Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result mathematically. a. while (n> 1) { if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd, // otherwise returns false i = 3 * n + 1; else for (i=1;i

Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result mathematically. a. while (n> 1) { if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd, // otherwise returns false i = 3 * n + 1; else for (i=1;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

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: . Use O notation to give asymptotic running times of the following algorithms in terms of the input…

A: for(int i=1; i<n; i = 2*i) // Outer loop for(int j=0; j<n; j++) // Inner loop std::cout…

Q: ase seu for (i=0; i<n; i=i*2) { for (j=i*2; j<n; j=j+2) { for (k=0; k<j; k++) do something; }

A: Answer : The time complexity of the nested for loop for using three time loop in a code . is O(n^3)…

Q: Consider the following recursive algorithm. Algorithm Mystery A[0..n-1]) //Input: An array A[0..n -…

A: Solution: Given, ALGORITHM Riddle(A[0..n−1])//Input:AnarrayA[0..n −1]of real numbersif n =1…

Q: 3. Write a C++ program that implements the following three algorithms and times for various values…

A: For n = 1000000 Algo A - Aglo B - (n = 10000) otherwise took too long Algo C -

Q: Question 40 Given the ff. code snippet, determine the time complexity: int f3(int n) { int sum = for…

A: Hello student Hope you are learning well.

Q: What is the time complexity of the following snippet? (Complete steps should be shown)

A: We have to find the time complexity of the following snippet. void fun(int n) { int i, j, k,…

Q: Exercise 3: Consider the algorithm below: 1. in; 2. while (iz 1){ 3. x=x+1 4. i=i/2} Trace the…

A: The concept of time complexity in computer science quantifies the duration a code or algorithm…

Q: iii. 111. int sum = 0; for ( int i = 0; i<n; ++i ) { for ( int j= 0; j<n; ++j) { sum += f( j, 10 );…

A: Time complexity of whole code will be given by multiplying complexities of for loops and function…

Q: 18. What is the running time of the following algorithm? Input: The number n is a power of 2. 1: i =…

A: The running time of an algorithm or a data structure method typically grows with the input size,…

Q: Find the complexity of the program.

A: Since there are nested loop we compute the complexity as follows: Starting with the outer loop, it…

Q: I have no problem finding for the recursion version but for iteration I am unable to do so as the…

A: The series that we wish to print is: 0,1,1,1,2,3,4,6,9.. Here we can see a pattern being followed…

Q: Develop the desktop proof of the following recursive exercise with V = [3,5,2,7] and num = 4…

A: The recursive exercise aims to compute the sum of elements in an array using a recursive approach.…

Q: a) AlgorithmX(n) 1. xfl 2. for i 1 to n² 3. x←max(x,i) 4. for j1 to n² 5. x←max(x.j) 6. return x b)…

A: a) Answer: The Big O analysis for the given code snippet is O(n^2), which means that the time…

Q: Consider the following recursive algorithm: Int active(int x) { if (x < 1) return 10; else return…

A: Given: We are given a program in which we recursion is involved. Goal: We have to calculate the…

Q: Iterative or standard waterfall model? What will fix this?

A: The Waterfall Model is a sequential approach to software development that consists of a number of…

Q: Lexical analyzers may be constructed in a number of ways. Explain why you believe this to be the…

A: A lexical analyzer's principal role is to separate tokens from the input programme and validate its…

Q: Analyze the time complexity of the code segment and find their Big-O. void myfunction2(int n) {…

A: Given: Analyze the code segment's temporal complexity and determine their Big-O.

Q: n choose k, C( n, k). That says having n items how many different ways you have to choose k items…

A: We need to provide recursion code in c++ for the calcualting nCk Example C(n,r)=C(15,3)…

Q: What is the time complexity of loop given below: for(int i=0;i<n;i++){ for (int j=0;j<n;j++){…

A: The term time complexity means that for how many times a particular statement got executed. In the…

Q: Consider the following recursive algorithm. Algorithm Mystery A[0..n-1]) //Input: An array A[0..n-1]…

A: Answer: Given Algorithms Mystery (A[0..n-1]) if n=1 return A[0] else temp←Riddle(A[0..n-2])…

Q: Please answer fast Question 1 Answer following questions and write corresponding algorithms.…

A: Algorithm to check if prime or not: prime(n): if (n == 0 || n == 1) return false; for (i = 2; i…

Q: Inspect the following pseudocode. If the function it describes is called with values n1 = 2 and n2…

A: Introduction: Since two questions are asked which are not interlinked only 1st one will be…

Q: Consider the following recursive algorithm. Algorithm Mystery A[0..n-1]) //Input: An array A[0..n-1]…

A: I answerd only a-question and d-question as far my knowledge a) The algorithm computes the value…

Q: Find the complexity of the following blocks of code or algorithm's description. [Note: your answer…

A: Solution: (1) Explanation: =>Outer for loop will run n times from i = 1 to i = n incrementing the…

Q: is confusing to me. def R(n): if n>=5: return 2 return R(n+1) + 2

A: Given : def R(n): if n>=5: return 2 return R(n+1) + 2 print(R(0))

Q: The following Python program solves Sudoku using backtracking. The method that starts the solution…

A: - The question wants to have the first solution of the image data. - The provided code is :: from…

Q: Trace the following code and write the output and mention what the code does int algorithm(int…

A: - The question wants to know trace what the code does and the output of the code.

