> For the complete documentation index, see [llms.txt](https://docs.hoppersgame.io/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.hoppersgame.io/about/whitepaper.md).

# Whitepaper

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| Adventure Level | Minimum Hopper Level Required |
| :-------------: | :---------------------------: |
|        1        |               1               |
|        2        |               10              |
|        3        |               15              |
|        4        |               20              |

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|        Cost Function        | Level               |
| :-------------------------: | ------------------- |
|       $$\frac{x}{2}$$       | $$2 \leq x \lt 21$$ |
| $$\frac{x^{1.43522}}{7.5}$$ | $$21 \leq x$$       |

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| Rarity Level | Total FLY Allocation |
| :----------: | :------------------: |
|    Common    |          50          |
|     Rare     |          84          |
|  Exceptional |          166         |
|     Epic     |          416         |
|   Legendary  |         2500         |

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