結果

問題 No.1660 Matrix Exponentiation
ユーザー りあんりあん
提出日時 2021-08-27 22:06:00
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 471 ms / 2,000 ms
コード長 8,685 bytes
コンパイル時間 1,689 ms
コンパイル使用メモリ 120,428 KB
実行使用メモリ 88,716 KB
最終ジャッジ日時 2024-11-21 02:30:37
合計ジャッジ時間 7,751 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
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 34 ms
26,540 KB
testcase_01 AC 30 ms
24,940 KB
testcase_02 AC 34 ms
25,972 KB
testcase_03 AC 35 ms
28,132 KB
testcase_04 AC 34 ms
26,288 KB
testcase_05 AC 33 ms
27,940 KB
testcase_06 AC 29 ms
26,984 KB
testcase_07 AC 33 ms
26,284 KB
testcase_08 AC 34 ms
26,092 KB
testcase_09 AC 124 ms
56,780 KB
testcase_10 AC 123 ms
55,128 KB
testcase_11 AC 31 ms
26,980 KB
testcase_12 AC 28 ms
24,948 KB
testcase_13 AC 30 ms
25,072 KB
testcase_14 AC 35 ms
26,284 KB
testcase_15 AC 36 ms
26,152 KB
testcase_16 AC 34 ms
24,368 KB
testcase_17 AC 35 ms
26,292 KB
testcase_18 AC 36 ms
26,284 KB
testcase_19 AC 285 ms
57,236 KB
testcase_20 AC 227 ms
57,008 KB
testcase_21 AC 210 ms
44,508 KB
testcase_22 AC 78 ms
43,216 KB
testcase_23 AC 160 ms
49,720 KB
testcase_24 AC 467 ms
88,716 KB
testcase_25 AC 265 ms
59,896 KB
testcase_26 AC 471 ms
86,792 KB
testcase_27 AC 32 ms
25,212 KB
testcase_28 AC 387 ms
70,544 KB
testcase_29 AC 344 ms
61,848 KB
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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.Generic;
using System.Linq;
using System.IO;
using System.Threading;
using System.Text;
using System.Text.RegularExpressions;
using System.Diagnostics;
using static util;
using P = pair<int, int>;

class Program {
    static void Main(string[] args) {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        var solver = new Solver(sw);
        // var t = new Thread(solver.solve, 1 << 28); // 256 MB
        // t.Start();
        // t.Join();
        solver.solve();
        sw.Flush();
    }
}

class Solver {
    StreamWriter sw;
    Scan sc;
    void Prt(string a) => sw.WriteLine(a);
    void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
    void Prt(params object[] a) => Prt(string.Join(" ", a));
    public Solver(StreamWriter sw) {
        this.sw = sw;
        this.sc = new Scan();
    }

    public void solve() {
        int n, k;
        sc.Multi(out n, out k);
        var edge = new List<int>[n];
        for (int i = 0; i < n; i++)
        {
            edge[i] = new List<int>();
        }
        for (int i = 0; i < k; i++)
        {
            int u, v;
            sc.Multi(out u, out v);
            --u;
            --v;
            if (u == v) {
                Prt(-1);
                return;
            }
            edge[u].Add(v);
        }
        List<int>[] cmped;
        var scc = Scc.scc(edge, out cmped);
        if (cmped.Length < n) {
            Prt(-1);
            return;
        }
        var max = new int[n];
        for (int i = 0; i < n; i++)
        {
            foreach (var item in cmped[i])
            {
                max[item] = Math.Max(max[item], max[i] + 1);
            }
        }
        Prt(max.Max() + 1);
    }
}

