example 1:
- damage reduction from 1 arrow to 5 on covered hurtboxes.
-34 damage on uncovered hurtboxes (let's pretend there are no variations due to damage location for simplicity).
- 80% hurtboxes coverage and no shield.
20 archers, 20 infantry with pike and sword weapons.
The infantrymen are at 100m and move with a speed of 5 m / s towards the archers and will reach them in 20 seconds, the archers shoot their forest of arrows with a frequency of 1 forest every 5 seconds, so in total 4 forests of arrows, then 80 arrows in 20 seconds.
The number of arrows that will hit OPEN POINTS is:
80 * (1-0.
= 16
therefore 16 infantry will suffer 34 damage.
Furthermore, let's assume that a part of the remaining arrows (64) hits the infantry and the others fail.
40 remaining arrows hit and therefore each soldier is hit by 2 arrows in HURTBOXES COVERED suffering:
5 * 2 = 10 damage.
So we will have in total, at the end of the 20 seconds and before the melee combat:
infantrymen:
16 soldiers with: 100-34-10 = 56 hp
4 soldiers with: 100-10 hp = 90 hp
We can interpret these numbers by saying that:
20 soldiers arrive, of which 16 with 56 hp and 4 with 90 hp, or:
12 or 13 infantrymen arrive, given that compared to the maximum hp of the entire unit, only about 60% survive.
All this always taking into account that:
1) we have not considered that the odds of hitting increase at close range, since as we have said, it becomes a matter of "aim".
2) we have not considered that an infantryman can be hit several times, in uncovered points. This could have killed some soldiers.
3) no one gets hit in the head
example 2:
With less covered units (75%) or with poor protection (for example a protection that reduces the damage from 34 to 25 or 20), the number of infantry deaths would be:
arrows hitting: 80 * (1-0.75) = 20 so 1 per soldier.
of the remaining 60, 40 hit in "protected" points, therefore 2 arrows for each infantryman.
=> 20 infantry remain with: 100-34-20 * 2 = 24 hp
24/100 corresponds to about 25%, so it means that either this infantry arrives with 24 hp on average, or that of 20 only 5 remain.
example 3 (full armor or very high protection):
- 95% coverage and 1 damage taken in covered hurtboxes
-34 damage taken in uncovered hurtboxes
20 archers and 20 infantry without shields.
arrows on covered hurboxes: (1-0.95) * 80 = 4
of the 76 remaining arrows, 16 miss and 60 hit covered hurtboxes, each soldier being hit by 2 of these.
out of 20 infantry:
4 infantrymen arrive at the goal with: 100-34-2 = 64 hp
16 infantrymen reach the goal with: 98 hp
example 4 (chainmail and gambeson)
-100% covered hurtboxes and damage reduction vs piercing from 34 to 27.
-34 damage on uncovered hurtboxes
no arrow hits hurtboxes uncovered.
of 80 arrows 60 hit the soldiers, so 3 arrows for each of them:
Hp remaining at the end of the run: 100-27 * 3 = 19
So either they all arrive with 19 HP, or only 4 soldiers arrive at the goal.
Excluding headshots and assuming the arrow deals 34 damage on a face-up hurtboxes.
