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How to Solve Maximum Value Sum by Placing Three Rooks I Problem
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LeetCode ProblemMaximum Value Sum by Placing Three Rooks I
You are given a m x n 2D array board representing a chessboard, where board[i][j] represents the value of the cell (i, j). Rooks in the same row or column attack each other. You need to place three rooks on the chessboard such that the rooks do not attack each other. Return the maximum sum of the cell values on which the rooks are placed.
ArrayDynamic ProgrammingMatrixEnumeration
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Problem Breakdown
Understanding the Maximum Value Sum by Placing Three Rooks I Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a m x n 2D array board representing a chessboard, where board[i][j] represents the value of the cell (i, j). Rooks in the same row or column attack each other. You need to place three rooks on the chessboard such that the rooks do not attack each other. Return the maximum sum of the cell values on which the rooks are placed.
HardProblem #3256
LeetCodeMaximum Value Sum by Placing Three Rooks I
Related Topics
ArrayDynamic ProgrammingMatrixEnumeration
How Phantom Code Helps
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Examples
# Example 1
Input
board = [[-3,1,1,1],[-3,1,-3,1],[-3,2,1,1]]
Output
4
# Example 2
Input
board = [[1,2,3],[4,5,6],[7,8,9]]
Output
15
# Example 3
Input
board = [[1,1,1],[1,1,1],[1,1,1]]
Output
3
Constraints
3 <= m == board.length <= 100
3 <= n == board[i].length <= 100
-109 <= board[i][j] <= 109
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Solve Maximum Value Sum by Placing Three Rooks I — You are given a m x n 2D array board representing a chessboard, where board[i][j...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Maximum Value Sum by Placing Three Rooks I and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Maximum Value Sum by Placing Three Rooks I 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.
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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.
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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 Maximum Value Sum by Placing Three Rooks I 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 Maximum Value Sum by Placing Three Rooks I 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 Maximum Value Sum by Placing Three Rooks I 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.
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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 Maximum Value Sum by Placing Three Rooks I interviews?
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