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--- Auto-Generated Description --- This diagram models the hero rarity and probability changes in *Dota Underlords* as player level increases from 1 to 8, simulating the game's mechanics on hero distribution. Through a series of sources, pools, gates, drains, and registers, it encapsulates the transitioning probabilities of encountering heroes of different rarities at each player level, and how these changes influence the overall availability of heroes in the tavern pool. The diagram dynamically simulates these transitions, leveraging deterministic gates to distribute heroes based on current probabilities, influenced by player level, and adjusting hero availability in the tavern. Registers perform calculations to adjust probabilities and availabilities based on player level and hero type, showcasing how the game's underlying mechanics might influence strategy and hero selection over the course of a game. Through the thoughtful interplay of its components, the diagram provides an abstract yet detailed representation of hero drafting mechanics in *Dota Underlords*, highlighting the importance of level progression and strategic planning for optimizing hero composition.