
'''simple docstring'''




from typing import Any







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							):




    '''simple docstring'''



    _validation(
        snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							)
    # Creates data structures and fill initial step
    A			:  dict   =		{}
    A			:  dict   =		{}
    for state in states_space:
        A			:  List[str]   =		observations_space[0]
        A			:  int   =		(
            initial_probabilities[state] * emission_probabilities[state][observation]
        )
        A			:  Tuple   =		None

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

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

            A			:  str   =		arg_max

    # The final observation
    A			:  Optional[int]   =		observations_space[len(snake_case__		) - 1]

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

    # Process pointers backwards
    A			:  str   =		last_state
    A			:  Optional[int]   =		[]
    for o in range(len(snake_case__		) - 1						,							-1						,							-1		):
        result.append(snake_case__		)
        A			:  Any   =		pointers[previous, observations_space[o]]
    result.reverse()

    return result







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							):




    '''simple docstring'''



    _validate_not_empty(
        snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							)
    _validate_lists(snake_case__						,							snake_case__		)
    _validate_dicts(
        snake_case__						,							snake_case__						,							snake_case__		)







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							snake_case__						,							):




    '''simple docstring'''



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







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



    _validate_list(snake_case__						,							'''observations_space'''		)
    _validate_list(snake_case__						,							'''states_space'''		)







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



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







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__						,							):




    '''simple docstring'''



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







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



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







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__						,							snake_case__ = False		):




    '''simple docstring'''



    if not isinstance(_object						,							snake_case__		):
        A			:  int   =		F'{var_name} must be a dict'
        raise ValueError(snake_case__		)
    if not all(isinstance(snake_case__						,							snake_case__		) for x in _object		):
        A			:  Tuple   =		F'{var_name} all keys must be strings'
        raise ValueError(snake_case__		)
    if not all(isinstance(snake_case__						,							snake_case__		) for x in _object.values()		):
        A			:  str   =		'''nested dictionary ''' if nested else ''''''
        A			:  Union[str, Any]   =		F'{var_name} {nested_text}all values must be {value_type.__name__}'
        raise ValueError(snake_case__		)


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

      testmod()






'''simple docstring'''




lowercase     :							dict[str, float]       						=     {
    "joule": 1.0,
    "kilojoule": 10_00,
    "megajoule": 1_00_00_00,
    "gigajoule": 10_00_00_00_00,
    "wattsecond": 1.0,
    "watthour": 36_00,
    "kilowatthour": 3_60_00_00,
    "newtonmeter": 1.0,
    "calorie_nutr": 41_86.8,
    "kilocalorie_nutr": 4_18_68_00.00,
    "electronvolt": 1.6_02_17_66_34e-19,
    "britishthermalunit_it": 10_55.0_55_85,
    "footpound": 1.35_58_18,
}







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__						,							snake_case__		):




    '''simple docstring'''



    if to_type not in ENERGY_CONVERSION or from_type not in ENERGY_CONVERSION:
        A			:  int   =		(
            F'Incorrect \'from_type\' or \'to_type\' value: {from_type!r}, {to_type!r}\n'
            F'Valid values are: {", ".join(snake_case__		)}'
        )
        raise ValueError(snake_case__		)
    return value * ENERGY_CONVERSION[from_type] / ENERGY_CONVERSION[to_type]


if __name__ == "__main__":
      import doctest

      doctest.testmod()




