You are given the following $C++$ main function:Assuming that the program compiles, use a trace table with headings i$,$ term$1,$ term$2,$ term$3,$ nextTerm, and cout to show your working for parts a$)$ and c$).$a$)$ What is the output of the program if $6$ is entered for n $?[5$ marks$]$b$)$ Explain what happens when $3$ is entered for n$.[2$ marks$]$c$)$ What is the output of the program if lines $26$ and $27$ were interchanged? The value entered for n is $6.[3$ marks$]$Total Marks: $102.$a$)$ Write a C$++$ program to encode a text message found in a file and save the encoded message to a new file. Your program should prompt the user for the following data input:toReplace: The character in the message to be replaced.replacement: The character to replace toReplace.Your program should perform the following tasks:

Read the message from a file named "message.txt$"$

Replace all occurrences of toReplace with replacement in the message.

Output the encoded message to a new file named "encodedMessage. txt$"$

Print to the output screen, the number of characters replaced in the message.

Print to the output screen, the encoded message from "encodedMessage $.$txt$".$

$[14$ marks$]$

Page $3$

b$)$ In a bakery, a fixed percentage of butter is taken from a container each day. Assume that values for $B$ and $P$ already exist, where:

B $-$ is the number of cups of butter in the container at the start of the first day.

$P-$ is the percentage of butter in the container taken out each day.

Write a snippet of $C++$ code to print the number of the day, the amount taken for that day, and the amount remaining at the end of the day. The output should be terminated when $30$ days have been printed or the amount remaining is less than $100$ cups, whichever comes first.

For example, if $B=1000$ and $P=10,$ the output should start as follows:

Day Amount Taken Amount Remaining

$\backslash$table$[[1,100,900],[2,90,810],[3,81,729]]$

$[6$ marks$]$

Total Marks: $20$