結果

問題 No.8030 ミラー・ラビン素数判定法のテスト
ユーザー iwkjosec
提出日時 2022-06-23 15:00:58
言語 C#(csc)
(csc 3.9.0)
結果
WA  
実行時間 -
コード長 5,640 bytes
コンパイル時間 2,793 ms
コンパイル使用メモリ 108,800 KB
実行使用メモリ 18,944 KB
最終ジャッジ日時 2024-11-07 06:16:29
合計ジャッジ時間 4,929 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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ファイルパターン 結果
other AC * 9 WA * 1
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 static System.Console;
using static System.Math;

class Program
{
    static void Main()
    {
        SetOut(new System.IO.StreamWriter(OpenStandardOutput()) { AutoFlush = false });
        var n = FastIO.Long();
        for (int i = 0; i < n; i++)
        {
            var x = (ulong)FastIO.Long();
            WriteLine(x.ToString() + " " + (MillerRabin(x) ? "1" : "0"));
        }
        Out.Flush();
    }

    public static uint[] b64 = new uint[] { 2, 325, 9375, 28178, 450775, 9780504, 1795265022 };

    public static bool MillerRabin(ulong n)
    {
        if (n == 2 || n == 3 || n == 5 || n == 7) return true;
        if ((n & 1) == 0 || n % 3 == 0 || n % 5 == 0 || n % 7 == 0) return false;
        if (n < 121) return n > 1;

        var d = n - 1;
        var s = TrailingZeroCount(d);
        d >>= s;

        foreach (var a in b64)
        {
            //if (a >= n) continue;

            var x = ModPow(a, d, n);
            if (x == 1) continue;
            for (int r = 0; r < s; r++)
            {
                if (x == n - 1) goto b;
                x = ModMul(x, x, n);
            }
            return false;
            b:;
        }
        return true;
    }

    static ulong BigMul(ulong a, ulong b, out ulong low)
    {
        uint al = (uint)a;
        uint ah = (uint)(a >> 32);
        uint bl = (uint)b;
        uint bh = (uint)(b >> 32);

        ulong mull = ((ulong)al) * bl;
        ulong t = ((ulong)ah) * bl + (mull >> 32);
        ulong tl = ((ulong)al) * bh + (uint)t;

        low = tl << 32 | (uint)mull;

        return ((ulong)ah) * bh + (t >> 32) + (tl >> 32);
    }

    static ulong ModPow(ulong x, ulong n, ulong m)
    {
        var res = 1ul;
        while (n != 0)
        {
            if ((n & 1) == 1) res = ModMul(res, x, m);
            x = ModMul(x, x, m);
            n >>= 1;
        }
        return res;
    }

    static ulong ModMul(ulong l, ulong r, ulong mod)
    {
        unchecked
        {
            if (mod <= uint.MaxValue) return l % mod * (r % mod) % mod;
            var high = BigMul(l, r, out var low) % mod;
            if (high == 0ul) return low % mod;

            var lzc = 0;
            if (0 <= (long)mod)
            {
                lzc = LeadingZeroCount(mod);
                mod <<= lzc;
                high = (high << lzc) | (low >> (64 - lzc));
                low <<= lzc;
            }

            var mh = mod >> 32;
            var ml = (ulong)(uint)mod;

            var q = high / mh;
            var p = q * ml;
            high -= q * mh;
            high = (high << 32) | (low >> 32);
            if (high < p)
            {
                high += mod;
                if (high >= mod && high < p)
                {
                    high += mod;
                }
            }
            high -= p;

            q = high / mh;
            p = q * ml;
            high -= q * mh;
            high = (high << 32) | (uint)low;
            if (high < p)
            {
                high += mod;
                if (high >= mod && high < p)
                {
                    high += mod;
                }
            }
            return (high - p) >> lzc;
        }
    }

    public static int LeadingZeroCount(uint value)
    {
        if (value == 0)
        {
            return 32;
        }

        return 31 ^ Log2SoftwareFallback(value);
    }

    public static int LeadingZeroCount(ulong value)
    {
        uint hi = (uint)(value >> 32);

        if (hi == 0)
        {
            return 32 + LeadingZeroCount((uint)value);
        }

        return LeadingZeroCount(hi);
    }

    private static int Log2SoftwareFallback(uint value)
    {
        value |= value >> 01;
        value |= value >> 02;
        value |= value >> 04;
        value |= value >> 08;
        value |= value >> 16;

        return Log2DeBruijn[(int)((value * 0x07C4ACDDu) >> 27)];
    }

    public static int TrailingZeroCount(uint value)
    {
        if (value == 0)
        {
            return 32;
        }

        return TrailingZeroCountDeBruijn[(int)(((value & (uint)-(int)value) * 0x077CB531u) >> 27)];
    }

    public static int TrailingZeroCount(ulong value)
    {
        uint lo = (uint)value;

        if (lo == 0)
        {
            return 32 + TrailingZeroCount((uint)(value >> 32));
        }

        return TrailingZeroCount(lo);
    }
    private static ReadOnlySpan<byte> Log2DeBruijn => new byte[32] { 00, 09, 01, 10, 13, 21, 02, 29, 11, 14, 16, 18, 22, 25, 03, 30, 08, 12, 20, 28, 15, 17, 24, 07, 19, 27, 23, 06, 26, 05, 04, 31 };
    private static ReadOnlySpan<byte> TrailingZeroCountDeBruijn => new byte[32] { 00, 01, 28, 02, 29, 14, 24, 03, 30, 22, 20, 15, 25, 17, 04, 08, 31, 27, 13, 23, 21, 19, 16, 07, 26, 12, 18, 06, 11, 05, 10, 09 };
}

public static class FastIO
{
    static System.IO.Stream str = System.Console.OpenStandardInput();
    const int size = 1024;
    static byte[] buffer = new byte[size];
    static int ptr = size;

    static byte Read()
    {
        if (ptr == size)
        {
            str.Read(buffer, 0, size);
            ptr = 0;
        }
        return buffer[ptr++];
    }

    public static long Long()
    {
        var c = Read();
        while (c < 0x21)
        {
            c = Read();
        }
        var n = false;
        if (c == '-')
        {
            n = true;
            c = Read();
        }
        var ret = 0L;
        while (c > 0x20)
        {
            ret = ret * 10 + c - '0';
            c = Read();
        }
        return n ? -ret : ret;
    }
}
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