


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






def 							__lowercase     (				__lowerCAmelCase							:       Iterable[str]      ,					__lowerCAmelCase							:       int     ):
							a__    =  iter(__lowerCAmelCase     )
							while True:
														a__    =  tuple(itertools.islice(__lowerCAmelCase      ,					__lowerCAmelCase     )     )
														if not chunk:
																					return
														yield chunk






def 							__lowercase     (				__lowerCAmelCase							:       str     ):
							a__    =  ''.join([c.upper() for c in dirty if c in string.ascii_letters]     )
							a__    =  ''

							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 							__lowercase     (				__lowerCAmelCase							:       str     ):
							# I and J are used interchangeably to allow
							# us to use a 5x5 table (25 letters)
							a__    =  '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
							a__    =  []

							# 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 							__lowercase     (				__lowerCAmelCase							:       str      ,					__lowerCAmelCase							:       str     ):
							a__    =  generate_table(__lowerCAmelCase     )
							a__    =  prepare_input(__lowerCAmelCase     )
							a__    =  ''

							# https://en.wikipedia.org/wiki/Playfair_cipher#Description
							for chara, chara in chunker(__lowerCAmelCase      ,					2     ):
														a__   ,      a__    =  divmod(table.index(__lowerCAmelCase     )      ,					5     )
														a__   ,      a__    =  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 							__lowercase     (				__lowerCAmelCase							:       str      ,					__lowerCAmelCase							:       str     ):
							a__    =  generate_table(__lowerCAmelCase     )
							a__    =  ''

							# https://en.wikipedia.org/wiki/Playfair_cipher#Description
							for chara, chara in chunker(__lowerCAmelCase      ,					2     ):
														a__   ,      a__    =  divmod(table.index(__lowerCAmelCase     )      ,					5     )
														a__   ,      a__    =  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








from math import pi






def 							__lowercase     (				__lowerCAmelCase							:       int      ,					__lowerCAmelCase							:       int     ):
							return 2 * pi * radius * (angle / 3_6_0)


if __name__ == "__main__":
						print(arc_length(90, 10))




