[net.puzzle] Beauty Contest Solution

jrrt@hogpd.UUCP (R.MITCHELL) (08/27/84)

	The following puzzle come from THE SUNDAY TIMES BOOK OF BRAIN TEASERS,
	compiled and edited by Victor Bryant and Ronald Postill (St. Martin's
	Press, New York).

	Five girls entered a beauty contest.  Each of the five judges had to
	put them in a definite order and allot 15 marks between them.  The
	aggregate marks for each girl decided the issue.  The judges each
	gave a different maximum mark and also chose a different girl to be
	top.  No girl had two identical marks in her score.

	Joe gave the maximum possible to Rose, and he placed Gwen above
	Linda.  Tom gave Ann one more point than Sam did.  Pam had no zero
	in her score and although she finished ahead of Rose, she did not win.

	Ann scored the only 5 that was allotted.  Dan placed the girls as
	closely together as he could.  The judge who put Gwen first put Rose
	last. Brian succeeded in putting them all in their correct final order.

	Who won, and what were her final individual marks from each judge?

Linda won the beauty contest.  The judges gave the following scores to
the appropriate contestants:

	Joe  Tom  Sam  Dan  Brian
Rose     9    3    0    1     2
Gwen     2    0    7    4     1
Linda    0    2    4    3     8
Ann      1    4    3    5     0
Pam      3    6    1    2     4

Rob Mitchell
{allegra,ihnp4}!hogpd!jrrt
At least once a year, everyone is a genius.  - G. C. Lichtenburg