A Run class, that can keep some basic data for a given run. Implement this class in a file named run.cpp. It should have the following public member variables: • double t_start: the starting time of the run (in Unix timestamp format¹, in seconds); • double t_end: the end of the run (in Unix timestamp format, in seconds); • int duration: the duration of the run in seconds (excluding pauses); • double distance: the total distance covered in meters; • valarray t_data: an array with the equidistant (it = 1 sec) timestamp data ti, starting at t_data[0] = t_start; • valarray lat_data: an array of the same length as t_data, that holds a time series of data for the latitude lati; • valarray lon_data: an array of the same length as t_data, that holds a time series of data for the longitude lonį; It should also have the following member functions, which you should define: • a constructor that creates a new object of the Run class, with a double t_s as its only argument that it uses to initialize the starting time, and immediately calls another member function startRun() ⚫ three public functions, void startRun(), void pauseRun() and void endRun () which you can leave empty (assume that they are already written and will take care of filling in the data); a public function void printRunInfo() that prints out a structured message summarising the run; two public functions double get_avg_pace() and double get_fastest_pace (), that will return the average pace and the fastest pace of a run in units of min/km. Leave these empty; their implementation will be the main task of Question 2.c.