Problem: Let a be a matrix of size r × c containing positive integers, not necessarily distinct. Rows of the matrix are numbered from 1 to r, columns are numbered from 1 to c. We can construct an array b consisting of r + c integers as follows: for each i ∈ [1, r], let b_i be the greatest common divisor of integers in the i-th row, and for each j ∈ [1, c] let b_{r+j} be the greatest common divisor of integers in the j-th column. 

We call the matrix diverse if all r + c numbers b_k (k ∈ [1, r + c]) are pairwise distinct. 

The magnitude of a matrix equals to the maximum of b_k.

For example, suppose we have the following matrix:

\begin{pmatrix} 2 & 9 & 7\\\ 4 & 144 & 84 \end{pmatrix} 

We construct the array b:

  1. b_1 is the greatest common divisor of 2, 9, and 7, that is 1; 
  2. b_2 is the greatest common divisor of 4, 144, and 84, that is 4; 
  3. b_3 is the greatest common divisor of 2 and 4, that is 2; 
  4. b_4 is the greatest common divisor of 9 and 144, that is 9; 
  5. b_5 is the greatest common divisor of 7 and 84, that is 7. 



So b = [1, 4, 2, 9, 7]. All values in this array are distinct, so the matrix is diverse. The magnitude is equal to 9.

For a given r and c, find a diverse matrix that minimises the magnitude. If there are multiple solutions, you may output any of them. If there are no solutions, output a single integer 0. 

Input

The only line in the input contains two space separated integers r and c (1 ≤ r,c ≤ 500) — the number of rows and the number of columns of the matrix to be found.

Output

If there is no solution, output a single integer 0.

Otherwise, output r rows. The i-th of them should contain c space-separated integers, the j-th of which is a_{i,j} — the positive integer in the i-th row and j-th column of a diverse matrix minimizing the magnitude.

Furthermore, it must hold that 1 ≤ a_{i,j} ≤ 10^9. It can be shown that if a solution exists, there is also a solution with this additional constraint (still having minimum possible magnitude).

Examples

Input


2 2


Output


4 12
2 9

Input


1 1


Output


0

Note

In the first example, the GCDs of rows are b_1 = 4 and b_2 = 1, and the GCDs of columns are b_3 = 2 and b_4 = 3. All GCDs are pairwise distinct and the maximum of them is 4. Since the GCDs have to be distinct and at least 1, it is clear that there are no diverse matrices of size 2 × 2 with magnitude smaller than 4.

In the second example, no matter what a_{1,1} is, b_1 = b_2 will always hold, so there are no diverse matrices.

Solution (in JAVA):

Solution:
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.Writer;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.*;
import java.io.*;
import java.math.*;
public class Main7{

static class Pair
    { 
        int x;
		int y;
		public Pair(int x, int y) 
        {     
            this.x=x;
			this.y=y;
		}     
        
    @Override
            public int hashCode() 
            { 
                final int temp = 14; 
                int ans = 1; 
                ans =x*31+y*13; 
                return ans; 
            } 
      
            // Equal objects must produce the same 
            // hash code as long as they are equal 
        @Override
        public boolean equals(Object o) 
        { 
            if (this == o) { 
                return true; 
            } 
            if (o == null) { 
                return false; 
            } 
            if (this.getClass() != o.getClass()) { 
                return false; 
            } 
            Pair other = (Pair)o; 
            if (this.x != other.x || this.y!=other.y) { 
                return false; 
            } 
            return true; 
        } 
            
    } 
static class Pair1{
	int x;
	int y;
	long z;
	Pair1(int x, int y, long z)
	{
		this.x=x;
		this.y=y;
		this.z=z;
	}
}
    
    public static long pow(long a, long b)
    {
        long result=1;
        while(b>0)
        {
            if (b % 2 != 0)
            {
                result=(result*a)%1000000007;
                b--;
            } 
            a=(a*a)%1000000007;
            b /= 2;
        }   
        return result;
    }
    public static long fact(long num)
    {
                long value=1;
                long i=1;
                for(i=2;i<=num;i++)
                {
                    value=((value)*(long)i);
                }
                return value;
            }
            public static long gcd(long a, long b)
            {
                if (a == 0)
                    return b;
                return gcd(b%a, a);
            }
            
    /*        public static long lcm(long a,long b)
            {
                return a * (b / gcd(a, b));
            }
        */    public static long sum(int h)
            {
                return (h*(h+1)/2);
            }
      /*     public static void dfs(int parent,boolean[] visited)
            {
                ArrayList<Integer> arr=new ArrayList<Integer>();
                arr=graph.get(parent);
				ts.add(parent);
                visited[parent]=true;
                for(int i=0;i<arr.size();i++)
                {
                    int num=(int)arr.get(i);
                    if(visited[num]==false)
                    {
                        dfs(num,visited);
                    }
                }
            }
			static ArrayList<Integer> ts;
            static int[] dis;*/
            static int mod=1000000007;
            static ArrayList<ArrayList<Integer>> graph;
            static ArrayList<ArrayList<Integer>> g;
            
