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





def      lowerCamelCase_					(							lowerCamelCase__      ,					lowerCamelCase__       ):
				lowerCamelCase_         =     iter(lowerCamelCase__       )
				while True:
								lowerCamelCase_         =     tuple(itertools.islice(lowerCamelCase__      ,					lowerCamelCase__       )       )
								if not chunk:
												return
								yield chunk





def      lowerCamelCase_					(							lowerCamelCase__       ):
				lowerCamelCase_         =     "".join([c.upper() for c in dirty if c in string.ascii_letters]       )
				lowerCamelCase_         =     ""

				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      lowerCamelCase_					(							lowerCamelCase__       ):
				# I and J are used interchangeably to allow
				# us to use a 5x5 table (25 letters)
				lowerCamelCase_         =     "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_         =     []

				# 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      lowerCamelCase_					(							lowerCamelCase__      ,					lowerCamelCase__       ):
				lowerCamelCase_         =     generate_table(lowerCamelCase__       )
				lowerCamelCase_         =     prepare_input(lowerCamelCase__       )
				lowerCamelCase_         =     ""

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

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





def      lowerCamelCase_					(							lowerCamelCase__       ):
				lowerCamelCase_         =     [True] * max_number
				for i in range(2      ,					isqrt(max_number - 1       ) + 1       ):
								if is_prime[i]:
												for j in range(i**2      ,					lowerCamelCase__      ,					lowerCamelCase__       ):
																lowerCamelCase_         =     False

				return [i for i in range(2      ,					lowerCamelCase__       ) if is_prime[i]]





def      lowerCamelCase_					(							lowerCamelCase__ = 1_0**8       ):
				lowerCamelCase_         =     calculate_prime_numbers(max_number // 2       )

				lowerCamelCase_         =     0
				lowerCamelCase_         =     0
				lowerCamelCase_         =     len(lowerCamelCase__       ) - 1
				while left <= right:
								while prime_numbers[left] * prime_numbers[right] >= max_number:
												right -= 1
								semiprimes_count += right - left + 1
								left += 1

				return semiprimes_count


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


