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Who Tells the Truth? Mystery Cache

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Hidden : 10/6/2012
Difficulty:
2 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The listed coordinates are for "Alice's Teacup." The final cache is not there.

This cache celebrates the British author and mathematician Charles Lutwidge Dodgson, more commonly known as Lewis Carroll.

In Carroll's two most famous books, Alice's Adventures in Wonderland, and Through the Looking-Glass, he presents the reader with various tales and puzzles which stretch the definitions of logic.

While this puzzle stays within the confines of our typical logical rules, it will still make you think.

Here it is:

Five dragons, each with a different number of heads, attend a party, and sit around a table with 5 seats.

Bill says, "Sue sits in spot one, and Seth sits in spot three."
Barry says, "I have six heads, and I don't sit next to Seth."
Sue says, "Barry always lies, and has nine heads."
Bill says, "The dragon in spot one has zero heads, and one of the dragons next to Seth has six heads.
Barry says, "Sal has zero heads."
Bill says, "Seth has eight heads."
Sal says, "Sue sits next to the dragon with six heads, and Seth always lies."
Sue says, "Sal does not sit next to Sue, and does not sit next to Barry."
Seth says, "Barry has no heads, and does not sit next to Sal."

The spots around the table are numbered one to five, going clockwise, with spot one at the top. The dragons either have 0,6,7,8 or 9 heads.

Bill always tells the truth.

Variable A: Number of heads that Seth has
Variable B: Number of heads that Sue has
Variable C: Number of heads that Barry has
Variable D: Number of heads that Bill has
Variable E: Number of heads that Sal has
Variable F: Seth's position at the table
Variable G: Sue's position at the table
Variable H: Barry's position at the table
Variable I: Bill's position at the table
Variable J: Sal's position at the table.

The final coordinates are N 40 46.DEJ W 073 58.(A-I)(C-G)(C-H)

You can check your answers for this puzzle on GeoChecker.com.

The FTF will receive a brand new book related to Lewis Carroll

Additional Hints (Decrypt)

Chmmyr: Va rnpu fgngrzrag, n qentba rvgure gryyf gur shyy gehgu, be yvrf pbzcyrgryl. Ubjrire, bapr n yvne nyjnlf n yvne qbrf abg nccyl gb qentbaf. Uvqr: Zntargvmrq anab. Cyrnfr ercynpr pnershyyl, naq znxr fher vg vf frpher. Gunax Lbh.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)