


'''simple docstring'''



def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       int						,				_SCREAMING_SNAKE_CASE				:       list[int]						,				_SCREAMING_SNAKE_CASE				:       int       ):



     def count_of_possible_combinations(_SCREAMING_SNAKE_CASE				:       int       ) -> int:
          if target < 0:
               return 0
          if target == 0:
               return 1
          return sum(count_of_possible_combinations(target - item       ) for item in array       )

     return count_of_possible_combinations(A__       )






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       int						,				_SCREAMING_SNAKE_CASE				:       list[int]						,				_SCREAMING_SNAKE_CASE				:       int       ):



     def count_of_possible_combinations_with_dp_array(
         _SCREAMING_SNAKE_CASE				:       int						,				_SCREAMING_SNAKE_CASE				:       list[int]       ) -> int:
          if target < 0:
               return 0
          if target == 0:
               return 1
          if dp_array[target] != -1:
               return dp_array[target]
          __a      :	str    =  sum(
              count_of_possible_combinations_with_dp_array(target - item						,				A__       )
              for item in array       )
          __a      :	Optional[Any]    =  answer
          return answer

     __a      :	Tuple    =  [-1] * (target + 1)
     return count_of_possible_combinations_with_dp_array(A__						,				A__       )






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       int						,				_SCREAMING_SNAKE_CASE				:       list[int]						,				_SCREAMING_SNAKE_CASE				:       int       ):
     __a      :	Tuple    =  [0] * (target + 1)
     __a      :	Dict    =  1

     for i in range(1						,				target + 1       ):
          for j in range(A__       ):
               if i - array[j] >= 0:
                    dp_array[i] += dp_array[i - array[j]]

     return dp_array[target]


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 __lowercase     :						List[Any]	=     3
 __lowercase     :						Dict	=     5
 __lowercase     :						Union[str, Any]	=     [1, 2, 5]
 print(combination_sum_iv(n, array, target))







'''simple docstring'''



__lowercase     :						Optional[Any]	=     {'a': ['c', 'b'], 'b': ['d', 'e'], 'c': [], 'd': [], 'e': []}
__lowercase     :						List[str]	=     ['a', 'b', 'c', 'd', 'e']






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       List[Any]						,				_SCREAMING_SNAKE_CASE				:       Any						,				_SCREAMING_SNAKE_CASE				:       List[str]       ):
					__a      :	Any    =  start
					# add current to visited
					visited.append(_SCREAMING_SNAKE_CASE       )
					__a      :	Union[str, Any]    =  edges[current]
					for neighbor in neighbors:
										# if neighbor not in visited, visit
										if neighbor not in visited:
															__a      :	Dict    =  topological_sort(_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE       )
    # if all neighbors visited add current to sort
					sort.append(_SCREAMING_SNAKE_CASE       )
					# if all vertices haven't been visited select a new one to visit
					if len(_SCREAMING_SNAKE_CASE       ) != len(_SCREAMING_SNAKE_CASE       ):
										for vertice in vertices:
															if vertice not in visited:
																				__a      :	List[Any]    =  topological_sort(_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE       )
    # return sort
					return sort


if __name__ == "__main__":
	__lowercase     :						Union[str, Any]	=     topological_sort('a', [], [])
	print(sort)



