MathDB

Consider a

2\times2

square with one corner removed from

1\times1

, leaving a shape in the form of

L

. [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

m, n

such that a rectangle of

m\times n

can be exactly covered with triominos.

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