$30\mathrm{.}7$ Filtering data with a specified filter width

Write a C$++$ program to $1)$ read the data from the input text file called TestFilexx.txt $($where xx is a number$)$

The first data point is a filter width and

the rest are used to populate the vector called data, $2)$ generate the filtered vector by performing an average filter of all points across the width of the filter which is specified by a user. The filtered value is the center of this filtering window. See sample code execution. $3)$ write the filtered vector to the output file called OutFilexx.txt$.$ In the output text file, each element of the filtered vector is separate by a comma and a space except the last data point.

All numerical values should be printed with setprecision$(4)$ of a C$++$ stream.