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function defaultCompare(a, b) {\n  if (a === b) {\n    return Compare.EQUALS;\n  }\n  return a < b ? Compare.LESS_THAN : Compare.BIGGER_THAN;\n}\n\nexport function defaultEquals(a, b) {\n  return a === b;\n}\n\nexport function defaultToString(item) {\n  if (item === null) {\n    return 'NULL';\n  } else if (item === undefined) {\n    return 'UNDEFINED';\n  } else if (typeof item === 'string' || item instanceof String) {\n    return `${item}`;\n  }\n  return item.toString();\n}\n\nexport function swap(array, a, b) {\n  /* const temp = array[a];\n  array[a] = array[b];\n  array[b] = temp; */\n  [array[a], array[b]] = [array[b], array[a]];\n}\nexport function reverseCompare(compareFn) {\n  return (a, b) => compareFn(b, a);\n}\n\nexport function defaultDiff(a, b) {\n  return Number(a) - Number(b);\n}\n","export class ValuePair {\n  constructor(key, value) {\n    this.key = key;\n    this.value = value;\n  }\n  toString() {\n    return `[#${this.key}: ${this.value}]`;\n  }\n}\n","import { defaultEquals } from '../util';\nimport { Node } from './models/linked-list-models';\n\nexport default class LinkedList {\n  constructor(equalsFn = defaultEquals) {\n    this.equalsFn = equalsFn;\n    this.count = 0;\n    this.head = undefined;\n  }\n  push(element) {\n    const node = new Node(element);\n    let current;\n    if (this.head == null) {\n      // catches null && undefined\n      this.head = node;\n    } else {\n      current = this.head;\n      while (current.next != null) {\n        current = current.next;\n      }\n      current.next = node;\n    }\n    this.count++;\n  }\n  getElementAt(index) {\n    if (index >= 0 && index <= this.count) {\n      let node = this.head;\n      for (let i = 0; i < index && node != null; i++) {\n        node = node.next;\n      }\n      return node;\n    }\n    return undefined;\n  }\n  insert(element, index) {\n    if (index >= 0 && index <= this.count) {\n      const node = new Node(element);\n      if (index === 0) {\n        const current = this.head;\n        node.next = current;\n        this.head = node;\n      } else {\n        const previous = this.getElementAt(index - 1);\n        node.next = previous.next;\n        previous.next = node;\n      }\n      this.count++;\n      return true;\n    }\n    return false;\n  }\n  removeAt(index) {\n    if (index >= 0 && index < this.count) {\n      let current = this.head;\n      if (index === 0) {\n        this.head = current.next;\n      } else {\n        const previous = this.getElementAt(index - 1);\n        current = previous.next;\n        previous.next = current.next;\n      }\n      this.count--;\n      return current.element;\n    }\n    return undefined;\n  }\n  remove(element) {\n    const index = this.indexOf(element);\n    return this.removeAt(index);\n  }\n  indexOf(element) {\n    let current = this.head;\n    for (let i = 0; i < this.size() && current != null; i++) {\n      if (this.equalsFn(element, current.element)) {\n        return i;\n      }\n      current = current.next;\n    }\n    return -1;\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    return this.count;\n  }\n  getHead() {\n    return this.head;\n  }\n  clear() {\n    this.head = undefined;\n    this.count = 0;\n  }\n  toString() {\n    if (this.head == null) {\n      return '';\n    }\n    let objString = `${this.head.element}`;\n    let current = this.head.next;\n    for (let i = 1; i < this.size() && current != null; i++) {\n      objString = `${objString},${current.element}`;\n      current = current.next;\n    }\n    return objString;\n  }\n}\n","// @ts-check\n\nexport default class Stack {\n  constructor() {\n    this.count = 0;\n    this.items = {};\n  }\n  push(element) {\n    this.items[this.count] = element;\n    this.count++;\n  }\n  pop() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    this.count--;\n    const result = this.items[this.count];\n    delete this.items[this.count];\n    return result;\n  }\n  peek() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    return this.items[this.count - 1];\n  }\n  isEmpty() {\n    return this.count === 0;\n  }\n  size() {\n    return this.count;\n  }\n  clear() {\n    /* while (!this.isEmpty()) {\n        this.pop();\n      } */\n    this.items = {};\n    this.count = 0;\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    let objString = `${this.items[0]}`;\n    for (let i = 1; i < this.count; i++) {\n      objString = `${objString},${this.items[i]}`;\n    }\n    return objString;\n  }\n}\n","import { Compare, defaultCompare, swap } from '../../util';\n\nfunction partition(array, left, right, compareFn) {\n  const pivot = array[Math.floor((right + left) / 2)];\n  let i = left;\n  let j = right;\n\n  while (i <= j) {\n    while (compareFn(array[i], pivot) === Compare.LESS_THAN) {\n      i++;\n    }\n    while (compareFn(array[j], pivot) === Compare.BIGGER_THAN) {\n      j--;\n    }\n    if (i <= j) {\n      swap(array, i, j);\n      i++;\n      j--;\n    }\n  }\n  return i;\n}\nfunction quick(array, left, right, compareFn) {\n  let index;\n  if (array.length > 1) {\n    index = partition(array, left, right, compareFn);\n    if (left < index - 1) {\n      quick(array, left, index - 1, compareFn);\n    }\n    if (index < right) {\n      quick(array, index, right, compareFn);\n    }\n  }\n  return array;\n}\nexport function quickSort(array, compareFn = defaultCompare) {\n  return quick(array, 0, array.length - 1, compareFn);\n}\n","import { defaultCompare, Compare } from '../../util';\n\nexport function findMaxValue(array, compareFn = defaultCompare) {\n  if (array && array.length > 0) {\n    let max = array[0];\n    for (let i = 1; i < array.length; i++) {\n      if (compareFn(max, array[i]) === Compare.LESS_THAN) {\n        max = array[i];\n      }\n    }\n    return max;\n  }\n  return undefined;\n}\nexport function findMinValue(array, compareFn = defaultCompare) {\n  if (array && array.length > 0) {\n    let min = array[0];\n    for (let i = 1; i < array.length; i++) {\n      if (compareFn(min, array[i]) === Compare.BIGGER_THAN) {\n        min = array[i];\n      }\n    }\n    return min;\n  }\n  return undefined;\n}\n","export class Node {\n  constructor(element, next) {\n    this.element = element;\n    this.next = next;\n  }\n}\nexport class DoublyNode extends Node {\n  constructor(element, next, prev) {\n    super(element, next);\n    this.prev = prev;\n  }\n}\n","// @ts-check\n\nexport default class Queue {\n  constructor() {\n    this.count = 0;\n    this.lowestCount = 0;\n    this.items = {};\n  }\n\n  enqueue(element) {\n    this.items[this.count] = element;\n    this.count++;\n  }\n\n  dequeue() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    const result = this.items[this.lowestCount];\n    delete this.items[this.lowestCount];\n    this.lowestCount++;\n    return result;\n  }\n\n  peek() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    return this.items[this.lowestCount];\n  }\n\n  isEmpty() {\n    return this.size() === 0;\n  }\n\n  clear() {\n    this.items = {};\n    this.count = 0;\n    this.lowestCount = 0;\n  }\n\n  size() {\n    return this.count - this.lowestCount;\n  }\n\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    let objString = `${this.items[this.lowestCount]}`;\n    for (let i = this.lowestCount + 1; i < this.count; i++) {\n      objString = `${objString},${this.items[i]}`;\n    }\n    return objString;\n  }\n}\n","import { Compare, defaultCompare } from '../../util';\n\nexport const insertionSort = (array, compareFn = defaultCompare) => {\n  const { length } = array;\n  let temp;\n  for (let i = 1; i < length; i++) {\n    let j = i;\n    temp = array[i];\n    // console.log('to be inserted ' + temp);\n    while (j > 0 && compareFn(array[j - 1], temp) === Compare.BIGGER_THAN) {\n      // console.log('shift ' + array[j - 1]);\n      array[j] = array[j - 1];\n      j--;\n    }\n    // console.log('insert ' + temp);\n    array[j] = temp;\n  }\n  return array;\n};\n","export class Node {\n  constructor(key) {\n    this.key = key;\n    this.left = undefined;\n    this.right = undefined;\n  }\n  toString() {\n    return `${this.key}`;\n  }\n}\n","import { Compare, defaultCompare } from '../util';\nimport { Node } from './models/node';\n\nexport default class BinarySearchTree {\n  constructor(compareFn = defaultCompare) {\n    this.compareFn = compareFn;\n    this.root = undefined;\n  }\n  insert(key) {\n    // special case: first key\n    if (this.root == null) {\n      this.root = new Node(key);\n    } else {\n      this.insertNode(this.root, key);\n    }\n  }\n  insertNode(node, key) {\n    if (this.compareFn(key, node.key) === Compare.LESS_THAN) {\n      if (node.left == null) {\n        node.left = new Node(key);\n      } else {\n        this.insertNode(node.left, key);\n      }\n    } else if (node.right == null) {\n      node.right = new Node(key);\n    } else {\n      this.insertNode(node.right, key);\n    }\n  }\n  getRoot() {\n    return this.root;\n  }\n  search(key) {\n    return this.searchNode(this.root, key);\n  }\n  searchNode(node, key) {\n    if (node == null) {\n      return false;\n    }\n    if (this.compareFn(key, node.key) === Compare.LESS_THAN) {\n      return this.searchNode(node.left, key);\n    } else if (this.compareFn(key, node.key) === Compare.BIGGER_THAN) {\n      return this.searchNode(node.right, key);\n    }\n    return true;\n  }\n  inOrderTraverse(callback) {\n    this.inOrderTraverseNode(this.root, callback);\n  }\n  inOrderTraverseNode(node, callback) {\n    if (node != null) {\n      this.inOrderTraverseNode(node.left, callback);\n      callback(node.key);\n      this.inOrderTraverseNode(node.right, callback);\n    }\n  }\n  preOrderTraverse(callback) {\n    this.preOrderTraverseNode(this.root, callback);\n  }\n  preOrderTraverseNode(node, callback) {\n    if (node != null) {\n      callback(node.key);\n      this.preOrderTraverseNode(node.left, callback);\n      this.preOrderTraverseNode(node.right, callback);\n    }\n  }\n  postOrderTraverse(callback) {\n    this.postOrderTraverseNode(this.root, callback);\n  }\n  postOrderTraverseNode(node, callback) {\n    if (node != null) {\n      this.postOrderTraverseNode(node.left, callback);\n      this.postOrderTraverseNode(node.right, callback);\n      callback(node.key);\n    }\n  }\n  min() {\n    return this.minNode(this.root);\n  }\n  minNode(node) {\n    let current = node;\n    while (current != null && current.left != null) {\n      current = current.left;\n    }\n    return current;\n  }\n  max() {\n    return this.maxNode(this.root);\n  }\n  maxNode(node) {\n    let current = node;\n    while (current != null && current.right != null) {\n      current = current.right;\n    }\n    return current;\n  }\n  remove(key) {\n    this.root = this.removeNode(this.root, key);\n  }\n  removeNode(node, key) {\n    if (node == null) {\n      return undefined;\n    }\n    if (this.compareFn(key, node.key) === Compare.LESS_THAN) {\n      node.left = this.removeNode(node.left, key);\n      return node;\n    } else if (this.compareFn(key, node.key) === Compare.BIGGER_THAN) {\n      node.right = this.removeNode(node.right, key);\n      return node;\n    }\n    // key is equal to node.item\n    // handle 3 special conditions\n    // 1 - a leaf node\n    // 2 - a node with only 1 child\n    // 3 - a node with 2 children\n    // case 1\n    if (node.left == null && node.right == null) {\n      node = undefined;\n      return node;\n    }\n    // case 2\n    if (node.left == null) {\n      node = node.right;\n      return node;\n    } else if (node.right == null) {\n      node = node.left;\n      return node;\n    }\n    // case 3\n    const aux = this.minNode(node.right);\n    node.key = aux.key;\n    node.right = this.removeNode(node.right, aux.key);\n    return node;\n  }\n}\n","import { defaultToString } from '../util';\nimport { ValuePair } from './models/value-pair';\n\nexport default class Dictionary {\n  constructor(toStrFn = defaultToString) {\n    this.toStrFn = toStrFn;\n    this.table = {};\n  }\n  set(key, value) {\n    if (key != null && value != null) {\n      const tableKey = this.toStrFn(key);\n      this.table[tableKey] = new ValuePair(key, value);\n      return true;\n    }\n    return false;\n  }\n  get(key) {\n    const valuePair = this.table[this.toStrFn(key)];\n    return valuePair == null ? undefined : valuePair.value;\n  }\n  hasKey(key) {\n    return this.table[this.toStrFn(key)] != null;\n  }\n  remove(key) {\n    if (this.hasKey(key)) {\n      delete this.table[this.toStrFn(key)];\n      return true;\n    }\n    return false;\n  }\n  values() {\n    return this.keyValues().map(valuePair => valuePair.value);\n  }\n  keys() {\n    return this.keyValues().map(valuePair => valuePair.key);\n  }\n  keyValues() {\n    return Object.values(this.table);\n  }\n  forEach(callbackFn) {\n    const valuePairs = this.keyValues();\n    for (let i = 0; i < valuePairs.length; i++) {\n      const result = callbackFn(valuePairs[i].key, valuePairs[i].value);\n      if (result === false) {\n        break;\n      }\n    }\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    return Object.keys(this.table).length;\n  }\n  clear() {\n    this.table = {};\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const valuePairs = this.keyValues();\n    let objString = `${valuePairs[0].toString()}`;\n    for (let i = 1; i < valuePairs.length; i++) {\n      objString = `${objString},${valuePairs[i].toString()}`;\n    }\n    return objString;\n  }\n}\n","import { defaultEquals } from '../util';\nimport LinkedList from './linked-list';\nimport { DoublyNode } from './models/linked-list-models';\n\nexport default class DoublyLinkedList extends LinkedList {\n  constructor(equalsFn = defaultEquals) {\n    super(equalsFn);\n    this.tail = undefined;\n  }\n  push(element) {\n    const node = new DoublyNode(element);\n    if (this.head == null) {\n      this.head = node;\n      this.tail = node; // NEW\n    } else {\n      // attach to the tail node // NEW\n      this.tail.next = node;\n      node.prev = this.tail;\n      this.tail = node;\n    }\n    this.count++;\n  }\n  insert(element, index) {\n    if (index >= 0 && index <= this.count) {\n      const node = new DoublyNode(element);\n      let current = this.head;\n      if (index === 0) {\n        if (this.head == null) { // NEW\n          this.head = node;\n          this.tail = node; // NEW\n        } else {\n          node.next = this.head;\n          this.head.prev = node; // NEW\n          this.head = node;\n        }\n      } else if (index === this.count) { // last item NEW\n        current = this.tail;\n        current.next = node;\n        node.prev = current;\n        this.tail = node;\n      } else {\n        const previous = this.getElementAt(index - 1);\n        current = previous.next;\n        node.next = current;\n        previous.next = node;\n        current.prev = node; // NEW\n        node.prev = previous; // NEW\n      }\n      this.count++;\n      return true;\n    }\n    return false;\n  }\n  removeAt(index) {\n    if (index >= 0 && index < this.count) {\n      let current = this.head;\n      if (index === 0) {\n        this.head = this.head.next;\n        // if there is only one item, then we update tail as well //NEW\n        if (this.count === 1) {\n          // {2}\n          this.tail = undefined;\n        } else {\n          this.head.prev = undefined;\n        }\n      } else if (index === this.count - 1) {\n        // last item //NEW\n        current = this.tail;\n        this.tail = current.prev;\n        this.tail.next = undefined;\n      } else {\n        current = this.getElementAt(index);\n        const previous = current.prev;\n        // link previous with current's next - skip it to remove\n        previous.next = current.next;\n        current.next.prev = previous; // NEW\n      }\n      this.count--;\n      return current.element;\n    }\n    return undefined;\n  }\n  indexOf(element) {\n    let current = this.head;\n    let index = 0;\n    while (current != null) {\n      if (this.equalsFn(element, current.element)) {\n        return index;\n      }\n      index++;\n      current = current.next;\n    }\n    return -1;\n  }\n  getHead() {\n    return this.head;\n  }\n  getTail() {\n    return this.tail;\n  }\n  clear() {\n    super.clear();\n    this.tail = undefined;\n  }\n  toString() {\n    if (this.head == null) {\n      return '';\n    }\n    let objString = `${this.head.element}`;\n    let current = this.head.next;\n    while (current != null) {\n      objString = `${objString},${current.element}`;\n      current = current.next;\n    }\n    return objString;\n  }\n  inverseToString() {\n    if (this.tail == null) {\n      return '';\n    }\n    let objString = `${this.tail.element}`;\n    let previous = this.tail.prev;\n    while (previous != null) {\n      objString = `${objString},${previous.element}`;\n      previous = previous.prev;\n    }\n    return objString;\n  }\n}\n","// @ts-check\n\nexport default class Deque {\n  constructor() {\n    this.count = 0;\n    this.lowestCount = 0;\n    this.items = {};\n  }\n\n  addFront(element) {\n    if (this.isEmpty()) {\n      this.addBack(element);\n    } else if (this.lowestCount > 0) {\n      this.lowestCount--;\n      this.items[this.lowestCount] = element;\n    } else {\n      for (let i = this.count; i > 0; i--) {\n        this.items[i] = this.items[i - 1];\n      }\n      this.count++;\n      this.items[0] = element;\n    }\n  }\n\n  addBack(element) {\n    this.items[this.count] = element;\n    this.count++;\n  }\n\n  removeFront() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    const result = this.items[this.lowestCount];\n    delete this.items[this.lowestCount];\n    this.lowestCount++;\n    return result;\n  }\n\n  removeBack() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    this.count--;\n    const result = this.items[this.count];\n    delete this.items[this.count];\n    return result;\n  }\n\n  peekFront() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    return this.items[this.lowestCount];\n  }\n\n  peekBack() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    return this.items[this.count - 1];\n  }\n\n  isEmpty() {\n    return this.size() === 0;\n  }\n\n  clear() {\n    this.items = {};\n    this.count = 0;\n    this.lowestCount = 0;\n  }\n\n  size() {\n    return this.count - this.lowestCount;\n  }\n\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    let objString = `${this.items[this.lowestCount]}`;\n    for (let i = this.lowestCount + 1; i < this.count; i++) {\n      objString = `${objString},${this.items[i]}`;\n    }\n    return objString;\n  }\n}\n","export const floydWarshall = graph => {\n  const dist = [];\n  const { length } = graph;\n  for (let i = 0; i < length; i++) {\n    dist[i] = [];\n    for (let j = 0; j < length; j++) {\n      if (i === j) {\n        dist[i][j] = 0;\n      } else if (!isFinite(graph[i][j])) {\n        dist[i][j] = Infinity;\n      } else {\n        dist[i][j] = graph[i][j];\n      }\n    }\n  }\n  for (let k = 0; k < length; k++) {\n    for (let i = 0; i < length; i++) {\n      for (let j = 0; j < length; j++) {\n        if (dist[i][k] + dist[k][j] < dist[i][j]) {\n          dist[i][j] = dist[i][k] + dist[k][j];\n        }\n      }\n    }\n  }\n  return dist;\n};\n","const UNASSIGNED = 0;\n\nfunction usedInRow(matrix, row, num) {\n  for (let col = 0; col < matrix.length; col++) {\n    if (matrix[row][col] === num) {\n      return true;\n    }\n  }\n  return false;\n}\n\nfunction usedInCol(matrix, col, num) {\n  for (let row = 0; row < matrix.length; row++) {\n    if (matrix[row][col] === num) {\n      return true;\n    }\n  }\n  return false;\n}\n\nfunction usedInBox(matrix, boxStartRow, boxStartCol, num) {\n  for (let row = 0; row < 3; row++) {\n    for (let col = 0; col < 3; col++) {\n      if (matrix[row + boxStartRow][col + boxStartCol] === num) {\n        return true;\n      }\n    }\n  }\n  return false;\n}\n\nfunction isSafe(matrix, row, col, num) {\n  return (\n    !usedInRow(matrix, row, num) &&\n    !usedInCol(matrix, col, num) &&\n    !usedInBox(matrix, row - (row % 3), col - (col % 3), num)\n  );\n}\nfunction solveSudoku(matrix) {\n  let row = 0;\n  let col = 0;\n  let checkBlankSpaces = false;\n\n  for (row = 0; row < matrix.length; row++) {\n    for (col = 0; col < matrix[row].length; col++) {\n      if (matrix[row][col] === UNASSIGNED) {\n        checkBlankSpaces = true;\n        break;\n      }\n    }\n    if (checkBlankSpaces === true) {\n      break;\n    }\n  }\n  if (checkBlankSpaces === false) {\n    return true;\n  }\n\n  for (let num = 1; num <= 9; num++) {\n    if (isSafe(matrix, row, col, num)) {\n      matrix[row][col] = num;\n      if (solveSudoku(matrix)) {\n        return true;\n      }\n      matrix[row][col] = UNASSIGNED;\n    }\n  }\n  return false;\n}\n\nexport function sudokuSolver(matrix) {\n  if (solveSudoku(matrix) === true) {\n    return matrix;\n  }\n  return 'NO SOLUTION EXISTS!';\n}\n","function isSafe(maze, x, y) {\n  const n = maze.length;\n  if (x >= 0 && y >= 0 && x < n && y < n && maze[x][y] !