Marinada '23

[lang = hr] Nasumično gađamo točke s cjelobrojnim koordinatama. Koliko ih moramo pogoditi da bismo bili sigurni da smo pogodili dvije točke takve da im je razlika $x$ koordinata djeljiva s $6$ i razlika $y$ koordinata djeljiva s $11$? [/lang] [lang = en] We randomly target points with integer coordinates. How many do we have to guess in order to be sure that we guessed two points such that their difference $x$ coordinates is divisible by $6$ and the difference $y$ coordinates is divisible by $11$? [/lang]