An architect designs a floor with 81 equal tiles of 1 square foot in a square room measuring 81 square feet. He randomly selects two tiles (1 square foot each) and decides to replace them with a different pattern. What is the probability that the two replaced tiles have a common side?

\frac{2}{45}

\frac{6}{65}

\frac{11}{23}

\frac{13}{97}

None of these

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