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Minimum Operations to Make the Array Alternating

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

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

The array nums is called alternating if:

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.

Minimum Operations to Make the Array Alternating diagram

Example 1

Input: nums = [3,1,3,2,4,3]

Output: 3

Explanation: One way to make the array alternating is by converting it to [3,1,3,1,3,1]. The number of operations required in this case is 3. It can be proven that it is not possible to make the array alternating in less than 3 operations.

Example 2

Input: nums = [1,2,2,2,2]

Output: 2

Explanation: One way to make the array alternating is by converting it to [1,2,1,2,1]. The number of operations required in this case is 2. Note that the array cannot be converted to [2,2,2,2,2] because in this case nums[0] == nums[1] which violates the conditions of an alternating array.

Constraints

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

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