Forums → Games → Gemcraft CS: killing with the grade of

Hi,

i was thinking what grade a killing gem needs to have to beat endurance without shrines.
lets do some math
for an yellow black we have

----------------------- skip this part if you dont like math
dmg=base_dmg*critical_hit*black*skill_talisman_mods
critical_hit=0.8*base_critical*black
black=hit_lvl*black_base

when we upgrade this gem once we get:
dmg=base_dmg*1,58*critical_hit*black*skill_talisman_mods
critical_hit=0.8*base_critical*1,38*black
black=hit_lvl*black_base*1,09

so we get for the dmg:
dmg=base_dmg*1,58*0.8*base_critical*1,38*hit_lvl*black_base*1,09*hit_lvl*black_base*1,09*skill_talisman_mods
=base_dmg*1,58*0.8*base_critical*1,38*(hit_lvl*black_base*1,09)^2*skill_talisman_mods
=2,59*base_dmg*0.8*base_critical*(hit_lvl*black_base)^2*skill_talisman_mods

so black is squared and we get *2,59 per upgrade. so for lvl n we have now:
(not correct because lvl 7 are a lot better then lvl 6.)

dmg(n)=2,59^n*base_dmg*0.8*base_critical*(hit_lvl*black_base)^2*skill_talisman_mods


so when we want to kill an monster with on hit 10^m hp we need:
10^m=2,59^n*base_dmg*0.8*base_critical*(hit_lvl*black_base)^2*skill_talisman_mods
->
m*log(10)=n*log(2,59)+2*log(hit_lv)+2*log(black_base)+log(base_dmg*0.8*base_critical*skill_talisman_mods)

since log(base_dmg*0.8*base_critical*skill_talisman_mods)+2*log(black_base) is very smal we can just drop that. log is base 10.
so we have

m=n*log(2,59)+2*log(hit_lvl)
->
n=(m-2*log(hit_lvl))/log(2,59)

n=(m-2*log(hit_lvl))/0,413
-----------------------

n=2,42*(m-2*log(hit_lvl))

so to kill a monster with 10^99 hp with one hit hit we need a black/yellow gem with
n= 2,42*(99-2*log(hit_lvl))

with a hit lvl of 100 we need a gem of grade:
n=2,42*(99-4)=230 .....


so... endurance is not beatable without shrines.. makes me sad :/
since hit rate is caped it wont help much...