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01-binaryHeap.js
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class MaxBinaryHeap {
constructor () {
this.values = [];
}
insert (val) {
this.values.push(val);
this.bubbleUp();
}
extractMax () {
const max = this.values[0];
const end = this.values.pop();
if (this.values.length > 0) {
this.values[0] = end;
this.bubbleDown(0);
}
return max;
}
bubbleUp () {
let idx = this.values.length - 1;
while (idx > 0) {
const parentIdx = Math.floor((idx - 1) / 2);
if (this.values[idx] <= this.values[parentIdx]) {
break;
}
const tmp = this.values[parentIdx];
this.values[parentIdx] = this.values[idx];
this.values[idx] = tmp;
idx = parentIdx;
}
}
// Recursive
bubbleDown (index) {
const left = 2 * index + 1;
const right = 2 * index + 2;
let largest = index;
const length = this.values.length;
// if left child is greater than parent
if (left <= length && this.values[left]) {
if (this.values[left] > this.values[largest]) {
largest = left;
}
}
// if right child is greater than parent
if (right <= length && this.values[right]) {
if (this.values[right] > this.values[largest]) {
largest = right;
}
}
// swap
if (largest !== index) {
[this.values[largest], this.values[index]] = [this.values[index], this.values[largest]];
this.bubbleDown(largest);
}
}
// Iterative
sinkDown () {
let idx = 0;
const length = this.values.length;
const element = this.values[0];
while (true) {
const leftChildIdx = 2 * idx + 1;
const rightChildIdx = 2 * idx + 2;
let leftChild, rightChild;
let swap = null;
if (leftChildIdx < length) {
leftChild = this.values[leftChildIdx];
if (leftChild < element) {
swap = leftChildIdx;
}
}
if (rightChildIdx < length) {
rightChild = this.values[rightChildIdx];
if (
(swap === null && rightChild < element) ||
(swap !== null && rightChild < leftChild)
) {
swap = rightChildIdx;
}
}
if (swap === null) break;
this.values[idx] = this.values[swap];
this.values[swap] = element;
idx = swap;
}
}
}
const heap = new MaxBinaryHeap();
// MaxBinaryHeap { values: [
// 55, 39, 41, 18,
// 27, 12, 33
// ] }
heap.insert(41);
heap.insert(39);
heap.insert(33);
heap.insert(18);
heap.insert(27);
heap.insert(12);
heap.insert(55);
console.log(heap);
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap.extractMax());
console.log(heap);