Re: Puzzle challenge:
----- Original Message -----
From: "Patrick Barnes" <mrtrick at gmail.com>
To: "Euphoria Mailing List" <EUforum at topica.com>
Sent: Monday, August 09, 2004 8:24 PM
Subject: Puzzle challenge:
>
>
> It's not original, but it's an interesting puzzle:
>
> Part A:
> You're doing tolerance testing on new high-strength crystal balls, and
> want to find out how much height they can be dropped from. You've been
> given two orbs to work with,
which may or may not be equivalent in size or density,
> and you intend to drop them from floors
> of an office building with a hundred floors (starting at floor 1, just
> above the ground).
>
> Naturally, once one of your orbs breaks, you can't reuse it. Both of
> the glass orbs are manufactured to the same grade,
but because they are not necessarily equal in size or density they would not
necessarily break on the same floor; even if they had an equal impact
tolerance, the actual impact of one could be greater than the other.
> so they will both
> break above a certain height, and both won't break below that.
If this were the case, they would have to be manufactured to
<i>different</i> grades to compensate for a higher impact velocity.
> What is the minimum number of 'drop tests' you have to perform to
> identify the top floor from which the glass orbs will survive a drop?
> (Worst case scenario)
>
> Part B:
> Can you generalise this to f floors and b balls? What if f = 1000000
> and b = 500?
Then you would be wasting a lot of time and money paying for balls only to
drop them a million times waiting for one to shatter.
> --
> MrTrick
>
>
>
>
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