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Copyright © 1996-2018 Alexander BogomolnyLet a_{i} be the total number of aspirin consumed up to and including the i^{th} day, for _{1} + 14,_{30} + 14,_{i}'s and, hence, _{i} + 14)'s_{j} = a_{i} + 14,

In [Engel, p. 60] we find the following variant: A chessmaster has 77 days to prepare for a tournament. He wants to play at least one game per day, but no more than 132 games. Prove that there is a sequence of successive days on which he plays exactly 21 games.

### References

- A. Engel,
*Problem-Solving Strategies*, Springer Verlag, 1998

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