
"""simple docstring"""





def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Any:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )
					if n == 0:
										return 0
					_UpperCamelCase									=    float('''-inf'''      )
					for i in range(1,	n + 1      ):
										_UpperCamelCase									=    max(
										    __snake_case,	prices[i - 1] + naive_cut_rod_recursive(n - i,	__snake_case      )      )

					return max_revue



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Optional[int]:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )
					_UpperCamelCase									=    [float('''-inf'''      ) for _ in range(n + 1      )]
					return _top_down_cut_rod_recursive(__snake_case,	__snake_case,	__snake_case      )



def  lowerCamelCase__						(     __snake_case,	__snake_case,	__snake_case      )				->						str:


					"""simple docstring"""





					if max_rev[n] >= 0:
										return max_rev[n]
					elif n == 0:
										return 0
					else:
										_UpperCamelCase									=    float('''-inf'''      )
										for i in range(1,	n + 1      ):
															_UpperCamelCase									=    max(
															    __snake_case,	prices[i - 1] + _top_down_cut_rod_recursive(n - i,	__snake_case,	__snake_case      ),	)

										_UpperCamelCase									=    max_revenue

					return max_rev[n]



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Optional[int]:


					"""simple docstring"""





					_enforce_args(__snake_case,	__snake_case      )

					# length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
					# length 0.
					_UpperCamelCase									=    [float('''-inf'''      ) for _ in range(n + 1      )]
					_UpperCamelCase									=    0

					for i in range(1,	n + 1      ):
										_UpperCamelCase									=    max_rev[i]
										for j in range(1,	i + 1      ):
															_UpperCamelCase									=    max(__snake_case,	prices[j - 1] + max_rev[i - j]      )

										_UpperCamelCase									=    max_revenue_i

					return max_rev[n]



def  lowerCamelCase__						(     __snake_case,	__snake_case      )				->						Dict:


					"""simple docstring"""





					if n < 0:
										_UpperCamelCase									=    F'''n must be greater than or equal to 0. Got n = {n}'''
										raise ValueError(__snake_case      )

					if n > len(__snake_case      ):
										_UpperCamelCase									=    (
										    '''Each integral piece of rod must have a corresponding price. '''
										    F'''Got n = {n} but length of prices = {len(__snake_case      )}'''
										)
										raise ValueError(__snake_case      )



def  lowerCamelCase__						(     )				->						Optional[int]:


					"""simple docstring"""





					_UpperCamelCase									=    [6, 10, 12, 15, 20, 23]
					_UpperCamelCase									=    len(__snake_case      )

					# the best revenue comes from cutting the rod into 6 pieces, each
					# of length 1 resulting in a revenue of 6 * 6 = 36.
					_UpperCamelCase									=    36

					_UpperCamelCase									=    top_down_cut_rod(__snake_case,	__snake_case      )
					_UpperCamelCase									=    bottom_up_cut_rod(__snake_case,	__snake_case      )
					_UpperCamelCase									=    naive_cut_rod_recursive(__snake_case,	__snake_case      )

					assert expected_max_revenue == max_rev_top_down
					assert max_rev_top_down == max_rev_bottom_up
					assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
				main()








"""simple docstring"""





from datasets.utils.patching import _PatchedModuleObj, patch_submodule

from . import _test_patching



def  lowerCamelCase__						(     )				->						List[str]:


					"""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

					_UpperCamelCase									=    '''__test_patch_submodule_mock__'''
					with patch_submodule(_test_patching,	'''os.path.join''',	__snake_case      ):
										# 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  lowerCamelCase__						(     )				->						List[str]:


					"""simple docstring"""





					assert _test_patching.open is open

					_UpperCamelCase									=    '''__test_patch_submodule_builtin_mock__'''
					# _test_patching has "open" in its globals
					assert _test_patching.open is open
					with patch_submodule(_test_patching,	'''open''',	__snake_case      ):
										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  lowerCamelCase__						(     )				->						Union[str, Any]:


					"""simple docstring"""





					_UpperCamelCase									=    '''__test_patch_submodule_missing_mock__'''
					with patch_submodule(_test_patching,	'''pandas.read_csv''',	__snake_case      ):
										pass



def  lowerCamelCase__						(     )				->						Dict:


					"""simple docstring"""





					_UpperCamelCase									=    '''__test_patch_submodule_missing_builtin_mock__'''
					# _test_patching doesn't have "len" in its globals
					assert getattr(_test_patching,	'''len''',	__snake_case      ) is None
					with patch_submodule(_test_patching,	'''len''',	__snake_case      ):
										assert _test_patching.len is mock
					assert _test_patching.len is len



def  lowerCamelCase__						(     )				->						Tuple:


					"""simple docstring"""





					_UpperCamelCase									=    '''__test_patch_submodule_start_and_stop_mock__'''
					_UpperCamelCase									=    patch_submodule(_test_patching,	'''open''',	__snake_case      )
					assert _test_patching.open is open
					patch.start()
					assert _test_patching.open is mock
					patch.stop()
					assert _test_patching.open is open



def  lowerCamelCase__						(     )				->						Optional[int]:


					"""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

					_UpperCamelCase									=    '''__test_patch_submodule_successive_join__'''
					_UpperCamelCase									=    '''__test_patch_submodule_successive_dirname__'''
					_UpperCamelCase									=    '''__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''',	__snake_case      ):
										with patch_submodule(_test_patching,	'''os.rename''',	__snake_case      ):
															with patch_submodule(_test_patching,	'''os.path.dirname''',	__snake_case      ):
																				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''',	__snake_case      ):
										with patch_submodule(_test_patching,	'''os.path.join''',	__snake_case      ):
															with patch_submodule(_test_patching,	'''os.path.dirname''',	__snake_case      ):
																				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  lowerCamelCase__						(     )				->						str:


					"""simple docstring"""





					_UpperCamelCase									=    '''__test_patch_submodule_doesnt_exist_mock__'''
					with patch_submodule(_test_patching,	'''__module_that_doesn_exist__.__attribute_that_doesn_exist__''',	__snake_case      ):
										pass
					with patch_submodule(_test_patching,	'''os.__attribute_that_doesn_exist__''',	__snake_case      ):
										pass






