In a public-key system using RSA, you intercept the ciphertext 1. RSA C= 10 sent to...

In a public-key system using RSA, you intercept the ciphertext 1. RSA C= 10 sent to a user whose public key is {e = 5, n= 35}. Show all your work (either Math or Python) to answer the following two questions (not necessarily in that order): a) What is the plaintext M? Hint: with n 35, a brute force may save you headaches. b) What is the secret exponent d in the private key {d=?, n= 35}? 2. Key Exchange [Marks: 25%]. In a Diffie-Hellman scheme with a common prime q = 11 and a primitive root a = 2: a) If user A has public key YA = 9, what is A's private key'X? b) If user B has public key YB = 3, what is the secret key K, shared with A? Show all your work (either Math or Python). In a public-key system using RSA, you intercept the ciphertext 1. RSA C= 10 sent to a user whose public key is {e = 5, n= 35}. Show all your work (either Math or Python) to answer the following two questions (not necessarily in that order): a) What is the plaintext M? Hint: with n 35, a brute force may save you headaches. b) What is the secret exponent d in the private key {d=?, n= 35}? 2. Key Exchange [Marks: 25%]. In a Diffie-Hellman scheme with a common prime q = 11 and a primitive root a = 2: a) If user A has public key YA = 9, what is A's private key'X? b) If user B has public key YB = 3, what is the secret key K, shared with A? Show all your work (either Math or Python).