You must type your answers in a word processing system and create a PDF$.$ We will not accept handwritten and scanned or photographed answers. Please submit your PDF on Blackboard. The maximum mark you can get is $10.$ The deadline for these exercises is in Week $14,2024.$ This assignment consists of two programming exercises, we prefer to use Python or Java. In the first exercise, you are required to learn how to design and implement RSA. For the second one, you have to learn how to find a collision on a Hash Function. Exercise $1$: Design and implement a simple package based on the RSA algorithm to provide encrypting$/$decrypting and digital signature signing and verifying. a$.$ Generate two prime numbers: p and q$.$ b$.$ Miller Rabin: to test the prime number. c$.$ Euclids algorithm: to find the encryption key $($e$)$ d$.$ Extended Euclids algorithm $($EEA$)$: to find the decryption key $($d$).$ e$.$ choose any hash function which is available as free source. f$.$ A main method to show different usage of RSA including dialogues between two parties $($Alice and Bob$)$ that reflect encrypting$/$decrypting and digital signature signing and verifying. g$.$ Combine all of the above in a GUI model to test the functions.