KöMaL 2023 K790

The 100 richest people of Neverland had a dinner party in a room with 12 huge tables. Those with birthdays in the same month sat down at the same table. Let $X$ denote the number of people around the table with the smallest number of people. Let $Y$ denote the number of people around the table with the largest number of people. Find the greatest possible value of $X$ and the smallest possible value of $Y$.