# What is recurrence relation of Tower of Hanoi problem?

Contents

## Which one of the following is recurrence relation for Tower of Hanoi?

Explanation: Space complexity of tower of hanoi problem can be found out by solving the recurrence relation T(n)=T(n-1)+c.

## What is the main aim of Tower of Hanoi recurrence problem?

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.

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

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

## What is the equation for the Tower of Hanoi?

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.

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## What is the recurrence relation for the optimal time of Tower of Hanoi with n discs?

The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with. n discs is. T(n) = 2T(n − 2) + 2.

## What is the algorithm of the Tower of Hanoi for 5 disks?

The aim is to try and complete the transfer using the smallest number of moves possible. For example if you have three disks, the minimum number of moves is 7.

The minimum number of moves for any number of disks.

Number of disks Minimum number of moves
2 3
3 (2 X3)+1 = 7
4 (2X7)+1 = 15
5 (2X15)+1=31

## Which following recurrence relation can’t be solved using master’s Theorem?

For example, the recurrence T(n) = 2T(n/2) + n/Logn cannot be solved using master method. Practice Problems and Solutions on Master Theorem.

## What is the recurrence relation 1/7 31?

What is the recurrence relation for 1, 7, 31, 127, 499? b) bn=4bn+7! Explanation: Look at the differences between terms: 1, 7, 31, 124,…. and these are growing by a factor of 4.

## How is the complexity of Tower of Hanoi calculated?

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) .

## Which statement is correct in case of Tower of Hanoi give reason?

The statement “Only one disk can be moved at a time” is correct in case of tower of hanoi. The Tower of Hanoi or Luca’s tower is a mathematical puzzle consisting of three rods and numerous disks. The player needs to stack the entire disks onto another rod abiding by the rules of the game.

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