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.
\n
Example 1:
\n\nInput: nums = [1,2,1,1,3], k = 2
\n\nOutput: 4
\n\nExplanation:
\n\nThe maximum length subsequence is [1,2,1,1,3].
Example 2:
\n\nInput: nums = [1,2,3,4,5,1], k = 0
\n\nOutput: 2
\n\nExplanation:
\n\nThe maximum length subsequence is [1,2,3,4,5,1].
\n
Constraints:
\n\n1 <= nums.length <= 5 * 1031 <= nums[i] <= 1090 <= k <= min(50, nums.length)nums don’t really matter. So we can remap the set of values to the range [0, n - 1].",
"Let dp[i][j] be the length of the longest subsequence till index j with at most i positions such that seq[i] != seq[i + 1].",
"For each value x from left to right, update dp[i][x] = max(dp[i][x] + 1, dp[i - 1][y] + 1), where y != x."
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