#590906 (C#(csc)) No.1312 Snake Eyes

• 問題: No.1312 Snake Eyes
• ユーザー: EmKjp
• 提出日時: 2020-12-09 01:19:47
• 言語: C#(csc) (csc 3.9.0)
• 結果: WA
• 実行時間: -
• コード長: 7,858 bytes
• コンパイル時間: 1,966 ms
• コンパイル使用メモリ: 113,704 KB
• 実行使用メモリ: 25,908 KB
• 最終ジャッジ日時: 2024-09-18 22:47:02
• 合計ジャッジ時間: 7,318 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	27 ms; 17,792 KB
testcase_01	AC	27 ms; 17,920 KB
testcase_02	AC	28 ms; 17,920 KB
testcase_03	AC	23 ms; 17,408 KB
testcase_04	WA	-
testcase_05	AC	27 ms; 18,048 KB
testcase_06	AC	26 ms; 17,664 KB
testcase_07	AC	26 ms; 17,792 KB
testcase_08	AC	27 ms; 17,792 KB
testcase_09	AC	27 ms; 17,920 KB
testcase_10	AC	26 ms; 17,920 KB
testcase_11	AC	26 ms; 17,920 KB
testcase_12	AC	27 ms; 17,664 KB
testcase_13	AC	26 ms; 17,664 KB
testcase_14	AC	26 ms; 17,920 KB
testcase_15	AC	28 ms; 17,792 KB
testcase_16	AC	26 ms; 17,792 KB
testcase_17	AC	26 ms; 17,920 KB
testcase_18	AC	27 ms; 17,664 KB
testcase_19	AC	26 ms; 17,920 KB
testcase_20	AC	26 ms; 17,920 KB
testcase_21	AC	27 ms; 17,792 KB
testcase_22	AC	26 ms; 17,792 KB
testcase_23	AC	28 ms; 17,920 KB
testcase_24	AC	26 ms; 17,792 KB
testcase_25	AC	27 ms; 17,920 KB
testcase_26	AC	27 ms; 17,664 KB
testcase_27	AC	27 ms; 17,920 KB
testcase_28	AC	26 ms; 17,920 KB
testcase_29	AC	27 ms; 17,664 KB
testcase_30	AC	28 ms; 17,920 KB
testcase_31	AC	27 ms; 17,920 KB
testcase_32	AC	27 ms; 17,920 KB
testcase_33	AC	27 ms; 17,920 KB
testcase_34	AC	27 ms; 17,792 KB
testcase_35	AC	27 ms; 17,920 KB
testcase_36	AC	27 ms; 17,664 KB
testcase_37	AC	27 ms; 17,920 KB
testcase_38	AC	30 ms; 17,792 KB
testcase_39	AC	29 ms; 18,048 KB
testcase_40	AC	27 ms; 17,536 KB
testcase_41	AC	28 ms; 17,664 KB
testcase_42	AC	26 ms; 17,664 KB
testcase_43	AC	27 ms; 17,792 KB
testcase_44	AC	27 ms; 17,792 KB
testcase_45	AC	27 ms; 17,920 KB
testcase_46	AC	27 ms; 17,920 KB
testcase_47	AC	27 ms; 17,664 KB
testcase_48	AC	50 ms; 17,920 KB
testcase_49	AC	40 ms; 17,920 KB
testcase_50	AC	36 ms; 17,664 KB
testcase_51	AC	31 ms; 17,792 KB
testcase_52	AC	39 ms; 17,920 KB
testcase_53	AC	39 ms; 17,792 KB
testcase_54	AC	39 ms; 17,920 KB
testcase_55	AC	32 ms; 17,920 KB
testcase_56	AC	41 ms; 17,792 KB
testcase_57	AC	34 ms; 17,792 KB
testcase_58	AC	39 ms; 17,792 KB
testcase_59	AC	35 ms; 17,792 KB
testcase_60	AC	33 ms; 17,792 KB
testcase_61	AC	41 ms; 17,920 KB
testcase_62	AC	33 ms; 17,664 KB
testcase_63	AC	28 ms; 17,792 KB
testcase_64	AC	28 ms; 17,792 KB
testcase_65	AC	29 ms; 17,792 KB
testcase_66	AC	29 ms; 17,664 KB
testcase_67	AC	27 ms; 17,664 KB
testcase_68	AC	27 ms; 17,792 KB
testcase_69	AC	27 ms; 17,664 KB
testcase_70	AC	42 ms; 17,920 KB
testcase_71	AC	35 ms; 17,920 KB
testcase_72	AC	29 ms; 17,920 KB
testcase_73	AC	28 ms; 17,792 KB
testcase_74	AC	28 ms; 17,920 KB
testcase_75	AC	27 ms; 17,536 KB
testcase_76	AC	489 ms; 18,796 KB
testcase_77	AC	39 ms; 17,536 KB
testcase_78	AC	40 ms; 17,920 KB
testcase_79	AC	36 ms; 17,920 KB
testcase_80	AC	39 ms; 18,048 KB
testcase_81	AC	39 ms; 17,664 KB
testcase_82	AC	47 ms; 17,536 KB
testcase_83	AC	51 ms; 17,792 KB
testcase_84	AC	40 ms; 17,920 KB
testcase_85	AC	41 ms; 17,792 KB
testcase_86	AC	50 ms; 17,920 KB
testcase_87	AC	33 ms; 17,792 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.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;

internal partial class Solver {
    public void Run() {
        var n = nl();
        // y = (1 + p + p^2 + .. p^x)
        // n = k * y
        // x の範囲は小さい
        // x,y を固定すると p は二分探索で求められる
        long ans = n;

        if (n == 1) {
            ans = 2;
        } else {
            foreach (var d in Divisors(n)) {
                var k = d;
                var y = n / d;
                for (int x = 2; x < 60; x++) {
                    MoveUntil(0, n, p => {
                        long v = 0;
                        double d = 0.0;
                        for (int i = 0; i < x; i++) {
                            d *= p;
                            d += 1;
                            if (d > y) return false;
                            v *= p;
                            v += 1;
                            if (v > y) return false;
                        }
                        if (v <= y) {
                            if (y == v) {
                                if (k < p) {
                                    ans = Math.Min(ans, p);
                                }
                            }
                            return true;
                        } else {
                            return false;
                        }
                    });
                }
            }
        }
        cout.WriteLine(ans);
    }

    public static long MoveUntil(long ok, long ng, Predicate<long> predicate) {
        if (ok == ng) throw new Exception();
        while (Math.Abs(ok - ng) > 1) {
            var mid = (ok + ng) >> 1;
            if (predicate(mid)) {
                ok = mid;
            } else {
                ng = mid;
            }
        }
        return ok;
    }

    public static List<long> Divisors(long x) {
        var ret = new List<long>();
        for (long i = 1; i * i <= x; i++) {
            if (x % i == 0) {
                ret.Add(i);
                if (i != x / i) {
                    ret.Add(x / i);
                }
            }
        }
        ret.Sort();
        return ret;
    }
}


// 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;
        }
    }
}