You are given an integer array nums of size n where n is even, and an integer k.
You can perform some changes on the array, where in one change you can replace any element in the array with any integer in the range from 0 to k.
You need to perform some changes (possibly none) such that the final array satisfies the following condition:
\n\nX such that abs(a[i] - a[n - i - 1]) = X for all (0 <= i < n).Return the minimum number of changes required to satisfy the above condition.
\n\n\n
Example 1:
\n\nInput: nums = [1,0,1,2,4,3], k = 4
\n\nOutput: 2
\n\nExplanation:
\nWe can perform the following changes:
nums[1] by 2. The resulting array is nums = [1,2,1,2,4,3].nums[3] by 3. The resulting array is nums = [1,2,1,3,4,3].The integer X will be 2.
Example 2:
\n\nInput: nums = [0,1,2,3,3,6,5,4], k = 6
\n\nOutput: 2
\n\nExplanation:
\nWe can perform the following operations:
nums[3] by 0. The resulting array is nums = [0,1,2,0,3,6,5,4].nums[4] by 4. The resulting array is nums = [0,1,2,0,4,6,5,4].The integer X will be 4.
\n
Constraints:
\n\n2 <= n == nums.length <= 105n is even.0 <= nums[i] <= k <= 105k + 1 possible values of the integer X.",
"How do we calculate the minimum number of changes efficiently if we fix the value of X before applying any changes?"
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