Problem: Levko loves tables that consist of n rows and n columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals k.

Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them. 

Input

The single line contains two integers, n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1000).

Output

Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.

If there are multiple suitable tables, you are allowed to print any of them.

Examples

Input

2 4


Output

1 3
3 1


Input

4 7


Output

2 1 0 4
4 0 2 1
1 3 3 0
0 3 2 2

Note

In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.

In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class CF361A_LevkoAndTable {
    private void solve() {
        int n = readInt();
        int k = readInt();

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                if (i == j)
                    out.print(k + " ");
                else
                    out.print(0 + " ");
            }
            out.println();
        }
    }

    public static void main(String[] args) {
        new CF361A_LevkoAndTable().run();
    }

    private void run() {
        try {
            init();
            solve();
            out.close();
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(-1);
        }
    }

    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");

    private void init() throws IOException {
        String filename = "";
        if (filename.isEmpty()) {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        } else {
            in = new BufferedReader(new FileReader(filename + ".in"));
            out = new PrintWriter(new FileWriter(filename + ".out"));
        }
    }

    private String readString() {
        while (!tok.hasMoreTokens()) {
            try {
                tok = new StringTokenizer(in.readLine());
            } catch (Exception e) {
                return null;
            }
        }

        return tok.nextToken();
    }

    private int readInt() {
        return Integer.parseInt(readString());
    }

    private long readLong() {
        return Long.parseLong(readString());
    }

    private double readDouble() {
        return Double.parseDouble(readString());
    }
}