The search problem¶
Content summary
This lesson introduces the search problem.
Motivation¶
People need information constantly, yet the amount of data stored in systems is enormous.
How can we quickly find the exact piece of information we need in such a vast sea of data?
Problem definition¶
In general, the search problem involves finding one or more items that satisfy a given condition within a collection.
In this lesson, we focus on a specific version of the search problem:
- The data is stored in a one-dimensional array.
- We are looking for exactly one element with a given value k.
Formal problem statement
| Input | Output |
|---|---|
- A one-dimensional array A containing n integers.- A target value k to search for. |
- The index (position) of the element equal to k in array A or -1 if k is not found. |
Search algorithms¶
Some search algorithms
- Sequential search
- Binary search
Benefits and applications¶
Searching is a fundamental way of interacting with data and brings many important benefits. It helps discover relevant information, deepens understanding of the world from existing data, and supports better decision-making.
Common real-world applications of search algorithms include:
-
Searching for specific information
Words in a document, a phone number in a contact list, a file on a computer, or a book in a library.
-
Database queries
Customers searching for products, prices, or promotions on e-commerce platforms.
-
Information retrieval
Search engines helping users find relevant documents or websites on the internet.
-
Optimization problems
Finding the best solution among many possibilities — e.g., the shortest path or the cheapest option.
-
Data analysis
Identifying patterns, trends, or correlations in large datasets to gain insights and draw conclusions.
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Anomaly detection
Helping systems spot potential problems, trigger alerts, or take appropriate actions.
Summary mindmap¶
Some English words¶
| Vietnamese | Tiếng Anh |
|---|---|
| bài toán tìm kiếm | search problem |