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NSML058: The Net Mystery Cache

Hidden : 12/29/2025
Difficulty:
4 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:


Congrats to BoxerBailey and Stick People on FTF! BoxerBailey was also first to get to "WooHoo" in the checker.

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

The circles in the network below are labelled A through J. Each letter represents a number between 0 and 9.  No two letters represent the same digit. 

Each circle has two different numbers associated with it.  One is the "hidden number" which is the value of the letter.  The other one is a product of all hidden numbers in circles connected to it. For example, the product for F would be D*E*H*I (that is, the product of the hidden values of D, E H, I).  When calculating the product for a circle, don't include the hidden number for the circle itself.  

Illustrative (fake) example:
Here's a more detailed example (using fake hidden numbers): If the hidden values were A=0, B=1, C=2, D=3, E=4, F=5, G=6, H=7, I=8, J=9 then
A would have product equal to (C's hidden value)*(D's hidden value) = 2*3 = 6
B would have product equal to (D's hidden value) = 3
C would have product equal to 0*3*6*7 = 0.

As noted above, the product for A includes its neighbours, but not A itself.

The actual puzzle:
The hidden values can be found using the network and the information below.

A has product equal to 6
B has product equal to 2
C has product equal to 96
D has product equal to 0
E has product equal to 126
F has product equal to 90
G has product equal to 6
H has product equal to 672
I has product equal to 140
J has product equal to 9

Once you have solved the puzzle, enter the letters A - J in the checker.  Order them from smallest to largest, separating each 3 digits with a ".".  For example if A=3, B=2, C=0, D=1, E=4, F=5, G=6, H=7, I=8, J=9, you would enter CDB.AEF.GHI.J

You can validate your puzzle solution with certitude.


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Additional Hints (Decrypt)

Uvqr: 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)