Q2. time complexity of the following algorithm. for n - 1 to n ³-1 do for je it1 to n² do print j for K ² n-3 to h+4 print k do
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- Find the time complexity using big O notation for an algorithm, explain how and why1. Evaluate and calculate the worst-case running time for the following algorithm, show the steps total = 5; for (a = 0; a< n; a++) { for (b= 0; b < n; b++) { for (c=0; c < n; c++) { if (a == b == c) { for (d = 0; d < n*n*n; d++) { total= a + b +c+d;}}}}}Find the running time for each of the following algorithms. Show work by finding a table of values for each while loop, writing the summations, then solving. Be sure to show work on both the upper bound and lower bound, justify the split, and check that the bounds differ by only a constant factor. Use asymptotic notation to write the answer. c) Func4(n) 1 2 3 4 567∞∞ s = 0; for i 1 to 5n do 8 j← 3i; while (j < i³) do s+ s + i - j; j+5 x j; end end 8 return (s);
- On an input of size 100, an algorithm that runs in time lg n requires steps whilst an algorithm that runs in time n! requires roughly 9.3 x 10 to the power.If the efficiency of the algorithm doIt can be expressed as 0(n) = n², analyze and calculate the efficiency of the following program segment: 1=1 loop (in) 4 JHA loop (jAssume 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!')What is the smallest value of n such that an algorithm whose running time is 100n runs faster than an algorithm whose running time is 2"on the same machine?Please calculate the time complexity of below pseudocode. for (i=1; iConsider the following algorithm. Algorithm Loops(n): S =0 for i = 1 to 2.n do for k = 1 to 4.n do S =s +k.k. k return s a. What is its basic operation? b. How many times is the basic operation executed? c. What is the efficiency class of this algorithm?Suppose 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.Question 5 : Consider the following algorithm 1. count := 0 2. for i := 1 to n 3. for j:=i to i+5 4. for k := 1 to i? 5. count := count +1 a) How many times step 5 is executed? (You must show your steps) b) What is the time complexity of the algorithm in O-notation?Give the exact number of multiplications performed in the following segment of an algorithm assuming a1, a2, ..., a, are positive real numbers and n=50. for i = 1 to n for j= i+1 to n tij = ia;SEE MORE QUESTIONSRecommended 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