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ANAL UP ALUUm FINAL PART1 ouesnoN13 which ot the following is QUESTION14. Which of the following...
Question 1 The following statements illustrate which concept below? var1 = 1 while var1 != 0: var1 = var1+ 1 A. A P complex problem. B. A deterministic problem. C. An NP problem. D. The halting probl...
Question 1 The following statements illustrate which concept below? var1 = 1 while var1 != 0: var1 = var1+ 1 A. A P complex problem. B. A deterministic problem. C. An NP problem. D. The halting problem. Question 2 If a function is computable, A. both a Turing machine and a Bare Bones Language program can solve it . B. a Turing machine can solve it, but a Bare Bones Language program cannot . C. a Turing machine cannot solve...
algorithm TRUE OR FALSE TRUE OR FALSE Optimal substructure applies to alloptimization problems. ...
algorithm TRUE OR FALSE TRUE OR FALSE Optimal substructure applies to alloptimization problems. TRUE OR FALSE For the same problem, there might be different greedy algorithms each optimizes a different measure on its way to a solutions. TRUE OR FALSE Computing the nth Fibonacci number using dynamic programming with bottom-upiterations takes O(n) while it takes O(n2) to compute it using the top-down approach. TRUE OR FALSE Every computational problem on input size n can be...
9. Identify which of these problems are NP-complete and which can be exactly solved using a...
9. Identify which of these problems are NP-complete and which can be exactly solved using a polynomial time algorithm (a) Finding the vertex cover in a line graph (b) Finding the maximum clique in a tree (c) Finding the independent set in complete graph (d) Finding the Hamiltonian cycle in a graph that has exactly one cycle
1a) For which operations are the polynomials closed (i.e. if the operands are polynomials, the result...
1a) For which operations are the polynomials closed (i.e. if the operands are polynomials, the result will also be polynomial) Multiple answers:You can select more than one option A Addition B Subtraction C Multiplication D Division E Exponentiation F Composition 1b) Which of the following "Millenium Problems" is now considered solved? A Yang–Mills and Mass Gap B Riemann Hypothesis C P vs NP Problem D Navier–Stokes Equation E Hodge Conjecture F Poincaré Conjecture G Birch and Swinnerton-Dyer Conjecture 1c) Which...
You are managing a large scale construction project with hundreds of subprojects, some which have to...
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
5. Chapter 22. Give the BFS(G.s) algorithm 6. Computing Complexities Chapter. What is the Hamiltonian Cycle...
5. Chapter 22. Give the BFS(G.s) algorithm 6. Computing Complexities Chapter. What is the Hamiltonian Cycle Problem? Hamiltonian cycle problem 7. Computing Complexities Chapter. Define an NP-Complete problem. Do not give an example. Rather tell what it is. Be formal about the definition NP-Complete problems are in NP, the set of all decision probleus whose solutions can be verified in polynomial time 8. Computing Complexities Chapter. What is PSPACE? Set of all decision problems that can be by a turing...
Analysis of Algorithms Fall 2013 Do any (4) out of the following (5) problems 1. Assume n-3t is a...
Analysis of Algorithms Fall 2013 Do any (4) out of the following (5) problems 1. Assume n-3t is a power of 3 fork20. Solve accurately the following recursion. If you cannot find the exact solution, use the big-O notation. Tu) T(n)Tin/3)+2 2. Suppose that you have 2 differeut algorithms to solve a giveu probleen Algorithm A has worst-case time complexity e(n2) and Algorithm B has worst-case time complexity e(nlog n). Which of the following statements are true and which are...
(a) Your company participates in a competition and the fastest algorithm wins. You know of two...
(a) Your company participates in a competition and the fastest algorithm wins. You know of two different algorithms that can solve the problem in the competition. • Algorithm I solves problems by dividing them into five subproblems of half the size, recursively solving each subproblem, and then combining the solutions in linear time. • Algorithm 2 solves problems of size n by dividing them into 16 subproblems of size n/4, recursively solving each subproblem, and then combining the solutions in...
Problem 6. (Weighted Graph Reduction) Your friend has written an algorithm which solves the all pairs shortest path pr...
Problem 6. (Weighted Graph Reduction) Your friend has written an algorithm which solves the all pairs shortest path problem for unweighted undirected graphs. The cost of a path in this setting is the number of edges in the path. The algorithm UNWEIGHTEDAPSP takes the following input and output: UNWEİGHTEDA PSP Input: An unweighted undirected graph G Output: The costs of the shortest paths between each pair of vertices fu, v) For example, consider the following graph G. The output of...
5) Which of the following is/are true? (2pts) I) a brute force algorithm will always give...
5) Which of the following is/are true? (2pts) I) a brute force algorithm will always give you the optimal solution Il) since greedy algorithms make locally optimal choices, they are always guaranteed to find the best possible solution to an optimization problem IlI) brute-force solutions generally run slower than greedy algorithms a) I and lIl b)1 and IlI c) Il and III d) Ill only e) I, I and llI
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
5. Chapter 22. Give the BFS(G.s) algorithm 6. Computing Complexities Chapter. What is the Hamiltonian Cycle Problem? Hamiltonian cycle problem 7. Computing Complexities Chapter. Define an NP-Complete problem. Do not give an example. Rather tell what it is. Be formal about the definition NP-Complete problems are in NP, the set of all decision probleus whose solutions can be verified in polynomial time 8. Computing Complexities Chapter. What is PSPACE? Set of all decision problems that can be by a turing...
Analysis of Algorithms Fall 2013 Do any (4) out of the following (5) problems 1. Assume n-3t is a power of 3 fork20. Solve accurately the following recursion. If you cannot find the exact solution, use the big-O notation. Tu) T(n)Tin/3)+2 2. Suppose that you have 2 differeut algorithms to solve a giveu probleen Algorithm A has worst-case time complexity e(n2) and Algorithm B has worst-case time complexity e(nlog n). Which of the following statements are true and which are...
(a) Your company participates in a competition and the fastest algorithm wins. You know of two different algorithms that can solve the problem in the competition. • Algorithm I solves problems by dividing them into five subproblems of half the size, recursively solving each subproblem, and then combining the solutions in linear time. • Algorithm 2 solves problems of size n by dividing them into 16 subproblems of size n/4, recursively solving each subproblem, and then combining the solutions in...
Problem 6. (Weighted Graph Reduction) Your friend has written an algorithm which solves the all pairs shortest path problem for unweighted undirected graphs. The cost of a path in this setting is the number of edges in the path. The algorithm UNWEIGHTEDAPSP takes the following input and output: UNWEİGHTEDA PSP Input: An unweighted undirected graph G Output: The costs of the shortest paths between each pair of vertices fu, v) For example, consider the following graph G. The output of...
5) Which of the following is/are true? (2pts) I) a brute force algorithm will always give you the optimal solution Il) since greedy algorithms make locally optimal choices, they are always guaranteed to find the best possible solution to an optimization problem IlI) brute-force solutions generally run slower than greedy algorithms a) I and lIl b)1 and IlI c) Il and III d) Ill only e) I, I and llI
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