
"""simple docstring"""




def 						lowercase_      (       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 						lowercase_      (       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
            snake_case								= next_ver
            # Validate created path
            if util_hamilton_cycle(A__			,		A__			,		curr_ind + 1		):
                return True
            # Backtrack
            snake_case								= -1
    return False





def 						lowercase_      (       A__			,		A__ = 0		)							->							list[int]:
    """simple docstring"""

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



from ....utils import logging


_A   =			logging.get_logger(__name__)







class 					lowerCamelCase		(  A_  ):





     def __init__(self				:   Tuple    ,   _A				:   Optional[int]    ,   _A				:   Tuple=None    ,   _A				:   Union[str, Any]=2_0_4_8       )						->						List[Any]:
         snake_case								= config.__dict__
         snake_case								= modal_hidden_size
         if num_labels:
             snake_case								= num_labels

