Beginner Topic 1 of 51 Algorithms
Algorithm Basics
Finite step-by-step procedures solving a well-defined problem.
How it works
An algorithm is a finite, unambiguous sequence of steps that transforms input into output and terminates. It is judged by correctness, meaning it produces the right answer for every valid input, and by efficiency, meaning how its time and memory use scale as inputs grow. Designing one usually starts with precisely stating the problem, then choosing a strategy such as brute force, divide and conquer, greedy or dynamic programming.
Step-by-step walkthrough
- An algorithm takes a well-defined input.
- It follows precise unambiguous steps.
- Each step is simple enough to execute mechanically.
- It must finish after a finite number of steps.
- The output must be correct for every valid input, and we judge it by time and memory use.
Where it is used
Recipes for sorting, searching, routing, compression, encryption, scheduling and recommendation are all algorithms. Everyday software, from a map application to a spreadsheet recalculation, is built by combining them.
Common pitfall
Confusing an algorithm with its code: the idea should be correct independent of the language. Skipping edge cases such as empty input, duplicates or very large values causes failures. Always argue correctness, for example with invariants, and measure performance on realistic data.
Where it fits in the course
Algorithm Basics is topic 1 of 51 in Algorithms, rated Beginner. It is the first topic in this area. The next topic is Pseudocode.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Algorithms quiz.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Algorithms quiz, and revisit the topic if you miss a question.
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Related topics
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