結果

問題 No.788 トラックの移動
ユーザー ひばち
提出日時 2019-11-15 22:23:04
言語 C#(mono)
(mono 6.0.0.327)
結果
AC  
実行時間 1,926 ms
コード長 9,354 Byte
コンパイル時間 362 ms
使用メモリ 34,228 KB
最終ジャッジ日時 2019-11-16 16:14:03

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
sample_1 AC 33 ms
10,244 KB
sample_2 AC 35 ms
10,268 KB
sample_3 AC 35 ms
10,264 KB
testcase_1 AC 451 ms
22,512 KB
testcase_2 AC 1,834 ms
33,340 KB
testcase_3 AC 1,926 ms
34,220 KB
testcase_4 AC 34 ms
10,272 KB
testcase_5 AC 35 ms
10,260 KB
testcase_6 AC 36 ms
10,256 KB
testcase_7 AC 34 ms
10,272 KB
testcase_8 AC 34 ms
10,288 KB
testcase_9 AC 35 ms
10,280 KB
testcase_10 AC 30 ms
10,124 KB
testcase_11 AC 29 ms
10,140 KB
testcase_12 AC 480 ms
28,704 KB
testcase_13 AC 1,568 ms
34,228 KB
テストケース一括ダウンロード

ソースコード

diff #
using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Runtime.CompilerServices;
using System.Text;
using static Template;
using static System.Console;
using static System.Convert;
using static System.Math;
using Pi = Pair<int, int>;
using Number = System.Int64;

class Solver
{
    Scanner sc = new Scanner();
    //
    List<Dijkstra.Edge>[] edge;
    int[] tr, ts;
    long[] dist;
    public void Solve()
    {
        int N, M, L;
        sc.Make(out N, out M, out L);
        L--;
        ts = new int[N];var ct = 0;
        for(var i = 0; i < N; i++)
        {
            ts[i] = sc.Next<int>();
            if (ts[i] != 0) ct++;
        }
        if (ct == 1) Fail(0);
        var dij = new Dijkstra(N);
        for (var i = 0; i < M; i++)
        {
            int a, b, c;
            sc.Make(out a, out b, out c);
            a--; b--;
            dij.AddEdge(a, b, c);
            dij.AddEdge(b, a, c);
        }
        edge = dij.edges;
        dist = dij.Execute(L);
        tr = Create(N, () => -2);
        for (var i = 0; i < N; i++)
            dfs(i);
        var res = long.MaxValue;
        for (var i = 0; i < N; i++)
        {
            if (tr[i] != -1)
                ts[tr[i]]--;
            var calc = dist[i];
            var d = dij.Execute(i);
            for (var j = 0; j < N; j++)
                calc += 2 * d[j] * ts[j];
            chmin(ref res, calc);
            if (tr[i] != -1)
                ts[tr[i]]++;
        }
        WriteLine(res);
    }
    int dfs(int idx)
    {
        if (tr[idx] != -2) return tr[idx];
        var rt = -1;
        foreach (var e in edge[idx])
            if (e.cost + dist[e.to] == dist[idx])
            {
                var i = dfs(e.to);
                if (i == -1) continue;
                if (rt == -1) rt = i;
                if (dist[rt] > dist[i]) rt = i;
            }
        if (rt == -1 && ts[idx] > 0) rt = idx;
        return tr[idx] = rt;
    }
}

class Dijkstra
{
    private int num;
    public List<Edge>[] edges;
    public Dijkstra(int num)
    { this.num = num; edges = Create(num, () => new List<Edge>()); }
    public void AddEdge(int from, int to, Number weight)
        => edges[from].Add(new Edge(to, weight));
    public Number[] Execute(int st = 0)
    {
        var dist = Create(num, () => Number.MaxValue);
        var pq = new PriorityQueue<Edge>();
        pq.Enqueue(new Edge(st, 0));
        dist[st] = 0;
        while (pq.Any())
        {
            var p = pq.Dequeue();
            if (p.cost > dist[p.to]) continue;
            foreach (var e in edges[p.to])
                if (chmin(ref dist[e.to], e.cost + p.cost))
                    pq.Enqueue(new Edge(e.to, dist[e.to]));
        }
        return dist;
    }

    public struct Edge : IComparable<Edge>
    {
        public int to;
        public Number cost;
        public Edge(int to, Number cost)
        { this.to = to; this.cost = cost; }
        public int CompareTo(Edge e)
            => cost.CompareTo(e.cost);
    }
}

public class PriorityQueue<T>
{
    private List<T> item = new List<T>();
    private Comparison<T> cmp;
    public int Count { get { return item.Count; } }
    public T Peek { get { return item[0]; } }
    public PriorityQueue() { cmp = Comparer<T>.Default.Compare; }

