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,m = list(map(int,input().split()))

fromLeft = False
j = 0
while (j<n):
    if(j%2 == 0):
        k = 0
        while(k<m):
            if(k != m-1):
                print('#',end='')
                k += 1
            else:
                print('#')
                k+= 1
                j+= 1
    else:
        if(fromLeft == False):
            k = 0
            while(k<m):
                if(k != m -1):
                    print('.',end='')
                    k += 1
                else:
                    fromLeft = True
                    print('#')
                    k += 1
                    j+= 1
        else:
            k =0
            while(k<m):
                if( k == 0):
                    print('#',end ='')
                    k += 1
                else:
                    if(k != m- 1):
                        print('.',end='')
                        k += 1
                    else:
                        print('.')
                        fromLeft = False
                        k+= 1
                        j+= 1
                
