結果

問題 No.1194 Replace
ユーザー EmKjpEmKjp
提出日時 2020-08-22 17:36:55
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 1,397 ms / 2,000 ms
コード長 11,081 bytes
コンパイル時間 3,533 ms
コンパイル使用メモリ 119,384 KB
実行使用メモリ 137,000 KB
最終ジャッジ日時 2024-10-15 11:25:50
合計ジャッジ時間 24,451 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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 866 ms
97,600 KB
testcase_01 AC 933 ms
96,852 KB
testcase_02 AC 722 ms
85,196 KB
testcase_03 AC 624 ms
78,864 KB
testcase_04 AC 931 ms
96,872 KB
testcase_05 AC 856 ms
96,784 KB
testcase_06 AC 816 ms
92,432 KB
testcase_07 AC 1,374 ms
136,824 KB
testcase_08 AC 1,390 ms
136,964 KB
testcase_09 AC 1,388 ms
137,000 KB
testcase_10 AC 1,397 ms
136,988 KB
testcase_11 AC 1,394 ms
136,848 KB
testcase_12 AC 1,369 ms
136,992 KB
testcase_13 AC 561 ms
61,584 KB
testcase_14 AC 448 ms
52,556 KB
testcase_15 AC 482 ms
59,840 KB
testcase_16 AC 563 ms
61,520 KB
testcase_17 AC 436 ms
56,936 KB
testcase_18 AC 383 ms
50,880 KB
testcase_19 AC 600 ms
63,904 KB
testcase_20 AC 40 ms
18,944 KB
testcase_21 AC 40 ms
19,072 KB
testcase_22 AC 40 ms
19,200 KB
testcase_23 AC 206 ms
42,872 KB
testcase_24 AC 104 ms
32,116 KB
testcase_25 AC 53 ms
20,832 KB
testcase_26 AC 187 ms
35,836 KB
testcase_27 AC 60 ms
21,632 KB
testcase_28 AC 101 ms
27,264 KB
testcase_29 AC 48 ms
20,992 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Globalization;
using System.IO;
using System.Text;
using System.Linq;

using E = System.Linq.Enumerable;
using System.Threading;
using System.Numerics;

internal partial class Solver {
    public void Run() {
        var n = ni();
        var m = ni();
        var b = new int[m];
        var c = new int[m];
        for (int i = 0; i < m; i++) {
            b[i] = ni();
            c[i] = ni();
        }
        var D = new IndexDictionary<int>(b.Concat(c));
        var adj = Enumerable.Range(0, D.Count).Select(_ => new List<int>()).ToArray();
        for (int i = 0; i < m; i++) {
            var index1 = D.IndexOf(b[i]);
            var index2 = D.IndexOf(c[i]);
            adj[index1].Add(index2);
        }
        var scc = new StronglyConnectedComponent(adj);
        var components = scc.Run();
        var toMax = new int[D.Count];
        components.Reverse();
        long ans = 1L * n * (n + 1) / 2;
        foreach (var comp in components) {
            int val = comp.Select(i => D[i]).Max();
            foreach (var p in comp) {
                foreach (var next in adj[p]) {
                    val = Math.Max(val, toMax[next]);
                }
            }
            foreach (var p in comp) {
                toMax[p] = val;
                ans += val - D[p];
                //new { val = D[p], toMax = val }.TextDump();
            }
        }
        cout.WriteLine(ans);
    }

    static public List<int> GetTopologicalOrder(List<int>[] adj) {
        var n = adj.Length;
        var inDegree = new int[n];
        for (int i = 0; i < n; i++) {
            foreach (var p in adj[i]) {
                inDegree[p]++;
            }
        }
        var qu = new Queue<int>();
        for (int i = 0; i < n; i++) {
            if (inDegree[i] == 0) {
                qu.Enqueue(i);
                qu.Enqueue(1);
            }
        }
        int maxDay = 0;
        var order = new List<int>();
        while (qu.Count > 0) {
            var current = qu.Dequeue();
            var day = qu.Dequeue();
            order.Add(current);
            maxDay = Math.Max(day, maxDay);
            foreach (var next in adj[current]) {
                inDegree[next]--;
                if (inDegree[next] == 0) {
                    qu.Enqueue(next);
                    qu.Enqueue(day + 1);
                }
            }
        }
        if (inDegree.Any(d => d > 0)) return null;
        return order;
    }
}

