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How to Solve Minimum Falling Path Sum Problem
Master the Minimum Falling Path Sum LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#931
LeetCode ProblemMinimum Falling Path Sum
Given an n x n array of integers matrix, return the minimum sum of any falling path through matrix. A falling path starts at any element in the first row and chooses the element in the next row that is either directly below or diagonally left/right. Specifically, the next element from position (row, col) will be (row + 1, col - 1), (row + 1, col), or (row + 1, col + 1).
ArrayDynamic ProgrammingMatrix
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Problem Breakdown
Understanding the Minimum Falling Path Sum Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given an n x n array of integers matrix, return the minimum sum of any falling path through matrix. A falling path starts at any element in the first row and chooses the element in the next row that is either directly below or diagonally left/right. Specifically, the next element from position (row, col) will be (row + 1, col - 1), (row + 1, col), or (row + 1, col + 1).
MediumProblem #931
LeetCodeMinimum Falling Path Sum
Related Topics
ArrayDynamic ProgrammingMatrix
How Phantom Code Helps
Get real-time assistance for Minimum Falling Path Sum problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
matrix = [[2,1,3],[6,5,4],[7,8,9]]
Output
13
# Example 2
Input
matrix = [[-19,57],[-40,-5]]
Output
-59
Constraints
n == matrix.length == matrix[i].length
1 <= n <= 100
-100 <= matrix[i][j] <= 100
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Solve Minimum Falling Path Sum — Given an n x n array of integers matrix, return the minimum sum of any falling p...
Here's the optimal approach using Array:
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 Minimum Falling Path Sum and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Minimum Falling Path Sum 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 Minimum Falling Path Sum?
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 Minimum Falling Path Sum?
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 Minimum Falling Path Sum 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 Minimum Falling Path Sum 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 Minimum Falling Path Sum 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 Minimum Falling Path Sum 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 Minimum Falling Path Sum 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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