A company currently pays a fixed sum for the use of a particular licensed software package.   In determining if it has a good deal it decides to calculate its maximum use of the software from its license management log file.

Assume the software's licensing daemon faithfully records a checkout event when a copy of the software starts and a checkin event when the software finishes to its log file.

An example of checkout and checkin events are:

 License OUT @ 2008/10/03_23:51:05 for job 4974
 ...
 License IN  @ 2008/10/04_00:18:22 for job 4974



Task

Save the 10,000 line log file from    here   into a local file, then write a program to scan the file extracting both the maximum licenses that were out at any time, and the time(s) at which this occurs.

Mirror of log file available as a zip here (offsite mirror).




$2=="OUT" { 
    count = count + 1 
    time = $4 
    if ( count > maxcount ) {
        maxcount = count 
        maxtimes = time
    } else { 
        if ( count == maxcount ) {
            maxtimes = maxtimes " and " time 
        }
    }
}
$2=="IN" { count = count - 1 }
END {print "The biggest number of licenses is " maxcount " at " maxtimes " !"}