結果

問題 No.5007 Steiner Space Travel
ユーザー yupiteru_kunyupiteru_kun
提出日時 2022-07-30 16:23:01
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 654 ms / 1,000 ms
コード長 15,461 bytes
コンパイル時間 6,911 ms
実行使用メモリ 175,112 KB
スコア 6,338,405
最終ジャッジ日時 2022-07-30 16:23:31
合計ジャッジ時間 29,130 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge13
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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 653 ms
38,436 KB
testcase_01 AC 651 ms
38,420 KB
testcase_02 AC 652 ms
38,560 KB
testcase_03 AC 654 ms
38,008 KB
testcase_04 AC 651 ms
38,840 KB
testcase_05 AC 652 ms
38,484 KB
testcase_06 AC 652 ms
38,392 KB
testcase_07 AC 651 ms
38,812 KB
testcase_08 AC 651 ms
38,372 KB
testcase_09 AC 651 ms
38,780 KB
testcase_10 AC 650 ms
38,408 KB
testcase_11 AC 651 ms
38,400 KB
testcase_12 AC 650 ms
38,772 KB
testcase_13 AC 650 ms
38,340 KB
testcase_14 AC 650 ms
38,412 KB
testcase_15 AC 651 ms
38,620 KB
testcase_16 AC 653 ms
38,200 KB
testcase_17 AC 653 ms
38,260 KB
testcase_18 AC 652 ms
38,008 KB
testcase_19 AC 653 ms
38,744 KB
testcase_20 AC 653 ms
38,292 KB
testcase_21 AC 652 ms
38,700 KB
testcase_22 AC 652 ms
38,472 KB
testcase_23 AC 651 ms
38,776 KB
testcase_24 AC 652 ms
38,796 KB
testcase_25 AC 654 ms
38,368 KB
testcase_26 AC 650 ms
38,676 KB
testcase_27 AC 651 ms
38,644 KB
testcase_28 AC 653 ms
38,728 KB
testcase_29 AC 654 ms
175,112 KB
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コンパイルメッセージ
  Determining projects to restore...
  Restored /home/judge/data/code/main.csproj (in 109 ms).
.NET 向け Microsoft (R) Build Engine バージョン 17.0.0-preview-21470-01+cb055d28f
Copyright (C) Microsoft Corporation.All rights reserved.

  プレビュー版の .NET を使用しています。https://aka.ms/dotnet-core-preview をご覧ください
  main -> /home/judge/data/code/bin/Release/net6.0/main.dll
  main -> /home/judge/data/code/bin/Release/net6.0/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 startTime = DateTime.Now;
            var N = (int)NN;
            var M = (int)NN;
            (int x, int y)[] ab = Repeat(0, N).Select(_ => ((int)NN, (int)NN)).Concat(Repeat(0, M).Select(_ => (0, 0))).ToArray();
            var A = 5;

            Func<int, int, long> calcDist = (f, t) =>
            {
                var fromX = 0;
                var fromY = 0;
                var toX = 0;
                var toY = 0;
                var fromCoef = 1L;
                var toCoef = 1L;
                if (f > N)
                {
                    fromX = ab[f + N - 1].x;
                    fromY = ab[f + N - 1].y;
                }
                else
                {
                    fromX = ab[f - 1].x;
                    fromY = ab[f - 1].y;
                    fromCoef = A;
                }
                if (t > N)
                {
                    toX = ab[t + N - 1].x;
                    toY = ab[t + N - 1].y;
                }
                else
                {
                    toX = ab[t - 1].x;
                    toY = ab[t - 1].y;
                    toCoef = A;
                }
                return fromCoef * toCoef * ((fromX - toX) * (fromX - toX) + (fromY - toY) * (fromY - toY));
            };

            var grid = new int[1001, 1001];
            var pathList = new List<(int from, int to)>();
            for (var i = 0; i < N; ++i)
            {
                grid[ab[i].x, ab[i].y] = i + 1;
            }
            var score = 0L;
            {
                var done = new bool[N + 1];
                var from = 1;
                done[from] = true;
                for (var i = 1; i < N; ++i)
                {
                    var minDist = long.MaxValue;
                    var minNum = 0;
                    for (var j = 1; j <= N; ++j)
                    {
                        if (done[j]) continue;
                        if (minDist.Chmin(calcDist(from, j)))
                        {
                            minNum = j;
                        }
                    }
                    score += minDist;
                    pathList.Add((from, minNum));
                    from = minNum;
                    done[from] = true;
                }
                score += calcDist(from, 1);
                pathList.Add((from, 1));
            }

