# Gomez LOGIC

by Neil Murrell

Great News! You've been nominated to be advisor to the
king. It's a great position meaning unbelievable
wealth and prestige. Not to mention being a Royal
Advisor is a great BABE MAGNET! Unfortunately, the
king is one of THOSE kings. You know the kind. They
select advisors based on the candidate's ability to
discern hat color. If you get this job one of your
first pieces of advice to the king will be to discard
this silly system.

The king's advisory board is a four member panel and
the king has decided that he wants a fifth advisor.
That's the position you hope to fill. You know nothing
about the rest of the advisors. They are cloaked in
mystery. When you meet with the king he explains the
rather complex rules to the 2001 Get A New Advisor
Test:

"It's really quite simple" he says "you will be
blindfolded and led into a room with the other four
sages. One who tells the truth at all times, without
fail. One who lies all the time without fail. One
who
alternates between truth and lies and One whose rules
when he makes three statements are different from the
other three sages. This final type of sage is also
known as a mystic. "These sages are each wearing
different coloured hats. The four colours are Red,
blue, Green and Black. These hats also signify the
power of each sage thusly" Here the king hands you a
little leaflet with "Chain of Power" written on it.

Chain of power

Red = Most powerful

Blue = Second most powerful

Green = Third most powerful

Black = Least powerful.

"You have to deduce which sage tells the truth/lies
etc., each sages position in the chain of power and
the colour of each of the sages hats" the king
continued "by listening to what each sage has to say.
You can tell the sages apart because they all have
very distinctive voices (convenient, eh?).
"What you have to do is deduce from the sages
statements the colours of each of their hats. If you
answer correctly then you will be my next high-paid
advisor. However, should you be wrong, you would be
tossed into the fiery furnace. If you cheat you will
be beaten, quartered, and then tossed into the
furnace--so don't do that." "That's a bit violent,"
you say. "I'm having second thoughts about this"

"Oh, by the way," The king says "If you back out now
you'll also get the furnace. I don't want any
quitters in MY kingdom"

You are about to tell the king to take his hats and
his test and stick them where the sun don't shine when
you notice a parade of lovely ladies-in-waiting stroll
slowly by. Hmm... OK...

"Bring it on!" you tell the king.

You are blindfolded and wheeled into the room where
the sages are. The sages are, according to the king,
labeled, A, B, C & D and you know that they will speak
in that order.

Sage A says

(1) B is a mystic

(2) D's second statement is false

Sage B says

(1) Only one of C's statements is true

(2) The lying sage is two places higher in the 'chain
of power' than the truth telling sage

Sage C says

(1) A does nothing but lie.

(2) D alternates consistently between truth and lies
and he is not a mystic.

Sage D says

(1) A always tells the truth

(2) C is higher in the 'chain of power' than A

When they finish you think. For a very..long..time.
You have to be right or else face certain death. It's
all down to you now, can you figure out which sage
tells the truth, which sage lies, which sage
alternates evenly and which sage is the mystic? Can
you tell their position in the chain of power and,
most importantly, can you deduce the colour of their
hats?