Summary
Some important point of Data structure notes summary
- Course
- Institution
providing deep summary on Some important point of Data structure notes. Thank you for visiting.
[Show more]
Seller
Follow
dwidenb956
Content preview
here are the notes on "Data Structures and Algorithms: Linear vs Binary Search" in Markdownformat:
Importance of Best, Worst, and Average-case Analysis
When analyzing algorithms, it is essential to consider their best, worst, and average-case time
complexities to understand their efficiency and performance.
Linear Search vs Binary Search
Linear Search: An algorithm that searches for a specific value in an array by iterating through
it sequentially until the desired value is found.
Binary Search: A search algorithm that operates on a sorted array, repeatedly dividing it in
half until it finds the target value or determines it's not in the array.
Unique Features of Sorted Arrays for Binary Search
Binary search is possible only on sorted arrays, where the elements are in ascending or descending
order. The sorted array enables binary search to divide the array into two halves recursively, reducing
the search space by half in each iteration.
Importance of Array Sorting in Binary Search
Sorting the array before performing binary search is crucial because binary search assumes that the
array is already sorted. An unsorted array will result in incorrect search results, and the algorithm
efficiency will significantly deteriorate.
Time Complexity of Linear and Binary Search
Linear Search: The worst-case time complexity is O(n) because it has to iterate through the
entire array.
Binary Search: The worst-case time complexity is O(log n) because it reduces the search
space by half in each iteration.
Understanding Binary Search Algorithm - Code Example
Here's an example of the binary search algorithm in Python:
def binary_search(array, target):
left = 0
right = len(array) - 1
while left <= right:
mid = (left + right) // 2
mid_value = array[mid]
if mid_value == target:
return mid
elif mid_value < target:
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller dwidenb956. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75759 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now