mediumBacktrackingPattern: Mixed
Unique Grid Paths Solution
Problem Statement
Given a 2D grid where each cell is marked as either 0 (obstacle) or 1 (safe), find the number of unique paths from the top-left corner to the bottom-right corner. The movement is restricted to only down or right at any point.
Constraints
- The grid size will not exceed 20x20 cells.
- Each cell in the grid will contain either 3 (safe path) or 8 (asteroid field).
- The spacecraft starts at the top left corner and must reach the bottom right corner.
Time: O(m*n) Space: O(m*n)
An optimized approach involves using dynamic programming to store the number of unique paths to each cell, which can be calculated by summing the number of unique paths to the cell above and the cell to the left. This approach has a time complexity of O(m*n), where m and n are the dimensions of the grid.
Run, Test & Submit Code
Ready to practice this challenge? Launch our interactive compilation environment with compiler validation.
Solve on Interactive WorkspaceTested Solutions
No solution code is currently loaded.
Complete this code in the workspace editor.