using System; using System.Linq; 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(); var ans = MagicSquare.Create(n); foreach (var x in ans.mat) IO.Printer.Out.WriteLine(x.AsJoinedString()); var sum = n * (n * n + 1) / 2; { for (int i = 0; i < n; i++) { var val = 0; for (int j = 0; j < n; j++) val += ans.mat[i][j]; if (val != sum) { } } for (int j = 0; j < n; j++) { var val = 0; for (int i = 0; i < n; i++) val += ans.mat[i][j]; if (val != sum) { } } } } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #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(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().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 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(int n, Func 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); } } } static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable 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 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 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(); 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; } }