Write a recurrence relation describing the WORSTCASE running time of each of the followingalgorithms. Justify your solution with eithersubstitution, a recursion tree, or induction. Simplifyyour answer to O(nk) or O(nk log(n)) wheneverpossible. If the algorithm takes exponential time,then just give exponential lower bounds.(b) 1: function Func(A[],n)2:if n < 10 thenreturn A|1|4:end if5:X =6:for i = 1 to n3/2 do7:x = x + A[[i/n]]8:end for9:x = x + Func(A[],n – 5)10:return x11: end function3:

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Write a recurrence relation describing the WORST CASE running time of each of the following algorithms. Justify your solution with either substitution, a recursion tree, or induction. Simplify your answer to 0(nk) or O(nk log(n)) whenever possible. If the algorithm takes exponential time, then just give exponential lower bounds. (b) 1: function Func(A[],n) 2: if n < 10 then 3: return A[1] 4: end if 5: x = 6: for i = 1 to n3/2 do 7: x = x + A[[i/n]] 8: end for x + Func(A[],n – 5) 9: 10: return x 11: end function

Write a recurrence relation describing the WORST CASE running time of each of the following algorithms. Justify your solution with either substitution, a recursion tree, or induction. Simplify your answer to 0(nk) or O(nk log(n)) whenever possible. If the algorithm takes exponential time, then just give exponential lower bounds. (b) 1: function Func(A[],n) 2: if n < 10 then 3: return A[1] 4: end if 5: x = 6: for i = 1 to n3/2 do 7: x = x + A[[i/n]] 8: end for x + Func(A[],n – 5) 9: 10: return x 11: end function

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Write a recurrence relation describing the WORST
CASE running time of each of the following
algorithms. Justify your solution with either
substitution, a recursion tree, or induction. Simplify
your answer to O(nk) or O(nk log(n)) whenever
possible. If the algorithm takes exponential time,
then just give exponential lower bounds.
(b) 1: function Func(A[],n)
2:
if n < 10 then
return A|1|
4:
end if
5:
X =
6:
for i = 1 to n3/2 do
7:
x = x + A[[i/n]]
8:
end for
9:
x = x + Func(A[],n – 5)
10:
return x
11: end function
3:

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