class pair<T, U> : IComparable<pair<T, U>> {
    public T v1;
    public U v2;
    public pair() : this(default(T), default(U)) {}
    public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
    public int CompareTo(pair<T, U> a) {
        int c = Comparer<T>.Default.Compare(v1, a.v1);
        return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
    }
    public override string ToString() => $"{v1} {v2}";
    public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
}
static class util {
    public static readonly int M = 1000000007;
    // public static readonly int M = 998244353;
    public static readonly long LM = 1L << 60;
    public static readonly double eps = 1e-11;
    public static void DBG(string a) => Console.Error.WriteLine(a);
    public static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
    public static void DBG(params object[] a) => DBG(string.Join(" ", a));
    public static void Assert(params bool[] conds) {
        if (conds.Any(x => !x)) throw new Exception();
    }
    public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
    public static int CompareList<T>(IList<T> a, IList<T> b) where T : IComparable<T> {
        for (int i = 0; i < a.Count && i < b.Count; i++)
            if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]);
        return a.Count.CompareTo(b.Count);
    }
    public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
    public static readonly int[] dd = { 0, 1, 0, -1 };
    // static readonly string dstring = "RDLU";
    public static IEnumerable<P> adjacents(int i, int j) {
        for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(int i, int j, int h, int w) {
        for (int k = 0; k < 4; k++) if (inside(i + dd[k], j + dd[k ^ 1], h, w))
            yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(this P p) => adjacents(p.v1, p.v2);
    public static IEnumerable<P> adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
    public static IEnumerable<int> all_subset(this int p) {
        for (int i = 0; ; i = i - p & p) {
            yield return i;
            if (i == p) break;
        }
    }
    public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
        => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
    public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a)
        => compress(a.SelectMany(x => x));
    public static T[] inv<T>(this Dictionary<T, int> dic) {
        var res = new T[dic.Count];
        foreach (var item in dic) res[item.Value] = item.Key;
        return res;
    }
    public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
    public static void swap<T>(this IList<T> a, int i, int j) where T : struct {
        var t = a[i]; a[i] = a[j]; a[j] = t;
    }
    public static T[] copy<T>(this IList<T> a) {
        var ret = new T[a.Count];
        for (int i = 0; i < a.Count; i++) ret[i] = a[i];
        return ret;
    }
}

class Scan {
    StreamReader sr;
    public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
    public Scan(string path) { sr = new StreamReader(path); }
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public string Str => ReadLine.Trim();
    public string ReadLine => sr.ReadLine();
    public pair<T, U> Pair<T, U>() {
        T a; U b;
        Multi(out a, out b);
        return new pair<T, U>(a, b);
    }
    public P P => Pair<int, int>();
    public int[] IntArr => StrArr.Select(int.Parse).ToArray();
    public long[] LongArr => StrArr.Select(long.Parse).ToArray();
    public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
    public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
    bool eq<T, U>() => typeof(T).Equals(typeof(U));
    T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
    T cv<T>(string s) => eq<T, int>()    ? ct<T, int>(int.Parse(s))
                       : eq<T, long>()   ? ct<T, long>(long.Parse(s))
                       : eq<T, double>() ? ct<T, double>(double.Parse(s))
                       : eq<T, char>()   ? ct<T, char>(s[0])
                                         : ct<T, string>(s);
    public void Multi<T>(out T a) => a = cv<T>(Str);
    public void Multi<T, U>(out T a, out U b) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]);
    }
    public void Multi<T, U, V>(out T a, out U b, out V c) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
    }
    public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]);
    }
    public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]);
    }
    public void Multi<T, U, V, W, X, Y>(out T a, out U b, out V c, out W d, out X e, out Y f) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
        d = cv<W>(ar[3]); e = cv<X>(ar[4]); f = cv<Y>(ar[5]);
    }
}

static class Scc {
    public static int[] scc(List<int>[] edge, out List<int>[] cmped_edge) {
        int n = edge.Length;
        var vis = new bool[n];
        var lis = new List<int>();
        var rev = new List<int>[n];
        var cmp = new int[n];
        for (int i = 0; i < n; i++) {
            if (!vis[i]) dfs1(i, vis, lis, edge);
            rev[i] = new List<int>();
            cmp[i] = -1;
        }
        for (int i = 0; i < n; i++)
            foreach (int j in edge[i]) rev[j].Add(i);

        int k = 0;
        for (int i = lis.Count - 1; i >= 0 ; i--)
            if (cmp[lis[i]] == -1) dfs2(lis[i], k++, cmp, rev);

        var cmped_edge_set = new HashSet<int>[k];
        for (int i = 0; i < k; i++)
            cmped_edge_set[i] = new HashSet<int>();

        for (int i = 0; i < n; i++)
            foreach (var item in edge[i])
                if (cmp[i] != cmp[item])
                    cmped_edge_set[cmp[i]].Add(cmp[item]);

        cmped_edge = new List<int>[k];
        for (int i = 0; i < k; i++)
            cmped_edge[i] = new List<int>(cmped_edge_set[i]);

        return cmp;
    }
    static void dfs1(int v, bool[] vis, List<int> lis, List<int>[] edge) {
        vis[v] = true;
        foreach (int i in edge[v]) if (!vis[i]) dfs1(i, vis, lis, edge);
        lis.Add(v);
    }
    static void dfs2(int v, int k, int[] cmp, List<int>[] edge) {
        cmp[v] = k;
        foreach (int i in edge[v])
            if (cmp[i] == -1) dfs2(i, k, cmp, edge);
    }
}
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