結果

問題 No.1529 Constant Lcm
ユーザー KumaTachiRenKumaTachiRen
提出日時 2022-01-31 15:15:36
言語 C#
(.NET 8.0.404)
結果
TLE  
実行時間 -
コード長 4,796 bytes
コンパイル時間 14,443 ms
コンパイル使用メモリ 168,388 KB
実行使用メモリ 33,272 KB
最終ジャッジ日時 2024-06-11 08:49:23
合計ジャッジ時間 19,881 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 8 TLE * 1 -- * 15
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 (122 ms)。
MSBuild のバージョン 17.9.6+a4ecab324 (.NET)
/home/judge/data/code/Main.cs(94,10): warning CS0414: フィールド 'Solver.inf' が割り当てられていますが、値は使用されていません [/home/judge/data/code/main.csproj]
  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.Linq;
using System.Numerics;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Text;
using N = System.Int64;

static class Program
{
    static public void Main(string[] args)
    {
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        var solver = new Solver();
        solver.Solve();
        Console.Out.Flush();
    }
}

public class Solver
{
    public void Solve()
    {
        int n = ri;
        var p = new bool[n + 1];
        var l = new int[n + 1];
        for (int i = 2; i <= n; i++) p[i] = true;
        for (int i = 2; i <= n; i++)
        {
            if (!p[i]) continue;
            for (int j = i * 2; j <= n; j += i) p[j] = false;
        }
        for (N i = 1; i < n; i++)
        {
            N t = i * (n - i);
            for (int j = 2; j <= n; j++)
            {
                if (!p[j]) continue;
                int c = 0;
                while (t % j == 0)
                {
                    t /= j;
                    c++;
                }
                l[j] = Math.Max(l[j], c);
            }
        }
        ModInt ans = 1;
        for (int i = 2; i <= n; i++)
        {
            if (!p[i]) continue;
            ans *= ModInt.Pow(i, l[i]);
        }
        Write(ans);
    }
    struct ModInt
    {
        private const long _mod = 998244353;
        long Val;
        public ModInt(long v) { Val = v; }
        public override string ToString() { return Val.ToString(); }
        public static implicit operator ModInt(long n)
        {
            long r = n % _mod;
            return new ModInt(r < 0 ? r + _mod : r);
        }
        public static ModInt operator +(ModInt a, ModInt b)
        {
            long r = a.Val + b.Val;
            return new ModInt(r < _mod ? r : r - _mod);
        }
        public static ModInt operator -(ModInt a, ModInt b)
        {
            long r = a.Val - b.Val;
            return new ModInt(r < 0 ? r + _mod : r);
        }
        public static ModInt operator -(ModInt a) { return new ModInt(a.Val == 0 ? 0 : _mod - a.Val); }
        public static ModInt operator *(ModInt a, ModInt b) { return new ModInt(a.Val * b.Val % _mod); }
        public static ModInt operator /(ModInt a, ModInt b) { return a * b.Inv; }
        public static ModInt Pow(ModInt b, long n)
        {
            long t = b.Val, r = 1;
            while (n > 0)
            {
                if ((n & 1) == 1) r = r * t % _mod;
                t = t * t % _mod;
                n >>= 1;
            }
            return new ModInt(r);
        }
        public ModInt Inv { get { return Pow(Val, _mod - 2); } }
    }
    long inf = (long)1 << 60;
    int ri { get { return (int)sc.Integer(); } }
    long rl { get { return sc.Integer(); } }
    double rd { get { return sc.Double(); } }
    string rs { get { return sc.Scan(); } }
    public StreamScanner sc = new StreamScanner(Console.OpenStandardInput());

    void WriteJoin<T>(string s, T[] t) { Console.WriteLine(string.Join(s, t)); }
    void WriteJoin<T>(string s, List<T> t) { Console.WriteLine(string.Join(s, t)); }
    void Write<T>(T t) { Console.WriteLine(t.ToString()); }
    void YN(bool t) { Console.WriteLine(t ? "YES" : "NO"); }
    void Yn(bool t) { Console.WriteLine(t ? "Yes" : "No"); }
    void yn(bool t) { Console.WriteLine(t ? "yes" : "no"); }
}



public class StreamScanner
{
    public StreamScanner(Stream stream) { str = stream; }
    private readonly Stream str;
    private readonly byte[] buf = new byte[1024];
    private int len, ptr;
    public bool isEof = false;
    public bool IsEndOfStream { get { return isEof; } }
    private byte read()
    {
        if (isEof) throw new EndOfStreamException();
        if (ptr >= len)
        {
            ptr = 0;
            if ((len = str.Read(buf, 0, 1024)) <= 0)
            {
                isEof = true;
                return 0;
            }
        }
        return buf[ptr++];
    }
    public char Char()
    {
        byte b = 0;
        do b = read();
        while (b < 33 || 126 < b);
        return (char)b;
    }
    public string Scan()
    {
        var sb = new StringBuilder();
        for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
            sb.Append(b);
        return sb.ToString();
    }
    public long Integer()
    {
        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 * 10 + b - '0';
        }
    }
    public double Double() { return double.Parse(Scan()); }
}
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