[algogeeks] Algo.. phone book

2007-11-07 Thread Rajat Gogri
If you have to implement a phone book of 10 millin people in NYC, what data structure would you use and why ? Show the implementation if HashTable or Binary Trees? Thanks, Raj --~--~-~--~~~---~--~~ You received this message because you are subscribed to the Google

[algogeeks] Re: Summation formules

2007-11-07 Thread chandra kumar
By expanding both log (n!) and n log n log (n!) = log n + log (n-1) + .. + log 2 + log 1, n terms here n log n = log n + log n + .. + log n + log n, and n terms here n log n*>*log (n!), n > 1 n log n=log (n!)

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread Ajinkya Kale
On 11/7/07, anvera <[EMAIL PROTECTED]> wrote: > > > Why not? Does order really matters here? Look at the symmetry of the > problem. Put 3,4,5,5 and then 4,5,6,7 at the right side. Look at the > solutions. How they differ? Is this natural? Though the order is not imp you cant tell which 2 variable

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread Yingjie Xu
sort the sums, call them s1, s2, s3,..., satisfy s1 <= s2 <= s3 <= and set the n integers by a1, a2, a3, satisfy a1 <= a2 <= a3 <= so we can sure that s1 = a1 + a2, and s2 = a1 + a3, and what is a2 + a3? only a1 + a4, a1 + a5, ..., a1 + an can less than a2 + a3, so a2 + a3 is one of s3, s4, ...

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread anvera
Why not? Does order really matters here? Look at the symmetry of the problem. Put 3,4,5,5 and then 4,5,6,7 at the right side. Look at the solutions. How they differ? Is this natural? On Nov 7, 6:55 pm, Andrey <[EMAIL PROTECTED]> wrote: > Won't work. > You just can't build such a system, because y

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread Andrey
Won't work. You just can't build such a system, because you don't know in which order values should appear in right part of system. Say, we have the follwing input of 6 numbers: 3, 4, 5, 5, 6, 7 and we are supposed to find 4 values (4 * (4 - 1) / 2 = 6) x1, x2, x3, x4 What the system will look

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread Ajinkya Kale
check out : http://groups.google.co.in/group/programming-challenges/browse_thread/thread/f9e5436fbc6dbc56?hl=en # On 11/7/07, anvera <[EMAIL PROTECTED]> wrote: > > > I have not developed entirely the idea, but I am sure it works. > Just write the corresponding linear system. You will have n unk

[algogeeks] Re: Finding the n integers given the set of sums.

2007-11-07 Thread anvera
I have not developed entirely the idea, but I am sure it works. Just write the corresponding linear system. You will have n unknowns and n(n-1)/2 equations. Provided that the system is consistent you can find a solution by Gaussian elimination. For the complexity, you can do it in less than n^3/3

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[algogeeks] Finding the n integers given the set of sums.

2007-11-07 Thread Andrey
Any set of n integers form n(n 1)/2 sums by adding every possible pair. The task is to find the n integers given the set of sums. Any ideas? I've found out the solution but I doubt it the best one... --~--~-~--~~~---~--~~ You received this message because you

[algogeeks] Finding the n integers given the set of sums.

2007-11-07 Thread Andrey
Any set of n integers form n(n - 1)/2 sums by adding every possible pair. The task is to find the n integers given the set of sums. Any ideas? I've found out the solution but I doubt it the best one... --~--~-~--~~~---~--~~ You received this message because you