public class StronglyConnectedComponent {
    private readonly int _n;
    private readonly bool[] _isVisited;
    private readonly List<int>[] _adjacent;
    private readonly List<int>[] _inverseAdjacent;
    private readonly Stack<int> _stack = new Stack<int>();

    public StronglyConnectedComponent(List<int>[] adj) {
        _adjacent = adj;
        _n = adj.Length;
        _isVisited = new bool[_n];
        _inverseAdjacent = new List<int>[_n];
        for (var i = 0; i < _n; i++) {
            _inverseAdjacent[i] = new List<int>();
        }

        for (var i = 0; i < _n; i++) {
            foreach (var x in adj[i]) {
                _inverseAdjacent[x].Add(i);
            }
        }
    }

    private void Traverse(int k, List<int>[] adjacent, List<int> label) {
        if (_isVisited[k]) {
            return;
        }
        _stack.Push(k);
        while (_stack.Count > 0) {
            int top = _stack.Pop();
            if (top < 0) {
                label.Add(-top - 1);
                continue;
            }
            if (_isVisited[top]) {
                continue;
            }
            _isVisited[top] = true;
            _stack.Push(-(top + 1));
            foreach (int x in adjacent[top]) {
                if (!_isVisited[x]) {
                    _stack.Push(x);
                }
            }
        }
    }

    public List<List<int>> Run() {
        var label = new List<int>();
        for (var i = 0; i < _n; i++) {
            Traverse(i, _adjacent, label);
        }

        label.Reverse();
        Array.Clear(_isVisited, 0, _isVisited.Length);
        var components = new List<List<int>>();
        foreach (var x in label) {
            if (!_isVisited[x]) {
                var group = new List<int>();
                Traverse(x, _inverseAdjacent, group);
                components.Add(group);
            }
        }
        return components;
    }

    public int[] GetGroupArray() {
        var component = Run();
        var group = new int[_n];
        for (var i = 0; i < component.Count; i++) {
            foreach (var x in component[i]) {
                group[x] = i;
            }
        }
        return group; // group index is topological order
    }
}
public class IndexDictionary<T> {
    private readonly Dictionary<T, int> _toIndex;
    private readonly T[] _array;

    public IndexDictionary(IEnumerable<T> source) : this(source, Comparer<T>.Default.Compare) { }

    public IndexDictionary(IEnumerable<T> source, Comparison<T> comparison) {
        _array = source.Distinct().ToArray();
        Array.Sort(_array, comparison);
        _toIndex = new Dictionary<T, int>(_array.Length);
        int index = -1;
        foreach (var x in _array) {
            _toIndex[x] = ++index;
        }
    }

    public int Count { get { return _array.Length; } }

    public T this[int index] { get { return _array[index]; } }

    public int IndexOf(T value) { return _toIndex[value]; }

    public T[] ToArray() {
        return _array.ToArray();
    }
}


// PREWRITEN CODE BEGINS FROM HERE

static public class StringExtensions {
    static public string JoinToString<T>(this IEnumerable<T> source, string separator = " ") {
        return string.Join(separator, source);
    }
}

internal partial class Solver : Scanner {
    static readonly int? StackSizeInMebiByte = null; //50;
    public static void StartAndJoin(Action action, int maxStackSize) {
        var thread = new Thread(new ThreadStart(action), maxStackSize);
        thread.Start();
        thread.Join();
    }

    public static void Main() {
#if LOCAL
        byte[] inputBuffer = new byte[1000000];
        var inputStream = Console.OpenStandardInput(inputBuffer.Length);
        using (var reader = new StreamReader(inputStream, Console.InputEncoding, false, inputBuffer.Length)) {
            Console.SetIn(reader);
            new Solver(Console.In, Console.Out).Run();
        }
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        if (StackSizeInMebiByte.HasValue) {
            StartAndJoin(() => new Solver(Console.In, Console.Out).Run(), StackSizeInMebiByte.Value * 1024 * 1024);
        } else {
            new Solver(Console.In, Console.Out).Run();
        }
        Console.Out.Flush();
#endif
    }

