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Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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
Transcribed Image Text:What is the asymptotic complexity of the following pseudocodes?
Code 1
i=1
while i <n
j=1
while j <i
j= 2* j
i=i+1
i=1
j=1
while i <n
Code 2
i=i*2
while j <i
j=j+1
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- n-1 Geometric (n) = i=1 i=1 1 1 * n-1 П %3D Harmonic (n) = i=1 n Let's look at examples. If we use n = 4, the geometric progression would be 1 * 2 * 3 * 4 = 24, and the harmonic 1.1.1 1 progression would be 1* -= 0.04166. 2 3 4 24 Task #1 Tracing Recursive Methods 1. Copy the file Recursion.java (see Code Listing 16.1) from the Student Files or as directed by your instructor. 2. Run the program to confirm that the generated answer is correct. Modify the factorial method in the following ways: a. Add these lines above the first if statement: int temp; System.out.println ("Method call -- " + "calculating " "Factorial of: " + n); + Copyright © 2019 Pearson Education, Inc., Hoboken NJ b. Remove this line in the recursive section at the end of the method: return (factorial (n - 1) * n); c. Add these lines in the recursive section: temp = factorial (n - 1); System.out.println ("Factorial of: " (n - 1) + " is " temp); return (temp * n); 3. Rerun the program and note how the recursive calls…arrow_forwardAssume n is the number of inputs and that the log function is base 2. Treat this piece of code as a pseudocode. Give the big-Oh characterization, in terms of n for the following algorithm: for i in range(n*logn): for j in range(i): for k range(1000): print('I did it!')arrow_forwardFind the time complexity of the following code, for (i=1: iarrow_forwardarrow_back_iosarrow_forward_ios
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