






def     _snake_case    (	__lowercase):
   UpperCamelCase_									=     hex_num.strip()
   if not hex_num:
      raise ValueError('No value was passed to the function')

   UpperCamelCase_									=     hex_num[0] == """-"""
   if is_negative:
      UpperCamelCase_									=     hex_num[1:]

   try:
      UpperCamelCase_									=     int(lowercase_    ,      16)
   except ValueError:
      raise ValueError('Invalid value was passed to the function')

   UpperCamelCase_									=     """"""
   while int_num > 0:
      UpperCamelCase_									=     str(int_num % 2) + bin_str
      int_num >>= 1

   return int(('-' + bin_str) if is_negative else bin_str)


if __name__ == "__main__":
 import doctest

 doctest.testmod()













def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase):
   return not any(
       neighbour == 1 and colored_vertices[i] == color
       for i, neighbour in enumerate(__lowercase))






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase):

   # Base Case
   if index == len(__lowercase):
      return True

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






def     _snake_case    (__lowercase    ,      __lowercase):
   UpperCamelCase_									=     [-1] * len(__lowercase)

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

   return []





