結果

問題 No.261 ぐるぐるぐるぐる!あみだくじ!
ユーザー eitahoeitaho
提出日時 2015-08-07 17:40:21
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 78 ms / 5,000 ms
コード長 6,114 bytes
コンパイル時間 2,915 ms
コンパイル使用メモリ 110,764 KB
実行使用メモリ 23,864 KB
最終ジャッジ日時 2023-09-25 05:52:11
合計ジャッジ時間 7,846 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
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 64 ms
23,800 KB
testcase_01 AC 66 ms
23,672 KB
testcase_02 AC 64 ms
23,864 KB
testcase_03 AC 77 ms
21,828 KB
testcase_04 AC 64 ms
19,696 KB
testcase_05 AC 65 ms
21,840 KB
testcase_06 AC 76 ms
23,788 KB
testcase_07 AC 74 ms
21,892 KB
testcase_08 AC 64 ms
21,832 KB
testcase_09 AC 64 ms
23,848 KB
testcase_10 AC 65 ms
21,792 KB
testcase_11 AC 65 ms
21,776 KB
testcase_12 AC 66 ms
21,832 KB
testcase_13 AC 66 ms
21,704 KB
testcase_14 AC 77 ms
23,856 KB
testcase_15 AC 76 ms
21,736 KB
testcase_16 AC 73 ms
21,752 KB
testcase_17 AC 76 ms
21,828 KB
testcase_18 AC 73 ms
21,716 KB
testcase_19 AC 75 ms
21,804 KB
testcase_20 AC 76 ms
23,792 KB
testcase_21 AC 75 ms
21,712 KB
testcase_22 AC 76 ms
21,820 KB
testcase_23 AC 76 ms
21,780 KB
testcase_24 AC 77 ms
23,804 KB
testcase_25 AC 76 ms
21,660 KB
testcase_26 AC 76 ms
21,784 KB
testcase_27 AC 75 ms
21,812 KB
testcase_28 AC 77 ms
21,752 KB
testcase_29 AC 77 ms
23,756 KB
testcase_30 AC 76 ms
19,864 KB
testcase_31 AC 75 ms
21,756 KB
testcase_32 AC 78 ms
21,944 KB
testcase_33 AC 76 ms
21,720 KB
testcase_34 AC 77 ms
21,796 KB
testcase_35 AC 76 ms
21,832 KB
testcase_36 AC 77 ms
21,920 KB
testcase_37 AC 77 ms
23,700 KB
testcase_38 AC 76 ms
21,800 KB
testcase_39 AC 76 ms
21,768 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.IO;
using System.Linq;
using System.Text;
using System.Collections.Generic;
using System.Diagnostics;
using System.Numerics;
using Enu = System.Linq.Enumerable;

class Program
{
    public void Solve()
    {
        int N = Reader.Int(), K = Reader.Int();
        var table = Reader.IntTable(K);
        int Q = Reader.Int();
        var A = Reader.IntTable(Q).Select(r => r.Select(c => c - 1).ToArray()).ToArray();
        var prevPos = Enu.Range(0, N).ToArray();

        foreach (var t in table)
            Swap(ref prevPos[t[0] - 1], ref prevPos[t[1] - 1]);
        var seen = new bool[N];
        var dist = new int[N, N];
        for (int a = 0; a < N; a++)
            for (int b = 0; b < N; b++)
                dist[a, b] = N + 1;
        for (int i = 0; i < N; i++)
            if (!seen[i])
                for (int x = i; !seen[x]; x = prevPos[x])
                {
                    seen[x] = true;
                    dist[x, prevPos[x]] = 1;
                }
        for (int c = 0; c < N; c++)
            for (int a = 0; a < N; a++)
                for (int b = 0; b < N; b++)
                    dist[a, b] = Math.Min(dist[a, b], dist[a, c] + dist[c, b]);
        foreach (var a in A)
            Console.WriteLine(Calc(N, a, dist));
    }

    private long Calc(int N, int[] who, int[,] dist)
    {
        long[] A = new long[N];
        long[] B = new long[N];
        long[] M = new long[N];
        for (int i = 0; i < N; i++)
        {
            if (dist[i, who[i]] > N) return -1;
            A[i] = 1;
            B[i] = dist[i, who[i]];
            M[i] = dist[i, i];
        }
        long x, m;
        if (LinearCongruence(A, B, M, out x, out m)) return (x == 0) ? m : x;
        return -1;
    }

    static void Swap<T>(ref T a, ref T b) { T t = a; a = b; b = t; }

    // A[i] * X % M[i] = B[i] % M[i]
    // X % m = x
    static bool LinearCongruence(long[] A, long[] B, long[] M, out long x, out long m)
    {
        x = 0;
        m = 1;
        for (int i = 0; i < A.Length; i++)
        {
            long a = A[i] * m;
            long b = B[i] - A[i] * x;
            long d = GCD(M[i], a);
            if (b % d != 0) return false;
            long t = b / d * ModInverse(a / d, M[i] / d) % (M[i] / d);
            x = x + m * t;
            m *= M[i] / d;
        }
        x = (x % m + m) % m;
        return true;
    }
    static long GCD(long a, long b)
    {
        while (b != 0) { long r = a % b; a = b; b = r; }
        return a;
    }
    static long ModInverse(long N, long mod)
    {
        long x = 0, y = 0;
        ExtGCD(N, mod, ref x, ref y);
        return (x % mod + mod) % mod;
    }
    static long ExtGCD(long a, long b, ref long x, ref long y)
    {
        if (b == 0) { x = 1; y = 0; return a; }
        long res = ExtGCD(b, a % b, ref y, ref x);
        y -= (a / b) * x;
        return res;
    }

    class UnionFind
    {
        private int[] parent;
        private int[] rank;
        private int[] numElements;

        public UnionFind(int N)
        {
            parent = new int[N];
            rank = new int[N];
            numElements = new int[N];
            for (int i = 0; i < N; i++)
            {
                parent[i] = i;
                numElements[i] = 1;
            }
        }
        public int Root(int x)
        {
            if (parent[x] == x) return x;
            return parent[x] = Root(parent[x]);
        }
        public bool Same(int x, int y)
        {
            return Root(x) == Root(y);
        }
        public int NumElements(int x)
        {
            return numElements[Root(x)];
        }
        public bool Unite(int x, int y)
        {
            x = Root(x); y = Root(y);
            if (x == y) return false;
            if (rank[x] > rank[y]) { var t = x; x = y; y = t; }
            if (rank[x] == rank[y]) rank[y]++;
            parent[x] = y;
            numElements[y] += numElements[x];
            return true;
        }
        public List<int>[] Components()
        {
            var dic = new Dictionary<int, List<int>>();
            for (int i = 0; i < parent.Length; i++)
            {
                int root = Root(i);
                if (!dic.ContainsKey(root)) dic[root] = new List<int>();
                dic[root].Add(i);
            }
            return dic.Values.ToArray();
        }
    }

}



class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    private static TextReader reader = Console.In;
    private static readonly char[] separator = { ' ' };
    private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    private static string[] A = new string[0];
    private static int i;
    private static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); }
    public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); }
    public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Next()).ToArray(); }
    public static string Line() { return reader.ReadLine().Trim(); }
    private static string[] Split(string s) { return s.Split(separator, op); }
    private static string Next() { CheckNext(); return A[i++]; }
    private static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}
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