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What is the time complexity of binary search?
Practice Questions
Q1
What is the time complexity of binary search?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of binary search?
Steps
Concepts
Step 1: Understand that binary search is used to find an item in a sorted list.
Step 2: Start with the entire list as your search interval.
Step 3: Check the middle item of the list.
Step 4: If the middle item is the one you're looking for, you're done.
Step 5: If the middle item is greater than the target, narrow your search to the left half of the list.
Step 6: If the middle item is less than the target, narrow your search to the right half of the list.
Step 7: Repeat steps 3 to 6 until you find the item or the interval is empty.
Step 8: Each time you narrow the search, you cut the number of items to check in half.
Step 9: This halving process leads to a logarithmic time complexity, which is expressed as O(log n).
No concepts available.
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