You're right

I finally located a copy of the paper on the author's web page at http://www.lri.fr/~santha/ (why didn't that occur to me before?), and it's much clearer to me now--you're absolutely right. I guess the one suggestion I would make is to adopt their terminology and include the term 'pigeonhole' in the name of the problem to distinguish this variation from the more general case.

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