Shortest Impossible Sequence of Rolls LeetCode Solution

Problem – Shortest Impossible Sequence of Rolls LeetCode Solution

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

Shortest Impossible Sequence of Rolls LeetCode Solution in Java

    public int shortestSequence(int[] A, int k) {
        int res = 1;
        Set<Integer> s = new HashSet<>();
        for (int a : A) {
            s.add(a);
            if (s.size() == k) {
                res++;
                s.clear();
            }
        }
        return res;
    }

Shortest Impossible Sequence of Rolls LeetCode Solution in C++

    int shortestSequence(vector<int>& A, int k) {
        int res = 1;
        unordered_set<int> s;
        for (int& a : A) {
            s.insert(a);
            if (s.size() == k) {
                res++;
                s.clear();
            }
        }
        return res;
    }

Shortest Impossible Sequence of Rolls LeetCode Solution in Python

    def shortestSequence(self, rolls, k):
        res = 1
        s = set()
        for a in rolls:
            s.add(a)
            if len(s) == k:
                res += 1
                s.clear()
        return res

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