Graph Theory37 sections · 1633 units
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Quiz: Time and Space Tradeoffs

Knowledge check

Check Your Understanding

A binary lifting table for nn nodes uses O(nlog⁡n)O(n \log n) space and answers queries in O(log⁡n)O(\log n). If you stored every ancestor directly, what would the space and query time be?

  1. A.O(n)O(n) space, O(n)O(n) query time
  2. B.O(n2)O(n^2) space, O(1)O(1) query time
  3. C.O(nlog⁡n)O(n \log n) space, O(1)O(1) query time
  4. D.O(n)O(n) space, O(1)O(1) query time
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