Constraint Satisfaction Problems
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Questions and Answers

What is the purpose of the can_extend function?

  • To check if adding an item to a candidate set exceeds the capacity (correct)
  • To generate all possible candidate sets
  • To find the optimal solution for the knapsack problem
  • To calculate the total value of a candidate set

Which of the following statements about the extend function is true?

  • It updates the `best` solution if the current candidate is better
  • It recursively explores all possible extensions of a candidate set (correct)
  • It checks if a candidate satisfies the global constraints
  • It calculates the weight and value of a candidate set

What is the purpose of the value function in the context of the knapsack problem?

  • To calculate the total value of a candidate set (correct)
  • To check if a candidate set satisfies the capacity constraint
  • To calculate the total weight of a candidate set
  • To generate all possible candidate sets

Which comparison operator should be used to determine if a candidate is the new best solution in the knapsack problem?

<p>Greater than (<code>&amp;gt;</code>) (C)</p> Signup and view all the answers

What is the purpose of the satisfies_global function mentioned in the text?

<p>It is not needed for the knapsack problem (A)</p> Signup and view all the answers

What is the role of the extensions parameter in the extend function?

<p>It represents the items that can be added to the current candidate set (D)</p> Signup and view all the answers

What is the purpose of the instance parameter in the extend function?

<p>It represents the problem instance with all necessary data (D)</p> Signup and view all the answers

What is the time complexity of the backtracking algorithm for the knapsack problem?

<p>O(2^n) (A)</p> Signup and view all the answers

Which of the following statements about the best parameter is correct?

<p>It represents the optimal solution found so far (D)</p> Signup and view all the answers

What is the purpose of the union operation in the extend function?

<p>To add an item to the current candidate set (A)</p> Signup and view all the answers

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