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A grid of cells is tiled with dominoes such that every cell is covered by exactly one domino. A subset
of dominoes is chosen. Is it true that at least one of the following 2 statements is false?
(1) There are
more horizontal dominoes than vertical dominoes in
.
(2) The cells covered by the dominoes in
can be tiled completely and exactly by
-shaped tetrominoes.

(1) There are


(2) The cells covered by the dominoes in

