Practice Logic and 2D array with the exercise "Tile a Floor Differently"

Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Statement

Goal

You saw the success your brother had as a manufacturer and installer of Floor-Tiles in the original “Tile a Floor” puzzle. So you start a rival business doing something similar but different, specializing in what you call the bdpq-effect.

The beauty of Tiles comes from their symmetry, in that the quadrants of a Tile are mirror/reflections of each other.

So, when you get an order for a Tile, only the pattern of the top left quadrant is the input.
Graphically explained here:


☑☑☑☐☐☐
☑☑☑☐☐☐
☑☑☑☐☐☐
☐☐☐☐☐☐
☐☐☐☐☐☐
☐☐☐☐☐☐

From that limited input, your task is to:
Create a full Tile
And display a 2x2 floor (i.e., a floor consisting of 4 of those Tiles)

Flip/Mirror patterns:
Generally, a character appearing in the first quadrant just replicates in the other quadrants.
However, your beautiful Tiles exploit the particular symmetry of:

b d
p q

and

\/
/\

For those, you'll want to put the proper reflected/flipped version in each quadrant.

Details:
➤ You only make square Tiles, where the side-length is an even number
➤ Each Tile is a square; the input therefore is also a square
➤ The input has a side-length of quarterSize; therefore the full Tile has a side-length of 2*quarterSize
➤ The full floor needs a grout border, and grout separating the individual Tiles. Grout is represented by - on top/bottom, | on left/right, and + on corners

Happy trowelling

Input

Line 1: An integer quarterSize, denoting the number of rows of Tile pattern in the top left quadrant
Next quarterSize lines: row of Tile pattern in the top left quadrant

Output

The entire floor

Constraints

3 ≤ quarterSize ≤ 7

Example

Input

3
  /
/b 
b

Output

+------+------+
|  /\  |  /\  |
|/b  d\|/b  d\|
|b    d|b    d|
|p    q|p    q|
|\p  q/|\p  q/|
|  \/  |  \/  |
+------+------+
|  /\  |  /\  |
|/b  d\|/b  d\|
|b    d|b    d|
|p    q|p    q|
|\p  q/|\p  q/|
|  \/  |  \/  |
+------+------+

Solve it

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