Give an example of an algorithm that is O(1), an algorithm that is O(n) and an algorithm that is O(n2). Discuss the difference between them
Q: 4. n° = O(n³); n=20 5. (5n-4) (2n+6) = 0(nlogn), n=50 6. 3n (n2+n-2) 7. n9/3 = O(n*), n = 10 = 2(n°)…
A: Defined the functions true or false
Q: Consider the following directions for shampooing hair: • Rinse hair • Put shamp0o on hair • Lather •…
A: It is a good example of Shampoing algorithm. But you can make it better using below algorithm
Q: Suppose three algorithms A, B, and C, can be implemented to perform a task. The algorithms have the…
A: Time Complexity :- Time complexity is the length of time an algorithm takes to run as a function of…
Q: 3.1-6 Prove that the running time of an algorithm is O(g(n)) if and only if its worst-case running…
A: O(g(n)) Big oh notation Asymptotic upper bounds are expressed in big oh notation. If f(n)…
Q: int foo1(int n) { int i, sum = 0; if (n==1) { return 1; } for(i=1; i<=n; i*=3) { sum += i; %3D }
A: Big Oh notations explains the worst-case running time of an algorithm,in simple words. It is the…
Q: A certain computer algorithm executes twice as many operations when it is run with an input of size…
A: Answer
Q: Let A be an algorithm which has an execution time O (N5), where N is the size of the entry. Which…
A: This question comes from Data Structure which is a paper of computer science. Let's discuss it in…
Q: b) Find an order for this algorithm segment from among the following: log, n, n, n - log2 n, n2, n,…
A: Given Algorithm for i := 1 to n for j := 1 to i x := 5 . i + 8 . j next j next i When i is 1 the…
Q: A certain computer algorithm executes twice as many operations when it is run with an input of size…
A: In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of…
Q: Write an algorithm that inputs an even positive number N and outputs the 10 even numbers following…
A: Writing in C++
Q: 3. Draw the Flow Graph and then determine the Cyclomatic complexity of the following program. int…
A: Here we draw the flow graph: ==========================================================
Q: What is the time complexity of the algorithm below? void algorithm ( int n ) { int i, j, k; int m =…
A: The answer is...
Q: (a) Consider the following algorithm. Input: Integers n and a such that n 2 0 and a > 1. (1) If 0 <…
A: In this question, we have the algorithm given in this, we have to examine that how many time does…
Q: For any program P that takes as input a string, can P ever solve a language other than Y(P)? If your…
A:
Q: John came up with an algorithm for some problem that runs in time O(nʻlog (n)), and Bill came up…
A: Given, in the algorithm, John came with big-omega notation and Bill came up with big-O notation.…
Q: a. Give three different examples of algorithms (with explanation) that run in logarithmic time.
A: (a) Examples of algorithm that run in logarithmic time- 1. Binary Search Algorithm: Time complexity…
Q: Design an algorithm for testing if a given number belongs to the following sequence or not, compute…
A: Here we can acquire this task by recursion. Recursion is a function that calls itself. We can…
Q: Given n> 3 points P1 = (x1, y1), ..., Pn = (Xn, Yn) in the coordinate plane, design an algorithm to…
A: I give the algorithm, code, output screenshot as well as code screenshot in python.
Q: Clearly describe an algorithm, strictly better than O(n 2 ), in C programming languagethat takes a…
A: Time complexity: important factor to analyze the efficiency of a program constant time algorithms…
Q: Find the correct asymptotic complexity of an algorithm with runtime T(n) where T(x) = O(n) + T(3 * x…
A: As you recuriment photo type computer language
Q: Suppose three algorithms A, B, and C, can be implemented to perform a task. The algorithms have the…
A: This is a time complexity problem question. Big-Oh (O) complexity represents the worst-case time…
Q: Suppose that the following amounts represen the complexity of four different codes, then what is the…
A: Answer : n^3 is the highest complexity of the algorithm .
