Question 1: Analyze the following codes for Time and space complexity. Determine Big O for the following code fragments in the average case. Assume that all variables are of type int. (g) Assume that array A contains n values, Random takes constant time, and sort takes n log n steps.   for (i=0; i

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
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Question 1: Analyze the following codes for Time and space complexity. Determine Big O for the following code fragments in the average case. Assume that all variables are of type int.

(g) Assume that array A contains n values, Random takes constant time, and sort takes n log n steps.

 

for (i=0; i<n; i++) {

for (j=0; j<n; j++)

A[i] = Random(n);

sort(A, n);

}

 

(h) Assume array A contains a random permutation of the values from 0 to

n - 1.

sum = 0;

for (i=0; i<n; i++)

for (j=0; A[j]!=i; j++)

sum++;

 

(i)     sum = 0;

if (EVEN(n))

for (i=0; i<n; i++)

sum++;

else

sum = sum + n;

sum1 = 0;

 

(j)    for (k=1; k<=n; k*=2) 

for (j=1; j<=n; j++) 

sum1++;

sum2 = 0;

for (k=1; k<=n; k*=2) 

for (j=1; j<=k; j++) 

sum2++;

 

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