1. Let's consider the following setup for El-Gamal cryptosystem:

A prime number P= 199picked up and a generator for this prime number g = 15is selected.

The receiver chooses his/her secret key x =[(2022 +12 + 18 + 30125556) * 2] mod 197

If x = 0/1, then update x = 83

The sender wants to send the message m = 13using his/her random exponent

k =[int (2022 +12 + 18 + 30125556) / 3] mod 197

If k = 0/1, then update k = 97

1. What would be the receiver's public key?
2. What would be the ciphertext computed by the sender?
3. Finally, verify that decryption by the receiver successfully recovers the message.