


from typing import Any


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      ):


			'''simple docstring'''







			_validation(
			    _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      )
			# Creates data structures and fill initial step
			__lowercase			       = {}
			__lowercase			       = {}
			for state in states_space:
						__lowercase			       = observations_space[0]
						__lowercase			       = (
						    initial_probabilities[state] * emission_probabilities[state][observation]
						)
						__lowercase			       = None

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

            # Update probabilities and pointers dicts
									__lowercase			       = (
									    probabilities[(arg_max, prior_observation)]
									    * transition_probabilities[arg_max][state]
									    * emission_probabilities[state][observation]
									)

									__lowercase			       = arg_max

    # The final observation
			__lowercase			       = observations_space[len(_UpperCamelCase	) - 1]

			# argmax for given final observation
			__lowercase			       = ''''''
			__lowercase			       = -1
			for k_state in states_space:
						__lowercase			       = probabilities[(k_state, final_observation)]
						if probability > max_probability:
									__lowercase			       = probability
									__lowercase			       = k_state
			__lowercase			       = arg_max

			# Process pointers backwards
			__lowercase			       = last_state
			__lowercase			       = []
			for o in range(len(_UpperCamelCase	) - 1							,      -1							,      -1	):
						result.append(_UpperCamelCase	)
						__lowercase			       = pointers[previous, observations_space[o]]
			result.reverse()

			return result


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      ):


			'''simple docstring'''







			_validate_not_empty(
			    _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      )
			_validate_lists(_UpperCamelCase							,      _UpperCamelCase	)
			_validate_dicts(
			    _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase	)


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      ):


			'''simple docstring'''







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


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase	):


			'''simple docstring'''







			_validate_list(_UpperCamelCase							,      '''observations_space'''	)
			_validate_list(_UpperCamelCase							,      '''states_space'''	)


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase	):


			'''simple docstring'''







			if not isinstance(_object							,      _UpperCamelCase	):
						__lowercase			       = F'{var_name} must be a list'
						raise ValueError(_UpperCamelCase	)
			else:
						for x in _object:
									if not isinstance(_UpperCamelCase							,      _UpperCamelCase	):
												__lowercase			       = F'{var_name} must be a list of strings'
												raise ValueError(_UpperCamelCase	)


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      ):


			'''simple docstring'''







			_validate_dict(_UpperCamelCase							,      '''initial_probabilities'''							,      _UpperCamelCase	)
			_validate_nested_dict(_UpperCamelCase							,      '''transition_probabilities'''	)
			_validate_nested_dict(_UpperCamelCase							,      '''emission_probabilities'''	)


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase	):


			'''simple docstring'''







			_validate_dict(_object							,      _UpperCamelCase							,      _UpperCamelCase	)
			for x in _object.values():
						_validate_dict(_UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase	)


def 		lowercase_	(  _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase							,      _UpperCamelCase = False	):


			'''simple docstring'''







			if not isinstance(_object							,      _UpperCamelCase	):
						__lowercase			       = F'{var_name} must be a dict'
						raise ValueError(_UpperCamelCase	)
			if not all(isinstance(_UpperCamelCase							,      _UpperCamelCase	) for x in _object	):
						__lowercase			       = F'{var_name} all keys must be strings'
						raise ValueError(_UpperCamelCase	)
			if not all(isinstance(_UpperCamelCase							,      _UpperCamelCase	) for x in _object.values()	):
						__lowercase			       = '''nested dictionary ''' if nested else ''''''
						__lowercase			       = F'{var_name} {nested_text}all values must be {value_type.__name__}'
						raise ValueError(_UpperCamelCase	)


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

	testmod()






import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Audio, Features, Value
from .base import TaskTemplate
@dataclass(frozen=lowerCAmelCase__					)
class 						lowerCamelCase_							(					lowerCAmelCase__					):



					'''simple docstring'''







					__UpperCAmelCase							  =					field(default="automatic-speech-recognition"  ,  metadata={"include_in_asdict_even_if_is_default": True}					)
					__UpperCAmelCase							  =					Features({"audio": Audio()}					)
					__UpperCAmelCase							  =					Features({"transcription": Value("string"					)}					)
					__UpperCAmelCase							  =					"audio"
					__UpperCAmelCase							  =					"transcription"






					def A   (					self			,							snake_case_    ) ->      Any:







								'''simple docstring'''

								if self.audio_column not in features:
											raise ValueError(F'Column {self.audio_column} is not present in features.'    )
								if not isinstance(features[self.audio_column]			,							snake_case_    ):
											raise ValueError(F'Column {self.audio_column} is not an Audio type.'    )
								__lowercase			       = copy.deepcopy(self    )
								__lowercase			       = self.input_schema.copy()
								__lowercase			       = features[self.audio_column]
								__lowercase			       = input_schema
								return task_template






					@property
					def A   (					self    ) ->      Dict[str, str]:







								'''simple docstring'''

								return {self.audio_column: "audio", self.transcription_column: "transcription"}


