





'''simple docstring'''







def    __UpperCamelCase	(	a    : str					,   a    : str     ) ->bool:
 snake_case				=			len(a     ) + 1
 snake_case				=			len(a     ) + 1

 # dp is a 2d matrix where dp[i][j] denotes whether prefix string of
 # length i of input_string matches with prefix string of length j of
 # given pattern.
 # "dp" stands for dynamic programming.
 snake_case				=			[[0 for i in range(a     )] for j in range(a     )]

 # since string of zero length match pattern of zero length
 snake_case				=			1

 # since pattern of zero length will never match with string of non-zero length
 for i in range(1					,   a     ):
  snake_case				=			0

 # since string of zero length will match with pattern where there
 # is at least one * alternatively
 for j in range(1					,   a     ):
  snake_case				=			dp[0][j - 2] if pattern[j - 1] == '''*''' else 0

 # now using bottom-up approach to find for all remaining lengths
 for i in range(1					,   a     ):
  for j in range(1					,   a     ):
   if input_string[i - 1] == pattern[j - 1] or pattern[j - 1] == ".":
    snake_case				=			dp[i - 1][j - 1]

   elif pattern[j - 1] == "*":
    if dp[i][j - 2] == 1:
     snake_case				=			1
    elif pattern[j - 2] in (input_string[i - 1], "."):
     snake_case				=			dp[i - 1][j]
    else:
     snake_case				=			0
   else:
    snake_case				=			0

 return bool(dp[-1][-1]     )


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   # inputing the strings
   # input_string = input("input a string :")
   # pattern = input("input a pattern :")

   _lowercase       						=			'aab'
   _lowercase       						=			'c*a*b'

   # using function to check whether given string matches the given pattern
   if match_pattern(input_string, pattern):
      print(f'{input_string} matches the given pattern {pattern}')
   else:
      print(f'{input_string} does not match with the given pattern {pattern}')








'''simple docstring'''







from __future__ import annotations

from collections.abc import Iterator
class 			_lowercase						:







     def __init__( self    ,   A__    ) ->	None:
      snake_case				=			value
      snake_case				=			None
      snake_case				=			None




class 			_lowercase						:







     def __init__( self    ,   A__    ) ->	None:
      snake_case				=			tree







     def     UpperCamelCase			( self    ,   A__    ) ->	int:
      if node is None:
       return 0
      return node.value + (
          self.depth_first_search(node.left    ) + self.depth_first_search(node.right    )
      )







     def __iter__( self    ) ->	Iterator[int]:
      yield self.depth_first_search(self.tree    )


if __name__ == "__main__":
   import doctest

   doctest.testmod()

