T(n) = 2T(,) + n* + n + 1 After k steps we get: T(n) = 2*T( ) + n*(1 + ++ ++... +) + kn + (2º + 2' + 2° +... +2*-1) gk-1 Which of the following functions defines better the amount of work done by the above recurrence? Select one: O a.n + (1 – ) + n) - O b. O(n³)

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Given the following recurrence:
Assume for this problem T(1) = 1
T(n) = 2T(;) + n* + n + 1
After k steps we get:
T(n) = 2*T() + n*(1 + + +
+
81
82
+) + kn + (2º + 2' + 2²+.+2k-1)
80
gk-1
Which of the following functions defines better the amount of work done by the above
recurrence?
Select one:
O a. n + (1 – ) + n)
O b. O(n³)
8(n* –n)
+ n log, n + 2n – 1
8n
O d.n+ 삑(1 -) + nlog2 n + (n - 1)
Next na
Transcribed Image Text:Given the following recurrence: Assume for this problem T(1) = 1 T(n) = 2T(;) + n* + n + 1 After k steps we get: T(n) = 2*T() + n*(1 + + + + 81 82 +) + kn + (2º + 2' + 2²+.+2k-1) 80 gk-1 Which of the following functions defines better the amount of work done by the above recurrence? Select one: O a. n + (1 – ) + n) O b. O(n³) 8(n* –n) + n log, n + 2n – 1 8n O d.n+ 삑(1 -) + nlog2 n + (n - 1) Next na
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