For C $(.$c$),$ In this assignment you'll write a program that encrypts the alphabetic letters in a file using the Hill cipher where the Hill matrix can be any size from $2$ x $2$ up to $9$ x $9.$ Your program will take two command line parameters containing the names of the file storing the encryption key and the file to be encrypted. The program must generate output to the console $($terminal$)$ screen as specified below.

Command Line Parameters

$1.$ Your program must compile and run from the command line.

$2.$ The program executable must be named $$hw$1($all lower case, no spaces or file extension$).$

$3.$ Input the required file names as command line parameters. Your program may NOT prompt the user to enter the file names. The first parameter must be the name of the encryption key file, as described below. The second parameter must be the name of the file to be encrypted, as also described below. The sample run command near the end of this document contains an example of how the parameters will be entered.

$4.$ Your program should open the two files, echo the input to the screen, make the necessary calculations, and then output the ciphertext to the console $($terminal$)$ screen in the format described below.

Note: If the plaintext file to be encrypted doesn't have the proper number of alphabetic characters, pad the last block as necessary with the letter $\text{'}$X$\text{'}.($Yes$,$ this is different from what is in our class slides, but it is necessary for us to do this so we can know what outputs to expect for our test inputs. Program Submission Instructions: $$ You must submit your source code file $$ The source code file must be submitted in Webcourses from the assignment page $$ All source code must be in exactly one file of type $.$c$,.$cpp$,$ or $.$java

Encryption Key File Format

The encryption key file will store a single positive integer, n $(1<$ n $<10),$ on the first line, indicating the number of rows and columns in the encryption matrix. The following n lines will contain the contents of each row, in order, of the encryption matrix, separated by spaces.

Format of the File to be Encrypted

The file to be encrypted can be any valid text file with no more than $9991$ letters in it$.($Thus$,$ it's safe to store all characters in the file in a character array of size $10000,$ including any padding characters.$)$ Please note that the input text file will also generally have punctuation, numbers, special characters, and whitespace in it$,$ which should be ignored. You should also ignore whether a letter is uppercase or lowercase in the input file. Thus, you should treat $$A$$ and $$a$$ the same in your program.

Output Format

The program must output the following to the console $($terminal$)$ screen:

$1.$ Echo the input key file

$2.$ Echo the input plaintext file

$3.$ Ciphertext output produced from running the cipher against the input plaintext file.

The ciphertext output portion should consist of only lowercase letters in rows of exactly $80$ letters per row, except for the last row, which may possibly have fewer. These characters should correspond to the ciphertext produced by encrypting all the letters in the input file. Please note that only the alphabetic letters in the input plaintext file will be encrypted. All other characters should be ignored.

What to Turn In over WebCourses

You must submit this assignment in the form specified at the top of this assignment.

Program Notes and Hints

Your program must read in an input plaintext file that may contain uppercase letters, lowercase letters and non$-$letter characters. Your program must distinguish between these three groups so that only the letters get encrypted. All non$-$letter characters in the file are simply skipped and not counted as part of the plaintext. Please note that although both upper case and lower case letters will be encrypted, your program should not treat them differently, that is$,$ the program should process an upper case input letter the same as the corresponding lower case letter, i$.$e$.,$ it should treat an $$A$$ the same as an $$a$.$

One possible breakdown to solve this problem is as follows:

$1)$ Write a section of code or function that reads only the upper and lower case letters in the input file into an char array of size $10000,$ storing only the appropriate lowercase letters in the character array.

$2)$ Write a section of code or function that takes as input the array from section $1$ and the encryption key and produces an array of ciphertext storing only lowercase letters.

$3)$ Write a section of code or function that takes as input the array storing the ciphertext and outputs it to the screen in the format specified. Additional functions or code will be needed to echo the input key and plaintext files.