Hi,

I am a fourth-year *ICT Engineering student* from Tunisia (our program 
lasts five years) and I am interested in the q- and qt-characters 
implementation project. I find this project very interesting because it 
focuses on engineering, understanding the theory and finding an optimized 
implementation, instead of being only theoretical or research-based.
After studying the subject briefly through research papers and discussing 
it with ChatGPT, I have created an initial plan for representing q- and 
qt-characters.

*Class Diagram:*
Monomial Class: This class will define the mathematical operations as they 
are described in algebra.
Character Class: This class will include a collection of Monomials (that 
is, a sum of Monomials).

*Implementation Strategy:*
I plan to represent operations using a graph where each *node *represents a 
monomial. A combinatorial operation will then be implemented by traversing 
this graph. I intend to use *DFS *because it allows me to add DP techniques 
to reduce computation and memorize previous computations.

For qt-characters, I will extend the Monomial class using inheritance to 
add the extra grading factor.

Please note that I completed my studies in French, so I sometimes find it 
difficult to express mathematical ideas in English.

I would like to ask: Even though I am not a PhD candidate or an expert in 
advanced mathematics, I have completed two years of pre-engineering. This 
has given me a solid foundation to understand the necessary mathematical 
concepts.

Do you think my background qualifies me for this project ? 
I am happy to discuss the details further if I am eligible.

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