Problem 2: Give the time complexity of the following code and explain the reason: (1) (2) for (i = 1; i < n; i *= 2 ) { } for(j= n; j > 0; j /= 2 ) { for (k = j; res } } } for (i = n; i > 0; i == 1) { for (j } <= n; k += 2 ) { i j + j * k) ; 1; j

Problem 2: Give the time complexity of the following code and explain the reason: (1) (2) for (i = 1; i < n; i = 2 ) { } for(j= n; j > 0; j /= 2 ) { for (k = j; res } } } for (i = n; i > 0; i == 1) { for (j } <= n; k += 2 ) { i j + j k) ; 1; j

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: The following questions are related to regular expression and regular language: (i) Let r,, r2, r be…

A: Answer: Regular Expressions:- Regular Expressions are used to denote regular languages. An…

Q: int find (int *v, int n, int s) { int i, j; for (i-0; i<n-4; i++) { int sum = 0; for (j-0; j<4; j++)…

A: As per the guideline we are allowed to answer the first three subparts of a question only. Please…

Q: 1. Given the following function: int Fn (int N) { } if (N == 0) return 2; else return N + Fn (N/3);…

A: a) The given function is a recursive function. This is because the function calls itself in the…

Q: What type of recursion is used in the following function? int f(int n){ if (n==1) return 1; else…

Q: 2.) Analysis i 1) { j = i; //%% CAUTION: this DOES NOT START AT O while (j<n) { k <-- 0; while (k…

A: O (n log2 n) i values in the outer while loop are n, n/2, n/4, ..., 4, 2, 1 so, number of…

Q: Design a recursive version of dynamic programming algorithm (Top-down) to construct the actual…

A: The objective of the question is to design a top-down dynamic programming algorithm to solve the…

Q: What type of recursion is used in the following function? int f(int n){ if (n==1) return 1; else…

A: Here the recursion is happened at the tail end of the conditional clause.

Q: Given the following code, assuming arr is allocated using malloc() and passed to f1(), 1.Why does…

A: The memory allocation function, or malloc(), allocates a memory space in a dynamic manner. It…

Q: Draw the activation frame diagram for the following recursive function…

A: The objective of the question is to understand the concept of activation frames in the context of…

Q: Problem-10 Moving Zeros to end: Given an array of n integers, move all the zeros of a given array to…

Q: Q} Code the given problem using python programming language Sereja has an array consisting of n…

A: Please find the solution in the below step

Q: Flass Main { public static void main(String[] args) { int[] array = { 1, 2, 3, 4, 5 }; // Complexity…

A: Solution It's crucial to understand that all arithmetic series, such as 1+2+3+...+n, is in O(n2). As…

Q: Trace the following recursive method for the function call “multiplyDigits(58746)” and show the…

A: In step 2, I have provided OUTPUT along with purpose of given program---- In further steps, I…

Q: 12. Consider the recursive function int gcd( int a, int b) int gcd( int a, int b){ if (b > a)…

A: Recursive function: It is a function that calls itself during execution. The number of invocations…

Q: Question: Identify the big-O time complexity of each of the following functions: void f1(int n) { }…

A: In the world of algorithm analysis and computational complexity, understanding the time complexity…

Q: for (int i = 0;i>m2[i][j]; This C++ :code used to Count from 0 to 2 O Print the array m2 O Read the…

A: The given C++ code is for (int i = 0; i<2; i++){ for (int j = 0; j<3; j++) {…

Q: 2 First index means, the index of first occurrence of x in the input array. 3 Do this recursively.…

A: In this code, the Main class handles input and output using Scanner. It reads the size of the array,…

Q: Following C code computes the approximate roots and the absolute approximate error of f(x)=x3…

A: The given C code computes the approximate roots. Blanks in the given code is write as BOLD with…

Q: Question 2 Which of the following is the proper recursive case for the following function int…

A: Note: Valid recursive call must lead to termination condition or base case in the given function :…

Q: (3) There is a function void fnE(int i, int num) that runs in 1000-i steps, regardless of what num…

A: We have to calculate the total time in big-O of function fnA of variable n. To calculate Big O,…

Q: Question 1: Tracing Recursive functions The solution can be handwritten in a paper and attach the…

A: Given To know about the recursive call of function and function is multiplication of digit sapratly

Q: 18. What is the complexity of the following code expressed in O() notation? If more than one answer…

A: The question has been answered in step2

Q: 1. clearly how the function is evaluated and the return of the function for every recursive step as…

Q: Question 1. Consider the following difference equation: With ro := 130, set r:= 0.0001r - 0.0194r+…

A: Note: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other…

Q: Consider the following recursive function: def collatz (n): if n == 1: return 0 if n % 2 == 0:…

A: Recursion is a process of calling the function itself. But, to exit from this we need a base case as…

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: 5. What is the time co е со for(i=0; i<n; i+) k = k+%;

A: INTRODUCTION: Here we need to tell the time complexity of the following code.

