Greedy Algorithms Overview

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Questions and Answers

What is the 'Greedy Choice Property' that a problem must have in order to be solved using a greedy algorithm?

  • The algorithm must always produce the global best result
  • The algorithm must work in a top-down approach
  • The problem must have an optimal substructure
  • The optimal solution can be found by choosing the best choice at each step without reconsidering previous steps (correct)

What is the key characteristic of a greedy algorithm?

  • It reverses earlier decisions if they are wrong
  • It selects the best option available at the moment (correct)
  • It always finds the global best result
  • It works in a bottom-up approach

What is the 'Optimal Substructure' property that a problem must have in order to be solved using a greedy algorithm?

  • The optimal overall solution must correspond to the optimal solution of its subproblems (correct)
  • The algorithm must always produce the global best result
  • The problem must have the greedy choice property
  • The algorithm must work in a bottom-up approach

What is the main drawback of using a greedy algorithm?

<p>It doesn't always produce the optimal solution (D)</p> Signup and view all the answers

In the example given, what is the greedy approach to finding the longest path from the root to a leaf node?

<p>Start at the root node 20 and always choose the next node with the highest value (D)</p> Signup and view all the answers

What is the key difference between a greedy algorithm and a dynamic programming approach?

<p>Greedy algorithms consider only the current best choice, while dynamic programming considers all possible choices (A)</p> Signup and view all the answers

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