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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 quarterSize lines: row 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/| | \/ | \/ | +------+------+
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