       /*    public static void bfs(int num,int size)
            {
                boolean[] visited=new boolean[size+1];
                Queue<Integer> q=new LinkedList<>();
                q.add(num);
                ans[num]=1;
                visited[num]=true;
                while(!q.isEmpty())
                {
                    int x=q.poll();
                    ArrayList<Integer> al=graph.get(x);
                    for(int i=0;i<al.size();i++)
                    {
                        int y=al.get(i);    
                        if(visited[y]==false)
                        {
                            q.add(y);
                            ans[y]=ans[x]+1;
                            visited[y]=true;
                        }
                    }
                }
            }
			
            static int[] ans;*/
			static public void main(String args[])throws IOException
            {
				int t=1;
				StringBuilder sb=new StringBuilder();
				while(t-->0)
				{
					int r=i();
					int c=i();
					if(r==1 && c==1)
					{
						pln("0");
					}
					else if(r==1)
					{
						long[][] a=new long[r][c];
						int k=2;
						for(int i=0;i<c;i++)
							a[0][i]=k++;
						for(int i=0;i<r;i++)
						{
							for(int j=0;j<c;j++)
							{
								System.out.print(a[i][j]+" ");
							}
							pln("");
						}
					}
					else if(c==1)
					{
						long[][] a=new long[r][c];
						int k=2;
						for(int i=0;i<r;i++)
							a[i][0]=k++;
						for(int i=0;i<r;i++)
						{
							for(int j=0;j<c;j++)
							{
								System.out.print(a[i][j]+" ");
							}
							pln("");
						}
					}
					else
					{
						long[][] a=new long[r][c];
						int k=2;
						for(int j=0;j<r;j++)
						{
							a[j][0]=k;
							k++;
						}
						int start_for_col=k;
						for(int i=1;i<c;i++)
						{
							for(int j=0;j<r;j++)
							{
								a[j][i]=a[j][0]*k;
							}
							k++;
						}
						for(int i=0;i<r;i++)
						{
							for(int j=0;j<c;j++)
							{
								System.out.print(a[i][j]+" ");
							}
							pln("");
						}
					}
				}
				System.out.print(sb.toString());
			}
			

            /**/
            static InputReader in=new InputReader(System.in);
                static OutputWriter out=new OutputWriter(System.out);
                public static long l()
                {
                    String s=in.String();
                    return Long.parseLong(s);
                }
                public static void pln(String value)
                {
                    System.out.println(value);
                }
                public static int i()
                {
                    return in.Int();
                }
                public static String s()
                {
                    return in.String();
                }
    }
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
         
        class InputReader {
             
            private InputStream stream;
            private byte[] buf = new byte[1024];
            private int curChar;
            private int numChars;
            private SpaceCharFilter filter;
         
            public InputReader(InputStream stream) {
                this.stream = stream;
            }
         
            public int read() {
                if (numChars== -1)
                    throw new InputMismatchException();
                if (curChar >= numChars) {
                    curChar = 0;
                    try {
                        numChars = stream.read(buf);
                    } catch (IOException e) {
                        throw new InputMismatchException();
                    }
                    if (numChars <= 0)
                        return -1;
                }
                return buf[curChar++];
            }
         
            public int Int() {
                int c = read();
                while (isSpaceChar(c))
                    c = read();
                int sgn = 1;
                if (c == '-') {
                    sgn = -1;
                    c = read();
                }
                int res = 0;
                do {
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    res *= 10;
                    res += c - '0';
                    c = read();
                } while (!isSpaceChar(c));
                return res * sgn;
            }
         
            public String String() {
                int c = read();
                while (isSpaceChar(c))
                    c = read();
                StringBuilder res = new StringBuilder();
                do {
                    res.appendCodePoint(c);
                    c = read();
                } while (!isSpaceChar(c));
                return res.toString();
            }
         
            public boolean isSpaceChar(int c) {
                if (filter != null)
                    return filter.isSpaceChar(c);
                return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
            }
         
            public String next() {
                return String();
            }
         
            public interface SpaceCharFilter {
                public boolean isSpaceChar(int ch);
            }
        }
         
        class OutputWriter {
            private final PrintWriter writer;
         
            public OutputWriter(OutputStream outputStream) {
                writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
            }
         
            public OutputWriter(Writer writer) {
                this.writer = new PrintWriter(writer);
            }
         
            public void print(Object...objects) {
                for (int i = 0; i < objects.length; i++) {
                    if (i != 0)
                        writer.print(' ');
                    writer.print(objects[i]);
                }
            }
         
            public void printLine(Object...objects) {
                print(objects);
                writer.println();
            }
         
            public void close() {
                writer.close();
            }
         
            public void flush() {
                writer.flush();
            }
         
            }
         
            class IOUtils {
         
            public static int[] readIntArray(InputReader in, int size) {
                int[] array = new int[size];
                for (int i = 0; i < size; i++)
                    array[i] = in.Int();
                return array;
            }
         
            }