diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..9ee4446 Binary files /dev/null and b/.DS_Store differ diff --git a/lib/.DS_Store b/lib/.DS_Store new file mode 100644 index 0000000..e12fc53 Binary files /dev/null and b/lib/.DS_Store differ diff --git a/lib/heapsort.js b/lib/heapsort.js index 69d5af2..bab1ab7 100644 --- a/lib/heapsort.js +++ b/lib/heapsort.js @@ -1,8 +1,21 @@ +const { MinHeap } = require('./minheap'); // This method uses a heap to sort an array. -// Time Complexity: ? -// Space Complexity: ? +// Time Complexity: O(n log n) +// Space Complexity: O(n) function heapsort(list) { - throw new Error('Method not implemented yet...'); + if (list.length === 0) return list; + + const heap = new MinHeap(); + + for (const num of list) { + heap.add(num); + } + + for (let i = 0; i < list.length; i++) { + list[i] = heap.remove(); + } + + return list; }; module.exports = heapsort; diff --git a/lib/minheap.js b/lib/minheap.js index 4efceaf..db0f7ea 100644 --- a/lib/minheap.js +++ b/lib/minheap.js @@ -11,18 +11,36 @@ class MinHeap { } // This method adds a HeapNode instance to the heap - // Time Complexity: ? - // Space Complexity: ? + // Time Complexity: O(log n) + // Space Complexity: O(1) add(key, value = key) { - throw new Error("Method not implemented yet..."); + // create new HeapNode + const newNode = new HeapNode(key, value); + + // add the node to the end + this.store.push(newNode); + + // perform heap-up where parent must be less than children + const index = this.store.length - 1; + this.heapUp(index); } // This method removes and returns an element from the heap // maintaining the heap structure - // Time Complexity: ? - // Space Complexity: ? + // Time Complexity: O(log n) + // Space Complexity: O(1) remove() { - throw new Error("Method not implemented yet..."); + // if MinHeap is empty + if (this.store.length === 0) return; + + // if MinHeap is not empty + this.swap(0, this.store.length - 1); + // remove last + const removed = this.store.pop(); + // take the root and do a heap down + this.heapDown(0); + + return removed.value; } @@ -38,26 +56,72 @@ class MinHeap { } // This method returns true if the heap is empty - // Time complexity: ? - // Space complexity: ? + // Time complexity: O(1) + // Space complexity: O(1) isEmpty() { - throw new Error("Method not implemented yet..."); + if (this.store.length === 0) return true + + return false; } // 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: ? + // Time complexity: O(log n) + // Space complexity: O(1) heapUp(index) { - throw new Error("Method not implemented yet..."); + // update position in heap/array + const parentIndex = Math.floor((index - 1) / 2); + + const element = this.store[index]; + const parent = this.store[parentIndex]; + + // base case + if (index === 0 || parent.key < element.key) { + // pass + } else if (parent.key > element.key) { + this.swap(parentIndex, index); + index = parentIndex; + this.heapUp(index); + } + + return; } // 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..."); + const element = this.store[index]; + + const rightChildIndex = (index * 2) + 2; + const leftChildIndex = (index * 2) + 1; + let leftChild, rightChild; + let smallestItemIndex = index; + + if (leftChildIndex < this.store.length) { + leftChild = this.store[leftChildIndex]; + if (leftChild.key < element.key) { + smallestItemIndex = leftChildIndex; + } + } + + if (rightChildIndex < this.store.length) { + rightChild = this.store[rightChildIndex]; + + if (rightChild.key < this.store[smallestItemIndex].key) { + smallestItemIndex = rightChildIndex; + } + } + + // base case + if (smallestItemIndex === index) { + return; + } + // swap + // perform heapDown + this.swap(index, smallestItemIndex); + this.heapDown(smallestItemIndex); } // If you want a swap method... you're welcome @@ -68,5 +132,6 @@ class MinHeap { } module.exports = { - MinHeap + MinHeap, + HeapNode }; diff --git a/test/heapsort.test.js b/test/heapsort.test.js index a34282b..2a371d8 100644 --- a/test/heapsort.test.js +++ b/test/heapsort.test.js @@ -1,6 +1,7 @@ const expect = require('chai').expect; +const heapsort = require('../lib/heapsort'); -describe.skip("heapsort", function() { +describe("heapsort", function() { it("sorts an empty array", function() { // Arrange const list = []; diff --git a/yarn.lock b/yarn.lock new file mode 100644 index 0000000..fb2f412 --- /dev/null +++ b/yarn.lock @@ -0,0 +1,596 @@ +# THIS IS AN AUTOGENERATED FILE. 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