Question 33
A total of $2010$ coins are arranged in $5$ boxes. In the beginning the numbers of coins in the boxes are consecutive numbers. Martha has to choose and take one of the boxes, but previously she is allowed to do the following transformation finitely many times: from a box in which there are at least four coins to move one coin to every other box.
With how many coins can Martha leave at most?
With how many coins can Martha leave at most?