Heaps of stones
Source: All-Russian MO 2023 Final stage 9.5
April 23, 2023
combinatorics
Problem Statement
If there are several heaps of stones on the table, it is said that there are stones on the table, if we can find piles and number them with the numbers from to so that the first pile contains at least one stone, the second - at least two stones,..., the -th has at least stones. Let the table be initially contain piles of stones each. Find the largest such that after removing any stones, there will still be stones left on the table.