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.
Example 1:
Input: rolls = [4,2,1,2,3,3,2,4,1], k = 4
Output: 3
Explanation: Every sequence of rolls of length 1, [1], [2], [3], [4], can be taken from rolls.
Every sequence of rolls of length 2, [1, 1], [1, 2], ..., [4, 4], can be taken from rolls.
The sequence [1, 4, 2] cannot be taken from rolls, so we return 3.
Note that there are other sequences that cannot be taken from rolls.
Example 2:
Input: rolls = [1,1,2,2], k = 2
Output: 2
Explanation: Every sequence of rolls of length 1, [1], [2], can be taken from rolls.
The sequence [2, 1] cannot be taken from rolls, so we return 2.
Note that there are other sequences that cannot be taken from rolls but [2, 1] is the shortest.
Example 3:
Input: rolls = [1,1,3,2,2,2,3,3], k = 4
Output: 1
Explanation: The sequence [4] cannot be taken from rolls, so we return 1.
Note that there are other sequences that cannot be taken from rolls but [4] is the shortest.
Constraints:
n == rolls.length
1 <= n <= 105
1 <= rolls[i] <= k <= 105
Java Code :