#137727 (C#(csc)) No.461 三角形はいくつ？

• 問題: No.461 三角形はいくつ？
• ユーザー: 紙ぺーぱー
• 提出日時: 2016-12-12 01:00:19
• 言語: C#(csc) (csc 3.9.0)
• 結果: AC
• 実行時間: 1,667 ms / 5,000 ms
• コード長: 9,521 bytes
• コンパイル時間: 1,322 ms
• コンパイル使用メモリ: 121,180 KB
• 実行使用メモリ: 18,108 KB
• 最終ジャッジ日時: 2024-05-06 19:10:27
• 合計ジャッジ時間: 33,644 ms
• ジャッジサーバーID （参考情報）: judge2 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	21 ms; 17,792 KB
testcase_01	AC	23 ms; 17,792 KB
testcase_02	AC	21 ms; 17,920 KB
testcase_03	AC	21 ms; 17,920 KB
testcase_04	AC	25 ms; 17,920 KB
testcase_05	AC	1,056 ms; 17,980 KB
testcase_06	AC	632 ms; 17,920 KB
testcase_07	AC	733 ms; 18,048 KB
testcase_08	AC	483 ms; 18,048 KB
testcase_09	AC	26 ms; 17,792 KB
testcase_10	AC	167 ms; 17,664 KB
testcase_11	AC	854 ms; 17,860 KB
testcase_12	AC	387 ms; 17,536 KB
testcase_13	AC	1,268 ms; 17,852 KB
testcase_14	AC	1,308 ms; 17,852 KB
testcase_15	AC	1,257 ms; 17,968 KB
testcase_16	AC	675 ms; 17,848 KB
testcase_17	AC	669 ms; 17,856 KB
testcase_18	AC	1,667 ms; 17,852 KB
testcase_19	AC	1,598 ms; 17,976 KB
testcase_20	AC	1,244 ms; 17,980 KB
testcase_21	AC	1,300 ms; 17,848 KB
testcase_22	AC	1,329 ms; 17,980 KB
testcase_23	AC	581 ms; 17,976 KB
testcase_24	AC	545 ms; 17,856 KB
testcase_25	AC	27 ms; 17,980 KB
testcase_26	AC	27 ms; 17,780 KB
testcase_27	AC	1,539 ms; 17,792 KB
testcase_28	AC	27 ms; 17,908 KB
testcase_29	AC	351 ms; 17,784 KB
testcase_30	AC	179 ms; 17,784 KB
testcase_31	AC	677 ms; 17,920 KB
testcase_32	AC	890 ms; 17,920 KB
testcase_33	AC	24 ms; 17,772 KB
testcase_34	AC	24 ms; 17,632 KB
testcase_35	AC	24 ms; 17,636 KB
testcase_36	AC	669 ms; 17,844 KB
testcase_37	AC	701 ms; 17,852 KB
testcase_38	AC	691 ms; 18,108 KB
testcase_39	AC	706 ms; 17,988 KB
testcase_40	AC	710 ms; 17,980 KB
testcase_41	AC	688 ms; 17,968 KB
testcase_42	AC	1,058 ms; 17,736 KB
testcase_43	AC	1,079 ms; 17,976 KB
testcase_44	AC	1,099 ms; 17,988 KB

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

using System;
using System.Linq;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using Number = System.Int64;
using C = System.Int32;
namespace Program
{
    public class Solver
    {
        public void Solve()
        {
            var n = sc.Integer();
            var a = Enumerate(3, x => new List<KeyValuePair<long, long>>());
            var ans = 1L;
            for (int i = 0; i < n; i++)
            {
                var p = sc.Integer();
                var u = sc.Long();
                var v = sc.Long();
                var gcd = MathEx.GCD(u, v);
                u /= gcd; v /= gcd;
                a[p].Add(new KeyValuePair<long, long>(u, u + v));
                ans++;
            }
            for (int i = 0; i < 3; i++)
                a[i].Sort((l, r) => (l.Key * r.Value).CompareTo(l.Value * r.Key));
            for (int i = 1; i < 3; i++)
            {

