> For the complete documentation index, see [llms.txt](https://docs.walken.io/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.walken.io/pvp-duels/formula.md).
# Formula
To **calculate the winner** of a duel, the following formula is applied:
**(V\******Kv+F\******Kf+S\*Ks)\******10000+Steps\******2**
**V** is the Speed stat
**Kv** is the Speed coefficient.
**F** is the Strength
**Kf** is the Strength coefficient.
**S** is the Stamina
**Ks** is the Stamina coefficient.
Depending on the discipline, the **coefficients** are as follows:
| Discipline / Coefficient | Sprint | Urban Run | Marathon |
|---|
| Speed coefficient | 1 | 0.5 | 0.25 |
| Strength coefficient | 0.5 | 1 | 0.25 |
| Stamina coefficient | 0.25 | 0.5 | 1 |
---
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