
'''simple docstring'''





from typing import Any

def      A (       A_							:					list    ,							A_							:					list    ,							A_							:					dict    ,							A_							:					dict    ,							A_							:					dict    ,							):
						_validation(
						    A_    ,							A_    ,							A_    ,							A_    ,							A_    ,							)
						# Creates data structures and fill initial step
						snake_case       :     dict =    {}
						snake_case       :     dict =    {}
						for state in states_space:
												snake_case       :     Optional[int] =    observations_space[0]
												snake_case       :     int =    (
												    initial_probabilities[state] * emission_probabilities[state][observation]
												)
												snake_case       :     int =    None

						# Fills the data structure with the probabilities of
						# different transitions and pointers to previous states
						for o in range(1    ,							len(A_       )       ):
												snake_case       :     int =    observations_space[o]
												snake_case       :     Any =    observations_space[o - 1]
												for state in states_space:
																		# Calculates the argmax for probability function
																		snake_case       :     Union[str, Any] =    ''''''
																		snake_case       :     Optional[Any] =    -1
																		for k_state in states_space:
																								snake_case       :     Optional[Any] =    (
																								    probabilities[(k_state, prior_observation)]
																								    * transition_probabilities[k_state][state]
																								    * emission_probabilities[state][observation]
																								)
																								if probability > max_probability:
																														snake_case       :     List[Any] =    probability
																														snake_case       :     Tuple =    k_state

            # Update probabilities and pointers dicts
																		snake_case       :     Union[str, Any] =    (
																		    probabilities[(arg_max, prior_observation)]
																		    * transition_probabilities[arg_max][state]
																		    * emission_probabilities[state][observation]
																		)

																		snake_case       :     Union[str, Any] =    arg_max

    # The final observation
						snake_case       :     List[str] =    observations_space[len(A_       ) - 1]

						# argmax for given final observation
						snake_case       :     Union[str, Any] =    ''''''
						snake_case       :     int =    -1
						for k_state in states_space:
												snake_case       :     Any =    probabilities[(k_state, final_observation)]
												if probability > max_probability:
																		snake_case       :     Optional[int] =    probability
																		snake_case       :     Any =    k_state
						snake_case       :     Optional[Any] =    arg_max

						# Process pointers backwards
						snake_case       :     List[Any] =    last_state
						snake_case       :     Any =    []
						for o in range(len(A_       ) - 1    ,							-1    ,							-1       ):
												result.append(A_       )
												snake_case       :     Dict =    pointers[previous, observations_space[o]]
						result.reverse()

						return result

def      A (       A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							):
						_validate_not_empty(
						    A_    ,							A_    ,							A_    ,							A_    ,							A_    ,							)
						_validate_lists(A_    ,							A_       )
						_validate_dicts(
						    A_    ,							A_    ,							A_       )

def      A (       A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							):
						if not all(
						    [
						        observations_space,
						        states_space,
						        initial_probabilities,
						        transition_probabilities,
						        emission_probabilities,
						    ]       ):
												raise ValueError('''There\'s an empty parameter'''       )

def      A (       A_							:					Any    ,							A_							:					Any       ):
						_validate_list(A_    ,							'''observations_space'''       )
						_validate_list(A_    ,							'''states_space'''       )

def      A (       A_							:					Any    ,							A_							:					str       ):
						if not isinstance(_object    ,							A_       ):
												snake_case       :     List[str] =    F"""{var_name} must be a list"""
												raise ValueError(A_       )
						else:
												for x in _object:
																		if not isinstance(A_    ,							A_       ):
																								snake_case       :     Dict =    F"""{var_name} must be a list of strings"""
																								raise ValueError(A_       )

def      A (       A_							:					Any    ,							A_							:					Any    ,							A_							:					Any    ,							):
						_validate_dict(A_    ,							'''initial_probabilities'''    ,							A_       )
						_validate_nested_dict(A_    ,							'''transition_probabilities'''       )
						_validate_nested_dict(A_    ,							'''emission_probabilities'''       )

def      A (       A_							:					Any    ,							A_							:					str       ):
						_validate_dict(_object    ,							A_    ,							A_       )
						for x in _object.values():
												_validate_dict(A_    ,							A_    ,							A_    ,							A_       )

def      A (       A_							:					Any    ,							A_							:					str    ,							A_							:					type    ,							A_							:					bool = False       ):
						if not isinstance(_object    ,							A_       ):
												snake_case       :     int =    F"""{var_name} must be a dict"""
												raise ValueError(A_       )
						if not all(isinstance(A_    ,							A_       ) for x in _object       ):
												snake_case       :     str =    F"""{var_name} all keys must be strings"""
												raise ValueError(A_       )
						if not all(isinstance(A_    ,							A_       ) for x in _object.values()       ):
												snake_case       :     str =    '''nested dictionary ''' if nested else ''''''
												snake_case       :     Tuple =    F"""{var_name} {nested_text}all values must be {value_type.__name__}"""
												raise ValueError(A_       )


if __name__ == "__main__":
						from doctest import testmod

						testmod()



'''simple docstring'''





import pytest

from datasets import inspect_metric, list_metrics, load_metric

@pytest.fixture
def      A (       A_							:					str       ):
						monkeypatch.setattr('''datasets.utils.deprecation_utils._emitted_deprecation_warnings'''    ,							set()       )

@pytest.fixture
def      A (       A_							:					Optional[Any]       ):

						class 						a   :




										def __init__(							self	:				List[str],    SCREAMING_SNAKE_CASE_	:				Optional[Any]      ):
																snake_case       :     List[str] =    metric_id




						class 						a   :
										_snake_case		    = [MetricMock(__magic_name__    ) for metric_id in ['''accuracy''', '''mse''', '''precision''', '''codeparrot/apps_metric''']]




										def 	__snake_case							(							self	:				str      ):
																return self._metrics




						monkeypatch.setattr('''datasets.inspect.huggingface_hub'''    ,							HfhMock()       )





@pytest.mark.parametrize(
    '''func, args'''    ,							[(load_metric, ('''metrics/mse''',)), (list_metrics, ()), (inspect_metric, ('''metrics/mse''', '''tmp_path'''))]       )
def      A (       A_							:					str    ,							A_							:					Dict    ,							A_							:					int    ,							A_							:					int    ,							A_							:					str       ):
						if "tmp_path" in args:
												snake_case       :     List[str] =    tuple(arg if arg != '''tmp_path''' else tmp_path for arg in args       )
						with pytest.warns(A_    ,							match='''https://huggingface.co/docs/evaluate'''       ):
												func(*A_       )

