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NSML22: Putting the "Micro" back in Micro Logic Mystery Cache

This cache has been archived.

juniorwoodchuckhuey: Archiving this one. If you've solved it but not logged it, keep that solution. It will reappear as part of another "micro logic reincarnation" puzzle sometime soon.

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Hidden : 8/11/2018
Difficulty:
4 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The geocache is not at the posted coordinates.  You must solve the puzzle below to find the coordinates.

If you aren't familiar with this kind of puzzle, you may want to try solving GC61BVX: (NSML02: a Micro Logic Tutorial) first.

You can get the coordinates by solving the following: The nine letters (A, B, C, D, E, F, G, H, J) represent the digits from 1 to 9. No two letters are equal.  In the formulas below, "A*C" represents multiplication of A and C, and "GA" represents the two-digit number with digits G and A.  For example if G=7 and A=3, then GA=73 and G*A = 21.

C - J = D
B + G = E
A * A = E
H * B = F
D + H = A

The geocache is hidden at N 45 05.X,  W 064 22.Y, where X = DAG+HBC and Y = JCH - AFE

You can check your solution below.

Additional Hints (Decrypt)

unatvat

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)