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How to Solve Number of Distinct Roll Sequences Problem
Master the Number of Distinct Roll Sequences LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#2318
LeetCode ProblemNumber of Distinct Roll Sequences
You are given an integer n. You roll a fair 6-sided dice n times. Determine the total number of distinct sequences of rolls possible such that the following conditions are satisfied: Return the total number of distinct sequences possible. Since the answer may be very large, return it modulo 109 + 7. Two sequences are considered distinct if at least one element is different.
Dynamic ProgrammingMemoization
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Problem Breakdown
Understanding the Number of Distinct Roll Sequences Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer n. You roll a fair 6-sided dice n times. Determine the total number of distinct sequences of rolls possible such that the following conditions are satisfied: Return the total number of distinct sequences possible. Since the answer may be very large, return it modulo 109 + 7. Two sequences are considered distinct if at least one element is different.
HardProblem #2318
LeetCodeNumber of Distinct Roll Sequences
Related Topics
Dynamic ProgrammingMemoization
How Phantom Code Helps
Get real-time assistance for Number of Distinct Roll Sequences problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 4
Output
184
# Example 2
Input
n = 2
Output
22
Constraints
1 <= n <= 104
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Solve Number of Distinct Roll Sequences — You are given an integer n. You roll a fair 6-sided dice n times. Determine the ...
Here's the optimal approach using Dynamic Programming:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Number of Distinct Roll Sequences and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Number of Distinct Roll Sequences during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Number of Distinct Roll Sequences?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Number of Distinct Roll Sequences?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Number of Distinct Roll Sequences type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Number of Distinct Roll Sequences interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Number of Distinct Roll Sequences during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Number of Distinct Roll Sequences style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Number of Distinct Roll Sequences interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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