Take into account the MAXMIN methodology below. It uses how many comparisons? Is it more likely to operate quicker or slower in practise than the divide-and-conquer algorithm? procedure The remark maxmin2(S) calculates the maximum and minimum of S[1..n] in max and min, respectively. 1. if n is odd then max:=S[n]; min:=S[n]  2. else max:=−∞; min:=∞  3. for i := 1 to n/2 do  4. if S[2i − 1] ≤ S[2i]  5. then small:=S[2i − 1]; large:=S[2i]  6. else small:=S[2i]; large:=S[2i − 1]  7. if small < min then min:=small  8. if large > max then min:=small

Q: Given that EuV k=1 to n k = n(n+1)/2, evaluate Euu k=1 to n (k+1)

A:

Q: Let f(n)= 32n*+ 12 n² log n. Then f(n)= O(?), f(n)= Q(?), f(n)=0 (?) Replace question marks with the…

A: ANS: option (b) is correct. NOTE: I am unable to type 'omega' symbol and 'theta' symbol from…

Q: The following algorithm is given: int FooBar(c; n): int p = 2 ? ? n result = 1 while (p > 0): result…

A: In this analysis, examined the given function FooBar(c, n) and its time complexity in terms of n.…

Q: Create a random number generation algorithm using a distribution represented by a finite series of…

A: A random number generation algorithm using a distribution represented by a finite series of weights.

Q: When the order of increase of an algorithm's running time is N log N, the doubling test leads to the…

A: When the order of increase of an algorithm's running time is N log N, the doubling test leads to the…

Q: What is being done in following algorithm can we perform better if yes then how if no then why?

A: To perform Algorithm Analysis. Analysis of Algorithm is the most important part of computational…

Q: Since, recurrence for an algorithm made by the divide-and-conquer approach is T(n) = 3T(n/3) + vn,…

A: Divide and Conquer divide the problem into sub-problems and then perform some additional work to…

Q: , solve the sequence y[n] in Matlab,

A: Given :- In the above question, a difference equation is mention in the above given question    Need…

Q: You have three algorithms to a problem and you do not know their efficiency, but fortunately, you…

A: BELOW ? STEP BY STEP COMPLETE SOLUTION REGARDING YOUR PROBLEM

Q: Find y[n]=x[n]*h[n] x[0] = 2, x[1] = 3, x[2] = 5, x[n] = 0 for all other integers (n). h[0] = 2 ,…

A: Introduction Given x is an array of values and x[0]=2, x[1]=3, x[2]=5, x[n]=0 , for all other…

Q: A computer science student designed two candidate algorithn on his part-time job The time complexity…

A: a) Time complexity of n log n &lt; Time complexity of n^k. In this case T1(n)=3 n…

Q: Justify each answer. Write pseudocode for an algorithm that interchanges the values of the…

A: THIS IS A MULTIPLE QUESTION BASED PROBLEM. ONLY FIRST QUESTION IS SOLVED. KINDLY SEND THE REMAINING…

Q: //Input: n,x and y are positive integers 1/Output: You need to trace the algorithm. S+0 for i 0…

A: Worst case is achieved when the condition that has most number of operations is executed again and…

Q: Design a transform-and-conquer algorithm for finding the minimum and the maximum element of n…

A: The transform-and-conquer algorithm for finding the minimum and the maximum element of n numbers is…

Q: The following method of computing a is due to Archimedes: 1. Let A = 1 and N =6 2. Repeat 10 times,…

A: code :    % Draw the unit circle clf; t=linespace90,2*pi,200); plot(cos(t),sin(t),'b--); axis equal…

Q: T(n) = 12 + T(n/2) + c, for n> 1 T(1) = a O (n²) o (ni ) O(n log n) O (2")

A: In forwarding substitution, we start with the base case i.e. n =1 and try to work our way up till n…

Q: 3. Give an analysis of the running time (Big-Oh will do).   sum = 0;   for( i = 0; i < n; ++i )…

A: sum = 0;   for( i = 0; i &lt; n; ++i )   for( j = 0; j &lt; n; ++j )   ++sum;

Q: Use the Booth Algorithm (as covered in class) to compute 15 x (-5) (M = 15; Q = -5; do not change…

A:

Q: 4. P(n, n) = P(n, n −– 1), n ≥ 2. True False

A: Answer : True is the correct answer  I attached an image please have a look once.

