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Problem: Unique Paths

Medium
30 min
Explore methods to determine the total number of unique paths from the top-left to the bottom-right of a grid when movement is limited to rightward or downward steps. This lesson helps you understand dynamic programming approaches to efficiently solve grid traversal problems often encountered in coding interviews.

Statement

Imagine a scenario where an adventurous little robot, named Robi, has a mission to traverse a grid with m rows and n columns and reach a treasure box placed at grid[m1][n1]grid[m-1][n-1]. Robi starts the journey from its home in the top-left corner of the grid, grid[0][0]grid[0][0]. However, it faces a constraint that at any given time, it can only move in either of the two directions: downward or to the right.

Given the two integers, m and n, return the total number of unique paths that Robi can take from the grid's top-left corner to reach the bottom-right corner of the grid.

Constraints:

  • \leq mn \leq 100

Problem
Ask
Submissions

Problem: Unique Paths

Medium
30 min
Explore methods to determine the total number of unique paths from the top-left to the bottom-right of a grid when movement is limited to rightward or downward steps. This lesson helps you understand dynamic programming approaches to efficiently solve grid traversal problems often encountered in coding interviews.

Statement

Imagine a scenario where an adventurous little robot, named Robi, has a mission to traverse a grid with m rows and n columns and reach a treasure box placed at grid[m1][n1]grid[m-1][n-1]. Robi starts the journey from its home in the top-left corner of the grid, grid[0][0]grid[0][0]. However, it faces a constraint that at any given time, it can only move in either of the two directions: downward or to the right.

Given the two integers, m and n, return the total number of unique paths that Robi can take from the grid's top-left corner to reach the bottom-right corner of the grid.

Constraints:

  • \leq mn \leq 100