





'''simple docstring'''




from __future__ import annotations

import math






def 	_lowerCAmelCase      (  __snake_case  :			int			,							__snake_case  :			int			,							__snake_case  :			bool			,							__snake_case  :			list[int]			,							__snake_case  :			float      )					->					int:

     if depth < 0:
          raise ValueError('Depth cannot be less than 0'      )

     if len(__snake_case      ) == 0:
          raise ValueError('Scores cannot be empty'      )

     if depth == height:
          return scores[node_index]

     if is_max:
          return max(
              minimax(depth + 1			,							node_index * 2			,							__snake_case			,							__snake_case			,							__snake_case      )			,							minimax(depth + 1			,							node_index * 2 + 1			,							__snake_case			,							__snake_case			,							__snake_case      )			,							)

     return min(
         minimax(depth + 1			,							node_index * 2			,							__snake_case			,							__snake_case			,							__snake_case      )			,							minimax(depth + 1			,							node_index * 2 + 1			,							__snake_case			,							__snake_case			,							__snake_case      )			,							)






def 	_lowerCAmelCase      (  )					->					None:
     __A						:			List[str]								=	[90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
     __A						:			Union[str, Any]								=	math.log(len(__snake_case      )			,							2      )
     print('Optimal value : '			,							end=''      )
     print(minimax(0			,							0			,							__snake_case			,							__snake_case			,							__snake_case      )      )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()






'''simple docstring'''




lowercase__   :				Any      =   {'''a''': ['''c''', '''b'''], '''b''': ['''d''', '''e'''], '''c''': [], '''d''': [], '''e''': []}
lowercase__   :				List[Any]      =   ['''a''', '''b''', '''c''', '''d''', '''e''']






def 	_lowerCAmelCase      (  __snake_case  :			str			,							__snake_case  :			Tuple			,							__snake_case  :			int      )					->					Tuple:
     __A						:			List[str]								=	start
     # add current to visited
     visited.append(__snake_case      )
     __A						:			Optional[int]								=	edges[current]
     for neighbor in neighbors:
          # if neighbor not in visited, visit
          if neighbor not in visited:
               __A						:			int								=	topological_sort(__snake_case			,							__snake_case			,							__snake_case      )
    # if all neighbors visited add current to sort
     sort.append(__snake_case      )
     # if all vertices haven't been visited select a new one to visit
     if len(__snake_case      ) != len(__snake_case      ):
          for vertice in vertices:
               if vertice not in visited:
                    __A						:			Dict								=	topological_sort(__snake_case			,							__snake_case			,							__snake_case      )
    # return sort
     return sort


if __name__ == "__main__":
  lowercase__   :				Tuple      =   topological_sort('''a''', [], [])
  print(sort)