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- Here is a statement about NP-complete problems: “Some NP-complete problems are polynomial-time solvable, and some NP-complete problems are not polynomial-time solvable.” Decide if this statement if true or false and provide an explanation.Python Knapsack Problem: 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. You wish to maximize the total value of the items you select not exceeding the given weight capacity, example, maximize sum_{a in A} such that sum_{w in W} <= C. Note that you can only select your items once. Reformulate this as a bottom-up dynamic programming problem as follows. Define K_{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. K_{0,j} for all j and K_{i,0} for all i. What is the loop statement?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.
- Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…Problem Statement: An election is a formal group decision-making process by which a population chooses a candidate by casting votes. Each candidate is assigned name and a specific symbol. A ballot paper is used to cast the vote. Each ballot paper contains symbols of the candidate. A person can vote a candidate by stamping on a specific symbol. The ballot paper should be considered as a spoilt ballot if a person does not stamp or stamp on more than one symbol. Finally ballot paper has to be dropped in a ballot box. Write a C++ program that reads the information from the user to enter the name of the candidate, the total number of received votes, and the spoilt votes in a local election. The total number of participants (candidates) are 5. If the user mistakenly enters any negative value, the program should consider that value as a positive integer. The program should output the name, total received votes, and the percentage of obtained votes by the winning candidate. The program should…QUESTION THREEConsider the thirsty person problem given below: To drink, a thirsty person must have three things; water, ice and a glass. There are three thirsty people, each having a different one (and only one) of the three required items. A fourth person, a server has unlimited supply of all three items. If nobody is drinking, the server places two of the three items (chosen at random) onto table. Thirsty person who can make a drink from those two items will pick them up and drink a glass of ice water. When done, thirsty person will notify the server and the process will repeat. Write a process that will control the thirsty person and the server using semaphores. (i) What is a critical section in code?Explain the three properties that any solution to the Critical Section Problem should guarantee.Explain the role the Operating System plays in Garbage-In-Garbage-Out (GIGO).
- L2= {1010 10ª | a ≥ 0} 5. () Using L₂ from the previous problem, is L₂ € Eo? Circle the appropriate answer and justify your answer. YES or NO 6. () Using L₂ from the previous problem, is L₂ E₁? Circle the appropriate answer and justify your answer. YES or NOPrime Function A prime number is a positive integer that is evenly divisible only by 1 and itself. Write a predicate function called is_prime that accepts an integer parameter and returns true if that number is prime and false otherwise. Assume that the parameter is a positive integer. 57°F Clear 1 def is prime (num): 2 3 4 Check My Solution for i in range (2, num): if num % i == 0: return False return True Test Results: ✓ You are defining a function called is_prime. x The function does not return the correct value when the argument is 2. V Load My Latest Solution Reset The function correctly returns False for the number 6. The function correctly returns True for the number 29. Search/* Minimum Gifts - Problem Description A Company has decided to give some gifts to all of its employees. For that, company has given some rank to each employee. Based on that rank, company has made certain rules to distribute the gifts. The rules for distributing the gifts are: Each employee must receive at least one gift. Employees having higher ranking get a greater number of gifts than their neighbours. What is the minimum number of gifts required by company? Constraints 1 < T < 10 1 < N < 100000 1 < Rank < 10^9 Input First line contains integer T, denoting the number of testcases. For each testcases: First line contains integer N, denoting number of employees. Second line contains N space separated integers, denoting the rank of each employee. Output For each testcase print the number of minimum gifts…
- Please solve max 30 minutes thank u 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 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. 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 methodsCorrect answer will be upvoted else Multiple Downvoted. Computer science. You are playing another PC game in which you need to battle beasts. In a prison you are attempting to clear, you met three beasts; the first of them has a wellbeing focuses, the second has b wellbeing focuses, and the third has c. To kill the beasts, you can utilize a gun that, when discharged, bargains 1 harm to the chose beast. Each 7-th (I. e. shots with numbers 7, 14, 21 and so on) gun fired is upgraded and bargains 1 harm to all beasts, not only one of them. In case some beast's present measure of wellbeing focuses is 0, it can't be designated by an ordinary shot and doesn't get harm from an upgraded shot. You need to pass the prison delightfully, I. e., kill every one of the beasts with a similar improved shot (I. e. after some upgraded shot, the wellbeing points of every one of the beasts should become equivalent to 0 interestingly). Each shot should hit a beast, I. e. each shot arrangements harm to…Project Optimization and regression: Exact and approximate methods to solve 0-1 Knapsack problem Description The 0/1 Knapsack Problem and Logistics Transportation companies such as TNT and Royal Mail face daily problems in logistics. Consider the following simple logistics problem, which you will solve: An airline cargo company has 1 aeroplane which it flies from the UK to the US on a daily basis to transport some cargo. In advance of a flight, it receives bids for deliveries from (many) customers. Customers state the weight of the cargo item they would like delivered, and the amount they are prepared to pay. The airline is constrained by the total amount of weight the plane is allowed to carry. The company must choose a subset of the packages (bids) to carry in order to make the maximum possible profit, given the weight limit that they must respect. In mathematical form the problem is: Given a set of N items each with weight wi and value vi, for i=1 to N, choose a subset of items…
