In C++ Implement merge sort to sort an array/vector of integers. 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. Example values for data.txt:

4 19 2 5 11

8 1 2 3 4 5 6 1 2

The output will be written to files called merge.out". For the above example the output would be:

2 5 11 19

1 1 2 2 3 4 5 6