1. Instances of the knapsack with weights logarithmic in the number of items can be solved...
1. Instances of the knapsack with weights logarithmic in the number of items can be solved in polynomial time.
Yes, No, or Unknown?
2. Given an instance of x of a problem in NP and well-formed string y that may or may not be a solution to x. Can checking that y is a solution to x be done in polynomial time?
Yes, No, or Unknown?
3. Finding if an undirected graph is a forest (consists of trees) is in P.
Yes, No, or Unknown?
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1. Instances of the knapsack with weights logarithmic in the
number of items can be solved...
Recall that in the "Knapsack Problem", there are n items having respective values V1..n) and weights...
Recall that in the "Knapsack Problem", there are n items having respective values V1..n) and weights W1..n), all greater than 0 and one needs to maximize the total value of the subset of the items placed in the knapsack limited by a weight capacity of W In the 0-1 Knapsack Problem, each item must be either be included or excluded in its entirety, in light of the fact that this problem is to be "NP-Complete", how can one solve the...
1. Fractional Knapsack Problem Algorithm Which best describes the tightest range of the number of items...
1. Fractional Knapsack Problem Algorithm Which best describes the tightest range of the number of items with only fractional inclusion (i.e. not entirely included or excluded) in the knapsack? (Let n denote the number of items for possible inclusion.) A) At least 0 items and at most n items B) At least 1 items and at most n items C) Exactly n items D) At least 0 items and at most n-1 items E) At least 1 items and at...
4. Suppose that A Rnn is nonsingular. We can pose the problem of finding A-1 as...
4. Suppose that A Rnn is nonsingular. We can pose the problem of finding A-1 as the system of linear equations where X e R" is the unknown inverse matrix. We assume that A has LU factorization A LU (a) Explain how we can use the LU factorization of A and the ear system (4.1.1) to calculate the inverse A-1 Hint: The system (4.1.1) is a system of n × n equations and n × n unknowns. Consider the linear...
can someone please answer number one? im so lost DYES AND DYEING CHAPTER 1. Calculate the...
can someone please answer number one? im so lost
DYES AND DYEING CHAPTER 1. Calculate the amounts of salicylic acid, 1-naphthol, 2-naphthol, 8-anilino-1-naph- thalenesulfonic acid ammonium salt, or N,N-dimethylaniline needed for Part 1B of this experiment (use molecules as assigned by your TA). 190mg 3-aminobenzene 2.5mL Sulfonic acid 2.5% sodium carbonate solution 81mg Sodium nitrate 2. What is the purpose of the sodium carbonate in Part 1A? Why do we add glacial acetic acid in Part 13 when we react...
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated...
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...
What is the role of polymorphism? Question options: Polymorphism allows a programmer to manipulate objects that...
What is the role of polymorphism? Question options: Polymorphism allows a programmer to manipulate objects that share a set of tasks, even though the tasks are executed in different ways. Polymorphism allows a programmer to use a subclass object in place of a superclass object. Polymorphism allows a subclass to override a superclass method by providing a completely new implementation. Polymorphism allows a subclass to extend a superclass method by performing the superclass task plus some additional work. Assume that...
Recall that in the "Knapsack Problem", there are n items having respective values V1..n) and weights W1..n), all greater than 0 and one needs to maximize the total value of the subset of the items placed in the knapsack limited by a weight capacity of W In the 0-1 Knapsack Problem, each item must be either be included or excluded in its entirety, in light of the fact that this problem is to be "NP-Complete", how can one solve the...
4. Suppose that A Rnn is nonsingular. We can pose the problem of finding A-1 as the system of linear equations where X e R" is the unknown inverse matrix. We assume that A has LU factorization A LU (a) Explain how we can use the LU factorization of A and the ear system (4.1.1) to calculate the inverse A-1 Hint: The system (4.1.1) is a system of n × n equations and n × n unknowns. Consider the linear...
can someone please answer number one? im so lost
DYES AND DYEING CHAPTER 1. Calculate the amounts of salicylic acid, 1-naphthol, 2-naphthol, 8-anilino-1-naph- thalenesulfonic acid ammonium salt, or N,N-dimethylaniline needed for Part 1B of this experiment (use molecules as assigned by your TA). 190mg 3-aminobenzene 2.5mL Sulfonic acid 2.5% sodium carbonate solution 81mg Sodium nitrate 2. What is the purpose of the sodium carbonate in Part 1A? Why do we add glacial acetic acid in Part 13 when we react...
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