Specifications:

In this project, you are required to write the java program $$RSA$.$java$$ to implement RSA.

Specifically, your program reads the parameters, plaintext and ciphertext from a file named

$$input$.$txt$($under the same directory of the program$).$ Then your program computes the private

key, encrypts the plaintext, and decrypts the ciphertext. Finally, your program creates a file

named $$output$.$txt$($under the same directory of the program$)$ and writes the results to

$$output$.$txt$.$ Please check the attached sample files $$input$.$txt$$ and $$output$.$txt$.$

In $$input$.$txt$$:

$1.$ First line is a prime number p$,$ represented by hexadecimal digits.

$2.$ Second line is another prime number q$,$ represented by hexadecimal digits.

$3.$ Third line is a randomly selected integer e$,$ represented by hexadecimal digits, satisfying

GCD$($e$,$

$($n$))=1$ where n $=$ p $*$ q$.$

$4.$ Fourth line is the plaintext, represented by hexadecimal digits.

$5.$ Fifth line is the ciphertext, represented by hexadecimal digits.

In $$output$.$txt$$:

$1.$ First line is d$,$ represented by hexadecimal digits, satisfying d $=$ e$1$ mod

$($n$).$

$2.$ Second line is the ciphertext, presented by hexadecimal digits, which is the encryption

result of the plaintext in input.txt$.$

$3.$ Third line is the plaintext, presented by hexadecimal digits, which is the decryption result of the ciphertext in input.txt

It will be tested using command line.

First, the files $$input$.$txt$$ and $$RSA$.$java$$ will be placed under the same directory $($A new

input.txt$$ file which is different than the sample data will be used to test your program$)$