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What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size n?
  • a)
    θ(n)
  • b)
    θ(√n)
  • c)
    θ(log2(n))
  • d)
    θ(n2)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the worst-case number of arithmetic operations performed by re...
The worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size n is O(log n).
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Community Answer
What is the worst-case number of arithmetic operations performed by re...
The correct answer is option 3:
Key Points
  • Binary search has the Worst-case and avg case time complexity O(log2n) and best case O(1) in an array. So, it is can also be written as θ(log2n) and θ (1).
  • No of arithmetic operations will be θ (logn) in the worst case as every comparison needs 2 operations + and / by 2.
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