mirror of
https://github.moeyy.xyz/https://github.com/trekhleb/javascript-algorithms.git
synced 2024-12-25 22:46:20 +08:00
Move common Max/Min Heap code to Heap.js.
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031c5da556
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@ -142,6 +142,52 @@ export default class Heap {
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return this;
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}
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/**
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* @param {*} item
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* @param {Comparator} [customFindingComparator]
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* @return {Heap}
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*/
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remove(item, customFindingComparator) {
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// Find number of items to remove.
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const customComparator = customFindingComparator || this.compare;
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const numberOfItemsToRemove = this.find(item, customComparator).length;
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for (let iteration = 0; iteration < numberOfItemsToRemove; iteration += 1) {
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// We need to find item index to remove each time after removal since
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// indices are being change after each heapify process.
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const indexToRemove = this.find(item, customComparator).pop();
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// If we need to remove last child in the heap then just remove it.
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// There is no need to heapify the heap afterwards.
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if (indexToRemove === (this.heapContainer.length - 1)) {
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this.heapContainer.pop();
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} else {
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// Move last element in heap to the vacant (removed) position.
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this.heapContainer[indexToRemove] = this.heapContainer.pop();
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// Get parent.
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const parentItem = this.hasParent(indexToRemove) ? this.parent(indexToRemove) : null;
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const leftChild = this.hasLeftChild(indexToRemove) ? this.leftChild(indexToRemove) : null;
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// If there is no parent or parent is in incorrect order with the node
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// we're going to delete then heapify down. Otherwise heapify up.
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if (
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leftChild !== null
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&& (
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parentItem === null
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|| !this.pairIsInCorrectOrder(parentItem, this.heapContainer[indexToRemove])
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)
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) {
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this.heapifyDown(indexToRemove);
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} else {
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this.heapifyUp(indexToRemove);
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}
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}
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}
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return this;
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}
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/**
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* @param {*} item
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* @param {Comparator} [customComparator]
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@ -174,11 +220,69 @@ export default class Heap {
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return this.heapContainer.toString();
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}
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heapifyUp() {
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throw new Error('You have to implement this method!');
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyUp(customStartIndex) {
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// Take last element (last in array or the bottom left in a tree) in
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// a heap container and lift him up until we find the parent element
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// that is less then the current new one.
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let currentIndex = customStartIndex || this.heapContainer.length - 1;
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while (
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this.hasParent(currentIndex)
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&& !this.pairIsInCorrectOrder(this.parent(currentIndex), this.heapContainer[currentIndex])
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) {
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this.swap(currentIndex, this.getParentIndex(currentIndex));
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currentIndex = this.getParentIndex(currentIndex);
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}
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}
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heapifyDown() {
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throw new Error('You have to implement this method!');
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyDown(customStartIndex) {
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// Compare the root element to its children and swap root with the smallest
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// of children. Do the same for next children after swap.
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let currentIndex = customStartIndex || 0;
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let nextIndex = null;
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while (this.hasLeftChild(currentIndex)) {
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if (
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this.hasRightChild(currentIndex)
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&& this.pairIsInCorrectOrder(this.rightChild(currentIndex), this.leftChild(currentIndex))
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) {
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nextIndex = this.getRightChildIndex(currentIndex);
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} else {
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nextIndex = this.getLeftChildIndex(currentIndex);
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}
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if (!this.pairIsInCorrectOrder(
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this.heapContainer[nextIndex],
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this.heapContainer[currentIndex],
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)) {
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break;
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}
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this.swap(currentIndex, nextIndex);
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currentIndex = nextIndex;
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}
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}
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/**
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* Checks if pair of heap elements is in correct order.
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* For MinHeap the first element must be always smaller or equal.
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* For MaxHeap the first element must be always bigger or equal.
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*
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* @param {*} firstElement
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* @param {*} secondElement
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* @return {boolean}
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*/
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/* istanbul ignore next */
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pairIsInCorrectOrder(firstElement, secondElement) {
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throw new Error(`
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You have to implement heap pair comparision method
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for ${firstElement} and ${secondElement} values.
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`);
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}
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}
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@ -2,96 +2,15 @@ import Heap from './Heap';
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export default class MaxHeap extends Heap {
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/**
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* @param {*} item
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* @param {Comparator} [customFindingComparator]
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* @return {MaxHeap}
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* Checks if pair of heap elements is in correct order.
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* For MinHeap the first element must be always smaller or equal.
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* For MaxHeap the first element must be always bigger or equal.
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*
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* @param {*} firstElement
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* @param {*} secondElement
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* @return {boolean}
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*/
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remove(item, customFindingComparator) {
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// Find number of items to remove.
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const customComparator = customFindingComparator || this.compare;
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const numberOfItemsToRemove = this.find(item, customComparator).length;
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for (let iteration = 0; iteration < numberOfItemsToRemove; iteration += 1) {
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// We need to find item index to remove each time after removal since
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// indices are being change after each heapify process.
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const indexToRemove = this.find(item, customComparator).pop();
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// If we need to remove last child in the heap then just remove it.
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// There is no need to heapify the heap afterwards.
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if (indexToRemove === (this.heapContainer.length - 1)) {
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this.heapContainer.pop();
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} else {
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// Move last element in heap to the vacant (removed) position.
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this.heapContainer[indexToRemove] = this.heapContainer.pop();
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// Get parent.
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const parentItem = this.hasParent(indexToRemove) ? this.parent(indexToRemove) : null;
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const leftChild = this.hasLeftChild(indexToRemove) ? this.leftChild(indexToRemove) : null;
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// If there is no parent or parent is greater then node to delete then heapify down.
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// Otherwise heapify up.
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if (
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leftChild !== null
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&& (
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parentItem === null
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|| this.compare.greaterThan(parentItem, this.heapContainer[indexToRemove])
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)
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) {
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this.heapifyDown(indexToRemove);
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} else {
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this.heapifyUp(indexToRemove);
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}
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}
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}
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return this;
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}
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyUp(customStartIndex) {
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// Take last element (last in array or the bottom left in a tree) in
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// a heap container and lift him up until we find the parent element
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// that is greater then the current new one.
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let currentIndex = customStartIndex || this.heapContainer.length - 1;
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while (
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this.hasParent(currentIndex)
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&& this.compare.greaterThan(this.heapContainer[currentIndex], this.parent(currentIndex))
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) {
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this.swap(currentIndex, this.getParentIndex(currentIndex));
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currentIndex = this.getParentIndex(currentIndex);
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}
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}
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyDown(customStartIndex) {
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// Compare the root element to its children and swap root with the biggest
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// of children. Do the same for next children after swap.
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let currentIndex = customStartIndex || 0;
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let nextIndex = null;
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while (this.hasLeftChild(currentIndex)) {
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if (
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this.hasRightChild(currentIndex)
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&& this.compare.greaterThan(this.rightChild(currentIndex), this.leftChild(currentIndex))
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) {
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nextIndex = this.getRightChildIndex(currentIndex);
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} else {
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nextIndex = this.getLeftChildIndex(currentIndex);
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}
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if (
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this.compare.greaterThan(this.heapContainer[currentIndex], this.heapContainer[nextIndex])
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) {
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break;
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}
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this.swap(currentIndex, nextIndex);
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currentIndex = nextIndex;
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}
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pairIsInCorrectOrder(firstElement, secondElement) {
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return this.compare.greaterThanOrEqual(firstElement, secondElement);
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}
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}
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@ -2,94 +2,15 @@ import Heap from './Heap';
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export default class MinHeap extends Heap {
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/**
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* @param {*} item
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* @param {Comparator} [customFindingComparator]
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* @return {MinHeap}
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* Checks if pair of heap elements is in correct order.
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* For MinHeap the first element must be always smaller or equal.
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* For MaxHeap the first element must be always bigger or equal.
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*
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* @param {*} firstElement
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* @param {*} secondElement
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* @return {boolean}
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*/
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remove(item, customFindingComparator) {
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// Find number of items to remove.
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const customComparator = customFindingComparator || this.compare;
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const numberOfItemsToRemove = this.find(item, customComparator).length;
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for (let iteration = 0; iteration < numberOfItemsToRemove; iteration += 1) {
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// We need to find item index to remove each time after removal since
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// indices are being change after each heapify process.
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const indexToRemove = this.find(item, customComparator).pop();
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// If we need to remove last child in the heap then just remove it.
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// There is no need to heapify the heap afterwards.
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if (indexToRemove === (this.heapContainer.length - 1)) {
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this.heapContainer.pop();
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} else {
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// Move last element in heap to the vacant (removed) position.
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this.heapContainer[indexToRemove] = this.heapContainer.pop();
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// Get parent.
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const parentItem = this.hasParent(indexToRemove) ? this.parent(indexToRemove) : null;
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const leftChild = this.hasLeftChild(indexToRemove) ? this.leftChild(indexToRemove) : null;
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// If there is no parent or parent is less then node to delete then heapify down.
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// Otherwise heapify up.
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if (
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leftChild !== null
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&& (
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parentItem === null
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|| this.compare.lessThan(parentItem, this.heapContainer[indexToRemove])
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)
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) {
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this.heapifyDown(indexToRemove);
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} else {
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this.heapifyUp(indexToRemove);
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}
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}
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}
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return this;
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}
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyUp(customStartIndex) {
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// Take last element (last in array or the bottom left in a tree) in
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// a heap container and lift him up until we find the parent element
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// that is less then the current new one.
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let currentIndex = customStartIndex || this.heapContainer.length - 1;
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while (
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this.hasParent(currentIndex)
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&& this.compare.lessThan(this.heapContainer[currentIndex], this.parent(currentIndex))
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) {
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this.swap(currentIndex, this.getParentIndex(currentIndex));
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currentIndex = this.getParentIndex(currentIndex);
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}
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}
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/**
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* @param {number} [customStartIndex]
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*/
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heapifyDown(customStartIndex) {
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// Compare the root element to its children and swap root with the smallest
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// of children. Do the same for next children after swap.
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let currentIndex = customStartIndex || 0;
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let nextIndex = null;
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while (this.hasLeftChild(currentIndex)) {
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if (
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this.hasRightChild(currentIndex)
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&& this.compare.lessThan(this.rightChild(currentIndex), this.leftChild(currentIndex))
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) {
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nextIndex = this.getRightChildIndex(currentIndex);
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} else {
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nextIndex = this.getLeftChildIndex(currentIndex);
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}
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if (this.compare.lessThan(this.heapContainer[currentIndex], this.heapContainer[nextIndex])) {
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break;
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}
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this.swap(currentIndex, nextIndex);
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currentIndex = nextIndex;
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}
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pairIsInCorrectOrder(firstElement, secondElement) {
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return this.compare.lessThanOrEqual(firstElement, secondElement);
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}
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}
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