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:
X
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.
Example 1:
Input: nums = [1,0,1,2,4,3], k = 4
Output: 2
Explanation:
We 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:
Input: nums = [0,1,2,3,3,6,5,4], k = 6
Output: 2
Explanation:
We 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.
Constraints:
2 <= n == nums.length <= 105
n
is even.0 <= nums[i] <= k <= 105