Problem 9: (10%, design of algorithms) Let P = (p1, P2, Pn) be a sequence of n> 3 points. For each i, 3 sisn, let Q,= {pi, P2, pi}. Give an O(n")-time algorithm to compute the convex hull of Q, for every i, where 3 sisn. %3D Pi Hull(Q3) Hull(Qa) Pi Hull(Qs) Pi P3 P3 P3 P2 P2 P2 P2 P4 P4 P4 P4 P5 P5 P5 p5 חוה ה1aת

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Problem 9: (10%, design of algorithms)
Let P (p1, P2,
Pn) be a sequence of n> 3 points. For each i, 3 si sn, let Q,= {p, P2,
pi}. Give an O(n")-time algorithm to compute the convex hull of Q for every i, where 3 sisn.
%3D
%3D
Pi Hull(Q3)
Hull(Q4)
Pi Hull(Qs)
pi
pi
P3
P3
PB
P2
P2
P2
P2
P4
P4
P4
P4
P5
p5
P5
P5
Figure 1. An example of a sequence P of
Transcribed Image Text:Problem 9: (10%, design of algorithms) Let P (p1, P2, Pn) be a sequence of n> 3 points. For each i, 3 si sn, let Q,= {p, P2, pi}. Give an O(n")-time algorithm to compute the convex hull of Q for every i, where 3 sisn. %3D %3D Pi Hull(Q3) Hull(Q4) Pi Hull(Qs) pi pi P3 P3 PB P2 P2 P2 P2 P4 P4 P4 P4 P5 p5 P5 P5 Figure 1. An example of a sequence P of
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