





from typing import Any






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				)		->						list:






				"""simple docstring"""


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

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

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

												snake_case_						:    Tuple				=  arg_max

    # The final observation
				snake_case_						:    Any				=  observations_space[len(_UpperCamelCase ) - 1]

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

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

				return result






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				)		->						None:






				"""simple docstring"""


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






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				)		->						None:






				"""simple docstring"""


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






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase )		->						None:






				"""simple docstring"""


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






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase )		->						None:






				"""simple docstring"""


				if not isinstance(_object ,				_UpperCamelCase ):
								snake_case_						:    Optional[int]				=  f'''{var_name} must be a list'''
								raise ValueError(_UpperCamelCase )
				else:
								for x in _object:
												if not isinstance(_UpperCamelCase ,				_UpperCamelCase ):
																snake_case_						:    Tuple				=  f'''{var_name} must be a list of strings'''
																raise ValueError(_UpperCamelCase )






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				)		->						None:






				"""simple docstring"""


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






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase )		->						None:






				"""simple docstring"""


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






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase = False )		->						None:






				"""simple docstring"""


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


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

	testmod()







lowerCAmelCase_    =				{
    "joule": 1.0,
    "kilojoule": 1_0_0_0,
    "megajoule": 1_0_0_0_0_0_0,
    "gigajoule": 1_0_0_0_0_0_0_0_0_0,
    "wattsecond": 1.0,
    "watthour": 3_6_0_0,
    "kilowatthour": 3_6_0_0_0_0_0,
    "newtonmeter": 1.0,
    "calorie_nutr": 4_1_8_6.8,
    "kilocalorie_nutr": 4_1_8_6_8_0_0.0_0,
    "electronvolt": 1.602_176_634e-19,
    "britishthermalunit_it": 1_0_5_5.0_5_5_8_5,
    "footpound": 1.355_818,
}






def      lowerCamelCase_						(				_UpperCamelCase ,				_UpperCamelCase ,				_UpperCamelCase )		->						float:






				"""simple docstring"""


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


if __name__ == "__main__":
	import doctest

	doctest.testmod()
