Answered: input. What is its Big-Oh time…

input. What is its Big-Oh time complexity of the algorithm? Give the time complexity in terms of the closest function. Select one: O a. O(2") Ob. O(n')

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

Problem 1PE

See similar textbooks

Related questions

Q: What does the following algorithm determine? if x < 0 a -1 elseif x 0 a- 2 else a- 3 Whether x is…

A: In this, we have given an algorithm. We have to obtain the result from the algorithm based on the…

Q: Consider the following directions for shampooing hair: • Rinse hair • Put shamp0o on hair • Lather •…

A: It is a good example of Shampoing algorithm. But you can make it better using below algorithm

Q: Question 1: Suppose that for a given algorithm, the runtime function is T(n) : kz are positive…

A: To prove that the given runtime function T(n) belongs to Big-Theta(n^2), as per the definition of…

Q: Consider a function f: N → N that represents the amount of work done by some algorithm as follow:…

A: Introduction: Here we are required to Prove or disprove that f(n) is O(n), where f(n) = {(1 if n is…

Q: What is the first 5 output of the given algorithm if n=10? *

A: Syntax: While (condition) { statement(s); Incrementation; }

Q: Exercise: Find the function s(n) that indicates the number of sums performed by the following…

A: lets analyse given algorithm:for i=2 to n+1 do // runs for i=2 to n+1 //n times :possible i…

Q: 3.1-6 Prove that the running time of an algorithm is O(g(n)) if and only if its worst-case running…

A: O(g(n)) Big oh notation Asymptotic upper bounds are expressed in big oh notation. If f(n)…

Q: What is the time complexity of the following algorithm? Procedure XYZ (a_1, ., a_n: real numbers…

A: The best option to do the comparison of the algorithms would be to express or indicate the running…

Q: Given the following time-complexity functions, fi€ O(n³) f2 € 0( which algorithm is faster for large…

A: Please refer below for your reference: When considering both functions as O(n^3) and O(n^3 /10) when…

Q: Consider the following algorithm: Function1(); For (int i=1; i<n; i++) Function2(); Give…

A: Step 1 In each case, put the complexity of both the functions in the code and then find the time…

Q: Answer True or False whether a function with growth rate is a member of the set of algorithms that…

A: Omega growth rate complexity

Q: Find the correct asymptotic complexity of an algorithm with runtime T(n) where T(x) = O(n) + T(3 * x…

A: Defined the asymptotic complexity of an algorithm with given recurrence functions

Q: Assume that the time to execute an algorithm with input size k is given as follows. Express the time…

A: ANSWER:-

Q: a. Give three different examples of algorithms (with explanation) that run in logarithmic time.

A: (a) Examples of algorithm that run in logarithmic time- 1. Binary Search Algorithm: Time complexity…

Q: (i) The time complexity of an algorithm gives an indication of the amount of time the algorithm will…

A: Time complexity of an algorithm give an indication amount of time the algorithm will run completely.…

Q: Compute time complexity of the given programs. The complexity computation should be for the complete…

A: The following is the solution

Q: Given the ff. code snippet, determine the time complexity: int f3(int n) { int sum = 73; for (int…

A: Time Complexity: Overall effectiveness of the algorithm can be determined by its time complexity.…

Q: • Write an efficient algorithm that presents the algorithm methodology. •Derive time efficiency in…

A: Quick Sort in C programming language /* C implementation QuickSort */ #include<stdio.h>…

Q: (i) The time complexity of an'algorithm gives an indication of the amount of time the algorithm will…

A: The time complexity of an algorithm signifies the total time required by the program to run till its…

Q: Given a real number x and given a sequence of real numbers a0, a1, a2, …, an-1. Give an algorithm…

A: To Do: To write the algorithm.

