Marinada '23

[lang = hr] Igrač $A$ odabere broj iz $\{1,2,3,…,2023\}$ . Igrač $B$ postavi upit tako da odabere neki podskup danog skupa.$ A$ mu iskreno odgovori nalazi li se odabrani broj u ponuđenom podskupu. Koliko upita $B$ treba da bi mogao garantirati da će na kraju znati koji broj je $A $ odabrao? [/lang] [lang = en] Player $A$ chooses a number from $\{1,2,3,…,2023\}$ . Player $B$ asks a question by choosing a subset of the given set. $A$ honestly answers whether the selected number is in the offered subset. How many queries does $B$ need to be able to guarantee that it will eventually know which number $A $ chose? [/lang]