Divide and Conquer: Binary Search in JavaScript

Divide and Conquer: Binary Search in JavaScript

Divide and Conquer: Binary Search in JavaScript - In the beginning, you will most likely try to use a brute force method to solve search problems; this is because it is the easiest and most rudimentary way to find a target. However brute force has a time cost; The Big O notation of brute force is usually and unacceptably equal to or greater than bigO(n²).

In the beginning, you will most likely try to use a brute force method to solve search problems; this is because it is the easiest and most rudimentary way to find a target. However brute force has a time cost; The Big O notation of brute force is usually and unacceptably equal to or greater than bigO(n²).

If you can make something work with the brute force technique you will most likely need to refactor it later. We have talked about bubble sort in JavaScript in the past. I mentioned that bubble sort uses the brute force technique for sorting an array in that article. Sorting has a time cost but it is needed to use Binary Search which has a bigO(log n).

Generally, when implementing a search problem you are better off to search from a sorted list. You can think about looking at a random list of Apartments from a google search. Now think about looking at a google list of Apartments sorted by distance from you. Generally sorted lists are much more useful. Binary Search will not work for an unsorted list because it uses a sort of educated guess; you cannot make educated guesses on random and arbitrary lists.

The first step in Binary Search is to sort the list so we can make an educated guess about where the target is located. You can use the built-in JavaScript methods.

However, I will reinvent the wheel because we are learning algorithms in JavaScript. You won’t be a JavaScript master until you can master the fundamentals first. These are the atoms of our universe and it’s good to know how to they interact with other the atoms of JavaScript.

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Binary Search Algorithm in Javascript

In this article, we will talk about binary search algorithm in Javascript. For today’s algorithm, I picked the binary search which is one of the most commonly asked topics in technical interviews. The problem named binary search from LeetCode will be used to explain this concept:

Java Binary Search Program | Binary Search In Java Example

In the binary search, array elements must be in ascending order. If you have an unsorted array, you can sort the array using Arrays.sort(arr) method.

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Binary Search in JavaScript

Divide and conquer algorithm. A binary search is a searching algorithm for finding an item from a sorted list of items. It works by repeatedly dividing in half the portion of the list that could contain the item until you’ve narrowed down the possible locations to just one. As compared to linear, binary search is much faster with Time Complexity of O(logN) whereas the linear search algorithm works in O(N) time complexity. The implementation of binary search can be done iteratively or recursively.