Crushing Blow, Deadly Strike and Open Wounds
by: cauhtemoc
Crushing Blow
Crushing blow gives a chance of reducing your targets health by a certain amount
in a single blow. Quote from the Arreat Summit:
Originally Posted by The Arreat Summit
Default: 1/4th vs. Players: 1/10th vs.
Hirelings: 1/10th vs. Champions, Uniques, Bosses: 1/8th with missile
weapons, default: 1/8th with missile weapons, vs. Players: 1/20th with
missile weapons, vs Hirelings: 1/20th with missile weapons, vs Champions,
Uniques, Bosses: 1/16th 
As we can
see, in melee, it removes 25% of the monsters life, in addition to whatever
damage you do. This values changes if you're fighting at range, or against a
boss or unique monster. If the monster has 50% physical reduction, then only
half the damage is dealt, as with most things.
Say you do 0 damage, and
you have 100% chance of a crushing blow. The crushing blow is triggered on a
normal monster with 1'000 hit points, no physical reduce, and in a single player
game. Naturally, 250 hit points will be removed, and the monster will end up
with 750 hit points.
Crushing blow is triggered again, but this time,
only 187 hit points are removed (or 25% of the monsters remaining life),
and the monster will end up with 563 hit points.
Note that after 7 or 8
hits, the monsters life will be down at a fraction of the original value, and
you're hardly doing any damage at all. Hence you can never kill a monster with
only crushing blow! The diminishing returns will make this
impossible.
Now, to make everything more complicated, you cannot always
calculate the damage done by simply removing a certain amount of percents from
the targets remaining life. Monsters will have a higher life the more players
there are in a game, and players will have a higher life due to Battle Orders or
Oak Sage. This "extra life" is treated differently.
The exact amount of
extra life will vary, and we need to know this before we can determine exactly
how much damage we do.
In the case of monsters, the amount of extra life
is given by the following: Life = (Number of players + 1) / 2
In
the case of other players, the amount of extra life is given by the following:
Life = Increased life in percents / 100 + 1
With Battle Orders,
the percentage is given by the following: Increased life in percents = 32 +
Skill level * 3
With Oak Sage, the percentage is given by the
following: Increased life in percents = 25 + Skill level * 5
If
you are fighting someone with both Battle Orders and Oak Sage, you simply
add the two percentage values together.
As we can see, if we are fighting
a monster in a single player game, or fighting another player without Battle
Orders or Oak Sage, the amount of extra life will be 1.
Now we can
calculate how much damage we really do. This is given by: Real damage =
Crushing blow damage / Extra life
Now say we're fighting the same
monster as before but in an 8 player game. The monster now has 4.5 times as much
life, or 4'500 hit points.
So you hit it and trigger a crushing blow,
the first will removed a total of 250 hit points, or the crushing blow damage on
the monsters total life (4'500 in this case) divided by the increase in life
(4.5 times).
Hence, 25% out of 4'500 is 1'125, and 1'125 divided by 4.5
gives a total of 250 hit points removed, which leaves the monster with 4'250 hit
points.
You hit the monster again, but this time, only 236 damage is
dealt. Or 25% out of 4'250, which equals 1'062, and then 1'062 divided by 4.5,
which gives a total of 236 hit points removed, and the monster now has 4'014 hit
points remaining.
As noted, the actual crushing blow damage does not
decrease the more "extra life" the target has, but it does a lower percentage of
the targets total life. So while the percentage of crushing blow damage is
smaller, it's much more consistent. Hence, subsequent hits do more
damage.
For example, in melee, that's 1/4th in 1player games, 1/6th in
2player games, 1/8th in 3player games, all the way down to 1/18th in 8player
games.
So melee crushing blow in a 1player game multiplies the monster's
life by 3/4th each time you score a hit, hence, the multiplier is 5/6th in
2player games, 7/8th in 3player games, all the way down to 17/18th in 8player
games. Therefore, after the initial hit, crushing blow does more damage in
larger games.
Champions, unique monsters and their minions also have more
life than their normal counterparts, but these enchantments actually increase
the base life of the monster, so the crushing blow will be scaled and increased
when fighting these.
To save you the trouble of having to calculate all
of this, I have made a crushing blow calculator, which you can download further
down on this post. The calculator will output the crushing blow damage in
percents, it will calulate the targets exact life, and how much damage the
target will take from each hit.
Crushing blow items stack in all cases,
there is only one chance to trigger a crushing blow per hit. There is no cap on
how high the chance to trigger a crushing blow can get, but anything over 100%
is a waste.
Deadly Strike
Deadly
strike gives you the chance to do double damage. All melee damage is doubled,
whether its physical, magic or elemental (i.e. skills such as Berserk, Vengeance
or Fire Claws for example). Deadly Strike does not work with
Smite.
Deadly strike is the last thing that's applied to your damage,
meaning that all other damage modifiers are taken into account as
well.
Deadly Strike stack in all cases, there is only one chance to
trigger a deadly strike blow per hit. There is no cap on how high the chance to
trigger a deadly strike can get, but anything over 100% is a
waste.
Deadly strike and Critical Strike (passive Amazon skill, also
found on the runeword Insight), should not be mixed up. Although they work in
the same way, they stack with eachother (although in a rather unusual way), and
thus cannot trigger at the same time (i.e. resulting in quadruple damage). The
exact chance to do double damage is given by: Real chance to do double damage
= Critical Strike + (Deadly Strike / 100) * (100  Critical
Strike)
For example, with a 75% chance of deadly strike, and 25%
chance of Critical Strike, the real chance to do double damage is 81.25%. Or
0.75 (75 divided by 100) times 75 (100 minus 25) plus 25.
All of this can
also be found in the calculator attached at the end of this
post.
Open Wounds
Open wounds gives
a chance of making your target bleed uncontrollably. Open wounds work in a
similar way to poison, in that it makes the target slowly loose life. Unlike
poison however, there is no way to resist damage from open wounds.
Open
wounds stack in all cases, there is only one chance to trigger a open wounds per
hit. There is no cap on how high the chance to trigger a open wounds can get,
but anything over 100% is a waste.
Open wounds lasts for 8 seconds. The
counter is reset if you get hit with several open wounds in a short time frame,
you cannot have several open wounds active on you at the same time!
The
damage done depends on the level of the attacker. Damage per second is given by
the following:
Character Level 115: 25 * (9 * Character Level +
31) / 256 Character Level 1630: 25 * (18 * Character Level  104) /
256 Character Level 3145: 25 * (27 * Character Level  374) /
256 Character Level 4660: 25 * (36 * Character Level  779) /
256 Character Level 6199: 25 * (45 * Character Level  1319) / 256
To get the total damage just multiply this number with the duration
(i.e. 8 seconds).
For example, a character at level 90 would do 267
damage per second, for a total of 2136 damage.
The damage is divided by 4
if you are fighting another player in melee, and by 8 if you are fighting
another player using a missile weapon.
Versus bosses and champions the
damage is divided by 2.
All of this can also be found in the calculator
attached at the end of this post.
Crushing Blow,
Deadly Strike and Open Wounds calculator
Use this to
automatically calculate all of what I explained above. Download here. Feel free to scan this with every malware scanner known
to man (this one in
particular is very good).
Requires the .NET framework, or it will
generate some rather funky initialization errors. If you do not already have it,
you can get it of Microsoft's website (here).

