Gravity API Rate Limiting

Par 7

Question 21advancedSheet 1750822302

Deep Breath

A physics simulation treats gravity as a paid API service with usage quotas. Objects keep hitting rate limits and floating away when they exceed their gravitational budget. The system offers premium gravity subscriptions with faster fall speeds and bulk attraction discounts for massive objects. Your task: Implement physics-as-a-service while maintaining universal gravitational consistency.

Why You're Doing This

You're building a resource allocation system that applies API rate limiting to fundamental physics. This tests quota management, tiered service levels, and maintaining system consistency under artificial constraints. It's like building AWS but for the basic forces that hold reality together.

Take the W

✓ Implements gravity quotas and rate limiting
✓ Handles subscription tiers with different physics privileges
✓ Maintains gravitational consistency within quota limits

Hard L

✗ Allows unlimited gravity usage without quotas
✗ Breaks physics laws due to rate limiting
✗ Charges for gravity while objects float randomly

Edge Cases

⚠ Planetary mass object exceeding all available quotas across subscription tiers
⚠ Quantum objects requiring probabilistic gravity allocation
⚠ Orbital mechanics during subscription tier changes mid-trajectory

Input Format:

GravityRequest object with mass, coordinates, subscription_id

Expected Output:

GravityResponse with force_vector, quota_status, billing_info

Example:

{"mass": 100, "position": [0,0,100], "subscription": "premium"} → {"force": [0,0,-980], "quota_used": 150, "status": "allocated"}

Input Format:

m (kg), T (tier_multiplier), Q (quota_remaining)

Expected Output:

F_gravity (N), status_code, billing_increment

Example:

m=100, T=1.5, Q=900 → F=1470N, status=0, billing=150_units

Hints

💡 Subscription tiers affect gravity strength multipliers and priority queuing
💡 Rate limiting prevents physics simulation from becoming computationally infinite
💡 Emergency protocols override quotas for safety-critical gravitational needs

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