



import math
import sys






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str):





				'''simple docstring'''

				lowerCAmelCase__  :       Tuple				=  ''''''
				try:
								with open(lowerCamelCase_ ,'''rb''') as binary_file:
												lowerCAmelCase__  :       Optional[Any]				=  binary_file.read()
								for dat in data:
												lowerCAmelCase__  :       Optional[Any]				=  f"""{dat:08b}"""
												result += curr_byte
								return result
				except OSError:
								print('''File not accessible''')
								sys.exit()






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str):





				'''simple docstring'''

				lowerCAmelCase__  :       str				=  {'''0''': '''0''', '''1''': '''1'''}
				lowerCAmelCase__		,	lowerCAmelCase__  :       Union[str, Any]				=  '''''', ''''''
				lowerCAmelCase__  :       Tuple				=  len(lowerCamelCase_)

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

								lowerCAmelCase__  :       Any				=  lexicon[curr_string]
								result += last_match_id
								lowerCAmelCase__  :       str				=  last_match_id + '''0'''

								if math.loga(lowerCamelCase_).is_integer():
												lowerCAmelCase__  :       Union[str, Any]				=  {}
												for curr_key in list(lowerCamelCase_):
																lowerCAmelCase__  :       Optional[Any]				=  lexicon.pop(lowerCamelCase_)
												lowerCAmelCase__  :       Any				=  new_lex

								lowerCAmelCase__  :       List[Any]				=  last_match_id + '''1'''
								index += 1
								lowerCAmelCase__  :       Tuple				=  ''''''
				return result






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str ,lowerCamelCase_	:	str):





				'''simple docstring'''

				lowerCAmelCase__  :       Optional[Any]				=  8
				try:
								with open(lowerCamelCase_ ,'''wb''') as opened_file:
												lowerCAmelCase__  :       Union[str, Any]				=  [
												    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 			lowerCAmelCase__	(					lowerCamelCase_	:	str):





				'''simple docstring'''

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

				lowerCAmelCase__  :       Any				=  data_bits[counter:]
				lowerCAmelCase__  :       Tuple				=  data_bits[counter + 1 :]
				return data_bits






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str ,lowerCamelCase_	:	str):





				'''simple docstring'''

				lowerCAmelCase__  :       List[str]				=  read_file_binary(lowerCamelCase_)
				lowerCAmelCase__  :       Any				=  remove_prefix(lowerCamelCase_)
				lowerCAmelCase__  :       Any				=  decompress_data(lowerCamelCase_)
				write_file_binary(lowerCamelCase_ ,lowerCamelCase_)


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






from collections.abc import Callable

import numpy as np






def 			lowerCAmelCase__	(					lowerCamelCase_	:	Callable ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float):





				'''simple docstring'''

				lowerCAmelCase__  :       Dict				=  int(np.ceil((x_end - xa) / step_size))
				lowerCAmelCase__  :       Any				=  np.zeros((n + 1,))
				lowerCAmelCase__  :       Union[str, Any]				=  ya
				lowerCAmelCase__  :       str				=  xa

				for k in range(lowerCamelCase_):
								lowerCAmelCase__  :       Tuple				=  y[k] + step_size * ode_func(lowerCamelCase_ ,y[k])
								lowerCAmelCase__  :       str				=  y[k] + (
								    (step_size / 2) * (ode_func(lowerCamelCase_ ,y[k]) + ode_func(x + step_size ,lowerCamelCase_))
								)
								x += step_size

				return y


if __name__ == "__main__":
							import doctest

							doctest.testmod()

