結果

問題 No.1308 ジャンプビーコン
ユーザー semisagisemisagi
提出日時 2020-12-06 01:20:54
言語 Swift
(5.10.0)
結果
TLE  
実行時間 -
コード長 3,841 bytes
コンパイル時間 15,345 ms
コンパイル使用メモリ 135,368 KB
実行使用メモリ 13,076 KB
最終ジャッジ日時 2023-10-14 13:40:19
合計ジャッジ時間 16,281 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 3 ms
7,964 KB
testcase_01 AC 4 ms
7,796 KB
testcase_02 AC 3 ms
7,820 KB
testcase_03 AC 4 ms
7,976 KB
testcase_04 AC 4 ms
7,832 KB
testcase_05 AC 3 ms
7,848 KB
testcase_06 AC 3 ms
7,908 KB
testcase_07 AC 4 ms
7,868 KB
testcase_08 AC 8 ms
7,876 KB
testcase_09 AC 9 ms
7,976 KB
testcase_10 AC 8 ms
7,920 KB
testcase_11 AC 8 ms
7,948 KB
testcase_12 AC 9 ms
7,904 KB
testcase_13 AC 297 ms
13,040 KB
testcase_14 AC 294 ms
13,000 KB
testcase_15 AC 298 ms
13,076 KB
testcase_16 AC 293 ms
13,044 KB
testcase_17 AC 292 ms
13,044 KB
testcase_18 TLE -
testcase_19 -- -
testcase_20 -- -
testcase_21 -- -
testcase_22 -- -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
testcase_29 -- -
testcase_30 -- -
testcase_31 -- -
testcase_32 -- -
testcase_33 -- -
testcase_34 -- -
testcase_35 -- -
testcase_36 -- -
testcase_37 -- -
testcase_38 -- -
testcase_39 -- -
権限があれば一括ダウンロードができます

ソースコード

diff # 

struct Scanner {
    private var elements = [String]()
    private var index = 0

    mutating func peek() -> String {
        while elements.count == index {
            elements = readLine()!.split(separator: " ").map(String.init)
            index = 0
        }
        return elements[index]
    }

    mutating func next() -> String {
        defer { index += 1 }
        return peek()
    }

    mutating func nextInt() -> Int {
        return Int(next())!
    }

    mutating func nextInts(_ n: Int) -> [Int] {
        return (0 ..< n).map { _ in nextInt() }
    }

    mutating func nextDouble() -> Double {
        return Double(next())!
    }
}

struct Array2D<Element> {
    let n1: Int
    let n2: Int
    private var elements: [Element]

    init(repeating: Element, _ n1: Int, _ n2: Int) {
        self.n1 = n1
        self.n2 = n2
        self.elements = [Element](repeating: repeating, count: n1 * n2)
    }

    subscript(i: Int, j: Int) -> Element {
        get {
            elements[i * n2 + j]
        }
        set {
            elements[i * n2 + j] = newValue
        }
    }
}

var scanner = Scanner()
let N = scanner.nextInt()
let Q = scanner.nextInt()
let C = scanner.nextInt()

var tree = [[(Int, Int)]](repeating: [], count: N)

for _ in 0 ..< N - 1 {
    let u = scanner.nextInt() - 1
    let v = scanner.nextInt() - 1
    let l = scanner.nextInt()
    tree[u].append((v, l))
    tree[v].append((u, l))
}

var distance = Array2D<Int>(repeating: 0, N, N)

func dfs(u: Int, parent: Int?, root: Int) {
    for (v, w) in tree[u] where v != parent {
        distance[root, v] = distance[root, u] + w
        dfs(u: v, parent: u, root: root)
    }
}
for i in 0 ..< N {
    dfs(u: i, parent: nil, root: i)
}

let X = scanner.nextInts(Q).map { $0 - 1 }

let inf = Int.max / 2

var dp = Array2D<Int>(repeating: inf, Q, N)
dp[0, X[0]] = 0

extension RandomAccessCollection where Element == Int, Index == Int {
    func prefixMinimum(initialValue: Int) -> [Element] {
        var result = [Int](repeating: initialValue, count: count + 1)
        for i in indices {
            result[i + 1] = Swift.min(result[i], self[i])
        }
        return result
    }

    func suffixMinimum(initialValue: Int) -> [Element] {
        var result = [Int](repeating: initialValue, count: count + 1)
        for i in indices.reversed() {
            result[i] = Swift.min(result[i + 1], self[i])
        }
        return result
    }
}

for i in 0 ..< Q - 1 {
    var dp2 = [Int](repeating: inf, count: N)
    func dfs(_ u: Int, _ parent: Int?) {
        dp2[u] = dp[i, u]
        for (v, w) in tree[u] where v != parent {
            dfs(v, u)
            dp2[u] = min(dp2[u], dp2[v] + w)
        }
    }
    func dfs2(_ u: Int, _ parent: Int?) {
        let prefix = tree[u].map { (v, w) in dp2[v] + w }.prefixMinimum(initialValue: dp[i, u])
        let suffix = tree[u].map { (v, w) in dp2[v] + w }.suffixMinimum(initialValue: dp[i, u])
        dp[i + 1, u] = min(dp[i + 1, u], prefix.last! + C + distance[u, X[i + 1]])
        for (i, (v, _)) in tree[u].enumerated() where v != parent {
            dp2[u] = min(prefix[i], suffix[i + 1])
            dfs2(v, u)
        }
    }
    dfs(0, nil)
    dfs2(0, nil)

    for j in 0 ..< N where dp[i, j] != inf {
        dp[i + 1, j] = min(dp[i + 1, j], dp[i, j] + distance[X[i], X[i + 1]])
//                for k in 0 ..< N {
//                    dp[i + 1, k] = min(dp[i + 1, k], dp[i, j] + C + distance[j, k] + distance[k, X[i + 1]])
//                    dp[i + 1, k] = min(dp[i + 1, k], dp[i, j] + distance[X[i], k] + distance[k, X[i + 1]])
//                }
    }

    let m = (0 ..< N).map { dp[i, $0] }.min()!
    for j in 0 ..< N {
        dp[i + 1, j] = min(dp[i + 1, j], m + distance[X[i], j] + distance[j, X[i + 1]])
    }
}

print((0 ..< N).map { dp[Q - 1, $0] }.min()!)
0