Q: 6- Compute the convolution x[n]*h[n] for all n 2 0, MATLAB x[0] = 4, x[1] = 1, x[2] = -1, x[n] = 0…

A:

Q: Given a normal random variable X with mean 15 and variance 16, suppose you take a random sample of…

A: The normal random variable is defined as the random variable X in the normal equation is called the…

Q: Consider the following MAXMIN algorithm. How many comparisons does it use? Is it likely to be faster…

A: The MAXMIN2 method compares the smaller element with the current minimum and the bigger element with…

Q: I need the analysis of time from the following algorithm. The best and worst time table.   a = 3;…

A: The term "time complexity" represents the computational complexity that relates to how long an…

Q: Suppose that an algorithm has runtime 20 n3 for n 100, the slowest cases for each n take time 2 n2…

A: The question is on: finding worst-case runtime and average case runtime of the given algorithm.

Q: 2. Algorithm A has a running time described by the recurrence T(n) = 7T(n/2) + n². A competing…

A:

Q: f(n) = n/ log n and g(n) = n(log n)? Select one: O a. f=Ø(g) O b. f=N(g) O .f=O(g) O d. None of…

A: Actually, algorithm is an step by step process.

Q: Create a random number generation algorithm using a distribution represented by a finite series of…

A: in: sequence of n weights W describing the distribution (Wi ∈ N for i = 0, . . . , (n − 1) ∧ 1 ≤ n−1…

Q: Given an n-element sequence of integers, an algorithm executes an O(n)-time computation for…

A: In the worst case, the input sequence consists of n even numbers. For each even number, the…

Q: The average time complexity for an algorithm can be found by adding the best time and worst time and…

A: Given: To choose the correct option.

Q: Given two sorted arrays, each of length n, we can merge them into a sorted array in O(n) time. True…

A: First Question: Given two sorted arrays, each of length n, we can merge them into a sorted array in…

Q: 10. Which of the following is the recurrence equation for the worst case time complexity of the…

A: According to the asked question, the solution is given below with a proper explanation.

Q: Tom and Jerry being bored in this pandemic, decides to play a game. Given an integer N. On each…

A: Write an algorithm for the given problem, algorithm should be of constant space and time complexity.…

Q: if n = 0, 1, 2 or 3 otherwise t(n) = n t(n-1) + t(n-3) + t(n-4) Express your answer as simple as…

A: Given recurrence relation is, t(n)=t(n-1)+t(n-3)+t(n-4) t(0)=0, t(1)=1, t(2)=2 and t(3)=3

Q: Let f (n) = 100n log3 n + n³ + 100n be the processing time spent by an algorithm for solving a…

A: The time complexity using little omega  method

Q: When a and b are natural numbers we usually say that "b fits q times in a and subtract r". This…

A: 1)Read a,b numbers   2)Assign r=a , q=0 3)use while loop until r&gt;=b and increase count q to count…

Q: Given that Eup k=1 to n k³ = n²(n+1)²/4, evaluate Zuu j=2 to n (j-1)3 by the change of summation…

A:

Q: Consider a sequence of integers defined by the following recurrence: f(0) = 0, f(1) = 1, and f(i) =…

A: Given the sequence of integers defined the following recurrence.

Q: 3. 4. s := 0; i := n; while i ≥ 1 do i := i div 2; for j = 1 to i do | s:=s+1 end end for i:=1 to n…

A: 3. Pseudo-Code : Explanation : Outer Loop : i starts with value n and each time i is divided by 2 ,…

Q: You are given N cents (integer N) Break up N cents into coins of 1 cent, 2 cent, 5 cents. Using a…

A: When given an amount of money represented in cents, the task is to break it down into the fewest…

Q: Use MATLAB to solve the following: Compute and draw v[n]*x[n] 1- (a) v[n] = 2"u[n] and x[n] = u[n]

A: It is defined as a script, which contains a set of commands exactly as you would type them at the…

Q: Give an analysis of the running time (Big-Oh will do).   sum = 0;   for( i = 0; i < n; ++i )…

A: The solution is given below with explanation

Q: for python The SELECT algorithm uses median of sub-medians as the pivot (let us call it s). Show…

A: def partition(arr, low, high):   i = (low-1) # index of smaller element   pivot = arr[high] # pivot…

Q: 1. Determine the running time of the following algorithm. Write summations to represent loops and…

A: The objective of the question is to determine the running time of the given algorithm. This involves…

Problems on numbers

Number theory is one of the most appealing topics in mathematics. Given one or more numeric values, a numeric algorithm performs some computation. The use of number theory in computing is important for applications like in the case of cryptographic algorithms. Number theory is also used in various applications such as calculating hash functions or in information security. Euclid’s algorithm is one of the oldest number-theoretic algorithms which is used to calculate the greatest common divisor of two numbers.