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- 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. (i) sum = 0; if (EVEN(n)) for (i=0; i<n; i++) sum++; else sum = sum + n; sum1 = 0;Write a classifier algorithm for p(Y |X,α)What is the complexity of the following codes?
- Write a code in C++ that calculates the times for each of the algorithms (functions). The code must execute the result showing the largest size n of each algorithm (function) that can be solved in time tprogram c++ Given the following recursive definition implement the coresponding program: T(0) = 1,T(1) = 2,T(n) = 3∗T(n−1) + 2∗T(n−2)Consider the following recursive function: def rec1(aList,first,last): if first==last: return aList[first] else: return aList[last]*rec1(aList,first,last-1) Show the output of the following call (show your work and all recursive calls): print(rec1([1,2,3,4,5,6,7],3,5))? describe the task of the rec1 function.
- Practice all the problems with and without using pointers. Try to solve using separate function for each activity Reverse of an integer array and character array having strings (2D) Reverse each element in the integer and character array having strings (2D)Question 99 Define set S recursively as follows:Base Case: 8∈SRecursion: if a∈S and b∈S then a∗b∈S Prove using structural induction that any element in S can be written as 8^n for some n≥1. Full explain this question and text typing work only thanksI need help with this question of Data Structures and Algorithmns 1) True or False a) If g1(n) = O(f1(n)) and g2(n) = O(f2(n)), then g1 x g2 = O(f1(n) x f2(n)) (True or False) b) If f(n) = logan and g(n) = logbn , then f(n) = Θ(g(n)) (True or False)
- JAVA Write a function to implement bottom-up minimal exchange algorithm for generating permutation of {1, 2, 3, 4, … , n}. Call your function from within a main program. Submit code and a sample output for the case n = 4. You may also submit a hand calculated version for (n = 4) if you rather not write a program. Please explain step-by-step.Develop the desktop proof of the following recursive exercise with V = [3,5,2,7] and num = 4 (Logically without the use of programs)Write a pseudocode for the following problem statement and clearly mention the time complexity in big O notation. Given an array of N integers, determine whether the sequence is in strictly increasing order (i.e. each number is greaterthan the last). Return True if condition is satisfied, False otherwise.