Unique Paths
Unique Paths
A robot is positioned on an m x n grid at the top-left corner (grid[0][0]). The robot's goal is to reach the bottom-right corner (grid[m - 1][n - 1]). At any point, the robot can only move one step either down or right.
Given the dimensions of the grid, m and n, calculate and return the total number of distinct paths the robot can take to reach the destination. The problem guarantees that the total number of unique paths will not exceed 2 * 10^9.
Constraints:
1 <= m, n <= 100
Similar LeetCode problem: Unique Paths
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Efficiently calculating combinations or paths in a constrained grid without redundant computation, balancing algorithmic complexity with potential for large input sizes.
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Unique Paths
Unique Paths
A robot is positioned on an m x n grid at the top-left corner (grid[0][0]). The robot's goal is to reach the bottom-right corner (grid[m - 1][n - 1]). At any point, the robot can only move one step either down or right.
Given the dimensions of the grid, m and n, calculate and return the total number of distinct paths the robot can take to reach the destination. The problem guarantees that the total number of unique paths will not exceed 2 * 10^9.
Constraints:
1 <= m, n <= 100
Similar LeetCode problem: Unique Paths