String
Implement a custom type for representing strings in C++. Allow following operations as well as operators, considering dynamic memory allocation:
Operations:
• length: determine the length of string
• upper: convert the string to upper case
• lower: convert the string to lower case
• at: return character at a given index
• substring: extract a substring given start and end
• index: find starting index of a substring
• compare: compare two strings
• concat: concatenate/append the argument after current string. Cater cases for different data types such as String, C-string, char, int, float
• prepend: concatenate/append the argument before current string. Cater cases for different data types such as String, char, int, float
Operators:
• + : for concatenation and prepend operations taking into account different data types and order of argumets
• = : for assignment
• ==, !=, < and : for comparison operations
• [] : for access to character at a given index
• and << : for output and input a string
Roman Number
Implement a class to represent a Roman Number based upon the Standard Form described on the Wikipedia page (https://en.wikipedia.org/wiki/Roman_numerals). Support following operations using corresponding operators:
• + : for adding two roman numbers
• - : for subtracting two roman numbers
• * : for multiplication of two roman numbers
• / : for division of two roman numbers
• ==, !=, < and : for relational comparison of two roman numbers
• ++ and - - : for increment and decrement, both prefix and postfix versions
