You have an n × n grid of empty squares. You place a cross in all the squares, one at a time. When you place a cross in an empty square, you receive i+j points if there were i crosses in the same row and j crosses in the same column before you placed the new cross. Which are the possible total scores you can get?

n^2(n-1) seems to be  the only possible total score.

Posted by K Sengupta on 2022-05-06 22:23:15