Use asymptotic notations to describe the running times
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Here is my question that my professor gave to me as a homework from my
Use asymptotic notations to describe the running times of the nested loops below. You may assume that n is a power of 2.
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- Here is my question from my algorithm's class. Use asymptotic notations to describe the running times of the nested loops below. You may assume that n is a power of 2.Write computer program to solve a set of equation by using Gauss-Seidel Iteration.Correct answer will be upvoted else Multiple Downvoted. Computer science. Polycarp has a most loved arrangement a[1… n] comprising of n integers. He worked it out on the whiteboard as follows: he composed the number a1 to the left side (toward the start of the whiteboard); he composed the number a2 to the right side (toward the finish of the whiteboard); then, at that point, as far to the left as could really be expected (yet to the right from a1), he composed the number a3; then, at that point, as far to the right as could be expected (however to the left from a2), he composed the number a4; Polycarp kept on going about too, until he worked out the whole succession on the whiteboard. The start of the outcome appears as though this (obviously, if n≥4). For instance, assuming n=7 and a=[3,1,4,1,5,9,2], Polycarp will compose a grouping on the whiteboard [3,4,5,2,9,1,1]. You saw the grouping composed on the whiteboard and presently you need to reestablish…
- Please tell the time complexity of the nested loops below.I want the algorithm for this questionYou are advised to refer to the recommended textbook “Introduction to Algorithms (3rdedition) by Thomas H. Corman, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein”. Have areading through Chapter 04 and answer the following questions as a follow up exercise Compute big-oh of the given T(n) using the Iteration Method:
- Use pseudocode to describe an algorithm that takes as input a list of n distinct integers and finds the location of the smallest odd integer in the list or returns 0 if there are no odd integers in the list. (Note: Use the operation "is odd" in your code, or similar; don't attempt to craft odd-ness checking logic.)Design an algorithm to find the kth number such that the only prime factors are 3, 5, and 7. Note that 3, 5, and 7 do not have to be factors, but it should not have any other prime factors. For example, the first several multiples would be (in order) 1, 3, 5, 7, 9, 15, 21.(a) Consider the following algorithm. Input: Integers n and a such that n >0 and a > 1. (1) If 0 < n < a, stop. Otherwise, go to (2). (2) Replace n by n – a and go back to (1). How many times does this algorithm enter step (2)? Explain your answer. (Hint: the answer depends on both n and a, i.e. you should calculate the number of times that the algorithm enters step (2) as a function of n and a.)
- The values of x and y should be swapped. Does the following algorithm work?Write a recursive function that takes an array and a callback function and returns True if any value of that array returns True from that callback function otherwise returns False.As a callback funtion for this problem, assume that the callback function is used to check if a given input is an even number.- Analyse the running time of the algorithmIn Big-Θ notation, analyze the running time of the following piece of code/pseudo-code. Describe the running time as a function of the input size (here, n). You should always explain your work when solving mathematics problems.