Fibonascii Squares [FINALIZED]
Finalized: Fibonascii Squares
The Challenge
Your job is to, given input positive nonzero 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.

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 09 (starting at0
). You may reuse characters once you reach the end of the character sequence. You must use at least five unique characters. 
This is a codegolf 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:
5
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
.
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