The Math Behind ThemEdit
The cost of the champion increases exponentially using the following formula:
For example, Ryze has a base cost of 10 gold. His cost at level 20 would be:
Gold Per SecondEdit
The GpS a champion provides increases linearly using the following formula:
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):
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.
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||Icon||Type||Base Cost (gold)||Base GpS||Upgrade||Upgrade Cost|
|Darius||AD||75||0.5||The Axe Effect||7,500|
|Rumble||AP||450||3||Heat Monitoring System Upgrade||45,000|
|Jax||Hybrid||100,000||250||A Real Weapon||10,000,000|
|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|