POUR1 - Pouring water
Given two vessels, one of which can accommodate a litres of water and the other - b litres of water, determine the number of steps required to obtain exactly c litres of water in one of the vessels.
At the beginning both vessels are empty. The following operations are counted as 'steps':
- emptying a vessel,
- filling a vessel,
- pouring water from one vessel to the other, without spilling, until one of the vessels is either full or empty.
Input
An integer t, 1<=t<=100, denoting the number of testcases, followed by t sets of input data, each consisting of three positive integers a, b, c, not larger than 40000, given in separate lines.
Output
For each set of input data, output the minimum number of steps required to obtain c litres, or -1 if this is impossible.
Example
2 5 2 3 2 3 4Sample output:
2 -1
hide comments
Ankush :
2015-06-05 10:54:32
WA with Extended GCD :/
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harshit sharma:
2015-05-31 13:33:24
cleared from todo list after 6 months :)....hint-> first solve EASY JUG
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piyush:
2014-12-16 13:02:21
nice question |
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Ravi Kumar:
2014-06-11 08:53:41
Answer for 10 7 6 is 6
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sai spoorthy:
2014-05-26 12:59:18
can anyone tell me how ans of 10 7 6 is 6 steps???@ALEX |
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Alex:
2014-05-04 19:45:28
@Shantanu Banerjee no, the answer should be 1 step because of "At the beginning both vessels are empty". Last edit: 2014-05-04 19:46:34 |
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Alex:
2014-05-04 19:39:45
@apoorvneema 6 steps Last edit: 2014-05-04 19:40:17 |
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Adi Wibowo P:
2014-05-04 17:17:29
what's the formula please? |
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Shantanu Banerjee:
2014-02-15 11:59:54
@Mohit if 4 2 2 , the answer should be 0 |
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ABHISHEK004:
2014-01-16 15:52:59
done using simple adhoc method ... :) |
Added by: | adrian |
Date: | 2004-05-31 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: NODEJS PERL6 VB.NET |
Resource: | An ancient problem, formulated in these words by Mr Tadeusz Ratajczak |