Endpoint documentation structure in Rest API - Time & Space Complexity

Time Complexity: Endpoint documentation structure

O(n)

Understanding Time Complexity

When we write documentation for API endpoints, we want to know how the effort to create or read it grows as the number of endpoints increases.

We ask: How does the time to handle documentation change when more endpoints are added?

Scenario Under Consideration

Analyze the time complexity of the following endpoint documentation structure.

GET /users
  Description: Get list of users
  Parameters:
    - page: integer
    - limit: integer

POST /users
  Description: Create a new user
  Body:
    - name: string
    - email: string

This snippet shows documentation for two API endpoints with their descriptions and parameters.

Identify Repeating Operations

Look for repeated parts in the documentation process.

• Primary operation: Writing or reading each endpoint's details (description, parameters, body)
• How many times: Once per endpoint, repeated for every endpoint in the API

How Execution Grows With Input

As the number of endpoints grows, the time to write or read documentation grows too.

Input Size (n)	Approx. Operations
10	10 sets of endpoint details
100	100 sets of endpoint details
1000	1000 sets of endpoint details

Pattern observation: The work grows directly with the number of endpoints; doubling endpoints doubles the work.

Final Time Complexity

Time Complexity: O(n)

This means the time to handle documentation grows in a straight line with the number of endpoints.

Common Mistake

[X] Wrong: "Adding more endpoints does not affect documentation time much because each is small."

[OK] Correct: Even small details add up, so more endpoints mean more total work.

Interview Connect

Understanding how documentation effort grows helps you plan and communicate clearly in real projects and interviews.

Self-Check

"What if each endpoint had multiple versions documented? How would the time complexity change?"