# What is the time complexity of Tower of Hanoi problem for n discs?

Contents

The time complexity to find order of moves of discs in Tower of Hanoi problem is O(2^n).

## What is the complexity of Tower of Hanoi?

5 Answers. It depends what you mean by “solved”. The Tower of Hanoi problem with 3 pegs and n disks takes 2**n – 1 moves to solve, so if you want to enumerate the moves, you obviously can’t do better than O(2**n) since enumerating k things is O(k) .

## What is the time taken to solve the Tower of Hanoi problem for 25 disks?

Table depicting the number of disks in a Tower of Hanoi and the time to completion

# of disks (n) Minimum number of moves (Mn=2^n-1) Time to completion
24 16,777,215 6 months, 12 days, 4 hours, 20 minutes, 15 seconds
25 33,554,431 Approx. 1 year
26 67,108,863 Approx. 2 years
27 134,217,727 Approx. 4 years

## What is the time complexity of Tower of Hanoi problem Mcq?

Putting a smaller disk over larger one is allowed. Explanation: Time complexity of the problem can be found out by solving the recurrence relation: T(n)=2T(n-1)+c. Result of this relation is found to be equal to 2n.

## What is the number of moves to solve the Tower of Hanoi problems for N disks?

The original Tower of Hanoi puzzle, invented by the French mathematician Edouard Lucas in 1883, spans “base 2”. That is – the number of moves of disk number k is 2^(k-1), and the total number of moves required to solve the puzzle with N disks is 2^N – 1.

## Is Tower of Hanoi NP hard?

A complete verification of the solution would require examining each move (or each state) (to ensure no illegal moves are made). That would make verification at least as hard as the solution itself. So no, Tower of Hanoi is not in NP or in P (so far). It is NP-hard.

## Can you move all the disks to Tower C game?

Object of the game is to move all the disks over to Tower 3 (with your mouse). But you cannot place a larger disk onto a smaller disk.

## What is the objective of Tower of Hanoi algorithm?

Tower of Hanoi is a mathematical puzzle where we have three rods and n disks. The objective of the puzzle is to move the entire stack to another rod, obeying the following simple rules: 1) Only one disk can be moved at a time.

## What is the number of moves required to solve Tower of Hanoi problem for 5 disks?

Three is the minimal number of moves needed to move this tower. Maybe you also found in the games three-disks can be finished in seven moves, four-disks in 15 and five-disks in 31.

## Which data structure can be used suitably to solve the Tower of Hanoi problem?

Explanation: The Tower of Hanoi involves moving of disks ‘stacked’ at one peg to another peg with respect to the size constraint. It is conveniently done using stacks and priority queues. Stack approach is widely used to solve Tower of Hanoi.

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## Which disk should be placed at top in Tower of Hanoi?

Tower of Hanoi consists of three pegs or towers with n disks placed one over the other. The objective of the puzzle is to move the stack to another peg following these simple rules. Only one disk can be moved at a time. No disk can be placed on top of the smaller disk. 