




'''simple docstring'''



from datasets.utils.patching import _PatchedModuleObj, patch_submodule

from . import _test_patching




def   lowercase__(			):

      """simple docstring"""






      import os as original_os
      from os import path as original_path
      from os import rename as original_rename
      from os.path import dirname as original_dirname
      from os.path import join as original_join

      assert _test_patching.os is original_os
      assert _test_patching.path is original_path
      assert _test_patching.join is original_join

      assert _test_patching.renamed_os is original_os
      assert _test_patching.renamed_path is original_path
      assert _test_patching.renamed_join is original_join

      SCREAMING_SNAKE_CASE   :      Tuple    					=						'__test_patch_submodule_mock__'
      with patch_submodule(_test_patching      ,'os.path.join'      ,__UpperCamelCase    ):
            # Every way to access os.path.join must be patched, and the rest must stay untouched

            # check os.path.join
            assert isinstance(_test_patching.os      ,_PatchedModuleObj    )
            assert isinstance(_test_patching.os.path      ,_PatchedModuleObj    )
            assert _test_patching.os.path.join is mock

            # check path.join
            assert isinstance(_test_patching.path      ,_PatchedModuleObj    )
            assert _test_patching.path.join is mock

            # check join
            assert _test_patching.join is mock

            # check that the other attributes are untouched
            assert _test_patching.os.rename is original_rename
            assert _test_patching.path.dirname is original_dirname
            assert _test_patching.os.path.dirname is original_dirname

            # Even renamed modules or objects must be patched

            # check renamed_os.path.join
            assert isinstance(_test_patching.renamed_os      ,_PatchedModuleObj    )
            assert isinstance(_test_patching.renamed_os.path      ,_PatchedModuleObj    )
            assert _test_patching.renamed_os.path.join is mock

            # check renamed_path.join
            assert isinstance(_test_patching.renamed_path      ,_PatchedModuleObj    )
            assert _test_patching.renamed_path.join is mock

            # check renamed_join
            assert _test_patching.renamed_join is mock

            # check that the other attributes are untouched
            assert _test_patching.renamed_os.rename is original_rename
            assert _test_patching.renamed_path.dirname is original_dirname
            assert _test_patching.renamed_os.path.dirname is original_dirname

      # check that everthing is back to normal when the patch is over

      assert _test_patching.os is original_os
      assert _test_patching.path is original_path
      assert _test_patching.join is original_join

      assert _test_patching.renamed_os is original_os
      assert _test_patching.renamed_path is original_path
      assert _test_patching.renamed_join is original_join




def   lowercase__(			):

      """simple docstring"""






      assert _test_patching.open is open

      SCREAMING_SNAKE_CASE   :      Tuple    					=						'__test_patch_submodule_builtin_mock__'
      # _test_patching has "open" in its globals
      assert _test_patching.open is open
      with patch_submodule(_test_patching      ,'open'      ,__UpperCamelCase    ):
            assert _test_patching.open is mock

      # check that everthing is back to normal when the patch is over

      assert _test_patching.open is open




def   lowercase__(			):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      Union[str, Any]    					=						'__test_patch_submodule_missing_mock__'
      with patch_submodule(_test_patching      ,'pandas.read_csv'      ,__UpperCamelCase    ):
            pass




def   lowercase__(			):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      Optional[int]    					=						'__test_patch_submodule_missing_builtin_mock__'
      # _test_patching doesn't have "len" in its globals
      assert getattr(_test_patching      ,'len'      ,__UpperCamelCase    ) is None
      with patch_submodule(_test_patching      ,'len'      ,__UpperCamelCase    ):
            assert _test_patching.len is mock
      assert _test_patching.len is len




def   lowercase__(			):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      Optional[Any]    					=						'__test_patch_submodule_start_and_stop_mock__'
      SCREAMING_SNAKE_CASE   :      Optional[Any]    					=						patch_submodule(_test_patching      ,'open'      ,__UpperCamelCase    )
      assert _test_patching.open is open
      patch.start()
      assert _test_patching.open is mock
      patch.stop()
      assert _test_patching.open is open




def   lowercase__(			):

      """simple docstring"""






      from os import rename as original_rename
      from os.path import dirname as original_dirname
      from os.path import join as original_join

      SCREAMING_SNAKE_CASE   :      int    					=						'__test_patch_submodule_successive_join__'
      SCREAMING_SNAKE_CASE   :      int    					=						'__test_patch_submodule_successive_dirname__'
      SCREAMING_SNAKE_CASE   :      List[str]    					=						'__test_patch_submodule_successive_rename__'
      assert _test_patching.os.path.join is original_join
      assert _test_patching.os.path.dirname is original_dirname
      assert _test_patching.os.rename is original_rename

      with patch_submodule(_test_patching      ,'os.path.join'      ,__UpperCamelCase    ):
            with patch_submodule(_test_patching      ,'os.rename'      ,__UpperCamelCase    ):
                  with patch_submodule(_test_patching      ,'os.path.dirname'      ,__UpperCamelCase    ):
                        assert _test_patching.os.path.join is mock_join
                        assert _test_patching.os.path.dirname is mock_dirname
                        assert _test_patching.os.rename is mock_rename

    # try another order
      with patch_submodule(_test_patching      ,'os.rename'      ,__UpperCamelCase    ):
            with patch_submodule(_test_patching      ,'os.path.join'      ,__UpperCamelCase    ):
                  with patch_submodule(_test_patching      ,'os.path.dirname'      ,__UpperCamelCase    ):
                        assert _test_patching.os.path.join is mock_join
                        assert _test_patching.os.path.dirname is mock_dirname
                        assert _test_patching.os.rename is mock_rename

      assert _test_patching.os.path.join is original_join
      assert _test_patching.os.path.dirname is original_dirname
      assert _test_patching.os.rename is original_rename





def   lowercase__(			):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      List[str]    					=						'__test_patch_submodule_doesnt_exist_mock__'
      with patch_submodule(_test_patching      ,'__module_that_doesn_exist__.__attribute_that_doesn_exist__'      ,__UpperCamelCase    ):
            pass
      with patch_submodule(_test_patching      ,'os.__attribute_that_doesn_exist__'      ,__UpperCamelCase    ):
            pass








'''simple docstring'''



def   lowercase__(			__UpperCamelCase:					int = 1_00_00_00    ):

      """simple docstring"""






      SCREAMING_SNAKE_CASE   :      Tuple    					=						[i - 1 for i in range(limit + 1    )]

      for i in range(2      ,limit + 1    ):
            if phi[i] == i - 1:
                  for j in range(2 * i      ,limit + 1      ,__UpperCamelCase    ):
                        phi[j] -= phi[j] // i

      return sum(phi[2 : limit + 1]    )


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


