Given a collection of numbers, return all possible permutations.

For example,
[1,2,3] have the following permutations:
[1,2,3][1,3,2][2,1,3][2,3,1][3,1,2], and [3,2,1].

求全排列,相当于回溯法中的排列树。

public class Solution {
public List<List<Integer>> permute(int[] nums) {
HashSet<List<Integer>> res = new HashSet<List<Integer>>();
backtrace(0,nums.length,nums,res);
return new ArrayList(res);
}
public void backtrace(int t,int n,int[] nums,HashSet<List<Integer>> res){
if(t>=n){
List<Integer> list = new ArrayList<Integer>();
for(int i = 0;i<n;i++)
list.add(nums[i]);
res.add(list);
}
else{
for(int i = t ;i<n; i++){
swap(nums,i,t);
backtrace(t+1, n, nums, res);
swap(nums,t,i);
}
}
} public int[] swap(int[] ints, int x, int y) { int temp = ints[x];
ints[x] = ints[y];
ints[y] = temp;
return ints;
}
}

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