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P resentation

P resentation. Aumm-e-hani munir Maria umer Rakhshanda batool Faiza. Tower of honii. What is Tower of hanoii.

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P resentation

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  1. Presentation Aumm-e-hani munir Maria umer Rakhshanda batool Faiza

  2. Tower of honii

  3. What is Tower of hanoii • DEFINATION:The Tower of Hanoi is one of the truly classic puzzle games. In the Tower of Hanoi puzzle a player attempts to move a large pile of disks, known as the Tower, from the leftmost peg to the rightmost on the puzzle board. • RULES: The rules of the puzzle state that the player can only move one disk per turn and can never place a larger disk onto a smaller one at any time. • TYPE: Tower of Hanoi Puzzles may consist of any number of disks as long as they total three or more.

  4. How to play Tower of hanoii puzzle • Lets start with three disk

  5. Step 1:move disk 3 on tower 3

  6. Step 2:move disk 2 on tower 2

  7. Step 3:move disk 3 from tower 3 to tower 2

  8. Step 4:move disk 1 on tower 3

  9. Step 5:move disk 3 on tower 1

  10. Step 6:move disk 2 on tower 3

  11. Step 7:move disk 3 on tower 3

  12. Algorithm: • FUNCTION MoveTower(disk, source, dest, spare): IF disk == 0, THEN: move disk from source to dest ELSE: MoveTower(disk - 1, source, spare, dest) // Step1 above move disk from source to dest// Step 2 above MoveTower(disk - 1, spare, dest, source) // Step 3 above END IF

  13. Graphical Representation: • Another way to visualize what happens when you run MoveTower is called a call tree. This is a graphic representation of all the calls. Here is a call tree for MoveTower(3,A,B,C).

  14. Graphical Representation:

  15. Reduction search: • we will consider the state at the top of the figure the starting state. • In this case all three disks are on the left-most peg. And we will consider the state at the bottom right to be the goal state. • Three disks are now all stacked on the right-most peg.

  16. Thanks for your patience Have a nice day……..

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