    public PriorityQueue(Comparison<T> comparison) { cmp = comparison; }

    public PriorityQueue(IComparer<T> comparer) { cmp = comparer.Compare; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    private int Parent(int i)
        => (i - 1) >> 1;
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    private int Left(int i)
        => (i << 1) + 1;
    public T Enqueue(T val)
    {
        int i = item.Count;
        item.Add(val);
        while (i > 0)
        {
            int p = Parent(i);
            if (cmp(item[p], val) <= 0)
                break;
            item[i] = item[p];
            i = p;
        }
        item[i] = val;
        return val;
    }
    public T Dequeue()
    {
        var ret = item[0];
        var p = 0;
        var x = item[item.Count - 1];
        while (Left(p) < item.Count - 1)
        {
            var l = Left(p);
            if (l < item.Count - 2 && cmp(item[l + 1], item[l]) < 0) l++;
            if (cmp(item[l], x) >= 0)
                break;
            item[p] = item[l];
            p = l;
        }
        item[p] = x;
        item.RemoveAt(item.Count - 1);
        return ret;
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public bool Any() => item.Count > 0;
}
#region Template
public class Template
{
    static void Main(string[] args)
    {
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver().Solve();
        Console.Out.Flush();
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmin<T>(ref T num, T val) where T : IComparable<T>
    { if (num.CompareTo(val) == 1) { num = val; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmax<T>(ref T num, T val) where T : IComparable<T>
    { if (num.CompareTo(val) == -1) { num = val; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void swap<T>(ref T v1, ref T v2)
    { var t = v2; v2 = v1; v1 = t; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T[] Create<T>(int n, Func<T> f)
    {
        var rt = new T[n];
        for (var i = 0; i < rt.Length; ++i)
            rt[i] = f();
        return rt;
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T[] Create<T>(int n, Func<int, T> f)
    {
        var rt = new T[n];
        for (var i = 0; i < rt.Length; ++i)
            rt[i] = f(i);
        return rt;
    }
    public static void Fail<T>(T s) { Console.WriteLine(s); Console.Out.Close(); Environment.Exit(0); }
}

public class Scanner
{
    StreamReader sr;
    public Scanner() { sr = new StreamReader(Console.OpenStandardInput()); }
    public Scanner(string path) { sr = new StreamReader(path); }
    public string Str => sr.ReadLine().Trim();
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public int[] ArrInt => Str.Split(' ').Select(int.Parse).ToArray();
    public long[] ArrLong => Str.Split(' ').Select(long.Parse).ToArray();
    public char[][] Grid(int n) => Create(n, () => Str.ToCharArray());
    public int[] ArrInt1D(int n) => Create(n, () => Int);
    public long[] ArrLong1D(int n) => Create(n, () => Long);
    public int[][] ArrInt2D(int n) => Create(n, () => ArrInt);
    public long[][] ArrLong2D(int n) => Create(n, () => ArrLong);
    public Pair<T1, T2> PairMake<T1, T2>() => new Pair<T1, T2>(Next<T1>(), Next<T2>());
    public Pair<T1, T2, T3> PairMake<T1, T2, T3>() => new Pair<T1, T2, T3>(Next<T1>(), Next<T2>(), Next<T3>());
    private Queue<string> q = new Queue<string>();
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public T Next<T>()
    {
        if (q.Count == 0)
            foreach (var item in Str.Split(' ')) q.Enqueue(item);
        return (T)Convert.ChangeType(q.Dequeue(), typeof(T));
    }
    public void Make<T1>(out T1 v1) => v1 = Next<T1>();
    public void Make<T1, T2>(out T1 v1, out T2 v2)
    {
        v1 = Next<T1>();
        v2 = Next<T2>();
    }
    public void Make<T1, T2, T3>(out T1 v1, out T2 v2, out T3 v3)
    {
        Make(out v1, out v2);
        v3 = Next<T3>();
    }
    public void Make<T1, T2, T3, T4>(out T1 v1, out T2 v2, out T3 v3, out T4 v4)
    {
        Make(out v1, out v2, out v3);
        v4 = Next<T4>();
    }
    public void Make<T1, T2, T3, T4, T5>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5)
    {
        Make(out v1, out v2, out v3, out v4);
        v5 = Next<T5>();
    }
    public void Make<T1, T2, T3, T4, T5, T6>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6)
    {
        Make(out v1, out v2, out v3, out v4, out v5);
        v6 = Next<T6>();
    }
}
public class Pair<T1, T2> : IComparable<Pair<T1, T2>>
{
    public T1 v1;
    public T2 v2;
    public Pair() { }
    public Pair(T1 v1, T2 v2)
    { this.v1 = v1; this.v2 = v2; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2> p)
    {
        var c = Comparer<T1>.Default.Compare(v1, p.v1);
        if (c == 0)
            c = Comparer<T2>.Default.Compare(v2, p.v2);
        return c;
    }
    public override string ToString()
        => $"{v1.ToString()} {v2.ToString()}";
    public void Deconstruct(out T1 a, out T2 b) { a = v1; b = v2; }
}

public class Pair<T1, T2, T3> : Pair<T1, T2>, IComparable<Pair<T1, T2, T3>>
{
    public T3 v3;
    public Pair() : base() { }
    public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2)
    { this.v3 = v3; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2, T3> p)
    {
        var c = base.CompareTo(p);
        if (c == 0)
            c = Comparer<T3>.Default.Compare(v3, p.v3);
        return c;
    }
    public override string ToString()
        => $"{base.ToString()} {v3.ToString()}";
    public void Deconstruct(out T1 a, out T2 b,out T3 c) { Deconstruct(out a, out b);c = v3; }
}
#endregion
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