Calculating backlog of events to handle

Yesterday on my favorite IRC channel fooqux asked interesting question. I took some more questions, and here is problem description:

We have a system which, every 5 minutes, takes a number of tasks to be done. Tasks are uniform. Within 5 minutes we can handle at most 100 tasks. Given the history of number of tasks added every 5 minutes, calculate backlog at any given moment.

Did you understand the problem? Well – I didn't. So, let's see the data, and expected output.

Continue reading Calculating backlog of events to handle