MathDB
a square 101 x101 with all cells except one corner cell are black

Source: Tournament of Towns, Junior A-Level , Fall 2019 p7

April 20, 2020
gridColoringcombinatorics

Problem Statement

Peter has a wooden square stamp divided into a grid. He coated some 102102 cells of this grid with black ink. After that, he pressed this stamp 100100 times on a list of paper so that each time just those 102102 cells left a black imprint on the paper. Is it possible that after his actions the imprint on the list is a square 101×101101 \times 101 such that all the cells except one corner cell are black?
(Alexsandr Gribalko)