Minimum Operations to Make the Array Alternating

You are given a 0-indexed array nums consisting of n positive integers.

The array nums is called alternating if:

  • nums[i - 2] == nums[i], where 2 <= i <= n - 1.
  • nums[i - 1] != nums[i], where 1 <= i <= n - 1.

In one operation, you can choose an index i and change nums[i] into any positive integer.

Return the minimum number of operations required to make the array alternating.

Example 1
Inputnums = [3,1,3,2,4,3]
Output3
One way to make the array alternating is by converting it to [3,1,3,1,3,1], which requires 3 operations, and it is not possible to do better.
Example 2
Inputnums = [1,2,2,2,2]
Output2
One way to make the array alternating is by converting it to [1,2,1,2,1], which requires 2 operations, and converting to [2,2,2,2,2] would violate the alternating conditions.

Constraints

  • 1 <= nums.length <= 10^5
  • 1 <= nums[i] <= 10^5

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