319 logic/bookworm.p
Description
This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.
319 logic/bookworm.p
A bookworm eats from the first page of an encyclopedia to the last
page. The bookworm eats in a straight line. The encyclopedia consists
of ten 1000-page volumes and is sitting on a bookshelf in the usual
order. Not counting covers, title pages, etc., how many pages does the
bookworm eat through?
logic/bookworm.s
On a book shelf the first page of the first volume is on the "inside"
__ __ B| | | |F A|1 |...........................|10|R C| | | |O K| | | |N | | | |T ----------------------------------
so the bookworm eats only through the cover of the first volume, then 8 times
1000 pages of Volumes 2 - 9, then through the cover to the 1st page of Vol 10.
He eats 8,000 pages.
If the bookworm ate the first page and the last page, it ate 8,004 pages.
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