#94573 (C#(csc)) No.181 A↑↑N mod M

• 問題: No.181 A↑↑N mod M
• ユーザー: 紙ぺーぱー
• 提出日時: 2016-05-29 21:52:57
• 言語: C#(csc) (csc 3.9.0)
• 結果: AC
• 実行時間: 25 ms / 5,000 ms
• コード長: 6,845 bytes
• コンパイル時間: 1,064 ms
• コンパイル使用メモリ: 119,756 KB
• 実行使用メモリ: 26,000 KB
• 最終ジャッジ日時: 2024-05-03 05:52:30
• 合計ジャッジ時間: 3,301 ms
• ジャッジサーバーID （参考情報）: judge2 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	22 ms; 25,476 KB
testcase_01	AC	22 ms; 23,788 KB
testcase_02	AC	23 ms; 23,796 KB
testcase_03	AC	22 ms; 26,000 KB
testcase_04	AC	23 ms; 25,880 KB
testcase_05	AC	25 ms; 25,612 KB
testcase_06	AC	22 ms; 25,996 KB
testcase_07	AC	21 ms; 23,412 KB
testcase_08	AC	22 ms; 23,420 KB
testcase_09	AC	21 ms; 23,672 KB
testcase_10	AC	21 ms; 25,876 KB
testcase_11	AC	21 ms; 25,636 KB
testcase_12	AC	21 ms; 23,672 KB
testcase_13	AC	21 ms; 23,700 KB
testcase_14	AC	21 ms; 25,580 KB
testcase_15	AC	22 ms; 25,620 KB
testcase_16	AC	21 ms; 23,468 KB
testcase_17	AC	21 ms; 23,548 KB
testcase_18	AC	21 ms; 25,308 KB
testcase_19	AC	25 ms; 23,544 KB
testcase_20	AC	24 ms; 23,540 KB
testcase_21	AC	24 ms; 25,824 KB
testcase_22	AC	20 ms; 21,560 KB
testcase_23	AC	21 ms; 21,684 KB
testcase_24	AC	22 ms; 23,792 KB
testcase_25	AC	22 ms; 23,672 KB
testcase_26	AC	25 ms; 23,540 KB
testcase_27	AC	23 ms; 23,804 KB
testcase_28	AC	24 ms; 25,648 KB
testcase_29	AC	23 ms; 23,596 KB
testcase_30	AC	23 ms; 23,708 KB
testcase_31	AC	25 ms; 25,864 KB
testcase_32	AC	24 ms; 23,920 KB
testcase_33	AC	23 ms; 23,600 KB
testcase_34	AC	23 ms; 23,540 KB
testcase_35	AC	23 ms; 25,588 KB
testcase_36	AC	21 ms; 25,880 KB
testcase_37	AC	22 ms; 23,924 KB
testcase_38	AC	21 ms; 25,712 KB
testcase_39	AC	21 ms; 23,600 KB
testcase_40	AC	21 ms; 23,672 KB
testcase_41	AC	21 ms; 23,600 KB
testcase_42	AC	21 ms; 23,600 KB

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

using System;
using System.Linq;
using System.Linq.Expressions;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using Number = System.Int32;
namespace Program
{
    public class Solver
    {
        public void Solve()
        {
            var a = sc.Integer();
            var n = sc.Integer();
            var m = sc.Integer();
            
            if (m == 1)
            {
                IO.Printer.Out.WriteLine(0);
                return;
            }
            if (a == 1)
            {
                IO.Printer.Out.WriteLine(1);
                return;
            }
            PreF.Add(1);
            for (int i = 1; true; i++)
            {
                var next = 1L;
                for (int j = 0; j < PreF[i - 1]; j++)
                {
                    next *= a;
                    if (next >= 100000) break;
                }
                if (next < 100000)
                    PreF.Add(next);
                else break;
            }
            S = Enumerate(2048, x => -1);
            T = Enumerate(2048, x => -1);
            IO.Printer.Out.WriteLine(F(a, n, m));
        }
        int[] S, T;
        List<long> PreF = new List<long>();
        public long F(int a, int b, int m)
        {
            if (m == 1) return 0;
            if (b == 0) return 1;

            if (S[m] == -1)
            {
                var p = C(a, m);
                S[m] = p.Key;
                T[m] = p.Value;
            }
            if (b <= PreF.Count && PreF[b - 1] <= 100000)
            {
                var ret = ModPow(a, PreF[b - 1], m);
                return ret;
            }
            else
            {
                var res = F(a, b - 1, T[m]);
                return ModPow(a, S[m] + (res - S[m] + 1000 * T[m]) % T[m], m);
            }

        }
        public KeyValuePair<int, int> C(int a, int mod)
        {
            a %= mod;
            var used = new int[mod];
            for (int i = 0; i < mod; i++)
                used[i] = -1;
            var cur = 1;
            used[cur] = 0;
            while (true)
            {
                var next = (cur * a) % mod;
                if (used[next] == -1)
                    used[next] = used[cur] + 1;
                else
                    return new KeyValuePair<int, int>(used[next], used[cur] + 1 - used[next]);
                cur = next;
            }
        }

        static public long ModPow(long x, long n, long mod)
        {
            long r = 1;
            while (n > 0)
            {
                if ((n & 1) == 1)
                    r = r * x % mod;
                x = x * x % mod;
                n >>= 1;
            }
            return r;
        }
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}
#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer : StreamWriter
    {
        static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
        public static Printer Out { get; set; }
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
        public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
        public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
    }
    public class StreamScanner
    {
        public StreamScanner(Stream stream) { str = stream; }
        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;
        public bool IsEndOfStream { get { return isEof; } }
        private byte read()
        {
            if (isEof) return 0;
            if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
            return buf[ptr++];
        }
        public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }

        public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != 0 && b != '-' && (b < '0' || '9' < b));
            if (b == 0) return long.MinValue;
            if (b == '-') { ng = true; b = read(); }
            for (; true; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                else ret = ret * 10 + b - '0';
            }
        }
        public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; }
        private T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n) { return enumerate(n, Char); }
        public string[] Scan(int n) { return enumerate(n, Scan); }
        public double[] Double(int n) { return enumerate(n, Double); }
        public int[] Integer(int n) { return enumerate(n, Integer); }
        public long[] Long(int n) { return enumerate(n, Long); }
    }
}
#endregion