Considering sequence 1, 2, 3, 4, 4 and n = 5 lets have missing number as X and repeated number as Y.
(1*2*3*4*4)/n! = 4/5=Y/X => 5Y = 4X => Y=4X/5 (sum of all numbers) + X - Y = n(n+1)/2. 14 + X - Y = 15 X-4X/5=1 X = 5 ---> missing value is 5. Y = 4 --> repeated value. On Wed, Oct 20, 2010 at 7:26 PM, Dave <dave_and_da...@juno.com> wrote: > @Mahesh: Let's try this on 1, 2, 3, 4, 4. Then S = 14 and X_SUM = 0. > But the duplicate element is 4, not (14-0) / 2 = 7. > > Dave > > On Oct 20, 5:49 am, Mahesh_JNU <mahesh.jnumc...@gmail.com> wrote: > > Just add the number of the array and let the sum is S. Its complexity is > > O(n). > > Now XOR all elements of the array and say the result is X_SUM.Its > complexity > > is O(n). > > Now the duplicate element is = (S - X_SUM)/2 > > > > On Wed, Oct 20, 2010 at 4:14 PM, Asquare <anshika.sp...@gmail.com> > wrote: > > > @Anirvana - In context to the XOR method u suggested, could u plz > > > explain why does it so happen.. ?? > > > > > -- > > > You received this message because you are subscribed to the Google > Groups > > > "Algorithm Geeks" group. > > > To post to this group, send email to algoge...@googlegroups.com. > > > To unsubscribe from this group, send email to > > > algogeeks+unsubscr...@googlegroups.com<algogeeks%2bunsubscr...@googlegroups.com> > <algogeeks%2bunsubscr...@googlegroups.com> > > > . > > > For more options, visit this group at > > >http://groups.google.com/group/algogeeks?hl=en. > > > > -- > > Mahesh Giri > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to algoge...@googlegroups.com. > To unsubscribe from this group, send email to > algogeeks+unsubscr...@googlegroups.com<algogeeks%2bunsubscr...@googlegroups.com> > . > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > > -- Thanks & Regards, Karthik -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
