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From: hopp@nbs-amrf.UUCP
Newsgroups: net.puzzle
Subject: Re: Census Taker Problem (SPOILER, rot 13)
Message-ID: <231@nbs-amrf.UUCP>
Date: Tue, 27-Mar-84 10:59:03 EST
Article-I.D.: nbs-amrf.231
Posted: Tue Mar 27 10:59:03 1984
Date-Received: Wed, 28-Mar-84 07:33:47 EST
Organization: National Bureau of Standards
Lines: 27

Gur ubhfr ahzore vf 91.  Guvf nffhzrf gung gur ntrf bs gur crbcyr
ner vagrtref.  Bgurejvfr gur ceboyrz vf ernyyl gbhtu!  Gur jnl
V trg 91 vf nf sbyybjf:

	    4    2
    1296 = 2  k 9

Guhf gur cbffvoyr ntrf bs crbcyr va gur ubhfr ner:

    1, 2, 4, 8, 9, 16, 18, 36, 72, 81, 144, 162, 164, 648, 1296

Jr pna rahzrengr nyy gevcyrf fhpu gung rnpu ryrzrag vf sebz guvf yvfg
naq gur cebqhpg vf 1296.  Jvgubhg ybff bs trarenyvgl, jr pna nffhzr
gung gur ryrzragf ner va aba-qrpernfvat beqre.  Vs gur fhz bs bayl bar
fhpu gevcyr fhzzrq gb gur ubhfr ahzore, gur p-g jbhyqa'g unir gb nfx
nalguvat ryfr.  Fvapr ur qvq, jr nffhzr gung xabjvat gur fhz naq cebqhpg
qvq abg havdhryl qrgrezvar gur gevcyr.  Gur bayl gevcyrf bs gur nobir
rahzrengvba gung qb abg unir havdhr fhzf ner (1, 36, 72) naq (2, 8, 81),
obgu bs juvpu fhz gb 91.  Gur p-g'f ynfg dhrfgvba bayl znxrf frafr vs
gur zna orvat vagreivrjrq jnf bar bs gurfr ntrf, va juvpu pnfr gur 
dhrfgvba jbhyq qrgrezvar juvpu gevcyr jnf pbeerpg.  Ibvyn!
-- 

Ted Hopp		      UUCP: {seismo,allegra}!umcp-cs!nbs-amrf!hopp
National Bureau of Standards  ARPA: hopp.nbs-amrf.umcp-cs@udel-relay
Metrology A127		      BELL: (301)921-2461
Washington, DC 20234