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1091-shortest-path-in-binary-matrix.rb
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# frozen_string_literal: true
# https://leetcode.com/problems/shortest-path-in-binary-matrix
# 1091. Shortest Path in Binary Matrix
# Medium
=begin
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:
* All the visited cells of the path are 0.
* All the adjacent cells of the path are 8-directionally connected (i.e., they are different and they share an edge or a corner).
The length of a clear path is the number of visited cells of this path.
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
=end
# @param {Integer[][]} grid
# @return {Integer}
def shortest_path_binary_matrix(grid)
n = grid.count
return -1 if grid[0][0] > 0 || grid[n - 1][n - 1] > 0
q = [[0, 0, 1]]
grid[0][0] = 1
q.each do |i, j, d|
return d if i == n - 1 && j == n - 1
[
[i - 1, j - 1], [i - 1, j],
[i - 1, j + 1], [i, j - 1],
[i, j + 1], [i + 1, j - 1],
[i + 1, j], [i + 1, j + 1]
].each do |x, y|
if 0 <= x && x < n && 0 <= y && y < n && grid[x][y] == 0
grid[x][y] = 1
q << [x, y, d + 1]
end
end
end
-1
end
# **************** #
# TEST #
# **************** #
require "test/unit"
class Test_shortest_path_binary_matrix < Test::Unit::TestCase
def test_
assert_equal(2, shortest_path_binary_matrix([[0, 1], [1, 0]]))
assert_equal(4, shortest_path_binary_matrix([[0, 0, 0], [1, 1, 0], [1, 1, 0]]))
assert_equal(-1, shortest_path_binary_matrix([[1, 0, 0], [1, 1, 0], [1, 1, 0]]))
end
end