== 0) {\n    return true;\n  }\n  return false;\n}\n\nfunction findPath(maze, x, y, solution) {\n  const n = maze.length;\n  if (x === n - 1 && y === n - 1) {\n    solution[x][y] = 1;\n    return true;\n  }\n  if (isSafe(maze, x, y) === true) {\n    solution[x][y] = 1;\n    if (findPath(maze, x + 1, y, solution)) {\n      return true;\n    }\n    if (findPath(maze, x, y + 1, solution)) {\n      return true;\n    }\n    solution[x][y] = 0;\n    return false;\n  }\n  return false;\n}\n\nexport function ratInAMaze(maze) {\n  const solution = [];\n  for (let i = 0; i < maze.length; i++) {\n    solution[i] = [];\n    for (let j = 0; j < maze[i].length; j++) {\n      solution[i][j] = 0;\n    }\n  }\n  if (findPath(maze, 0, 0, solution) === true) {\n    return solution;\n  }\n  return 'NO PATH FOUND';\n}\n","export function matrixChainOrder(p, i = 1, j = p.length - 1) {\n  if (i === j) {\n    return 0;\n  }\n  let min = Number.MAX_SAFE_INTEGER;\n  for (let k = i; k < j; k++) {\n    const count =\n      matrixChainOrder(p, i, k) + matrixChainOrder(p, k + 1, j) + ((p[i - 1] * p[k]) * p[j]);\n    if (count < min) {\n      min = count;\n    }\n  }\n  return min;\n}\n","function printOptimalParenthesis(s, i, j) {\n  if (i === j) {\n    // console.log('A[' + i + ']');\n  } else {\n    // console.log('(');\n    printOptimalParenthesis(s, i, s[i][j]);\n    printOptimalParenthesis(s, s[i][j] + 1, j);\n    // console.log(')');\n  }\n}\n\nexport function matrixChainOrder(p) {\n  const n = p.length;\n  const m = [];\n  const s = [];\n  for (let i = 1; i <= n; i++) {\n    m[i] = [];\n    m[i][i] = 0;\n  }\n  for (let i = 0; i <= n; i++) {\n    // to help printing the optimal solution\n    s[i] = []; // auxiliary\n    for (let j = 0; j <= n; j++) {\n      s[i][j] = 0;\n    }\n  }\n  for (let l = 2; l < n; l++) {\n    for (let i = 1; i <= (n - l) + 1; i++) {\n      const j = (i + l) - 1;\n      m[i][j] = Number.MAX_SAFE_INTEGER;\n      for (let k = i; k <= j - 1; k++) {\n        // q = cost/scalar multiplications\n        const q = m[i][k] + m[k + 1][j] + ((p[i - 1] * p[k]) * p[j]);\n        if (q < m[i][j]) {\n          m[i][j] = q;\n          s[i][j] = k; // s[i,j] = Second auxiliary table that stores k\n        }\n      }\n    }\n  }\n  // console.log(m);\n  // console.log(s);\n  printOptimalParenthesis(s, 1, n - 1);\n  return m[1][n - 1];\n}\n\n","export function lcs(wordX, wordY, m = wordX.length, n = wordY.length) {\n  if (m === 0 || n === 0) {\n    return 0;\n  }\n  if (wordX[m - 1] === wordY[n - 1]) {\n    return 1 + lcs(wordX, wordY, m - 1, n - 1);\n  }\n  const a = lcs(wordX, wordY, m, n - 1);\n  const b = lcs(wordX, wordY, m - 1, n);\n  return a > b ? a : b;\n}\n","function printSolution(solution, wordX, m, n) {\n  let a = m;\n  let b = n;\n  let x = solution[a][b];\n  let answer = '';\n  while (x !== '0') {\n    if (solution[a][b] === 'diagonal') {\n      answer = wordX[a - 1] + answer;\n      a--;\n      b--;\n    } else if (solution[a][b] === 'left') {\n      b--;\n    } else if (solution[a][b] === 'top') {\n      a--;\n    }\n    x = solution[a][b];\n  }\n  return answer;\n}\nexport function lcs(wordX, wordY) {\n  const m = wordX.length;\n  const n = wordY.length;\n  const l = [];\n  const solution = [];\n  for (let i = 0; i <= m; i++) {\n    l[i] = [];\n    solution[i] = [];\n    for (let j = 0; j <= n; j++) {\n      l[i][j] = 0;\n      solution[i][j] = '0';\n    }\n  }\n  for (let i = 0; i <= m; i++) {\n    for (let j = 0; j <= n; j++) {\n      if (i === 0 || j === 0) {\n        l[i][j] = 0;\n      } else if (wordX[i - 1] === wordY[j - 1]) {\n        l[i][j] = l[i - 1][j - 1] + 1;\n        solution[i][j] = 'diagonal';\n      } else {\n        const a = l[i - 1][j];\n        const b = l[i][j - 1];\n        l[i][j] = a > b ? a : b; // max(a,b)\n        solution[i][j] = l[i][j] === l[i - 1][j] ? 'top' : 'left';\n      }\n    }\n    // console.log(l[i].join());\n    // console.log(solution[i].join());\n  }\n  return printSolution(solution, wordX, m, n);\n}\n","export function lcs(wordX, wordY) {\n  const m = wordX.length;\n  const n = wordY.length;\n  const l = [];\n  for (let i = 0; i <= m; i++) {\n    l[i] = [];\n    for (let j = 0; j <= n; j++) {\n      l[i][j] = 0;\n    }\n  }\n  for (let i = 0; i <= m; i++) {\n    for (let j = 0; j <= n; j++) {\n      if (i === 0 || j === 0) {\n        l[i][j] = 0;\n      } else if (wordX[i - 1] === wordY[j - 1]) {\n        l[i][j] = l[i - 1][j - 1] + 1;\n      } else {\n        const a = l[i - 1][j];\n        const b = l[i][j - 1];\n        l[i][j] = a > b ? a : b; // max(a,b)\n      }\n    }\n    // console.log(l[i].join());\n  }\n  return l[m][n];\n}\n","export function knapSack(capacity, weights, values) {\n  const n = values.length;\n  let load = 0;\n  let val = 0;\n  for (let i = 0; i < n && load < capacity; i++) {\n    if (weights[i] <= capacity - load) {\n      val += values[i];\n      load += weights[i];\n      // console.log('using item ' + (i + 1) + ' for the solution');\n    } else {\n      const r = (capacity - load) / weights[i];\n      val += r * values[i];\n      load += weights[i];\n      // console.log('using ratio of ' + r + ' for item ' + (i + 1) + ' for the solution');\n    }\n  }\n  return val;\n}\n","export function knapSack(capacity, weights, values, n) {\n  if (n === 0 || capacity === 0) {\n    return 0;\n  }\n  if (weights[n - 1] > capacity) {\n    return knapSack(capacity, weights, values, n - 1);\n  }\n  const a = values[n - 1] + knapSack(capacity - weights[n - 1], weights, values, n - 1);\n  const b = knapSack(capacity, weights, values, n - 1);\n  return a > b ? a : b;\n}\n","function findValues(n, capacity, kS) {\n  let i = n;\n  let k = capacity;\n  // console.log('Items that are part of the solution:');\n  while (i > 0 && k > 0) {\n    if (kS[i][k] !== kS[i - 1][k]) {\n      // console.log(\n      //  item ' + i + ' can be part of solution w,v: ' + weights[i - 1] + ',' + values[i - 1]\n      //  );\n      i--;\n      k -= kS[i][k];\n    } else {\n      i--;\n    }\n  }\n}\n\nexport function knapSack(capacity, weights, values, n) {\n  const kS = [];\n  for (let i = 0; i <= n; i++) {\n    kS[i] = [];\n  }\n  for (let i = 0; i <= n; i++) {\n    for (let w = 0; w <= capacity; w++) {\n      if (i === 0 || w === 0) {\n        kS[i][w] = 0;\n      } else if (weights[i - 1] <= w) {\n        const a = values[i - 1] + kS[i - 1][w - weights[i - 1]];\n        const b = kS[i - 1][w];\n        kS[i][w] = a > b ? a : b; // max(a,b)\n        // console.log(a + ' can be part of the solution');\n      } else {\n        kS[i][w] = kS[i - 1][w];\n      }\n    }\n    // console.log(kS[i].join());\n  }\n  // extra algorithm to find the items that are part of the solution\n  findValues(n, capacity, kS);\n  return kS[n][capacity];\n}\n","export function minCoinChange(coins, amount) {\n  const change = [];\n  let total = 0;\n  for (let i = coins.length; i >= 0; i--) {\n    const coin = coins[i];\n    while (total + coin <= amount) {\n      change.push(coin);\n      total += coin;\n    }\n  }\n  return change;\n}\n","export function minCoinChange(coins, amount) {\n  const cache = [];\n\n  const makeChange = (value) => {\n    if (!value) {\n      return [];\n    }\n    if (cache[value]) {\n      return cache[value];\n    }\n    let min = [];\n    let newMin;\n    let newAmount;\n    for (let i = 0; i < coins.length; i++) {\n      const coin = coins[i];\n      newAmount = value - coin;\n      if (newAmount >= 0) {\n        newMin = makeChange(newAmount);\n      }\n      if (\n        newAmount >= 0 &&\n        (newMin.length < min.length - 1 || !min.length) &&\n        (newMin.length || !newAmount)\n      ) {\n        min = [coin].concat(newMin);\n        // console.log('new Min ' + min + ' for ' + amount);\n      }\n    }\n    return (cache[value] = min);\n  };\n  return makeChange(amount);\n}\n","import { Compare, defaultCompare, DOES_NOT_EXIST } from '../../util';\nimport { quickSort } from '../sorting/quicksort';\n\nfunction binarySearchRecursive(array, value, low, high, compareFn = defaultCompare) {\n  if (low <= high) {\n    const mid = Math.floor((low + high) / 2);\n    const element = array[mid];\n    if (compareFn(element, value) === Compare.LESS_THAN) {\n      return binarySearchRecursive(array, value, mid + 1, high, compareFn);\n    }\n    if (compareFn(element, value) === Compare.BIGGER_THAN) {\n      return binarySearchRecursive(array, value, low, mid - 1, compareFn);\n    }\n    return mid;\n  }\n  return DOES_NOT_EXIST;\n}\n\nexport function binarySearch(array, value, compareFn = defaultCompare) {\n  const sortedArray = quickSort(array);\n  const low = 0;\n  const high = sortedArray.length - 1;\n  return binarySearchRecursive(array, value, low, high, compareFn);\n}\n","import { defaultEquals, DOES_NOT_EXIST } from '../../util';\n\nexport function sequentialSearch(array, value, equalsFn = defaultEquals) {\n  for (let i = 0; i < array.length; i++) {\n    if (equalsFn(value, array[i])) {\n      return i;\n    }\n  }\n  return DOES_NOT_EXIST;\n}\n","import {\n  biggerEquals,\n  Compare,\n  defaultCompare,\n  defaultEquals,\n  defaultDiff,\n  DOES_NOT_EXIST,\n  lesserEquals\n} from '../../util';\n\nexport function interpolationSearch(\n  array,\n  value,\n  compareFn = defaultCompare,\n  equalsFn = defaultEquals,\n  diffFn = defaultDiff\n) {\n  const { length } = array;\n  let low = 0;\n  let high = length - 1;\n  let position = -1;\n  let delta = -1;\n  while (\n    low <= high &&\n    biggerEquals(value, array[low], compareFn) &&\n    lesserEquals(value, array[high], compareFn)\n  ) {\n    delta = diffFn(value, array[low]) / diffFn(array[high], array[low]);\n    position = low + Math.floor((high - low) * delta);\n    if (equalsFn(array[position], value)) {\n      return position;\n    }\n    if (compareFn(array[position], value) === Compare.LESS_THAN) {\n      low = position + 1;\n    } else {\n      high = position - 1;\n    }\n  }\n  return DOES_NOT_EXIST;\n}\n","import { Compare, defaultCompare, DOES_NOT_EXIST } from '../../util';\nimport { quickSort } from '../sorting/quicksort';\n\nexport function binarySearch(array, value, compareFn = defaultCompare) {\n  const sortedArray = quickSort(array);\n  let low = 0;\n  let high = sortedArray.length - 1;\n  while (low <= high) {\n    const mid = Math.floor((low + high) / 2);\n    const element = sortedArray[mid];\n    // console.log('mid element is ' + element);\n    if (compareFn(element, value) === Compare.LESS_THAN) {\n      low = mid + 1;\n      // console.log('low is ' + low);\n    } else if (compareFn(element, value) === Compare.BIGGER_THAN) {\n      high = mid - 1;\n      // console.log('high is ' + high);\n    } else {\n      // console.log('found it');\n      return mid;\n    }\n  }\n  return DOES_NOT_EXIST;\n}\n","import { Compare, defaultCompare } from '../../util';\n\nexport function shellSort(array, compareFn = defaultCompare) {\n  let increment = array.length / 2;\n  while (increment > 0) {\n    for (let i = increment; i < array.length; i++) {\n      let j = i;\n      const temp = array[i];\n      while (j >= increment && compareFn(array[j - increment], temp) === Compare.BIGGER_THAN) {\n        array[j] = array[j - increment];\n        j -= increment;\n      }\n      array[j] = temp;\n    }\n    if (increment === 2) {\n      increment = 1;\n    } else {\n      increment = Math.floor((increment * 5) / 11);\n    }\n  }\n  return array;\n}\n","import { Compare, defaultCompare, swap } from '../../util';\n\nexport const selectionSort = (array, compareFn = defaultCompare) => {\n  const { length } = array;\n  let indexMin;\n  for (let i = 0; i < length - 1; i++) {\n    indexMin = i;\n    // console.log('index ' + array[i]);\n    for (let j = i; j < length; j++) {\n      if (compareFn(array[indexMin], array[j]) === Compare.BIGGER_THAN) {\n        // console.log('new index min ' + array[j]);\n        indexMin = j;\n      }\n    }\n    if (i !== indexMin) {\n      // console.log('swap ' + array[i] + ' with ' + array[indexMin]);\n      swap(array, i, indexMin);\n    }\n  }\n  return array;\n};\n","import { findMaxValue, findMinValue } from '../search/min-max-search';\n\nconst getBucketIndex = (value, minValue, significantDigit, radixBase) =>\n  Math.floor(((value - minValue) / significantDigit) % radixBase);\n\nconst countingSortForRadix = (array, radixBase, significantDigit, minValue) => {\n  let bucketsIndex;\n  const buckets = [];\n  const aux = [];\n  for (let i = 0; i < radixBase; i++) {\n    buckets[i] = 0;\n  }\n  for (let i = 0; i < array.length; i++) {\n    bucketsIndex = getBucketIndex(array[i], minValue, significantDigit, radixBase);\n    buckets[bucketsIndex]++;\n  }\n  for (let i = 1; i < radixBase; i++) {\n    buckets[i] += buckets[i - 1];\n  }\n  for (let i = array.length - 1; i >= 0; i--) {\n    bucketsIndex = getBucketIndex(array[i], minValue, significantDigit, radixBase);\n    aux[--buckets[bucketsIndex]] = array[i];\n  }\n  for (let i = 0; i < array.length; i++) {\n    array[i] = aux[i];\n  }\n  return array;\n};\nexport function radixSort(array, radixBase = 10) {\n  if (array.length < 2) {\n    return array;\n  }\n  const minValue = findMinValue(array);\n  const maxValue = findMaxValue(array);\n  // Perform counting sort for each significant digit, starting at 1\n  let significantDigit = 1;\n  while ((maxValue - minValue) / significantDigit >= 1) {\n    // console.log('radix sort for digit ' + significantDigit);\n    array = countingSortForRadix(array, radixBase, significantDigit, minValue);\n    // console.log(array.join());\n    significantDigit *= radixBase;\n  }\n  return array;\n}\n","import { Compare, defaultCompare } from '../../util';\n\nfunction merge(left, right, compareFn) {\n  let i = 0;\n  let j = 0;\n  const result = [];\n  while (i < left.length && j < right.length) {\n    result.push(compareFn(left[i], right[j]) === Compare.LESS_THAN ? left[i++] : right[j++]);\n  }\n  return result.concat(i < left.length ? left.slice(i) : right.slice(j));\n}\nexport function mergeSort(array, compareFn = defaultCompare) {\n  if (array.length > 1) {\n    const { length } = array;\n    const middle = Math.floor(length / 2);\n    const left = mergeSort(array.slice(0, middle), compareFn);\n    const right = mergeSort(array.slice(middle, length), compareFn);\n    array = merge(left, right, compareFn);\n  }\n  return array;\n}\n","import { findMaxValue } from '../search/min-max-search';\n\nexport function countingSort(array) {\n  if (array.length < 2) {\n    return array;\n  }\n  const maxValue = findMaxValue(array);\n  let sortedIndex = 0;\n  const counts = new Array(maxValue + 1);\n  array.forEach(element => {\n    if (!counts[element]) {\n      counts[element] = 0;\n    }\n    counts[element]++;\n  });\n  // console.log('Frequencies: ' + counts.join());\n  counts.forEach((element, i) => {\n    while (element > 0) {\n      array[sortedIndex++] = i;\n      element--;\n    }\n  });\n  return array;\n}\n","import { insertionSort } from './insertion-sort';\n\nfunction createBuckets(array, bucketSize) {\n  let minValue = array[0];\n  let maxValue = array[0];\n  for (let i = 1; i < array.length; i++) {\n    if (array[i] < minValue) {\n      minValue = array[i];\n    } else if (array[i] > maxValue) {\n      maxValue = array[i];\n    }\n  }\n  const bucketCount = Math.floor((maxValue - minValue) / bucketSize) + 1;\n  const buckets = [];\n  for (let i = 0; i < bucketCount; i++) {\n    buckets[i] = [];\n  }\n  for (let i = 0; i < array.length; i++) {\n    buckets[Math.floor((array[i] - minValue) / bucketSize)].push(array[i]);\n  }\n  return buckets;\n}\nfunction sortBuckets(buckets) {\n  const sortedArray = [];\n  for (let i = 0; i < buckets.length; i++) {\n    if (buckets[i] != null) {\n      insertionSort(buckets[i]);\n      sortedArray.push(...buckets[i]);\n    }\n  }\n  return sortedArray;\n}\nexport function bucketSort(array, bucketSize = 5) {\n  if (array.length < 2) {\n    return array;\n  }\n  const buckets = createBuckets(array, bucketSize);\n  return sortBuckets(buckets);\n}\n","import { Compare, defaultCompare, swap } from '../../util';\n\nexport function modifiedBubbleSort(array, compareFn = defaultCompare) {\n  const { length } = array;\n  for (let i = 0; i < length; i++) {\n    // console.log('--- ');\n    for (let j = 0; j < length - 1 - i; j++) {\n      // console.log('compare ' + array[j] + ' with ' + array[j + 1]);\n      if (compareFn(array[j], array[j + 1]) === Compare.BIGGER_THAN) {\n        // console.log('swap ' + array[j] + ' with ' + array[j + 1]);\n        swap(array, j, j + 1);\n      }\n    }\n  }\n  return array;\n}\n","import { Compare, defaultCompare, swap } from '../../util';\n\nexport function bubbleSort(array, compareFn = defaultCompare) {\n  const { length } = array;\n  for (let i = 0; i < length; i++) {\n    // console.log('--- ');\n    for (let j = 0; j < length - 1; j++) {\n      // console.log('compare ' + array[j] + ' with ' + array[j + 1]);\n      if (compareFn(array[j], array[j + 1]) === Compare.BIGGER_THAN) {\n        // console.log('swap ' + array[j] + ' with ' + array[j + 1]);\n        swap(array, j, j + 1);\n      }\n    }\n  }\n  return array;\n}\n","import { swap } from '../../util';\n\nexport function shuffle(array) {\n  let currentIndex = array.length;\n  while (currentIndex !== 0) {\n    const randomIndex = Math.floor(Math.random() * currentIndex);\n    currentIndex--;\n    swap(array, currentIndex, randomIndex);\n  }\n  return array;\n}\n","const INF = Number.MAX_SAFE_INTEGER;\nconst find = (i, parent) => {\n  while (parent[i]) {\n    i = parent[i]; // eslint-disable-line prefer-destructuring\n  }\n  return i;\n};\nconst union = (i, j, parent) => {\n  if (i !== j) {\n    parent[j] = i;\n    return true;\n  }\n  return false;\n};\nconst initializeCost = graph => {\n  const cost = [];\n  const { length } = graph;\n  for (let i = 0; i < length; i++) {\n    cost[i] = [];\n    for (let j = 0; j < length; j++) {\n      if (graph[i][j] === 0) {\n        cost[i][j] = INF;\n      } else {\n        cost[i][j] = graph[i][j];\n      }\n    }\n  }\n  return cost;\n};\nexport const kruskal = graph => {\n  const { length } = graph;\n  const parent = [];\n  let ne = 0;\n  let a;\n  let b;\n  let u;\n  let v;\n  const cost = initializeCost(graph);\n  while (ne < length - 1) {\n    for (let i = 0, min = INF; i < length; i++) {\n      for (let j = 0; j < length; j++) {\n        if (cost[i][j] < min) {\n          min = cost[i][j];\n          a = u = i;\n          b = v = j;\n        }\n      }\n    }\n    u = find(u, parent);\n    v = find(v, parent);\n    if (union(u, v, parent)) {\n      ne++;\n    }\n    cost[a][b] = cost[b][a] = INF;\n  }\n  return parent;\n};\n","const INF = Number.MAX_SAFE_INTEGER;\nconst minKey = (graph, key, visited) => {\n  // Initialize min value\n  let min = INF;\n  let minIndex = 0;\n  for (let v = 0; v < graph.length; v++) {\n    if (visited[v] === false && key[v] < min) {\n      min = key[v];\n      minIndex = v;\n    }\n  }\n  return minIndex;\n};\nexport const prim = graph => {\n  const parent = [];\n  const key = [];\n  const visited = [];\n  const { length } = graph;\n  for (let i = 0; i < length; i++) {\n    key[i] = INF;\n    visited[i] = false;\n  }\n  key[0] = 0;\n  parent[0] = -1;\n  for (let i = 0; i < length - 1; i++) {\n    const u = minKey(graph, key, visited);\n    visited[u] = true;\n    for (let v = 0; v < length; v++) {\n      if (graph[u][v] && !visited[v] && graph[u][v] < key[v]) {\n        parent[v] = u;\n        key[v] = graph[u][v];\n      }\n    }\n  }\n  return parent;\n};\n","const INF = Number.MAX_SAFE_INTEGER;\nconst minDistance = (dist, visited) => {\n  let min = INF;\n  let minIndex = -1;\n  for (let v = 0; v < dist.length; v++) {\n    if (visited[v] === false && dist[v] <= min) {\n      min = dist[v];\n      minIndex = v;\n    }\n  }\n  return minIndex;\n};\nexport const dijkstra = (graph, src) => {\n  const dist = [];\n  const visited = [];\n  const { length } = graph;\n  for (let i = 0; i < length; i++) {\n    dist[i] = INF;\n    visited[i] = false;\n  }\n  dist[src] = 0;\n  for (let i = 0; i < length - 1; i++) {\n    const u = minDistance(dist, visited);\n    visited[u] = true;\n    for (let v = 0; v < length; v++) {\n      if (!visited[v] && graph[u][v] !== 0 && dist[u] !