Problem $7.($Keygen Program$)$ Write a program called

keygen.py that accepts lo $($int$)$ and $hi($int$)$ as command$-$line arguments, generates public$/$private keys $(n,e,d),$ and writes the keys to standard output, separated by a space. The interval $[lo,hi)$ specifies the interval from which prime numbers $p$ and $q$ needed to generate the keys are picked.Problem $8.($Encryption Program$)$ Write a program called encrypt.py that accepts the public$-$key n $($int$)$ and e $($int$)$ as command$-$line arguments and a message to encrypt from standard input, encrypts each character in the message, and writes its fixed$-$width binary representation to standard output.Problem $9.($Decryption Program$)$ Write a program called decrypt.py that accepts the private$-$key n $($int$)$ and d $($int$)$ as command$-$line arguments and a message to decrypt $($produced by encrypt.py$)$ from standard input, decrypts each character $($represented as a fixed$-$width binary sequence$)$ in the message, and writes the decrypted character to standard output.Data: Be sure to test your programs thoroughly using files provided under the data folder. For example: