diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..f9f60d0 Binary files /dev/null and b/.DS_Store differ diff --git a/README.md b/README.md deleted file mode 100644 index 2572071..0000000 --- a/README.md +++ /dev/null @@ -1,18 +0,0 @@ -# Heaps Practice -Based on the Ruby version at [Ada-C12/heaps](https://github.com/Ada-C12/heaps). See also: [AdaGold/heaps](https://github.com/AdaGold/heaps) - -## Running -To run this repo, clone and install it, then run tests. It has been tested with node `12.6.0`. - -```sh -git clone git@github.com:mmcknett/heaps-js -cd heap-js -npm ci -npm t -``` - -Not also that Mocha has watch mode: - -```sh -npm t -- --watch -``` diff --git a/heapsort.js b/heapsort.js new file mode 100644 index 0000000..5d98d44 --- /dev/null +++ b/heapsort.js @@ -0,0 +1,25 @@ +// const MinHeap = require('./minheap.js') +const { MinHeap } = require('./minheap'); +// This method uses a heap to sort an array. +// Time Complexity: O(n log n) - add is log n, adding n times + remove is log n --> O(2(n log n)) -> O(n log n) +// Space Complexity: O(n) + +function heapsort(list) { + let myHeap = new MinHeap; + + for (let i = 0; i < list.length; i++) { + myHeap.add(list[i]); + } + + let result = []; + while (!myHeap.isEmpty()) { + let node = myHeap.remove(); + result.push(node) + } + + return result; +}; + +module.exports = heapsort; + +console.log(heapsort([5, 27, 3, 16, -50])); \ No newline at end of file diff --git a/lib/heapsort.js b/lib/heapsort.js deleted file mode 100644 index 69d5af2..0000000 --- a/lib/heapsort.js +++ /dev/null @@ -1,8 +0,0 @@ -// This method uses a heap to sort an array. -// Time Complexity: ? -// Space Complexity: ? -function heapsort(list) { - throw new Error('Method not implemented yet...'); -}; - -module.exports = heapsort; diff --git a/lib/minheap.js b/lib/minheap.js deleted file mode 100644 index 4efceaf..0000000 --- a/lib/minheap.js +++ /dev/null @@ -1,72 +0,0 @@ -class HeapNode { - constructor(key, value) { - this.key = key; - this.value = value; - } -} - -class MinHeap { - constructor() { - this.store = []; - } - - // This method adds a HeapNode instance to the heap - // Time Complexity: ? - // Space Complexity: ? - add(key, value = key) { - throw new Error("Method not implemented yet..."); - } - - // This method removes and returns an element from the heap - // maintaining the heap structure - // Time Complexity: ? - // Space Complexity: ? - remove() { - throw new Error("Method not implemented yet..."); - } - - - // Used for Testing - toString() { - if (!this.store.length) { - return "[]"; - } - - const values = this.store.map(item => item.value); - const output = `[${values.join(', ')}]`; - return output; - } - - // This method returns true if the heap is empty - // Time complexity: ? - // Space complexity: ? - isEmpty() { - throw new Error("Method not implemented yet..."); - } - - // This helper method takes an index and - // moves it up the heap, if it is less than it's parent node. - // It could be **very** helpful for the add method. - // Time complexity: ? - // Space complexity: ? - heapUp(index) { - throw new Error("Method not implemented yet..."); - } - - // This helper method takes an index and - // moves it up the heap if it's smaller - // than it's parent node. - heapDown(index) { - throw new Error("Method not implemented yet..."); - } - - // If you want a swap method... you're welcome - swap(index1, index2) { - const s = this.store; - [s[index1], s[index2]] = [s[index2], s[index1]]; - } -} - -module.exports = { - MinHeap -}; diff --git a/maxheap.js b/maxheap.js new file mode 100644 index 0000000..80da378 --- /dev/null +++ b/maxheap.js @@ -0,0 +1,149 @@ +class HeapNode { + constructor(key, value) { + this.key = key; + this.value = value; + } +} + +class MaxHeap { + constructor() { + this.store = []; + this.size = 0; + } + + // This method adds a HeapNode instance to the heap + // Time Complexity: O(log n) + // Space Complexity: O(1) + add(key, value) { + let newNode = new HeapNode(key, value); + this.store.push(newNode); + + let current = this.store.length - 1; + this.heapUp(current); + this.size++; + } + + // This method removes and returns an element from the heap + // maintaining the heap structure + // Time Complexity: O(log n) + // Space Complexity: O(1) + remove() { + let result; + + if (this.size === 0) { + return result + } + + if (this.size === 1) { + result = this.store.pop(); + this.size--; + return result.value + } + + this.swap(0, this.store.length - 1); + result = this.store.pop(); + this.heapDown(0) + + this.size--; + return result.value; + } + + + // Used for Testing + toString() { + if (!this.store.length) { + return "[]"; + } + + const values = this.store.map(item => item.value); + const output = `[${values.join(', ')}]`; + return output; + } + + // This method returns true if the heap is empty + // Time complexity: O(1) + // Space complexity: O(1) + isEmpty() { + return this.store.length === 0 + } + + // This helper method takes an index and + // moves it up the heap, if it is less than it's parent node. + // It could be **very** helpful for the add method. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapUp(index) { + + let parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + + while( index > 0 && (this.store[parentIndex].key < this.store[index].key)) { + this.swap(index, parentIndex); + index = parentIndex; + parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + } + } + + // This helper method takes an index and + // moves it up the heap if it's smaller + // than it's parent node. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapDown(index) { + // console.log(this.store.length) + + let leftChild = index * 2 + 1; + let rightChild = index * 2 + 2; + + while ( this.store[leftChild] || this.store[rightChild]) { + if (this.store[leftChild] === undefined) { + if (this.store[rightChild].key > this.store[index].key) { + this.swap(index, rightChild); + } + index = rightChild; + } else if (this.store[rightChild] === undefined) { + if (this.store[leftChild].key > this.store[index].key) { + this.swap(index, leftChild); + } + index = leftChild; + } else if (this.store[leftChild].key >= this.store[rightChild].key && this.store[leftChild].key > this.store[index].key) { + this.swap(index, leftChild); + index = leftChild; + } else if (this.store[rightChild].key > this.store[leftChild].key && this.store[rightChild].key > this.store[index].key) { + this.swap(index, rightChild); + index = rightChild; + } else { + return index + } + + leftChild = index * 2 + 1; + rightChild = index * 2 + 2; + } + } + + // If you want a swap method... you're welcome + swap(index1, index2) { + const s = this.store; + let temp = s[index1]; + s[index1] = s[index2]; + s[index2] = temp + // [s[index1], s[index2]] = [s[index2], s[index1]]; + } +} + +module.exports = {MaxHeap}; + + +let myHeap = new MaxHeap; +myHeap.add(6,6); +myHeap.add(8,8); +myHeap.add(2,2); +myHeap.add(7,7); +myHeap.add(13,13); +console.log(myHeap.toString()) +myHeap.remove(); +myHeap.remove(); +myHeap.remove(); +myHeap.remove(); +myHeap.remove(); +myHeap.remove(); +console.log(myHeap.toString()) diff --git a/minheap.js b/minheap.js new file mode 100644 index 0000000..3e32f15 --- /dev/null +++ b/minheap.js @@ -0,0 +1,145 @@ +class HeapNode { + constructor(key, value) { + this.key = key; + this.value = value; + } +} + +class MinHeap { + constructor() { + this.store = []; + } + + // This method adds a HeapNode instance to the heap + // Time Complexity: O(log n) + // Space Complexity: O(1) + add(key, value = key) { + let newNode = new HeapNode(key, value); + this.store.push(newNode); + + let current = this.store.length - 1; + this.heapUp(current); + } + + // This method removes and returns an element from the heap + // maintaining the heap structure + // Time Complexity: O(log n) + // Space Complexity: O(1) + remove() { + let result; + + if (this.store.length === 0) { + return result + } + + if (this.size === 1) { + result = this.store.pop(); + return result.value + } + + + this.swap(0, this.store.length - 1); + result = this.store.pop(); + this.heapDown(0) + + return result.value; + } + + + // Used for Testing + toString() { + if (!this.store.length) { + return "[]"; + } + + const values = this.store.map(item => item.value); + const output = `[${values.join(', ')}]`; + return output; + } + + // This method returns true if the heap is empty + // Time complexity: O(1) + // Space complexity: O(1) + isEmpty() { + return this.store.length === 0 + } + + // This helper method takes an index and + // moves it up the heap, if it is less than it's parent node. + // It could be **very** helpful for the add method. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapUp(index) { + + let parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + + while( index > 0 && (this.store[parentIndex].key > this.store[index].key)) { + this.swap(index, parentIndex); + index = parentIndex; + parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + } + } + + // This helper method takes an index and + // moves it up the heap if it's smaller + // than it's parent node. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapDown(index) { + // console.log(this.store.length) + + let leftChild = index * 2 + 1; + let rightChild = index * 2 + 2; + + while ( this.store[leftChild] || this.store[rightChild]) { + if (this.store[leftChild] === undefined) { + if (this.store[rightChild].key < this.store[index].key) { + this.swap(index, rightChild); + } + index = rightChild; + } else if (this.store[rightChild] === undefined) { + if (this.store[leftChild].key < this.store[index].key) { + this.swap(index, leftChild); + } + index = leftChild; + }else if (this.store[leftChild].key <= this.store[rightChild].key && this.store[leftChild].key < this.store[index].key) { + this.swap(index, leftChild); + index = leftChild; + } else if (this.store[leftChild].key > this.store[rightChild].key && this.store[rightChild].key < this.store[index].key){ + this.swap(index, rightChild); + index = rightChild; + } else { + return + } + + leftChild = index * 2 + 1; + rightChild = index * 2 + 2; + } + } + + // If you want a swap method... you're welcome + swap(index1, index2) { + const s = this.store; + [s[index1], s[index2]] = [s[index2], s[index1]]; + } +} + +module.exports = MinHeap; + + +// let myHeap = new MinHeap; +// // console.log(myHeap.isEmpty()) +// myHeap.add(6); +// // console.log(myHeap) +// myHeap.add(4); +// // console.log(myHeap) +// myHeap.add(7); +// myHeap.add(3); +// // console.log(myHeap) +// console.log(myHeap.remove()) +// console.log(myHeap.remove()) +// console.log(myHeap.remove()) +// console.log(myHeap.remove()) +// console.log(myHeap.remove()) +// // console.log(myHeap.toString()) +// // console.log(myHeap.isEmpty()) \ No newline at end of file diff --git a/package-lock.json b/package-lock.json deleted file mode 100644 index b65fb67..0000000 --- a/package-lock.json +++ /dev/null @@ -1,1053 +0,0 @@ -{ - 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"url": "https://github.com/mmcknett/heaps-js/issues" - }, - "homepage": "https://github.com/mmcknett/heaps-js#readme", - "devDependencies": { - "chai": "^4.2.0", - "mocha": "^6.2.0" - } -} diff --git a/priority_queue.js b/priority_queue.js new file mode 100644 index 0000000..a249c2c --- /dev/null +++ b/priority_queue.js @@ -0,0 +1,148 @@ +class HeapNode { + constructor(priority, value) { + this.priority = priority; + this.value = value; + } +} + +class PriorityQueue { + constructor() { + this.store = []; + this.size = 0; + } + + // This method adds a HeapNode instance to the heap + // Time Complexity: O(log n) + // Space Complexity: O(1) + add(priority, value) { + let newNode = new HeapNode(priority, value); + this.store.push(newNode); + + let current = this.store.length - 1; + this.heapUp(current); + this.size++; + } + + // This method removes and returns an element from the heap + // maintaining the heap structure + // Time Complexity: O(log n) + // Space Complexity: O(1) + remove() { + let result; + + if (this.size === 0) { + return result + } + + if (this.size === 1) { + result = this.store.pop(); + this.size--; + return result.value + } + + this.swap(0, this.store.length - 1); + result = this.store.pop(); + this.heapDown(0) + + this.size--; + return result.value; + } + + + // Used for Testing + toString() { + if (!this.store.length) { + return "[]"; + } + + const values = this.store.map(item => item.value); + const output = `[${values.join(', ')}]`; + return output; + } + + // This method returns true if the heap is empty + // Time complexity: O(1) + // Space complexity: O(1) + isEmpty() { + return this.store.length === 0 + } + + // This helper method takes an index and + // moves it up the heap, if it is less than it's parent node. + // It could be **very** helpful for the add method. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapUp(index) { + + let parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + + while( index > 0 && (this.store[parentIndex].priority > this.store[index].priority)) { + this.swap(index, parentIndex); + index = parentIndex; + parentIndex = index % 2 === 0 ? (index - 2) / 2 : (index - 1) / 2; + } + } + + // This helper method takes an index and + // moves it up the heap if it's smaller + // than it's parent node. + // Time complexity: O(log n) - n: nodes in heap + // Space complexity: O(1) - no recursive calls + heapDown(index) { + // console.log(this.store.length) + + let leftChild = index * 2 + 1; + let rightChild = index * 2 + 2; + + while ( this.store[leftChild] || this.store[rightChild]) { + if (this.store[leftChild] === undefined) { + if (this.store[rightChild].priority < this.store[index].priority) { + this.swap(index, rightChild); + } + index = rightChild; + } else if (this.store[rightChild] === undefined) { + if (this.store[leftChild].priority < this.store[index].priority) { + this.swap(index, leftChild); + } + index = leftChild; + } else if (this.store[leftChild].priority <= this.store[rightChild].priority && this.store[leftChild].priority < this.store[index].priority) { + this.swap(index, leftChild); + index = leftChild; + } else if (this.store[rightChild].priority < this.store[leftChild].priority && this.store[rightChild].priority < this.store[index].priority) { + this.swap(index, rightChild); + index = rightChild; + } else { + return index + } + + leftChild = index * 2 + 1; + rightChild = index * 2 + 2; + } + } + + // If you want a swap method... you're welcome + swap(index1, index2) { + const s = this.store; + let temp = s[index1]; + s[index1] = s[index2]; + s[index2] = temp + // [s[index1], s[index2]] = [s[index2], s[index1]]; + } +} + +module.exports = PriorityQueue; + + +let ER = new PriorityQueue; +ER.add(3,"Low Fever"); +ER.add(1,"Concussion"); +ER.add(3,"Minor Allergy"); +ER.add(1,"Stitches"); +ER.add(2,"Ankle Sprain"); +console.log(ER.toString()) +console.log(ER.remove()) +console.log(ER.remove()) +console.log(ER.remove()) +console.log(ER.remove()) +console.log(ER.remove()) +// console.log(ER.remove()) diff --git a/test/heapsort.test.js b/test/heapsort.test.js deleted file mode 100644 index a34282b..0000000 --- a/test/heapsort.test.js +++ /dev/null @@ -1,36 +0,0 @@ -const expect = require('chai').expect; - -describe.skip("heapsort", function() { - it("sorts an empty array", function() { - // Arrange - const list = []; - - // Act - const result = heapsort(list); - - // Assert - expect(result).to.eql([]); // Note: use eql for deep equality - }); - - it("can sort a 1-element array", function() { - // Arrange - const list = [5]; - - // Act - const result = heapsort(list); - - // Assert - expect(result).to.eql([5]); - }); - - it("can sort a 5-element array", function() { - // Arrange - const list = [5, 27, 3, 16, -50]; - - // Act - const result = heapsort(list); - - // Assert - expect(result).to.eql([-50, 3, 5, 16, 27]); - }); -}); diff --git a/test/minheap.test.js b/test/minheap.test.js deleted file mode 100644 index c1ca416..0000000 --- a/test/minheap.test.js +++ /dev/null @@ -1,142 +0,0 @@ -const expect = require('chai').expect; -const { MinHeap } = require('../lib/minheap'); - -describe('Heap', function() { - let heap; - - beforeEach(function() { - heap = new MinHeap(); - }); - - it('can be created', function() { - - // Assert - expect(heap).to.be.an.instanceOf(MinHeap); - }); - - it('can have nodes added', function() { - // Arrange/Act - const addSomethingToHeap = function () { - heap.add(10, 'someValue'); - } - - // Assert - expect(heap.add).not.to.be.undefined; - expect(addSomethingToHeap).not.to.throw(); - }); - - it('adds one node properly', function() { - // Arrange - heap.add(3, 'Pasta'); - - // Act - const output = heap.toString(); - - // Assert - - expect(output).to.equal('[Pasta]'); - }); - - it('adds two node properly', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(1, 'Pizza'); - - // Act - const output = heap.toString(); - - // Assert - - expect(output).to.equal('[Pizza, Pasta]'); - }); - - it('adds nodes in a proper order', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(6, 'Soup'); - heap.add(1, 'Pizza'); - - // Act - const output = heap.toString(); - - // Assert - - expect(output).to.equal('[Pizza, Soup, Pasta]'); - }); - - it('adds nodes in a proper order with a lot of nodes', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(6, 'Soup'); - heap.add(1, 'Pizza'); - heap.add(0, 'Donuts'); - heap.add(16, 'Cookies'); - heap.add(57, 'Cake'); - - // Act - const output = heap.toString(); - - // Assert - - expect(output).to.equal('[Donuts, Pizza, Pasta, Soup, Cookies, Cake]'); - }); - - it('can remove one node in the proper order', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(6, 'Soup'); - heap.add(1, 'Pizza'); - heap.add(0, 'Donuts'); - heap.add(16, 'Cookies'); - heap.add(57, 'Cake'); - - // Act - const removed = heap.remove(); - - // Assert - expect(removed).to.equal('Donuts'); - }); - - it('can remove two nodes in the proper order', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(6, 'Soup'); - heap.add(1, 'Pizza'); - heap.add(0, 'Donuts'); - heap.add(16, 'Cookies'); - heap.add(57, 'Cake'); - - // Act - heap.remove(); - const removed = heap.remove(); - - // Assert - expect(removed).to.equal('Pizza'); - }); - - it('can remove three nodes in the proper order', function() { - // Arrange - heap.add(3, 'Pasta'); - heap.add(6, 'Soup'); - heap.add(1, 'Pizza'); - heap.add(0, 'Donuts'); - heap.add(16, 'Cookies'); - heap.add(57, 'Cake'); - - // Act - heap.remove(); - heap.remove(); - const removed = heap.remove(); - - // Assert - expect(removed).to.equal('Pasta'); - }); - - it('does nothing when removing from an empty heap', function() { - // Act - const removed = heap.remove(); - - // Assert - expect(removed).to.be.undefined; - }); -}); \ No newline at end of file