
from typing import Any



def 						lowercase_      (       A__			,		A__			,		A__			,		A__			,		A__			,		)							->							list:
    """simple docstring"""

    _validation(
        A__			,		A__			,		A__			,		A__			,		A__			,		)
    # Creates data structures and fill initial step
    snake_case								= {}
    snake_case								= {}
    for state in states_space:
        snake_case								= observations_space[0]
        snake_case								= (
            initial_probabilities[state] * emission_probabilities[state][observation]
        )
        snake_case								= 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								= observations_space[o]
        snake_case								= observations_space[o - 1]
        for state in states_space:
            # Calculates the argmax for probability function
            snake_case								= ""
            snake_case								= -1
            for k_state in states_space:
                snake_case								= (
                    probabilities[(k_state, prior_observation)]
                    * transition_probabilities[k_state][state]
                    * emission_probabilities[state][observation]
                )
                if probability > max_probability:
                    snake_case								= probability
                    snake_case								= k_state

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

            snake_case								= arg_max

    # The final observation
    snake_case								= observations_space[len(A__		) - 1]

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

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

    return result



def 						lowercase_      (       A__			,		A__			,		A__			,		A__			,		A__			,		)							->							None:
    """simple docstring"""

    _validate_not_empty(
        A__			,		A__			,		A__			,		A__			,		A__			,		)
    _validate_lists(A__			,		A__		)
    _validate_dicts(
        A__			,		A__			,		A__		)



def 						lowercase_      (       A__			,		A__			,		A__			,		A__			,		A__			,		)							->							None:
    """simple docstring"""

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



def 						lowercase_      (       A__			,		A__		)							->							None:
    """simple docstring"""

    _validate_list(A__			,		"observations_space"		)
    _validate_list(A__			,		"states_space"		)



def 						lowercase_      (       A__			,		A__		)							->							None:
    """simple docstring"""

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



def 						lowercase_      (       A__			,		A__			,		A__			,		)							->							None:
    """simple docstring"""

    _validate_dict(A__			,		"initial_probabilities"			,		A__		)
    _validate_nested_dict(A__			,		"transition_probabilities"		)
    _validate_nested_dict(A__			,		"emission_probabilities"		)



def 						lowercase_      (       A__			,		A__		)							->							None:
    """simple docstring"""

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



def 						lowercase_      (       A__			,		A__			,		A__			,		A__ = False		)							->							None:
    """simple docstring"""

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


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

   testmod()



from ..utils import DummyObject, requires_backends







class 					lowerCamelCase		(  metaclass=A_  ):
     UpperCAmelCase__    :							Union[str, Any]									=		["onnx"]





     def __init__(self				:   Tuple    ,   *_A				:   Optional[int]    ,   **_A				:   Any       )						->						Dict:
         requires_backends(self    ,   ["onnx"]       )





     @classmethod
     def 		UpperCAmelCase(cls				:   int    ,   *_A				:   Dict    ,   **_A				:   List[Any]       )						->						Optional[Any]:
         requires_backends(cls    ,   ["onnx"]       )





     @classmethod
     def 		UpperCAmelCase(cls				:   Dict    ,   *_A				:   Tuple    ,   **_A				:   Optional[Any]       )						->						int:
         requires_backends(cls    ,   ["onnx"]       )

