Permutations with Constraints and Backtracking
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Questions and Answers

What is the condition to determine if an item shouldn't be added to the knapsack?

  • The weight of the item equals the weight of the candidate
  • The weight of the item plus the weight of the candidate exceeds the capacity (correct)
  • The weight of the item plus the weight of the candidate is less than the capacity
  • The weight of the item is more than the weight of the candidate

    • Why must an item be extended if it can extend a candidate?

  • To potentially reach a higher value solution (correct)
  • To ensure the current best solution remains unchanged
  • To prevent the solution from exceeding the capacity
  • Because an extended candidate always leads to a better solution

    • What does it mean when an item can extend a candidate towards a solution?

  • The capacity is less than both the item's weight and the candidate's weight
  • The sum of their weights doesn't exceed the capacity (correct)
  • The item has a higher weight than the candidate
  • The item's value is lower than the candidate's value

    • In the context of extending a candidate, what does 'pruning the search space early' refer to?

    <p>Ending the search for a better solution prematurely</p> Signup and view all the answers

    Why is it important to ensure that items in this problem cannot have negative values?

    <p>Negative values would lead to invalid solutions</p> Signup and view all the answers

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