Keyset pagination for performance in Rest API - Time & Space Complexity

Time Complexity: Keyset pagination for performance

O(1)

Understanding Time Complexity

When fetching data in pages, how fast the system responds matters a lot. We want to understand how the time to get each page changes as the data grows.

How does using keyset pagination affect the speed compared to other methods?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

GET /items?limit=10&after=12345

// Server query example:
SELECT * FROM items
WHERE id > 12345
ORDER BY id ASC
LIMIT 10;
    

This code fetches the next 10 items after a given ID using keyset pagination.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Database scans starting from a specific key (id > 12345).
• How many times: The database reads only the next 10 rows after the key, no scanning of previous rows.

How Execution Grows With Input

As the total number of items grows, the query still reads only the next 10 items after the last seen ID.

Input Size (n)	Approx. Operations
10	Reads about 10 rows
100	Reads about 10 rows
1000	Reads about 10 rows

Pattern observation: The number of operations stays roughly the same regardless of total data size.

Final Time Complexity

Time Complexity: O(1)

This means the time to fetch a page stays constant no matter how big the data grows.

Common Mistake

[X] Wrong: "Fetching page 100 will take 100 times longer than page 1 because it has to skip all previous items."

[OK] Correct: Keyset pagination uses a key to jump directly to the right spot, so it does not scan or skip all previous items.

Interview Connect

Understanding how keyset pagination keeps queries fast helps you design APIs that scale well. This skill shows you can think about performance as data grows.

Self-Check

"What if we changed the query to use offset-based pagination instead of keyset? How would the time complexity change?"

Practice

1. What is the main advantage of using keyset pagination over traditional offset-based pagination in REST APIs?

easy

A. It requires less server memory by caching all pages in advance.

B. It allows jumping to any page number directly without sequential access.

C. It improves performance by avoiding slow offset queries on large datasets.

D. It automatically sorts data in descending order without extra code.

Solution

1. Step 1: Understand offset-based pagination issues

   Offset pagination uses a page number and offset, which becomes slow on large datasets because the database must skip many rows.

2. Step 2: Recognize keyset pagination benefits

   Keyset pagination uses a fixed key (like an ID) to fetch the next set of rows, avoiding the costly skip operation and improving performance.

3. Final Answer:

   It improves performance by avoiding slow offset queries on large datasets. -> Option C

4. Quick Check:

   Keyset pagination = better performance [OK]

Hint: Keyset uses keys, not offsets, for faster queries [OK]

Common Mistakes:

• Thinking keyset allows random page jumps
• Assuming keyset caches all data
• Believing keyset changes sort order automatically

2. Which of the following is the correct SQL snippet to implement keyset pagination for a table users ordered by id?

easy

A. SELECT * FROM users ORDER BY id LIMIT 10 OFFSET 20;

B. SELECT * FROM users WHERE id > 20 ORDER BY id LIMIT 10;

C. SELECT * FROM users WHERE id = 20 ORDER BY id LIMIT 10;

D. SELECT * FROM users ORDER BY id DESC LIMIT 10 OFFSET 20;

Solution

1. Step 1: Identify keyset pagination syntax

   Keyset pagination uses a WHERE clause with a key (like id > last_seen_id) and a LIMIT to fetch the next page.

2. Step 2: Analyze each option

   SELECT * FROM users WHERE id > 20 ORDER BY id LIMIT 10; uses WHERE id > 20 with ORDER BY id LIMIT 10, which matches keyset pagination logic.

3. Final Answer:

   SELECT * FROM users WHERE id > 20 ORDER BY id LIMIT 10; -> Option B

4. Quick Check:

   Keyset uses WHERE key > last_key [OK]

Hint: Keyset uses WHERE with key comparison, not OFFSET [OK]

Common Mistakes:

• Using OFFSET instead of WHERE for pagination
• Using equality (=) instead of greater than (>)
• Not ordering results by the key column

3. Given this REST API endpoint using keyset pagination:

GET /items?last_id=50&limit=5

And the database table items with IDs: [45, 47, 50, 52, 55, 60, 65], what will be the IDs returned by this request?

medium

A. [52, 55, 60, 65]

B. [45, 47, 50, 52, 55]

C. [52, 55, 60, 65, 70]

D. [51, 52, 53, 54, 55]

Solution

1. Step 1: Understand keyset pagination with last_id=50

   The API returns items with IDs greater than 50, limited to 5 results.

2. Step 2: Select IDs greater than 50 from the list

   IDs greater than 50 are [52, 55, 60, 65]. There are only 4 such items, so all are returned.

3. Final Answer:

   [52, 55, 60, 65] -> Option A

4. Quick Check:

   IDs > 50 limited to 5 = [52, 55, 60, 65] [OK]

Hint: Return items with ID > last_id, up to limit [OK]

Common Mistakes:

• Including items with ID equal to last_id
• Using offset instead of key comparison
• Assuming IDs are continuous numbers

4. You have this SQL query for keyset pagination:

SELECT * FROM orders WHERE order_date > '2024-01-01' ORDER BY order_date LIMIT 10;

But it returns duplicate rows when new orders are added. What is the likely cause?

medium

A. Ordering by a non-unique column causing duplicates

B. LIMIT value is too high causing repeats

C. Missing OFFSET clause to skip duplicates

D. Using > instead of >= in WHERE clause

Solution

1. Step 1: Identify ordering column uniqueness

   Ordering by order_date alone can cause duplicates if multiple rows share the same date.

2. Step 2: Understand keyset pagination requirements

   Keyset pagination requires ordering by a unique column or combination to avoid duplicates and missing rows.

3. Final Answer:

   Ordering by a non-unique column causing duplicates -> Option A

4. Quick Check:

   Order by unique key to avoid duplicates [OK]

Hint: Order by unique keys to prevent duplicates [OK]

Common Mistakes:

• Thinking OFFSET fixes duplicates
• Using >= instead of > causes duplicates
• Assuming LIMIT controls duplicates

5. You want to implement keyset pagination on a REST API that returns products sorted by price ascending, then by id ascending to break ties.
Which SQL WHERE clause correctly fetches the next page after last product with price=100 and id=50?

hard

A. WHERE price > 100 OR id > 50

B. WHERE price >= 100 AND id > 50

C. WHERE price > 100 AND id > 50

D. WHERE price > 100 OR (price = 100 AND id > 50)

Solution

1. Step 1: Understand multi-column keyset pagination

   When ordering by multiple columns, the WHERE clause must handle the first column and then the second to break ties.

2. Step 2: Analyze the correct condition

   The correct condition is price > 100 OR (price = 100 AND id > 50) to get all rows with higher price or same price but higher id.

3. Final Answer:

   WHERE price > 100 OR (price = 100 AND id > 50) -> Option D

4. Quick Check:

   Multi-column keyset uses OR + AND for tie-break [OK]

Hint: Use OR with AND to handle multi-column keys [OK]

Common Mistakes:

• Using AND instead of OR for first column
• Ignoring tie-break column in WHERE clause
• Using >= instead of > causing duplicates