Marinada '23

[lang = hr] U Simeonovom snu on je pastir čije ovce dolaze u raznim bojama! Konkretno postoje crvene, zelene, plave i crne ovce, a ima ih ukupno $32$. \\ Crvene, zelene i plave ovce su numerirane brojevima od $1$ do $10$ i svaka košta $2^k$ peneza gdje je $k$ broj ovce. Crne ovce koštaju $1$ penez. \\ Pastira Simeona zanima na koliko načina može odabrati skup ovaca tako da one zajedno koštaju $2004$ peneza? [/lang] [lang = en] n Simeon's dream, he is a shepherd whose sheep come in different colors! Specifically, there are red, green, blue and black sheep, and there are a total of $32$. \\ Red, green and blue sheep are numbered from $1$ to $10$ and each costs $2^k$ pennies where $k$ is the number of the sheep. Black sheep cost $1$ pennies. \\ Shepherd Simeon is interested in how many ways he can choose a set of sheep so that they together cost $2,004$ pennies? [/lang]