Problem $1(2$ points$)$: Write a program that asks the user to input a string $($or no more than $50$ characters$).$ Your program should then output the length of the string. The string length should be determined using a separate function strlen$$ that will accept the address of the string and return its length. For the purposes of this exercise, the length of a string will be defined as the number of non$-$null and non$-$newline characters until either the null character $($ASCII $0)$ or the newline character $($ASCII $10)$ is encountered.

$$

Problem $2(3$ points$)$: Write a program that defines two integer array that are pre$-$sorted and the same size $($e$.$g$.,[3,7,9,11,15,21]$ and $[1,4,6,14,18,19])$ and a function merge that takes the two arrays $($and their size$)$ as inputs and populates a single array of twice the size of either input array that contains the elements of both arrays in ascending order. In the example arrays given, then output would be $[1,3,4,6,7,9,11,14,15,18,19,21].$ Have your 'main' function $($not the merge function$)$ print out the final array using a comma as a delimiter.