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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prakash_reddy:
2015-08-21 19:59:37
Simply use the formula of soddy(inner) circle.... :) Last edit: 2015-08-21 19:59:57 |
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Mohd Ausaf Jafri:
2015-08-13 20:41:06
the inner soddy circle |
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Caesar Flickerman:
2015-06-04 12:01:32
Direct Formula!!!! |
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Apoorva:
2014-12-20 17:24:53
my submission id is 13223010..i am using descartes formula to solve this and i get the right answer on my compiler..but still i am getting wrong answer here...pls help |
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Vidur Katyal:
2014-08-31 13:08:10
in c/c++ take r1,r2,r3 as double. int costed me 2 WAs :( |
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Sankaranarayanan G:
2014-06-07 09:55:11
datatypes play a major role. got WA after many submissions of a silly mistake. |
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(Tjandra Satria Gunawan)(曾毅昆):
2014-06-03 20:45:18
@all: when I make this problem, I don't know there are famous name of this problem. I derive formula using basic geometry knowledge, without finding it on other sources :) Last edit: 2014-06-03 20:45:49 |
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`Ak:
2014-05-30 10:46:13
use scanf and printf instead of cin cout |
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simararorarox9:
2014-05-28 01:05:44
soddy circles for 3 tangent circles.. standard problem |
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pvkcse:
2014-05-23 21:40:08
looking like kissing circles and when i apply descartes formula something wrong occurs...more work for pen and paper...
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| 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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