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Idiot Savant Multi-Cache

Hidden : 1/17/2010
Difficulty:
2.5 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:

This is a two-part multi-cache in a quaint shopping center in West St. Louis County with a short walk from the published coordinates to the cache. Projecting waypoints is required. Bring your own pen.


An Idiot Savant is a person who is mentally retarded in general but who displays remarkable aptitude in some limited field such as Geocaching. There are very few Idiot Savants in the world so all of us have IQs somewhere between the extremes. This cache will help you determine your Geocaching IQ.

To log this cache follow the procedure described below.

1. Go to waypoint 1, the coordinates at the top of this page, and find a large green object with a five-digit number on it with yellow numerals on a black background. Call the number N.
2. Let A be a number comprised of the left two digits of N and B a number comprised of the right two digits of N.
3. Let C be the left digit of the number A and D be the left digit of the number B.
4. Add all of the digits of A and B and call the sum E.
     Example, if N were to equal 12345 (it does not) then A=12, B=45, C=1, D=4 and E=12
5. Compute X, a distance in statute miles (sm), as follows:
     X = 3(A + B + 1) – 27(C + D – 1) – 3E – 5
     Example, for the above values of A, B, C, D and E the value of X would equal 25 sm.
     There are 5280 feet per statute mile and it is not a nautical mile having 6076.115 feet.

6. Project from waypoint 1 at a true bearing of 090 degrees (due east) for a distance of X sm and call the new coordinates waypoint 2
     Example, for the above value of X = 25 the projected coordinates of waypoint 2 would be:
     N38° 36.392’ W090° 07.149’.

7. Find the cache coordinates by projecting back from waypoint 2 at a true bearing of 270 degrees (due west) for the same distance of X sm.
     No example provided because if you can do step 6 you can do this step.
8. Find the cache at the coordinates computed in step 7.

You can either do the projections on your GPS or use the Compute lat/lon given radial and distance from a known point great circle calculator found at: Great Circle Calculator
Be sure to set the Distance Units to “sm” and the Earth model to “Spherical (1’=1nm)”.

An idiot (Geocaching IQ less than 50) would search for the cache at waypoint 1.
A person with normal intelligence (average Geocaching IQ of 100) would go to waypoint 1, find the value of N, work through the arithmetic then find the cache at the computed coordinates.
A savant (Geocaching IQ greater than 150) does not need the value of N and would compute the cache coordinates from the armchair without having to go to waypoint 1 by using only the information provided on this cache-sheet then find the cache at the computed coordinates.
A Geocaching Idiot Savant (Geocaching IQ greater than 250 because he can do projections in his head) would go directly to the cache.

To get optional full credit please include your Geocaching IQ in your log.

Savants may check their coordinates at: Geochecker.com

Additional Hints (Decrypt)

Frpbaq sebz fbhgu

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)