Given a collection of numbers that might contain duplicates, return all possible unique permutations.
For example,[1,1,2]
have the following unique permutations:
[1,1,2]
, [1,2,1]
, and [2,1,1]
.
思路:全排列问题;按照递归的思想,从“第一个字符”开始,依次与后面各字符交换。
对于重复数字出现的数字,进行排序,在递归时不用交换,否则超时!
用set集合可以去重;
class Solution {
public:
vector<int> temp;
set< vector<int> > ans;
vector< vector<int> > ans_end;
void permute1(vector<int>& nums,int index)
{
int i = 0;
int j = 0;
int temp;
if(index == nums.size())
{
ans.insert(nums);
return ;
}
for(i = index;i<nums.size();i++)
{
if(nums[index] == nums[i] && i>index)
continue;
else
{
temp = nums[i];
nums[i] = nums[index];
nums[index] = temp;
}
permute1(nums,index+1);
if(nums[index] != nums[i] && i>index)
{
temp = nums[index];
nums[index] = nums[i];
nums[i] = temp;
}
}
}
vector<vector<int> > permuteUnique(vector<int>& nums){
int n = nums.size();
if(n == 0)
return ans_end;
sort(nums.begin(),nums.end());
permute1(nums,0);
set<vector<int> > ::iterator it;
it = ans.begin();
while(it!=ans.end())
{
ans_end.push_back(*it);
it++;
}
return ans_end;
}
};