#48841 (C#(csc)) No.283 スライドパズルと魔方陣

提出ソース

結果

問題	No.283 スライドパズルと魔方陣
ユーザー	紙ぺーぱー
提出日時	2015-09-11 17:49:46
言語	C#(csc) (csc 3.9.0)
結果	AC
実行時間	90 ms / 2,000 ms
コード長	12,355 bytes
コンパイル時間	1,175 ms
コンパイル使用メモリ	120,464 KB
実行使用メモリ	26,076 KB
最終ジャッジ日時	2024-06-07 21:03:19
合計ジャッジ時間	6,743 ms
ジャッジサーバーID （参考情報）	judge1 / judge4

このコードへのチャレンジ
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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	28 ms 24,036 KB
testcase_01	AC	24 ms 25,468 KB
testcase_02	AC	24 ms 23,320 KB
testcase_03	AC	28 ms 25,944 KB
testcase_04	AC	28 ms 25,972 KB
testcase_05	AC	28 ms 23,780 KB
testcase_06	AC	28 ms 24,036 KB
testcase_07	AC	27 ms 23,916 KB
testcase_08	AC	28 ms 24,036 KB
testcase_09	AC	28 ms 21,940 KB
testcase_10	AC	28 ms 23,908 KB
testcase_11	AC	27 ms 23,904 KB
testcase_12	AC	28 ms 23,904 KB
testcase_13	AC	28 ms 24,108 KB
testcase_14	AC	28 ms 23,780 KB
testcase_15	AC	28 ms 24,244 KB
testcase_16	AC	28 ms 23,900 KB
testcase_17	AC	29 ms 26,076 KB
testcase_18	AC	30 ms 26,068 KB
testcase_19	AC	29 ms 24,028 KB
testcase_20	AC	29 ms 23,904 KB
testcase_21	AC	38 ms 24,108 KB
testcase_22	AC	38 ms 24,112 KB
testcase_23	AC	38 ms 25,952 KB
testcase_24	AC	36 ms 23,904 KB
testcase_25	AC	41 ms 23,984 KB
testcase_26	AC	41 ms 24,072 KB
testcase_27	AC	83 ms 23,980 KB
testcase_28	AC	83 ms 23,912 KB
testcase_29	AC	88 ms 24,164 KB
testcase_30	AC	87 ms 26,052 KB
testcase_31	AC	88 ms 23,780 KB
testcase_32	AC	88 ms 25,948 KB
testcase_33	AC	88 ms 23,908 KB
testcase_34	AC	89 ms 25,908 KB
testcase_35	AC	90 ms 24,240 KB
testcase_36	AC	89 ms 24,164 KB
testcase_37	AC	89 ms 23,776 KB
testcase_38	AC	88 ms 23,772 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

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

raw source code

using System;
using System.Linq;
using System.Diagnostics;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;

namespace Program
{

    public class Solver
    {
        public void Solve()
        {
            var n = sc.Integer();
            if (n == 2)
                IO.Printer.Out.WriteLine("impossible");
            else
            {
                IO.Printer.Out.WriteLine("possible");
                var mat = Enumerate(n, x => sc.Integer(n));
                for (int i = 0; i < n; i++)
                    for (int j = 0; j < n; j++)
                        if (mat[i][j] == 0) mat[i][j] = n * n;
                var sq = MagicSquare.Create(n);
                if (Check(sq.mat) != Check(mat))
                {
                    if (n % 2 == 0)
                    {
                        foreach (var a in sq.mat)
                            Array.Reverse(a);
                    }
                    else
                    {
                        var ok = false;
                        for (int i = 0, j = n - 1; i < j; i++, j--)
                        {
                            var pass = false;
                            for (int k = 0; k < n; k++)
                            {
                                if (sq.mat[i][k] == n * n) pass = true;
                                if (sq.mat[j][k] == n * n) pass = true;
                            }
                            if (pass) continue;
                            Swap(ref sq.mat[i], ref sq.mat[j]);
                            ok = true;
                            break;
                        }
                        if (!ok)
                        {
                            for (int i = 0, j = n - 1; i < j; i++, j--)
                            {
                                var pass = false;
                                for (int k = 0; k < n; k++)
                                {
                                    if (sq.mat[k][i] == n * n) pass = true;
                                    if (sq.mat[k][j] == n * n) pass = true;
                                }
                                if (pass) continue;
                                for (int k = 0; k < n; k++)
                                    Swap(ref sq.mat[k][i], ref sq.mat[k][j]);
                                ok = true;
                                break;
                            }
                        }
                    }
                }
                foreach (var a in sq.mat)
                    IO.Printer.Out.WriteLine(a.AsJoinedString());
            }
        }
        static public int Check(int[][] mat)
        {
            var m = mat.Length;
            var inv = 0;
            var a = new List<int>();
            for (int i = 0; i < m; i++)
                for (int j = 0; j < m; j++) a.Add(mat[i][j]);
            var dist = 0;
            for (int i = 0; i < m; i++)
                for (int j = 0; j < m; j++)
                    if (mat[i][j] == m * m) dist = (m - (i + 1) + m - (j + 1));
            for (int i = 0; i < a.Count; i++)
            {
                for (int j = i + 1; j < a.Count; j++)
                    if (a[i] > a[j]) inv++;
            }

