Nearest Neighbor Data Structure Quiz
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Questions and Answers

What is the time complexity for the L1 metric algorithm discussed in the text?

  • O(n log n)
  • O(k^2 + kn log log n + n log n) (correct)
  • O(kn log n)
  • O(n log log m)

    • What is the key difference in computation between the algorithm discussed in the text and theorem 4?

  • Computation of nearest neighbors
  • Computation of fi(x) (correct)
  • Preprocessing stage
  • Sorting of the points

    • Which metric corresponds to the case of orthogonal spanning trees as per the text?

  • L3
  • L1 (correct)
  • L∞
  • L2

    • What is considered to be O(k) computations in relation to the bichromatic nearest neighbor problem?

    <p>Computation of fi(x)</p> Signup and view all the answers

    What speedup does the improved solution for the L1 metric provide to the spanning tree algorithm?

    <p>A speedup</p> Signup and view all the answers

    How are red and blue points sorted according to the text?

    <p>By x (x0), then by y</p> Signup and view all the answers

    What is the time complexity for computing the nearest red point for each blue point according to Lemma 18?

    <p>$O((n + m) log log m)$</p> Signup and view all the answers

    What is computed for each blue point in the simplified version of the problem as per Lemma 18?

    <p>Nearest red point (x0, y0)</p> Signup and view all the answers

    Which part of the algorithm requires an O(n log n) time preprocessing stage?

    <p>$O(n log n)$ computations</p> Signup and view all the answers

    What is being sorted during the preprocessing stage?

    <p>Both red and blue points together</p> Signup and view all the answers

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