Problem: Find an n × n matrix with different numbers from 1 to n2, so the sum in each row, column and both main diagonals are odd.

Input

The only line contains odd integer n (1 ≤ n ≤ 49).

Output

Print n lines with n integers. All the integers should be different and from 1 to n2. The sum in each row, column and both main diagonals should be odd.

Examples

Input

1


Output

1


Input

3


Output

2 1 4
3 5 7
6 9 8

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.OutputStream;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author whhone
 */
public class Main {
  public static void main(String[] args) {
    InputStream inputStream = System.in;
    OutputStream outputStream = System.out;
    InputReader in = new InputReader(inputStream);
    OutputWriter out = new OutputWriter(outputStream);
    TaskC solver = new TaskC();
    solver.solve(1, in, out);
    out.close();
  }

  static class TaskC {
    public void solve(int testNumber, InputReader in, OutputWriter out) {
      int N = in.nextInt();

      int odd = 1;
      int even = 2;

      for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
          if (Math.abs(i - N / 2) + Math.abs(j - N / 2) <= N / 2) {
            out.print(odd);
            odd += 2;
          } else {
            out.print(even);
            even += 2;
          }
          if (j < N - 1) {
            out.print(" ");
          } else {
            out.println();
          }
        }

      }
    }

  }

  static class OutputWriter extends PrintWriter {
    public OutputWriter(OutputStream stream) {
      super(stream);
    }

    public OutputWriter(Writer writer) {
      super(writer);
    }

  }

  static class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;
    public String cache;

    public InputReader(InputStream stream) {
      reader = new BufferedReader(new InputStreamReader(stream), 32768);
      tokenizer = null;
      cache = null;
    }

    private String nextNoCache() {
      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
        tokenizer = new StringTokenizer(nextLine());
      }
      return tokenizer.nextToken();
    }

    public String nextLine() {
      try {
        return reader.readLine();
      } catch (IOException e) {
        throw new RuntimeException(e);
      }
    }

    public String next() {
      if (cache != null) {
        String next = cache;
        cache = null;
        return next;
      } else {
        return nextNoCache();
      }
    }

    public int nextInt() {
      return Integer.parseInt(next());
    }

  }
}