Q: Using unary representations of numbers so that the only symbols are B and 1, write down 5-tuples for…
A: Given that, Using unary representations of numbers so that the only symbols are B and 1, write down…
Q: 2. Algorithm A has a running time described by the recurrence T(n) = 7T(n/2) + n². A competing…
A:
Q: 4. T(n) = 15n² – 9 log n is O(n²) %3D 5. T(n) = 4n log n – 17 is O(n log n)
A: Given expressions: T(n)=15n2-9log n T(n)=4nlog n -17 To prove: T(n)=15n2-9log n is θ(n2)…
Q: 1) John came up with an algorithm for some problem that runs in time 0(n² log(n)), and Bill came up…
A:
Q: Suppose three algorithms A, B, and C, can be implemented to perform a task. The algorithms have the…
A: Given that, there are three algorithms A, B and C which perform same task. The time complexities of…
Q: 1. Algorithms A and B have the following time complexities: Case1: A: T(n) = n+ 7 log,n , B: T(n) =…
A: Task :- Decide for each option if both the algorithms have same time complexities.
Q: ist Of Integer: X(Integer: number) List Of Integer: Y Integer: i = 2 While (i 1)…
A: Z algorithm : Z algorithm finds all occurrences of a pattern in a text in linear time . Let length…
Q: Consider a 2-tape Turing Machine with 1^n on Tape 1. Give the table for the Turing Machine that…
A: The table for the given turing machine
Q: algorithms
A: According to the question, we have to find the values of n for which n < 50*log2n So, we have to…
Q: John came up with an algorithm for some problem that runs in time O(n²log (n)), and Bill came up…
A: - The question states that john has an algorithm with run time Θ(n2log(n)) and Bill has a run time…
Q: (a) Devise a recursive algorithm using design by induction for computing n2 where the input to the…
A: A recursive algorithm for computingwhere n is a non-negative integer is as follow: procedure square…
Q: You are given nn points in the plane: (x1,y1),(x2,y2),...,(xn,yn). On the page , in English, give…
A: Answer : Algorithm: If there are only 1 or 2 points. Then the answer is trivially true. If there are…
Q: For the primes p = 2, q = 3 and r = 7 and for n = 3, %3D provide a simulation of the algorithm to…
A: import java.lang.Math; class IntegerSimulation { // print ordered list static void…
Q: stage is a succession of n integers from 1 to n, in which every one of the numbers happen precisely…
A: Here have to determine about the succession of n integers programming problem statement.
Q: Write an algorithm (pseudocode, or java, or python) which takes as input the adjacency matrix of an…
A: code: def fun(adj): no_edges = [] for i in range(len(adj)): if sum(adj[i])==0:…
Q: Clearly describe an algorithm, strictly better than O(n 2 ), that takes a positive integer s and a…
A: #NOTE NO PROGRAMMING LANGUAGE IN MENTIONED SO I WAS WRITTEN IN C++ THE BELOW PROGRAM TIME COMPLXITY…
Q: Input: An odd integer B, and a set A= {a_1, .. a_2n} of 2n distinct positive integers. Question:…
A: A Simple Solution is to iterate through every element arr[i]. Find if there is another not yet…
Q: What does the above Algorithm computes? Is it a memorized algorithm? Justify your answer. Execute…
A: The given algorithm is: int bin(int n, int k){int i, j;int B[0..n, 0..k];for i= 0 to n for j =…
Q: Draw the Flow Graph and then determine the Cyclomatic complexity of the following program. int i, j;…
A: The question is finding Cyclomatic complexity of the given code.
Q: Write An Algorithm that computes the mode of a list of numbers with complexity less than n log n, in…
A: In QuickSort, the sorting steps will take O(nLogN) time to complete. The subsequent counting step…
Q: T(n) = 2T(n/4) +1 %3D
A: Answer: T(n) = Θ(n)
Q: Prove that the running time of an algorithm is ‚theta(g(n)) if and only if its worst-case running…
A: Lets see the solution.
Q: Analyze another algorithm under Divide and Conquer. In your discussion, include the following: 1.…
A: The program is written in Java. Check the program screenshot for the correct indentation. Please…
Q: . Given n > 3 points P₁ = (x₁, y₁), ..., Pn = (Xn, Yn) in the coordinate plane, design an algorithm…
A: Find the convex hull for the given set of points. If the convex hull for the given set of points has…
Q: Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and…
A: Actually, algorithm is a an step by step process.
