Take 2 persons, suppose say A and B ask one of them the question about other if A Knows B, then A cannot be the celebrity, if A does not know B, then B cannot be the celebrity. add what remained to the remainder.
repeat this process for the remaining n-1 until one or none remained. Then if it is none then there is no celebrity. If there is one ask the question whether this person is known by remaining n-1 and this person does n't know the remaining n-1. So a total of 3(n-1) questions is used to determine the celeb. Time complexity is O(n). Repeat this for the remaining n-1 persons, if the remainder contain one then On Wed, Sep 22, 2010 at 9:37 PM, Divesh Dixit < dixit.coolfrog.div...@gmail.com> wrote: > Among n people, a celebrity is defined as someone who is known to > everyone, but who knows no > one. Design and analyze to identify the celebrity, if one exists, by > asking only questions of the > following form: "Excuse me, do you know person x?" You will get a > binary answer for each such > question asked. Find the celebrity by asking only O(n) questions. > > -- > 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. > > -- 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.