Q: 1. Reduce the following function: Z. ((A O B)•(A•C) •( (A•B) +(A Ð B) )

A: We are given an expression and we are going to minimize it. The best method for such problems is…

Q: Identify the big-O time complexity of each of the following functions: void f1(int n) { for(int i=0;…

A: The Big O notation specifies an algorithm's upper bound. It is a common mathematical notation that…

Q: der algorithm elements are

A: Ans- Decrease and conquer we also called it as "Divide and Conquer". It is the algorithm in which…

Q: 6. After execution the following segment of program: int Matrix [3][4]: for (i=0; i<3; i++) for…

A: - We need to validate for the components of matrix will be same as depicted or not. - The code…

Q: a) for (i = 0; i<n; i++) | k = i + 1 b) for (i = 0; i<n; i++) %3D for (j = 0; j<n; j++) k = i + j…

A: INTRODUCTION: Here we need to tell the time complexity of the following code:

Q: What value will be printed by cout « glc(260, 65); ?

A: int glc(260,65) { if(260==0 || 65==0) //This condition is false so it goes to elseif else…

Q: 1. Asymptotics. Given an array A of n integers, you'd like to output a two-dimensional n x n array B…

A: Step 1:a)sol)Let's address the problem step by step:To solve this problem, you can use dynamic…

Q: 4. Consider the function IndexEqual(A,i.j) that returns true if there exists an index x (i sx sj)…

A: Below i have answered:

Q: Write a pseudocode function to describe an algorithm where the stored data can be searched for a…

A: The following algorithm searches the stored data for a value key; if the data is found, its location…

Q: Given the following recursive definition seq(1) = seq(2) = 1 seq(n) = 2 ∗ seq(n − 1) + 3 ∗ seq(n −…

A: Program code: //include the header files#include<iostream>using namespace std;//declare cint c…

Q: * Axiomatic Proof Prove the following program for integer division (x/y): { x>= 0 ^ y>0 } q := 0;…

A: The notation used for the statement 'If P is true immediately before S is executed and the execution…

Q: iven a balanced expression that can contain opening and closing parenthesis, check if it contains…

A: Introduction : Stack is a data structure which follows LIFO (Last In First out) principle. We can…

Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

Problem 2:
Give the time complexity of the following code and explain the reason:
(1)
(2)
for (i = 1; i < n; i *= 2 ) {
}
for (j = n; j> 0; j /= 2 ) {
}
}
for (
for (k = j; k <= n; k += 2 ) {
res += (i* j + j * k );
(i = n; i > 0; i = 1 ) {
for (j
}
}
1; j < n; j *= 2 ) {
for (k = 0; k<j; k += 1 ) {
res += (i* j + j * k ) ;
}
=

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: Introduction:

VIEW

Step 2: Answer and explanation:

VIEW

Solution

VIEW

Step by step

Solved in 3 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

2. The function f is defined for non-negative integers a and b recursively as follows: f (а, b) 3D1 if a = 0 or b = 0 f (a - 1, b f (a f (а, а) 1) + 2a - 1 if a if a > b if a < b b b, b) + f (b, b) + f (b а, а) } Compute f (2, 3) by drawing a recursion tree showing all of the computation required and then use your tree to compute the answer.
7. Convert this iterative function into recursive function. [s] int factorial (int num){ int answer=1; for(int t = 1; t>num; t++) { answer answer * (t); return (answer); }
Suppose the following code: int a, b, c;char array[100];void f(int& val){char* arr = new char[100];for(int i = 0; i < val; ++i){arr[i] = i*i;}}int main(){int myValue = 123;f(myValue);return 0;} Think about which section of process memory each part of this program would occupy during execution. Then, match items on the left with their storage locations on the right.
Subject: Data Strucure and Algorithm in c++Fill the blank fields in the table (p.s. i splited the table into 2 image for better quaility)Trace the flow of the following recursive function, after it is called through the statement: cout << "Output = " << mock(2,5);int mock(int a, int b) { if (b == 0) return 1; if (b % 2 == 0) return mock(2*a, b/2); return mock(2*a, b/2)*a; }
A piece of programm code is given:int A[1200];...int find_in_arr(int * A, int x){ int found = 0;for(i = 0; i<1200; i++) if(A[i] == x) { found++; break } if ( found == 0) return 0;return 1;}- please optimize the code to run faster by using a barrier
Need it asap
Question 6. What is the functionality of the below recursive function? static void fun(int n) { int i = 0; if (n > 1) fun(n - 1); for (i = 0; i< n; i++) System.out.println(" * ");
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. (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++;
For each of the following function, indicate the class (n) the function belongs (use the simplest g (n) possible in your answer. a) (n² + 5)1⁰ c) 5n+3 + 7+1 b) 4nlog2(n+2)² + (n+2)³log2(n/2) d) 2n + 3n+ n²+ 4n
Fun(n) { if (n ≤ 1){return;} else { Statement; Fun (√) return; } Assume "Statement" takes (1) time, Further assume that ŉ = 2m, then the time complexity of Fun() is: