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 create_field():
    user = input().split()
    column = int(user[0])
    row = int(user[1])
    if row >= 3 and row <= 50:
        pass
    else:
        create_field()

    board = []
    snake_body = 0
    counter = 0
    if column > row:
        snake_body = column
    elif row > column:
        snake_body = row
    elif row == column:
        snake_body = row

    for i in range(1, snake_body):
        board.append(int(i))

    while column != 0:
        if column %2 != 0:
            print("#"*row)
            column -= 1
        elif column%2 == 0:
            if board[counter]%2 != 0:
                print("."*int(row - 1) + "#")
                column -= 1
                counter +=1
            elif board[counter]%2 == 0:
                print("#", end="")
                print("."*int(row-1))
                column -= 1
                counter +=1



create_field()