When searching through a list, you might wonder why we sometimes prefer binary search over the simpler linear search. Here's a quick breakdown with a real-world example:
π Linear Search:
How it works: Checks each element one by one.
Best use case: When the data is unsorted or small.
Time complexity: O(n) β as the list grows, the search time increases proportionally.
β‘ Binary Search:
How it works: Efficiently narrows down the search by repeatedly dividing the list in half.
Best use case: When the data is sorted.
Time complexity: O(log n) β even with large datasets, the search time grows slowly.
π‘Example: Imagine you have an array with 2 million elements.
Linear Search: In the worst case, you might have to check every element, making it take up to 2 million steps.
Binary Search: Since binary search splits the list in half each time, it would only take about 21 steps (logβ(2,000,000) β 21) to find the element, even in the worst case!
Happy coding! β¨
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