[algogeeks]

2010-12-11 Thread parth panchal
how are you

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Re: [algogeeks]

2010-12-11 Thread Abhishek Goswami
Is it any puzzle

On 11 Dec 2010 16:07, parth panchal parthpancha...@gmail.com wrote:

how are you

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Re: [algogeeks] Longest interval with maximum sum

2010-12-11 Thread ADITYA KUMAR
@amir can u explain a bit more...
On Tue, Dec 7, 2010 at 10:09 PM, Amir hossein Shahriari 
amir.hossein.shahri...@gmail.com wrote:

 @jai : since sum of all values in C is between -n and n the last step can
 be done in O(n) time and O(n) space


 On Sun, Dec 5, 2010 at 12:44 PM, jai gupta sayhelloto...@gmail.comwrote:

 @fenghuang: the last step will take O(n logn ) . Or there is some better
 way?

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Regards
Aditya Kumar
B-tech 3rd year
Computer Science  Engg.
MNNIT, Allahabad.

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[algogeeks] find the number.

2010-12-11 Thread Naresh A
Given range of numbers between A and B (A= B)
Find the number within given range which has more number of iterations as
per the following

 n { stop ; return iteration number }  if n=1;
 n = 3n+1  if n is odd
 n =  n/2  if n is even

for eg :

n=3 odd

n=10;
n=5;
n=16;
n=8;
n=4;
n=2;
n=1;

iterations : 7

-- 
*
Time complexity= (n^2)


*
*NARESH ,A*
**

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[algogeeks] Re: find the number.

2010-12-11 Thread Dave
@Naresh: The sequence of numbers generated by this rule for any given
starting number is called a Collatz Sequence. Try googling it.

Here is a list of the number of iterations required for n between 1
and 10,000: http://oeis.org/A006577/b006577.txt. Maybe that will help.

Dave

On Dec 11, 7:20 am, Naresh A suryanar...@gmail.com wrote:
 Given range of numbers between A and B (A= B)
 Find the number within given range which has more number of iterations as
 per the following

      n { stop ; return iteration number }  if n=1;
      n = 3n+1                              if n is odd
      n =  n/2                              if n is even

 for eg :

 n=3 odd
 
 n=10;
 n=5;
 n=16;
 n=8;
 n=4;
 n=2;
 n=1;

 iterations : 7

 --
 *
 Time complexity= (n^2)

 *
 *NARESH ,A*
 **

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RE: [algogeeks] Re: program for evaluation of remainders

2010-12-11 Thread Shiv Shankar
Hi,
  I agree with ankit sablok. And if we get the factorial of n in 1!, 2!, 3!
Etc. Then we can find the number easily. In its complexity will be O(N)
  


-Original Message-
From: algogeeks@googlegroups.com [mailto:algoge...@googlegroups.com] On
Behalf Of Dave
Sent: Friday, December 10, 2010 8:10 PM
To: Algorithm Geeks
Subject: [algogeeks] Re: program for evaluation of remainders

@Ankit: Why not just use the algorithm I proposed in
http://groups.google.com/group/algogeeks/msg/2941ab071a39517c:

x = 0;
for( i = (n  N ? n : N) ; i  0 ; --i )
x = (i * x + i) % n;

Dave

On Dec 10, 4:23 am, ankit sablok ankit4...@gmail.com wrote:
 @Dave
 we will use residues then i think the property of modulus

 1!mod997 + 2!mod997 + 3!mod997 .. + 997!mod997

 i just proposed the solution using congruences for the case
 nN

 can u generalize the problem using congruences if so then please post
 it
 thnanx in advance

 On Dec 9, 2:13 am, Dave dave_and_da...@juno.com wrote:



  @Ankit: So how does that work with, e.g., N = n = 997? I.e., what is
  the calculation?

  Dave

  On Dec 8, 11:33 am, ankit sablok ankit4...@gmail.com wrote:

   @ all the authors thanx for the suggestions actually wt i know about
   the problem is i think we can solve the problem mathematically if we
   know about congruences

   for instance
   if N=100
   1! + 2! + . + 100!
   and n=12

   we find that
   4!mod24=0

   hence the above equation reduces to the
   (1!+2!+3!)mod 12 =9
   hence the answer is 9

   so can anyone write a program for this logic

   On Dec 8, 6:19 pm, ankit sablok ankit4...@gmail.com wrote:

Q) can anyboy find me the solution to this problem

Given an integer N and an another integer n we have to write a
program
to find the remainder of the following problems
(1! + 2! + 3! + 4! + . + N!)mod(n)

N=100
n=1000;

please help me write a program for this problem
thanx in advance- Hide quoted text -

   - Show quoted text -- Hide quoted text -

  - Show quoted text -- Hide quoted text -

 - Show quoted text -

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[algogeeks] Re: program for evaluation of remainders

2010-12-11 Thread Dave
Are all of you talking about getting the result in closed form, so
that no loop is involved?

Other than mine, I haven't seen an implementation of a working
algorithm. Let's see your code!

My algorithm avoids calculating the factorials, which overflow 32-bit
integers for N  12, and is O(min(N,n)). When you beat that, let me
know.

Dave

On Dec 11, 10:15 am, Shiv Shankar mca.shivshan...@gmail.com wrote:
 Hi,
   I agree with ankit sablok. And if we get the factorial of n in 1!, 2!, 3!
 Etc. Then we can find the number easily. In its complexity will be O(N)



 -Original Message-
 From: algogeeks@googlegroups.com [mailto:algoge...@googlegroups.com] On

 Behalf Of Dave
 Sent: Friday, December 10, 2010 8:10 PM
 To: Algorithm Geeks
 Subject: [algogeeks] Re: program for evaluation of remainders

 @Ankit: Why not just use the algorithm I proposed 
 inhttp://groups.google.com/group/algogeeks/msg/2941ab071a39517c:

 x = 0;
 for( i = (n  N ? n : N) ; i  0 ; --i )
     x = (i * x + i) % n;

 Dave

 On Dec 10, 4:23 am, ankit sablok ankit4...@gmail.com wrote:
  @Dave
  we will use residues then i think the property of modulus

  1!mod997 + 2!mod997 + 3!mod997 .. + 997!mod997

  i just proposed the solution using congruences for the case
  nN

  can u generalize the problem using congruences if so then please post
  it
  thnanx in advance

  On Dec 9, 2:13 am, Dave dave_and_da...@juno.com wrote:

   @Ankit: So how does that work with, e.g., N = n = 997? I.e., what is
   the calculation?

   Dave

   On Dec 8, 11:33 am, ankit sablok ankit4...@gmail.com wrote:

@ all the authors thanx for the suggestions actually wt i know about
the problem is i think we can solve the problem mathematically if we
know about congruences

for instance
if N=100
1! + 2! + . + 100!
and n=12

we find that
4!mod24=0

hence the above equation reduces to the
(1!+2!+3!)mod 12 =9
hence the answer is 9

so can anyone write a program for this logic

On Dec 8, 6:19 pm, ankit sablok ankit4...@gmail.com wrote:

 Q) can anyboy find me the solution to this problem

 Given an integer N and an another integer n we have to write a
 program
 to find the remainder of the following problems
 (1! + 2! + 3! + 4! + . + N!)mod(n)

 N=100
 n=1000;

 please help me write a program for this problem
 thanx in advance- Hide quoted text -

- Show quoted text -- Hide quoted text -

   - Show quoted text -- Hide quoted text -

  - Show quoted text -

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 For more options, visit this group 
 athttp://groups.google.com/group/algogeeks?hl=en.- Hide quoted text -

 - Show quoted text -

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