What is the primary advantage of binary search over linear search?

Practice Questions

Q1
What is the primary advantage of binary search over linear search?
  1. It is easier to implement
  2. It works on unsorted arrays
  3. It has a better time complexity
  4. It requires less memory

Questions & Step-by-Step Solutions

What is the primary advantage of binary search over linear search?
  • Step 1: Understand what linear search is. It checks each item one by one until it finds the target or reaches the end.
  • Step 2: Know that linear search has a time complexity of O(n), meaning if there are n items, it may check all n items in the worst case.
  • Step 3: Understand what binary search is. It only works on sorted lists and divides the list in half to find the target quickly.
  • Step 4: Know that binary search has a time complexity of O(log n), meaning it reduces the number of items to check significantly with each step.
  • Step 5: Compare the two: O(log n) is much faster than O(n) for large lists, making binary search more efficient.
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