




from __future__ import annotations

from dataclasses import dataclass
@dataclass
class 						_A :
  _UpperCamelCase       :      float
  _UpperCamelCase       :      TreeNode | None			=      None
  _UpperCamelCase       :      TreeNode | None			=      None






def  snake_case(    __magic_name__   )			->							bool:





     '''simple docstring'''


     def is_valid_tree(__magic_name__   ) -> bool:
          if node is None:
               return True

          if not isinstance(__magic_name__			,		__magic_name__   ):
               return False

          try:
               float(node.data   )
          except (TypeError, ValueError):
               return False

          return is_valid_tree(node.left   ) and is_valid_tree(node.right   )

     if not is_valid_tree(__magic_name__   ):
          raise ValueError(
              '''Each node should be type of TreeNode and data should be float.'''   )

     def is_binary_search_tree_recursive_check(
         __magic_name__			,		__magic_name__			,		__magic_name__   ) -> bool:

          if node is None:
               return True

          return (
              left_bound < node.data < right_bound
              and is_binary_search_tree_recursive_check(node.left			,		__magic_name__			,		node.data   )
              and is_binary_search_tree_recursive_check(
                  node.right			,		node.data			,		__magic_name__   )
          )

     return is_binary_search_tree_recursive_check(__magic_name__			,		-float('''inf'''   )			,		float('''inf'''   )   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()





class 						_A :  # Public class to implement a graph






  def __init__(  self		:     List[Any]				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   None:






       """simple docstring"""







       lowercase :       Tuple       =			row
       lowercase :       Union[str, Any]       =			col
       lowercase :       int       =			graph






  def  __a      (  self		:     List[Any]				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   bool:






       """simple docstring"""







       return (
           0 <= i < self.ROW
           and 0 <= j < self.COL
           and not visited[i][j]
           and self.graph[i][j]
       )






  def  __a      (  self		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   None:






       """simple docstring"""







       lowercase :       List[str]       =			[-1, -1, -1, 0, 0, 1, 1, 1]  # Coordinate order
       lowercase :       Dict       =			[-1, 0, 1, -1, 1, -1, 0, 1]
       lowercase :       Dict       =			True  # Make those cells visited
       for k in range(8				):
            if self.is_safe(i + row_nbr[k]				,						j + col_nbr[k]				,						_A				):
                 self.diffs(i + row_nbr[k]				,						j + col_nbr[k]				,						_A				)






  def  __a      (  self		:     List[str]				)		->   int:  # And finally, count all islands.






       """simple docstring"""







       lowercase :       List[str]       =			[[False for j in range(self.COL				)] for i in range(self.ROW				)]
       lowercase :       Optional[Any]       =			0
       for i in range(self.ROW				):
            for j in range(self.COL				):
                 if visited[i][j] is False and self.graph[i][j] == 1:
                      self.diffs(_A				,						_A				,						_A				)
                      count += 1
       return count