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| 1 | +class MedianFinder { |
| 2 | + |
| 3 | + struct Heap { |
| 4 | + private var element: [Int] = [] |
| 5 | + private let isMinHeap: Bool |
| 6 | + var count: Int { |
| 7 | + return element.count |
| 8 | + } |
| 9 | + |
| 10 | + init(isMinHeap: Bool) { |
| 11 | + self.isMinHeap = isMinHeap |
| 12 | + } |
| 13 | + |
| 14 | + func peek() -> Int? { |
| 15 | + return element.first |
| 16 | + } |
| 17 | + |
| 18 | + mutating func insert(_ value: Int) { |
| 19 | + element.append(value) |
| 20 | + |
| 21 | + var currentIndex = element.count - 1 |
| 22 | + |
| 23 | + while currentIndex > 0 { |
| 24 | + let parentIndex = (currentIndex - 1) / 2 |
| 25 | + |
| 26 | + if isMinHeap { |
| 27 | + if element[currentIndex] < element[parentIndex] { |
| 28 | + let temp = element[currentIndex] |
| 29 | + element[currentIndex] = element[parentIndex] |
| 30 | + element[parentIndex] = temp |
| 31 | + |
| 32 | + currentIndex = parentIndex |
| 33 | + } else { |
| 34 | + break |
| 35 | + } |
| 36 | + } else { |
| 37 | + if element[currentIndex] > element[parentIndex] { |
| 38 | + let temp = element[currentIndex] |
| 39 | + element[currentIndex] = element[parentIndex] |
| 40 | + element[parentIndex] = temp |
| 41 | + |
| 42 | + currentIndex = parentIndex |
| 43 | + } else { |
| 44 | + break |
| 45 | + } |
| 46 | + } |
| 47 | + } |
| 48 | + } |
| 49 | + |
| 50 | + mutating func remove() -> Int? { |
| 51 | + guard !element.isEmpty else { return nil } |
| 52 | + |
| 53 | + if element.count == 1 { |
| 54 | + return element.removeLast() |
| 55 | + } |
| 56 | + |
| 57 | + let value = element[0] |
| 58 | + |
| 59 | + element[0] = element.removeLast() |
| 60 | + siftDown(index: 0) |
| 61 | + |
| 62 | + return value |
| 63 | + } |
| 64 | + |
| 65 | + mutating private func siftDown(index: Int) { |
| 66 | + var parentIndex = index |
| 67 | + var count = element.count |
| 68 | + |
| 69 | + while parentIndex < count { |
| 70 | + let leftChildIndex = parentIndex * 2 + 1 |
| 71 | + let rightChildIndex = parentIndex * 2 + 2 |
| 72 | + var tempIndex = parentIndex |
| 73 | + |
| 74 | + if isMinHeap { |
| 75 | + if leftChildIndex < count && element[leftChildIndex] < element[parentIndex] { |
| 76 | + tempIndex = leftChildIndex |
| 77 | + } |
| 78 | + |
| 79 | + if rightChildIndex < count && element[rightChildIndex] < element[tempIndex] { |
| 80 | + tempIndex = rightChildIndex |
| 81 | + } |
| 82 | + |
| 83 | + } else { |
| 84 | + if leftChildIndex < count && element[leftChildIndex] > element[parentIndex] { |
| 85 | + tempIndex = leftChildIndex |
| 86 | + } |
| 87 | + |
| 88 | + if rightChildIndex < count && element[rightChildIndex] > element[tempIndex] { |
| 89 | + tempIndex = rightChildIndex |
| 90 | + } |
| 91 | + } |
| 92 | + |
| 93 | + if parentIndex == tempIndex { |
| 94 | + break |
| 95 | + } |
| 96 | + |
| 97 | + element.swapAt(parentIndex, tempIndex) |
| 98 | + parentIndex = tempIndex |
| 99 | + } |
| 100 | + } |
| 101 | + } |
| 102 | + |
| 103 | + private var maxHeap = Heap(isMinHeap: false) |
| 104 | + private var minHeap = Heap(isMinHeap: true) |
| 105 | + |
| 106 | + init() { |
| 107 | + |
| 108 | + } |
| 109 | + |
| 110 | + func addNum(_ num: Int) { |
| 111 | + if maxHeap.count == 0 { |
| 112 | + maxHeap.insert(num) |
| 113 | + return |
| 114 | + } |
| 115 | + |
| 116 | + if num <= maxHeap.peek()! { |
| 117 | + maxHeap.insert(num) |
| 118 | + } else { |
| 119 | + minHeap.insert(num) |
| 120 | + } |
| 121 | + |
| 122 | + if minHeap.count > maxHeap.count { |
| 123 | + maxHeap.insert(minHeap.remove()!) |
| 124 | + } |
| 125 | + |
| 126 | + if maxHeap.count > minHeap.count + 1 { |
| 127 | + minHeap.insert(maxHeap.remove()!) |
| 128 | + } |
| 129 | + } |
| 130 | + |
| 131 | + func findMedian() -> Double { |
| 132 | + if maxHeap.count == minHeap.count { |
| 133 | + return Double((maxHeap.peek()! + minHeap.peek()!)) / 2 |
| 134 | + } |
| 135 | + |
| 136 | + return Double(maxHeap.peek()!) |
| 137 | + } |
| 138 | +} |
| 139 | + |
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