#pragma warning disable IDE0052
    private readonly TextReader cin;
    private readonly TextWriter cout;
    private readonly TextWriter cerr;
#pragma warning restore IDE0052

    public Solver(TextReader reader, TextWriter writer)
        : base(reader) {
        cin = reader;
        cout = writer;
        cerr = Console.Error;
    }

    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer) {
    }

#pragma warning disable IDE1006
#pragma warning disable IDE0051
    private int ni() { return NextInt(); }
    private int[] ni(int n) { return NextIntArray(n); }
    private long nl() { return NextLong(); }
    private long[] nl(int n) { return NextLongArray(n); }
    private double nd() { return NextDouble(); }
    private double[] nd(int n) { return NextDoubleArray(n); }
    private string ns() { return Next(); }
    private string[] ns(int n) { return NextArray(n); }
#pragma warning restore IDE1006
#pragma warning restore IDE0051
}

#if DEBUG
internal static class LinqPadExtension {
    public static string TextDump<T>(this T obj) {
        if (obj is IEnumerable) return (obj as IEnumerable).Cast<object>().JoinToString().Dump();
        else return obj.ToString().Dump();
    }
    public static T Dump<T>(this T obj) {
        return LINQPad.Extensions.Dump(obj);
    }
}
#endif

public class Scanner {
    private readonly TextReader Reader;
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;

    private readonly char[] buffer = new char[2 * 1024];
    private int cursor = 0, length = 0;
    private string Token;
    private readonly StringBuilder sb = new StringBuilder(1024);

    public Scanner()
        : this(Console.In) {
    }

    public Scanner(TextReader reader) {
        Reader = reader;
    }

    public int NextInt() { return checked((int)NextLong()); }
    public long NextLong() {
        var s = Next();
        long r = 0;
        int i = 0;
        bool negative = false;
        if (s[i] == '-') {
            negative = true;
            i++;
        }
        for (; i < s.Length; i++) {
            r = r * 10 + (s[i] - '0');
#if DEBUG
            if (!char.IsDigit(s[i])) throw new FormatException();
#endif
        }
        return negative ? -r : r;
    }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size) {
        string[] array = new string[size];
        for (int i = 0; i < size; i++) {
            array[i] = Next();
        }

        return array;
    }
    public int[] NextIntArray(int size) {
        int[] array = new int[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextInt();
        }

        return array;
    }

    public long[] NextLongArray(int size) {
        long[] array = new long[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextLong();
        }

        return array;
    }

    public double[] NextDoubleArray(int size) {
        double[] array = new double[size];
        for (int i = 0; i < size; i++) {
            array[i] = NextDouble();
        }

        return array;
    }

    public string Next() {
        if (Token == null) {
            if (!StockToken()) {
                throw new Exception();
            }
        }
        var token = Token;
        Token = null;
        return token;
    }

    public bool HasNext() {
        if (Token != null) {
            return true;
        }

        return StockToken();
    }

    private bool StockToken() {
        while (true) {
            sb.Clear();
            while (true) {
                if (cursor >= length) {
                    cursor = 0;
                    if ((length = Reader.Read(buffer, 0, buffer.Length)) <= 0) {
                        break;
                    }
                }
                var c = buffer[cursor++];
                if (33 <= c && c <= 126) {
                    sb.Append(c);
                } else {
                    if (sb.Length > 0) break;
                }
            }

            if (sb.Length > 0) {
                Token = sb.ToString();
                return true;
            }

            return false;
        }
    }
}
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