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Explain Two Sum Complexity

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Your question is Explain Two Sum Complexity. Take a moment with it on the right.

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Problem

Explain the time complexity of solving Two Sum on an unsorted array using both a brute-force nested-loop approach and a hash-table approach. Justify why the optimized solution is linear on average.

What to Cover

  • Why the brute-force approach is O(n^2)
  • Why the hash-table approach is O(n) on average
  • What space complexity each approach uses
  • When worst-case hash-table behavior matters