Tilings II
A natural variation of
previous problem
is to now remove one black square and one white square from the chessboard. Now the resulting board has the same number of black squares and white squares; is it possible to tile it with dominoes regardless of which black square and which white square we remove?
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Divide the process into two stages
1) Complete the internal rectangle whose opposite corners are the blocked squares
2) Cover the remaining external squares.
Both stages are relatively straightforward when you consider that the rectangle in question has exactly one odd length and one even length.