Q: The time compleixty of an algorithm satisfies: T(n) = 4.T Prove (²) +0(n³) T(n) = O(n³)

A: Given questions are not interlinked. As per our guidelines only one question will be answered. So,…

Q: Describe the equation {P} S {Q} in terms of algorithm correctness given that P and Q arepre and post…

A: Algorithm correctness : The two main state to determine the algorithm correctness The algorithm…

Q: How can we compare the time complexity of two algorithms? Elaborate its techniques along with pros…

A: Given: How can we compare the time complexity of two algorithms? Elaborate its techniques along with…

Q: :The space complexity of the following algorithm is i = 1; sum = 0; while (i <= n) { i = i + 1; sum…

A: Given Data is shown below: The Space Complexity of the following Algorithm:…

Q: Consider F(n), the complexity of the following algorithm given in the code fragmen definitions O, N,…

A: Code given to us is :- for ( i = n-1 ;i>=1 ;i-=2) { if( n % i == 0) return false; }…

Q: I. Compute for the running time for each algorithm/code and give its complexity 1. for i = 1 to n do…

Q: let us use x as an integer, construct an algorithm that determines how many with repetitions the…

A: #include <iostream>using namespace std; int SumRepetitions(int number){ int sum; int…

Q: Big-Omega) If an algorithm with input size n has computational complexity Ω(n)

A: There are three notations for time complexity of algorithm:- Big -Oh Notation (O):- This is used…

Q: (a) Consider the following algorithm. Input: A non-negative integer n. (1) If n % 5 = 0, stop.…

A: As per Bartleby rules, we are answering only one question 2. (a) We are using PYTHON here to…

Q: Given a real number x and given a sequence of real numbers a0, a1, a2, …, an-1. Give an algorithm…

A: To Do: To write the algorithm.

Q: Given an algorithm has quadratic performance and has a runtime of 3 minutes for 1000 inputs, am I…

A: Given: Quadratic performance is O(n^2) runtime of 3 minutes for 1000 inputs N=1000 => time…

Q: Algorithm one has time complexity f, that is O(n°) and algorithm two has time complixity f2 that is…

A: The answer is given below.

Q: 1 = 1; while I <= n do hogin

A: While loop is a conditional loop used in many programming language and will repeat itself until the…

Q: ke for input size 500 (assuming that the lower-order terms are negligible) if the running time of…

A: given - An algorithm takes 0.5ms for input size 100. How long will it take for input size 500…

Q: Example 13:Write an Algorithm to evaluate the following equation: 1 1+2 1+ 2 +3 1+ 2+3+4 Y =-+- A +…

A: The problem is to find an algorithm to solve the given series where the result is to be stored in…

Q: Give a sum for the number of steps taken by the following algorithm. n is the input size. Find the…

A: Answer is given below .

Q: Consider a function f: N → N that represents the amount of work done by some algorithm as follow:…

A: Introduction: we need to prove or disproof that f (n) is O (n). f(n) = {(1 if n is odd,n if n is…

Q: Find the correct asymptotic complexity of an algorithm with runtime T(n) where T(x) = O(n) + T(3 *…

A: According to the information given:- We have to find the correct asymptotic complexity of an…

Q: Consider the following algorithm: for (i = 2; i <= n; i++) { for (j = 0; j <- n) { cout << i < j;…

A: Note: As given n will always divisible by 4 so we need not worry about floor division. it will be…

Q: Analysis of an Algorithm with respective memory space is called O a. Space Complexity O b. Problem…

A: Analysis of the algorithms done based on two types 1)space complexity 2)Time complexity

Q: Find the correct asymptotic complexity of an algorithm with runtime T(n) where T(x) = O(n) +…

A: Asymptotic complexity of the given algorithm T(x) = O(n) + T((2*x)/8) it can be written as T(x) =…

Q: What does the above Algorithm computes? Is it a memorized algorithm? Justify your answer. Execute…

A: The given algorithm is: int bin(int n, int k){int i, j;int B[0..n, 0..k];for i= 0 to n for j =…

Q: How can we compare the time complexity of two algorithms? Elaborate its techniques along with pros…

A: How can we compare the time complexity of two algorithms? Answer :- We compare the time complexity…

Q: Algorithm X has a growth rate that is proportional to n ∗ n ∗ n . What is the function that…

A: The function that represents the growth rate of algorithm X is O(n^2) F(n) = an^2

Q: 5. Practice with RSA algorithm a. Pick two prime numbers p, q, for example, • const int P=23; •…

A: #include<iostream>#include<math.h>using namespace std;int gcd(int a, int b) { int t;…

Q: 43 a 本a 40 9人 92 45 9.

