Write one program in c$++$ with a menu allowing a user to select either an Insertion, a Selection, a Merge or a bubble sort to run with each sort using the following data in this order for every sort. Keep count of the total number of movement of data for each sort and at the end of running all of the sorts, print a chart showing the number of moves for each sort.

$$data:

$6,1,13,7,11,9,2,8,15,5,3,4,12,10,14$