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A possibly more palatable answer to utility puzzle

 
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Ghost Post
Icarian Member



PostPosted: Tue Jul 11, 2000 3:01 pm    Post subject: 1 Reply with quote

OK I've never used UBB before so I don't konw how this will look. If it doesn't come out right, I can just post a corrected reply I guess.

code:

+--------------------+
| +------------+|
O---+ O+ +-O-+ | |
1| | 2| | |3| | | |
| | | |+--+ | | | |
| | | || +--+ | | |
| | | || | | | |
+--+ | +--+ | +--+---+|
|1 | +-|2| | | |3 |----+
+--+ +--+ | +--+
| | | |
|+------+ |
+----------+



Here we have the houses as boxes on the bottom and utilities as O's on top. The third house connects to each by reaching around the top from the right. The middle house connects most directly to each. The first house connects to the first utility directly, to the third utility with a path going under the second house and then up, and to the second utility with a path that passes through the second house. Each house is connected to each utility and no connection crosses another.
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Ghost Post
Icarian Member



PostPosted: Tue Jul 11, 2000 3:17 pm    Post subject: 2 Reply with quote

OK that didn't work, so I drew up a little picture. Please go to http://people.cornell.edu/pages/srs25/utilities.gif .
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Quailman
His Postmajesty



PostPosted: Tue Jul 11, 2000 3:26 pm    Post subject: 3 Reply with quote

Great diagram. You could also show it this way: This is cadar's diagram.

I agree. The directions say nothing about prohibiting easements through the basement of one home. That would prevent the lines from crossong.
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CheapBastid
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PostPosted: Tue Jul 11, 2000 9:22 pm    Post subject: 4 Reply with quote

It has a solution that doesn't require basement crossings. I have a bitmap that I'll get onto a server and show y'all.
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CheapBastid
Guest



PostPosted: Tue Jul 11, 2000 9:29 pm    Post subject: 5 Reply with quote

www.isdeveloper.com/cigar/utilities.bmp
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daniel801
Daedalian Member



PostPosted: Tue Jul 11, 2000 9:44 pm    Post subject: 6 Reply with quote

That doesn't work because House A is not connected to Utility B.
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Quailman
His Postmajesty



PostPosted: Tue Jul 11, 2000 9:46 pm    Post subject: 7 Reply with quote

Picky, picky! At least none of the lines cross.
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HyToFry
Drama queen



PostPosted: Tue Jul 11, 2000 10:01 pm    Post subject: 8 Reply with quote

Little help for Cheap Bass Turd



[This message has been edited by HyToFry (edited 07-11-2000).]
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Wonko the Sane
Daedalian Member



PostPosted: Thu Jul 13, 2000 3:42 am    Post subject: 9 Reply with quote

Sorry HyToFry, that's no good either. You've got utility B connected to house 3 twice. You can't solve this problem in Euclidean space. It's easy in 3-space, but that solution has already been posted.

------------------
It's not the size of the spork, it's whether or not it's made of #7 recyclable plastic.
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HyToFry
Drama queen



PostPosted: Thu Jul 13, 2000 2:33 pm    Post subject: 10 Reply with quote

lol, Wonko, thats not my solution, I was just helping to post it, cheap bastid, just put a link, so I posted the pic
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CheapBastid
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PostPosted: Fri Jul 14, 2000 11:11 pm    Post subject: 11 Reply with quote

Damn!

=)
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