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What?!? No Mega Logics in Nova Scotia ?!? Mystery Cache

Hidden : 12/20/2015
Difficulty:
4.5 out of 5
Terrain:
2.5 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.


Congrats to boxerbailey on a mega-FTF! (hint was added later)

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 26 letters (A, B, C, ... Z) represent the numbers from 1 to 26. No two letters are equal. "G*A" represents multiplication.

A + Y = B + W = C + T = D + K = E + Z = F + P = G + J = H + I = L + N = O + X = Q + V = R + S = M
(L * L + J * J) * X = H
J * Q = S
J * A = C
L * E = W
L * A = D
L – J = X
D – C = A
F – X = P * L

The cache is hidden at N 45° 05.XXX W 064° 20.YYY where:
XXX = (A * B) + (C * D) + ( E + F + G + H + I ) * J + (K * L * Z) – (W * P) + X + 74
YYY = (M * N) + (O * P) + (Q + R + S + T + U) + (V * Q) – (E + W + X + Y + Z) – 90

Note that the minutes of the listed coords are not the same as the hidden coords.

The geocache is within 3 metres of the trail.

You can either check your coordinates using the "official" checker (enter the coordinates) or using certitude.

To check your coordinates using certitude, enter the letters of your solution from smallest to largest, in the format ABC.SRT. and so on (capitals, with a . between every third letter). So if you found that A=4, B=1, C=2, D=26,E=3, F=5, G=6, H=7, I=8, J=9, K=10, L=11, M=12, N=13, O=14, P=15, Q=16, R=17, S=18, T=19, U=20, V=21, W=22, X=23, Y=24 and Z=25, you would enter BCE.AFG.HIJ.KLM.NOP.QRS.TUV.WUX.ZD in certitude.

You can validate your puzzle solution with certitude.


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Additional Hints (Decrypt)

jvagre sevraqyl

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)