It's not right.....

On Sun, Jan 30, 2011 at 4:19 PM, Nich01as <nicholas.zha...@gmail.com> wrote:

> @Wei.Qi
> the algorithm is right, but the running time is ...?
>
>
> define Pi the amount of petrol each pumps has.
> Di is the distance between Ith and i+1th pumps.
>
> then we can double the circle, we can get to sequence
> p1, p2, p3, p4...pn, p1, p2, p3..pn
> d1, d2, d3, d4...dn, d1, d2, d3..dn
>
> the problem will become to find a subsequence in above sequences with
> length N
> where sum(P(start, start+i)) >= sum(D(start, start+i)) for any 0<=i<N.
>
> change those two sequences to below one.
> p1-d1, p1+p2-d1-d2, p1+p2+p3-d1-d2-d3 ..... p1+p2+..+p2-d1-d2...-dn
> make the sequence as
> s1, s2, s3, s4...sn, s1, s2..sn
>
> finally the problem becomes to find a subsquence in Sn start at element j
> where S(j+i) >= Sj and Sj >= 0.
> So it can be solved in NlogN....
>
> On Sun, Jan 30, 2011 at 1:47 PM, nishaanth <nishaant...@gmail.com> wrote:
>
>> @Wei.Qi.... Can you clarify when your algorithm terminates and also what
>> is  the running time of the algorithm ?
>>
>>
>> On Sun, Jan 30, 2011 at 9:46 AM, yq Zhang <zhangyunq...@gmail.com> wrote:
>>
>>> can you prove it?
>>>
>>> On Jan 29, 2011 6:38 PM, "Wei.QI" <qiw...@gmail.com> wrote:
>>> >
>>> > Starting with any pump A, try to finish the circle, if at pump B that
>>> can not reach pump B+1, it means all pumps from A to B can not finish the
>>> circle (it will go broke at pump B), then just start with B+1. After go
>>> through all the pumps start from some pump, we got an answer. if we go back
>>> to pump A and later, still can not find an answer, there is no answer.
>>> >
>>> > On Sat, Jan 29, 2011 at 4:38 AM, sankalp srivastava <
>>> richi.sankalp1...@gmail.com> wrote:
>>> >>
>>> >> I'm sure you have misstated the problem statement
>>> >>
>>> >> just find out the total path length and return the first petrol pump
>>> >> which gives you the required milage
>>> >> go greedy
>>> >>
>>> >> On Jan 28, 5:09 pm, bittu <shashank7andr...@gmail.com> wrote:
>>> >> > There are N petrol pumps along a circular path. Every petrol pump
>>> >> > gives some amount of fixed petrol. Need not to be unique and in no
>>> >> > particular order means it is random. We have a car and we need to
>>> find
>>> >> > a petrol pump which can provide so much of petrol that we can take a
>>> >> > full of the circle. Mileage of car is fixed.
>>> >> > Distance between adjacent petrol pumps are given.
>>> >> >
>>> >> > Thanks & Regards
>>> >> > Shashank
>>> >>
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>>
>>
>> --
>> S.Nishaanth,
>> Computer Science and engineering,
>> IIT Madras.
>>
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>
>
>
> --
> Southeast University
> Nicholas.Zhaoyu
>



-- 
Southeast University
Nicholas.Zhaoyu

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