            return inv % 2 == dist % 2 ? 0 : 1;
        }
        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 != '-' && (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 int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
        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 MagicScuare
public class MagicSquare
{
    public int[][] mat;
    MagicSquare(int n)
    {
        mat = new int[n][];
        for (int i = 0; i < n; i++)
            mat[i] = new int[n];
    }
    static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }

    static public MagicSquare Create(int n, int x, int y, int v)
    {
        var sq = MagicSquare.Create(n);
        var p = -1;
        var q = -1;
        for (int i = 0; i < n; i++)
            for (int j = 0; j < n; j++)
                if (sq.mat[i][j] == v) { p = i; q = j; }
        var sum = n * (n * n + 1) / 2;
        Swap(ref sq.mat[y], ref sq.mat[p]);
        for (int i = 0; i < n; i++)
            Swap(ref sq.mat[i][x], ref sq.mat[i][q]);


        var rand = new Random();
        while (true)
        {
            var rc = rand.Next() % 2;
            var r = rand.Next() % n;
            var c = rand.Next() % n;
            if (rc == 0)
            {
                if (r == y || c == y)
                    continue;
                Swap(ref sq.mat[r], ref sq.mat[c]);
            }
            else
            {
                if (r == x || c == x)
                    continue;
                for (int t = 0; t < n; t++)
                    Swap(ref sq.mat[t][r], ref sq.mat[t][c]);
            }
            var e = 0;
            var f = 0;
            for (int t = 0; t < n; t++)
            {
                e += sq.mat[t][t];
                f += sq.mat[t][n - 1 - t];
            }
            if (e == sum && f == sum)
                return sq;
        }
    }
    static public MagicSquare Create(int n)
    {
        var ans = new MagicSquare(n);
        if (n % 2 == 1)
        {
            var mat = ans.mat;
            var cnt = 1;
            var p = n / 2;
            var q = 0;
            while (cnt <= n * n)
            {
                mat[q][p] = cnt++;
                if (mat[(q + n - 1) % n][(p + 1) % n] == 0)
                {
                    p = (p + 1) % n;
                    q = (q + n - 1) % n;
                }
                else
                    q = (q + 1) % n;
            }
        }
        else if (n % 4 == 0)
        {
            var mat = ans.mat;
            var q = new Queue<int>();

            for (int i = 0; i < n; i += 4)
            {
                for (int j = 0; j < n; j += 4)
                {
                    mat[i][j] = (i * n + j) + 1;
                    mat[i][j + 3] = (i * n + j + 3) + 1;
                }
                for (int j = 0; j < n; j += 4)
                {
                    mat[i + 1][j + 1] = ((i + 1) * n + j + 1) + 1;
                    mat[i + 1][j + 2] = ((i + 1) * n + j + 2) + 1;
                }
                for (int j = 0; j < n; j += 4)
                {
                    mat[i + 2][j + 1] = ((i + 2) * n + j + 1) + 1;
                    mat[i + 2][j + 2] = ((i + 2) * n + j + 2) + 1;
                }
                for (int j = 0; j < n; j += 4)
                {
                    mat[i + 3][j] = ((i + 3) * n + j) + 1;
                    mat[i + 3][j + 3] = ((i + 3) * n + j + 3) + 1;
                }
            }
            for (int i = 0; i < n; i++)
                for (int j = 0; j < n; j++)
                    if (mat[i][j] == 0) q.Enqueue(i * n + j + 1);
            for (int i = n - 1; i >= 0; i--)
                for (int j = n - 1; j >= 0; j--)
                    if (mat[i][j] == 0) mat[i][j] = q.Dequeue();
        }
        else
        {
            var mat = ans.mat;
            var mini = MagicSquare.Create(n / 2);
            for (int i = 0; i < n; i++)
                for (int j = 0; j < n; j++)
                    mat[i][j] += (mini.mat[i / 2][j / 2] - 1) << 2;
            for (int i = 0; i < n / 2; i++)
                for (int j = 0; j < n / 2; j++)
                {
                    //Debug.Write(string.Format("{0} {1}", i, j));

                    if (i > (n / 2 + 1) / 2)
                    {
                        //Debug.WriteLine(" X");
                        mat[i * 2][j * 2] += 1;
                        mat[i * 2][j * 2 + 1] += 4;
                        mat[i * 2 + 1][j * 2] += 3;
                        mat[i * 2 + 1][j * 2 + 1] += 2;
                    }
                    else if ((i == (n / 2 + 1) / 2 && j != n / 4) || (i == (n / 2 + 1) / 2 - 1 && j == n / 4))
                    {
                        //Debug.WriteLine(" U");
                        mat[i * 2][j * 2] += 1;
                        mat[i * 2][j * 2 + 1] += 4;
                        mat[i * 2 + 1][j * 2] += 2;
                        mat[i * 2 + 1][j * 2 + 1] += 3;
                    }
                    else
                    {
                        //Debug.WriteLine(" L");
                        mat[i * 2][j * 2] += 4;
                        mat[i * 2][j * 2 + 1] += 1;
                        mat[i * 2 + 1][j * 2] += 2;
                        mat[i * 2 + 1][j * 2 + 1] += 3;
                    }


                }
        }
        return ans;
    }

}
#endregion

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード