Question # 02:  Let’s assume we want to find the largest number in a non-empty array A. A sample solution can  be following:  def max(A):   answer = A[0]    for j in range(1,len(A)): // in pseudo-code: for i=1,...,len(A)-1   if (A[j]>answer): answer = A[j]    return answer  Perform the code correction check including the loop invariance.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question # 02: 

Let’s assume we want to find the largest number in a non-empty array A. A sample solution can  be following: 

def max(A): 

 answer = A[0]  

 for j in range(1,len(A)): // in pseudo-code: for i=1,...,len(A)-1 

 if (A[j]>answer): answer = A[j]  

 return answer 

Perform the code correction check including the loop invariance. 

Question # 03: 

 illustrate the operation of merge sort on the  array 

A = {3; 41; 52; 26; 38; 57; 9; 49}.

 

Question # 04: Answer the following short questions: 

  1. a) Is 2n+1 = O(2n)?  
  2. b) Is 22n = O(2n)? 
  3. c) f(n)=O(g(n)) implies g(n)=O(f(n)) 
  4. d) f(n) = O((f(n))2) 
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