結果

問題 No.2963 Mecha DESU
ユーザー tobisatistobisatis
提出日時 2024-11-16 15:46:42
言語 C#
(.NET 8.0.203)
結果
TLE  
実行時間 -
コード長 4,116 bytes
コンパイル時間 9,054 ms
コンパイル使用メモリ 167,448 KB
実行使用メモリ 71,388 KB
最終ジャッジ日時 2024-11-16 15:47:38
合計ジャッジ時間 35,472 ms
ジャッジサーバーID
（参考情報） 		judge3 / 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 58 ms
33,536 KB
testcase_01 AC 59 ms
35,456 KB
testcase_02 AC 58 ms
70,908 KB
testcase_03 AC 60 ms
33,664 KB
testcase_04 AC 58 ms
35,968 KB
testcase_05 AC 59 ms
30,464 KB
testcase_06 AC 58 ms
30,336 KB
testcase_07 AC 59 ms
30,464 KB
testcase_08 AC 59 ms
29,812 KB
testcase_09 AC 59 ms
30,464 KB
testcase_10 AC 59 ms
30,044 KB
testcase_11 AC 58 ms
30,464 KB
testcase_12 AC 57 ms
30,464 KB
testcase_13 AC 689 ms
45,692 KB
testcase_14 AC 671 ms
45,820 KB
testcase_15 AC 655 ms
45,952 KB
testcase_16 AC 642 ms
45,948 KB
testcase_17 AC 668 ms
46,336 KB
testcase_18 AC 653 ms
46,080 KB
testcase_19 AC 637 ms
45,952 KB
testcase_20 AC 432 ms
41,472 KB
testcase_21 AC 133 ms
42,368 KB
testcase_22 AC 109 ms
33,920 KB
testcase_23 AC 87 ms
40,188 KB
testcase_24 AC 414 ms
38,764 KB
testcase_25 AC 469 ms
44,032 KB
testcase_26 AC 596 ms
40,448 KB
testcase_27 AC 309 ms
35,328 KB
testcase_28 AC 572 ms
45,312 KB
testcase_29 AC 441 ms
43,392 KB
testcase_30 AC 73 ms
32,640 KB
testcase_31 AC 226 ms
39,808 KB
testcase_32 AC 139 ms
32,636 KB
testcase_33 AC 471 ms
43,520 KB
testcase_34 AC 412 ms
44,672 KB
testcase_35 AC 185 ms
35,072 KB
testcase_36 AC 409 ms
39,552 KB
testcase_37 AC 114 ms
41,084 KB
testcase_38 AC 211 ms
33,536 KB
testcase_39 AC 443 ms
39,936 KB
testcase_40 AC 341 ms
34,808 KB
testcase_41 AC 543 ms
40,960 KB
testcase_42 AC 436 ms
42,348 KB
testcase_43 AC 628 ms
45,016 KB
testcase_44 AC 576 ms
42,368 KB
testcase_45 AC 566 ms
39,296 KB
testcase_46 AC 286 ms
38,108 KB
testcase_47 AC 393 ms
34,944 KB
testcase_48 AC 202 ms
36,604 KB
testcase_49 AC 125 ms
34,152 KB
testcase_50 AC 700 ms
44,652 KB
testcase_51 AC 688 ms
44,928 KB
testcase_52 AC 650 ms
44,652 KB
testcase_53 TLE -
testcase_54 TLE -
testcase_55 AC 69 ms
30,076 KB
testcase_56 AC 57 ms
30,336 KB
testcase_57 AC 77 ms
33,792 KB
testcase_58 AC 80 ms
41,980 KB
testcase_59 AC 56 ms
71,388 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
  復元対象のプロジェクトを決定しています...
  /home/judge/data/code/main.csproj を復元しました (95 ms)。
MSBuild のバージョン 17.9.6+a4ecab324 (.NET)
  main -> /home/judge/data/code/bin/Release/net8.0/main.dll
  main -> /home/judge/data/code/bin/Release/net8.0/publish/

ソースコード

diff # 

namespace AtCoder;

#nullable enable

using System.Numerics;

readonly record struct ModInt :
    IEqualityOperators<ModInt, ModInt, bool>,
    IAdditiveIdentity<ModInt, ModInt>,
    IAdditionOperators<ModInt, ModInt, ModInt>,
    IUnaryNegationOperators<ModInt, ModInt>,
    ISubtractionOperators<ModInt, ModInt, ModInt>,
    IMultiplicativeIdentity<ModInt, ModInt>,
    IMultiplyOperators<ModInt, ModInt, ModInt>,
    IDivisionOperators<ModInt, ModInt, ModInt>
{
    int V { get; init; }
    public const int Mod = 998244353;
    public ModInt(long value)
    {
        var v = value % Mod;
        if (v < 0) v += Mod;
        V = (int)v;
    }
    ModInt(int value) { V = value; }

    public static implicit operator ModInt(long v) => new(v);
    public static implicit operator int(ModInt modInt) => modInt.V;
    public static ModInt operator +(ModInt a, ModInt b)
    {
        var v = a.V + b.V;
        if (v >= Mod) v -= Mod;
        return new(v);
    }
    public static ModInt operator -(ModInt a) => new(a.V == 0 ? 0 : Mod - a.V);
    public static ModInt operator -(ModInt a, ModInt b)
    {
        var v = a.V - b.V;
        if (v < 0) v += Mod;
        return new(v);
    }
    public static ModInt operator *(ModInt a, ModInt b) => new((int)((long)a.V * b.V % Mod));
    public static ModInt operator /(ModInt a, ModInt b)
    {
        if (b == 0) throw new DivideByZeroException();
        var (d, x, _) = ExtendedGcd(b.V, Mod);
        if (d > 1) throw new DivideByZeroException();
        return x * a.V;
    }

    static long Power(long v, ulong p, long mod)
    {
        var (res, k) = (1L, v);
        while (p > 0)
        {
            if ((p & 1) > 0) res = res * k % mod;
            k = k * k % mod;
            p >>= 1;
        }
        return res;
    }
    public ModInt Power(long p) => p < 0 ? (MultiplicativeIdentity / V).Power(-p) : Power(V, (ulong)p, Mod);

    static (long d, long x, long y) ExtendedGcd(long a, long b)
    {
        if (b == 0) return (a, 1, 0);
        var (d, x, y) = ExtendedGcd(b, a % b);
        return (d, y, x - a / b * y);
    }

    public static ModInt AdditiveIdentity => new(0);
    public static ModInt MultiplicativeIdentity => new(1);

    public override string ToString() => V.ToString();
}

static class Extensions
{
    public static T[] Repeat<T>(this int time, Func<T> F) => Enumerable.Range(0, time).Select(_ => F()).ToArray();
}

class AtCoder
{
    object? Solve()
    {
        var n = Int();
        var m = Int();
        var k = Int();
        var az = m.Repeat(Int);

        var hz = new int[n + 1];
        foreach (var a in az)
        {
            for (var i = a; i <= n; i += a)
            {
                hz[i]++;
            }
        }
        ModInt ans = 0;
        var invM = (ModInt)1 / m;
        for (var i = 1; i <= n; i++)
        {
            var h = invM * hz[i];
            var q = 1 - h;
            ans += 1 - q.Power(k);
        }
        return ans;
    }

    public static void Main() => new AtCoder().Run();
    public void Run()
    {
        var res = Solve();
        if (res != null)
        {
            if (res is bool yes) res = yes ? "Yes" : "No";
            sw.WriteLine(res);
        }
        sw.Flush();
    }

    string[] input = Array.Empty<string>();
    int iter = 0;
    readonly StreamWriter sw = new(Console.OpenStandardOutput()) { AutoFlush = false };

    string String()
    {
        while (iter >= input.Length) (input, iter) = (Console.ReadLine()!.Split(' '), 0);
        return input[iter++];
    }
    T Input<T>() where T : IParsable<T> => T.Parse(String(), null);
    int Int() => Input<int>();
    void Out(object? x, string? separator = null)
    {
        separator ??= Environment.NewLine;
        if (x is System.Collections.IEnumerable obj and not string)
        {
            var firstLine = true;
            foreach (var item in obj)
            {
                if (!firstLine) sw.Write(separator);
                firstLine = false;
                sw.Write(item);
            }
        }
        else sw.Write(x);
        sw.WriteLine();
    }
}
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