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| 1 | +class MedianFinder { |
| 2 | + private var minQ = Heap<Int>(sort: <) |
| 3 | + private var maxQ = Heap<Int>(sort: >) |
| 4 | + |
| 5 | + init() { |
| 6 | + } |
| 7 | + |
| 8 | + func addNum(_ num: Int) { |
| 9 | + maxQ.insert(num) |
| 10 | + minQ.insert(maxQ.remove()!) |
| 11 | + if maxQ.count < minQ.count { |
| 12 | + maxQ.insert(minQ.remove()!) |
| 13 | + } |
| 14 | + } |
| 15 | + |
| 16 | + func findMedian() -> Double { |
| 17 | + if maxQ.count > minQ.count { |
| 18 | + return Double(maxQ.peek()!) |
| 19 | + } |
| 20 | + return (Double(maxQ.peek()!) + Double(minQ.peek()!)) / 2.0 |
| 21 | + } |
| 22 | +} |
| 23 | + |
| 24 | +struct Heap<T> { |
| 25 | + var elements: [T] |
| 26 | + let sort: (T, T) -> Bool |
| 27 | + |
| 28 | + init(sort: @escaping (T, T) -> Bool, elements: [T] = []) { |
| 29 | + self.sort = sort |
| 30 | + self.elements = elements |
| 31 | + if !elements.isEmpty { |
| 32 | + for i in stride(from: elements.count / 2 - 1, through: 0, by: -1) { |
| 33 | + siftDown(from: i) |
| 34 | + } |
| 35 | + } |
| 36 | + } |
| 37 | + |
| 38 | + var isEmpty: Bool { |
| 39 | + return elements.isEmpty |
| 40 | + } |
| 41 | + |
| 42 | + var count: Int { |
| 43 | + return elements.count |
| 44 | + } |
| 45 | + |
| 46 | + func peek() -> T? { |
| 47 | + return elements.first |
| 48 | + } |
| 49 | + |
| 50 | + mutating func insert(_ value: T) { |
| 51 | + elements.append(value) |
| 52 | + siftUp(from: elements.count - 1) |
| 53 | + } |
| 54 | + |
| 55 | + mutating func remove() -> T? { |
| 56 | + guard !elements.isEmpty else { return nil } |
| 57 | + elements.swapAt(0, elements.count - 1) |
| 58 | + let removedValue = elements.removeLast() |
| 59 | + siftDown(from: 0) |
| 60 | + return removedValue |
| 61 | + } |
| 62 | + |
| 63 | + private mutating func siftUp(from index: Int) { |
| 64 | + var child = index |
| 65 | + var parent = parentIndex(ofChildAt: child) |
| 66 | + while child > 0 && sort(elements[child], elements[parent]) { |
| 67 | + elements.swapAt(child, parent) |
| 68 | + child = parent |
| 69 | + parent = parentIndex(ofChildAt: child) |
| 70 | + } |
| 71 | + } |
| 72 | + |
| 73 | + private mutating func siftDown(from index: Int) { |
| 74 | + var parent = index |
| 75 | + while true { |
| 76 | + let left = leftChildIndex(ofParentAt: parent) |
| 77 | + let right = rightChildIndex(ofParentAt: parent) |
| 78 | + var candidate = parent |
| 79 | + if left < count && sort(elements[left], elements[candidate]) { |
| 80 | + candidate = left |
| 81 | + } |
| 82 | + if right < count && sort(elements[right], elements[candidate]) { |
| 83 | + candidate = right |
| 84 | + } |
| 85 | + if candidate == parent { |
| 86 | + return |
| 87 | + } |
| 88 | + elements.swapAt(parent, candidate) |
| 89 | + parent = candidate |
| 90 | + } |
| 91 | + } |
| 92 | + |
| 93 | + private func parentIndex(ofChildAt index: Int) -> Int { |
| 94 | + return (index - 1) / 2 |
| 95 | + } |
| 96 | + |
| 97 | + private func leftChildIndex(ofParentAt index: Int) -> Int { |
| 98 | + return 2 * index + 1 |
| 99 | + } |
| 100 | + |
| 101 | + private func rightChildIndex(ofParentAt index: Int) -> Int { |
| 102 | + return 2 * index + 2 |
| 103 | + } |
| 104 | +} |
| 105 | + |
| 106 | +/** |
| 107 | + * Your MedianFinder object will be instantiated and called as such: |
| 108 | + * let obj = MedianFinder() |
| 109 | + * obj.addNum(num) |
| 110 | + * let ret_2: Double = obj.findMedian() |
| 111 | + */ |
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