Here is a discussion of searching algorithms based on the provided source:
Searching algorithms are used to locate a specific piece of information within a larger set of data. There are many different searching algorithms, but two of the most common are linear search and binary search.
Linear Search
Linear search, also called sequential search, involves checking every element in a list until the desired element is found or the entire list is traversed. This approach is simple to implement but can be very inefficient for large datasets. The time complexity of a linear search is O(n), meaning the time it takes to perform a search grows linearly with the number of elements in the dataset.
Linear search is best used when the dataset is small or unsorted, as it doesn't require any specific ordering of the data.
Binary Search
Binary search is a much more efficient algorithm for searching a sorted dataset. This method works by repeatedly dividing the search interval in half, comparing the target value to the middle element, and then discarding the half that doesn't contain the target. This process continues until the target value is found or the search interval is empty.
The time complexity of a binary search is O(log n), making it significantly faster than a linear search for large datasets. This means the time it takes to search grows logarithmically with the number of elements, resulting in a much slower increase in search time as the dataset grows.
Binary search is a powerful tool for quickly finding information in a sorted dataset, but it does require the data to be sorted before the search can begin