Hanoi Towers part 1 CS 244 Brent M. Dingle, Ph.D. Game Design and Development Program Department of Mathematics, Statistics, and Computer Science University.

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Presentation transcript:

Hanoi Towers part 1 CS 244 Brent M. Dingle, Ph.D. Game Design and Development Program Department of Mathematics, Statistics, and Computer Science University of Wisconsin – Stout 2014

Towers of Hanoi 7 moves

Human Way while true: if n is odd: move disk1 one peg left (first peg wraps around to last peg) else: move disk1 one peg right (last peg wraps around to first peg) if done: break else: make the only legal move not involving disk1

Computer Way Tower of Hanoi & Big Oh Pseudocode : FUNCTION MoveTower(n, source,dest, spare): IF n == 1, THEN: move disk 1 from source to dest //base case ELSE: MoveTower(n - 1, source, spare, dest) // Step 1 move disk n from source to dest // Step 2 MoveTower(n - 1, spare, dest, source) // Step 3 END IF aside: 1 is smallest disk and n is the largest disk How did we get this code? Think on it =) See also Homework 5

Free Play – Things to Work On Homework 4 Homework 5

The End Or is it?