

'''simple docstring'''







from __future__ import annotations

import math
def    UpperCAmelCase__     (   UpperCAmelCase__,							UpperCAmelCase__					)      ->      float:
       A_						       =   u
       for i in range(1,							UpperCAmelCase__					):
              A_						       =   temp * (u - i)
       return temp
def    UpperCAmelCase__     (   )      ->      None:
       A_						       =   int(input("""enter the numbers of values: """					)					)
       A_						       =   []
       for _ in range(UpperCAmelCase__					):
              y.append([]					)
       for i in range(UpperCAmelCase__					):
              for j in range(UpperCAmelCase__					):
                     y[i].append(UpperCAmelCase__					)
                     A_						       =   0

       print("""enter the values of parameters in a list: """					)
       A_						       =   list(map(UpperCAmelCase__,							input().split()					)					)

       print("""enter the values of corresponding parameters: """					)
       for i in range(UpperCAmelCase__					):
              A_						       =   float(input()					)

       A_						       =   int(input("""enter the value to interpolate: """					)					)
       A_						       =   (value - x[0]) / (x[1] - x[0])

       # for calculating forward difference table

       for i in range(1,							UpperCAmelCase__					):
              for j in range(n - i					):
                     A_						       =   y[j + 1][i - 1] - y[j][i - 1]

       A_						       =   y[0][0]
       for i in range(1,							UpperCAmelCase__					):
              summ += (ucal(UpperCAmelCase__,							UpperCAmelCase__					) * y[0][i]) / math.factorial(UpperCAmelCase__					)

       print(F'''the value at {value} is {summ}'''					)


if __name__ == "__main__":
      main()



'''simple docstring'''







import pytest

import datasets


# Import fixture modules as plugins
__lowerCamelCase									=     ['''tests.fixtures.files''', '''tests.fixtures.hub''', '''tests.fixtures.fsspec''']
def    UpperCAmelCase__     (   UpperCAmelCase__,							UpperCAmelCase__					)      ->      Optional[int]:
       # Mark tests as "unit" by default if not marked as "integration" (or already marked as "unit")
       for item in items:
              if any(marker in item.keywords for marker in ["""integration""", """unit"""]					):
                     continue
              item.add_marker(pytest.mark.unit					)
def    UpperCAmelCase__     (   UpperCAmelCase__					)      ->      Tuple:
       config.addinivalue_line("""markers""",							"""torchaudio_latest: mark test to run with torchaudio>=0.12"""					)
@pytest.fixture(autouse=UpperCAmelCase__					)
def    UpperCAmelCase__     (   UpperCAmelCase__,							UpperCAmelCase__					)      ->      int:
       # test_hf_cache_home = tmp_path_factory.mktemp("cache")  # TODO: why a cache dir per test function does not work?
       A_						       =   tmp_path_factory.getbasetemp() / """cache"""
       A_						       =   test_hf_cache_home / """datasets"""
       A_						       =   test_hf_cache_home / """metrics"""
       A_						       =   test_hf_cache_home / """modules"""
       monkeypatch.setattr("""datasets.config.HF_DATASETS_CACHE""",							str(UpperCAmelCase__					)					)
       monkeypatch.setattr("""datasets.config.HF_METRICS_CACHE""",							str(UpperCAmelCase__					)					)
       monkeypatch.setattr("""datasets.config.HF_MODULES_CACHE""",							str(UpperCAmelCase__					)					)
       A_						       =   test_hf_datasets_cache / """downloads"""
       monkeypatch.setattr("""datasets.config.DOWNLOADED_DATASETS_PATH""",							str(UpperCAmelCase__					)					)
       A_						       =   test_hf_datasets_cache / """downloads""" / """extracted"""
       monkeypatch.setattr("""datasets.config.EXTRACTED_DATASETS_PATH""",							str(UpperCAmelCase__					)					)
@pytest.fixture(autouse=UpperCAmelCase__,							scope="""session"""					)
def    UpperCAmelCase__     (   )      ->      str:
       datasets.disable_progress_bar()
@pytest.fixture(autouse=UpperCAmelCase__					)
def    UpperCAmelCase__     (   UpperCAmelCase__					)      ->      Tuple:
       # don't take tests into account when counting downloads
       monkeypatch.setattr("""datasets.config.HF_UPDATE_DOWNLOAD_COUNTS""",							UpperCAmelCase__					)







@pytest.fixture
def    UpperCAmelCase__     (   UpperCAmelCase__					)      ->      Any:
       # Required to suppress RemovedIn20Warning when feature(s) are not compatible with SQLAlchemy 2.0
       # To be removed once SQLAlchemy 2.0 supported
       monkeypatch.setattr("""sqlalchemy.util.deprecations.SILENCE_UBER_WARNING""",							UpperCAmelCase__					)
