Requester pays configuration in GCP - Time & Space Complexity

Time Complexity: Requester pays configuration

O(n)

Understanding Time Complexity

When using Requester Pays in cloud storage, we want to know how the number of operations changes as we access more data.

We ask: How does enabling Requester Pays affect the number of API calls when accessing multiple objects?

Scenario Under Consideration

Analyze the time complexity of accessing multiple objects with Requester Pays enabled.

from google.cloud import storage

client = storage.Client()
bucket = client.bucket('my-bucket')
bucket.requester_pays = True
bucket.patch()

for object_name in object_list:
    blob = bucket.blob(object_name)
    data = blob.download_as_bytes(user_project='your-project-id')
    

This code accesses many objects from a bucket where Requester Pays is turned on, charging the requester for each access.

Identify Repeating Operations

Look at what repeats as we access multiple objects.

• Primary operation: Downloading each object with a separate API call.
• How many times: Once per object in the list.

How Execution Grows With Input

Each object requires a separate download call, so the total calls grow as we add more objects.

Input Size (n)	Approx. Api Calls/Operations
10	10 download calls
100	100 download calls
1000	1000 download calls

Pattern observation: The number of API calls grows directly with the number of objects accessed.

Final Time Complexity

Time Complexity: O(n)

This means the time and number of API calls increase linearly as you access more objects.

Common Mistake

[X] Wrong: "Enabling Requester Pays reduces the number of API calls needed."

[OK] Correct: Requester Pays only changes who pays the cost, not how many calls are made. Each object still requires its own download call.

Interview Connect

Understanding how API calls scale with data access helps you design efficient cloud solutions and explain cost impacts clearly.

Self-Check

"What if we batch multiple objects into a single request? How would the time complexity change?"