                foreach (var p in a[i])
                {
                    var u = p.Key;
                    var d = p.Value;
                    u = d - u;
                    ans += a[0].Count - a[0].UpperBound(new KeyValuePair<long, long>(u, d), (l, r) =>
                            (l.Key * r.Value).CompareTo(l.Value * r.Key));
                }
            }
            Debug.WriteLine(ans);
            foreach (var p in a[1])
                foreach (var q in a[2])
                {
                    var u = p.Key;
                    var d = p.Value;
                    var x = q.Key;
                    var y = q.Value;
                    u = d - u;
                    x = y - x;
                    var nu = u * y + x * d;
                    var nd = d * y;
                    var gcd = MathEx.GCD(nu, nd);
                    nu /= gcd;
                    nd /= gcd;
                    if (nu > nd) continue;
                    if (nu < nd) ans++;
                    ans += a[0].Count - a[0].UpperBound(new KeyValuePair<long, long>(nu, nd), (l, r) =>
                            (l.Key * r.Value).CompareTo(l.Value * r.Key));
                    ans += a[0].LowerBound(new KeyValuePair<long, long>(nu, nd), (l, r) =>
                              (l.Key * r.Value).CompareTo(l.Value * r.Key));
                    if (u * y > x * d)
                        ans -= a[0].LowerBound(new KeyValuePair<long, long>(u, d), (l, r) =>
                                  (l.Key * r.Value).CompareTo(l.Value * r.Key));
                    else ans -= a[0].LowerBound(new KeyValuePair<long, long>(x, y), (l, r) =>
                             (l.Key * r.Value).CompareTo(l.Value * r.Key));

                }
            IO.Printer.Out.WriteLine(ans);
        }

        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}

#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer: StreamWriter
    {
        static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
        public static Printer Out { get; set; }
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
        public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
        public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
    }
    public class StreamScanner
    {
        public StreamScanner(Stream stream) { str = stream; }
        public 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) return 0;
            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) && !isEof); 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 string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != 0 && b != '-' && (b < '0' || '9' < b));
            if (b == 0) return long.MinValue;
            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 int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; }
        private T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n) { return enumerate(n, Char); }
        public string[] Scan(int n) { return enumerate(n, Scan); }
        public double[] Double(int n) { return enumerate(n, Double); }
        public int[] Integer(int n) { return enumerate(n, Integer); }
        public long[] Long(int n) { return enumerate(n, Long); }
    }
}
#endregion

#region gcd,lcm
static public partial class MathEx
{

    static public Number GCD(Number n, Number m)
    {
        bool f = true;
        for (; n != 0 && m != 0; f ^= true)
        {
            if (f)
                m %= n;
            else n %= m;
        }
        return n == 0 ? m : n;
    }
    static public Number LCM(Number n, Number m)
    {
        return (n / GCD(n, m)) * m;
    }
    static public Number GCD(params Number[] a)
    {
        var gcd = a[0];
        foreach (var x in a)
            gcd = GCD(gcd, x);
        return gcd;
    }

}
#endregion

#region BinarySearch for List
static public partial class Algorithm
{

    static private int binarySearch<T>(this IList<T> a, int idx, int len, T v, Comparison<T> cmp, bool islb)
    {
        int l = idx;
        int h = idx + len - 1;
        while (l <= h)
        {
            int i = l + ((h - l) >> 1);
            int ord;
            if (a[i] == null || v == null) return -1;
            else ord = cmp(a[i], v);
            if (ord < 0) l = i + 1;
            else if (ord == 0)
            {
                if (!islb) l = i + 1;
                else h = i - 1;
            }
            else h = i - 1;
        }

        return l;
    }
    static public int UpperBound<T>(this IList<T> a, int idx, int len, T v, Comparison<T> cmp) { return binarySearch(a, idx, len, v, cmp, false); }
    static public int UpperBound<T>(this IList<T> a, int idx, int len, T v) where T : IComparable<T> { return UpperBound(a, idx, len, v, Comparer<T>.Default.Compare); }
    static public int UpperBound<T>(this IList<T> a, T v) where T : IComparable<T> { return UpperBound(a, 0, a.Count, v, Comparer<T>.Default.Compare); }
    static public int UpperBound<T>(this IList<T> a, T v, IComparer<T> cmp) { return UpperBound(a, 0, a.Count, v, cmp.Compare); }
    static public int UpperBound<T>(this IList<T> a, T v, Comparison<T> cmp) { return UpperBound(a, 0, a.Count, v, cmp); }

    static public int LowerBound<T>(this IList<T> a, int idx, int len, T value, Comparison<T> cmp) { return binarySearch(a, idx, len, value, cmp, true); }
    static public int LowerBound<T>(this IList<T> a, int idx, int len, T value) where T : IComparable<T> { return LowerBound(a, idx, len, value, Comparer<T>.Default.Compare); }
    static public int LowerBound<T>(this IList<T> a, T val) where T : IComparable<T> { return LowerBound(a, 0, a.Count, val, Comparer<T>.Default.Compare); }
    static public int LowerBound<T>(this IList<T> a, T val, IComparer<T> cmp) { return LowerBound(a, 0, a.Count, val, cmp.Compare); }
    static public int LowerBound<T>(this IList<T> a, T v, Comparison<T> cmp) { return LowerBound(a, 0, a.Count, v, cmp); }
}
#endregion