A: Given DFA is

Q: Give a Θ(lg n) algorithm that computes the remainder when xn is divided by p. For simplicity, you…

A: Give a Θ(lg n) algorithm that computes the remainder when xn is divided byp. For simplicity, you may…

Q: Find the union of differences of two sets of numbers (A – B) U (B – A). Your algorithm's time…

A: The answer is

Question

It is found that the number of primitive operations required by an algorithm is log n!, where n is the size of the
input. What is its Big-Oh time complexity of the algorithm? Give the time complexity in terms of the closest
function.
Select one:
O a.
0(2")
Ob.
O(n')
O(log n)
Od.
O(n")
e. None of the above

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

What is the asymptotic analysis of the algorithm for 2.1 f(n) = log x + n² + 14n + 15 is f(n) in O(n²), O(n³), 2(n²), Q(n), O(n² ), O(n), Q(n³), O(n), or ©(n³ ). 2.2 f(n) = 45x³ + 15x2 + 26x + 10 is f(n) in O(n?), O(n³), Q(n²), Q(n), O(n² ), 0(n), Q(n³), O(n), or 0(n³ )
Give an O(n^2)-time algorithm to nd the longest monotonically increasing subsequence of a sequence of n numbers.Illustrate your algorithm on the sequence:8, 3, 7, 5, 9, 3, 4, 1, 9, 2, 6.
I'm trying to understand how both of these algorithms, separated by a) and b), have a time complexity of O(n), could you explain how this is? a)int i = 0;while (i < n) { ... i++;}for(int j = 3; j < n * n; j += n) { ...}int k = 1;while (k < n) { ... k *= 2;} b)for(int i = 1; i < n; i += 3) { for(int j = 3; j < 10; j++) { for(int k = 5; k < n; k += n) { ... } }}
Give a Θ(lg n) algorithm that computes the remainder when xn is divided byp. For simplicity, you may assume that n is a power of 2. That is, n = 2k forsome positive integer k.
Please explain What is the big-O complexity of the following algorithm? void mystery(int* a, int n){ for (int i = 0; i < n; i++) { for (int j = 0; j < n - 1; j++) { if (a[j] > a[j + 1]) { swap(&a[j], &a[j + 1]); } } }} Group of answer choices a. O(n*n) b. (O(n*log(n)) c. O(n) d. O(n!)
What is the time complexity of the following algorithm? Select one: a. O(n2 log n) b. O(n log log n) c. O(n log n log n) d. O(n log2n )
Question 6 sm.Is 2^(n+1) = O(2^n )? Is 2^(2n) = O(2^n ) ? Suppose that on a particular computer, an Algorithm A, with inputs of size n, runs in 10n^2 steps, and another Algorithm B runs in 60n lg n steps [Note: lg x = log2(x)]. For what values of positive integers n is Algorithm A better than Algorithm B? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
What is the time complexity of the following algorithm? Select one: a. O(log n log n2) b. O(log n2 log n) c. O(log log n) d. O(log n log n)
Assume that each of the expressions below gives the processing time T(n) spent by an algorithm for solving a problem of size n. Select the dominant term(s) having the steepest increase in n and specify the lowest Big-Oh complexity of each algorithm. For example, the dominant term in 0.1n + 10n4 is 10n4 and it is O(n4). Expression Dominant term(s) O(. . .) 5 + 0.001n3 + 0.025n 500n + 100n1.5 + 50n log10 n 0.3n + 5n1.5 + 2.5 · n1.75 n2 log2 n + n(log2 n)2 n log3 n + n log2 n 100n + 0.01n2 0.01n + 100n2 2n + n0.5 + 0.5n1.25 0.01n log2 n + n(log2 n)2 100n log3 n + n3 + 100n
Calculate the running time of the algorithms using big-O notation: a) for (i = 1; i*i*i<n; i++) printf(“%d\n”, i) b) for (i = n; i > 1; i = ceil(i/10)) printf(“%f\n”, i);
I have the following algorithm void p2(int n) s = 0 i = 1 j = 1 while ((i <= n) and (j <= n)) do s = s + 1 i = i + 1 if i > n and j < n then i = 1 j = j + 1 end(if) end(while)write(s)fin(p2) What is the frequency counter? How many times is each line executed? Please explain clearly, thank you
What is the time complexity of the following algorithm? Select one: a. O(n0.5) b. O(n) c. O(n0.8) d. O(log n)