LeetCode 442. Find All Duplicates in an Array-优快云博客

本文提供两种解决LeetCode上查找数组中所有重复数字的方法。第一种方法通过标记数组元素来查找重复项，时间复杂度为O(n)，空间复杂度为O(1)。第二种方法则通过交换元素至正确位置来找出重复项，同样保持O(n)的时间复杂度及O(1)的空间复杂度。

原题链接在这里：https://leetcode.com/problems/find-all-duplicates-in-an-array/

题目：

Given an array of integers, 1 ≤ a[i] ≤ n (n = size of array), some elements appear twice and others appear once.

Find all the elements that appear twice in this array.

Could you do it without extra space and in O(n) runtime?

Example:

Input:
[4,3,2,7,8,2,3,1]

Output:
[2,3]

题解：

类似Find All Numbers Disappeared in an Array. iterate nums array时把nums[Math.abs(nums[i]-1)]标负，但需要先检查是否已经标过负了。若是说明是出现过一次. 把index+1添加到res中.

Time Complexity: O(nums.length). Space: O(1).

AC Java:

 1 public class Solution {
 2     public List<Integer> findDuplicates(int[] nums) {
 3         List<Integer> res = new ArrayList<Integer>();
 4         if(nums == null || nums.length == 0){
 5             return res;
 6         }
 7         
 8         for(int i = 0; i<nums.length; i++){
 9             int index = Math.abs(nums[i])-1;
10             if(nums[index] < 0){
11                 res.add(index + 1);
12             }else{
13                 nums[index] = -nums[index];
14             }
15         }
16         return res;
17     }
18 }

可以吧num[i] swap到对应的index = nums[i]-1上面.

第二遍iterate时如果nums[i] !=i+1. nums[i]就是duplicate的. 加入res中.

Time Complexity: O(n). Space: O(1), regardless res.

AC Java:

 1 class Solution {
 2     public List<Integer> findDuplicates(int[] nums) {
 3         List<Integer> res = new ArrayList<Integer>();
 4         for(int i = 0; i<nums.length; i++){
 5             if(nums[i]-1>=0 && nums[i]-1<nums.length && nums[i]!=nums[nums[i]-1]){
 6                 swap(nums, i, nums[i]-1);
 7                 i--;
 8             }      
 9         }
10         
11         for(int i = 0; i<nums.length; i++){
12             if(nums[i] != i+1){
13                 res.add(nums[i]);
14             }
15         }
16         
17         return res;
18     }
19     
20     private void swap(int [] nums, int i, int j){
21         int temp = nums[i];
22         nums[i] = nums[j];
23         nums[j] = temp;
24     }
25 }