Question 2
A room contains several children and a bag of 1000 sweets. In some order each child divides the current number of sweets by the number of children still in the room, rounds the result if needed, takes that many sweets and leaves. Boys always round upwards and girls downwards. The process continues until the room is empty. Prove that the total sweets received by the boys does not depend on the order. (5 points)
Neutral editorial illustration.
Neutral editorial illustration.