結果

問題 No.2772 Appearing Even Times
ユーザー tobisatistobisatis
提出日時 2024-05-31 23:18:06
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 1,237 ms / 4,000 ms
コード長 4,761 bytes
コンパイル時間 7,306 ms
コンパイル使用メモリ 167,584 KB
実行使用メモリ 209,616 KB
最終ジャッジ日時 2024-05-31 23:18:35
合計ジャッジ時間 22,536 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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 47 ms
27,776 KB
testcase_01 AC 49 ms
27,776 KB
testcase_02 AC 49 ms
27,648 KB
testcase_03 AC 50 ms
27,520 KB
testcase_04 AC 49 ms
27,776 KB
testcase_05 AC 49 ms
28,032 KB
testcase_06 AC 48 ms
27,520 KB
testcase_07 AC 48 ms
27,008 KB
testcase_08 AC 1,009 ms
51,584 KB
testcase_09 AC 1,043 ms
51,200 KB
testcase_10 AC 52 ms
27,520 KB
testcase_11 AC 53 ms
27,776 KB
testcase_12 AC 1,237 ms
51,328 KB
testcase_13 AC 1,219 ms
51,072 KB
testcase_14 AC 1,185 ms
51,456 KB
testcase_15 AC 1,166 ms
51,328 KB
testcase_16 AC 1,231 ms
51,172 KB
testcase_17 AC 1,196 ms
51,456 KB
testcase_18 AC 1,179 ms
51,328 KB
testcase_19 AC 1,152 ms
51,328 KB
testcase_20 AC 1,133 ms
51,328 KB
testcase_21 AC 1,134 ms
209,616 KB
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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 (84 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;
    }

    public ModInt Power(long p)
    {
        if (p < 0) return (MultiplicativeIdentity / V).Power(-p);
        long res = 1;
        long k = V;
        while (p > 0)
        {
            if ((p & 1) > 0) res = res * k % Mod;
            k = k * k % Mod;
            p >>= 1;
        }
        return res;
    }

    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();

    public static int ToFlag(this int i)
    {
        if (i < 0 || 31 <= i) throw new IndexOutOfRangeException();
        return 1 << i;
    }
    public static bool OfFlag(this int value, int i) => (value & ToFlag(i)) > 0;
    public static int WithFlag(this int value, int i, bool f) => f ? (value | ToFlag(i)) : (value & ~ToFlag(i));
}

class AtCoder
{
    object? Solve()
    {
        var n = String();
        var l = n.Length;
        var b = 10.ToFlag();
        int u;
        var dp = new ModInt[b];
        {
            var n0 = n[0] - '0';
            for (var i = 1; i < n0; i++) dp[i.ToFlag()] += 1;
            u = n0.ToFlag();
        }
        for (var digit = 1; digit < l; digit++)
        {
            var ni = n[digit] - '0';
            var ep = new ModInt[b];
            for (var i = 0; i < b; i++)
            {
                var v = dp[i];
                for (var j = 0; j < 10; j++) ep[i.WithFlag(j, !i.OfFlag(j))] += v;
            }
            for (var i = 1; i < 10; i++) ep[i.ToFlag()] += 1;
            for (var i = 0; i < ni; i++) ep[i.ToFlag() ^ u] += 1;
            dp = ep;
            u = u.WithFlag(ni, !u.OfFlag(ni));
        }
        ModInt ans = dp[0];
        if (u == 0) ans += 1;
        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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