Solve the following using TOOL given below:

Encrypt the following plain text using key k = 7.
Plain Text : Lord Rama was a good king.
Given a plain text and its corresponding cipher text, find out the key used for the encryption of the plain text.

Plain Text : abcdefghijklmnopqrstuvwxyz
Cipher Text : TDNUCBZROHLGYVFPWIXSEKAMQJ
How many different keys are possible with an n-letter alphabet?
Given a cipher text, find out the corresponding plain text using brute force attack.
Cipher text : HAAHJR HA KHDU

TOOL

Plaintext:
the quick brown fox shift:

Ciphertext