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How to Solve Maximum Non Negative Product in a Matrix Problem
Master the Maximum Non Negative Product in a Matrix LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#1594
LeetCode ProblemMaximum Non Negative Product in a Matrix
You are given a m x n matrix grid. Initially, you are located at the top-left corner (0, 0), and in each step, you can only move right or down in the matrix. Among all possible paths starting from the top-left corner (0, 0) and ending in the bottom-right corner (m - 1, n - 1), find the path with the maximum non-negative product. The product of a path is the product of all integers in the grid cells visited along the path. Return the maximum non-negative product modulo 109 + 7. If the maximum product is negative, return -1. Notice that the modulo is performed after getting the maximum product.
ArrayDynamic ProgrammingMatrix
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Problem Breakdown
Understanding the Maximum Non Negative Product in a Matrix 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 matrix grid. Initially, you are located at the top-left corner (0, 0), and in each step, you can only move right or down in the matrix. Among all possible paths starting from the top-left corner (0, 0) and ending in the bottom-right corner (m - 1, n - 1), find the path with the maximum non-negative product. The product of a path is the product of all integers in the grid cells visited along the path. Return the maximum non-negative product modulo 109 + 7. If the maximum product is negative, return -1. Notice that the modulo is performed after getting the maximum product.
MediumProblem #1594
LeetCodeMaximum Non Negative Product in a Matrix
Related Topics
ArrayDynamic ProgrammingMatrix
How Phantom Code Helps
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Examples
# Example 1
Input
grid = [[-1,-2,-3],[-2,-3,-3],[-3,-3,-2]]
Output
-1
# Example 2
Input
grid = [[1,-2,1],[1,-2,1],[3,-4,1]]
Output
8
# Example 3
Input
grid = [[1,3],[0,-4]]
Output
0
Constraints
m == grid.length
n == grid[i].length
1 <= m, n <= 15
-4 <= grid[i][j] <= 4
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Solve Maximum Non Negative Product in a Matrix — You are given a m x n matrix grid. Initially, you are located at the top-left co...
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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 Non Negative Product in a Matrix and using Phantom Code during coding interviews.
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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.
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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.
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