結果

問題 No.5006 Hidden Maze
ユーザー RisenRisen
提出日時 2022-06-12 17:20:04
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 579 ms / 2,000 ms
コード長 8,573 bytes
コンパイル時間 6,601 ms
実行使用メモリ 69,280 KB
スコア 51,315
平均クエリ数 487.85
最終ジャッジ日時 2022-06-12 17:20:50
合計ジャッジ時間 42,849 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge14
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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 286 ms
68,812 KB
testcase_01 AC 287 ms
69,116 KB
testcase_02 AC 236 ms
68,760 KB
testcase_03 AC 196 ms
68,596 KB
testcase_04 AC 228 ms
68,540 KB
testcase_05 AC 223 ms
67,952 KB
testcase_06 AC 272 ms
68,292 KB
testcase_07 AC 532 ms
68,400 KB
testcase_08 AC 444 ms
68,964 KB
testcase_09 AC 541 ms
68,204 KB
testcase_10 AC 195 ms
68,204 KB
testcase_11 AC 315 ms
69,152 KB
testcase_12 AC 334 ms
68,764 KB
testcase_13 AC 220 ms
68,280 KB
testcase_14 AC 544 ms
68,524 KB
testcase_15 AC 334 ms
68,260 KB
testcase_16 AC 226 ms
68,652 KB
testcase_17 AC 374 ms
68,688 KB
testcase_18 AC 289 ms
68,760 KB
testcase_19 AC 131 ms
56,524 KB
testcase_20 AC 214 ms
68,072 KB
testcase_21 AC 173 ms
63,916 KB
testcase_22 AC 484 ms
68,688 KB
testcase_23 AC 316 ms
68,600 KB
testcase_24 AC 544 ms
68,308 KB
testcase_25 AC 450 ms
68,796 KB
testcase_26 AC 503 ms
68,944 KB
testcase_27 AC 418 ms
68,664 KB
testcase_28 AC 145 ms
59,744 KB
testcase_29 AC 537 ms
68,840 KB
testcase_30 AC 208 ms
68,848 KB
testcase_31 AC 191 ms
68,488 KB
testcase_32 AC 206 ms
68,412 KB
testcase_33 AC 391 ms
68,948 KB
testcase_34 AC 109 ms
50,092 KB
testcase_35 AC 431 ms
68,836 KB
testcase_36 AC 249 ms
68,468 KB
testcase_37 AC 550 ms
68,508 KB
testcase_38 AC 242 ms
68,476 KB
testcase_39 AC 520 ms
68,048 KB
testcase_40 AC 199 ms
68,360 KB
testcase_41 AC 220 ms
68,460 KB
testcase_42 AC 298 ms
68,776 KB
testcase_43 AC 488 ms
68,628 KB
testcase_44 AC 268 ms
68,348 KB
testcase_45 AC 222 ms
68,108 KB
testcase_46 AC 579 ms
68,760 KB
testcase_47 AC 170 ms
64,680 KB
testcase_48 AC 459 ms
68,976 KB
testcase_49 AC 561 ms
68,524 KB
testcase_50 AC 244 ms
69,044 KB
testcase_51 AC 280 ms
68,952 KB
testcase_52 AC 323 ms
68,716 KB
testcase_53 AC 390 ms
68,720 KB
testcase_54 AC 274 ms
68,648 KB
testcase_55 AC 380 ms
68,904 KB
testcase_56 AC 263 ms
69,084 KB
testcase_57 AC 516 ms
68,320 KB
testcase_58 AC 523 ms
68,776 KB
testcase_59 AC 149 ms
61,356 KB
testcase_60 AC 184 ms
68,168 KB
testcase_61 AC 124 ms
54,952 KB
testcase_62 AC 300 ms
68,256 KB
testcase_63 AC 334 ms
68,548 KB
testcase_64 AC 415 ms
68,176 KB
testcase_65 AC 373 ms
68,372 KB
testcase_66 AC 312 ms
68,684 KB
testcase_67 AC 122 ms
53,932 KB
testcase_68 AC 399 ms
68,652 KB
testcase_69 AC 471 ms
68,328 KB
testcase_70 AC 141 ms
58,880 KB
testcase_71 AC 180 ms
68,668 KB
testcase_72 AC 116 ms
51,680 KB
testcase_73 AC 171 ms
67,928 KB
testcase_74 AC 354 ms
68,732 KB
testcase_75 AC 308 ms
68,756 KB
testcase_76 AC 109 ms
50,224 KB
testcase_77 AC 192 ms
68,128 KB
testcase_78 AC 558 ms
69,068 KB
testcase_79 AC 537 ms
68,892 KB
testcase_80 AC 259 ms
68,840 KB
testcase_81 AC 205 ms
68,188 KB
testcase_82 AC 132 ms
55,484 KB
testcase_83 AC 118 ms
51,652 KB
testcase_84 AC 300 ms
68,836 KB
testcase_85 AC 459 ms
68,308 KB
testcase_86 AC 91 ms
46,076 KB
testcase_87 AC 384 ms
68,552 KB
testcase_88 AC 367 ms
68,620 KB
testcase_89 AC 520 ms
68,536 KB
testcase_90 AC 233 ms
68,604 KB
testcase_91 AC 306 ms
69,280 KB
testcase_92 AC 120 ms
52,392 KB
testcase_93 AC 378 ms
68,336 KB
testcase_94 AC 185 ms
68,288 KB
testcase_95 AC 541 ms
68,616 KB
testcase_96 AC 185 ms
68,228 KB
testcase_97 AC 515 ms
68,404 KB
testcase_98 AC 272 ms
68,848 KB
testcase_99 AC 235 ms
68,268 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 114 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.Diagnostics;
using System.Linq;
using System.Text;
using static Constants;

