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TWC - Sharing Secrets Mystery Cache

Hidden : 2/18/2020
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:


The Whittlesea Compass attributes explanations can be found HERE

TWC - Sharing Secrets


The cache is not at the posted coordinates. To obtain the coordinates, solve the puzzle below.

Adi Shamir created an algorithm using polynomial equations to split up a secret into multiple parts such that all parts are required to reconstruct the original secret. This system is called Shamir’s Secret Sharing algorithm.(3,-5363)

To find the final coordinates, you will be required to reconstruct 2 quadratic equations and find their vertical intercepts given 3 points on the curve. (1,912)

South
Given the points (1,-13) and (2,-1860) construct a quadratic equation in the form ax2+bx+c

East
Given the points (2,2203) and (3,4400) construct a quadratic equation in the form Ax2+Bx+C

The final coordinates are
S 37° 30.c' E 145° 10.C'


You can validate your puzzle solution with certitude.


We have chosen locations for caches where safe parking is available. Under NO circumstance should driveways and gates be blocked or used for parking. With nearby property owners in mind, these geocaches have been placed out of view, so as not to cause alarm. If you feel a location is causing concern to nearby homeowners, please let us know.

Additional Hints (Decrypt)

Chmmyr:Fvzhygnarbhf rdhngvbaf Uvqr:Hc Hfr Cbyr

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)