Let the two primes p = 41 and q = 17 be given as set-up parameters for RSA. a. Which of the parameters e_1 = 32, e_2 = 49 is a valid RSA exponent? Justify your choice. b. Compute the corresponding private key Kpr = (p, q, d). Use the extended Euclidean algorithm for the inversion and point out every calculation step. c. Using the encryption key, encrypt the message M = 26. d. Using the private key and the Chinese remainder theory (CRT) decrypt the cipher C = 513. Show all your calculation steps