Write a program to simulate the Enigma cipher. Use your program to answer the following questions, where the rotor and reflector permutations are known to be where Re is the left rotor, Rm is the...

Write a program to simulate the Enigma cipher. Use your program to answer the following questions, where the rotor and reflector permutations are known to be

where Re is the left rotor, Rm is the middle rotor, R,. is the right rotor, and T is the reflector. The "notch" that causes the odometer effect is at position Q for R_e, V for R_m, and J for R_r. For example, the middle rotor steps when the right rotor steps from V to W.

a. Recover the initial rotor settings given the following matched plaintext and ciphertext.

b. Recover as many of the stecker settings as is possible from the known plaintext.