結果

問題 No.2130 分配方法の数え上げ mod 998244353
ユーザー yupiteru_kunyupiteru_kun
提出日時 2022-11-25 22:54:14
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 87 ms / 2,000 ms
コード長 13,934 bytes
コンパイル時間 10,413 ms
コンパイル使用メモリ 167,308 KB
実行使用メモリ 189,424 KB
最終ジャッジ日時 2024-10-02 05:27:10
合計ジャッジ時間 13,399 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 45 ms
26,240 KB
testcase_01 AC 46 ms
26,496 KB
testcase_02 AC 46 ms
26,240 KB
testcase_03 AC 46 ms
26,368 KB
testcase_04 AC 46 ms
26,112 KB
testcase_05 AC 45 ms
26,240 KB
testcase_06 AC 46 ms
26,240 KB
testcase_07 AC 45 ms
26,492 KB
testcase_08 AC 45 ms
26,240 KB
testcase_09 AC 45 ms
26,112 KB
testcase_10 AC 46 ms
26,624 KB
testcase_11 AC 45 ms
26,496 KB
testcase_12 AC 45 ms
26,240 KB
testcase_13 AC 45 ms
26,496 KB
testcase_14 AC 46 ms
26,496 KB
testcase_15 AC 45 ms
26,496 KB
testcase_16 AC 46 ms
26,496 KB
testcase_17 AC 47 ms
26,468 KB
testcase_18 AC 51 ms
26,240 KB
testcase_19 AC 51 ms
26,624 KB
testcase_20 AC 46 ms
26,624 KB
testcase_21 AC 52 ms
26,368 KB
testcase_22 AC 45 ms
26,240 KB
testcase_23 AC 51 ms
26,624 KB
testcase_24 AC 45 ms
26,368 KB
testcase_25 AC 51 ms
26,496 KB
testcase_26 AC 44 ms
26,164 KB
testcase_27 AC 87 ms
26,980 KB
testcase_28 AC 45 ms
26,496 KB
testcase_29 AC 86 ms
27,136 KB
testcase_30 AC 46 ms
26,492 KB
testcase_31 AC 46 ms
26,624 KB
testcase_32 AC 45 ms
26,368 KB
testcase_33 AC 46 ms
26,368 KB
testcase_34 AC 46 ms
26,496 KB
testcase_35 AC 45 ms
26,468 KB
testcase_36 AC 45 ms
26,368 KB
testcase_37 AC 44 ms
189,424 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 (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 # 

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using static System.Math;
using System.Text;
using System.Threading;
using System.Globalization;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using Library;

