nput: S ( a set of integers), m ( an integer) output: All finite subsets of S that sum to m 1. List all the finite subsets of iS that sum to m 2. Step through the subsets of S and their sums How well does this algorithm meet each of the following criteria for being a good algorithm? input output precision determinism finiteness correctness generality

nput: S ( a set of integers), m ( an integer) output: All finite subsets of S that sum to m 1. List all the finite subsets of iS that sum to m 2. Step through the subsets of S and their sums How well does this algorithm meet each of the following criteria for being a good algorithm? input output precision determinism finiteness correctness generality

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two movies X, Y, and gives a positive similarity score f(X, Y) in constant time. Task: Design an efficient algorithm that partitions the movies into exactly k disjoint sets such that movies from different sets have a similarity score at most q. If such groups cannot be made, then print 'Unsatisfiable'. Yeah, please what is the time complexity for this algorithm, thanks.
Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two movies X, Y, and gives a positive similarity score f(X,Y) in constant time. Task: Design an efficient algorithm that partitions the movies into exactly k disjoint sets such that movies from different sets have a similarity score at most q. If such groups cannot be made, then print 'Unsatisfiable'. Give an efficient algorithm (to the best of your knowledge) and a formal proof of correctness for your algorithm. An answer without any formal proof will be considered incomplete. Analyze the running time of the algorithm. You must write down your algorithm as pseudocode or describe it as a set of steps (as we do in the class). Do not provide code that is written in a code editor using C/C++/Python/Java, etc.
# Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime. Your function should return True, if n is prime, and False otherwise. Your algorithm has to be effective for n ~ 1,000,000,000,000.def isPrime(n):
Total OccurranceGiven two integer numbers input1 and input2, find the total number of occurrences of input1 in aseries of natural numbers from 0 till input2.Note:1. input1 will be within 1-9 and1. input2 will be within 1 – 100.Prototype: public int findTotalOccurrence(int input1, int input2)Example 1:input1 = 2input2 = 20output = 3Explanation: Number 2 is repeated 3 times in the series of natural numbers from 0 - 20 ie at 2,12, 20.Example 2:input1 = 2input2 = 30output = 13Explanation: Number 2 is repeated 13 times in the series of natural numbers from 0 – 30 i.e. at 2,12, 20, 21, 22 (occurred twice), 23, 24, 25, 26, 27, 28, 29
Course: Algorithm Project: We will use the defintion of of n-Queens Problem from the chapter Backtracking. In this project you need to describe Problem and Algorithm and Indicate input and output clearly. Analyze and prove the time complexity of your algorithm. Implement the algorithm using backtracking(including writing testing case).illustrate key functions with comments indicating: What it does, what each parameter is used for, how it handles errors etc. Indicate the testing scenarios and testing the results in a clear way. Make sure source is commented appropriately and structured well.
Nuts and bolts You are given a collection of n bolts of different widths and n corresponding nuts. You are allowed to try a nut and bolt together, from which you can determine whether the nut is larger than the bolt, smaller than the bolt, or matches the bolt exactly. However, there is no way to compare two nuts together or two bolts together. The problem is to match each bolt to its nut. Design an algorithm for this problem with average-case efficiency in (n log n).
Searching and Sorting Sort a singly linked sequential list using bubble sort algorithm. Sort a singly linked sequential list using selection sort algorithm. Sort a DOUBLY linked sequential list using insertion sort algorithm. Implement binary search algorithm RECURSIVELY.Instructions Complete the following methods on Searching and Sorting. You may use any language must be Java or Python to complete the tasks. If you are using JAVA, you must include the Tester class containing the main method which should test your other methods. If you are using PYTHON, make sure your code has the methods invoked through test statements. Usage of built in methods/libraries are NOT ALLOWED
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Ridbit begins with an integer n. In one action, he can perform one of the accompanying tasks: partition n by one of its appropriate divisors, or take away 1 from n in case n is more prominent than 1. An appropriate divisor is a divisor of a number, barring itself. For instance, 1, 2, 4, 5, and 10 are appropriate divisors of 20, however 20 itself isn't. What is the base number of moves Ridbit is needed to make to decrease n to 1? Input The principal line contains a solitary integer t (1≤t≤1000) — the number of experiments. The main line of each experiment contains a solitary integer n (1≤n≤109). Output For each experiment, output the base number of moves needed to lessen n to 1.
Sorting Jojo was given a Math assignment by his teacher. Jojo's task is to sort a number of given then find the closest pair of numbers that has the maximum difference after sorted. Jojo was asked to write down a list of the pairs of numbers. Input FormatThe first line of input is an integer N i.e. the number of numbersThe second line is a series of numbers Ai as many as N Output FormatPairs of numbers separated by spaces Constraints2 ≤ N ≤ 105-107 ≤ Ai ≤ 107 Sample Input 52 -8 3 1 -10 Sample Output-8 1 Sample Input1045 9 3 -6 100 68 -57 23 -11 -25 Sample Output-57 -25 68 100 In the sample above if the input is sorted then:-10 -8 1 2 3 so that the difference between each number in sequence is 2, 9, 1, 1-57 -25 -11 -6 3 9 23 45 68 100 so the difference is 32, 14, 5, 9, 6, 14, 22, 23, 32 NotesEven though it wasn't stated in the problem, by now you should know that the advantages spaces or lines are considered WRONG ANSWER.
* Euclid's algorithm (or the Euclidean algorithm) is an algorithm that computes the greatest common divisor, denoted by gcd, of two integers. Below are the original version of Euclid's algorithm that uses repeated subtraction and another one that uses the remainder. int gcd sub (a,b) int gcd rem(a,b) int a,b; int a,b; { { if (!a) int t; return b; while (b) while (b) { if (a > b) = b; a = a - b; b = a % b; else a t; b = b - a; } return a; return a; } } 1. Trace each of the above algorithm using these values: a=24 and b = 18. Show your work 2. Compare both algorithms. That is, which one is better and why? Show your work.
Euclid’s algorithm (or the Euclidean algorithm) is an algorithm that computes thegreatest common divisor, denoted by gcd, of two integers. Below are the original versions ofEuclid’s algorithm that uses repeated subtraction and another one that uses the remainder.int gcd_sub(int a, int b){ if (!a) return b; while (b) if (a > b) a = a – b; else b = b – a; return a;}int gcd_rem(int a, int b){ int t; while (b) { t = b; b = a % b; a = t; } return a;}1. Trace each of the above algorithm using specific values for a and b.2. Compare both algorithms.
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. anglers have recently gotten back from a fishing excursion. The I-th angler has gotten a fish of weight man-made intelligence. Anglers will flaunt the fish they got to one another. To do as such, they initially pick a request where they show their fish (every angler shows his fish precisely once, in this way, officially, the request for showing fish is a stage of integers from 1 to n). Then, at that point, they show the fish they discovered by the picked request. At the point when an angler shows his fish, he may either become glad, become dismal, or stay content. Assume an angler shows a fish of weight x, and the most extreme load of a formerly shown fish is y (y=0 if that angler is quick to show his fish). Then, at that point: in the event that x≥2y, the angler becomes cheerful; in the event that 2x≤y, the angler becomes miserable; in the event that none of these two…