Best way to search for a saturation value in a sorted list

Posted by AB Kolan on Stack Overflow See other posts from Stack Overflow or by AB Kolan
Published on 2009-03-07T14:24:09Z Indexed on 2010/06/14 8:42 UTC
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A question from Math Battle. This particular question was also asked to me in one of my job interviews.

" A monkey has two coconuts. It is fooling around by throwing coconut down from the balconies of M-storey building. The monkey wants to know the lowest floor when coconut is broken. What is the minimal number of attempts needed to establish that fact? "

Conditions: if a coconut is broken, you cannot reuse the same. You are left with only with the other coconut

Possible approaches/strategies I can think of are

  • Binary break ups & once you find the floor on which the coconut breaks use upcounting from the last found Binary break up lower index.
  • Window/Slices of smaller sets of floors & use binary break up within the Window/Slice (but on the down side this would require a Slicing algorithm of it's own.)

Wondering if there are any other way to do this.

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