1. Analyze and write the time complexity of the given program: int j = 2 while (j < n) { int k = j while (k < n) { Sum += a[k]*b[k] k += } j = j*sqrt(5) } 1/3 n* log n 2. Explain your analysis
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![1. Analyze and write the time complexity of the given program:
int j = 2
while (j < n) {
int k = j
while (k < n) {
Sum += a[k]*b[k]
k += n/3
}
j = j*sqrt(5)
}
%3D
log n
2. Explain your analysis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa591d6a1-4074-4c61-86ea-0a0ab4ed388c%2F5c27c4c4-0b81-4d2a-90f0-457085095f73%2Fx4s4fu8_processed.png&w=3840&q=75)
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- How can quality assurance promote the automated production of products utilizing native applications for iOS and Android that have an e-commerce domain?Exercise 3. For each of the following program fragments give a (.) estimation of the running time as a function of n. (a) sum = 0; (b) (c) (d) (e) for (int i = 0; i< n * n; i++) { for(int j = 0; j < n/2; j++) sum++; } sum = 0; for (int i sum++; +; } for (int j } sum = for = } = 0; j < n/2; j++) { sum++; } 0; (int i = 0; i< n * n; i++) { for (int j = 0; j < n * n; j++) sum++ sum = 0; for (int i = 0; iDetermine the time complexity function of the program snippet below, int f1(int n) { if (n <= 1) return n; return 2 * f1(n/2); } int f2(int n) { if (n <= 1) return n; return f2(n/2) + f2(n/2); } please the answer must be in detail step by step until you get the time complexity function.Assume n is the number of inputs and that the log function is base 2. Treat this piece of code as a pseudocode. Give the big-Oh characterization, in terms of n for the following algorithm: for i in range(n*logn): for j in range(i): for k range(1000): print('I did it!')Find the space complexity of the following code fib(int n) { if (n <= 1) return n; return fib(n-1) + fib(n-2); }Please calculate the time complexity of below pseudocode. for (i=1; iWrite a recursive algorithm with the following prototype: int divide (int x, int y); that returns x/y (integer division). You need not test for divide by 0. THE FUNCTION MUST BE RECURSIVE. (hint: base case should be when xSuppose the runtime efficiency of an algorithm is presented by the function f(n) = 10n + 10². Which of the following statements are true? Indicate every statement that is true. A. The algorithm is O(n log n) B. The algorithm is O(n) and O(log n). C. The algorithm is O(log n) and 80(n). D. The algorithm is (n) and (log n). E. All the options above are false.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) }No code - Determine the complexity and the number of times the multiplication process has been done for the following - for (int i = 1; i < n; i = i ++) for( int q = n; q > 1; q = q / 2 ) int d = d * 2;Question Time complexity calculation 1. Suppose there is an ordered list of 128 names. You need to use binary search to find one of them. How many steps does it take to find it? 2. After doubling the length of the above list, how many steps are required at most? 3. Analyze the program and find the time complexity of the algorithm 2) ( 3 ) for(i=1;i<=n;i++) (1) i=l;k=0; while(iRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education