Write two simple programs using OpenSSL library on Linux.

1) Create a simple program that generates 4096 bit RSA key
with public exponent 65537 and prints private and public output
to the screen.

Hints:
 - Use RSA_generate_key_ex() function.
 - Use PEM_read/write_PrivateKey or BIO based PEM_read/write_bio_PrivateKey
   (the same for public key).

2) Create a program that will connect to https port (443) of faculty
web server (www.fi.muni.cz) and prints the whole certification chain
info provided by server on standard output.

Hints:
 - You can modify 7_tls_client_openssl example.
 - Use X509_print_ex* function to print info (no need to parse separate items).
 - Print info about *all* (server and CA) certificates, not only the server one.

Deadline: November 7, 2018 (8:00 am), maximum is 5 (task 1) + 5 points (task 2).

Your submitted archive should contain *two* C programs above.

The source code must be compilable on the provided virtual machine (Linux Fedora)
or on aisa server.