5) Consider the following algorithm. ALGORITHM MysteryLaw( C, q[1...n] ) //Input: //Output: 1 for i+1 to n do F[i] – 0 for j+1 to n do if ji then C qli] qli] (i – j)? F[i] + F[i] + 6 F[i] + F[i] – 7 8 print F[i] a) What does this algorithm compute? b) What is its basic operation? c) How many times is the basic operation executed? d) What is the efficiency class of this algorithm? e) Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done. 5.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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5) Consider the following algorithm.
ALGORITHM MysteryLaw( C, q[1.n] )
//Input:
//Output:
1 for i+1 to n do
F[i] + 0
for j+1 to n do
if j<i then
2
3
4
C q[i] q[j]
(i – j)?
else if j>i then
C qli] qU]
(i - j)?
F[i] + F[i] +
5
F[i] + F[i] –
7
8
print F[i]
a) What does this algorithm compute?
b) What is its basic operation?
c) How many times is the basic operation executed?
d) What is the efficiency class of this algorithm?
e) Suggest an improvement, or a better algorithm altogether, and indicate its
efficiency class. If you cannot do it, try to prove that, in fact, it cannot be
done.
Transcribed Image Text:5) Consider the following algorithm. ALGORITHM MysteryLaw( C, q[1.n] ) //Input: //Output: 1 for i+1 to n do F[i] + 0 for j+1 to n do if j<i then 2 3 4 C q[i] q[j] (i – j)? else if j>i then C qli] qU] (i - j)? F[i] + F[i] + 5 F[i] + F[i] – 7 8 print F[i] a) What does this algorithm compute? b) What is its basic operation? c) How many times is the basic operation executed? d) What is the efficiency class of this algorithm? e) Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done.
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