Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-26 Thread Kishore
Go thru this
http://stackoverflow.com/questions/8650827/sample-testcase-for-interviewstreet-equationsyou
should be able to solve the question

On Tue, Jun 26, 2012 at 1:58 AM, prakash y yprakash@gmail.com wrote:

 @Vishal,
 If the output should be the total no.of pairs, then i think there are
 infinite no.of such pairs. but not sure.
 Can someone provide me the link to the actual problem and some analysis of
 solution?

 Thanks,
 ~Prakash.

 On Mon, Jun 25, 2012 at 9:45 PM, Kumar Vishal kumar...@gmail.com wrote:

Sorry My Mistake *Number of pairs should be OUTPUT...*


 On Mon, Jun 25, 2012 at 8:49 PM, prakash y yprakash@gmail.comwrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-26 Thread Kumar Vishal
 @Kishore
   in below link no one deals with how to calculate or escape calculating
factorial (n)

On Tue, Jun 26, 2012 at 12:28 PM, Kishore kkishoreya...@gmail.com wrote:

 Go thru this
 http://stackoverflow.com/questions/8650827/sample-testcase-for-interviewstreet-equationsyou
  should be able to solve the question


 On Tue, Jun 26, 2012 at 1:58 AM, prakash y yprakash@gmail.com wrote:

 @Vishal,
 If the output should be the total no.of pairs, then i think there are
 infinite no.of such pairs. but not sure.
 Can someone provide me the link to the actual problem and some analysis
 of solution?

 Thanks,
 ~Prakash.

 On Mon, Jun 25, 2012 at 9:45 PM, Kumar Vishal kumar...@gmail.com wrote:

Sorry My Mistake *Number of pairs should be OUTPUT...*


 On Mon, Jun 25, 2012 at 8:49 PM, prakash y yprakash@gmail.comwrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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 --
 Regards
 Kumar Vishal
 _
 *http://wethecommonpeople.wordpress.com/   *
 *h**ttp://kumartechnicalarticles.wordpress.com/http://kumartechnicalarticles.wordpress.com/
 *
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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-26 Thread Kumar Vishal
@ SAM Thanks

On Tue, Jun 26, 2012 at 8:21 PM, SAMM somnath.nit...@gmail.com wrote:

 1 /x  + 1/y  = 1/(n!)
 * Consider N = n! , *
 *The Equation becoz :-*

 1/x + 1/y = 1/N
 or  (x+y)/xy = 1/N
 or  N( x + y ) = xy

 *Changing sides we get :-*
   xy - N(x+y) = 0

 *Adding N^2 on both sides we get :-*
  xy - N( x +  y) + N^2 = N^2
 or  xy - Nx - Ny + N^2 = N^2
 or  x(y - N) -  N (y - N ) = N^2
 or  (x - N) (y - N) = N^2


 From this equation we find that we can find the number of solution equal
 to the total number of divisors of (N ^ 2) .or ( n! ^2) .

 So you need to find the divisors of the square of the n! which can be done
 by finding the primes factor of the n! 

 For example :-  n!  = p1^a * p2^b *  pn^x     *[ p1 , p2 ..
 pn are the prime factors ]*

 (n1 ^ 2) = p1^2a * p2^2b *  pn^2x

 So the number of divisors are *(2a + 1) * (2b +1 ) *  (2x
 + 1) *.. You need to calculate this ...

 No need to calculate the factorial  just need to check for the prime
 factor from (2 to n ) .

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[algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread Roshan
Few Months back I found the problem 
on Code Sprint 
1/x + 1/y = 1/N! (N factorial).   For large value of N 
we have to find the par of (X,Y) which satisfy the equation 
my sol was slow , 
can any pleas help me .

Thanks
Kumar Vishal 

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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread prakash y
2! - x=y=4
3! - x=y=12
4! - x=y=48
5! - x=y=240
6! - x=y=1440
I don't have proof to prove x = y always.
But if x=y, then the answer should be x=y=2*n!

On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread Kishore
This is from interviewstreet named with equations

On Mon, Jun 25, 2012 at 11:19 AM, prakash y yprakash@gmail.com wrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

 --
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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread Kumar Vishal
@Prakash
   The Pattern given by u is because factorial (n) is always *even *so u
can always divide them
   in two equal part .
   what about
   1/6= 1/8 + 1/24( 6  = factorial (3))

On Mon, Jun 25, 2012 at 11:24 PM, Kishore kkishoreya...@gmail.com wrote:

 This is from interviewstreet named with equations


 On Mon, Jun 25, 2012 at 11:19 AM, prakash y yprakash@gmail.comwrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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*h**ttp://kumartechnicalarticles.wordpress.com/http://kumartechnicalarticles.wordpress.com/
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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread Kumar Vishal
   Sorry My Mistake *Number of pairs should be OUTPUT...*

On Mon, Jun 25, 2012 at 8:49 PM, prakash y yprakash@gmail.com wrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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Kumar Vishal
_
*http://wethecommonpeople.wordpress.com/   *
*h**ttp://kumartechnicalarticles.wordpress.com/http://kumartechnicalarticles.wordpress.com/
*
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Re: [algogeeks] Find the Pair of X,Y [ 1/x + 1/y = 1/N! ]

2012-06-25 Thread prakash y
@Vishal,
If the output should be the total no.of pairs, then i think there are
infinite no.of such pairs. but not sure.
Can someone provide me the link to the actual problem and some analysis of
solution?

Thanks,
~Prakash.

On Mon, Jun 25, 2012 at 9:45 PM, Kumar Vishal kumar...@gmail.com wrote:

Sorry My Mistake *Number of pairs should be OUTPUT...*


 On Mon, Jun 25, 2012 at 8:49 PM, prakash y yprakash@gmail.com wrote:

 2! - x=y=4
 3! - x=y=12
 4! - x=y=48
 5! - x=y=240
 6! - x=y=1440
 I don't have proof to prove x = y always.
 But if x=y, then the answer should be x=y=2*n!

 On Mon, Jun 25, 2012 at 5:04 PM, Roshan kumar...@gmail.com wrote:

 Few Months back I found the problem
 on Code Sprint
 1/x + 1/y = 1/N! (N factorial).   For large value of N
 we have to find the par of (X,Y) which satisfy the equation
 my sol was slow ,
 can any pleas help me .

 Thanks
 Kumar Vishal

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 --
 Regards
 Kumar Vishal
 _
 *http://wethecommonpeople.wordpress.com/   *
 *h**ttp://kumartechnicalarticles.wordpress.com/http://kumartechnicalarticles.wordpress.com/
 *
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