Determine the closest pair - Programming

Question posted in Computer Software on 05 2010
Rate question difficulty level 2 Votes
Given an array of points, determine the closest pair.
 
 
38 Answers
 
Usually the interviewer is looking for the simple answer to this question, and this would be sufficient:
public static PointPair slowClosestPair(XYPoint[] points) {
public static XYPoint point1;
public static XYPoint point2;
public static double dmin = 999999999;

for (int i=0; i < points.length - 1; i++) {
for (int j = i+1; j < points.length; j++) {
double x1 = points[i].x;
double y1 = points[i].y;
double x2 = points[j].x;
double y2 = points[j].y;
double distance = Math.sqrt((x1-x2)*(x1-x2) + (y1-y2)*(y1-y2));
if (distance < dmin) {
dmin = distance;
point1 = points[i];
point2 = points[j];
}
}
}
PointPair closest = new PointPair(point1, point2, dmin);
return closest;
}

However for large numbers of points, this is inefficient.
The wiki article on this topic is quite sufficient:
http://en.wikipedia.org/wiki/Closest_pair_of_points_problem

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