feat: Instant Results for Rank Prediction service

[vee1e]

Feature Description

Currently the rank prediction service requires you to click the "Predict Rank" button to get your possible rank and list of possible branches by sending a single request to the API. If we add an option to the backend to include a streaming WebSocket option along with the REST API, we can implement this on the frontend.

Use Case

Helps users instantly find the results, and have instant feedback on slight changes in the inputs instead of having to click a button for everything.

Additional Context

A few questions: What's the backend currently hosted on? Will adding a streaming API like this increase costs and surface area for attackers/DDOSers?

[aaditagrawal]

The arithmetic is actually just client side so shouldn't affect any kind of real time updates for user inputs.

However, I think it might severely affect the analytics endpoint as it registers submissions which are both a network query call and compute time usage at the server side which racks up Vercel billing, especially for the free tier.

[aaditagrawal]

Would be interesting to hear what @PixelHalide thinks, as I think it comes down to an administrative decision.