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Hashing question: Given alpha asking for the expected no of probes.
Consider the average time complexity in an unsuccessful search for open-addressing hashing with linear probing. If \( \alpha \) represents the load factor, which expression accurately represents the average time complexity?

  1. \( \frac{1}{1 + \alpha} \)
  2. \( \ln\left(\frac{1}{1 + \alpha}\right) \)
  3. \( 1 + \alpha \)
  4. \(1 + \frac{ \alpha}{2} \)
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