ASAp please..... avoid plagiarism Question 7Choose the correct answer to fill-in the blankin the sentence below:If a randomized algorithm guarantees correctness but not efficiency then it follows the:O Las vegas PatternO Monte carlo100O Deterministic AlgorithmQuestion 8Let X be a problem that belongs to the class NP. Then which one of the following is TRUE?O If X is NP-hard, then it is NP-complete.O X may be undecidable.○ If X can be solved deterministically in polynomial time, then P = NP.O There is no polynomial time algorithm for X.

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Question 7 Choose the correct answer to fill-in the blank in the sentence below: If a randomized algorithm guarantees correctness but not efficiency then it follows the: O Las vegas Pattern O Monte carlo 0 00 O Deterministic Algorithm

Question 7 Choose the correct answer to fill-in the blank in the sentence below: If a randomized algorithm guarantees correctness but not efficiency then it follows the: O Las vegas Pattern O Monte carlo 0 00 O Deterministic Algorithm

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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Boolean Satisfaction Problem Boolean Satisfiability Problem (SAT) (https://en.wikipedia.org/wiki/Boolean_satisfiability_problem) is one of the most important problems in Computer Science. SAT is a problem that has NP-Complete complexity, where the only way to solve the problem is to try all the possibilities and check which one is correct. [LO 1, LO 2, LO 3 & LO 4,] Briefly describe how you used Backtracking to solve the Boolean Satisfiability Problem. Note that your solution must have exponential complexity. [LO 1, LO 2, LO 3 & LO 4,] Briefly explain how you use Strongly Connected Component (SCC) to solve the special case of the Boolean Satisfiability Problem, namely 2-SAT (https://en.wikipedia. org/wiki/2-SAT) . This solution has linear complexity. Solve the Subparts A&B thank u NOTE LO1: Explain fundamental concept of analysis arithms. LO2: Apply algorithm techniques and methods. LO3: Solve a problem using specific algorithm. LO4: Compare several algorithm design…
A Moving to another question will save this response stion 16 Even brute force algorithms cannot solve NP-problems. True O False A Moving to another question will save this response.
Do you know what means about NP problem ? 單選: a. It is a No answer Problem. O b. It is a problem which can Not Process by computer. O c. It is a Non_determinate answers Problem. d. It is problem which has No Program to execute. O e. It is a problem has Non_determinate Polynomial time algorithm. O f. It is a problem has No determinate Algorithm to solve.
Q1 The periodic function sin⁡(2x) has multiple roots between x values of -5π and 5π. If xL = -15 and xU = 15, which of the following statements is true using a bracketed method? Select one: a. All roots will be returned b. The middle root will be returned c. The chosen bracket is invalid for bracketed methods d. A single root will be returned e. The algorithm will be stuck in an infinite loop Q2 Consider x and y to represent data points (xi,yi), where i = 1, 2, 3, … n. What is the length of pafter running the following command? p = polyval(x,y) Select one: a. n b. n - 1 c. n + 1 d. Empty variable e. 1 Q3 Consider a system of linear equations in the form of AX = B, where X is the unknown vector. Which of the following can be used to solve for X? Select one: a. X = A\B b. X = B./A c. X = inv(B)*A d. X = inv(A)./B e. X = B\A
A student wants to determine whether a certain problem is undecidable. Which of the following will demonstrate that the problem is undecidable? A.Show that for one instance of the problem, an algorithm can be written that is always capable of providing a correct yes-or-no answer B.Show that for one instance of the problem, no algorithm can be written that is capable of providing a correct yes-or-no answer. C. Show that for one instance of the problem, a heuristic is needed to write an algorithm that is capable of providing a correct yes-or-no answer. D. Show that for one instance of the problem, an algorithm that runs in unreasonable time can be written that is capable of providing a correct yes-or-no answer.
In computational complexity theory, we study mostly decision problems (e.g., determine if aBoolean formula has a satisfying assignment), instead of the search problems that are typicallywhat practicing computer scientists really want to solve (e.g., determine if a Boolean formula hasa satisfying assignment, and then output the assignment). It is natural to wonder whether we arestudying the wrong thing. In this exercise, you will show that the difficulty of decision problems isin fact linked closely to that of search problems.Show that if P = NP, then every NP search problem can be solved in polynomial time. In otherwords, for each language A ∈ NP, with a polynomial-time verifier algorithm VA taking inputs x, w,where x ∈ A ⇐⇒ (∃w) VA(x, w) accepts, then there is a polynomial-time algorithm S that, oninput x, does the following. If x ̸∈ A, then S(x) outputs “no”. If x ∈ A, then S(x) outputs w suchthat VA(x, w) accepts.Hint: Build up the witness w bit by bit, by asking NP questions about…
Understand what is a NP Complete problem? 單選: a. It has No Complete answer Problem. O b. It is Completely Non-determinate polynomial time problem. O c. It is a No solved Processing problem, Completely. d. It is a problem, which can Not execute by computer Completely. O e. It is a Problem which has no determinate solving algorithm Completely. O f. It is a problem belongs to both of NP-Hard and NP conditions. O g. A problem can solve Completely by No wrong Processing computation. 3
For each statement below, write True, False, or "It Depends". Note the "It Depends" answer should only be used if the statement's truth is dependent on whether P= N P or not. If A ϵ NP-Hard then A ∉ P
The Knapsack Problem is a famous computer science problem that is defined as follows: imagine you are carrying a knapsack with capacity to hold a total of weight C. You are selecting among n items with values A={a_1, a_2, ... , a_n} and associated weights W={w_1, w_2, ... , w_n}. Here the weights and values are all positive (but not necessarily unique). You wish to maximize the total value of the items you select not exceeding the given weight capacity, i.e. maximize sum_{a in A} such that sum_{w in W} <= C. Please note that you can only select your items once. a) We can reformulate this as a 2D bottom-up dynamic programming problem as follows. Define T_{i,j} as the highest possible value sum considering items 1 through i and total weight capacity j (j <= C). What is the base case i.e. T_{0,j} for all j and T_{i,0} for all i?, and What is the loop statement?
Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of the algorithm in the worst case scenario. function mult (a, b) if b = 0: return 0 else if b is odd: return (mult (2a, b/2 ) +a) else: return (mult (2a, b/2 ) )
ASAP? Please state Yes or No for following questions with proof: 1) A ≤ B and B is not decidable, then A is not decidable. 2) If A ≤p B and A is NP-Complete, then B is decidable 3) If A ≤ B and B is NP-Complete, then A is NP-Hard. 4) If A ≤ B and B is decidable, then A is acceptable. 5) If A ≤p B and B is in NP, then A is acceptable. 6) If A ≤p B and B is in NP, then A is in NP.
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Sasha likes exploring diverse mathematical articles, for instance, wizardry squares. However, Sasha comprehends that enchanted squares have as of now been examined by many individuals, so he sees no feeling of concentrating on them further. All things considered, he designed his own kind of square — a superb square. A square of size n×n is called prime if the accompanying three conditions are held all the while: all numbers on the square are non-negative integers not surpassing 105; there are no indivisible numbers in the square; amounts of integers in each line and every segment are indivisible numbers. Sasha has an integer n. He requests you to view as any great square from size n×n. Sasha is certain beyond a shadow of a doubt such squares exist, so help him! Input The principal line contains a solitary integer t (1≤t≤10) — the number of experiments. Every one…