






"""simple docstring"""
def       __UpperCamelCase						(		snake_case__       ):

	if p < 2:
		raise ValueError("""p should not be less than 2!"""       )
	elif p == 2:
		return True

	A_		:    Dict						     = 4
	A_		:    int						     = (1 << p) - 1
	for _ in range(p - 2       ):
		A_		:    Union[str, Any]						     = ((s * s) - 2) % m
	return s == 0


if __name__ == "__main__":
							print(lucas_lehmer_test(7))
							print(lucas_lehmer_test(11))









"""simple docstring"""
import math
import os
import sys






def       __UpperCamelCase						(		snake_case__       ):
	A_		:    Optional[Any]						     = """"""
	try:
		with open(snake_case__ , """rb"""       ) as binary_file:
			A_		:    Union[str, Any]						     = binary_file.read()
		for dat in data:
			A_		:    Dict						     = F"""{dat:08b}"""
			result += curr_byte
		return result
	except OSError:
		print("""File not accessible"""       )
		sys.exit()






def       __UpperCamelCase						(		snake_case__ , snake_case__ , snake_case__ , snake_case__       ):
	lexicon.pop(snake_case__       )
	A_		:    List[str]						     = last_match_id

	if math.loga(snake_case__       ).is_integer():
		for curr_key in lexicon:
			A_		:    Dict						     = """0""" + lexicon[curr_key]

	A_		:    int						     = bin(snake_case__       )[2:]






def       __UpperCamelCase						(		snake_case__       ):
	A_		:    Dict						     = {"""0""": """0""", """1""": """1"""}
	A_     ,  A_		:    Optional[int]						     = """""", """"""
	A_		:    Tuple						     = len(snake_case__       )

	for i in range(len(snake_case__       )       ):
		curr_string += data_bits[i]
		if curr_string not in lexicon:
			continue

		A_		:    List[str]						     = lexicon[curr_string]
		result += last_match_id
		add_key_to_lexicon(snake_case__ , snake_case__ , snake_case__ , snake_case__       )
		index += 1
		A_		:    int						     = """"""

	while curr_string != "" and curr_string not in lexicon:
		curr_string += "0"

	if curr_string != "":
		A_		:    Any						     = lexicon[curr_string]
		result += last_match_id

	return result






def       __UpperCamelCase						(		snake_case__ , snake_case__       ):
	A_		:    Optional[int]						     = os.path.getsize(snake_case__       )
	A_		:    Dict						     = bin(snake_case__       )[2:]
	A_		:    Optional[Any]						     = len(snake_case__       )

	return "0" * (length_length - 1) + file_length_binary + compressed






def       __UpperCamelCase						(		snake_case__ , snake_case__       ):
	A_		:    Tuple						     = 8
	try:
		with open(snake_case__ , """wb"""       ) as opened_file:
			A_		:    Dict						     = [
			    to_write[i : i + byte_length]
			    for i in range(0 , len(snake_case__       ) , snake_case__       )
			]

			if len(result_byte_array[-1]       ) % byte_length == 0:
				result_byte_array.append("""10000000"""       )
			else:
				result_byte_array[-1] += "1" + "0" * (
				    byte_length - len(result_byte_array[-1]       ) - 1
				)

			for elem in result_byte_array:
				opened_file.write(int(snake_case__ , 2       ).to_bytes(1 , byteorder="""big"""       )       )
	except OSError:
		print("""File not accessible"""       )
		sys.exit()






def       __UpperCamelCase						(		snake_case__ , snake_case__       ):
	A_		:    List[str]						     = read_file_binary(snake_case__       )
	A_		:    str						     = compress_data(snake_case__       )
	A_		:    int						     = add_file_length(snake_case__ , snake_case__       )
	write_file_binary(snake_case__ , snake_case__       )


if __name__ == "__main__":
							compress(sys.argv[1], sys.argv[2])

