Tower Of Hanoi Algorithm Flowchart

Move top n 1 disks from aux to end peg. To write an algorithm for tower of hanoi first we need to learn how to solve this problem with lesser amount of disks say 1 or 2. Tower of hanoi algorithm is to move the disks on the source tower to the destination tower.

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T n 1 beg end aux 2.

Tower of hanoi algorithm flowchart. Following are the recursive steps to solve tower of hanoi. It actually is the one which we will use in our python implementation to solve the towers of hanoi. Step 2 is a simple move of a disk. Following is an animated representation of solving a tower of hanoi puzzle with three disks.

That is we will write a recursive function that takes as a parameter the disk that is the largest disk in the tower we want to move. The algorithm which we have just defined is a recursive algorithm to move a tower of size n. Tower of hanoi algorithm and flowchart. Tower of hanoi puzzle with n disks can be solved in minimum 2 n 1 steps.

But you should ensure that the disks on the destination tower should be in the same format as in the source tower i e the largest disk should be at the bottom position and the smallest disk should be at the top position. But to accomplish the steps 1 and 3 we apply the same algorithm again on a tower of n 1. T n 1 aux beg end step 1 says. Our function will also take three parameters indicating from which peg the tower should be.

This presentation shows that a puzzle with 3 disks has taken 2 3 1 7 steps. The puzzle was invented by the french mathematician edouard lucas in 1883. Tower of hanoi is a mathematical puzzle with three rods and n numbers of discs. In our towers of hanoi solution we recurse on the largest disk to be moved.

The objective of this puzzle is to transfer the entire stack to another rod. Move 1 disk from beg to end peg. T 1 beg aux end 3. Move top n 1 disks from beg to aux peg.

Writing a towers of hanoi program.