CF510A 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

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