Understanding Tower of Hanoi

What is the Tower of Hanoi problem?

• A computer algorithm for sorting data.

• A strategy game played on a board with pieces.

• A mathematical puzzle involving moving disks between rods under specific rules.

• A historical landmark in France.

How many disks are used in the classic Tower of Hanoi?

• 2

• 3

• 4

• 5

What is the base case in the recursive solution for Tower of Hanoi?

• Move the disk from the destination peg to the source peg.

• Move all disks to an auxiliary peg first.

• Move the disk directly from the source peg to the destination peg.

• Move the largest disk only to the destination peg.

Explain the recursive approach to solve Tower of Hanoi.

• Move all disks to the destination peg at once.

• The recursive approach to solve Tower of Hanoi involves moving n-1 disks to an auxiliary peg, moving the nth disk to the destination peg, and then moving the n-1 disks from the auxiliary peg to the destination peg.

• Move disks in pairs instead of one at a time.

• Only move the largest disk to the auxiliary peg first.

What is the time complexity of the recursive solution for Tower of Hanoi?

• O(log n)

• O(2^n)

• O(n)

• O(n^2)

How can the Tower of Hanoi be implemented using a stack?

• Move disks one at a time without any recursive or iterative process.

• Use three stacks to represent the rods and implement the recursive or iterative algorithm to move disks between them.

• Implement the algorithm using only two stacks and ignore the third rod.

• Use a single stack to hold all disks and move them directly to the target rod.

What are the three pegs in the Tower of Hanoi used for?

• The pegs are used to measure the height of the tower.

• The pegs are used to hold the disks in place.

• The pegs are for displaying the disks as art.

• The three pegs are used as the source, auxiliary, and destination for moving disks.

Describe the iterative approach to solve Tower of Hanoi using a stack.

• Use a stack to simulate the recursive moves, processing each state until all disks are moved.

• Recursively call the function without tracking states.

• Move disks directly without any data structure.

• Use a queue to manage the disk movements sequentially.

What is the minimum number of moves required to solve Tower of Hanoi with n disks?

• 2^n - 1

• 2n

• n!

• n^2

How does the Tower of Hanoi illustrate the concept of recursion?

• It illustrates recursion by moving all disks at once without breaking the problem down.

• The Tower of Hanoi illustrates recursion by breaking down the problem into smaller instances of itself, solving each recursively until reaching a base case.

• The Tower of Hanoi does not involve recursion at all.

• It shows recursion by using a single move to solve the entire puzzle.