Imagine that everyone involved in this challenge enjoys chocolate and wants to have as much as possible!
There is a room in a school that has three tables in it with plenty of space for chairs. Table 1 has one block of chocolate on it, Table 2 has two blocks of chocolate on it, and Table 3 has three blocks of chocolate on it. All the chocolate blocks are the same size.
Outside the room is a class of 26 students. The students are allowed to come in one at a time and can only enter when the person in front of them has sat down. When each student enters the room, they sit at the table that would award them the most chocolate if the chocolate were shared equally as soon as they sat down.
However, the chocolate isn’t shared out until all 26 students have been seated. Determine the tables where students 1–26 will be seated. How much chocolate will each student get when the chocolate is equally shared between the students at each table?