A switch in time leaves on nine. Mystery Cache

This cache has been archived.

Beach_hut: Time to let this one go. Thanks to everyone who took the time to look for this one.

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Hidden : 7/24/2011
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size: micro (micro)

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Geocache Description:

The cache is not located at the above co-ords. But then you knew that.

Suppose you're in a hallway lined with 100 lights, each of which has a switch next to it. They are all switched off.

One day, you walk down the hallway and switch every light on.

The next day you go back and switch every second light off. (NB they were on to start with)

By this time some lights are switched on and some are off. On day 3, you walk down the corridor and switch every third light on if it was off to start with, and vice versa.

Repeat the process, such that on day N, you walk down the corridor and at every Nth light, switch it on if it is off, and off if it is on.

On the 100th day, you will naturally only visit the 100th light.

By the end of day 100, how many lights will remain switched on? (You can assume that the lights aren't interfered with in between your visits, and all of the bulbs will operate normally all the way to the end of day 100 i.e. none will blow)

(oh, and the answer implied by the cache title is fictitious!)

Once you have your answer, A:
Multiply it by 2. The resulting answer is BC.
Multiply A by 3. The resulting answer is HD.
Multiply H by 3. We'll call the resulting answer E.
Multiply E by 2. The resulting answer is FG.
Subtract H from A. You get J.
Multiply H by itself. You get K.
Mutiply H by J. You get LM.

The final cache is at N 52° HJ.BGL W 000° FK.CDE

You are looking for a dog tag. Please bring something to write with, and be economical when you write out the log. Parking is available at GZ, which is not wheelchair-friendly I'm afraid. :-(

Check your answer here: (visit link)

Additional Hints (No hints available.)



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