Bear Trap Damage Mechanics and Example Simulation

Overview

A lot of players wonder how Bear Battles work, so I made this post to explain the mechanics and help you deal more damage

• Bear is made up of 5000 special infantry troops with 10 Defense and 83.33 Health each
• Bear Battles last 10 turns, unlike normal battles that go until all troops on one side are dead
• Since Bear is infantry, Archers deal 10% extra damage because of the "Ranged Strike" skill
• The +25% damage bonus from upgrading Bear Trap level actually adds +25% Attack to the stats of all troop types

1) Base troop stats (T6, TG0)

The known base stats of used troops

• Infantry T6: Attack 243, Lethality 10, Health 730, Defense 10
• Cavalry T6: Attack 730, Lethality 10, Health 243, Defense 10
• Archer T6: Attack 974, Lethality 10, Health 183, Defense 10
• infantry_bear stats: Defense 10, Health 83.3333
• Bear has 5000 infantry_bear

2) Apply Bear Level bonus (+25% attack)

Bear level 5 gives +5% attack per level, so +25% attack total. Per‑troop attack formula (no heroes so SkillMod stays constant)

3) Army size factor (same every round)

army = sqrt(remaining ut × army min) Attacker total = 18,000; bear total = 5,000 → army min = 5,000. So for each unit type (6000 troops): army = sqrt(6000 × 5000) = 5477.2256

• So for each unit type (6000 troops): army = sqrt(6000 × 5000) = 5477.2256

4) Base damage per unit type (round 0)

Using bear defense = 8.33333: Infantry: 5477.2256 × 30.375 / 8.33333 / 100 = 199.645 Cavalry: 5477.2256 × 91.25 / 8.33333 / 100 = 599.756 Archer: 5477.2256 × 121.75 / 8.33333 / 100 = 800.223 Then apply +10% to Archer only (Ranged Strike vs infantry): Archer...

5) Total 10 round damage

The game's final bear score uses ceiling of total damage: Final Expected Damage (for players)