Y by
Paca-Vaca decided to note every day a single quadratic polynomial of the form
, where
and
are positive integers, less or equal than
. He follows the rule that the polynomial he writes must not have any common roots with the polynomials previously noted.
What is the maximum amount of days Paca-Vaca can follow this plan?




What is the maximum amount of days Paca-Vaca can follow this plan?