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Puzzlemania #12 Mystery Cache

Hidden : 12/30/2010
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


Note: The posted co-ordinates are bogus.
However, GZ is within 2 km. of them.


This is the 12th cache in Muzza's Puzzlemania Series. To calculate GZ, you need to read all the instructions and solve the puzzle. You'll need to remember all about square roots. At the end of your work, you should have 4 possible GZs. It's then up to you to work out which is the real GZ. You could write a program to solve this - there are only about 40,000 combinations (40,320 if my maths is correct), so it shouldn't take long to run. However, it can be solved using pencil and paper, so why not give it a try the traditional way?



The Puzzle

Solve for variables A - H. Each one is an integer between 1 and 8 inclusive and is unique - i.e. no two variables have the same value.

A = C + H
D + F = B + G
B = H + A = E + F
D = E + G
G = A + E

The final co-ordinates can be found using the following formulae:


Formula

Note 1: The formula was altered on 21/05/2023 to suit the new GZ location..

Note 2: The number inside the square root is formed from the series of digits - it's not a formula.



The cache is now a 100 ml test tube with just a log roll, so please bring your own pen. There can be muggles nearby at any time of day or night, so please, watch out for anyone, not always easily seen.

Additional Hints (Decrypt)

Arne tebhaq yriry va gur prager bs n ohfu, arkg gb gur srapr.

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)