What is the average time complexity of searching for an element in a sorted arra
Practice Questions
Q1
What is the average time complexity of searching for an element in a sorted array using binary search?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the average time complexity of searching for an element in a sorted array using binary search?
Step 1: Understand that binary search is a method used to find an element in a sorted array.
Step 2: Know that binary search works by repeatedly dividing the array in half.
Step 3: Each time you divide the array, you eliminate half of the elements from consideration.
Step 4: This process continues until you either find the element or there are no more elements to check.
Step 5: The number of times you can divide the array in half is related to the logarithm of the number of elements in the array.
Step 6: Therefore, the average time complexity of searching for an element using binary search is O(log n), where n is the number of elements in the array.
