Topics: New, Delete, Characters, Strings, C++ strings, C strings Cryptography— the science of secret writing — is an old science; the first recorded use was well before1900 B. C. An Egyptian writer used previously unknown hieroglyphs in an inscription. We will use a simple substitution cypher called rot13 to encode and decode our secret messages. ROT13 ("rotate by 13 places", sometimes hyphenated ROT-13) is a simple letter substitution cipher that replaces a letter with the 13th letter after it, in the alphabet. ROT13 is a special case of the Caesar cipher which was developed in ancient Rome.
Decryption KeyA|B|C|D|E|F|G|H|I|J|K|L|MN|O|P|Q |R|S|T|U|V|W|X|Y|Z(letter above equals below, and vice versa)As you can see, A becomes N, B becomes O and so on.
Your job is to write a program, with at least four functions, including main, which must do the following:
1. Ask user whether they want to encode or decode a message – if no, then terminate
2. Take the input string from the user, store it in dynamic memory (use new)
3. As appropriate, encode or decode the message using Rot13.
4. Output the encoded/decoded message
5. Delete the input string from dynamic memory (use delete)
Input will be a string of no more than 25 characters. Blanks get replaced with blanks. Do not worry about punctuation; there will be no punctuation in the string.
ALPHABET becomes NYCUNORG
Test your program with the following strings:
TAF
VF
paddrpf
I’ll be using other strings to test your code. Some suggestions (NOT requirements):
1. C++ string library functions would be useful here
2. You can process the C++ string one char at a time if you use the length member function

1. package newton’s method for approximating square roots (case study 3.6) in a function named newton. this function expects the input number as an argument and returns the estimate of its square root. the script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key. 2. convert newton’s method for approximating square roots in project 1 to a recursive function named newton. (hint: the estimate of the square root should be passed as a second argument to the function.) 3. elena complains that the recursive newton function in project 2 includes an extra argument for the estimate. the function’s users should not have to provide this value, which is always the same, when they call this function. modify the definition of the function so that it uses a keyword parameter with the appropriate default value for this argument, and call the function without a second argument to demonstrate that it solves this problem. 4. restructure newton’s method (case study 3.6) by decomposing it into three cooperating functions. the newton function can use either the recursive strategy of project 1 or the iterative strategy of case study 3.6. the task of testing for the limit is assigned to a function named limitreached, whereas the task of computing a new approximation is assigned to a function named improveestimate. each function expects the relevant arguments and returns an appropriate value. 5. a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. define a predicate issorted that expects a list as an argument and returns true if the list is sorted, or returns false otherwise. (hint: for a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return false if the first item in a pair is greater.)

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