MathDB

27

Part of 1998 National Olympiad First Round

Problems(1)

covering board with L-shaped pieces and at most one unit

Source: 0

4/23/2009
For which of the following n n, n×n n\times n chessboard cannot be covered using at most one unit square piece and many L-shaped pieces (an L-shaped piece is a 2x2 piece with one square removed)?
<spanclass=′latex−bold′>(A)</span> 96<spanclass=′latex−bold′>(B)</span> 97<spanclass=′latex−bold′>(C)</span> 98<spanclass=′latex−bold′>(D)</span> 99<spanclass=′latex−bold′>(E)</span> 100<span class='latex-bold'>(A)</span>\ 96 \qquad<span class='latex-bold'>(B)</span>\ 97 \qquad<span class='latex-bold'>(C)</span>\ 98 \qquad<span class='latex-bold'>(D)</span>\ 99 \qquad<span class='latex-bold'>(E)</span>\ 100
modular arithmeticgeometryrectanglerotation