


'''simple docstring'''
def       a				(      __a			, __a			, __a			, __a       )  ->     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       a				(      __a			, __a			, __a       )  ->     bool:



					'''simple docstring'''






					if curr_ind == len(__a       ):
										# 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(__a       )       ):
										if valid_connection(__a			, __a			, __a			, __a       ):
															# Insert current vertex  into path as next transition
															UpperCamelCase__       :Dict							 =			next_ver
															# Validate created path
															if util_hamilton_cycle(__a			, __a			, curr_ind + 1       ):
																				return True
															# Backtrack
															UpperCamelCase__       :int							 =			-1
					return False







def       a				(      __a			, __a = 0       )  ->     list[int]:



					'''simple docstring'''






					UpperCamelCase__       :Tuple							 =			[-1] * (len(__a       ) + 1)
					# initialize start and end of path with starting index
					UpperCamelCase__       :Union[str, Any]							 =			start_index
					# evaluate and if we find answer return path either return empty array
					return path if util_hamilton_cycle(__a			, __a			, 1       ) else []



'''simple docstring'''
from typing import TYPE_CHECKING

from ...utils import _LazyModule


__snake_case											=					{'''tokenization_wav2vec2_phoneme''': ['''Wav2Vec2PhonemeCTCTokenizer''']}


if TYPE_CHECKING:
		from .tokenization_wavaveca_phoneme import WavaVecaPhonemeCTCTokenizer
else:
		import sys

		__snake_case											=					_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)