== INF && dist[u] + graph[u][v] < dist[v]) {\n        dist[v] = dist[u] + graph[u][v];\n      }\n    }\n  }\n  return dist;\n};\n","// import Graph from '../../data-structures/graph';\n\nconst Colors = {\n  WHITE: 0,\n  GREY: 1,\n  BLACK: 2\n};\n\nconst initializeColor = vertices => {\n  const color = {};\n  for (let i = 0; i < vertices.length; i++) {\n    color[vertices[i]] = Colors.WHITE;\n  }\n  return color;\n};\n\nconst depthFirstSearchVisit = (u, color, adjList, callback) => {\n  color[u] = Colors.GREY;\n  if (callback) {\n    callback(u);\n  }\n  // console.log('Discovered ' + u);\n  const neighbors = adjList.get(u);\n  for (let i = 0; i < neighbors.length; i++) {\n    const w = neighbors[i];\n    if (color[w] === Colors.WHITE) {\n      depthFirstSearchVisit(w, color, adjList, callback);\n    }\n  }\n  color[u] = Colors.BLACK;\n  // console.log('explored ' + u);\n};\n\nexport const depthFirstSearch = (graph, callback) => {\n  const vertices = graph.getVertices();\n  const adjList = graph.getAdjList();\n  const color = initializeColor(vertices);\n\n  for (let i = 0; i < vertices.length; i++) {\n    if (color[vertices[i]] === Colors.WHITE) {\n      depthFirstSearchVisit(vertices[i], color, adjList, callback);\n    }\n  }\n};\n\nconst DFSVisit = (u, color, d, f, p, time, adjList) => {\n  // console.log('discovered ' + u);\n  color[u] = Colors.GREY;\n  d[u] = ++time.count;\n  const neighbors = adjList.get(u);\n  for (let i = 0; i < neighbors.length; i++) {\n    const w = neighbors[i];\n    if (color[w] === Colors.WHITE) {\n      p[w] = u;\n      DFSVisit(w, color, d, f, p, time, adjList);\n    }\n  }\n  color[u] = Colors.BLACK;\n  f[u] = ++time.count;\n  // console.log('explored ' + u);\n};\n\nexport const DFS = graph => {\n  const vertices = graph.getVertices();\n  const adjList = graph.getAdjList();\n  const color = initializeColor(vertices);\n  const d = {};\n  const f = {};\n  const p = {};\n  const time = { count: 0 };\n  for (let i = 0; i < vertices.length; i++) {\n    f[vertices[i]] = 0;\n    d[vertices[i]] = 0;\n    p[vertices[i]] = null;\n  }\n  for (let i = 0; i < vertices.length; i++) {\n    if (color[vertices[i]] === Colors.WHITE) {\n      DFSVisit(vertices[i], color, d, f, p, time, adjList);\n    }\n  }\n  return {\n    discovery: d,\n    finished: f,\n    predecessors: p\n  };\n};\n","import Queue from '../../data-structures/queue';\n\nconst Colors = {\n  WHITE: 0,\n  GREY: 1,\n  BLACK: 2\n};\n\nconst initializeColor = vertices => {\n  const color = {};\n  for (let i = 0; i < vertices.length; i++) {\n    color[vertices[i]] = Colors.WHITE;\n  }\n  return color;\n};\n\nexport const breadthFirstSearch = (graph, startVertex, callback) => {\n  const vertices = graph.getVertices();\n  const adjList = graph.getAdjList();\n  const color = initializeColor(vertices);\n  const queue = new Queue();\n\n  queue.enqueue(startVertex);\n\n  while (!queue.isEmpty()) {\n    const u = queue.dequeue();\n    const neighbors = adjList.get(u);\n    color[u] = Colors.GREY;\n    for (let i = 0; i < neighbors.length; i++) {\n      const w = neighbors[i];\n      if (color[w] === Colors.WHITE) {\n        color[w] = Colors.GREY;\n        queue.enqueue(w);\n      }\n    }\n    color[u] = Colors.BLACK;\n    if (callback) {\n      callback(u);\n    }\n  }\n};\n\nexport const BFS = (graph, startVertex) => {\n  const vertices = graph.getVertices();\n  const adjList = graph.getAdjList();\n  const color = initializeColor(vertices);\n  const queue = new Queue();\n  const distances = {};\n  const predecessors = {};\n  queue.enqueue(startVertex);\n  for (let i = 0; i < vertices.length; i++) {\n    distances[vertices[i]] = 0;\n    predecessors[vertices[i]] = null;\n  }\n  while (!queue.isEmpty()) {\n    const u = queue.dequeue();\n    const neighbors = adjList.get(u);\n    color[u] = Colors.GREY;\n    for (let i = 0; i < neighbors.length; i++) {\n      const w = neighbors[i];\n      if (color[w] === Colors.WHITE) {\n        color[w] = Colors.GREY;\n        distances[w] = distances[u] + 1;\n        predecessors[w] = u;\n        queue.enqueue(w);\n      }\n    }\n    color[u] = Colors.BLACK;\n  }\n  return {\n    distances,\n    predecessors\n  };\n};\n","import Dictionary from './dictionary';\n\nexport default class Graph {\n  constructor(isDirected = false) {\n    this.isDirected = isDirected;\n    this.vertices = [];\n    this.adjList = new Dictionary();\n  }\n  addVertex(v) {\n    if (!this.vertices.includes(v)) {\n      this.vertices.push(v);\n      this.adjList.set(v, []); // initialize adjacency list with array as well;\n    }\n  }\n  addEdge(a, b) {\n    if (!this.adjList.get(a)) {\n      this.addVertex(a);\n    }\n    if (!this.adjList.get(b)) {\n      this.addVertex(b);\n    }\n    this.adjList.get(a).push(b);\n    if (this.isDirected !== true) {\n      this.adjList.get(b).push(a);\n    }\n  }\n  getVertices() {\n    return this.vertices;\n  }\n  getAdjList() {\n    return this.adjList;\n  }\n  toString() {\n    let s = '';\n    for (let i = 0; i < this.vertices.length; i++) {\n      s += `${this.vertices[i]} -> `;\n      const neighbors = this.adjList.get(this.vertices[i]);\n      for (let j = 0; j < neighbors.length; j++) {\n        s += `${neighbors[j]} `;\n      }\n      s += '\\n';\n    }\n    return s;\n  }\n}\n","import { defaultCompare, swap } from '../../util';\n\nfunction heapify(array, index, heapSize, compareFn) {\n  let largest = index;\n  const left = (2 * index) + 1;\n  const right = (2 * index) + 2;\n  if (left < heapSize && compareFn(array[left], array[index]) > 0) {\n    largest = left;\n  }\n  if (right < heapSize && compareFn(array[right], array[largest]) > 0) {\n    largest = right;\n  }\n  if (largest !== index) {\n    swap(array, index, largest);\n    heapify(array, largest, heapSize, compareFn);\n  }\n}\n\nfunction buildMaxHeap(array, compareFn) {\n  for (let i = Math.floor(array.length / 2); i >= 0; i -= 1) {\n    heapify(array, i, array.length, compareFn);\n  }\n  return array;\n}\n\nexport default function heapSort(array, compareFn = defaultCompare) {\n  let heapSize = array.length;\n  buildMaxHeap(array, compareFn);\n  while (heapSize > 1) {\n    swap(array, 0, --heapSize);\n    heapify(array, 0, heapSize, compareFn);\n  }\n  return array;\n}\n","import { Compare, defaultCompare, reverseCompare, swap } from '../util';\n\nexport class MinHeap {\n  constructor(compareFn = defaultCompare) {\n    this.compareFn = compareFn;\n    this.heap = [];\n  }\n  getLeftIndex(index) {\n    return (2 * index) + 1;\n  }\n  getRightIndex(index) {\n    return (2 * index) + 2;\n  }\n  getParentIndex(index) {\n    if (index === 0) {\n      return undefined;\n    }\n    return Math.floor((index - 1) / 2);\n  }\n  size() {\n    return this.heap.length;\n  }\n  isEmpty() {\n    return this.size() <= 0;\n  }\n  clear() {\n    this.heap = [];\n  }\n  findMinimum() {\n    return this.isEmpty() ? undefined : this.heap[0];\n  }\n  insert(value) {\n    if (value != null) {\n      const index = this.heap.length;\n      this.heap.push(value);\n      this.siftUp(index);\n      return true;\n    }\n    return false;\n  }\n  siftDown(index) {\n    let element = index;\n    const left = this.getLeftIndex(index);\n    const right = this.getRightIndex(index);\n    const size = this.size();\n    if (\n      left < size &&\n      this.compareFn(this.heap[element], this.heap[left]) === Compare.BIGGER_THAN\n    ) {\n      element = left;\n    }\n    if (\n      right < size &&\n      this.compareFn(this.heap[element], this.heap[right]) === Compare.BIGGER_THAN\n    ) {\n      element = right;\n    }\n    if (index !== element) {\n      swap(this.heap, index, element);\n      this.siftDown(element);\n    }\n  }\n  siftUp(index) {\n    let parent = this.getParentIndex(index);\n    while (\n      index > 0 &&\n      this.compareFn(this.heap[parent], this.heap[index]) === Compare.BIGGER_THAN\n    ) {\n      swap(this.heap, parent, index);\n      index = parent;\n      parent = this.getParentIndex(index);\n    }\n  }\n  extract() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    if (this.size() === 1) {\n      return this.heap.shift();\n    }\n    const removedValue = this.heap[0];\n    this.heap[0] = this.heap.pop();\n    this.siftDown(0);\n    return removedValue;\n  }\n  heapify(array) {\n    if (array) {\n      this.heap = array;\n    }\n    const maxIndex = Math.floor(this.size() / 2) - 1;\n    for (let i = 0; i <= maxIndex; i++) {\n      this.siftDown(i);\n    }\n    return this.heap;\n  }\n  getAsArray() {\n    return this.heap;\n  }\n}\nexport class MaxHeap extends MinHeap {\n  constructor(compareFn = defaultCompare) {\n    super(compareFn);\n    this.compareFn = compareFn;\n    this.compareFn = reverseCompare(compareFn);\n  }\n}\n","import { Compare, defaultCompare } from '../util';\nimport BinarySearchTree from './binary-search-tree';\nimport { Node } from './models/node';\n\nconst BalanceFactor = {\n  UNBALANCED_RIGHT: 1,\n  SLIGHTLY_UNBALANCED_RIGHT: 2,\n  BALANCED: 3,\n  SLIGHTLY_UNBALANCED_LEFT: 4,\n  UNBALANCED_LEFT: 5\n};\n\nexport default class AVLTree extends BinarySearchTree {\n  constructor(compareFn = defaultCompare) {\n    super(compareFn);\n    this.compareFn = compareFn;\n    this.root = null;\n  }\n  getNodeHeight(node) {\n    if (node == null) {\n      return -1;\n    }\n    return Math.max(this.getNodeHeight(node.left), this.getNodeHeight(node.right)) + 1;\n  }\n  /**\n   * Left left case: rotate right\n   *\n   *       b                           a\n   *      / \\                         / \\\n   *     a   e -> rotationLL(b) ->   c   b\n   *    / \\                             / \\\n   *   c   d                           d   e\n   *\n   * @param node Node<T>\n   */\n  rotationLL(node) {\n    const tmp = node.left;\n    node.left = tmp.right;\n    tmp.right = node;\n    return tmp;\n  }\n  /**\n   * Right right case: rotate left\n   *\n   *     a                              b\n   *    / \\                            / \\\n   *   c   b   -> rotationRR(a) ->    a   e\n   *      / \\                        / \\\n   *     d   e                      c   d\n   *\n   * @param node Node<T>\n   */\n  rotationRR(node) {\n    const tmp = node.right;\n    node.right = tmp.left;\n    tmp.left = node;\n    return tmp;\n  }\n  /**\n   * Left right case: rotate left then right\n   * @param node Node<T>\n   */\n  rotationLR(node) {\n    node.left = this.rotationRR(node.left);\n    return this.rotationLL(node);\n  }\n  /**\n   * Right left case: rotate right then left\n   * @param node Node<T>\n   */\n  rotationRL(node) {\n    