





from itertools import count





def  __magic_name__  (				lowercase = 50				)				-> int:

							"""simple docstring"""



							lowercase_	:   Optional[Any]  				=     [1] * min_block_length

							for n in count(lowercase				):
														fill_count_functions.append(1				)

														for block_length in range(lowercase				,       n + 1				):
																					for block_start in range(n - block_length				):
																												fill_count_functions[n] += fill_count_functions[
																												    n - block_start - block_length - 1
																												]

																					fill_count_functions[n] += 1

														if fill_count_functions[n] > 1000000:
																					break

							return n


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






import pytest
import requests

from datasets.utils.file_utils import http_head

from .utils import OfflineSimulationMode, RequestWouldHangIndefinitelyError, offline





@pytest.mark.integration
def  __magic_name__  (				)				-> Union[str, Any]:

							"""simple docstring"""



							with offline(OfflineSimulationMode.CONNECTION_TIMES_OUT				):
														with pytest.raises(lowercase				):
																					requests.request("""GET"""				,       """https://huggingface.co"""				)
														with pytest.raises(requests.exceptions.ConnectTimeout				):
																					requests.request("""GET"""				,       """https://huggingface.co"""				,       timeout=1.0				)





@pytest.mark.integration
def  __magic_name__  (				)				-> Union[str, Any]:

							"""simple docstring"""



							with offline(OfflineSimulationMode.CONNECTION_FAILS				):
														with pytest.raises(requests.exceptions.ConnectionError				):
																					requests.request("""GET"""				,       """https://huggingface.co"""				)





def  __magic_name__  (				)				-> Dict:

							"""simple docstring"""



							with offline(OfflineSimulationMode.HF_DATASETS_OFFLINE_SET_TO_1				):
														with pytest.raises(lowercase				):
																					http_head("""https://huggingface.co"""				)