Question: Consider the following algorithm: int a = 0 , i = N; while ( i > 0 ) { a + = i; i /

Consider the following algorithm:
int a =0, i = N;
while (i >0){
a += i;
i /=2;
}
What is the time complexity of this algorithm?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

1) Show that 6n 2 + 20n is big-Oh of n 3 , but not big-Omega of n 3 . You can use either the definition of big-Omega (formal) or the limit approach 2) Show that n 3 is big-Omega of n 2 . You can use...

Q:

Given an array of ints data, where n is data. length and is large, and target is an int, consider the following algorithm: int count = 0 ; for ( int i = 0 ; i

Q:

Given an array of ints data, where n is data. length and is large, and target is an int, consider the following algorithm: int count = 0 ; for ( int i = 0 ; i

Q:

Given an array of ints data , where n = data.length, consider the following algorithm: int sum = 0; numAboveAvg = 0; for (i = 0; i

Q:

1 question) Arrange the following in the order of their growth rates, from least to greatest: (5 pts) n 3 n 2 n n lg n n! n lg n 2 n n 2 question)Show that 3n 3 + n 2 is big-Oh of n 3 . You can use...

Q:

1. Consider the following algorithm: int mystery(int A[1..n]): . s = empty stack . for i = 1 to n: { . if s.empty() or s.peek()==A[i]: . s.push(A[i]) . else: . s.pop() . } . return s.pop() // returns...

Q:

Do a worst case analysis of this algorithm, counting additions only (but not loop counter additions) as the basic operation counted, and assuming that n is a power of 2, i.e. that n= 2k for some...

Q:

Find the worst-case runtime f(n) for the following algorithms. Specify the number of operations executed for an input size n, for the worst case run time as a function of n. Surround the...

Q:

Consider the following algorithm: int f ( n ) / * n is a positive integer and n is a power of two * / if ( n = 1 ) return n int x = f ( n / 2 ) for int i = 1 to n / 2 do x = x + ( i * i ) / * loop...

Q:

Find the worst case run time function f(n) of the following algorithm. int sum = 0; for (int i; i

Q:

The probability that a person in the United States has type A+ blood is 31%. Three unrelated people in the United States are selected at random. (a) Find the probability that all three have type A+...

Q:

A firm's cash position would most likely be hurt by Decreasing excess inventory. Establishing stricter (shorter) credit terms. Retiring outstanding debt. Increasing the net profit margin.

Q:

Ivanhoe Company reported the following information for 2 0 2 5 . Ivanhoe Company Income Statement For the Year Ended December 3 1 , 2 0 2 5 Additional information: Operating expenses include...

Q:

On January 1 , 2 0 2 4 , Bricke Incorporated issued stock options for 3 6 0 , 0 0 0 shares to a division manager. The options have an estimated fair value of $ 5 each. To provide additional incentive...

Q:

4. How comfortable are you with introducing yourself to people? What kind of impression do you think you give others? (You may want to check your self-assessment by asking a trusted source what kind...

Q:

3. Have you ever felt good or been flattered by someone seeking to network with you? What did the person do to make you feel good about the interaction?

Q:

5. What can you learn from this person that will help you to gain power and use it constructively for your own benefit and for the organizations benefit? (In some cases, this might involve learning...