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3 Trees Mystery Cache

This cache has been archived.

GeoOldham: Three trees no more, we will leave we will leave the memorial tree in peace

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Hidden : 11/10/2018
Difficulty:
4.5 out of 5
Terrain:
5 out of 5

Size: Size:   other (other)

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Geocache Description:


The cache is NOT at the published co-ordinates and you do not need to visit them to find it.

In order to find the first tree you need to construct and then solve a fairly tricky Sudoku puzzle. You will need to know the rules of Sudoku and how to logically solve some simple algebra maths equations.

Stage 1 - Constructing the Sudoku

To construct the Sudoku, you need to find the value of the following 8 letters: A, B, C, D, E, F, G and H and then substitute the numbers for those blue letters in the following Sudoku grid.

Each of the 8 letters (A, B, C, D, E, F, G ,H) represents a number between 1 and 9. All the 8 numbers are different from one another. Obviously because there are 8 out of 9 there is one number missing, but some Sudoku's are like that. I said it was tricky.

  • E = H Minus D
  • B = H to the Power of 2 Minus D to the Power of 3
  • D = Square Root of D
  • A = G Plus F Where G Less than F
  • C = D Plus E Times H
  • H = Square Root of A

 

Stage 2 - Solving the Sudoku

Having substituted the blue letters for the results above you should now have a standard solvable sudoku puzzle with 27 of the 81 squares filled with numbers. Six of the other 54 squares contain the red letters J, K, L, P, Q and R. Once the puzzle is completed, you will have numbers (between 1 and 9) in each of the squares that have red letters in them. Not all these numbers are different.

The co-ordinates of the first tree are: North 83 63.JKL', West 337 31.PQR'.

Substitute the red letters for numbers in the Sudoku grid to find the cache location, once you have given it a little rotation.

Take note of the attributes and D/T rating, more than just a GPS required. It may take more than one visit if you don't have all the required equipment.

As with all mystery/puzzle caches, please do not disclose solutions or locations in your logs, nor, pass on solution to others. Thank you

Additional Hints (No hints available.)