Searching Algorithms: Summary
Explore the concepts of searching in data collections by learning how linear search works on any data type and why binary search offers faster performance on sorted data. Understand the trade-offs, efficiency, and decision criteria to choose the right search algorithm for your Java programs.
Having studied both search algorithms, the table below summarizes their key differences.
Feature | Linear Search | Binary Search |
Data requirement | Works on ordered or unordered collections | Requires sorted data in an indexed structure |
Time complexity | O(n) in the worst case | O(log n) in the worst case |
Space complexity | O(1) |
|
How it works | Checks elements one by one from start to end | Repeatedly divides the search space in half |
Best for | Small collections, unsorted data, single lookups | Large sorted collections, repeated lookups |
Implementation | Simpler often has a single loop | Slightly more complex, uses variables such as low, high, and mid |
Quick rule: If the data is unsorted or the collection is very small, Linear Search is usually enough. If the data is sorted and fast lookup matters, Binary Search is the better choice.
Visual comparison: How performance changes as input size grows
The chart below illustrates how the number of comparisons grows for each algorithm as the input size increases.