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No best answer has yet been selected by stormin. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.I tried a different tack and came up with 396 as the answer.
Try a simpler case.Take four books - two spines facing and two non-spines facing. It is possible to interlock the four books (each half-open). You can now fit in 2 non spines on each side. This effectively hides the non spine books so you can fit in more. My theory means you can fit in 99 each side making a total of 198 + 198 = 396.
I think the answer is 199. Assume you see the same spines from both sides of the table -ie the books' spines either face the ceiling or face the top of the table. So you have 99 spines of books facing the ceiling and 99 spines of books facing the table - total 198. So to fulfil the question you need another book at the end of the row facing the top of the table - 199.