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 -

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

2010-12-09 Thread haxxpop
@jai gupta

why is this work??
I think it just calculates (N+1)! %n

haxxpop

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

2010-12-08 Thread jai gupta
rem=1;
for(j=3;j=N+1;j++)
 rem=(rem*j)%n;
return rem;

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