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 <= 105给你一个长度为 n 的整数数组 nums ，n 是 偶数 ，同时给你一个整数 k 。
你可以对数组进行一些操作。每次操作中，你可以将数组中 任一 元素替换为 0 到 k 之间的 任一 整数。
执行完所有操作以后，你需要确保最后得到的数组满足以下条件：
\n\nX ，满足对于所有的 (0 <= i < n) 都有 abs(a[i] - a[n - i - 1]) = X 。请你返回满足以上条件 最少 修改次数。
\n\n\n\n
示例 1：
\n\n输入：nums = [1,0,1,2,4,3], k = 4
\n\n输出：2
\n\n解释：
\n我们可以执行以下操作：
nums[1] 变为 2 ，结果数组为 nums = [1,2,1,2,4,3] 。nums[3] 变为 3 ，结果数组为 nums = [1,2,1,3,4,3] 。整数 X 为 2 。
示例 2：
\n\n输入：nums = [0,1,2,3,3,6,5,4], k = 6
\n\n输出：2
\n\n解释：
\n我们可以执行以下操作：
nums[3] 变为 0 ，结果数组为 nums = [0,1,2,0,3,6,5,4] 。nums[4] 变为 4 ，结果数组为 nums = [0,1,2,0,4,6,5,4] 。整数 X 为 4 。
\n\n
提示：
\n\n2 <= n == nums.length <= 105n 是偶数。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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