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Practice Dice Roll Simulation

Read the task, work through the examples, and check your approach against the constraints. Use the original LeetCode task for coding and submissions.

Hard#1223
LeetCode Problem

Dice Roll Simulation

Problem Statement

A die simulator generates a random number from 1 to 6 for each roll. You introduced a constraint to the generator such that it cannot roll the number i more than rollMax[i] (1-indexed) consecutive times. Given an array of integers rollMax and an integer n, return the number of distinct sequences that can be obtained with exact n rolls. Since the answer may be too large, return it modulo 10^9 + 7. Two sequences are considered different if at least one element differs from each other.

Source: Dice Roll Simulation on LeetCode. Use the original task for its coding environment and submissions.

Examples

# Example 1

Input
n = 2, rollMax = [1,1,2,2,2,3]
Output
34

# Example 2

Input
n = 2, rollMax = [1,1,1,1,1,1]
Output
30

# Example 3

Input
n = 3, rollMax = [1,1,1,2,2,3]
Output
181

Constraints

1 <= n <= 5000
rollMax.length == 6
1 <= rollMax[i] <= 15

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