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E. Chessboard

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputChessboard is a board of *n* × *n* squares arranged in two alternating colors (black and white). Top left square is white. You are given board size *n*. Output an image of a chessboard, with black and white squares marked with '#' and '.' characters, respectively.

Input

The only line of input contains an integer *n* (1 ≤ *n* ≤ 9).

Output

Output an image of *n* × *n* chessboard.

Examples

Input

4

Output

.#.#

#.#.

.#.#

#.#.

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