
'''simple docstring'''







def 				SCREAMING_SNAKE_CASE__	(   __A			,				__A			,				__A	)       ->	Optional[int]:
	return not any(
	    neighbour == 1 and colored_vertices[i] == color
	    for i, neighbour in enumerate(__UpperCamelCase	)	)







def 				SCREAMING_SNAKE_CASE__	(   __A			,				__A			,				__A			,				__A	)       ->	Union[str, Any]:







	if index == len(__UpperCamelCase	):
		return True

	# Recursive Step
	for i in range(__UpperCamelCase	):
		if valid_coloring(graph[index]			,				__UpperCamelCase			,				__UpperCamelCase	):
			# Color current vertex
			_snake_case   						=		i
			# Validate coloring
			if util_color(__UpperCamelCase			,				__UpperCamelCase			,				__UpperCamelCase			,				index + 1	):
				return True
			# Backtrack
			_snake_case   						=		-1
	return False







def 				SCREAMING_SNAKE_CASE__	(   __A			,				__A	)       ->	List[Any]:
	_snake_case   						=		[-1] * len(__UpperCamelCase	)

	if util_color(__UpperCamelCase			,				__UpperCamelCase			,				__UpperCamelCase			,				0	):
		return colored_vertices

	return []









"""simple docstring"""


import os
import sys
from contextlib import contextmanager


# Windows only
if os.name == "nt":
       import ctypes
       import msvcrt  # noqa


       class 					snake_case		(							ctypes.Structure						):


          '''simple docstring'''

          A_						:	List[str]						 = [("size", ctypes.c_int), ("visible", ctypes.c_byte)]



def 					lowerCAmelCase				(    ):




  """simple docstring"""







  if os.name == "nt":
    __A									= CursorInfo()
    __A									= ctypes.windll.kernelaa.GetStdHandle(-1_1 )
    ctypes.windll.kernelaa.GetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
    __A									= False
    ctypes.windll.kernelaa.SetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
  elif os.name == "posix":
    sys.stdout.write('''\033[?25l''' )
    sys.stdout.flush()



def 					lowerCAmelCase				(    ):




  """simple docstring"""







  if os.name == "nt":
    __A									= CursorInfo()
    __A									= ctypes.windll.kernelaa.GetStdHandle(-1_1 )
    ctypes.windll.kernelaa.GetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
    __A									= True
    ctypes.windll.kernelaa.SetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
  elif os.name == "posix":
    sys.stdout.write('''\033[?25h''' )
    sys.stdout.flush()





@contextmanager
def 					lowerCAmelCase				(    ):




  """simple docstring"""







  try:
    hide_cursor()
    yield
  finally:
    show_cursor()




