Suppose you are the sender of a message, 13, that is encoded using the public information that the modulus n = 35 and the other number is 5.

(a) What number do you send?

(b) Now suppose you are the receiver. How do you decode the message?

(c) Why does your process of decoding the message work?

(d) Suppose you were able to factor 35 and you knew the public numbers 5 and 35. Could you crack the code? How would you do it? Explain. (Note that 1 = 529 624, if that is relevant.)