public static class Constants
{
    public static readonly int N = 20;

    public static readonly Point[] Dirs =
    {
        new Point(-1, 0), // 左
        new Point(0, -1), // 上
        new Point(1, 0), // 右
        new Point(0, 1), // 下
    };
}

public class PriorityQueue<TKey, TValue>
{
    SortedDictionary<TKey, Stack<TValue>> dict = new SortedDictionary<TKey, Stack<TValue>>();
    int count;

    public int Count
    {
        get
        {
            return count;
        }
    }

    public void Enqueue(TKey key, TValue value)
    {
        Stack<TValue> set;
        if (!dict.TryGetValue(key, out set))
        {
            set = new Stack<TValue>();
            dict[key] = set;
        }

        set.Push(value);
        count++;
    }

    public KeyValuePair<TKey, TValue> Dequeue()
    {
        var queue = dict.First();
        if (queue.Value.Count <= 1)
        {
            dict.Remove(queue.Key);
        }

        var val = queue.Value.Pop();
        count--;
        return new KeyValuePair<TKey, TValue>(queue.Key, val);
    }

    public KeyValuePair<TKey, TValue> Peek()
    {
        var queue = dict.First();
        var val = queue.Value.Peek();
        return new KeyValuePair<TKey, TValue>(queue.Key, val);
    }
}

public struct Point
{
    public int X;
    public int Y;

    public static readonly Point Invalid = new Point(-1, -1);
    public static readonly Point Left = new Point(-1, 0);
    public static readonly Point Up = new Point(0, -1);
    public static readonly Point Right = new Point(1, 0);
    public static readonly Point Down = new Point(0, 1);

    public Point(Point p)
    {
        X = p.X;
        Y = p.Y;
    }

    public Point(int x, int y)
    {
        X = x;
        Y = y;
    }

    public static bool operator ==(Point a, Point b)
    {
        return (a.X == b.X && a.Y == b.Y);
    }

    public static bool operator !=(Point a, Point b)
    {
        return !(a == b);
    }

    //objと自分自身が等価のときはtrueを返す
    public override bool Equals(object obj)
    {
        if (!(obj is Point))
        {
            return false;
        }

        Point p = (Point)obj;
        return (X == p.X && Y == p.Y);
    }

    //Equalsがtrueを返すときに同じ値を返す
    public override int GetHashCode()
    {
        return (X << 16) ^ Y;
    }

    public Point Clone()
    {
        return new Point(X, Y);
    }

    public void Reverse()
    {
        X = -X;
        Y = -Y;
    }

    public static Point operator +(Point a, Point b)
    {
        return new Point(a.X + b.X, a.Y + b.Y);
    }

    public static Point operator -(Point a, Point b)
    {
        return new Point(a.X - b.X, a.Y - b.Y);
    }

    public static Point operator *(Point a, int i)
    {
        return new Point(a.X * i, a.Y * i);
    }

    public static Point operator /(Point a, int i)
    {
        return new Point(a.X / i, a.Y / i);
    }
    public static Point operator +(Point a)
    {
        return new Point(+a.X, +a.Y);
    }

    public static Point operator -(Point a)
    {
        return new Point(-a.X, -a.Y);
    }

    public override string ToString()
    {
        return string.Format("({0},{1})", Y, X);
    }

    public Point Sign()
    {
        return new Point(Math.Sign(X), Math.Sign(Y));
    }

