@Algoose, in worst case, this is still O(n^2), ain't it? On Wed, Dec 21, 2011 at 12:50 PM, Algoose chase <harishp...@gmail.com>wrote:
> Find the distance between each of the points and the origin(0,0) and sort > the points based on this distance. > Also, divide the points based on which quadrant they belong. If the > difference between their distance(from origin) between 2 points is less and > they belong to the same quadrant, then they are likely to be close. So, > instead of comparing each point with every other point as in the O(N^2) > solution. We can compare a given point only with a subset of points that > appear to be close. > > On Wed, Dec 21, 2011 at 1:00 AM, SAMMM <somnath.nit...@gmail.com> wrote: > >> You are given a list of points in the plane, write a program that >> outputs each point along with the three other points that are closest >> to it. These three points ordered by distance. >> The order is less then O(n^2) . >> >> For example, given a set of points where each line is of the form: ID >> x-coordinate y-coordinate >> >> >> 1 0.0 0.0 >> 2 10.1 -10.1 >> 3 -12.2 12.2 >> 4 38.3 38.3 >> 5 79.99 179.99 >> >> >> >> Your program should output: >> >> >> 1 2,3,4 >> 2 1,3,4 >> 3 1,2,4 >> 4 1,2,3 >> 5 4,3,1 >> >> -- >> You received this message because you are subscribed to the Google Groups >> "Algorithm Geeks" group. >> To post to this group, send email to algogeeks@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. >> >> > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to algogeeks@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. > -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algogeeks@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.