Rock disorganization - Portuguese MO, Problem 6, 2008
Source:
August 31, 2010
combinatorics proposedcombinatorics
Problem Statement
Let be a natural number larger than . Vanessa has piles of jade stones, and all the piles have a different number of stones. Vanessa can distribute the stones from any pile by the other piles and stay with piles with the same number of stones. She also can distribute the stones from any two piles by the other piles and stay with piles with the same number of stones. Find the smallest possible number of jade's stones that the pile with the largest number of stones can have.