The Problem: Fair Token Distribution

In our system, users are rewarded with a fixed amount of tokens every 24 hours. The challenge is ensuring that both large, active groups and smaller, less active groups have a fair chance of receiving rewards. Without careful calculation, highly active groups could monopolize rewards, while smaller groups might struggle to earn anything despite contributing meaningful content.

Key Issues:

  1. Message Volume Disparity: Larger groups tend to produce more messages, potentially leading to their dominance in token distribution, irrespective of message quality.

  2. User Base Size: While groups with more users might have higher engagement, it’s crucial that smaller groups still have a fair chance to earn rewards based on the quality of their contributions.

  3. Reward Balance: The system should ensure that high-quality content from smaller groups and high activity from larger groups are

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