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How to Solve Shortest Path in Binary Matrix Problem
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Medium#1091
LeetCode ProblemShortest Path in Binary Matrix
Given an n x n binary matrix grid, return the length of the shortest clear path in the matrix. If there is no clear path, return -1. A clear path in a binary matrix is a path from the top-left cell (i.e., (0, 0)) to the bottom-right cell (i.e., (n - 1, n - 1)) such that: The length of a clear path is the number of visited cells of this path.
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Problem Breakdown
Understanding the Shortest Path in Binary Matrix Problem
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Problem Statement
Given an n x n binary matrix grid, return the length of the shortest clear path in the matrix. If there is no clear path, return -1. A clear path in a binary matrix is a path from the top-left cell (i.e., (0, 0)) to the bottom-right cell (i.e., (n - 1, n - 1)) such that: The length of a clear path is the number of visited cells of this path.
MediumProblem #1091
LeetCodeShortest Path in Binary Matrix
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Examples
# Example 1
Input
grid = [[0,1],[1,0]]
Output
2
# Example 2
Input
grid = [[0,0,0],[1,1,0],[1,1,0]]
Output
4
# Example 3
Input
grid = [[1,0,0],[1,1,0],[1,1,0]]
Output
-1
Constraints
n == grid.length
n == grid[i].length
1 <= n <= 100
grid[i][j] is 0 or 1
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Solve Shortest Path in Binary Matrix — Given an n x n binary matrix grid, return the length of the shortest clear path ...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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