LeetCode Q 47 - Permutations II
Given a collection of numbers that might contain duplicates, return all possible unique permutations.
Example: Input: [1,1,2] ; Output: [ [1,1,2], [1,2,1], [2,1,1] ]
Solution : Backtracking
Tips:
- Use an extra boolean array
boolean[] used
to indicate whether the value is added to list. - Sort the array
int[] nums
to make sure we can skip the same value. - When a number has the same value with its previous, we can use this number only if his previous is used.
Code:
private List<List<Integer>> res;
public List<List<Integer>> permute(int[] nums) {
res = new ArrayList<>();
if (nums == null || nums.length == 0) return res;
Arrays.sort(nums);
boolean[] visited = new boolean[nums.length];
backtrack(nums, new ArrayList<>(), visited);
return res;
}
private void backtrack(int[] nums, List<Integer> temp, boolean[] visited) {
if (temp.size() == nums.length) {
res.add(new ArrayList(temp)); return;
}
for (int i = 0; i < nums.length; i++) {
if (visited[i] || i > 0 && nums[i] = nums[i - 1] && !visited[i - 1]) continue;
visited[i] = true;
temp.add(nums[i]);
backtrack(nums, temp, visited);
temp.remove(temp.size() - 1);
visited[i] = false;
}
}
Tips:
When backtracking, using !visited[i - 1]
or using visited[i - 1]
is all correct. But using !visited[i - 1]
is more efficient! These two figures can explain the reason !visited[i - 1], visited[i - 1].