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Dinner for Two - a puzzle cache Mystery Cache

This cache has been archived.

Nylimb: I found mouse droppings on and around the cache. I don't want anyone to get sick from handling it, so I've removed it.
If someone else wants to put a cache nearby, feel free. I recommend putting it up high, because this area gets flooded sometimes.

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Hidden : 5/25/2005
Difficulty:
2.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:

Chop up a dinner table to find the coordinates of a small cache.

The listed coordinates are for the trailhead. The cache is located in the Elk River Wildlife Area; to find its coordinates you'll need to solve the geometric puzzle below. The cache is a 1.7 pint Rubbermaid container, about 7.5 by 5 by 2.5 inches, painted green.

The trail here can be overgrown at times, especially beyond the abandoned house and barn. There could be fleas, ticks, snakes, etc., so I recommend wearing long pants, boots, and gloves. Also be aware that there may be hunters in the area.

The first time I came here, I locked my bicycle to the fence at the north side of the parking lot, and walked to the end of the trail. When I got back, I saw two horses leaning over the fence near my bike. Then I noticed that they were chewing on my bike seat! They'd torn the cover, and scattered several chunks of foam on the ground. They'd almost pulled the seat off the bike; it was hanging on by one screw. I patched it with duct tape, well enough to ride home, and decided that I should hide a cache nearby to commemorate the event.

Now, on to the puzzle:



After a more conventional dinner for two, 11 items are left on the table. (A plate and the fork on it will be considered to be one item, as will the salt shaker and all the grains of salt in it, etc.) Your job is to draw 4 straight lines across the picture, which divide it into 11 regions, each containing exactly one of the items. (Note: The lines separate the items in the picture, not just on the table. I.e. if the lines were drawn on the table, no part of them would be hidden behind any items.)

The 4 lines meet the edge of the table in 8 points. Number the points from 1 to 8, clockwise from the top (so point 1 is to the right of the salad bowl). Then label each line by its lowest-numbered point. For example, if a line passes through points 3 and 6, then that's line #3.

The coordinates of the cache are:

      N 40º 44.ABC    W 124º 11.DEF

where:

A is the sum of the numbers of the lines around the salt shaker;

B is the product of the numbers of the lines around the salad bowl;

C is the number of items to the right of line #4;

D is the number of lines that pass between the candle and the flowers;

E is the sum of the numbers of the lines around the flowers;

F is the number of lines around the salt shaker.

Instead of printing the full color picture, you may prefer to print the outline below; it's black and white and uses less ink.

Thanks to Roamin Ronin and hidegoseek for pointing out ambiguities in the original puzzle description. It's longer now; I hope it's also clearer.

Added Sep. 11, 2006: You can check your answers for this puzzle on Geochecker.com.

Additional Hints (No hints available.)