|
| 1 | +let ve = readLine()!.split(separator: " ").compactMap { Int($0) } |
| 2 | +let (v, e) = (ve[0], ve[1]) |
| 3 | +let k = Int(readLine()!)! |
| 4 | +var graph = [[(w: Int, v: Int)]](repeating: [], count: v + 1) |
| 5 | + |
| 6 | +for _ in 0..<e { |
| 7 | + let input = readLine()!.split(separator: " ").compactMap { Int($0) } |
| 8 | + graph[input[0]].append((input[2], input[1])) |
| 9 | +} |
| 10 | + |
| 11 | +var dists = [Int](repeating: Int.max, count: v + 1) |
| 12 | +var heap = Heap<(w: Int, v: Int)> { $0.w < $1.w } |
| 13 | +heap.push((0, k)) |
| 14 | +dists[k] = 0 |
| 15 | + |
| 16 | +while let (curDist, curValue) = heap.pop() { |
| 17 | + guard dists[curValue] == curDist else { continue } |
| 18 | + |
| 19 | + for (nextWeight, nextValue) in graph[curValue] { |
| 20 | + let nextDist = curDist + nextWeight |
| 21 | + if nextDist < dists[nextValue] { |
| 22 | + heap.push((nextDist, nextValue)) |
| 23 | + dists[nextValue] = nextDist |
| 24 | + } |
| 25 | + } |
| 26 | +} |
| 27 | + |
| 28 | +for i in 1...v { |
| 29 | + let dist = dists[i] |
| 30 | + print(dist == Int.max ? "INF" : dist) |
| 31 | +} |
| 32 | + |
| 33 | +struct Heap<T> { |
| 34 | + var elements: [T] |
| 35 | + let priority: (T, T) -> Bool |
| 36 | + |
| 37 | + var isEmpty: Bool { elements.isEmpty } |
| 38 | + var count: Int { elements.count } |
| 39 | + |
| 40 | + init(_ priority: @escaping (T, T) -> Bool) { |
| 41 | + self.elements = [] |
| 42 | + self.priority = priority |
| 43 | + } |
| 44 | + |
| 45 | + mutating func push(_ element: T) { |
| 46 | + elements.append(element) |
| 47 | + siftUp(from: elements.count - 1) |
| 48 | + } |
| 49 | + |
| 50 | + mutating func pop() -> T? { |
| 51 | + guard !elements.isEmpty else { return nil } |
| 52 | + elements.swapAt(0, elements.count - 1) |
| 53 | + let removed = elements.removeLast() |
| 54 | + siftDown(from: 0) |
| 55 | + return removed |
| 56 | + } |
| 57 | + |
| 58 | + private mutating func siftUp(from index: Int) { |
| 59 | + var newIndex = index |
| 60 | + var parent = (index - 1) / 2 |
| 61 | + |
| 62 | + while newIndex > 0 && priority(elements[newIndex], elements[parent]) { |
| 63 | + elements.swapAt(newIndex, parent) |
| 64 | + newIndex = parent |
| 65 | + parent = (newIndex - 1) / 2 |
| 66 | + } |
| 67 | + } |
| 68 | + |
| 69 | + private mutating func siftDown(from index: Int) { |
| 70 | + var parent = index |
| 71 | + |
| 72 | + while true { |
| 73 | + let left = parent * 2 + 1 |
| 74 | + let right = parent * 2 + 2 |
| 75 | + var candidate = parent |
| 76 | + |
| 77 | + if left < elements.count && priority(elements[left], elements[parent]) { |
| 78 | + candidate = left |
| 79 | + } |
| 80 | + if right < elements.count && priority(elements[right], elements[candidate]) { |
| 81 | + candidate = right |
| 82 | + } |
| 83 | + |
| 84 | + guard candidate != parent else { break } |
| 85 | + elements.swapAt(candidate, parent) |
| 86 | + parent = candidate |
| 87 | + } |
| 88 | + } |
| 89 | +} |
0 commit comments