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Regions Cut By Slashes

An n x n grid is composed of 1 x 1 squares where each 1 x 1 square consists of a '/', '\', or blank space ' '.

An n x n grid is composed of 1 x 1 squares where each 1 x 1 square consists of a '/', '', or blank space ' '. These characters divide the square into contiguous regions.

Given the grid grid represented as a string array, return the number of regions.

Note that backslash characters are escaped, so a '' is represented as '\'.

Regions Cut By Slashes diagram

Example 1

Input: grid = [" /","/ "]

Output: 2

Example 2

Input: grid = [" /"," "]

Output: 1

Example 3

Input: grid = ["/\\","\\/"]

Output: 5

Explanation: Recall that because \ characters are escaped, "\\/" refers to \/, and "/\\" refers to /\.

Constraints

  • n == grid.length == grid[i].length
  • 1 <= n <= 30
  • grid[i][j] is either '/', '\', or ' '.

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