Problem

Source:

Tags: combinatorics



Find the least positive real number $\alpha$ with the following property: if the weight of a finite number of pumpkins is $1$ ton and the weight of each pumpkin is not greater than $\alpha$ tons then the pumpkins can be distributed in $50$ boxes (some boxes can be empty) so that there is no more than $\alpha$ tons of pumpkins in each box.