node.right = this.rotationLL(node.right);\n    return this.rotationRR(node);\n  }\n  getBalanceFactor(node) {\n    const heightDifference = this.getNodeHeight(node.left) - this.getNodeHeight(node.right);\n    switch (heightDifference) {\n      case -2:\n        return BalanceFactor.UNBALANCED_RIGHT;\n      case -1:\n        return BalanceFactor.SLIGHTLY_UNBALANCED_RIGHT;\n      case 1:\n        return BalanceFactor.SLIGHTLY_UNBALANCED_LEFT;\n      case 2:\n        return BalanceFactor.UNBALANCED_LEFT;\n      default:\n        return BalanceFactor.BALANCED;\n    }\n  }\n  insert(key) {\n    this.root = this.insertNode(this.root, key);\n  }\n  insertNode(node, key) {\n    if (node == null) {\n      return new Node(key);\n    } else if (this.compareFn(key, node.key) === Compare.LESS_THAN) {\n      node.left = this.insertNode(node.left, key);\n    } else if (this.compareFn(key, node.key) === Compare.BIGGER_THAN) {\n      node.right = this.insertNode(node.right, key);\n    } else {\n      return node; // duplicated key\n    }\n    // verify if tree is balanced\n    const balanceFactor = this.getBalanceFactor(node);\n    if (balanceFactor === BalanceFactor.UNBALANCED_LEFT) {\n      if (this.compareFn(key, node.left.key) === Compare.LESS_THAN) {\n        // Left left case\n        node = this.rotationLL(node);\n      } else {\n        // Left right case\n        return this.rotationLR(node);\n      }\n    }\n    if (balanceFactor === BalanceFactor.UNBALANCED_RIGHT) {\n      if (this.compareFn(key, node.right.key) === Compare.BIGGER_THAN) {\n        // Right right case\n        node = this.rotationRR(node);\n      } else {\n        // Right left case\n        return this.rotationRL(node);\n      }\n    }\n    return node;\n  }\n  removeNode(node, key) {\n    node = super.removeNode(node, key); // {1}\n    if (node == null) {\n      return node;\n    }\n    // verify if tree is balanced\n    const balanceFactor = this.getBalanceFactor(node);\n    if (balanceFactor === BalanceFactor.UNBALANCED_LEFT) {\n      // Left left case\n      if (\n        this.getBalanceFactor(node.left) === BalanceFactor.BALANCED ||\n        this.getBalanceFactor(node.left) === BalanceFactor.SLIGHTLY_UNBALANCED_LEFT\n      ) {\n        return this.rotationLL(node);\n      }\n      // Left right case\n      if (this.getBalanceFactor(node.left) === BalanceFactor.SLIGHTLY_UNBALANCED_RIGHT) {\n        return this.rotationLR(node.left);\n      }\n    }\n    if (balanceFactor === BalanceFactor.UNBALANCED_RIGHT) {\n      // Right right case\n      if (\n        this.getBalanceFactor(node.right) === BalanceFactor.BALANCED ||\n        this.getBalanceFactor(node.right) === BalanceFactor.SLIGHTLY_UNBALANCED_RIGHT\n      ) {\n        return this.rotationRR(node);\n      }\n      // Right left case\n      if (this.getBalanceFactor(node.right) === BalanceFactor.SLIGHTLY_UNBALANCED_LEFT) {\n        return this.rotationRL(node.right);\n      }\n    }\n    return node;\n  }\n}\n","export function fibonacci(n) {\n  if (n < 1) {\n    return 0;\n  }\n  if (n <= 2) {\n    return 1;\n  }\n  return fibonacci(n - 1) + fibonacci(n - 2);\n}\n\nexport function fibonacciIterative(n) {\n  if (n < 1) { return 0; }\n  let fibNMinus2 = 0;\n  let fibNMinus1 = 1;\n  let fibN = n;\n  for (let i = 2; i <= n; i++) {\n    fibN = fibNMinus1 + fibNMinus2;\n    fibNMinus2 = fibNMinus1;\n    fibNMinus1 = fibN;\n  }\n  return fibN;\n}\n\nexport function fibonacciMemoization(n) {\n  if (n < 1) { return 0; }\n  const memo = [0, 1];\n  const fibonacciMem = num => {\n    if (memo[num] != null) { return memo[num]; }\n    return (memo[num] = fibonacciMem(num - 1) + fibonacciMem(num - 2));\n  };\n  return fibonacciMem(n);\n}\n","export function factorialIterative(number) {\n  if (number < 0) {\n    return undefined;\n  }\n  let total = 1;\n  for (let n = number; n > 1; n--) {\n    total *= n;\n  }\n  return total;\n}\n\nexport function factorial(n) {\n  if (n < 0) {\n    return undefined;\n  }\n  if (n === 1 || n === 0) {\n    return 1;\n  }\n  return n * factorial(n - 1);\n}\n","import { ValuePair } from './value-pair';\n\nexport class ValuePairLazy extends ValuePair {\n  constructor(key, value, isDeleted = false) {\n    super(key, value);\n    this.key = key;\n    this.value = value;\n    this.isDeleted = isDeleted;\n  }\n}\n","import { defaultToString } from '../util';\nimport { ValuePairLazy } from './models/value-pair-lazy';\n\nexport default class HashTableLinearProbingLazy {\n  constructor(toStrFn = defaultToString) {\n    this.toStrFn = toStrFn;\n    this.table = {};\n  }\n  loseloseHashCode(key) {\n    if (typeof key === 'number') {\n      return key;\n    }\n    const tableKey = this.toStrFn(key);\n    let hash = 0;\n    for (let i = 0; i < tableKey.length; i++) {\n      hash += tableKey.charCodeAt(i);\n    }\n    return hash % 37;\n  }\n  hashCode(key) {\n    return this.loseloseHashCode(key);\n  }\n  put(key, value) {\n    if (key != null && value != null) {\n      const position = this.hashCode(key);\n      if (\n        this.table[position] == null ||\n        (this.table[position] != null && this.table[position].isDeleted)\n      ) {\n        this.table[position] = new ValuePairLazy(key, value);\n      } else {\n        let index = position + 1;\n        while (this.table[index] != null && !this.table[position].isDeleted) {\n          index++;\n        }\n        this.table[index] = new ValuePairLazy(key, value);\n      }\n      return true;\n    }\n    return false;\n  }\n  get(key) {\n    const position = this.hashCode(key);\n    if (this.table[position] != null) {\n      if (this.table[position].key === key && !this.table[position].isDeleted) {\n        return this.table[position].value;\n      }\n      let index = position + 1;\n      while (\n        this.table[index] != null &&\n        (this.table[index].key !== key || this.table[index].isDeleted)\n      ) {\n        if (this.table[index].key === key && this.table[index].isDeleted) {\n          return undefined;\n        }\n        index++;\n      }\n      if (\n        this.table[index] != null &&\n        this.table[index].key === key &&\n        !this.table[index].isDeleted\n      ) {\n        return this.table[position].value;\n      }\n    }\n    return undefined;\n  }\n  remove(key) {\n    const position = this.hashCode(key);\n    if (this.table[position] != null) {\n      if (this.table[position].key === key && !this.table[position].isDeleted) {\n        this.table[position].isDeleted = true;\n        return true;\n      }\n      let index = position + 1;\n      while (\n        this.table[index] != null &&\n        (this.table[index].key !== key || this.table[index].isDeleted)\n      ) {\n        index++;\n      }\n      if (\n        this.table[index] != null &&\n        this.table[index].key === key &&\n        !this.table[index].isDeleted\n      ) {\n        this.table[index].isDeleted = true;\n        return true;\n      }\n    }\n    return false;\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    let count = 0;\n    Object.values(this.table).forEach(valuePair => {\n      count += valuePair.isDeleted === true ? 0 : 1;\n    });\n    return count;\n  }\n  clear() {\n    this.table = {};\n  }\n  getTable() {\n    return this.table;\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const keys = Object.keys(this.table);\n    let objString = `{${keys[0]} => ${this.table[keys[0]].toString()}}`;\n    for (let i = 1; i < keys.length; i++) {\n      objString = `${objString},{${keys[i]} => ${this.table[\n        keys[i]\n      ].toString()}}`;\n    }\n    return objString;\n  }\n}\n","import { defaultToString } from '../util';\nimport { ValuePair } from './models/value-pair';\n\nexport default class HashTableLinearProbing {\n  constructor(toStrFn = defaultToString) {\n    this.toStrFn = toStrFn;\n    this.table = {};\n  }\n  loseloseHashCode(key) {\n    if (typeof key === 'number') {\n      return key;\n    }\n    const tableKey = this.toStrFn(key);\n    let hash = 0;\n    for (let i = 0; i < tableKey.length; i++) {\n      hash += tableKey.charCodeAt(i);\n    }\n    return hash % 37;\n  }\n  hashCode(key) {\n    return this.loseloseHashCode(key);\n  }\n  put(key, value) {\n    if (key != null && value != null) {\n      const position = this.hashCode(key);\n      if (this.table[position] == null) {\n        this.table[position] = new ValuePair(key, value);\n      } else {\n        let index = position + 1;\n        while (this.table[index] != null) {\n          index++;\n        }\n        this.table[index] = new ValuePair(key, value);\n      }\n      return true;\n    }\n    return false;\n  }\n  get(key) {\n    const position = this.hashCode(key);\n    if (this.table[position] != null) {\n      if (this.table[position].key === key) {\n        return this.table[position].value;\n      }\n      let index = position + 1;\n      while (this.table[index] != null && this.table[index].key !== key) {\n        index++;\n      }\n      if (this.table[index] != null && this.table[index].key === key) {\n        return this.table[position].value;\n      }\n    }\n    return undefined;\n  }\n  remove(key) {\n    const position = this.hashCode(key);\n    if (this.table[position] != null) {\n      if (this.table[position].key === key) {\n        delete this.table[position];\n        this.verifyRemoveSideEffect(key, position);\n        return true;\n      }\n      let index = position + 1;\n      while (this.table[index] != null && this.table[index].key !