

'''simple docstring'''




def 						UpperCamelCase	(			a		,						a		,						a			)				->     bool:






     '''simple docstring'''
     return not any(
         neighbour == 1 and colored_vertices[i] == color
         for i, neighbour in enumerate(a			)			)




def 						UpperCamelCase	(			a		,						a		,						a		,						a			)				->     bool:






     '''simple docstring'''

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

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




def 						UpperCamelCase	(			a		,						a			)				->     list[int]:






     '''simple docstring'''
     __magic_name__						       =    [-1] * len(a			)

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

     return []









'''simple docstring'''




import functools




def 						UpperCamelCase	(			a		,						a			)				->     int:






     '''simple docstring'''
     __magic_name__						       =    len(a			)
     __magic_name__						       =    len(a			)

     @functools.cache
     def min_distance(a		,						a			) -> int:
          # if first word index is overflow - delete all from the second word
          if indexa >= len_worda:
               return len_worda - indexa
          # if second word index is overflow - delete all from the first word
          if indexa >= len_worda:
               return len_worda - indexa
          __magic_name__						       =    int(worda[indexa] != worda[indexa]			)  # current letters not identical
          return min(
              1 + min_distance(indexa + 1		,						a			)		,						1 + min_distance(a		,						indexa + 1			)		,						diff + min_distance(indexa + 1		,						indexa + 1			)		,						)

     return min_distance(0		,						0			)


if __name__ == "__main__":
      import doctest

      doctest.testmod()






