mirror of
https://github.com/trekhleb/javascript-algorithms.git
synced 2025-07-09 04:08:42 +08:00
Add Tower of Hanoi.
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@ -1,42 +1,62 @@
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import hanoiTower from '../hanoiTower';
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import hanoiTower from '../hanoiTower';
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import Stack from '../../../../data-structures/stack/Stack';
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describe('hanoiTower', () => {
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describe('hanoiTower', () => {
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it('should solve tower of hanoi puzzle with 2 discs', () => {
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it('should solve tower of hanoi puzzle with 2 discs', () => {
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const moveCallbackMock = jest.fn();
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const moveCallback = jest.fn();
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const numberOfDiscs = 2;
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const numberOfDiscs = 2;
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hanoiTower(numberOfDiscs, moveCallbackMock);
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const fromPole = new Stack();
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const withPole = new Stack();
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const toPole = new Stack();
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expect(moveCallbackMock).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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hanoiTower({
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numberOfDiscs,
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moveCallback,
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fromPole,
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withPole,
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toPole,
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});
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expect(moveCallbackMock.mock.calls[0][0]).toBe(1);
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expect(moveCallback).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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expect(moveCallbackMock.mock.calls[0][1]).toEqual([1, 2]);
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expect(moveCallbackMock.mock.calls[0][2]).toEqual([]);
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expect(moveCallbackMock.mock.calls[1][0]).toBe(2);
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expect(fromPole.toArray()).toEqual([]);
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expect(moveCallbackMock.mock.calls[1][1]).toEqual([2]);
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expect(toPole.toArray()).toEqual([1, 2]);
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expect(moveCallbackMock.mock.calls[1][2]).toEqual([]);
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expect(moveCallbackMock.mock.calls[2][0]).toBe(1);
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expect(moveCallback.mock.calls[0][0]).toBe(1);
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expect(moveCallbackMock.mock.calls[2][1]).toEqual([1]);
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expect(moveCallback.mock.calls[0][1]).toEqual([1, 2]);
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expect(moveCallbackMock.mock.calls[2][2]).toEqual([2]);
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expect(moveCallback.mock.calls[0][2]).toEqual([]);
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expect(moveCallback.mock.calls[1][0]).toBe(2);
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expect(moveCallback.mock.calls[1][1]).toEqual([2]);
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expect(moveCallback.mock.calls[1][2]).toEqual([]);
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expect(moveCallback.mock.calls[2][0]).toBe(1);
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expect(moveCallback.mock.calls[2][1]).toEqual([1]);
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expect(moveCallback.mock.calls[2][2]).toEqual([2]);
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});
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});
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it('should solve tower of hanoi puzzle with 3 discs', () => {
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it('should solve tower of hanoi puzzle with 3 discs', () => {
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const moveCallbackMock = jest.fn();
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const moveCallback = jest.fn();
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const numberOfDiscs = 3;
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const numberOfDiscs = 3;
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hanoiTower(numberOfDiscs, moveCallbackMock);
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hanoiTower({
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numberOfDiscs,
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moveCallback,
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});
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expect(moveCallbackMock).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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expect(moveCallback).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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});
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});
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it('should solve tower of hanoi puzzle with 6 discs', () => {
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it('should solve tower of hanoi puzzle with 6 discs', () => {
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const moveCallbackMock = jest.fn();
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const moveCallback = jest.fn();
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const numberOfDiscs = 6;
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const numberOfDiscs = 6;
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hanoiTower(numberOfDiscs, moveCallbackMock);
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hanoiTower({
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numberOfDiscs,
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moveCallback,
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});
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expect(moveCallbackMock).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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expect(moveCallback).toHaveBeenCalledTimes((2 ** numberOfDiscs) - 1);
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});
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});
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});
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});
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@ -1,17 +1,5 @@
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import Stack from '../../../data-structures/stack/Stack';
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import Stack from '../../../data-structures/stack/Stack';
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/**
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* @param {Stack} fromPole
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* @param {Stack} toPole
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* @param {function(disc: number, fromPole: number[], toPole: number[])} moveCallback
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*/
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function moveDisc(fromPole, toPole, moveCallback) {
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moveCallback(fromPole.peek(), fromPole.toArray(), toPole.toArray());
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const disc = fromPole.pop();
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toPole.push(disc);
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}
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/**
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/**
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* @param {number} numberOfDiscs
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* @param {number} numberOfDiscs
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* @param {Stack} fromPole
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* @param {Stack} fromPole
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@ -28,7 +16,9 @@ function hanoiTowerRecursive({
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}) {
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}) {
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if (numberOfDiscs === 1) {
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if (numberOfDiscs === 1) {
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// Base case with just one disc.
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// Base case with just one disc.
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moveDisc(fromPole, toPole, moveCallback);
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moveCallback(fromPole.peek(), fromPole.toArray(), toPole.toArray());
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const disc = fromPole.pop();
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toPole.push(disc);
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} else {
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} else {
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// In case if there are more discs then move them recursively.
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// In case if there are more discs then move them recursively.
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@ -64,21 +54,21 @@ function hanoiTowerRecursive({
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/**
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/**
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* @param {number} numberOfDiscs
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* @param {number} numberOfDiscs
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* @param {function(disc: number, fromPole: number[], toPole: number[])} moveCallback
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* @param {function(disc: number, fromPole: number[], toPole: number[])} moveCallback
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* @param {Stack} [fromPole]
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* @param {Stack} [withPole]
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* @param {Stack} [toPole]
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*/
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*/
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export default function hanoiTower(numberOfDiscs, moveCallback) {
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export default function hanoiTower({
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numberOfDiscs,
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moveCallback,
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fromPole = new Stack(),
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withPole = new Stack(),
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toPole = new Stack(),
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}) {
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// Each of three poles of Tower of Hanoi puzzle is represented as a stack
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// Each of three poles of Tower of Hanoi puzzle is represented as a stack
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// that might contain elements (discs). Each disc is represented as a number.
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// that might contain elements (discs). Each disc is represented as a number.
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// Larger discs have bigger number equivalent.
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// Larger discs have bigger number equivalent.
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// The pole from where the discs should be moved.
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const fromPole = new Stack();
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// The middle pole that should be used as a helper.
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const withPole = new Stack();
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// The destination pole where all discs need to be moved.
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const toPole = new Stack();
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// Let's create the discs and put them to the fromPole.
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// Let's create the discs and put them to the fromPole.
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for (let discSize = numberOfDiscs; discSize > 0; discSize -= 1) {
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for (let discSize = numberOfDiscs; discSize > 0; discSize -= 1) {
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fromPole.push(discSize);
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fromPole.push(discSize);
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