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## What is Hanoi task?

The Tower of Hanoi is a simple mathematical puzzle often employed for **the assessment of problem-solving and in the evaluation of frontal lobe deficits**. The task allows researchers to observe the participant’s moves and problem-solving ability, which reflect the individual’s ability to solve simple real-world problems.

## What is the formula for 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 do you understand by Tower of Hanoi problem explain with an example?

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.

## Why is it called Towers of Hanoi?

The tower of Hanoi (also called the tower of Brahma or the Lucas tower) was invented by a French mathematician Édouard Lucas in the 19th century. It is **associated with a legend of a Hindu temple where the puzzle was supposedly used to increase the mental discipline of young priests**.

## Which statement is correct in case of Tower of Hanoi with 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.

## Which of the options are correct with respect to Tower of Hanoi problem?

Explanation: Objective of tower of hanoi problem is to move all disks to some other rod by following the following rules-1) **Only one disk can be moved at a time**. 2) Disk can only be moved if it is the uppermost disk of the stack. 3) No disk should be placed over a smaller disk.

## Why is the Tower of Hanoi recursive?

Using recursion often involves a key insight that makes everything simpler. In our Towers of Hanoi solution, **we recurse on the largest disk to be moved**. … That is, we will write a recursive function that takes as a parameter the disk that is the largest disk in the tower we want to move.

## What is the recurrence relation of Tower of Hanoi?

Then the monks move the n th disk, taking 1 move. And finally they move the ( n -1)-disk tower again, this time on top of the n th disk, taking M ( n -1) moves. This gives us our recurrence relation, **M ( n ) = 2 M ( n -1) + 1.**

## How do you win Hanoi?

**Let’s go through each of the steps:**

- Move the first disk from A to C.
- Move the first disk from A to B.
- Move the first disk from C to B.
- Move the first disk from A to C.
- Move the first disk from B to A.
- Move the first disk from B to C.
- Move the first disk from A to C.

## Where was the Tower of Hanoi invented?

The Tower of Hanoi, also known as the Tower of Brahma, is a puzzle invented by E. Lucas in 1883. According to legend, **in an Indian temple** that contains a large room with three poles surrounded by 64 golden disks, the priests of Brahma have been moving these golden disks, in accordance with the rules of the puzzle.