OK, Try to figure this one out.

This is a discussion on OK, Try to figure this one out. within the Off Topic & Humor Discussion forums, part of the The Back Porch category; Three houses (A,B, and C) have just been constructed, and now the utilities (Water, Electricity, and Phone) need to be installed. The junction for each ...

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Thread: OK, Try to figure this one out.

  1. #1
    Distinguished Member Array p8riot's Avatar
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    OK, Try to figure this one out.

    Three houses (A,B, and C) have just been constructed, and now the utilities (Water, Electricity, and Phone) need to be installed. The junction for each utility is separate and each house must be supplied directly (no branch lines), to add to the dificulty no lines must cross.

    Use the diagram below to solve it.
    Last edited by p8riot; December 1st, 2006 at 01:39 PM.
    "You can get more with a kind word and a gun than you can with a kind word alone." - Al Capone

    The second amendment is the reset button of our Constitution.

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  3. #2
    Distinguished Member Array BCurry1's Avatar
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    After spending the last half hour on this puzzle, I could only get 8 lines. So i consulted the internet, and it turns out, it cant be solved.

    It is known as the Turan Brickyard Problem. The formula says this let n = the number of houses and m = the number of utilities. Then the minimum crossing number is known by the formula
    Cr(n,m) = [n/2] [(n-1)/2] [m/2] [(m-1)/2] where [x] denotes the integer part of x.
    So the minimum crossing number of Cr(3,3) = [1.5] [1] [1.5] [1] = 1 * 1 * 1* 1 = 1.
    So they can NOT be connected without crossing.
    Curry

  4. #3
    Distinguished Member Array p8riot's Avatar
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    Quote Originally Posted by BCurry1 View Post
    After spending the last half hour on this puzzle, I could only get 8 lines. So i consulted the internet, and it turns out, it cant be solved.
    So, thats why I could never do it.

    Just thought someone else might have had better success than me.

    Thanks!
    "You can get more with a kind word and a gun than you can with a kind word alone." - Al Capone

    The second amendment is the reset button of our Constitution.

  5. #4
    Senior Member Array Wayne's Avatar
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    This is easy. The only problem would be the very last line going to the first house. It would look as if it would have to cross the line. No, I have worked in the communications squadran so what you do is run the phone cable UNDER the water vault (not line) (A).

    So, no lines cross and and all the houses are direct connected

    Wayne

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    Senior Member Array ssssthesnake's Avatar
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    this proublem often comes up on pipe fitting tests

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