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).




(defn delta [entry]
  (case (second (re-find #"\ (.*)\ @" entry))
    "IN " -1
    "OUT" 1
    (throw (Exception. (str "Invalid entry:" entry)))))
 
(defn t [entry]
  (second (re-find #"@\ (.*)\ f" entry)))
 
(let [entries (clojure.string/split (slurp "mlijobs.txt") #"\n")
      in-use (reductions + (map delta entries))
      m (apply max in-use)
      times (map #(nth (map t entries) %)
                 (keep-indexed #(when (= m %2) %1) in-use))]
  (println "Maximum simultaneous license use is" m "at the following times:")
  (map println times))