mcdaniel@uiucdcsb.UUCP (02/11/85)
Urer'f na vagrerfgvat chmmyr gung V jnf gbyq gbqnl. Vg'f tbbq (be onq) rabhtu gung bguref zvtug jnag gb frr vg. N cvgl gung nabalzvgl vfa'g ranoyrq ng guvf fvgr . . . Gurer ner 2 fnvybef, 2 pbaqbzf, naq 2 juberf. (Vs lbh cersre, 2 qbpgbef, 2 cngvragf, 2 tybirf.) Obgu fnvybef jvfu gb fyrrc jvgu obgu bs gur juberf. Gur juberf ner jvyyvat, nf gur fnvybef unir fhssvpvrag zbarl. Ubjrire, rirelbar pbaprearq vf nsenvq bs pngpuvat fbzrguvat sebz fbzrbar ryfr. Fb (1) rnpu fnvybe zhfg hfr n pbaqbz qhevat vagrepbhefr (fb gur juberf jba'g trg certanag naq/be gur fnvybe<->juber yvax jba'g cnff qvfrnfr); (2) arvgure fnvybe jvyy hfr n pbaqbz va juvpu gur bgure unf pbzr (fb bar fnvybe jba'g pngpu nalguvat sebz gur bgure); (3) arvgure juber jvyy crezvg n pbaqbz va ure gung unf orra va pbagnpg jvgu gur bgure juber (fb bar juber qbrfa'g trg nalguvat sebz gur bgure). (Gur snpg gung pbaqbzf ner abg 100% eryvnoyr gb npuvrir nal bs gurfr tbnyf vf veeryrinag. Sbe gung znggre, abguvat vf 100% eryvnoyr, nf gur Ivetva Znel sbhaq bhg . . .) Bu, bar rkgen cbvag: pbafvqre bayl intvan-cravf frk: znfgheongvba "fbyirf" gur ceboyrz, ohg vg'f abg jung gur fnvybef jnag. Gur chmmyr: ubj pna nyy pbaprearq shysvyy gurve jvfurf? Nafjre va gur sbyybjhc (nybat jvgu n eryngrq dhrfgvba).
mcdaniel@uiucdcsb.UUCP (02/11/85)
This is a brief reprise of a puzzle I posted, a solution, and related
questions.
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Gurer ner 2 fnvybef, 2 ubbxref, naq 2 pbaqbzf. Rnpu bs gur fnvybef
jvfurf gb unir frk jvgu obgu bs gur juberf. Ubjrire, rirelbar vf
nsenvq bs qvfrnfr naq/be certanapl, fb (1) rnpu fnvybe zhfg hfr n
pbaqbz, (2) arvgure fnvybe jvyy hfr n pbaqbz va juvpu gur bgure unf
pbzr, (3) arvgure juber jvyy crezvg va ure n pbaqbz juvpu unf orra va
gur bgure. Ubj pna nyy pbaprearq fngvfsl gurzfryirf?
Nafjre: Pbafvqre fnvybef 1 naq 2, ubbxref N naq O, pbaqbzf k naq l.
Fnvybe 1 chgf ba k, naq gura l bire vg! Ur unf frk jvgu N. Guhf
pbaqbz k unf gbhpurq bayl fnvybe 1, pbaqbz l unf gbhpurq bayl ubbxre
N. Fnvybe 1 gnxrf bss l naq unf frk jvgu O. Pbaqbz k unf gura gbhpurq
fnvybe 1 naq ubbxre O. Fnvybe 2 hfrf pbaqbz l gb unir frk jvgu
cebfgvghgr N -- l unq gbhpurq bayl N, fb vg'f BX. Abj 2 chgf k bire l
naq unf frk jvgu O. k unf orra hfrq jvgu ubbxre O, fb gung'f BX. Vg
unq gbhpurq fnvybe 1, ohg l vf cebgrpgvat fnvybe 2 sebz gung.
Nal dhvooyrf nobhg gur erhfnovyvgl bs pbaqbzf naq nobhg gur zrff jvyy
or purreshyyl zrg jvgu n ehqr abvfr.
Eryngrq dhrfgvba 1: sbe jung inyhrf bs F, U, naq P qb fbyhgvbaf bs gur
trarenyvmrq F fnvybef-U ubbxref-P pbaqbzf ceboyrz rkvfg?
Eryngrq dhrfgvba 2: ubj pbhyq nalbar choyvfu gur nafjre gb eryngrq
dhrfgvba 1 naljurer ohg EBG13 ba Hfrarg be Cynlobl?
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From the feelty and almost totally demented mind of
Tim McDaniel
Addresses: Good grief! Bad enough that I posted this fuvg -- you want me
to tell you how to send hate mail to me?!? Oh, well . . .
Usenet: ...{pur-ee|ihnp4|convex}!uiucdcs!mcdaniel
Csnet: mcdaniel%uiuc@csnet-relay.arpa (really!)peterb@pbear.UUCP (02/15/85)
Tim, Believe it or not, no less than three papers were presented along these lines over the years my mathameticians! The puzzle has been around for a long time and all three address the interesting problem of minimum define workable sets of S, H and C. I remember reading about this a while ago, but my memory is a little fuzzy about which magazine. Peter Barada ima!pbear!peterb