triominos cover a m x n board
Source: Chile Finals 2005 L2 p7
October 3, 2022
combinatoricstiles
Problem Statement
Consider a square with one corner removed from , leaving a shape in the form of .
[asy]
unitsize(0.5 cm);draw((1,0)--(1,2)--(0,2)--(0,0)--(2,0)--(2,1)--(0,1));
[/asy]
We will call this figure triomino. Determine all values of such that a rectangle of can be exactly covered with triominos.