Search⌘ K
AI Features
Home
Courses
Grokking the Coding Interview Patterns

Longest Increasing Path in a Matrix

Explore how to determine the longest strictly increasing path in a matrix by moving up, down, left, or right. Understand problem constraints and apply dynamic programming techniques such as memoization and tabulation to efficiently solve this challenging problem.

We'll cover the following...

Statement

You are given an m×nm × n matrix of integers. Your task is to determine the length of the longest strictly increasing path within the matrix.

A path is defined by consecutively moving from one cell to another adjacent cell. From any cell, movement is allowed only in four directions: up, down, left and right.

Diagonal movement is not allowed. You also cannot move outside the matrix boundaries (no wrap-around).

A path is considered increasing if each ...