ALGORITHM BruteForceClosestPair(P)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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ALGORITHM BruteForceClosestPair(P)
/Finds distance between two closest points in the plane by brute force
//Input: A list P of n (n > 2) points p;(x1, y1), . . . , Pn(Xg• Yn)
//Output: The distance between the closest pair of points
for i +1 to n – 1 do
for j i+1 ton do
d< min(d, sqrt((x¡; – x })² + (y¡ – y;)²)) I/sqrt is square root
|
return d
O(n log n)
O (n)
O(n(log n)²)
O(n²)
Transcribed Image Text:ALGORITHM BruteForceClosestPair(P) /Finds distance between two closest points in the plane by brute force //Input: A list P of n (n > 2) points p;(x1, y1), . . . , Pn(Xg• Yn) //Output: The distance between the closest pair of points for i +1 to n – 1 do for j i+1 ton do d< min(d, sqrt((x¡; – x })² + (y¡ – y;)²)) I/sqrt is square root | return d O(n log n) O (n) O(n(log n)²) O(n²)
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