Задача 42230. Large chess board

The tiles are aligned to N horizontal rows and N vertical columns. Each tile has a grid with A horizontal rows and B vertical columns. All tiles form a X square with (A×N) horizontal lines and (B×N) in vertical columns.
For 1<= i, j<= N tile (i , j) designates the tile in the i-th row from the top and the j-th column from the left.

Each X square is colored as follows.

• Each tile is either a white tile or a black tile.
• Each square in a white tile is colored white; each square in a black tile is colored black.
• Tile (1, 1) is a white tile.
• The two tiles that share the same side have different colors. Tile (a, b) and tile (c, d), have one common side if and only if |a-c|+|b-d|=1 (where |x| denotes the absolute value of < code>x).

Print the X square in the format specified in format.

Input
The program receives three integers as input: N, A, B (1 <= N, A, B <= 10).

Imprint
Print (A×N) strings S1,...,SAxN that satisfy the following conditions.
Each of the strings S1,...,SAxN is a string of length (B× N) consisting of . and #.
For each value i and j (1<= i <= A×N,1 <= j <= B×N) jth character of the string Si is the character . if the square is in the ith string top and left j-th column in X square is colored white; symbol # if the square is black.
 
 

Examples

#	Input	Output
1	4 3 2	..##..## ..##..## ..##..## ##..##.. ##..##.. ##..##.. ..##..## ..##..## ..##..## ##..##.. ##..##.. ##..##..
2	5 1 5	.....#####.....#####..... #####.....#####.....##### .....#####.....#####..... #####.....#####.....##### .....#####.....#####.....
3	4 4 1	.#.# .#.# .#.# .#.# #.#. #.#. #.#. #.#. .#.# .#.# .#.# .#.# #.#. #.#. #.#. #.#.
4	1 4 4	.... .... .... ....