#45474 (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	2015-08-25 11:15:48
言語	C#(csc) (csc 3.9.0)
結果	WA (最新) AC (最初)
実行時間	-
コード長	13,023 bytes
コンパイル時間	1,197 ms
コンパイル使用メモリ	116,292 KB
実行使用メモリ	32,944 KB
最終ジャッジ日時	2024-06-07 21:03:02
合計ジャッジ時間	6,351 ms
ジャッジサーバーID （参考情報）	judge3 / 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	29 ms 25,056 KB
testcase_01	AC	22 ms 27,628 KB
testcase_02	AC	22 ms 23,408 KB
testcase_03	AC	31 ms 25,044 KB
testcase_04	AC	28 ms 25,188 KB
testcase_05	AC	30 ms 27,220 KB
testcase_06	WA	-
testcase_07	AC	29 ms 25,260 KB
testcase_08	AC	29 ms 25,060 KB
testcase_09	AC	28 ms 24,928 KB
testcase_10	WA	-
testcase_11	AC	31 ms 24,932 KB
testcase_12	AC	29 ms 26,972 KB
testcase_13	AC	31 ms 26,972 KB
testcase_14	WA	-
testcase_15	AC	31 ms 25,056 KB
testcase_16	AC	30 ms 25,056 KB
testcase_17	AC	30 ms 25,320 KB
testcase_18	WA	-
testcase_19	AC	31 ms 25,044 KB
testcase_20	WA	-
testcase_21	WA	-
testcase_22	AC	31 ms 25,308 KB
testcase_23	AC	33 ms 25,060 KB
testcase_24	AC	31 ms 24,828 KB
testcase_25	AC	33 ms 25,188 KB
testcase_26	WA	-
testcase_27	AC	33 ms 25,236 KB
testcase_28	WA	-
testcase_29	WA	-
testcase_30	AC	34 ms 26,760 KB
testcase_31	WA	-
testcase_32	AC	34 ms 25,244 KB
testcase_33	WA	-
testcase_34	AC	34 ms 25,156 KB
testcase_35	WA	-
testcase_36	AC	35 ms 24,984 KB
testcase_37	WA	-
testcase_38	AC	35 ms 24,972 KB

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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
    {
        /// <summary>
        /// 転倒数の計算をBITでやる乱択
        /// </summary>
        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; dist = (n - (i + 1) + n - (j + 1)); }
                var p = Check(mat);

                var sq = MagicSquare.Create(n);
                for (int i = 0; i < n; i++)
                    for (int j = 0; j < n; j++)
                        if (sq.mat[i][j] == n * n) { dist = (n - (i + 1) + n - (j + 1)); row = i; break; }
                var rand = new Random();
                var cnt = 0;
                while (Check(sq.mat) != p)
                {
                    var x = rand.Next() % n;
                    var y = rand.Next() % n;
                    if (x == row)
                    {
                        dist += x;dist -= y;
                        row = y;
                    }else if (y == row)
                    {
                        dist += y;dist -= x;
                        row = x;
                    }
                    Swap(ref sq.mat[x], ref sq.mat[y]);
                    cnt++;
                }
                foreach (var a in sq.mat)
                    IO.Printer.Out.WriteLine(a.AsJoinedString());
                Debug.WriteLine(cnt);
            }
        }
        static int dist;
        static int row;
        static public int Check(int[][] mat)
        {
            return MathEx.GetInversion(mat) % 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

#region Inversion
public static partial class MathEx
{
    public static long GetInversion(this int[][] a)
    {
        var n = a.Length;
        long ret = 0;
        var b = new List<long>() { long.MinValue };
        foreach (var x in a)
            foreach (var y in x)
                b.Add(y);
        b.Sort();
        var bit = new FenwickTree(b.Count);
        foreach (var x in a)
            foreach (var y in x)
            {
                var p = b.BinarySearch(y);
                bit.Add(p + 1, 1);
            }
        foreach (var x in a)
            foreach (var y in x)
            {
                var p = b.BinarySearch(y);
                ret += bit[p];
                bit.Add(p, -1);
            }

        return ret;
    }
}
#endregion
#region FenwickTree
[System.Diagnostics.DebuggerDisplay("Data={ToString()}")]
public class FenwickTree
{
    int n;
    long[] bit;
    int max = 1;
    public FenwickTree(int size)
    {
        n = size; bit = new long[n + 1];
        while ((max << 1) <= n) max <<= 1;
    }
    /// <summary>sum[a,b]</summary>
    public long this[int i, int j] { get { return this[j] - this[i - 1]; } }
    /// <summary>sum[0,i]</summary>
    public long this[int i] { get { long s = 0; for (; i > 0; i -= i & -i) s += bit[i]; return s; } }
    public int LowerBound(long w)
    {
        if (w <= 0) return 0;
        int x = 0;
        for (int k = max; k > 0; k >>= 1)
            if (x + k <= n && bit[x + k] < w)
            {
                w -= bit[x + k];
                x += k;
            }
        return x + 1;
    }
    /// <summary>add v to bit[i]</summary>
    public void Add(int i, long v)
    {
        if (i == 0) System.Diagnostics.Debug.Fail("BIT is 1 indexed");
        for (; i <= n; i += i & -i) bit[i] += v;
    }
    public override string ToString() { return string.Join(",", Enumerable.Range(0, n + 1).Select(i => this[i, i])); }
}
#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