namespace Program
{
    public static class ProblemA
    {
        static bool SAIKI = false;
        static public int numberOfRandomCases = 0;
        static public void MakeTestCase(List<string> _input, List<string> _output, ref Func<string[], bool> _outputChecker)
        {
        }
        static public void Solve()
        {
            var N = NN;
            var M = NN;
            var all = LIB_Mod998244353.Pow(2, N);
            LIB_Mod998244353 ret = 1;
            LIB_Mod998244353 deno = 1;
            var n = N;
            var k = M - 1;
            if (n < M) {
                Console.WriteLine(0);
                return;
            }
            for (var i = 0; i < k; i++)
            {
                ret *= n - i;
                deno *= i + 1;
                all -= ret / deno;
            }
            Console.WriteLine(all - 1);
        }
        class Printer : StreamWriter
        {
            public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
            public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; }
            public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; }
        }
        static LIB_FastIO fastio = new LIB_FastIODebug();
        static string[] args;
        static public void Main(string[] args_t) { args = args_t; if (args_t.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); }
        static long NN => fastio.Long();
        static double ND => fastio.Double();
        static string NS => fastio.Scan();
        static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray();
        static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray();
        static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray();
        static long Count<T>(this IEnumerable<T> x, Func<T, bool> pred) => Enumerable.Count(x, pred);
        static IEnumerable<T> Repeat<T>(T v, long n) => Enumerable.Repeat<T>(v, (int)n);
        static IEnumerable<int> Range(long s, long c) => Enumerable.Range((int)s, (int)c);
        static IOrderedEnumerable<T> OrderByRand<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x, _ => xorshift);
        static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x.OrderByRand(), e => e);
        static IOrderedEnumerable<T1> OrderBy<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderBy(x.OrderByRand(), selector);
        static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e);
        static IOrderedEnumerable<T1> OrderByDescending<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector);
        static IOrderedEnumerable<string> OrderBy(this IEnumerable<string> x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase);
        static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase);
        static IOrderedEnumerable<string> OrderByDescending(this IEnumerable<string> x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase);
        static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase);
        static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);
        static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } }
        static IEnumerator<uint> _xsi = _xsc();
        static IEnumerator<uint> _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } }
        static bool Chmax<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) < 0) { lhs = rhs; return true; } return false; }
        static bool Chmin<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) > 0) { lhs = rhs; return true; } return false; }
        static void Fill<T>(this T[] array, T value) => array.AsSpan().Fill(value);
        static void Fill<T>(this T[,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0], array.Length).Fill(value);
        static void Fill<T>(this T[,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0], array.Length).Fill(value);
        static void Fill<T>(this T[,,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0, 0], array.Length).Fill(value);
    }
}
namespace Library {
    partial struct LIB_Mod998244353 : IEquatable<LIB_Mod998244353>, IEquatable<long>
    {
        const int _mod = 998244353; long v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public LIB_Mod998244353(long x)
        {
            if (x < _mod && x >= 0) v = x;
            else if ((v = x % _mod) < 0) v += _mod;
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public implicit operator LIB_Mod998244353(long x) => new LIB_Mod998244353(x);
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public implicit operator long(LIB_Mod998244353 x) => x.v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public void Add(LIB_Mod998244353 x) { if ((v += x.v) >= _mod) v -= _mod; }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public void Sub(LIB_Mod998244353 x) { if ((v -= x.v) < 0) v += _mod; }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public void Mul(LIB_Mod998244353 x) => v = (v * x.v) % _mod;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public void Div(LIB_Mod998244353 x) => v = (v * Inverse(x.v)) % _mod;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 operator +(LIB_Mod998244353 x, LIB_Mod998244353 y) { var t = x.v + y.v; return t >= _mod ? new LIB_Mod998244353 { v = t - _mod } : new LIB_Mod998244353 { v = t }; }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 operator -(LIB_Mod998244353 x, LIB_Mod998244353 y) { var t = x.v - y.v; return t < 0 ? new LIB_Mod998244353 { v = t + _mod } : new LIB_Mod998244353 { v = t }; }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 operator *(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v * y.v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 operator /(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v * Inverse(y.v);
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public bool operator ==(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v == y.v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public bool operator !=(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v != y.v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public long Inverse(long x)
        {
            long b = _mod, r = 1, u = 0, t = 0;
            while (b > 0)
            {
                var q = x / b;
                t = u;
                u = r - q * u;
                r = t;
                t = b;
                b = x - q * b;
                x = t;
            }
            return r < 0 ? r + _mod : r;
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public bool Equals(LIB_Mod998244353 x) => v == x.v;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public bool Equals(long x) => v == x;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override bool Equals(object x) => x == null ? false : Equals((LIB_Mod998244353)x);
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override int GetHashCode() => v.GetHashCode();
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override string ToString() => v.ToString();
        static List<LIB_Mod998244353> _fact = new List<LIB_Mod998244353>() { 1, 1 };
        static List<LIB_Mod998244353> _inv = new List<LIB_Mod998244353>() { 0, 1 };
        static List<LIB_Mod998244353> _factinv = new List<LIB_Mod998244353>() { 1, 1 };
        static long _factm = _mod;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static void B(long n)
        {
            if (_factm != _mod)
            {
                _fact = new List<LIB_Mod998244353>() { 1, 1 };
                _inv = new List<LIB_Mod998244353>() { 0, 1 };
                _factinv = new List<LIB_Mod998244353>() { 1, 1 };
            }
            if (n >= _fact.Count)
            {
                for (int i = _fact.Count; i <= n; ++i)
                {
                    _fact.Add(_fact[i - 1] * i);
                    _inv.Add(_mod - _inv[(int)(_mod % i)] * (_mod / i));
                    _factinv.Add(_factinv[i - 1] * _inv[i]);
                }
            }
            _factm = _mod;
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 Comb(long n, long k)
        {
            B(n);
            if (n == 0 && k == 0) return 1;
            if (n < k || n < 0) return 0;
            return _fact[(int)n] * _factinv[(int)(n - k)] * _factinv[(int)k];
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 CombOK(long n, long k)
        {
            LIB_Mod998244353 ret = 1;
            LIB_Mod998244353 deno = 1;
            var chk = n - k;
            if (chk < k) k = chk;
            for (var i = 0; i < k; i++) ret *= n - i;
            for (var i = 1; i <= k; i++) deno *= i;
            return ret / deno;
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 Perm(long n, long k)
        {
            B(n);
            if (n == 0 && k == 0) return 1;
            if (n < k || n < 0) return 0;
            return _fact[(int)n] * _factinv[(int)(n - k)];
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 KanzenPerm(long n, long k) => Enumerable.Range(0, (int)k + 1).Aggregate((LIB_Mod998244353)0, (a, e) => a + (1 - ((e & 1) << 1)) * LIB_Mod998244353.Comb(k, e) * LIB_Mod998244353.Perm(n - e, k - e));
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        static public LIB_Mod998244353 Pow(LIB_Mod998244353 x, long y)
        {
            LIB_Mod998244353 a = 1;
            while (y != 0)
            {
                if ((y & 1) == 1) a.Mul(x);
                x.Mul(x);
                y >>= 1;
            }
            return a;
        }
    }
    class LIB_FastIO
    {
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public LIB_FastIO() { str = Console.OpenStandardInput(); }
        readonly Stream str;
        readonly byte[] buf = new byte[2048];
        int len, ptr;
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        byte read()
        {
            if (ptr >= len)
            {
                ptr = 0;
                if ((len = str.Read(buf, 0, 2048)) <= 0)
                {
                    return 0;
                }
            }
            return buf[ptr++];
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        char Char()
        {
            byte b = 0;
            do b = read();
            while (b < 33 || 126 < b);
            return (char)b;
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        virtual public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        virtual public long Long()
        {
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != '-' && (b < '0' || '9' < b));
            if (b == '-') { ng = true; b = read(); }
            for (; true; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                else ret = (ret << 3) + (ret << 1) + b - '0';
            }
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
    }
    class LIB_FastIODebug : LIB_FastIO
    {
        Queue<string> param = new Queue<string>();
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public LIB_FastIODebug() { }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override string Scan() => NextString();
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override long Long() => long.Parse(NextString());
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public override double Double() => double.Parse(NextString());
    }
}
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