vector<vector<int> > combinationSum2(vector<int> &candidates, int target) {
sort(candidates.begin(),candidates.end());
generate(candidates,0,0,target);
for(set<vector<int> >::iterator it = res.begin();it != res.end();it ++)
ans.push_back(*it);
return ans;
}
void generate(vector<int> cand,int sum,int start,int target){
if(sum == target){
res.insert(v);
return;
}
for(int i = start;i < cand.size();++ i){
v.push_back(cand[i]);
sum += cand[i];
if(sum > target){
v.pop_back();
break;
}
generate(cand,sum,i + 1,target);
v.pop_back();
sum -= cand[i];
}
}
};
本文介绍了一种寻找候选数集合中所有唯一组合的算法,这些组合的和等于目标数。文章详细解释了如何确保组合的独特性及非递减顺序,并通过实例展示了算法的有效性。
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