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| 1 | +class KthLargest { |
| 2 | + backingArray: number[]; |
| 3 | + size: number; |
| 4 | + |
| 5 | + constructor(k: number, nums: number[]) { |
| 6 | + this.backingArray = []; |
| 7 | + this.size = k; |
| 8 | + for(const num of nums) this.add(num) |
| 9 | + } |
| 10 | + |
| 11 | + add(val: number): number { |
| 12 | + const newLength = this.backingArray.push(val) |
| 13 | + this.shiftUp(newLength - 1); |
| 14 | + |
| 15 | + if (newLength > this.size) this.pop(); |
| 16 | + |
| 17 | + return this.backingArray[0]; |
| 18 | + } |
| 19 | + |
| 20 | + private pop() { |
| 21 | + this.swap(0, this.backingArray.length - 1) |
| 22 | + this.backingArray.length -= 1; |
| 23 | + this.shiftDown(0) |
| 24 | + } |
| 25 | + |
| 26 | + private shiftDown(elementIndex: number) { |
| 27 | + let leftChildIndex = elementIndex * 2 + 1; |
| 28 | + let rightChildIndex = elementIndex * 2 + 2; |
| 29 | + |
| 30 | + while ((leftChildIndex < this.backingArray.length && this.backingArray[leftChildIndex] < this.backingArray[elementIndex]) |
| 31 | + || (rightChildIndex < this.backingArray.length && this.backingArray[rightChildIndex] < this.backingArray[elementIndex])) { |
| 32 | + let smallestIndex = leftChildIndex; |
| 33 | + if (rightChildIndex < this.backingArray.length && this.backingArray[rightChildIndex] < this.backingArray[smallestIndex]) { |
| 34 | + smallestIndex = rightChildIndex |
| 35 | + } |
| 36 | + |
| 37 | + this.swap(elementIndex, smallestIndex); |
| 38 | + |
| 39 | + elementIndex = smallestIndex; |
| 40 | + leftChildIndex = elementIndex * 2 + 1; |
| 41 | + rightChildIndex = elementIndex * 2 + 2; |
| 42 | + } |
| 43 | + } |
| 44 | + |
| 45 | + private shiftUp(elementIndex: number) { |
| 46 | + if (elementIndex === 0) return; |
| 47 | + |
| 48 | + let parentIndex = Math.floor((elementIndex - 1) / 2); |
| 49 | + while (this.backingArray[parentIndex] > this.backingArray[elementIndex]) { |
| 50 | + this.swap(elementIndex, parentIndex); |
| 51 | + elementIndex = parentIndex; |
| 52 | + parentIndex = Math.floor((elementIndex - 1) / 2); |
| 53 | + } |
| 54 | + } |
| 55 | + |
| 56 | + private swap(indexA: number, indexB: number) { |
| 57 | + const temp = this.backingArray[indexA]; |
| 58 | + this.backingArray[indexA] = this.backingArray[indexB]; |
| 59 | + this.backingArray[indexB] = temp; |
| 60 | + } |
| 61 | +} |
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