Given a collection of integers that might contain duplicates, S, return all possible subsets.
Note:
- Elements in a subset must be in non-descending order.
- The solution set must not contain duplicate subsets.
For example,
If S = [1,2,2],
a solution is:
[ [2], [1], [1,2,2], [2,2], [1,2], [] ]这道题用了combination的DFS模板加上一个for循环,加了一个used的bool型数组避免重复。
第一遍做这道题的时候很suffer,完全没往combination上去想,果然训练多了还是有一点小长进。
class Solution {
public:
vector<vector<int> > subsetsWithDup(vector<int> &S) {
// Start typing your C/C++ solution below
// DO NOT write int main() function
vector<int> answer;
vector<vector<int> > result;
result.push_back(answer); //empty set
sort(S.begin(), S.end());
int maxDep;
for(int i = 1;i<=S.size();i++)
{
answer.clear();
vector<bool> used(S.size(),false);
dfs(result,answer,S,used,0,0,i);
}
return result;
}
void dfs(vector<vector<int> > &result, vector<int> &answer, vector<int> &num, vector<bool> used, int depth,int index, int maxDepth)
{
if(depth==maxDepth)
{
result.push_back(answer);
return;
}
for(int i=index;i<num.size();i++)
{
if(i!=0&&num[i]==num[i-1]&&used[i-1]==false)
{
continue; //avoid duplicates
}
else
{
answer.push_back(num[i]);
used[i]=true;
dfs(result,answer,num,used,depth+1,i+1,maxDepth);
answer.pop_back();
used[i]=false;
}
}
}
};
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