# Find All Duplicates in an Array

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]
```

分析

有a\[i]，把index=a\[i]-1那个位置的数置为1

```
class Solution:
    def findDuplicates(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        ret = []
        n = len(nums)
        if n<=1:
            return ret
        for i in range(n):
            index =  abs(nums[i])-1
            if nums[index]<0:
                ret.append(index+1)
            nums[index] = -nums[index]
        return ret
```

当前数换到val-1的位置上，所以数是1->n 位置是0->n-1

```
class Solution:
    def findDuplicates(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        ret = []
        n = len(nums)
        if n<=1:
            return ret
        i = 0
        while i<n:
        #换到i这个位置的新数字位置很可能也不对，需要继续换到i这个位置数到应有的位置为止
            while nums[nums[i]-1] != nums[i]:
                nums[nums[i]-1],nums[i] = nums[i],nums[nums[i]-1]           
            i+=1
         #数不在自己该有的位置，占了别人的位置，多余了。   
        for j in range(n):
            if j+1!=nums[j]:
                ret.append(nums[j])
        return ret
```


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