A9862. Fox And Snake

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.

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

$n$ is an odd number.

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