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(a) Consider the following algorithm segment: for i :=1 to n for j := 1 to i a:= 5-i+8-j next j пеxt i How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (b) Find an order for this algorithm segment from among the following: log2 n, n, n - log2 n, n², n², and nª. Give a reason for your answer.

(a) Consider the following algorithm segment: for i :=1 to n for j := 1 to i a:= 5-i+8-j next j пеxt i How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (b) Find an order for this algorithm segment from among the following: log2 n, n, n - log2 n, n², n², and nª. Give a reason for your answer.

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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Express the following statement using N-notation.: | 12(3r + 4 for all real numbers r > 2. z+2 5. Express the following statement using 0-notation: | 12x*(3r | 1)| < 36 || for all real numbers r> 2. z+2 6. Express the following statement using O-notation: | 12*(3r + 4)| s 36|| for all real numbers r> 2. r+2
Transcribed Image Text:Express the following statement using N-notation.: | 12(3r + 4 for all real numbers r > 2. z+2 5. Express the following statement using 0-notation: | 12x*(3r | 1)| < 36 || for all real numbers r> 2. z+2 6. Express the following statement using O-notation: | 12*(3r + 4)| s 36|| for all real numbers r> 2. r+2
(a) Find the total number of additions and multiplications that must be performed when the following algorithm is executed. Show your work carefully. for i := 1 to n for j = i to n a := 2 · (5 - i+j+ 1) next j next i (b) Find an order for the algorithm segment of part (a) from among the following: log, n, n, n- log, n, n², nº, and nº. Give a reason for your answer. 2. (a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i ar:= 5.i+8.j next j next i How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (b) Find an order for this algorithm segment from among the following: log, n, n, n - log, n, n2, nº, and n, Give a reason for your answer.
Transcribed Image Text:(a) Find the total number of additions and multiplications that must be performed when the following algorithm is executed. Show your work carefully. for i := 1 to n for j = i to n a := 2 · (5 - i+j+ 1) next j next i (b) Find an order for the algorithm segment of part (a) from among the following: log, n, n, n- log, n, n², nº, and nº. Give a reason for your answer. 2. (a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i ar:= 5.i+8.j next j next i How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (b) Find an order for this algorithm segment from among the following: log, n, n, n - log, n, n2, nº, and n, Give a reason for your answer.
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