Given an array of integers nums, half of the integers in nums are odd, and the other half are even.
Sort the array so that whenever nums[i] is odd, i is odd, and whenever nums[i] is even, i is even.
Return any answer array that satisfies this condition.
Example 1:
Input: nums = [4,2,5,7]
Output: [4,5,2,7]
Explanation: [4,7,2,5], [2,5,4,7], [2,7,4,5] would also have been accepted.
Example 2:
Input: nums = [2,3]
Output: [2,3]
Constraints:
2 <= nums.length <= 2 * 104
nums.length is even.
Half of the integers in nums are even.
0 <= nums[i] <= 1000
Follow Up: Could you solve it in-place?
Solutions
Solution 1: Two Pointers
We use two pointers \(i\) and \(j\) to point to even and odd indices, respectively. Initially, \(i = 0\) and \(j = 1\).
When \(i\) points to an even index, if \(\textit{nums}[i]\) is odd, we need to find an odd index \(j\) such that \(\textit{nums}[j]\) is even, and then swap \(\textit{nums}[i]\) and \(\textit{nums}[j]\). Continue traversing until \(i\) reaches the end of the array.
The time complexity is \(O(n)\), where \(n\) is the length of the array \(\textit{nums}\). The space complexity is \(O(1)\).