10216 - The Optimal Coffee Shop!!

All about problems in Volume 102. If there is a thread about your problem, please use it. If not, create one with its number in the subject.

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Even
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10216 - The Optimal Coffee Shop!!

Post by Even » Thu Aug 15, 2002 3:54 pm

if input like
1 2 3 or 3 4 7 that is a = b = c
what is the output ??

and can anybody give me more examples...thank you :)

or give me the output for

3
1 2 3
3 4 5
10000 10000 1

wyvmak
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Post by wyvmak » Sun Sep 01, 2002 9:57 am

in case you haven't got AC yet.

my output:
3.000 3.000 3.333 -1.000
6.766 6.813 6.918 7.500
10000.866 10000.914 13333.333 15000.000

Even
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><

Post by Even » Mon Sep 02, 2002 5:05 am

if a,b,c can't form a triangle...should output be
-1.000 -1.000 -1.000 -1.000 ??

and how to find the DM...optimal??

I try to search from I( x, y ) ...

but I don't know if the answer is correct
( through it's correct to the sample above... )

wyvmak
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Post by wyvmak » Mon Sep 02, 2002 12:53 pm

DM is called Fermat point, a search engine will tell you about it. one thing, there're two cases for Fermat point. [i'm surprised that Fermat is such a great mathematician]

if a triangle cannot be formed, only circumcentre is -1. other values still can be obtained. i think you would know what should they be.

Even
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Post by Even » Mon Sep 16, 2002 3:12 pm

if the input

2
123 112 12
110 100 20

what is the output ?? thank you :p

Even
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Post by Even » Mon Sep 16, 2002 3:59 pm

thanks.... I got AC...

and the answer above is

124.000 125.579 156.783 440.617
119.940 121.590 141.678 182.281

arif_pasha
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Post by arif_pasha » Wed Feb 01, 2006 11:02 am

wyvmak wrote:if a triangle cannot be formed, only circumcentre is -1. other values still can be obtained. i think you would know what should they be.
i dont understand how the distance from the incenter can be measured.. :(. can anyone provide some testcases? thnx

arif_pasha
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Post by arif_pasha » Wed Feb 01, 2006 11:23 am

now i understand how can i find the radius of the incircle even if the points are colinear. but still wa..
can someone provide results for the following test cases:

6
1 2 3
5 5 9
100 100 100
10000 10000 1000
1000 1000 2000
10000 5000 5500

my output:
3.000 3.000 3.333 -1.000
9.974 10.381 10.569 17.206
173.205 173.205 173.205 173.205
10853.518 10892.028 13391.331 15018.785
2000.000 2000.000 2000.000 -1.000
10262.391 10940.191 11136.782 25800.942

arif_pasha
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Post by arif_pasha » Wed Feb 01, 2006 11:44 am

at last.. i got it accepted..
:)

xiaomengxian
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Post by xiaomengxian » Tue Mar 13, 2007 5:38 am

What is the trick? Could you tell me, please?
I tried all the tests above, but still get WA..

xiaomengxian
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Post by xiaomengxian » Wed Apr 25, 2007 3:49 pm

I've made a stupid mistake... Now I get AC

baodog
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Degenerate Triangles

Post by baodog » Tue Jul 10, 2007 9:56 am

A note about degenerate triangles:
If a>b+c, how is anything defined? You can place
the vertices arbitrarily ... and it's still not a Triangle as stated.
So -1.000 -1.000 -1.000 -1.000 if a triangle cannot
be formed at all.

Jan
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Post by Jan » Tue Sep 11, 2007 1:47 am

Well, I was little bit confused for arif_pasha's cases. However, all of them are not correct I think. Here are the cases.

Input:

Code: Select all

11
5 5 9
1 2 3
100 100 100
10000 10000 1000
1000 1000 2000
10000 5000 5500
123 112 12
110 100 20
1 2 3
3 4 5
10000 10000 1
Output:

Code: Select all

10.000 10.381 10.569 17.206
3.000 3.000 3.333 -1.000
173.205 173.205 173.205 173.205
10853.518 10892.028 13391.331 15018.785
2000.000 2000.000 2000.000 -1.000
10500.000 10940.191 11136.782 25800.942
124.000 125.579 156.783 440.617
119.940 121.590 141.678 182.281
3.000 3.000 3.333 -1.000
6.766 6.813 6.918 7.500
10000.866 10000.914 13333.333 15000.000
Hope these help.
Ami ekhono shopno dekhi...
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