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Problem for week 40

Discussion in 'Training & Development' started by Tinus1959, Sep 30, 2007.

  1. Tinus1959

    Tinus1959 Gigabyte Poster

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    Hi guys and gals,

    I still have a problem not having a computer problem for you, so here's a mathematical one.

    There is this major tennis tournament. 500 players are in the games. The rules are simpel, when you lose, you are out. If the number of players is an odd number, one player goes on to the next round without playing.
    In the end there is only one winner.

    Howmany matches are played in the contest?

    The answer is not the most important thing, the way to calculate is, so please tell me how you did it.
     
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  2. Sparky
    Highly Decorated Member Award

    Sparky Zettabyte Poster Moderator

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    499 games in total (I think!) :biggrin


    Players | Playing | Games
    -------------------------
    500------500------250
    250------250------125
    125------124------62 - 1 goes through
    63-------62-------31 - 1 goes through
    32-------32-------16
    16-------16-------8
    8--------8--------4
    4--------4--------2
    2--------2--------1
     
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  3. Tinus1959

    Tinus1959 Gigabyte Poster

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    Answer is correct, but you are calculating to much.
     
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  4. Sparky
    Highly Decorated Member Award

    Sparky Zettabyte Poster Moderator

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    I always do that :biggrin
     
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    WIP: Exchange 2007\2010
  5. nugget
    Honorary Member

    nugget Junior toady

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    You calculate it by the formula x=n-1.

    It was always the right answer in calculus at uni so I don't see why not here.:biggrin
     
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  6. Mr.Cheeks

    Mr.Cheeks 1st ever Gold Member! Gold Member

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    How can you over calculate something when the answer is correct?

    Im not trying to be rude or funny here, but how is that possible?
     
  7. Tinus1959

    Tinus1959 Gigabyte Poster

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    It's much easier:biggrin (but in fact, it is the answer)
     
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  8. Tinus1959

    Tinus1959 Gigabyte Poster

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    I'll explain in a few days. I don't want to spoil the fun.
     
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  9. Tinus1959

    Tinus1959 Gigabyte Poster

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    No other replies, so here is how and why.
    Solving this 'problem' was not that difficult. It was meant to train thinking out of the box. Many times you can solve a problem with far less energy if you just let it sink in for some time.
    Lets look at the problem again. 500 people playing tennis. Who looses is out. There is just one winner, so 499 people lost. That has to give me 499 games.

    Solved without any calculation. :biggrin
     
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