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Towers of Hanoi: Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks from one peg to another. The initial stack had 64 disks threaded onlo one peg and arranged from boliom lo lop by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that exactly one disk is moved at a time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for lemporarily holding the disks. Supposedly the world will end when the priests complete their task, so there is little incentive for us to facilitate their efforts. Let's assume that the priests are attempting to move the disks from peg I to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach this problem with conventional methods, we would rapidly find ourselves hopelessly knotted up in managing the disks. Instead, if we attack the problem with recursion in mind, it immediately becomes tractable. Moving a disks can be viewed in terms of moving only n-1 disks (and hence the recursion) as follows: a) Move n-1 disks from peg 1 to peg 2, using peg 3 as a termporary holding area. b) Move the last disk (the largest) from peg 1 to peg 3. e) Move the n 1 disks from peg 2 lo peg 3, using peg I as a temporary holding area. The process ends when the last task involves moving n-1 disk, i.e., the base case. This is accomplished by trivially moving the disk without the noed for a temporary holding arca. Write a program to solve the Towers of Hanoi problem. Use a recursive function with four paramelers: a) The number of disks to be moved b) The peg on which these disks are initially threaded c) The peg to which this stack of disks is to be moved d) The peg to be used as a temporary holding area Your program should print the precise instructions it will take to move the disks from the starting peg to the destination peg. For example, to move a stack of three disks from peg I to peg 3, your program should print the following series of moves: 1-3 (This means move one disk from peg I to peg 3.) 32 21 23

Towers of Hanoi: Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks from one peg to another. The initial stack had 64 disks threaded onlo one peg and arranged from boliom lo lop by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that exactly one disk is moved at a time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for lemporarily holding the disks. Supposedly the world will end when the priests complete their task, so there is little incentive for us to facilitate their efforts. Let's assume that the priests are attempting to move the disks from peg I to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach this problem with conventional methods, we would rapidly find ourselves hopelessly knotted up in managing the disks. Instead, if we attack the problem with recursion in mind, it immediately becomes tractable. Moving a disks can be viewed in terms of moving only n-1 disks (and hence the recursion) as follows: a) Move n-1 disks from peg 1 to peg 2, using peg 3 as a termporary holding area. b) Move the last disk (the largest) from peg 1 to peg 3. e) Move the n 1 disks from peg 2 lo peg 3, using peg I as a temporary holding area. The process ends when the last task involves moving n-1 disk, i.e., the base case. This is accomplished by trivially moving the disk without the noed for a temporary holding arca. Write a program to solve the Towers of Hanoi problem. Use a recursive function with four paramelers: a) The number of disks to be moved b) The peg on which these disks are initially threaded c) The peg to which this stack of disks is to be moved d) The peg to be used as a temporary holding area Your program should print the precise instructions it will take to move the disks from the starting peg to the destination peg. For example, to move a stack of three disks from peg I to peg 3, your program should print the following series of moves: 1-3 (This means move one disk from peg I to peg 3.) 32 21 23

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Electrical Engineering - data truct EENG242 (project)
Towers of Hanoi: Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks from one peg to another. The initial slack had 64 disks threaded onto one peg and arranged from boliom lo lop by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that cexactly one disk is moved at a time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for temporarily holding the disks. Supposedly the world will end when the priests complete their tusk, so there is little incentive for us to facilitate their efforts. Let's assume that the pricsts are attempting to move the disks from peg 1 to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach this problem with conventional methods, we would rapidly find ourselves hopelessly knotted up in managing the disks. Instead, if we attack the problem with recursion in mind, it immediately becoomes tractable. Moving n disks can be viewed in terms of moving only n- 1 disks (and hence the recursion) s follows: a) Move n-1 disks from peg 1 to peg 2, using peg 3 as a temporary holding area. Move the last disk (the largest) from peg 1 to peg 3. c) Move the n 1 disks from peg 2 to peg 3, using peg 1 as a temporary holding area. The process ends when the last task involves moving n = 1 disk, i.e., the base case. This is accomplished by trivially moving the disk without the necd for a temporary holding arca. Write a program lo solve the Towers of Hanoi problem. Use a recursive function with four paramelers: a) The number of disks to be moved b) The peg on which these disks are initially threaded c) The peg to which this stack of disks is to be moved d) The peg to be used as a temporary holding area Your program should print the precise instructions it will take to move the disks from the starting peg to the destination peg. For example, to move a stack of three disks from peg 1 to peg 3, your program should print the following series of moves: 1->3 (This means move one disk from peg I to peg 3.) 3>2 1>3 2>1 2->3 1->3
Transcribed Image Text:Towers of Hanoi: Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks from one peg to another. The initial slack had 64 disks threaded onto one peg and arranged from boliom lo lop by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that cexactly one disk is moved at a time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for temporarily holding the disks. Supposedly the world will end when the priests complete their tusk, so there is little incentive for us to facilitate their efforts. Let's assume that the pricsts are attempting to move the disks from peg 1 to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach this problem with conventional methods, we would rapidly find ourselves hopelessly knotted up in managing the disks. Instead, if we attack the problem with recursion in mind, it immediately becoomes tractable. Moving n disks can be viewed in terms of moving only n- 1 disks (and hence the recursion) s follows: a) Move n-1 disks from peg 1 to peg 2, using peg 3 as a temporary holding area. Move the last disk (the largest) from peg 1 to peg 3. c) Move the n 1 disks from peg 2 to peg 3, using peg 1 as a temporary holding area. The process ends when the last task involves moving n = 1 disk, i.e., the base case. This is accomplished by trivially moving the disk without the necd for a temporary holding arca. Write a program lo solve the Towers of Hanoi problem. Use a recursive function with four paramelers: a) The number of disks to be moved b) The peg on which these disks are initially threaded c) The peg to which this stack of disks is to be moved d) The peg to be used as a temporary holding area Your program should print the precise instructions it will take to move the disks from the starting peg to the destination peg. For example, to move a stack of three disks from peg 1 to peg 3, your program should print the following series of moves: 1->3 (This means move one disk from peg I to peg 3.) 3>2 1>3 2>1 2->3 1->3
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