





def        __lowerCamelCase (							__a       :Optional[Any]   ,					__a       :Union[str, Any]   ,					__a       :Tuple   ,					__a       :Optional[int]   )		->    bool:






		"""simple docstring"""

		if graph[path[curr_ind - 1]][next_ver] == 0:
				return False

		# 2. Validate that next vertex is not already in path
		return not any(vertex == next_ver for vertex in path   )







def        __lowerCamelCase (							__a       :Union[str, Any]   ,					__a       :int   ,					__a       :Dict   )		->    bool:






		"""simple docstring"""

		if curr_ind == len(_lowerCamelCase   ):
				# return whether path exists between current and starting vertices
				return graph[path[curr_ind - 1]][path[0]] == 1

		# Recursive Step
		for next_ver in range(0   ,					len(_lowerCamelCase   )   ):
				if valid_connection(_lowerCamelCase   ,					_lowerCamelCase   ,					_lowerCamelCase   ,					_lowerCamelCase   ):
						# Insert current vertex  into path as next transition
						A__  				=       next_ver
						# Validate created path
						if util_hamilton_cycle(_lowerCamelCase   ,					_lowerCamelCase   ,					curr_ind + 1   ):
								return True
						# Backtrack
						A__  				=       -1
		return False







def        __lowerCamelCase (							__a       :Optional[int]   ,					__a       :Any = 0   )		->    list[int]:






		"""simple docstring"""

		A__  				=       [-1] * (len(_lowerCamelCase   ) + 1)
		# initialize start and end of path with starting index
		A__  				=       start_index
		# evaluate and if we find answer return path either return empty array
		return path if util_hamilton_cycle(_lowerCamelCase   ,					_lowerCamelCase   ,					1   ) else []










from typing import TYPE_CHECKING

from ...utils import _LazyModule


A   : Optional[Any]			=				{'''processing_wav2vec2_with_lm''': ['''Wav2Vec2ProcessorWithLM''']}


if TYPE_CHECKING:
					from .processing_wavaveca_with_lm import WavaVecaProcessorWithLM
else:
					import sys

					A   : List[str]			=				_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



