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=Andy_R Mystery Cache

Hidden : 1/16/2016
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

Applied numerical designator yield (Reference)

The original idea for this puzzle had a different working title, however as I started creating the equations with Latex markup language, I realised that =Andy_R is valid syntax, so here is an addition to my collection of caches featuring cachers names.

The cache is not at the published co-ordinates, instead consider the following...

Given a geocache resource block assignment pair where each element is specified as a triplet of values (ref [1]), a means of representing the allocated resource blocks can be considered by calculating the combinatorial index corresponding to the sorted geocache resource block indices

.

The resulting index is given by the equation



where  is the number of indices constituting a resource block assignment set, and    is the range of values for resource block indices.



is the extended binomial coefficient, resulting in a unique label,



The cache can be found at (163180054, 166147831)

Homework can be checked with the usual online system

References
[1] (2016) Wikipedia website [Online]. Available: https://en.wikipedia.org/wiki/Geographic_coordinate_conversion see section degrees decimal minutes

 

As an additional exercise, parking can be identified as (161708418, 166147778)

Certificates are available for the first eight finders. Happy hunting.

Additional Hints (No hints available.)