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

#########
........#
#########
#........
#########
........#
#########
#........
#########
r,c=map(int,input().split())
grid=[['.' for _ in range(c)] for _ in range(r)]
movingright=True
i,j=0,0
while(i<r and j<c):
    if(movingright):
        while(j<c):
            grid[i][j]='#'
            j+=1
        j=c-1
        if(i+1<r):
            grid[i+1][j]='#'
        else:
            break
        i+=2
        movingright=False
    else:
        while(j>=0):
            grid[i][j]='#'
            j-=1
        j=0
        if(i+1<r):
            grid[i+1][j]='#'
        else:
            break
        i+=2
        movingright=True
for i in grid:
    for j in i:
        print(j,end='')
    print()
        
        
