The Challenge

Your job is to, given input positive non-zero integer $n$, output an ASCII representation of the tiled Fibonacci squares up to the $n$th number of the Fibonacci sequence.

Rules

Input:

• Input will be an integer $n$ such that $n \gt 0$.

Output:

• Output will be an ASCII representation of the tiled Fibonacci squares, up until the $n$th Fibonacci number.

• For Fibonacci number $x$, its respective square will be $x$ characters tall and $x$ characters wide.

• Squares must be tiled so as to match the arrangement shown in the examples below. However, the output may be mirrored or rotated by multiples of $90^\circ$ as desired. The orientation may be changed based on the input.

• This challenge does include $0$ as a member of the Fibonacci sequence, so bear that in mind.

• For cases where $n$ is $1$ (and hence there aren't any squares to create), you may either output any number of whitespace characters or output nothing at all.

• Each square in the output must be represented by a grid made up of a unique ASCII character. For the characters forming your squares, you may use either the alphabet (either uppercase or lowercase, starting at a) or the digits 0-9 (starting at 0). You may reuse characters once you reach the end of the character sequence. You must use at least five unique characters.

• This is a code-golf challenge, so the code with the fewest bytes wins!

Examples

Here is an image of the proper way to tile Fibonacci squares:

^{Image source: Wikipedia}

Example 1

Input:
6
Output:
DDDCC
DDDCC
DDDAB
EEEEE
EEEEE
EEEEE
EEEEE
EEEEE

Explanation: The input is $5$, representing the first $5$ numbers of the Fibonacci sequence, which are $0$, $1$, $1$, $2$, $3$, and $5$. The first and second squares are $1 \times 1$ characters in size, and are represented by A and B, respectively. The third square is $2 \times 2$ characters in size, and is represented by C, and so on until we reach the fifth square.

Example 2

Input:
1
Output:

Explanation: The input is $1$, representing the first number of the Fibonacci sequence, which is $0$. Thus, nothing is outputted. Alternatively, any number of whitespace characters could be outputted.

Example 3

Input:
3
Output:
AB

Explanation: The input is $3$, representing the first $3$ numbers of the Fibonacci sequence, which are $0$, $1$, and $1$. Thus, we have two squares, each $1 \times 1$ characters in size. The first square is represented by A, the second by B.

posted 11 months ago

CC BY-SA 4.0

10mo ago

Sylvester‭

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