Problem: While resting on the ship after the "Russian Code Cup" a boy named Misha invented an interesting game. He promised to give his quadrocopter to whoever will be the first one to make a rectangular table of size n × m, consisting of positive integers such that the sum of the squares of numbers for each row and each column was also a square.

Since checking the correctness of the table manually is difficult, Misha asks you to make each number in the table to not exceed 108.

Input

The first line contains two integers n and m (1 ≤ n, m ≤ 100) — the size of the table. 

Output

Print the table that meets the condition: n lines containing m integers, separated by spaces. If there are multiple possible answers, you are allowed to print anyone. It is guaranteed that there exists at least one correct answer.

Examples

Input

1 1


Output

1

Input

1 2


Output

3 4

Solution (in JAVA):

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

public class Table_va_best implements Runnable {
    public static void main(String[] args) {
        new Thread(new Table_va_best()).run();
    }

    BufferedReader br;
    StringTokenizer in;
    PrintWriter out;

    public String nextToken() throws IOException {
        while (in == null || !in.hasMoreTokens()) {
            in = new StringTokenizer(br.readLine());
        }

        return in.nextToken();
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    public double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    public int[] get(int n) {
        if (n == 1) {
            return new int[]{1};
        }
        if (n == 2) {
            return new int[]{3, 4};
        }

        int[] ans = new int[n];
        Arrays.fill(ans, 1);

        if (n % 2 == 1) {
            ans[0] = 2;
            ans[n - 1] = (n + 1) / 2;
        } else {
            ans[n - 1] = (n - 2) / 2;
        }
        return ans;
    }

    public void solve() throws IOException {
        int n = nextInt();
        int m = nextInt();

        int[] a = get(n);
        int[] b = get(m);

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                out.print(a[i] * b[j] + " ");
            }
            out.println();
        }

        // System.err.println(a[n - 1].multiply(a[m - 1]).toString().length());
    }

    public void run() {
        try {
            br = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);

            solve();

            out.close();
        } catch (IOException e) {
            e.printStackTrace();
            System.exit(1);
        }
    }
}