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Saltdean Border #10 - Sudoku Mystery Cache

Hidden : 7/25/2011
Difficulty:
4 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

Construct and then solve a Sudoku to find this cache in Saltdean.

This cache is now part of the Saltdean Border series

Parking Co-ordinates North 50 48.858', West 000 02.008'

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 cache 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.

The co-ordinates of the cache are: North A0 BC.JKL', West 000 0D.PQR'.

The letters A, B, C, D, J, K, L, P, Q, R are all digits between 1 and 9. Any zeros are put in for you. None of the letters represent a zero.

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 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. You should be able to deduce a couple of the letters from the fact that the cache location is less than 200 metres from the above parking co-ordinates. Then you can find the other six by solving the following six equations:

C=B+B
D=Square root of D
E=A+B
F=Square Root of E
G=Square Root of B
H=B + G



Stage 2 - Solving the Sudoku

Having substituted the blue letters for the results above you should now have a standard solvable sudoku puzzle with 30 of the 81 squares filled with numbers. Six of the other 51 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. Substitute the red letters for those numbers in the cache co-ordinate formula and, there's the cache location.

You can check your answers for this puzzle on Geochecker.com.

Additional Hints (Decrypt)

Unjgubea naq fbzrgvzrf arggyrf ner uvqvat zr.

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)