a) Implement 4-way Merge sort to sort an array/vector of integers and name it merge4. Implement the algorithm in the C++. Your program should be able to read inputs from a file called data.txt where the first value of each line is the number of integers that need to be sorted, followed by the integers (like in HW 1). The output will be written to a file called merge4.txt.

b) Modify code- Now that you have verified that your code runs correctly using the data.txt input file, you can modify the code to collect running time data. Instead of reading arrays from the file data.txt and sorting, you will now generate arrays of size n containing random integer values from 0 to 10,000 to sort. Use the system clock to record the running times of each algorithm for ten different values of n for example: n = 5000, 10000, 15000, 20,000, , 50,000. You may need to modify the values of n if an algorithm runs too fast or too slow to collect the running time data (do not collect times over a minute). Output the array size n and time to the terminal. Name the new program merge4Time.