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Professor Paul T. Bateman
MONTHLY Problems
Department of Mathematics
University of Illinois
1409 West Green Street
Urbana, IL 61801
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Dear Professor Bateman:
I enclose a problem with solution. It is advanced only in that my
solution employs Philip Hall's theorem on bipartite matchings. I could
not find any simpler solution. An amusing feature of the problem
is that its statement, except for the phrase ``positive lower bound'',
shows virtually no trace of being mathematical.
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Sincerely yours,
Robert W. Floyd
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P.S.$\,$ Please forgive me if I have already sent you this; I couldn't remember.
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