> For the complete documentation index, see [llms.txt](https://battle-docs.polychainmonsters.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://battle-docs.polychainmonsters.com/battle/damage-calculation.md).

# 📊 Damage Calculation

The battle arena is a realm of precision, where every move is defined by a meticulous calculation:

* **Final Damage** is the culmination of various factors:
  * **Base Damage** is determined by subtracting the defender's Defense from the attacker's Attack, plus a fixed value.
  * **Elemental Effectiveness** takes into account the effectiveness of the attack elements.
  * **Critical Modifier** applies a bonus for critical hits.
* **Base Damage** = (Attacker’s Attack - Defender’s Defense) + Fixed Value
* **Elemental Effectiveness** = (Attack Element I Effectiveness + Attack Element II Effectiveness) / 2
* **Critical Hit Modifier** = 1.5 (Critical Hit) or 1.0 (Regular Hit)

🧮 **Damage Calculation Examples:**

**Example I:**

* Attacker: The Bruiser (40 Health | 10 Speed | 30 Attack | 20 Defense)
  * Element: Fire (🔥)
  * Attack: Fire + Fire (🔥+🔥)
* Defender: The Fortress 🐘 (30 Health | 10 Speed | 10 Attack | 50 Defense)
  * Element: Nature 🍃

Calculations:

* Base Damage = (30 - 50 + 50) = -20 + 50 = 30
* Elemental Effectiveness = (2 + 2) / 2 = 2
* Critical Hit Modifier = 1
* Final Damage = 30 × 2 × 1 = 60

**Example II:**

* Attacker: The Bruiser (40 Health | 10 Speed | 30 Attack | 20 Defense)
  * Element: Fire (🔥)
  * Attack: Fire + Electric (🔥+⚡)
* Defender: The Fortress 🏰 (30 Health | 10 Speed | 10 Attack | 50 Defense)
  * Element: Nature 🍃

Calculations:

* Base Damage = (30 - 50 + 50) = -20 + 50 = 30
* Elemental Effectiveness = (2 + 0.5) / 2 = 1.25
* Critical Hit Modifier = 1
* Final Damage = 30 × 1.25 × 1 = 37.5


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