

import itertools
import string
from collections.abc import Generator, Iterable

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    Iterable[str]	,     SCREAMING_SNAKE_CASE_		:    int			):



     '''simple docstring'''





     lowercase__    :   List[Any]      =       iter(_lowerCamelCase			)
     while True:
          lowercase__    :   Optional[Any]      =       tuple(itertools.islice(_lowerCamelCase	,     _lowerCamelCase			)			)
          if not chunk:
               return
          yield chunk

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    str			):



     '''simple docstring'''





     lowercase__    :   str      =       """""".join([c.upper() for c in dirty if c in string.ascii_letters]			)
     lowercase__    :   Dict      =       """"""

     if len(_lowerCamelCase			) < 2:
          return dirty

     for i in range(len(_lowerCamelCase			) - 1			):
          clean += dirty[i]

          if dirty[i] == dirty[i + 1]:
               clean += "X"

     clean += dirty[-1]

     if len(_lowerCamelCase			) & 1:
          clean += "X"

     return clean

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    str			):



     '''simple docstring'''





     lowercase__    :   Union[str, Any]      =       """ABCDEFGHIKLMNOPQRSTUVWXYZ"""
     # we're using a list instead of a '2d' array because it makes the math
     # for setting up the table and doing the actual encoding/decoding simpler
     lowercase__    :   Tuple      =       []

     # copy key chars into the table if they are in `alphabet` ignoring duplicates
     for char in key.upper():
          if char not in table and char in alphabet:
               table.append(_lowerCamelCase			)

          # fill the rest of the table in with the remaining alphabet chars
     for char in alphabet:
          if char not in table:
               table.append(_lowerCamelCase			)

     return table

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    str	,     SCREAMING_SNAKE_CASE_		:    str			):



     '''simple docstring'''





     lowercase__    :   List[str]      =       generate_table(_lowerCamelCase			)
     lowercase__    :   Union[str, Any]      =       prepare_input(_lowerCamelCase			)
     lowercase__    :   Union[str, Any]      =       """"""

     # https://en.wikipedia.org/wiki/Playfair_cipher#Description
     for chara, chara in chunker(_lowerCamelCase	,     2			):
          lowercase__    :   Optional[Any]      =       divmod(table.index(_lowerCamelCase			)	,     5			)
          lowercase__    :   Dict      =       divmod(table.index(_lowerCamelCase			)	,     5			)

          if rowa == rowa:
               ciphertext += table[rowa * 5 + (cola + 1) % 5]
               ciphertext += table[rowa * 5 + (cola + 1) % 5]
          elif cola == cola:
               ciphertext += table[((rowa + 1) % 5) * 5 + cola]
               ciphertext += table[((rowa + 1) % 5) * 5 + cola]
          else:  # rectangle
               ciphertext += table[rowa * 5 + cola]
               ciphertext += table[rowa * 5 + cola]

     return ciphertext

def 	snake_case__			(    SCREAMING_SNAKE_CASE_		:    str	,     SCREAMING_SNAKE_CASE_		:    str			):



     '''simple docstring'''





     lowercase__    :   Union[str, Any]      =       generate_table(_lowerCamelCase			)
     lowercase__    :   Dict      =       """"""

     # https://en.wikipedia.org/wiki/Playfair_cipher#Description
     for chara, chara in chunker(_lowerCamelCase	,     2			):
          lowercase__    :   Dict      =       divmod(table.index(_lowerCamelCase			)	,     5			)
          lowercase__    :   Union[str, Any]      =       divmod(table.index(_lowerCamelCase			)	,     5			)

          if rowa == rowa:
               plaintext += table[rowa * 5 + (cola - 1) % 5]
               plaintext += table[rowa * 5 + (cola - 1) % 5]
          elif cola == cola:
               plaintext += table[((rowa - 1) % 5) * 5 + cola]
               plaintext += table[((rowa - 1) % 5) * 5 + cola]
          else:  # rectangle
               plaintext += table[rowa * 5 + cola]
               plaintext += table[rowa * 5 + cola]

     return plaintext


"""simple docstring"""




def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int = 50	)       ->      int:
  _lowerCAmelCase						:       int  			=     [1] * (length + 1)

  for row_length in range(3			,length + 1	):
    for block_length in range(3			,row_length + 1	):
      for block_start in range(row_length - block_length	):
        ways_number[row_length] += ways_number[
            row_length - block_start - block_length - 1
        ]

      ways_number[row_length] += 1

  return ways_number[length]


if __name__ == "__main__":
     print(F"""{solution() = }""")




