MathDB
Rock disorganization - Portuguese MO, Problem 6, 2008

Source:

August 31, 2010
combinatorics proposedcombinatorics

Problem Statement

Let nn be a natural number larger than 22. Vanessa has nn 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 n1n-1 piles with the same number of stones. She also can distribute the stones from any two piles by the other piles and stay with n2n-2 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.