how to tower of hanoi havascript

How to implement the Tower of Hanoi in JavaScript

To implement the Tower of Hanoi game in JavaScript, you can follow these steps:1. Create an HTML structure for the game board:```html  
  
  
```2. Style the game board using CSS:```css#game-board {  display: flex;  justify-content: space-between;}.disk {  width: 50px;  height: 50px;  border-radius: 50%;  margin: 10px;  background-color: black;}```3. Create JavaScript variables and functions:```javascriptconst gameBoard = document.getElementById('game-board');const disks = Array.from({ length: 3 }, (_, i) => ({ index: i, size: 50 + i * 10 }));function createDiskElement(index) {  const disk = document.createElement('div');  disk.className = 'disk';  disk.style.width = `${disks[index].size}px`;  disk.style.height = `${disks[index].size}px`;  return disk;}function setupGame() {  disks.forEach((disk, index) => {    const diskElement = createDiskElement(index);    gameBoard.appendChild(diskElement);  });}function moveDisk(fromPole, toPole) {  if (fromPole.lastChild === null || fromPole.lastChild.index !== toPole.firstChild.index - 1) {    throw new Error('Invalid move');  }    toPole.insertBefore(fromPole.lastChild, toPole.firstChild);  fromPole.removeChild(fromPole.lastChild);}// Define additional helper functions for Tower of Hanoi logic (e.g., recursive function for solving the puzzle)```4. Implement the Tower of Hanoi logic with recursion:```javascriptfunction towerOfHanoi(numDisks, startPole, endPole, auxiliaryPole = null) {  auxiliaryPole = auxiliaryPole || (endPole === gameBoard.lastChild ? gameBoard.firstElementChild : gameBoard.lastElementChild);  if (numDisks === 1) {    moveDisk(startPole, endPole);  } else {    towerOfHanoi(numDisks - 1, startPole, auxiliaryPole, endPole);    moveDisk(startPole, endPole);    towerOfHanoi(numDisks - 1, auxiliaryPole, endPole, startPole);  }}// Call the function to solve the puzzle with 3 disks on the first poletowerOfHanoi(disks.length, gameBoard.firstElementChild, gameBoard.lastElementChild);```This code will set up a basic Tower of Hanoi game board with three disks and implement the required logic to solve the puzzle starting from the first pole to the last one. You may want to add event listeners to allow users to interact with the game by clicking on the disks or modify the styling according to your preferences.

To solve the Tower of Hanoi problem using JavaScript, you can use recursion or a loop approach to move the n disks from one peg to another. Here's an example using recursion:```javascriptfunction towerOfHanoi(n, source, auxillary, target) {  // Base case: moving n - 1 disks from source to auxiliary  if (n === 1) {    console.log("Move disk 1 from peg " + source + " to peg " + target);    return;  }  // Recursive case: moving n - 1 disks from source to auxiliary, then moving the nth disk from source to target  towerOfHanoi(n - 1, source, target, auxillary);  // Move the nth disk from source to target  console.log("Move disk " + n + " from peg " + source + " to peg " + target);  // Recursively move the remaining n-1 disks from auxiliary to target  towerOfHanoi(n - 1, auxillary, target, source);}// Example usagetowerOfHanoi(3, 'A', 'B', 'C');```In this implementation, the `towerOfHanoi` function takes four parameters:1. `n`: The number of disks to be moved.2. `source`: The starting peg from which the disks start.3. `auxillary`: The temporary peg where the smaller disks are placed while moving the larger disks to their final destination.4. `target`: The destination peg where the disks should be placed.The function first checks for the base case, which is when there is only one disk to be moved (case `n = 1`). In this case, it simply prints out the move instruction for moving the disk from the source peg to the target peg.If `n > 1`, the function makes a recursive call to itself with `n - 1` disks as the source, `target` as the auxiliary, and `source` as the current target peg. This step moves the `(n - 1)` disks from the source peg to the auxiliary peg.After making the recursive call, it moves the `n`th disk from the source peg to the target peg. Then, it recursively calls itself with `n - 1` disks again on the auxiliary peg, but this time, it places the `n`th disk on top of the already moved disks on the target peg.Finally, it recursively moves the remaining `n - 1` disks from the auxiliary peg to the target peg, by calling itself with the auxiliary peg as the source, the target peg as the auxiliary, and the source peg as the current target peg.This process continues until all `n - 1` disks have been moved from the source peg to the target peg, and all disks are placed on the correct pegs.Note that this implementation assumes that the input value `n` represents the total number of disks rather than the actual disk numbers being moved. If the input value `n` could be different from the actual values, you would need to modify the function accordingly to accommodate for the appropriate `n` value.

Sure! The Tower of Hanoi is a classic problem that can be solved using recursion. Below is an example of how you can implement the Tower of Hanoi in JavaScript.### Problem DescriptionThe Tower of Hanoi consists of three rods and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks neatly stacked in ascending order of size on one rod, the smallest at the top, thus making a conical shape.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.2. Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod.3. No disk may be placed on top of a smaller disk.### JavaScript Implementation```javascriptfunction towerOfHanoi(n, source, auxiliary, target) {    if (n === 1) {        console.log(`Move disk 1 from ${source} to ${target}`);        return;    }    // Move n-1 disks from source to auxiliary, so they are out of the way    towerOfHanoi(n - 1, source, target, auxiliary);        // Move the nth disk from source to target    console.log(`Move disk ${n} from ${source} to ${target}`);        // Move the n-1 disks that we left on auxiliary to target    towerOfHanoi(n - 1, auxiliary, source, target);}// Example usage:const numberOfDisks = 3; // You can change this to any number of diskstowerOfHanoi(numberOfDisks, 'A', 'B', 'C');```### Explanation- `n` is the number of disks.- `source` is the starting rod.- `auxiliary` is the helper rod.- `target` is the destination rod.The function `towerOfHanoi` is called recursively:1. If there is only one disk (`n === 1`), it directly moves the disk from the source to the target.2. Otherwise, it first moves `n-1` disks from the source to the auxiliary rod, then moves the largest disk from the source to the target, and finally moves the `n-1` disks from the auxiliary to the target.### Example Output for 3 Disks```Move disk 1 from A to CMove disk 2 from A to BMove disk 1 from C to BMove disk 3 from A to CMove disk 1 from B to AMove disk 2 from B to CMove disk 1 from A to C```This output shows the sequence of moves required to solve the Tower of Hanoi problem for 3 disks. You can adjust the `numberOfDisks` variable to see the solution for a different number of disks.