Construct Uniform Parity Array II - Solution & Explanation

You are given an array nums1 of n distinct integers.

You want to construct another array nums2 of length n such that the elements in nums2 are either all odd or all even.

For each index i, you must choose exactly one of the following (in any order):

• nums2[i] = nums1[i]​​​​​​​
• nums2[i] = nums1[i] - nums1[j], for an index j != i, such that nums1[i] - nums1[j] >= 1

Return true if it is possible to construct such an array, otherwise return false.

 

Example 1:

Example 2:

Example 3:

 

Constraints:

• 1 <= n == nums1.length <= 105
• 1 <= nums1[i] <= 109
• nums1 consists of distinct integers.