Problem: Petya studies positional notations. He has already learned to add and subtract numbers in the systems of notations with different radices and has moved on to a more complicated action — multiplication. To multiply large numbers one has to learn the multiplication table. Unfortunately, in the second grade students learn only the multiplication table of decimals (and some students even learn it in the first grade). Help Petya make a multiplication table for numbers in the system of notations with the radix k.

Input

The first line contains a single integer k (2 ≤ k ≤ 10) — the radix of the system.

Output

Output the multiplication table for the system of notations with the radix k. The table must contain k - 1 rows and k - 1 columns. The element on the crossing of the i-th row and the j-th column is equal to the product of i and j in the system of notations with the radix k. Each line may have any number of spaces between the numbers (the extra spaces in the samples are put for clarity).

Examples

Input

10


Output

1  2  3  4  5  6  7  8  9
2  4  6  8 10 12 14 16 18
3  6  9 12 15 18 21 24 27
4  8 12 16 20 24 28 32 36
5 10 15 20 25 30 35 40 45
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81


Input

3


Output

1  2
2 11

Solution (in JAVA):

Solution:

import java.io.*;
import java.math.BigInteger;
import static java.math.BigInteger.*;
import java.util.*;


public class Solution{
    
    void solve()throws Exception
    {
        int k=nextInt();
        for(int i=1;i<=k-1;i++)
            for(int j=1;j<=k-1;j++)
            {
                String s=(valueOf(i*j)).toString(k);
                if(j==k-1)
                    System.out.println(s);
                else
                    System.out.print(s+" ");
            }
    }



    BufferedReader reader;
    StringTokenizer stk;
    void run()throws Exception
    {
        reader=new BufferedReader(new InputStreamReader(System.in));
        stk=null;
        solve();
        reader.close();
    }
    int nextInt()throws Exception
    {
        return Integer.parseInt(nextToken());
    }
    long nextLong()throws Exception
    {   
        return Long.parseLong(nextToken());
    }
    double nextDouble()throws Exception
    {       
        return Double.parseDouble(nextToken());
    }
    String nextString()throws Exception
    {
        return nextToken();
    }
    String nextLine()throws Exception
    {
        return reader.readLine();
    }
    String nextToken()throws Exception
    {
        if(stk==null || !stk.hasMoreTokens())
        {
            stk=new StringTokenizer(nextLine());
            return nextToken();
        }
        return stk.nextToken();
    }
    
    public static void main(String[]a) throws Exception
    {   
        new Solution().run();

    }
    
            
    
}