Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.

A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1, m), then goes down 2 rows to (3, m), then goes left to (3, 1) and so on.

Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').

Consider sample tests in order to understand the snake pattern.

Input

The only line contains two integers: n and m (3 ≤ n, m ≤ 50). 

n is an odd number.

Output

Output n lines. Each line should contain a string consisting of m characters. Do not output spaces.

Examples

Input

3 3


Output

###
..#
###


Input

3 4


Output

####
...#
####


Input

5 3


Output

###
..#
###
#..
###


Input

9 9


Output

#########
........#
#########
#........
#########
........#
#########
#........
#########
n=input()
l=n.split(' ')
s=[]
r=int(l[0])
c=int(l[1])
a=1
k=[]
for i in range(r):
    w=list()
    for j in range(c):
        if i%2==0:
            w.append('#')
        elif i%2!=0:
            if a==1:
                if j!=c-1:
                    w.append('.')
                elif j==c-1:
                    w.append('#')
                    a=0
                    continue
            if a==0:
                if j==0:
                    w.append('#')
                elif j!=c-1:
                    w.append(".")
                elif j==c-1:
                    w.append('.')
                    a=1
                    
                    
    s.append(w)
    
for i in range(r):
    for j in range(c):
        print (s[i][j],end='')
    print() 
            
            
            

        
