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 PYTHON3):

Solution:

import sys,os,io
from sys import stdin
from math import log, gcd, ceil
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop
from bisect import bisect_left , bisect_right
import math 


alphabets = list('abcdefghijklmnopqrstuvwxyz')


def isPrime(x):
    for i in range(2,x):
        if i*i>x:
            break
        if (x%i==0):
            return False
    return True
def ncr(n, r, p):  
    num = den = 1
    for i in range(r):
        num = (num * (n - i)) % p
        den = (den * (i + 1)) % p
    return (num * pow(den,
                      p - 2, p)) % p
def primeFactors(n): 
    l = []
    while n % 2 == 0: 
        l.append(2)
        n = n / 2
    for i in range(3,int(math.sqrt(n))+1,2): 
        while n % i== 0: 
            l.append(int(i))
            n = n / i 
    if n > 2: 
        l.append(n)
    return list(set(l))
def power(x, y, p) : 
	res = 1
	x = x % p 
	if (x == 0) : 
		return 0
	while (y > 0) : 
		if ((y & 1) == 1) : 
			res = (res * x) % p 
		y = y >> 1	 # y = y/2 
		x = (x * x) % p 		
	return res 
def SieveOfEratosthenes(n):
    prime = [True for i in range(n+1)]
    p = 2
    while (p * p <= n):
        if (prime[p] == True):
            for i in range(p * p, n+1, p):
                prime[i] = False
        p += 1
    return prime
def countdig(n):
    c = 0
    while (n > 0):
        n //= 10
        c += 1
    return c
def si():
    return input()
def prefix_sum(arr):
    r = [0] * (len(arr)+1)
    for i, el in enumerate(arr):
        r[i+1] = r[i] + el
    return r
def divideCeil(n,x):
    if (n%x==0):
        return n//x
    return n//x+1
def ii():
    return int(input())
def li():
    return list(map(int,input().split()))
def ws(s): sys.stdout.write(s + '\n')
def wi(n): sys.stdout.write(str(n) + '\n')
def wia(a): sys.stdout.write(' '.join([str(x) for x in a]) + '\n')
def power_set(L):
    """
    L is a list.
    The function returns the power set, but as a list of lists.
    """
    cardinality=len(L)
    n=2 ** cardinality
    powerset = []
    
    for i in range(n):
        a=bin(i)[2:]
        subset=[]
        for j in range(len(a)):
            if a[-j-1]=='1':
                subset.append(L[j])
        powerset.append(subset)
        
    #the function could stop here closing with
    #return powerset

    powerset_orderred=[]
    for k in range(cardinality+1):
        for w in powerset:
            if len(w)==k:
                powerset_orderred.append(w)
        
    return powerset_orderred
def fastPlrintNextLines(a):
    # 12
    # 3
    # 1
    #like this
    #a is list of strings
    print('\n'.join(map(str,a)))

def sortByFirstAndSecond(A):
    A = sorted(A,key = lambda x:x[0])
    A = sorted(A,key = lambda x:x[1])
    return list(A)

#__________________________TEMPLATE__________________OVER_______________________________________________________


if(os.path.exists('input.txt')):
    sys.stdin = open("input.txt","r") ; sys.stdout = open("output.txt","w") 
# else:
#     input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
t = 1
# t = int(input())
for _ in range(t):
    r,c = li()
    if r==1 and c==1:
        print(0)
        continue
    
    if c==1:
        for i in range(2,r+2):
            print(i)
        continue
    l = [[0 for i in range(c)] for j in range(r)]
    for i in range(r):
        for j in range(c):
            l[i][j] = (i+1)*(j+r+1)
    for i in l:
        print(*i)