Let n be a natural number larger than 2. Vanessa has n 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 n−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 n−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. combinatorics proposedcombinatorics