Statement

Forgetting things is one of the most played "sport" worldwide, and university students make no exception. To be more accurate, students keep forgetting their pencil cases, often because they leave it on the desk at their home. When the first lecture starts in the morning, they suddenly realize that they are unable to take class notes, as they have no pen at their disposal. What usually happens next is that these students start asking pens to other students, seated increasingly away, until someone happened to brought many pens with them and is thus able to lend one. Luca, who is notoriously a calm person, finds that this process is rather messy and produces too much noise. Wouldn't it be simpler if, considered a row of seatings, a student could only ask a pen to the student seated at their immediate left or right? Luca wants to experiment with the rule above, worried that maybe too many students will be left without a pen...