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## 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**.

## 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) **b _{n}=4b_{n}+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.