Please Solve this and give me the solution. Do not just give me explanations on how to solve it$,$ and please solve all parts. Please don$$t use ChatGPT.

When you cryptanalyze a ciphertext message:

Determine the type of cipher, if you can.

Determine as much of the key as you can.

Recover as much of the plaintext message as you can.

Explain. Explain. Explain. Explain. Explain. $...$

You may:

Use software, notes, or tables that are posted on Canvas.

Use Mathematica.

Use a calculator.

Work by hand.

Use software that you wrote.

You may not use other software than that mentioned above.

Question:

RSA signature.

I am going to use a naive RSA signature to $$sign$$ a document.

My public key is:

Modulus $4775835805966658107567420782427$

Exponent $5$

My signature is $783822669722214668477968834300$

Show that I signed the document. Use a$=00,$ b$=01,$ c$=02,...,$ z$=25.$