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Consider the following piece of code: sum = 0; for (i=1; i

Consider the following piece of code:

sum = 0;

for (i=1; i<=n; i*=2) {

for (j=1; j<=i; j++)

sum++; // MyStatement1

for (k=1; k<=n; k++)

sum++; // MyStatement2

}

(a)

Count the number of times MyStatement1 gets

executed in terms of n.

(b)

Count the number of times MyStatement2 gets executed in

terms of n.

(c)

What is the time complexity of the above algorithm in terms of Big O

notation in the

worst case? Is it different from

the best case? Justify your answer

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