結果

問題 No.1312 Snake Eyes
ユーザー りあんりあん
提出日時 2020-12-08 13:03:31
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 35 ms / 2,000 ms
コード長 7,679 bytes
コンパイル時間 1,110 ms
コンパイル使用メモリ 116,864 KB
実行使用メモリ 18,816 KB
最終ジャッジ日時 2024-05-07 17:57:54
合計ジャッジ時間 5,003 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 22 ms
18,560 KB
testcase_01 AC 22 ms
18,816 KB
testcase_02 AC 22 ms
18,688 KB
testcase_03 AC 21 ms
18,688 KB
testcase_04 AC 22 ms
18,432 KB
testcase_05 AC 22 ms
18,560 KB
testcase_06 AC 21 ms
18,688 KB
testcase_07 AC 22 ms
18,560 KB
testcase_08 AC 21 ms
18,688 KB
testcase_09 AC 22 ms
18,560 KB
testcase_10 AC 21 ms
18,688 KB
testcase_11 AC 21 ms
18,688 KB
testcase_12 AC 23 ms
18,816 KB
testcase_13 AC 21 ms
18,432 KB
testcase_14 AC 21 ms
18,688 KB
testcase_15 AC 21 ms
18,688 KB
testcase_16 AC 21 ms
18,688 KB
testcase_17 AC 22 ms
18,560 KB
testcase_18 AC 22 ms
18,688 KB
testcase_19 AC 21 ms
18,816 KB
testcase_20 AC 22 ms
18,688 KB
testcase_21 AC 23 ms
18,432 KB
testcase_22 AC 22 ms
18,688 KB
testcase_23 AC 21 ms
18,688 KB
testcase_24 AC 23 ms
18,560 KB
testcase_25 AC 24 ms
18,688 KB
testcase_26 AC 22 ms
18,816 KB
testcase_27 AC 22 ms
18,688 KB
testcase_28 AC 21 ms
18,560 KB
testcase_29 AC 22 ms
18,432 KB
testcase_30 AC 22 ms
18,688 KB
testcase_31 AC 22 ms
18,560 KB
testcase_32 AC 22 ms
18,816 KB
testcase_33 AC 22 ms
18,688 KB
testcase_34 AC 23 ms
18,688 KB
testcase_35 AC 22 ms
18,432 KB
testcase_36 AC 22 ms
18,688 KB
testcase_37 AC 22 ms
18,560 KB
testcase_38 AC 21 ms
18,688 KB
testcase_39 AC 22 ms
18,688 KB
testcase_40 AC 22 ms
18,432 KB
testcase_41 AC 22 ms
18,432 KB
testcase_42 AC 22 ms
18,816 KB
testcase_43 AC 22 ms
18,688 KB
testcase_44 AC 22 ms
18,432 KB
testcase_45 AC 23 ms
18,688 KB
testcase_46 AC 21 ms
18,560 KB
testcase_47 AC 21 ms
18,688 KB
testcase_48 AC 32 ms
18,304 KB
testcase_49 AC 30 ms
18,432 KB
testcase_50 AC 28 ms
18,688 KB
testcase_51 AC 25 ms
18,816 KB
testcase_52 AC 33 ms
18,432 KB
testcase_53 AC 29 ms
18,688 KB
testcase_54 AC 30 ms
18,560 KB
testcase_55 AC 27 ms
18,560 KB
testcase_56 AC 27 ms
18,816 KB
testcase_57 AC 29 ms
18,304 KB
testcase_58 AC 30 ms
18,432 KB
testcase_59 AC 26 ms
18,432 KB
testcase_60 AC 28 ms
18,816 KB
testcase_61 AC 33 ms
18,560 KB
testcase_62 AC 26 ms
18,560 KB
testcase_63 AC 22 ms
18,688 KB
testcase_64 AC 23 ms
18,816 KB
testcase_65 AC 23 ms
18,560 KB
testcase_66 AC 21 ms
18,432 KB
testcase_67 AC 22 ms
18,688 KB
testcase_68 AC 21 ms
18,688 KB
testcase_69 AC 22 ms
18,688 KB
testcase_70 AC 30 ms
18,688 KB
testcase_71 AC 27 ms
18,432 KB
testcase_72 AC 23 ms
18,816 KB
testcase_73 AC 22 ms
18,688 KB
testcase_74 AC 21 ms
18,688 KB
testcase_75 AC 23 ms
18,560 KB
testcase_76 AC 35 ms
18,688 KB
testcase_77 AC 32 ms
18,560 KB
testcase_78 AC 32 ms
18,560 KB
testcase_79 AC 29 ms
18,688 KB
testcase_80 AC 31 ms
18,432 KB
testcase_81 AC 33 ms
18,688 KB
testcase_82 AC 32 ms
18,688 KB
testcase_83 AC 32 ms
18,688 KB
testcase_84 AC 31 ms
18,560 KB
testcase_85 AC 31 ms
18,688 KB
testcase_86 AC 30 ms
18,688 KB
testcase_87 AC 28 ms
18,560 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.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() {
        long n = sc.Long;
        Assert(1 <= n && n <= 1000000000000);
        var lim = new long[42];
        for (int i = 3; i < 42; i++)
        {
            long ok = i, ng = (long)Math.Pow(n, 1.0 / (i - 1)) + 2;
            while (ok + 1 < ng) {
                long m = (ok + ng) / 2;
                long sum = (pow(m, i) - 1) / (m - 1);
                if (sum <= n) {
                    ok = m;
                }
                else {
                    ng = m;
                }
            }
            lim[i] = ng;
        }
        long ans = n + 1;
        for (long i = 1; i * i <= n; i++)
        {
            if (n % i != 0) continue;
            long s = n / i;
            {
                // j = 2;
                if (i < s - 1) {
                    ans = Math.Min(ans, s - 1);
                }
            }
            for (int j = 3; (1L << j) - 1 <= s; j++)
            {
                long lower = i, upper = lim[j];
                while (lower + 1 < upper) {
                    long m = (lower + upper) / 2;
                    long sum = (pow(m, j) - 1) / (m - 1);
                    if (sum == s) {
                        ans = Math.Min(ans, m);
                        break;
                    }
                    if (sum < s) {
                        lower = m;
                    }
                    else {
                        upper = m;
                    }
                }
            }
        }
        Prt(ans);
    }
    long pow(long a, long b) {
        long res = 1;
        while (b > 0) {
            if ((b & 1) == 1) {
                res *= a;
            }
            b >>= 1;
            a *= a;
        }
        return res;
    }
}

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)
        => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1]));
    public static IEnumerable<P> adjacents(int i, int j, int h, int w)
        => adjacents(i, j).Where(p => inside(p.v1, p.v2, h, w));
    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]);
    }
}
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