Question

A chess player wants to practice for a championship match over a period of 11
weeks. She wants to play at least one game per day but at most 132 games in total. No matter
how she schedules the games, there must be a period of consecutive days on which she plays a
total of exactly
a) 22 games;
b) 23 games;
c) 24 games;
d) 25 games.
Construct a 77 day schedule of games such that no period of consecutive days has a total of
exactly 26 games.