Loop invariants 2000 Consider the following code, assuming that i, x, y, and n are integers, with n ≥ 0. • State a non-trivial loop invariant for variable . • Prove the loop invariant. Be sure that the proof includes the final conditions after the loop has ended. • Note: a correct proof of an incorrect invariant will still receive partial credit. • Give the final value of a in terms of n. Hint: is the pattern close to (e.g. off by one) from some other pattern you might recognize? Hint: you might need to include a condition for y somewhere within your proof.

Loop invariants 2000 Consider the following code, assuming that i, x, y, and n are integers, with n ≥ 0. • State a non-trivial loop invariant for variable . • Prove the loop invariant. Be sure that the proof includes the final conditions after the loop has ended. • Note: a correct proof of an incorrect invariant will still receive partial credit. • Give the final value of a in terms of n. Hint: is the pattern close to (e.g. off by one) from some other pattern you might recognize? Hint: you might need to include a condition for y somewhere within your proof.

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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Correct answer will be upvoted else downvoted. Computer science. Presently Nezzar has a beatmap of n particular focuses A1,A2,… ,An. Nezzar might want to reorder these n focuses so the subsequent beatmap is great. Officially, you are needed to find a change p1,p2,… ,pn of integers from 1 to n, to such an extent that beatmap Ap1,Ap2,… ,Apn is great. In case it is unthinkable, you ought to decide it. Input The primary line contains a solitary integer n (3≤n≤5000). Then, at that point, n lines follow, I-th of them contains two integers xi, yi (−109≤xi,yi≤109) — directions of point Ai. It is ensured that all focuses are unmistakable. Output In case there is no arrangement, print −1. In any case, print n integers, addressing a legitimate change p. In case there are numerous potential replies, you can print any.
Fill in the blanks 1. The --------- of a number is defined to be the power to which some positive ( except 1) must be raised in order to equal the number. 2. an integer p>1 is a ------- number if and only if its only divisors are +1 and +p. 3. Although it does n in 2002 a relatively simple deterministic algorithm that efficiently determines whether a given large number is a prime was developed. This algorithm is Known as the ---------- algorithm. 4. ------- have the following properties: 1. a=b(mod n) if n|(a-b) 2. a=b(mod n)implies b =a(mod n) 3. a=b(modn) and b = c(mod n) imply a=c(mod n)
Crack the crag def crag_score(dice): Crag (see the Wikipedia page for the scoring table needed in this problem) is a dice game similar to the more popular games of Yahtzee and Poker dice in style and spirit, but with much simpler combinatorics of roll value calculation due to this game using only three dice. Players repeatedly roll three dice and assign the resulting patterns to scoring categories so that once some roll has been assigned to a category, that category is considered to have been spent and cannot be used again for any future roll. These tactical choices between safety and risk-taking give this game a little bit more tactical flair on top of merely relying on the favours of Lady Luck for rolling the bones. Given the list of pips of the three dice of the first roll, this function should compute and return the highest possible score available when all categories of the scoring table are still available for you to choose from, so that all that matters is maximizing this…
Write a classifier algorithm for p(Y |X,α)
Determine whether the following is true or false. Please cite the brief explanation so that I can know why is it true or false. a) The sentence “If x > 0, then compute √π”, is as tatement. b) The compound statement p ∧(q ∨¬p )∧¬q is ac ontradiction. c) ¬( p ∨ q) ≡ ¬p ∧¬q d) 1 ∈ {{1},{2},{3}} e) Set B = {x | x ∈ ℝ and x4 =16} is finite. f) [2,4] U (3,5) is a disjoint union g) A\B = A ∩ Bc h) A X B = B X A I) {{Ø}} = 0 j) The contrapositive of p -> (p V ¬p) = (¬p∧ q) -> ¬p
(Recursive Exponentiation) Write a recursive function power(base, exponent) that wheninvoked returnsbaseexponentFor example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equalto 1. Hint: The recursion step would use the relationshipbaseexponent = base * baseexponent–1and the terminating condition occurs when exponent is equal to 1 becausebase1 = base
c++ or java or in pseudo code with explaining note: if anything is unclear or seems left out make an assumption and document your assumption Implement an algorithm for assigning seats within a movie theater tofulfill reservation requests. Assume the movie theater has the seatingarrangement of 10 rows x 20 seats, as illustrated to the below.The purpose is to design and write a seat assignmentprogram to maximize both customer satisfaction and customersafety. For the purpose of public safety, assume that a buffer of three seats inbetween Input DescriptionYou will be given a file that contains one line of input for eachreservation request. The order of the lines in the file reflects the order inwhich the reservation requests were received. Each line in the file will becomprised of a reservation identifier, followed by a space, and then thenumber of seats requested. The reservation identifier will have theformat: R####. See the Example Input File Rows section for anexample of the input…
Write true (T) or false (F) for each of the following: 1. The practical reason for using algorithms is the need for efficient algorithms to solve most practical problems. [ ] 2. A Class is a data type and Object is an instance of a class. [ ] 3. In class inheritance, a subclass inherits only the non-private members of the superclass. [ ] 4. Adding a derived class to a base class requires fundamental changes to the base class. [ ] 5. In object-oriented programming, an object can be a subclass of another object. [ ] 6. A constructor is a function that is automatically called when an object is created. [ ] 7. A function in a child class can override another function in the parent class with the same signature. [ ] 8. Solving recurrence equations using substitution method is powerful but not systematic. [ ] 9. The time complexity is a measure of the amount of memory needed for an algorithm to execute. [ ] 10. By using Master method, if ?(?)=9?(?3)+?, then ?(?) will be equal to ?(?3).
Artificial Intelligence - Local Search Starting from a randomly generated state of the 15-puzzle game (https://en.wikipedia.org/wiki/15_puzzle), steepest-ascent hill-climbing (the vanilla version of hill-climbing search) gets stuck 76% of the time, i.e., solving only 24% of problem instances. But it works very quickly, i.e., it takes just 6 steps on average when it succeeds and 5 steps when it gets stuck. In contrast, if sideways moves are allowed, this raises the percentage of problem instances solved by hill-climbing from 24% to 81%, with the success at a cost: the algorithm averages roughly 7 steps for each successful instance and 32 steps for each failure. Now suppose that we are implementing random-restart hill climbing (i.e., if a search fails, it keeps to try, and try, until it gets a success) by the following two versions: one uses vanilla steepest-ascent hill climbing, and the other one uses hill climbing with sideways moves. Can you please tell which version of…
The three integers n, I and j, with I and j being between 1 and 2n, are the prerequisites to the issue. You have a board of squares that is 2n by 2n squares. Each tile has an adequate amount of pieces and the desired form. With the exception of the solitary square at position I j, you must cover every 2n 2n tile on the board by placing nonoverlapping tiles. Provide a recursive method for this issue where you lay one tile on your own and then enlist the aid of four buddies. a case is a phrase, right?
Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.
Profile the performance of the memoized version of the Fibonacci function defined in Project 6. The function should count the number of recursive calls. State its computational complexity using big-O notation, and justify your answer. The fib function header has been modified to include the counter as the second parameter. Define the Counter class, it should have three methods: __init__, increment, and __str__. When an instance of the Counterclass is passed as a parameter, the countproperty of that instance should be incremented based on the number of recursive calls. The __str__ method should return the countproperty's value as a string. Please can you change the solution to this problem here, because this is wrong. """ File: fib.py Project 11.7 Employs memoization to improve the efficiency of recursive Fibonacci. Counts the calls and displays the results. """ class Counter(object): def__init__(self,count=0): self.count=count defincrement(self): self.count+=1 def__str__(self):…