PROGRAM MUST BE IN C

Your sixth programming assignment will consist of two C programs. Your programs should compile correctly and produce the specified output. Please note that your program should comply with the commenting and formatting rules we discussed in class. Those formatting requirements have now been updated to include variable declarations and comment headers for functions. Please see the descriptive file on eLearning for details Program 1 - Some General Recursive Algorithms As we discussed in class, recursion is a very useful programming technique in which a function makes a call to itself. Such a call is described as a "recursive function call." Recursion can be applied successfully to any problem in which the overall solution can be calculated from smaller portions of the original problem. Although it incurs extra overhead in terms of time and memory, recursion's main advantage is that it can often vastly simplify the code. The following examples will illustrate this For this assignment, let's write recursive functions that solve four different problems: 1) Determining if a string is a palindrome or not. 2)Printing the characters of a string backwards instead of forwards. 3)Calculating the Greatest Common Divisor (GCD) of two integers. 4)Recursive Linear Search All of these problems should be solved by a separate recursive function. You can determine what the prototypes should be. In all cases, analyze the problem space for two characteristics: (a) what the base case should be, and (b) how a larger problem can be solved by making recursive calls to smaller, but similar problems. That will tell you how to set up the selection logic statement that is necessary in a recursive function In general, your program should do the following: For Problems (1) and (2) above, ask the user to input a character string. For Problem (1), determine whether the string is a palindrome or not by using a recursive function and report the result to the user. For Problem (2), print the string in reverse (also by using a recursive function) 1)