== key) {\n        index++;\n      }\n      if (this.table[index] != null && this.table[index].key === key) {\n        delete this.table[index];\n        this.verifyRemoveSideEffect(key, index);\n        return true;\n      }\n    }\n    return false;\n  }\n  verifyRemoveSideEffect(key, removedPosition) {\n    const hash = this.hashCode(key);\n    let index = removedPosition + 1;\n    while (this.table[index] != null) {\n      const posHash = this.hashCode(this.table[index].key);\n      if (posHash <= hash || posHash <= removedPosition) {\n        this.table[removedPosition] = this.table[index];\n        delete this.table[index];\n        removedPosition = index;\n      }\n      index++;\n    }\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    return Object.keys(this.table).length;\n  }\n  clear() {\n    this.table = {};\n  }\n  getTable() {\n    return this.table;\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const keys = Object.keys(this.table);\n    let objString = `{${keys[0]} => ${this.table[keys[0]].toString()}}`;\n    for (let i = 1; i < keys.length; i++) {\n      objString = `${objString},{${keys[i]} => ${this.table[\n        keys[i]\n      ].toString()}}`;\n    }\n    return objString;\n  }\n}\n","import { defaultToString } from '../util';\nimport LinkedList from './linked-list';\nimport { ValuePair } from './models/value-pair';\n\nexport default class HashTableSeparateChaining {\n  constructor(toStrFn = defaultToString) {\n    this.toStrFn = toStrFn;\n    this.table = {};\n  }\n  loseloseHashCode(key) {\n    if (typeof key === 'number') {\n      return key;\n    }\n    const tableKey = this.toStrFn(key);\n    let hash = 0;\n    for (let i = 0; i < tableKey.length; i++) {\n      hash += tableKey.charCodeAt(i);\n    }\n    return hash % 37;\n  }\n  hashCode(key) {\n    return this.loseloseHashCode(key);\n  }\n  put(key, value) {\n    if (key != null && value != null) {\n      const position = this.hashCode(key);\n      if (this.table[position] == null) {\n        this.table[position] = new LinkedList();\n      }\n      this.table[position].push(new ValuePair(key, value));\n      return true;\n    }\n    return false;\n  }\n  get(key) {\n    const position = this.hashCode(key);\n    const linkedList = this.table[position];\n    if (linkedList != null && !linkedList.isEmpty()) {\n      let current = linkedList.getHead();\n      while (current != null) {\n        if (current.element.key === key) {\n          return current.element.value;\n        }\n        current = current.next;\n      }\n    }\n    return undefined;\n  }\n  remove(key) {\n    const position = this.hashCode(key);\n    const linkedList = this.table[position];\n    if (linkedList != null && !linkedList.isEmpty()) {\n      let current = linkedList.getHead();\n      while (current != null) {\n        if (current.element.key === key) {\n          linkedList.remove(current.element);\n          if (linkedList.isEmpty()) {\n            delete this.table[position];\n          }\n          return true;\n        }\n        current = current.next;\n      }\n    }\n    return false;\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    let count = 0;\n    Object.values(this.table).forEach(linkedList => {\n      count += linkedList.size();\n    });\n    return count;\n  }\n  clear() {\n    this.table = {};\n  }\n  getTable() {\n    return this.table;\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const keys = Object.keys(this.table);\n    let objString = `{${keys[0]} => ${this.table[keys[0]].toString()}}`;\n    for (let i = 1; i < keys.length; i++) {\n      objString = `${objString},{${keys[i]} => ${this.table[\n        keys[i]\n      ].toString()}}`;\n    }\n    return objString;\n  }\n}\n","import { defaultToString } from '../util';\nimport { ValuePair } from './models/value-pair';\n\nexport default class HashTable {\n  constructor(toStrFn = defaultToString) {\n    this.toStrFn = toStrFn;\n    this.table = {};\n  }\n  loseloseHashCode(key) {\n    if (typeof key === 'number') {\n      return key;\n    }\n    const tableKey = this.toStrFn(key);\n    let hash = 0;\n    for (let i = 0; i < tableKey.length; i++) {\n      hash += tableKey.charCodeAt(i);\n    }\n    return hash % 37;\n  }\n  /* djb2HashCode(key) {\n    const tableKey = this.toStrFn(key);\n    let hash = 5381;\n    for (let i = 0; i < tableKey.length; i++) {\n      hash = (hash * 33) + tableKey.charCodeAt(i);\n    }\n    return hash % 1013;\n  } */\n  hashCode(key) {\n    return this.loseloseHashCode(key);\n  }\n  put(key, value) {\n    if (key != null && value != null) {\n      const position = this.hashCode(key);\n      this.table[position] = new ValuePair(key, value);\n      return true;\n    }\n    return false;\n  }\n  get(key) {\n    const valuePair = this.table[this.hashCode(key)];\n    return valuePair == null ? undefined : valuePair.value;\n  }\n  remove(key) {\n    const hash = this.hashCode(key);\n    const valuePair = this.table[hash];\n    if (valuePair != null) {\n      delete this.table[hash];\n      return true;\n    }\n    return false;\n  }\n  getTable() {\n    return this.table;\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    return Object.keys(this.table).length;\n  }\n  clear() {\n    this.table = {};\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const keys = Object.keys(this.table);\n    let objString = `{${keys[0]} => ${this.table[keys[0]].toString()}}`;\n    for (let i = 1; i < keys.length; i++) {\n      objString = `${objString},{${keys[i]} => ${this.table[keys[i]].toString()}}`;\n    }\n    return objString;\n  }\n}\n","export default class Set {\n  constructor() {\n    this.items = {};\n  }\n  add(element) {\n    if (!this.has(element)) {\n      this.items[element] = element;\n      return true;\n    }\n    return false;\n  }\n  delete(element) {\n    if (this.has(element)) {\n      delete this.items[element];\n      return true;\n    }\n    return false;\n  }\n  has(element) {\n    return Object.prototype.hasOwnProperty.call(this.items, element);\n  }\n  values() {\n    return Object.values(this.items);\n  }\n  union(otherSet) {\n    const unionSet = new Set();\n    this.values().forEach(value => unionSet.add(value));\n    otherSet.values().forEach(value => unionSet.add(value));\n    return unionSet;\n  }\n  intersection(otherSet) {\n    const intersectionSet = new Set();\n    const values = this.values();\n    const otherValues = otherSet.values();\n    let biggerSet = values;\n    let smallerSet = otherValues;\n    if (otherValues.length - values.length > 0) {\n      biggerSet = otherValues;\n      smallerSet = values;\n    }\n    smallerSet.forEach(value => {\n      if (biggerSet.includes(value)) {\n        intersectionSet.add(value);\n      }\n    });\n    return intersectionSet;\n  }\n  difference(otherSet) {\n    const differenceSet = new Set();\n    this.values().forEach(value => {\n      if (!otherSet.has(value)) {\n        differenceSet.add(value);\n      }\n    });\n    return differenceSet;\n  }\n  isSubsetOf(otherSet) {\n    if (this.size() > otherSet.size()) {\n      return false;\n    }\n    let isSubset = true;\n    this.values().every(value => {\n      if (!otherSet.has(value)) {\n        isSubset = false;\n        return false;\n      }\n      return true;\n    });\n    return isSubset;\n  }\n  isEmpty() {\n    return this.size() === 0;\n  }\n  size() {\n    return Object.keys(this.items).length;\n  }\n  clear() {\n    this.items = {};\n  }\n  toString() {\n    if (this.isEmpty()) {\n      return '';\n    }\n    const values = this.values();\n    let objString = `${values[0]}`;\n    for (let i = 1; i < values.length; i++) {\n      objString = `${objString},${values[i].toString()}`;\n    }\n    return objString;\n  }\n}\n","import DoublyLinkedList from './doubly-linked-list';\n\nexport default class StackLinkedList {\n  constructor() {\n    this.items = new DoublyLinkedList();\n  }\n  push(element) {\n    this.items.push(element);\n  }\n  pop() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    const result = this.items.removeAt(this.size() - 1);\n    return result;\n  }\n  peek() {\n    if (this.isEmpty()) {\n      return undefined;\n    }\n    return this.items.getElementAt(this.size() - 1).element;\n  }\n  isEmpty() {\n    return this.items.isEmpty();\n  }\n  size() {\n    return this.items.size();\n  }\n  clear() {\n    this.items.clear();\n  }\n  toString() {\n    return this.items.toString();\n  }\n}\n","import { Compare, defaultCompare, defaultEquals } from '../util';\nimport LinkedList from './linked-list';\n\nexport default class SortedLinkedList extends LinkedList {\n  constructor(equalsFn = defaultEquals, compareFn = defaultCompare) {\n    super(equalsFn);\n    this.equalsFn = equalsFn;\n    this.compareFn = compareFn;\n  }\n  push(element) {\n    if (this.isEmpty()) {\n      super.push(element);\n    } else {\n      const index = this.getIndexNextSortedElement(element);\n      super.insert(element, index);\n    }\n  }\n  insert(element, index = 0) {\n    if (this.isEmpty()) {\n      return super.insert(element, index === 0 ? index : 0);\n    }\n    const pos = this.getIndexNextSortedElement(element);\n    return super.insert(element, pos);\n  }\n  getIndexNextSortedElement(element) {\n    let current = this.head;\n    let i = 0;\n    for (; i < this.size() && current; i++) {\n      const comp = this.compareFn(element, current.element);\n      if (comp === Compare.LESS_THAN) {\n        return i;\n      }\n      current = current.next;\n    }\n    return i;\n  }\n}\n","import { defaultEquals } from '../util';\nimport LinkedList from './linked-list';\nimport { Node } from './models/linked-list-models';\n\nexport default class CircularLinkedList extends LinkedList {\n  constructor(equalsFn = defaultEquals) {\n    super(equalsFn);\n  }\n  push(element) {\n    const node = new Node(element);\n    let current;\n    if (this.head == null) {\n      this.head = node;\n    } else {\n      current = this.getElementAt(this.size() - 1);\n      current.next = node;\n    }\n    // set node.next to head - to have circular list\n    node.next = this.head;\n    this.count++;\n  }\n  insert(element, index) {\n    if (index >= 0 && index <= this.count) {\n      const node = new Node(element);\n      let current = this.head;\n      if (index === 0) {\n        if (this.head == null) {\n          // if no node  in list\n          this.head = node;\n          node.next = this.head;\n        } else {\n          node.next = current;\n          current = this.getElementAt(this.size());\n          // update last element\n          this.head = node;\n          current.next = this.head;\n        }\n      } else {\n        const previous = this.getElementAt(index - 1);\n        node.next = previous.next;\n        previous.next = node;\n      }\n      this.count++;\n      return true;\n    }\n    return false;\n  }\n  removeAt(index) {\n    if (index >= 0 && index < this.count) {\n      let current = this.head;\n      if (index === 0) {\n        if (this.size() === 1) {\n          this.head = undefined;\n        } else {\n          const removed = this.head;\n          current = this.getElementAt(this.size() - 1);\n          this.head = this.head.next;\n          current.next = this.head;\n          current = removed;\n        }\n      } else {\n        // no need to update last element for circular list\n        const previous = this.getElementAt(index - 1);\n        current = previous.next;\n        previous.next = current.next;\n      }\n      this.count--;\n      return current.element;\n    }\n    return undefined;\n  }\n}\n","import Deque from '../data-structures/deque';\n\nexport function palindromeChecker(aString) {\n  if (\n    aString === undefined ||\n    aString === null ||\n    (aString !