Algorithms

• 1) Draw the following directed graph 
  G = (V, E)
  V = { u, v, w, x, y ,z }
  E = { (u,v), (v,w), (w,z), (z,v), (v,y), (x,v), (x,x) }
• 2) Visually show each step of the DFS algorithm’s execution as done on textbook page 605 
• 3) Create and visually show a (max) heap using the following numbers as shown on textbook page 152.
  Numbers: 3, 2, 8, 23, 10, 14, 7, 20, 1, 5, 13, 6, 1

Please use the attached textbook for reference as stated in the homework quesitons