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Find the Maximum Length of a Good Subsequence I

You are given an integer array nums and a non-negative integer k.

You are given an integer array nums and a non-negative integer k. A sequence of integers seq is called good if there are at most k indices i in the range [0, seq.length - 2] such that seq[i] != seq[i + 1].

Return the maximum possible length of a good subsequence of nums.

Find the Maximum Length of a Good Subsequence I diagram

Example 1

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

Output: 4

Explanation: The maximum length subsequence is [ 1 , 2 , 1 , 1 ,3] .

Example 2

Input: nums = [1,2,3,4,5,1], k = 0

Output: 2

Explanation: The maximum length subsequence is [ 1 ,2,3,4,5, 1 ] .

Constraints

  • 1 <= nums.length <= 500
  • 1 <= nums[i] <= 10^9
  • 0 <= k <= min(nums.length, 25)

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