

def   a   (    A__			:     int  )					->   int:





      """simple docstring"""



      assert isinstance(A__   ,     A__  ), F'''The input value of [n={number}] is not an integer'''

      if number == 1:
            return 2
      elif number < 1:
            _lowercase			 =F'''The input value of [n={number}] has to be > 0'''
            raise ValueError(A__  )
      else:
            _lowercase			 =sylvester(number - 1  )
            _lowercase			 =num - 1
            _lowercase			 =num
            return lower * upper + 1


if __name__ == "__main__":
  print(f"The 8th number in Sylvester's sequence: {sylvester(8)}")





def   a   (    A__			:     Optional[int]  )					->   Tuple:





      """simple docstring"""



      _lowercase			 =[0] * len(A__  )
      _lowercase			 =[]
      _lowercase			 =[]
      _lowercase			 =0

      for values in graph.values():
            for i in values:
                  indegree[i] += 1

      for i in range(len(A__  )  ):
            if indegree[i] == 0:
                  queue.append(A__  )

      while queue:
            _lowercase			 =queue.pop(0  )
            cnt += 1
            topo.append(A__  )
            for x in graph[vertex]:
                  indegree[x] -= 1
                  if indegree[x] == 0:
                        queue.append(A__  )

      if cnt != len(A__  ):
            print('Cycle exists'  )
      else:
            print(A__  )


# Adjacency List of Graph
lowercase_             =     {0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [], 5: []}







topological_sort(graph)


