A higher resolution is required to access the IDE

- 45

## 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 theThe 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:

andb d p q

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

Happy trowelling

Input

**Line 1**: An integer

`quarterSize`, denoting the number of rows of Tile pattern in the top left quadrant

**Next**row of Tile pattern in the top left quadrant

`quarterSize`lines:Output

The entire floor

Constraints

3 ≤

`quarterSize`≤ 7Example

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/| | \/ | \/ | +------+------+

A higher resolution is required to access the IDE