You are given an integer array rolls of length n and an integer k. You roll a k sided dice numbered from 1 to k, n times, where the result of the ith roll is rolls[i].
Return the length of the shortest sequence of rolls that cannot be taken from rolls.
A sequence of rolls of length len is the result of rolling a k sided dice len times.
Note that the sequence taken does not have to be consecutive as long as it is in order.
\n\n\n
Example 1:
\n\n\nInput: rolls = [4,2,1,2,3,3,2,4,1], k = 4\nOutput: 3\nExplanation: Every sequence of rolls of length 1, [1], [2], [3], [4], can be taken from rolls.\nEvery sequence of rolls of length 2, [1, 1], [1, 2], ..., [4, 4], can be taken from rolls.\nThe sequence [1, 4, 2] cannot be taken from rolls, so we return 3.\nNote that there are other sequences that cannot be taken from rolls.\n\n
Example 2:
\n\n\nInput: rolls = [1,1,2,2], k = 2\nOutput: 2\nExplanation: Every sequence of rolls of length 1, [1], [2], can be taken from rolls.\nThe sequence [2, 1] cannot be taken from rolls, so we return 2.\nNote that there are other sequences that cannot be taken from rolls but [2, 1] is the shortest.\n\n\n
Example 3:
\n\n\nInput: rolls = [1,1,3,2,2,2,3,3], k = 4\nOutput: 1\nExplanation: The sequence [4] cannot be taken from rolls, so we return 1.\nNote that there are other sequences that cannot be taken from rolls but [4] is the shortest.\n\n\n
\n
Constraints:
\n\nn == rolls.length1 <= n <= 1051 <= rolls[i] <= k <= 105Compiled with clang 11 using the latest C++ 17 standard.
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