






import random






def 	UpperCamelCase	(							snake_case__  : int						,snake_case__  : float						,snake_case__  : bool = False	):




     '''simple docstring'''






     __snake_case      :dict 							=    {i: [] for i in range(snake_case__	)}

     # if probability is greater or equal than 1, then generate a complete graph
     if probability >= 1:
          return complete_graph(snake_case__	)
     # if probability is lower or equal than 0, then return a graph without edges
     if probability <= 0:
          return graph

     # for each couple of nodes, add an edge from u to v
     # if the number randomly generated is greater than probability probability
     for i in range(snake_case__	):
          for j in range(i + 1						,snake_case__	):
               if random.random() < probability:
                    graph[i].append(snake_case__	)
                    if not directed:
                         # if the graph is undirected, add an edge in from j to i, either
                         graph[j].append(snake_case__	)
     return graph






def 	UpperCamelCase	(							snake_case__  : int	):




     '''simple docstring'''






     return {
         i: [j for j in range(snake_case__	) if i != j] for i in range(snake_case__	)
     }


if __name__ == "__main__":
     import doctest

     doctest.testmod()










def 	UpperCamelCase	(							snake_case__  : list	):




     '''simple docstring'''






     if not grid or not grid[0]:
          raise TypeError("""The grid does not contain the appropriate information"""	)

     for cell_n in range(1						,len(grid[0]	)	):
          grid[0][cell_n] += grid[0][cell_n - 1]
     __snake_case      :str 							=    grid[0]

     for row_n in range(1						,len(snake_case__	)	):
          __snake_case      :Optional[int] 							=    grid[row_n]
          __snake_case      :Optional[Any] 							=    fill_row(snake_case__						,snake_case__	)
          __snake_case      :Dict 							=    grid[row_n]

     return grid[-1][-1]






def 	UpperCamelCase	(							snake_case__  : list						,snake_case__  : list	):




     '''simple docstring'''






     current_row[0] += row_above[0]
     for cell_n in range(1						,len(snake_case__	)	):
          current_row[cell_n] += min(current_row[cell_n - 1]						,row_above[cell_n]	)

     return current_row


if __name__ == "__main__":
     import doctest

     doctest.testmod()