Give an example of an
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Let A be an algorithm which has an execution time O (N5), where N is the size of the entry. Which of the following statements is NOT true about Algorithm A? Question 3 options: For any N, there may be entries for which the execution time is greater than N4 seconds. For any N, there may be entries for which the execution time is greater than N6 seconds. For any N, there may be entries for which the execution time is less than N4 seconds. For any N, there may be entries for which the execution time is less than N6 seconds. There are constants A and B such that for all N the execution time is less than A × N5 + B seconds.suppose that n is not 2i for any integer i. How would we change the algorithm so that it handles the case when n is odd? I have two solutions: one that modifies the recursive algorithm directly, and one that combines the iterative algorithm and the recursive algorithm. You only need to do one of the two (as long as it works and does not increase the BigOh of the running time.)Algorithm A solves an instance of size n by recursively solving eight instances of size n/2, and then combining their solutions in time O(n3). Algorithm B solves an instance of size n by recursively solving twenty instances of size n/3, and then combining their solutions in time O(n2). Algorithm C solves an instance of size n by recursively solving two in- stances of size 2n, and then combining their solutions in time O(n). Which algorithm is preferable, and why?
- 2. For a problem we have come up with three algorithms: A, B, and C. Running time of Algorithm A is O(n¹000), Algorithm B runs in 0(2¹) and Algorithm C runs in O(n!). How do these algorithms compare in terms of speed, for large input? Explain why.Consider the definition h(0) = 1 h(n) h(n-1)+h(floor(n/2)) + 1 For example, h(2) = h(1) + h(1) + 1 = 3, h(3) = h(2) + h(1) + 1 = 5, etc. An obvious algorithm to compute h is a recursive one, based directly on the defining equations. Is that algorithm efficient? Why or why not? If not, how can the algorithm be improved? Justify your answer.Find f (2), f(3), f (4), and ƒ (5) if f is defined recursively by ƒ (0) = f(1) = 1 and for n = 1, 2, 3.... a) f(n+1) = f(n)-f(n-1). b) f(n + 1) = f(n) f(n-1) c) ƒ (n + 1) = f(n)² + f (n − 1)³ d) f(n + 1) = f(n)/ f(n-1)
- Assume that each of the expressions below gives the processing time T(n) spent by an algorithm for solving a problem of size n. Select the dominant term(s) having the steepest increase in n and specify the lowest Big-Oh complexity of each algorithm. For example, the dominant term in 0.1n + 10n4 is 10n4 and it is O(n4). Expression Dominant term(s) O(. . .) 5 + 0.001n3 + 0.025n 500n + 100n1.5 + 50n log10 n 0.3n + 5n1.5 + 2.5 · n1.75 n2 log2 n + n(log2 n)2 n log3 n + n log2 n 100n + 0.01n2 0.01n + 100n2 2n + n0.5 + 0.5n1.25 0.01n log2 n + n(log2 n)2 100n log3 n + n3 + 100nFind f (1), f (2),f (3), and f (4) if ƒ (n) is defined recursively by f (0) =1 and for n = 0, 1, 2, . .. a) f (n+ 1) = f (n) + 2. b)f (n + 1) = 3f (n). c)f (n+ 1) = f (n)² +f (n) + 1. Give a recursive definition of the sequence {an}, n= 1, 2, 3, ... if а) а, — бп. b) a, 3 (п-1)?. c) a, = 2"+1Let n be an integer such that n>0. Consider the alphabet = {0, 1, 2} and let a,, denote the number of strings over Σ with length n which do not contain two consecutive zeros? Derive a recursive definition for the above scenario.
- Let w(n) and A(n) denote respectively, the worst case and average case running time of an algorithm executed on an input of size n. which of the following is ALWAYS TRUEA graph is a collection of vertices and edges G(V, E). A weighted graph has weights (numbers, etc.) on every edge. A multigraph can have more than one edges between any vertices. Explain why a person should use a weighted graph instead of a multigraph. Give examples. An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge memory for large graphs. How this situation can be improved? What programming constructs better suit graph representation? Explain with exampleGiven an unsorted array A of integers of any size, n ≥ 3, and an integer value x, write an algorithm as a pseudo code (not a program!) that would find out if there exist EXACTLY3 occurrences in the array with value x. What is the time complexity of your algorithm, in terms of Big-O? What is the space complexity of your algorithm, in terms of Big-O? What if , the given array A is sorted. Will time complexity change from the case that A was unsorted? • If yes; give a new algorithm that achieves this better complexity (indicate the time complexity as of that algorithm). • If no, explain why such new constraints/conditions cannot lead to a better time complexity.