
def 		_UpperCAmelCase   (	):






	"""simple docstring"""


	for n in range(1			,							1_0_0_0_0_0_0  ):
		yield n * (n + 1) // 2






def 		_UpperCAmelCase   (	UpperCamelCase:     Optional[int]  ):






	"""simple docstring"""


	__lowerCAmelCase         =							1
	__lowerCAmelCase         =							2
	while i * i <= n:
		__lowerCAmelCase         =							0
		while n % i == 0:
			n //= i
			multiplicity += 1
		divisors_count *= multiplicity + 1
		i += 1
	if n > 1:
		divisors_count *= 2
	return divisors_count






def 		_UpperCAmelCase   (	):






	"""simple docstring"""


	return next(i for i in triangle_number_generator() if count_divisors(UpperCamelCase  ) > 5_0_0  )


if __name__ == "__main__":
					print(solution())








import math
import sys






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


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






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							{"0": "0", "1": "1"}
	__lowerCAmelCase   ,						__lowerCAmelCase         =							"", ""
	__lowerCAmelCase         =							len(UpperCamelCase  )

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

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

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

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






def 		_UpperCAmelCase   (	UpperCamelCase:     str			,							UpperCamelCase:     str  ):






	"""simple docstring"""


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

			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(UpperCamelCase			,							2  ).to_bytes(1			,							byteorder="big"  )  )
	except OSError:
		print("File not accessible"  )
		sys.exit()






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


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

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






def 		_UpperCAmelCase   (	UpperCamelCase:     str			,							UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							read_file_binary(UpperCamelCase  )
	__lowerCAmelCase         =							remove_prefix(UpperCamelCase  )
	__lowerCAmelCase         =							decompress_data(UpperCamelCase  )
	write_file_binary(UpperCamelCase			,							UpperCamelCase  )


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






