Question 12
Bluey is placing lollies on a $ 1000 \times 1000 $ grid. Initially, every cell of the grid is empty. At each step, Bluey chooses a row or column in which the total number of lollies is a multiple of 3, chooses an empty cell in this row or column, and places a lolly in it. If there is no such row or column, Bluey stops.
Determine the maximum number of lollies that Bluey can place.
Determine the maximum number of lollies that Bluey can place.