$2)$ Roman Reverse Captcha

See the CTF system for the exercise description. Remember, if you are stuck, WireShark is your friend.

A full submission includes:

a$.$ Three submitted flags in the CTF system.

b$.$ Source code of the program that passes the tests of the

Question $2$: Romans.Roman Reverse Captcha

The year is $2084$ A$.$D$.$ Gaul is entirely occupied by Roman robots. Well, not entirely... One small village of indomitable Gauls still holds

out against the invaders.

To predict the next attack of the Romans, Heiner Bernadino and his friend Socketix want to penetrate the secret system of the robot

army on port $8002.$ However, this system is protected by sophisticated security mechanisms: To obtain access, the duo needs to

demonstrate their superhuman numeracy skills.

Help Heiner Bernadino and Socketix by developing a TCP client that passes the tests of the Romans!