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donbadabon: Stopped by this morning and grabbed the container.
Thanks to all that visited.

There are two mathematical ways to solve this puzzle.

The first is the easiest:
Take the number of chairs - 427
Convert that to binary - 110101011
Move the left-most value to the right-most side -
101010111
Then convert that back to decimal - 343

The second:
You determine what power of 2 will go into the number.
Using 427:
2 ^ 8 + 171 = 427
Then multiply the '171' by 2, and add 1. (2*171) + 1 = 343.

GC116RP ▼

A cache by donbadabon Message this owner

Hidden : 3/20/2007

Difficulty:

Terrain:

Size: Size: micro (micro)

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Geocache Description:

The cache is not at the listed location

Ok, here is the idea. I am going to ask you to choose a seat, any seat.

I am going to tell you how many seats are available
Then I am going to start eliminating every other seat until there is only 1 seat left
If you are sitting in that one remaining seat, you will get the coords for the final

Here is an example:

Let's say there are 5 chairs available, and we will number them from 1 to 5.

Now pick a chair where you want to sit, and let's see if you chose the right one.

Starting with chair 1, I am going to keep every other chair, and also eliminate every other chair. Like this:

1-Keep, 2-Eliminate, 3-Keep, 4-Eliminate, 5-Keep...

So after the first round, if you were sitting in chairs 2 or 4, you are out. If you are in chairs 1, 3 or 5, you are still in the running.

So we continue where we left off. We kept chair 5, so we will eliminate chair 1:

1-Eliminate, 3-Keep, 5-Eliminate

And we are done. If you chose chair 3, you were right!

Let's do 1 more scenario, with 8 chairs. Which chair should you choose in order to stay in the game?

Round 1: 1-Keep, 2-Eliminate, 3-Keep, 4-Eliminate, 5-Keep, 6-Eliminate, 7-Keep, 8-Eliminate
Round 2: 1-Keep, 3-Eliminate, 5-Keep, 7-Eliminate
Round 3: 1-Keep, 5-Eliminate

So if you chose chair 1, you were right!

So as you can see, we are just eliminating every other chair until we only have 1 chair left.

Now, onto the puzzle. I am going to give you the total number of chairs. Then you figure out which

chair will be the lone survivor, and that chair number will be the decimal portion of the latitude and longitude.

Here we go:

A. There are 427 chairs. The surviving chair will be the Latitude decimal minutes.

B. There are 3 chairs. The surviving chair will be the Longitude decimal minutes.

The final coords are
38 51.A
77 19.B

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

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Musical Chairs Mystery Cache

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