Q: Determine the function for the number of steps taken by the algorithm. (FOR EACH FUNCTION) Which…

A: INTRODUCTION: The function for the number of steps that are to be taken by the algorithms includes…

Q: from math import sqrt def prime_factorization (n): # verify that the input is an integer > 2 if not…

A: prime_factorization function: - This function first verifies input parameter n. If n is not an…

Q: Select the running time of the following recursive function f(n): int f(int n) { if (n == 0) }…

A: 1) Time complexity is a theoretical measure that characterizes the efficiency of an algorithm in…

Q: Assume that you were given N cents (N is an integer) and you were asked to break up the N cents into…

A: The problem you described is a classic coin change problem in the field of dynamic programming. It…

Q: Question #1: Compute the complexity of the following implementations : a) for (int i = 0; i<n; i++)…

A: As per Bartleby's rules, we can only answer one question at a time. As these are completely separate…

Q: 5. Convert the following recursive functions into iterative functions. def max(k, n): if k == []:…

A: Here we have given 2 functions, max() and sum_odd(). The function max() returns the largest value…

Q: calculate number of operations in this algorithm for(int i = 0; i < n; i++) { for(int j =…

A: Here we have given the total number of operations in the given code.You can find the solution in…

Q: } Among choices below, choose the tightest g(n) that applies. 100 log n

A: Tightest upper bound means worst case scenario ie how much time the program will run in worst case…

Q: Find The Time Complexity and The Space Complexity

A: Time complexity of given program:

Q: Algorithms in pseudo code **MUST** be placed in de blocks/fences, and use `cpp` as the syntax…

Q: write a recursive c program that takes as an input a total of N integers and prints every subtotal…

A: write a recursive c program that takes as an input a total of N integers and prints every subtotal…

Q: //write a recursion function that will find the largest interger in the string. Can you give me…

A: Here this code can be defined in such a way that it is used to find the largest digit in the…

Q: Do not use static variables to implement recursive methods. USING JAVA What is the worst case…

A: JAVA: Java is a popular programming language that was first released by Sun Microsystems in 1995. It…

Q: PYTHON! Can someone explain this recursion problem? In my mind the ouput would be 19 because: 1st…

A: Solution: R(5) = 5 Explanation: def R(n): if n <= 0: return 20 return R(n-1)…

Q: Q5. What is the time complexity of following code? int a = 0; for (i = 0; ii; j--) { a = a + i + j;…

A: The amount of time taken by an algorithm to run as a function of the amount of length of the input…

Question

Q3. Compute the complexity (O-big notation) of the following algorithms and explain the result
mathematically.
a. while (n> 1) {
if (ODD(n)) //function ODD(n) of constant complexity that returns true if n is odd,
// otherwise returns false
i = 3 * n + 1;
else
for (i=1;i<n;i*=2)
func1(i);
n--; }//end while
Complexity
// complexity of func1 is constant
Why?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

Java Question 19:
PYTHON: STACKS
help pleaseee
Please help with this question. Your assistance is greatly appreciated.
Consider the following recursive algorithm. ALGORITHM Riddle(A[0..n–1]) //Input:AnarrayA[0..n –1]of real numbers if n =1 returnA[0] else tempe-Riddle(A[0..n–2]) if temp < A[n-1] return temp else returnA[n-1] a. What does this algorithm compute? b. Set up a recurrence relation for the algorithm's basic operation count and solve it.
Find the Time Complexity and The Space Complexity
Find the space complexity of the following code fib(int n) { if (n <= 1) return n; return fib(n-1) + fib(n-2); }
Use Master Therom to determine the complexity of the following:
calculate number of operations in this algorithm void my_dgemv(int n, double* A, double* x, double* y) { double alpha=1.0, beta=1.0; int lda=n, incx=1, incy=1; cblas_dgemv(CblasRowMajor, CblasNoTrans, n, n, alpha, A, lda, x, incx, beta, y, incy); }
Question 8 Consider the following code where n and m can be any number of more than 20. Select the correct time complexity. int iter_count = 0; for (int i = 0; i < n; i *= 2) { for (int j = 0; j < m; j++){ iter_count += 1; } for (int i = }) 0; i
The time complexity of the following code is O(n^2). In C++, write a code to confirm the time complexity of the following pseudocode: int j = 2 while (j<n) { int k = j while (k<n) { sum += a[k]=b[k] k += n^1/3 log n } j = j*sqrt(5) }
Choose the Big-O for the following statements. { int n=10, count-0, i=0; While (i<=10){ count++; itt; }} O(n) O(1) O(n²) O(log n)