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

#########
........#
#########
#........
#########
........#
#########
#........
#########
def michi(m):
    b=''
    for i in range(m):
        b+='#'
    print b
    
b=[]
b.append([0]*2)
temp=raw_input();
b=temp.split()
for i in range(2):
    b[i]=int(b[i])
j=1
for i in range(b[0]):
    if(i%2==0):
        michi(b[1])
    else:
        if(j%2!=0):
            c=''
            for k in range(b[1]-1):
                c += '.'
            c+='#'
            print c
            j+=1
        else:
            c='#'            
            for k in range(b[1]-1):
                c += '.'
            print c   
            
            j+=1

        
    

        
    
    
