Quote:
Blood bless.... tell me, what distinguishes extra strength from simple +damage bonus of Fire or Death ? Not only is the blood bless weaker, but also bland. In theory, some units can throw javelins further (sun warriors), and commanders could use Fire Bola better. But the difference would be pretty marginal, I think.
|
Fire and Death aren't a +damage. They're separate attacks, which means armor gets applied again (except that Death is AN,MR and fire is AP). Against a heavily-armored opponent (Prot 20 say), +4 to strength could increase your expected damage more than a separate 6AP fire attack. The following numbers are from a Monte Carlo sim, 2000 runs:
Str 12, Light Lance (3 dmg). Expected damage vs. Prot 20 0.548.
Str 16, Light Lance (3 dmg). Expected damage vs. Prot 20 1.8125.
Str 12, Light Lance (3 dmg) + 6 AP. Expected damage vs. Prot 20 1.322.
The fire bless is non-negligible but it's not as good as the Str +4, if we're not taking attack/defense into account. Expected damage over 2000 hits for the above-given Str 12, Light Lance fellow (Helhirdling):
Prot NoBless +4 Str Fire
1 13.95 18.05 20.18
2 12.84 17.08 18.70
3 11.88 16.19 17.57
4 11.18 15.29 15.93
5 10.26 14.04 14.95
6 9.12 12.74 13.56
7 8.31 11.87 12.14
8 7.37 11.05 10.35
9 6.33 10.18 9.92
10 5.55 9.34 8.19
11 4.90 8.40 7.40
12 4.06 7.23 6.33
13 3.32 6.58 5.42
14 2.73 5.48 4.31
15 2.15 4.72 3.83
16 1.74 3.96 3.00
17 1.27 3.38 2.59
18 0.98 2.75 2.01
19 0.73 2.21 1.60
20 0.46 1.66 1.36
For anything above Prot 8 or so, the fire attack is slightly inferior to the extra strength. To take the attack bonus into account, I simulated a couple of Helhirdlings (Str12,LightLance,Attack12) vs. a Wraith Lord (Def 15, Prot 22).
1 Helhirdling, no bless 0.0725
2 Helhirdlings, no bless 0.1895
1 Helhirdling, +4 str 0.1625
2 Helhirdlings, +4 str 0.6475
1 Helhirdling, F9 bless 0.4745
2 Helhirdlings, F9 bless 1.1065
1 Helhirdling, F4 bless and +4 str 0.392
2 Helhirdlings, F4 bless +4 str 0.971
Take these numbers with a grain of salt (I didn't do variance analysis or test for statistical significance), but it does seem clear that a fire bless's main advantage is indeed the synergy between the attack bonus and the damage bonus, and that against heavily-armored foes it's better to have high strength than an extra fire attack. This may suggest that Wraith Lords are best swarmed by Hoburg Militia under Strength of Giants, but don't try it--6 of them inflict only 0.308 damage per turn.
Python code attached.
-Max Wilson