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).




license()={
    my(v=externstr("type mlijobs.txt"),u,cur,rec,t);
    for(i=1,#v,
        u=Vec(v[i]);
        if(#u>9 && u[9] == "O",
            if(cur++>rec,
                rec=cur;
                t=[v[i]]
            ,
                if(cur == rec,t=concat(t,[v[i]]))
            )
        ,
            cur--
        )
    );
    print(apply(s->concat(vecextract(Vec(s),"15..33")), t));
    rec
};