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6. Which of the following statements are true and which are false ? Justify your answer with a short proof or a counter example : (i) 2" =O ((2.5)"). (ii) Quick sort is always faster than counting sort when applied on an array of numbers. (iii) The following is an example of max-heap : 20 15 17 10 11 13 (iv) In any binary search tree with n-nodes searching for a key cán be done in O (log n) time. (v) The value of the Euler phi-function (n) is

6. Which of the following statements are true and which are false ? Justify your answer with a short proof or a counter example : (i) 2" =O ((2.5)"). (ii) Quick sort is always faster than counting sort when applied on an array of numbers. (iii) The following is an example of max-heap : 20 15 17 10 11 13 (iv) In any binary search tree with n-nodes searching for a key cán be done in O (log n) time. (v) The value of the Euler phi-function (n) is

Computer Networking: A Top-Down Approach (7th Edition)
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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6. Which of the following statements are true and which are false ? Justify your answer with a short proof or a counter example : (i) 2" =0 ((2.5)"). (ii) Quick sort is always faster than counting sort when applied on an array of numbers. (iii) The following is an example of max-heap : 20 15 17 10 11 13 (iv) In any binary search tree with n-nodes searching for a key cán be done in O (log n) time. (v) The value of the Euler phi-function o (n) is always even for n > 2.
Transcribed Image Text:6. Which of the following statements are true and which are false ? Justify your answer with a short proof or a counter example : (i) 2" =0 ((2.5)"). (ii) Quick sort is always faster than counting sort when applied on an array of numbers. (iii) The following is an example of max-heap : 20 15 17 10 11 13 (iv) In any binary search tree with n-nodes searching for a key cán be done in O (log n) time. (v) The value of the Euler phi-function o (n) is always even for n > 2.
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