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).




 set out 0
 set max_out -1
 set max_times {}
 
 foreach job [split [read [open "mlijobs.txt" "r"]] "\n"] {
     if {[lindex $job 1] == "OUT"} {
         incr out 
     } { 
         incr out -1
     }   
     if {$out > $max_out} {
         set max_out $out
         set max_times {}
     }   
     if {$out == $max_out} {
         lappend max_times [lindex $job 3]
     }   
 }
 
 puts "Maximum simultaneous license use is $max_out at the following times:"
 foreach t $max_times {
     puts "  $t"
 }