**Champions**can be hired to automatically attack Teemo for you. There are 3 types of champions; Attack Damage [AD], Ability Power [AP], and Hybrid (AP/AD). A

*will become stronger from items based on their type. They can also be leveled to increase the amount of damage they do and unlock personal upgrades at higher levels. They have a base cost which increases exponentially and base gold per second [GpS] which increases linearly.*

**champion**## The Math Behind ThemEdit

### CostEdit

The cost of the champion increases exponentially using the following formula:

$ Cost = base * 1.2^{current.level} $

For example, Ryze has a base cost of 10 gold. His cost at level 20 would be:

$ Cost = 10 * 1.2^{20} = 10 * 38.37 = 383.7 gold $

### Gold Per SecondEdit

The GpS a champion provides increases linearly using the following formula:

$ GpS = base * current.level $

For example, Ryze has a base GpS of 0.1. His GpS at level 20 would be (assuming his upgrade was not purchased and no items):

$ GpS = 0.1 * 20 = 2 GpS $

Although a simple calculation and not much of an increase in GpS, buying items can buff champions significantly and their respective upgrades double their GpS.

### AD/AP ScalingsEdit

Champions scale with either AD, AP or both to increase their gold generation:

**AD**champions gain**1% increased GpS for every 50 AD**.**AP**champions gain**1% increased GpS for every 33.3 AP**.**Hybrid**champions have both of the above scalings, and gain**1% increased GPS for every 50 AD**plus**1% increased GpS for every 33.3 AP**.

## Champion ListEdit

Champion | Icon | Type | Base Cost (gold) | Base GpS | Upgrade | Upgrade Cost |
---|---|---|---|---|---|---|

Ryze | AP | 10 | 0.1 | Faceroll-proof Keyboard | 1,000 | |

Darius | AD | 75 | 0.5 | The Axe Effect | 7,500 | |

Rumble | AP | 450 | 3 | Heat Monitoring System Upgrade | 45,000 | |

Riven | AD | 2,718 | 15 | Blade Warranty | 270,000 | |

Syndra | AP | 19,999 | 100 | Juggling Lessons | 1,999,999 | |

Jax | Hybrid | 100,000 | 250 | A Real Weapon | 10,000,000 | |

Mordekaiser | AP | 666,666 | 1,000 | Metallica Ticket | 66,666,666 | |

Lee Sin | AD | 5 Million | 10,000 | Leesyndrome Cure | 500 Million | |

Kassadin | AP | 150 Million | 100,000 | Champion Select Ban Removal | 15 Billion | |

Zed | AD | 7 Billion | 1.5 Million | Deluminator | 700 Billion | |

Heimerdinger | AP | 133.7 Billion | 15 Million | Dong-raising Technology | 13.37 Trillion | |

Draven | AD | 10 Trillion | 555.5 Million | Another Draven's Axes | 1 Quadrillion | |

Akali | Hybrid | 7 Quadrillion | π * 1 Billion | Hextech Gunblabe Stacking | 700 Quadrillion |

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