
import math
import sys


def 							__A(lowerCAmelCase )		->				str:

		"""simple docstring"""






		_UpperCamelCase						    =	""""""
		try:
				with open(lowerCAmelCase						,  """rb""" ) as binary_file:
						_UpperCamelCase						    =	binary_file.read()
				for dat in data:
						_UpperCamelCase						    =	F'{dat:08b}'
						result += curr_byte
				return result
		except OSError:
				print("""File not accessible""" )
				sys.exit()


def 							__A(lowerCAmelCase )		->				str:

		"""simple docstring"""






		_UpperCamelCase						    =	{"""0""": """0""", """1""": """1"""}
		_UpperCamelCase    ,	_UpperCamelCase						    =	"""""", """"""
		_UpperCamelCase						    =	len(lowerCAmelCase )

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

				_UpperCamelCase						    =	lexicon[curr_string]
				result += last_match_id
				_UpperCamelCase						    =	last_match_id + """0"""

				if math.loga(lowerCAmelCase ).is_integer():
						_UpperCamelCase						    =	{}
						for curr_key in list(lowerCAmelCase ):
								_UpperCamelCase						    =	lexicon.pop(lowerCAmelCase )
						_UpperCamelCase						    =	new_lex

				_UpperCamelCase						    =	last_match_id + """1"""
				index += 1
				_UpperCamelCase						    =	""""""
		return result


def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				None:

		"""simple docstring"""






		_UpperCamelCase						    =	8
		try:
				with open(lowerCAmelCase						,  """wb""" ) as opened_file:
						_UpperCamelCase						    =	[
						    to_write[i : i + byte_length]
						    for i in range(0						,  len(lowerCAmelCase )						,  lowerCAmelCase )
						]

						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[:-1]:
								opened_file.write(int(lowerCAmelCase						,  2 ).to_bytes(1						,  byteorder="""big""" ) )
		except OSError:
				print("""File not accessible""" )
				sys.exit()


def 							__A(lowerCAmelCase )		->				str:

		"""simple docstring"""






		_UpperCamelCase						    =	0
		for letter in data_bits:
				if letter == "1":
						break
				counter += 1

		_UpperCamelCase						    =	data_bits[counter:]
		_UpperCamelCase						    =	data_bits[counter + 1 :]
		return data_bits


def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				None:

		"""simple docstring"""






		_UpperCamelCase						    =	read_file_binary(lowerCAmelCase )
		_UpperCamelCase						    =	remove_prefix(lowerCAmelCase )
		_UpperCamelCase						    =	decompress_data(lowerCAmelCase )
		write_file_binary(lowerCAmelCase						,  lowerCAmelCase )


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





def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				tuple[float, float]:

		"""simple docstring"""






		if not len(lowerCAmelCase ) == len(lowerCAmelCase ) == 3:
				raise ValueError("""Please enter a valid equation.""" )
		if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
				raise ValueError("""Both a & b of two equations can't be zero.""" )

		# Extract the coefficients
		_UpperCamelCase    ,	_UpperCamelCase    ,	_UpperCamelCase						    =	equationa
		_UpperCamelCase    ,	_UpperCamelCase    ,	_UpperCamelCase						    =	equationa

		# Calculate the determinants of the matrices
		_UpperCamelCase						    =	aa * ba - aa * ba
		_UpperCamelCase						    =	ca * ba - ca * ba
		_UpperCamelCase						    =	aa * ca - aa * ca

		# Check if the system of linear equations has a solution (using Cramer's rule)
		if determinant == 0:
				if determinant_x == determinant_y == 0:
						raise ValueError("""Infinite solutions. (Consistent system)""" )
				else:
						raise ValueError("""No solution. (Inconsistent system)""" )
		else:
				if determinant_x == determinant_y == 0:
						# Trivial solution (Inconsistent system)
						return (0.0, 0.0)
				else:
						_UpperCamelCase						    =	determinant_x / determinant
						_UpperCamelCase						    =	determinant_y / determinant
						# Non-Trivial Solution (Consistent system)
						return (x, y)



