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).




(   0:?N:?n
  & :?Ts
  & @( get$("mlijobs.txt",STR)
     :   ?
         ( "e " ?OI " @ " ?T " " ?
         &   (   !OI:OUT
               &   !n+1
                 : ( >!N:?N&!T:?Ts
                   | !N&!Ts !T:?Ts
                   | ?
                   )
             | !n+-1
             )
           : ?n
         & ~
         )
     )
| out$(!N !Ts)
);
 