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; } }