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Problem: Unique Paths

Medium
30 min
Explore how to calculate the total unique paths a robot can take from the top-left corner to the bottom-right of an m by n grid by moving only right or down. Learn to analyze constraints, implement efficient solutions, and deepen your understanding of grid-based algorithm design.

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 how to calculate the total unique paths a robot can take from the top-left corner to the bottom-right of an m by n grid by moving only right or down. Learn to analyze constraints, implement efficient solutions, and deepen your understanding of grid-based algorithm design.

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