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How to Solve Painting a Grid With Three Different Colors Problem
Master the Painting a Grid With Three Different Colors LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#1931
LeetCode ProblemPainting a Grid With Three Different Colors
You are given two integers m and n. Consider an m x n grid where each cell is initially white. You can paint each cell red, green, or blue. All cells must be painted. Return the number of ways to color the grid with no two adjacent cells having the same color. Since the answer can be very large, return it modulo 109 + 7.
Dynamic Programming
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Problem Breakdown
Understanding the Painting a Grid With Three Different Colors Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given two integers m and n. Consider an m x n grid where each cell is initially white. You can paint each cell red, green, or blue. All cells must be painted. Return the number of ways to color the grid with no two adjacent cells having the same color. Since the answer can be very large, return it modulo 109 + 7.
HardProblem #1931
LeetCodePainting a Grid With Three Different Colors
Related Topics
Dynamic Programming
How Phantom Code Helps
Get real-time assistance for Painting a Grid With Three Different Colors problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
m = 1, n = 1
Output
3
# Example 2
Input
m = 1, n = 2
Output
6
# Example 3
Input
m = 5, n = 5
Output
580986
Constraints
1 <= m <= 5
1 <= n <= 1000
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Solve Painting a Grid With Three Different Colors — You are given two integers m and n. Consider an m x n grid where each cell is in...
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 Painting a Grid With Three Different Colors and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Painting a Grid With Three Different Colors 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 Painting a Grid With Three Different Colors?
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 Painting a Grid With Three Different Colors?
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 Painting a Grid With Three Different Colors 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 Painting a Grid With Three Different Colors 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 Painting a Grid With Three Different Colors 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 Painting a Grid With Three Different Colors 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 Painting a Grid With Three Different Colors 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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