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Count Submatrices With Equal Frequency of X and Y

Given a 2D character matrix grid, where grid[i][j] is either 'X', 'Y', or '.', return the number of submatrices that contain:

Given a 2D character matrix grid, where grid[i][j] is either 'X', 'Y', or '.', return the number of submatrices that contain:

Count Submatrices With Equal Frequency of X and Y diagram

Example 1

Input: grid = [["X","Y","."],["Y",".","."]]

Output: 3

Example 2

Input: grid = [["X","X"],["X","Y"]]

Output: 0

Explanation: No submatrix has an equal frequency of 'X' and 'Y' .

Example 3

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

Output: 0

Explanation: No submatrix has at least one 'X' .

Constraints

  • 1 <= grid.length, grid[i].length <= 1000
  • grid[i][j] is either 'X', 'Y', or '.'.

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