Welcome back to a new lesson! We're diving into Binary Search, a clever technique for locating specific elements within a sorted list. We can find the targeted item by repeatedly dividing the search interval in half. It's akin to flipping through a dictionary — instead of going page by page, you'd start in the middle, then narrow down the section in half until you find your desired word.
Binary Search begins at the midpoint of a sorted list, halving the search area at each step until it locates the target. For example, if you're looking for the number 8
in a sorted list ranging from 1
to 10
, you would start at 5
. Since 8
is larger than the midpoint, you narrow the search to the second half of the list, leaving you with numbers 6
to 10
. In this new sublist, the middle number is 8
, and thus, you've found your target. This efficient approach significantly reduces the number of comparisons needed compared to a linear search.
