CIRCLE_E - Three Circle Problem (EASY)
Given 3 distinct circles with positive integer radius R1, R2, and R3, and arranged like in the picture below:
Now, your task is to compute radius of small circle that can be created like yellow circle in the picture above. All circles in the picture above tangent each other.
Input
The first line in the input data, there is an integer T(0 < T ≤ 103) denoting number of test cases, than T lines follow.
For each lines, there are three integer R1, R2, and R3, (0 < {R1,R2,R3} < 109) denoting radius of each circle like in the picture above.
Output
For each test case, output radius of small circle that can be made, like in the picture above. Any output with absolute error less than 10-6 is accepted.
Example
Input: 3 1 1 1 10 10 10 23 46 69 Output: 0.154701 1.547005 6.000000
You can see my submission history and time record for this problem: here
hide comments
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Anubhav Balodhi :
2014-03-19 09:22:15
Geometry at its very best. Ac |
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Vipul Pandey:
2014-01-25 19:42:28
as the name suggests- easy. |
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sarelfeniel:
2014-01-24 07:54:08
Cute problem. Thank goodness I paid attention in the geometry course where we covered such interesting results. |
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aditya prakash:
2014-01-03 01:44:28
200th AC |
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kk:
2013-09-23 23:02:51
i'm getting WA..pls check id-10102432 |
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Udit Kumawat:
2013-08-17 09:10:27
@C-NINJA thanks :D |
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plash batra:
2013-08-05 18:30:20
my 50th problem AC :) |
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Anant Kumar:
2013-07-13 11:03:37
Just a theory search on wiki and you are good to go. |
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coding_express:
2013-07-13 08:08:53
please move it to tutorial
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pika_pika:
2013-07-13 07:49:58
thanks @C-NINJA |
| Added by: | Tjandra Satria Gunawan |
| Date: | 2013-04-05 |
| Time limit: | 1s |
| Source limit: | 10000B |
| Memory limit: | 1536MB |
| Cluster: | Cube (Intel G860) |
| Languages: | All except: ASM64 |
| Resource: | Own Problem |
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