結果

問題 No.3054 ほぼ直角二等辺三角形
ユーザー KumaTachiRenKumaTachiRen
提出日時 2022-10-18 12:26:24
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 46 ms / 2,000 ms
コード長 7,748 bytes
コンパイル時間 9,610 ms
コンパイル使用メモリ 169,368 KB
実行使用メモリ 190,740 KB
最終ジャッジ日時 2024-06-28 21:08:53
合計ジャッジ時間 10,358 ms
ジャッジサーバーID
(参考情報)
judge4 / judge5
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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 43 ms
29,184 KB
testcase_01 AC 43 ms
28,928 KB
testcase_02 AC 43 ms
28,984 KB
testcase_03 AC 45 ms
29,056 KB
testcase_04 AC 44 ms
29,056 KB
testcase_05 AC 42 ms
29,056 KB
testcase_06 AC 44 ms
29,184 KB
testcase_07 AC 42 ms
29,184 KB
testcase_08 AC 45 ms
29,184 KB
testcase_09 AC 46 ms
28,928 KB
testcase_10 AC 44 ms
29,288 KB
testcase_11 AC 45 ms
29,056 KB
testcase_12 AC 41 ms
29,056 KB
testcase_13 AC 41 ms
29,056 KB
testcase_14 AC 41 ms
29,312 KB
testcase_15 AC 43 ms
29,184 KB
testcase_16 AC 41 ms
29,184 KB
testcase_17 AC 41 ms
190,740 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 (92 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.Diagnostics;
using System;
using System.Linq;
using System.Numerics;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Text;
using static Functions;

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 x = ri;
        BigInteger dl = 1;
        for (int i = 0; i < x - 1; i++) dl *= 10;
        BigInteger dr = dl * 10;
        {
            var t = new QuadraticField(3, 2);
            var p = new QuadraticField(1, 1) * t;
            var q = new QuadraticField(1, 0) * t;
            while (true)
            {
                var n = p.b;
                var m = q.b;
                var a = 2 * n * m;
                var b = n * n - m * m;
                var c = n * n + m * m;
                if (dl <= c && c < dr)
                {
                    Write($"{a} {b} {c}");
                    return;
                }
                if (c >= dr) break;
                p *= t;
                q *= t;
            }
        }
        {
            var t = new QuadraticField(3, 2);
            var p = new QuadraticField(3, 2);
            var q = new QuadraticField(1, 1);
            while (true)
            {
                var n = p.b;
                var m = q.b;
                var a = n * n - m * m;
                var b = 2 * n * m;
                var c = n * n + m * m;
                if (dl <= c && c < dr)
                {
                    Write($"{a} {b} {c}");
                    return;
                }
                if (c >= dr) break;
                p *= t;
                q *= t;
            }
        }
    }

    struct QuadraticField
    {
        const int d = 2;
        public BigInteger a, b;
        public QuadraticField(BigInteger _a, BigInteger _b)
        {
            a = _a;
            b = _b;
        }
        public static QuadraticField operator +(QuadraticField x, QuadraticField y) => new QuadraticField(x.a + y.a, x.b + y.b);
        public static QuadraticField operator -(QuadraticField x, QuadraticField y) => new QuadraticField(x.a - y.a, x.b - y.b);
        public static QuadraticField operator *(QuadraticField x, QuadraticField y) => new QuadraticField(x.a * y.a + 2 * x.b * y.b, x.a * y.b + x.b * y.a);
    }



    const 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(); } }
    string rline { get { return sc.Line(); } }
    public StreamScanner sc = new StreamScanner(Console.OpenStandardInput());

    T[] RepArray<T>(T t, int count) => Enumerable.Repeat(t, count).ToArray();
    void WriteJoin<T>(string s, IEnumerable<T> t) { Console.WriteLine(string.Join(s, t)); }
    void WriteMax(params long[] x) => Console.Write(x.Max());
    void WriteMin(params long[] x) => Console.Write(x.Min());
    void Write<T>(T t) { Console.WriteLine(t.ToString()); }
    void WriteFlush<T>(T t) { Console.WriteLine(t.ToString()); Console.Out.Flush(); }
    void WriteError<T>(T t) { Console.Error.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 static class Functions
{
    public static int Popcount(long x)
    {
        x = x - ((x >> 1) & 0x5555555555555555);
        x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
        x = (x + (x >> 4)) & 0x0f0f0f0f0f0f0f0f;
        x = x + (x >> 8);
        x = x + (x >> 16);
        x = x + (x >> 32);
        return (int)(x & 0x0000007f);
    }
    public static int Ctz(long x)
    {
        if (x == 0) return -1;
        return Popcount((x & -x) - 1);
    }
    public static int SafeMod(int x, int m)
    {
        int r = x % m;
        return r < 0 ? r + m : r;
    }
    public static long SafeMod(long x, long m)
    {
        long r = x % m;
        return r < 0 ? r + m : r;
    }
    public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;
    public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;
    public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);
    public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
    public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }
    public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }
    public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }
    public static T Clamp<T>(T x, T l, T r) where T : IComparable<T> => x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
    public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x = y; }
    public static void Chmax<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) < 0) x = y; }
    public static int LowerBound<T, S>(in T[] list, S val, Func<T, S, int> comp)
    {
        if (list.Length == 0) return -1;
        int l = 0, r = list.Length;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) < 0) l = x + 1;
            else r = x;
        }
        return l;
    }
    public static int LowerBound<T, S>(in List<T> list, S val, Func<T, S, int> comp)
    {
        if (list.Count == 0) return -1;
        int l = 0, r = list.Count;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) < 0) l = x + 1;
            else r = x;
        }
        return l;
    }
    public static int UpperBound<T, S>(in List<T> list, S val, Func<T, S, int> comp)
    {
        if (list.Count == 0) return 0;
        if (comp(list.Last(), val) < 0) return list.Count;
        int l = 0, r = list.Count;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(list[x], val) <= 0) l = x + 1;
            else r = x;
        }
        return l;
    }
}

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 Line()
    {
        var sb = new StringBuilder();
        for (var b = Char(); b != 10 && !isEof; b = (char)read()) sb.Append(b);
        return sb.ToString();
    }
    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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