





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



def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							Iterable[str]    ,						SCREAMING_SNAKE_CASE       :							int   ):


							'''simple docstring'''







							__lowerCamelCase      :      str         =iter(SCREAMING_SNAKE_CASE   )
							while True:
														__lowerCamelCase      :      Dict         =tuple(itertools.islice(SCREAMING_SNAKE_CASE    ,						SCREAMING_SNAKE_CASE   )   )
														if not chunk:
																					return
														yield chunk



def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							str   ):


							'''simple docstring'''







							__lowerCamelCase      :      Optional[Any]         =''''''.join([c.upper() for c in dirty if c in string.ascii_letters]   )
							__lowerCamelCase      :      List[str]         =''''''

							if len(SCREAMING_SNAKE_CASE   ) < 2:
														return dirty

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

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

							clean += dirty[-1]

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

							return clean



def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							str   ):


							'''simple docstring'''







							__lowerCamelCase      :      Dict         ='''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
							__lowerCamelCase      :      str         =[]

							# 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(SCREAMING_SNAKE_CASE   )

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

							return table



def 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							str    ,						SCREAMING_SNAKE_CASE       :							str   ):


							'''simple docstring'''







							__lowerCamelCase      :      Dict         =generate_table(SCREAMING_SNAKE_CASE   )
							__lowerCamelCase      :      List[Any]         =prepare_input(SCREAMING_SNAKE_CASE   )
							__lowerCamelCase      :      Optional[int]         =''''''

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


							'''simple docstring'''







							__lowerCamelCase      :      Any         =generate_table(SCREAMING_SNAKE_CASE   )
							__lowerCamelCase      :      Optional[Any]         =''''''

							# https://en.wikipedia.org/wiki/Playfair_cipher#Description
							for chara, chara in chunker(SCREAMING_SNAKE_CASE    ,						2   ):
														__lowerCamelCase      :      Tuple         =divmod(table.index(SCREAMING_SNAKE_CASE   )    ,						5   )
														__lowerCamelCase      :      Tuple         =divmod(table.index(SCREAMING_SNAKE_CASE   )    ,						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 				lowerCAmelCase_			(      SCREAMING_SNAKE_CASE       :							list    ,						SCREAMING_SNAKE_CASE       :							list    ,						SCREAMING_SNAKE_CASE       :							int   ):


							'''simple docstring'''







							__lowerCamelCase      :      Optional[Any]         =len(SCREAMING_SNAKE_CASE   )
							__lowerCamelCase      :      Union[str, Any]         =[[0] * n for i in range(SCREAMING_SNAKE_CASE   )]
							for i in range(SCREAMING_SNAKE_CASE   ):
														__lowerCamelCase      :      Union[str, Any]         =y_points[i]

							for i in range(2    ,						SCREAMING_SNAKE_CASE   ):
														for j in range(SCREAMING_SNAKE_CASE    ,						SCREAMING_SNAKE_CASE   ):
																					__lowerCamelCase      :      List[Any]         =(
																					    (xa - x_points[j - i + 1]) * q[j][i - 1]
																					    - (xa - x_points[j]) * q[j - 1][i - 1]
																					) / (x_points[j] - x_points[j - i + 1])

							return [q[n - 1][n - 1], q]


if __name__ == "__main__":
							import doctest

							doctest.testmod()