            var hasEdge = ab.Select(_ =>
            {
                var ret = new int[2];
                ret[0] = ret[1] = -1;
                return ret;
            }).ToArray();
            for (var i = 0; i < pathList.Count; ++i)
            {
                if (hasEdge[pathList[i].from - 1][0] == -1) hasEdge[pathList[i].from - 1][0] = i;
                else hasEdge[pathList[i].from - 1][1] = i;
                if (hasEdge[pathList[i].to - 1][0] == -1) hasEdge[pathList[i].to - 1][0] = i;
                else hasEdge[pathList[i].to - 1][1] = i;
            }

            while ((DateTime.Now - startTime).TotalMilliseconds < 600)
            {
                var p1 = (int)(xorshift % pathList.Count);
                var p2 = (int)(xorshift % (pathList.Count - 1));
                if (p2 >= p1) ++p2;
                if (pathList[p1].from == pathList[p2].from || pathList[p1].from == pathList[p2].to ||
                    pathList[p1].to == pathList[p2].from || pathList[p1].to == pathList[p2].to)
                {
                    continue;
                }
                var goal = 0;
                {
                    var from = pathList[p1].from;
                    goal = pathList[p1].to;
                    while (true)
                    {
                        if (goal == pathList[p2].from || goal == pathList[p2].to) break;
                        var to = 0;
                        var pos1 = pathList[hasEdge[goal - 1][0]];
                        var pos2 = pathList[hasEdge[goal - 1][1]];
                        if (pos1.from == from || pos1.to == from)
                        {
                            if (pos2.from == goal) to = pos2.to;
                            else to = pos2.from;
                        }
                        else
                        {
                            if (pos1.from == goal) to = pos1.to;
                            else to = pos1.from;
                        }
                        from = goal;
                        goal = to;
                    }
                }
                var newScore = score;
                newScore -= calcDist(pathList[p1].from, pathList[p1].to);
                newScore -= calcDist(pathList[p2].from, pathList[p2].to);
                if (goal == pathList[p2].from)
                {
                    newScore += calcDist(pathList[p1].from, pathList[p2].from);
                    newScore += calcDist(pathList[p2].to, pathList[p1].to);
                    if (newScore < score)
                    {
                        score = newScore;
                        if (hasEdge[pathList[p1].to - 1][0] == p1)
                        {
                            hasEdge[pathList[p1].to - 1][0] = p2;
                        }
                        else
                        {
                            hasEdge[pathList[p1].to - 1][1] = p2;
                        }
                        if (hasEdge[pathList[p2].from - 1][0] == p2)
                        {
                            hasEdge[pathList[p2].from - 1][0] = p1;
                        }
                        else
                        {
                            hasEdge[pathList[p2].from - 1][1] = p1;
                        }
                        var newp1 = (pathList[p1].from, pathList[p2].from);
                        var newp2 = (pathList[p2].to, pathList[p1].to);
                        pathList[p1] = newp1;
                        pathList[p2] = newp2;
                    }
                }
                else
                {
                    newScore += calcDist(pathList[p1].from, pathList[p2].to);
                    newScore += calcDist(pathList[p2].from, pathList[p1].to);
                    if (newScore < score)
                    {
                        score = newScore;
                        if (hasEdge[pathList[p1].to - 1][0] == p1)
                        {
                            hasEdge[pathList[p1].to - 1][0] = p2;
                        }
                        else
                        {
                            hasEdge[pathList[p1].to - 1][1] = p2;
                        }
                        if (hasEdge[pathList[p2].to - 1][0] == p2)
                        {
                            hasEdge[pathList[p2].to - 1][0] = p1;
                        }
                        else
                        {
                            hasEdge[pathList[p2].to - 1][1] = p1;
                        }
                        var newp1 = (pathList[p1].from, pathList[p2].to);
                        var newp2 = (pathList[p2].from, pathList[p1].to);
                        pathList[p1] = newp1;
                        pathList[p2] = newp2;
                    }
                }
            }
            {
                for (var i = 0; i < M; ++i)
                {
                    Console.WriteLine($"{ab[i + N].x} {ab[i + N].y}");
                }
                Console.WriteLine(pathList.Count + 1);
                var from = -1;
                var now = 1;
                Console.WriteLine($"1 1");
                for (var i = 0; i < pathList.Count; ++i)
                {
                    var to = 0;
                    var p1 = pathList[hasEdge[now - 1][0]];
                    var p2 = pathList[hasEdge[now - 1][1]];
                    if (p1.from == from || p1.to == from)
                    {
                        if (p2.from == now) to = p2.to;
                        else to = p2.from;
                    }
                    else
                    {
                        if (p1.from == now) to = p1.to;
                        else to = p1.from;
                    }
                    from = now;
                    now = to;
                    Console.WriteLine($"1 {now}");
                }
            }
        }
        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 public void Main(string[] args) { if (args.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 {
    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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