    public int Distance(Point p)
    {
        return Math.Abs(this.X - p.X) + Math.Abs(this.Y - p.Y);
    }

    public char ToDirStr()
    {
        if (X < 0)
        {
            return 'L';
        }
        if (X > 0)
        {
            return 'R';
        }
        if (Y < 0)
        {
            return 'U';
        }
        return 'D';
    }

    public bool InRange()
    {
        return 0 <= X && X < N && 0 <= Y && Y < N;
    }
}

public class Solver
{
    readonly double P;
    int[,] RWall; // -1:壁はない 0以上:移動失敗回数
    int[,] DWall;
    List<Point>[,] Neighbors;

    public Solver(double p)
    {
        P = p;
        RWall = new int[N, N];
        DWall = new int[N, N];
        InitNeighbors();
    }

    void InitNeighbors()
    {
        Neighbors = new List<Point>[N, N];
        for (int y = 0; y < N; y++)
        {
            for (int x = 0; x < N; x++)
            {
                Neighbors[y, x] = new List<Point>();
                var p = new Point(x, y);
                foreach (var dir in Dirs)
                {
                    var nei = p + dir;
                    if (nei.InRange())
                    {
                        Neighbors[y, x].Add(nei);
                    }
                }
            }
        }
    }

    int GetWallValue(Point cur, Point next)
    {
        var dir = next - cur;
        if (dir.Y == 0)
        {
            return RWall[cur.Y, Math.Min(cur.X, next.X)];

        }
        return DWall[Math.Min(cur.Y, next.Y), cur.X];
    }

    double GetProb(Point cur, Point next)
    {
        var dir = next - cur;
        var wall = GetWallValue(cur, next);
        if (wall == 0)
        {
            return 1.01;
        }
        if (wall == -1)
        {
            return 1;
        }
        return Math.Pow(1 - P, wall);
    }

    public (string, List<Point>) GetAction()
    {
        var start = new Point(0, 0);
        var goal = new Point(N - 1, N - 1);
        var prev = new Dictionary<Point, Point>();
        var queue = new PriorityQueue<double, Point>(); // 確率の降順

        queue.Enqueue(-1, start);
        prev[start] = start;
        while (queue.Count > 0)
        {
            var kv = queue.Dequeue();
            var cur = kv.Value;
            var prob = -kv.Key;
            foreach (var next in Neighbors[cur.Y, cur.X])
            {
                if (prev.ContainsKey(next))
                {
                    continue;
                }

                var nextProb = prob * GetProb(cur, next) * (1 - P);
                queue.Enqueue(-nextProb, next);
                prev[next] = cur;
                if (next == goal)
                {
                    break;
                }
            }
        }

        var way = new List<Point>();
        for (var p = goal; p != start; p = prev[p])
        {
            way.Add(p);
        }
        way.Add(start);
        way.Reverse();
        var acts = new StringBuilder();
        var pr = start;
        foreach (var p in way.Skip(1))
        {
            var dir = p - pr;
            acts.Append(dir.ToDirStr());
            pr = p;
        }
        return (acts.ToString(), way);
    }

    public void SetResult(List<Point> way, int step)
    {
        for (int i = 0; i < step; i++)
        {
            var cur = way[i];
            var next = way[i + 1];
            var dir = next - cur;
            if (dir.Y == 0)
            {
                var y = cur.Y;
                var x = Math.Min(cur.X, next.X);
                RWall[y, x] = -1;
            }
            else
            {
                var y = Math.Min(cur.Y, next.Y);
                var x = cur.X;
                DWall[y, x] = -1;
            }
        }
        {
            var cur = way[step];
            var next = way[step + 1];
            var dir = next - cur;
            if (dir.Y == 0)
            {
                var y = cur.Y;
                var x = Math.Min(cur.X, next.X);
                if (RWall[y, x] >= 0)
                {
                    RWall[y, x]++;
                }
            }
            else
            {
                var y = Math.Min(cur.Y, next.Y);
                var x = cur.X;
                if (DWall[y, x] >= 0)
                {
                    DWall[y, x]++;
                }
            }
        }
    }
}

public static class Solution
{
    public static void Main()
    {
        var vals = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
        var h = vals[0];
        var w = vals[1];
        var p = vals[2] * 0.01;

        var solver = new Solver(p);
        try
        {
            while (true)
            {
                (var acts, var way) = solver.GetAction();
                Console.WriteLine(acts);
                var step = int.Parse(Console.ReadLine());
                if (step < 0)
                {
                    break;
                }
                solver.SetResult(way, step);
            }
        }
        catch (Exception e)
        {
            Console.Error.WriteLine(e);
        }
    }
}
0