== null && aString.length === 0)\n  ) {\n    return false;\n  }\n  const deque = new Deque();\n  const lowerString = aString.toLocaleLowerCase().split(' ').join('');\n  let firstChar;\n  let lastChar;\n\n  for (let i = 0; i < lowerString.length; i++) {\n    deque.addBack(lowerString.charAt(i));\n  }\n\n  while (deque.size() > 1) {\n    firstChar = deque.removeFront();\n    lastChar = deque.removeBack();\n    if (firstChar !== lastChar) {\n      return false;\n    }\n  }\n\n  return true;\n}\n","import Queue from '../data-structures/queue';\n\nexport function hotPotato(elementsList, num) {\n  const queue = new Queue();\n  const elimitatedList = [];\n\n  for (let i = 0; i < elementsList.length; i++) {\n    queue.enqueue(elementsList[i]);\n  }\n\n  while (queue.size() > 1) {\n    for (let i = 0; i < num; i++) {\n      queue.enqueue(queue.dequeue());\n    }\n    elimitatedList.push(queue.dequeue());\n  }\n\n  return {\n    eliminated: elimitatedList,\n    winner: queue.dequeue()\n  };\n}\n","// @ts-check\nimport Stack from '../data-structures/stack';\n\nexport function parenthesesChecker(symbols) {\n  const stack = new Stack();\n  const opens = '([{';\n  const closers = ')]}';\n  let balanced = true;\n  let index = 0;\n  let symbol;\n  let top;\n\n  while (index < symbols.length && balanced) {\n    symbol = symbols[index];\n    if (opens.indexOf(symbol) >= 0) {\n      stack.push(symbol);\n    } else if (stack.isEmpty()) {\n      balanced = false;\n    } else {\n      top = stack.pop();\n      if (!(opens.indexOf(top) === closers.indexOf(symbol))) {\n        balanced = false;\n      }\n    }\n    index++;\n  }\n  return balanced && stack.isEmpty();\n}\n","// @ts-check\nimport Stack from '../data-structures/stack';\n\nexport function decimalToBinary(decNumber) {\n  const remStack = new Stack();\n  let number = decNumber;\n  let rem;\n  let binaryString = '';\n\n  while (number > 0) {\n    rem = Math.floor(number % 2);\n    remStack.push(rem);\n    number = Math.floor(number / 2);\n  }\n\n  while (!remStack.isEmpty()) {\n    binaryString += remStack.pop().toString();\n  }\n\n  return binaryString;\n}\n\nexport function baseConverter(decNumber, base) {\n  const remStack = new Stack();\n  const digits = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ';\n  let number = decNumber;\n  let rem;\n  let baseString = '';\n\n  if (!(base >= 2 && base <= 36)) {\n    return '';\n  }\n\n  while (number > 0) {\n    rem = Math.floor(number % base);\n    remStack.push(rem);\n    number = Math.floor(number / base);\n  }\n\n  while (!remStack.isEmpty()) {\n    baseString += digits[remStack.pop()];\n  }\n\n  return baseString;\n}\n","// @ts-check\nimport Stack from '../data-structures/stack';\n\nfunction towerOfHanoi(plates, source, helper, dest, sourceName, helperName, destName, moves = []) {\n  if (plates <= 0) {\n    return moves;\n  }\n  if (plates === 1) {\n    dest.push(source.pop());\n    const move = {};\n    move[sourceName] = source.toString();\n    move[helperName] = helper.toString();\n    move[destName] = dest.toString();\n    moves.push(move);\n  } else {\n    towerOfHanoi(plates - 1, source, dest, helper, sourceName, destName, helperName, moves);\n    dest.push(source.pop());\n    const move = {};\n    move[sourceName] = source.toString();\n    move[helperName] = helper.toString();\n    move[destName] = dest.toString();\n    moves.push(move);\n    towerOfHanoi(plates - 1, helper, source, dest, helperName, sourceName, destName, moves);\n  }\n  return moves;\n}\n\nexport function hanoiStack(plates) {\n  const source = new Stack();\n  const dest = new Stack();\n  const helper = new Stack();\n\n  for (let i = plates; i > 0; i--) {\n    source.push(i);\n  }\n\n  return towerOfHanoi(plates, source, helper, dest, 'source', 'helper', 'dest');\n}\n\nexport function hanoi(plates, source, helper, dest, moves = []) {\n  if (plates <= 0) {\n    return moves;\n  }\n  if (plates === 1) {\n    moves.push([source, dest]);\n  } else {\n    hanoi(plates - 1, source, dest, helper, moves);\n    moves.push([source, dest]);\n    hanoi(plates - 1, helper, source, dest, moves);\n  }\n  return moves;\n}\n","// @ts-check\n\nexport default class StackArray {\n  constructor() {\n    this.items = [];\n  }\n  push(element) {\n    this.items.push(element);\n  }\n\n  pop() {\n    return this.items.pop();\n  }\n\n  peek() {\n    return this.items[this.items.length - 1];\n  }\n\n  isEmpty() {\n    return this.items.length === 0;\n  }\n\n  size() {\n    return this.items.length;\n  }\n\n  clear() {\n    this.items = [];\n  }\n\n  toArray() {\n    return this.items;\n  }\n\n  toString() {\n    return this.items.toString();\n  }\n}\n","import * as _util from './util';\n\n// chapters 05 and 07\nexport const util = _util;\n\n// chapter 03\nexport { default as StackArray } from './data-structures/stack-array';\nexport { default as Stack } from './data-structures/stack';\nexport { hanoi } from './others/hanoi';\nexport { hanoiStack } from './others/hanoi';\nexport { baseConverter } from './others/base-converter';\nexport { decimalToBinary } from './others/base-converter';\nexport { parenthesesChecker } from './others/balanced-symbols';\n\n// chapter 04\nexport { default as Queue } from './data-structures/queue';\nexport { default as Deque } from './data-structures/deque';\nexport { hotPotato } from './others/hot-potato';\nexport { palindromeChecker } from './others/palindrome-checker';\n\n// chapter 05\nexport { default as LinkedList } from './data-structures/linked-list';\nexport { default as DoublyLinkedList } from './data-structures/doubly-linked-list';\nexport { default as CircularLinkedList } from './data-structures/circular-linked-list';\nexport { default as SortedLinkedList } from './data-structures/sorted-linked-list';\nexport { default as StackLinkedList } from './data-structures/stack-linked-list';\n\n// chapter 06\nexport { default as Set } from './data-structures/set';\n\n// chapter 07\nexport { default as Dictionary } from './data-structures/dictionary';\nexport { default as HashTable } from './data-structures/hash-table';\nexport { default as HashTableSeparateChaining } from './data-structures/hash-table-separate-chaining';\nexport { default as HashTableLinearProbing } from './data-structures/hash-table-linear-probing';\nexport { default as HashTableLinearProbingLazy } from './data-structures/hash-table-linear-probing-lazy';\n\n// chapter 08\nexport { default as factorialIterative } from './others/factorial';\nexport { default as factorial } from './others/factorial';\nexport { default as fibonacci } from './others/fibonacci';\nexport { default as fibonacciIterative } from './others/fibonacci';\nexport { default as fibonacciMemoization } from './others/fibonacci';\n\n// chapter 09\nexport { default as BinarySearchTree } from './data-structures/binary-search-tree';\nexport { default as AVLTree } from './data-structures/avl-tree';\n\n// chapter 10\nexport { MinHeap } from './data-structures/heap';\nexport { MaxHeap } from './data-structures/heap';\nexport { default as heapSort } from './algorithms/sorting/heap-sort';\n\n// chapter 11\nexport { default as Graph } from './data-structures/graph';\nexport { breadthFirstSearch } from './algorithms/graph/breadth-first-search';\nexport { BFS } from './algorithms/graph/breadth-first-search';\nexport { depthFirstSearch } from './algorithms/graph/depth-first-search';\nexport { DFS } from './algorithms/graph/depth-first-search';\nexport { dijkstra } from './algorithms/graph/dijkstra';\nexport { floydWarshall } from './algorithms/graph/floyd-warshall';\nexport { prim } from './algorithms/graph/prim';\nexport { kruskal } from './algorithms/graph/kruskal';\n\n// chapter 12\nexport { shuffle } from './algorithms/shuffle/fisher–yates';\n\nexport { bubbleSort } from './algorithms/sorting/bubble-sort';\nexport { modifiedBubbleSort } from './algorithms/sorting/bubble-sort-improved';\nexport { bucketSort } from './algorithms/sorting/bucket-sort';\nexport { countingSort } from './algorithms/sorting/counting-sort';\nexport { insertionSort } from './algorithms/sorting/insertion-sort';\nexport { mergeSort } from './algorithms/sorting/merge-sort';\nexport { quickSort } from './algorithms/sorting/quicksort';\nexport { radixSort } from './algorithms/sorting/radix-sort';\nexport { selectionSort } from './algorithms/sorting/selection-sort';\nexport { shellSort } from './algorithms/sorting/shell-sort';\n\nexport { binarySearch } from './algorithms/search/binary-search';\nexport { interpolationSearch } from './algorithms/search/interpolation-search';\nexport { sequentialSearch } from './algorithms/search/sequential-search';\nexport { findMaxValue } from './algorithms/search/min-max-search';\nexport { findMinValue } from './algorithms/search/min-max-search';\n\n// chapter 14\nexport { binarySearch as binarySearchRecursive } from './algorithms/search/binary-search-recursive';\nexport { minCoinChange } from './algorithms/dynamic-programing/min-coin-change';\nexport { minCoinChange as minCoinChangeGreedy } from './algorithms/greedy/min-coin-change';\nexport { knapSack } from './algorithms/dynamic-programing/knapsack';\nexport { knapSack as knapSackRecursive } from './algorithms/dynamic-programing/knapsack-recursive';\nexport { knapSack as knapSackGreedy } from './algorithms/greedy/knapsack';\nexport { lcs } from './algorithms/dynamic-programing/longest-common-subsequence';\nexport { lcs as lcsPrint } from './algorithms/dynamic-programing/longest-common-subsequence-print';\nexport { lcs as lcsRecursive } from './algorithms/greedy/longest-common-subsequence';\nexport { matrixChainOrder } from './algorithms/dynamic-programing/matrix-chain-multiplication';\nexport { matrixChainOrder as matrixChainOrderGreedy } from './algorithms/greedy/matrix-chain-multiplication';\nexport { ratInAMaze } from './algorithms/backtracking/rat-in-maze';\nexport { sudokuSolver } from './algorithms/backtracking/sudoku-solver';\n"],"sourceRoot":""}