What are the approximation guarantees of greedy algorithms for NP-hard problems like set cover and vertex cover?

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Greedy Algorithms Interview Questions

  1. [JUNIOR] What is a greedy algorithm and how does it work?
  2. [MID] What is the difference between greedy algorithms and dynamic programming?
  3. [JUNIOR] What is the greedy choice property and why is it important?
  4. [JUNIOR] What is optimal substructure and how does it relate to greedy algorithms?
  5. [MID] Why does the greedy approach work for the fractional knapsack problem but not for the 0/1 knapsack problem?
  6. [MID] How does Huffman coding use a greedy strategy for optimal data compression?
  7. [SENIOR] How do you prove that a greedy algorithm produces an optimal solution using an exchange argument?
  8. [SENIOR] How does Dijkstra's algorithm use a greedy approach for shortest paths and when does it fail?
  9. [JUNIOR] What does it mean for a greedy algorithm to make locally optimal choices?
  10. [JUNIOR] How does the activity selection problem work using a greedy approach?
  11. [JUNIOR] What is the fractional knapsack problem and how is it solved with a greedy approach?
  12. [MID] How does the job sequencing problem with deadlines work using a greedy approach?
  13. [MID] How do you solve the jump game problem using a greedy strategy?
  14. [MID] What is the interval scheduling problem and how does sorting by end time lead to the optimal greedy solution?
  15. [SENIOR] How does Kruskal's algorithm use a greedy strategy to find the minimum spanning tree?
  16. [SENIOR] How does Prim's algorithm find the minimum spanning tree and how does it compare to Kruskal's algorithm?
  17. [JUNIOR] What is the difference between a greedy algorithm and a brute-force approach?
  18. [JUNIOR] How does the coin change problem work with a greedy approach and when does it give the optimal result?
  19. [MID] How do you solve the minimum number of platforms problem using a greedy approach?
  20. [MID] How do you solve the gas station circular route problem using a greedy approach?
  21. [MID] How do you merge overlapping intervals using a greedy approach?
  22. [SENIOR] How do you recognize when a greedy approach is applicable versus when dynamic programming is needed?
  23. [SENIOR] How do you solve the candy distribution problem where each child must have more candy than neighbors with lower ratings?
  24. [EXPERT] What is the relationship between matroids and greedy algorithms and how does matroid theory prove greedy optimality?
  25. [JUNIOR] What is the assign cookies problem and how do you solve it greedily?
  26. [MID] How does the greedy coin change algorithm fail for certain denominations and how do you detect this?
  27. [MID] What is the difference between greedy algorithms and divide-and-conquer algorithms?
  28. [MID] How do you solve the non-overlapping intervals problem using a greedy approach?
  29. [MID] How do you solve the partition labels problem using a greedy approach?
  30. [SENIOR] How does the minimum number of refueling stops problem combine greedy strategy with a priority queue?
  31. [SENIOR] How do you solve the queue reconstruction by height problem using a greedy strategy?
  32. [SENIOR] How do you solve the minimum number of arrows to burst balloons problem using a greedy approach?
  33. [EXPERT] What are the approximation guarantees of greedy algorithms for NP-hard problems like set cover and vertex cover?
  34. [EXPERT] How do submodular functions relate to greedy algorithms and what approximation bounds do they provide?
  35. [JUNIOR] What are some real-world examples where greedy algorithms are applied?
  36. [MID] How does the task scheduler problem use a greedy approach to minimize idle CPU time?
  37. [MID] How do you remove K digits from a number to make it the smallest possible using a greedy approach?
  38. [SENIOR] How would you rearrange a string so that no two adjacent characters are the same using a greedy approach?
  39. [SENIOR] How do you solve the IPO problem of maximizing capital by selecting at most k projects using a greedy approach?
  40. [EXPERT] How does Boruvka's algorithm compare to Kruskal's and Prim's for minimum spanning trees in parallel computing environments?
  41. [EXPERT] What is the competitive ratio in online greedy algorithms and how does it apply to problems like the ski rental problem?
  42. [MID] How do you minimize the cost of connecting n ropes using a greedy approach?
  43. [SENIOR] What is the interval partitioning problem and why does the greedy approach based on earliest start time optimize resource usage?
  44. [EXPERT] How would you design a greedy approximation for the traveling salesman problem using minimum spanning trees?
  45. [EXPERT] How do randomized greedy algorithms improve worst-case guarantees compared to deterministic greedy approaches?
  46. [EXPERT] How does the primal-dual method relate to greedy algorithms in combinatorial optimization?