QUESTION 5 A program P takes time proportional to n log n where n is the...
Suppose that an algorithm has run-time proportional to 2n , where n is the input size. The algorithm takes 1 millisecond to process an array of size 10. How many milliseconds would you expect the algorithm take to process an array of size 20 ?
We know that binary search on a sorted array of size n takes O(log n) time. Design a similar divide-and-conquer algorithm for searching in a sorted singly linked list of size n. Describe the steps of your algorithm in plain English. Write a recurrence equation for the runtime complexity. Solve the equation by the master theorem.
A program with a quadratic run time takes t seconds to run, when given an input size n. If the same algorithm is given input of size 2n, then the program will take approximately how many seconds? a. 2t b. t c. 4t d. 6t
Here are some common orders of growth, ranked from no growth to fastest growth: Θ(1) — constant time takes the same amount of time regardless of input size Θ(log n) — logarithmic time Θ(n) — linear time Θ(n log n) — linearithmic time Θ(n2 ) — quadratic time Θ(n3 ), etc. — polynomial time Θ(2n), Θ(3n), etc. — exponential time (considered “intractable”; these are really, really horrible) In addition, some programs will never terminate if they get stuck in an...
9. (5 points) Please describe an algorithm that takes as input a list of n integers and finds the number of negative integers in the list. 10. (5 points) Please devise an algorithm that finds all modes. (Recall that a list of integers is nondecreasing if each term of the list is at least as large as the preceding term.) 11. (5 points) Please find the least integer n such that f() is 0(3") for each of these functions f()...
C++ please read all the question Create 3 large arrays to search, where the size will be variable up until it reaches your machines limit. They should contain the same information since we are going to compare 3 different algorithms.You are going to do operational studies on them to determine their order. O(N), O(log(N)), and O(1)? Search algorithms.Linear, Binary, Hash You should know which algorithms are what order,now you are going to prove it. Fill the 3 arrays with the...
C++ please read all the question Create 3 large arrays to search, where the size will be variable up until it reaches your machines limit. They should contain the same information since we are going to compare 3 different algorithms.You are going to do operational studies on them to determine their order. O(N), O(log(N)), and O(1)? Search algorithms.Linear, Binary, Hash You should know which algorithms are what order,now you are going to prove it. Fill the 3 arrays with the...
Question 8 A = 23n + 36n2 B = 6 + nlog2(n) + n C = log2n + 36n2 Which one of the following is correct? A. TA = O(n2) TB = O(n) TC = O(log2n) B. TA = O(n2) TB = O(nlog2(n)) TC = O(n2) C. TA = O(n2) TB = O(+ nlog2(n)) TC = O(log2n) D. TA = O(n2) TB = O(n) TC = O(n2) 0.5 points Question 9 Three criteria are used to determine whether a data structure is...
c++ please read all question edit the program to test different random sizes of the array and give me the time in a file will be like random size of the array and next to it the time it took for each size Im trying to do time analysis for Quick sort but i keep getting time = 0 also i want edit the program to test different random sizes of the array and give me the time in a...
Assignment 5 will be way different. It will be more like what you will receive in a programming shop. By that I mean that some things are built for you and others you will need to create or finish. P.S. part of your grade will include: Did you add in the required files? Did you rename your project? does your linear searches work? Did you put your code in the correct modules? did you change modules that you weren't supposed...