Give DFA’s accepting languages over the alphabet Σ = {0, 1, 2, 3, 5}: (a) the set of all strings beginning with a 1, 3 or 5, that, when the string is interpreted as an integer in base 9, is a multiple of 5 plus 2. For example: • strings 13,30

I am looking for a freelancer to create a Deterministic Finite Automaton (DFA) that accepts languages over the alphabet Σ = {0, 1, 2, 3, 5}. The DFA should fulfill the following criteria:

Set of all strings beginning with a 1, 3 or 5:
- The DFA should only accept strings that start with a 1, 3, or 5.

Interpreted as an integer in base 9:
- The string should be interpreted as an integer in base 9.

Multiple of 5 plus 2:
- The interpreted integer should be a multiple of 5 plus 2.

Ideal Skills and Experience:
- Strong knowledge and experience in automata theory and DFA implementation.
- Proficiency in programming languages such as Python, Java, or C++.
- Understanding of number systems and mathematical operations.

Please note:
- This project is for personal use.
- I trust the freelancer's expertise and do not have any specific requirements or preferences for the implementation of the DFA.
- The timeline for this project is short-term, within a week.

If you have the required skills and experience, and can complete the project within the specified timeline, please submit your proposal.