In this lab, you are going to implement a program based on the given recursive definition.
Java programs:
Modify the method that calculates the sum of the integers between 1 and N shown in slides. Have the new version named Sum.java match the following recursive definition: The sum of 1 to N is the sum of 1 to (N/2) plus the sum of (N/2 + 1) to N. Use your program to trace your solution with an N of 7. Then take a screen shot of the trace and keep the file in your Lab 13 folder. Your program should ask user to input a number N and calculate the sum of 1 to N. Exceptions should be handled properly.
