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Switch to Forum Live View DPR King Candidates 2.0
3 years ago  ::  Jul 20, 2010 - 12:04PM #741
borg285
Date Joined: Jan 23, 2008
Posts: 2,868

Jul 19, 2010 -- 11:47AM, Melos wrote:

Jul 19, 2010 -- 10:04AM, borg285 wrote:

is cold as hell still functional after the errata?
Are there any others that I missed.  So many didn't put a key to help me out.




cold as hell still works.


DPR affected by errata:

using a combination of two or more of the following: subtle weapon/iron armbands/symbol of divine light/bracers of the perfect shot, these are all item bonuses now.  Also, you have to be attacking with subtle weapon/symbol of divine light to get the bonus.

147.7(CA) DPR Monk/Morninglord/Radiant One (30th)
381 DPR Marilith Summoner(30th)
133 DPR(Ch,CA) Wendigo(Rogue Charger)(30th)
152.41 DPR Storminglord(24th)
77 DPR Striker of Pelor (16th)
67.87 DPR Cosmic Sorcerer MC Paladin/Morninglord(16th)


using two free action attacks on a crit (Two-Weapon Opening, Ardent Fury)  also has symbol of divine light + iron armbands:
~140 DPR Human (Pursuit) Avenger/Ardent Champion/Sage of Ages(30th)


novas:

using too many free action attack powers:
1700 Ranger/Pit Fighter/Demigod(30th), by LordDuskBlade(6;@)

doesnt work anymore, Threatening Strike effect was changed to an OA:
? average damage Hand of the Raven Queen(30th)

using symbol of divine light + staff of ruin. 
195.80 avg. dam.(7x7) Wizard Nova(20th)



Thank you so much.

DPR King Candidates 3.0
How much damage should I shoot for? Show

You're fired          : 1 Kills Per 5 Rounds = .2 KPR
Fair Striker          : 2 Kills Per 5 Rounds = .4 KPR
Highly Optimized : 3 Kills Per 5 Rounds = .6 KPR
Nerfbat please     : 4 Kills Per 5 Rounds = .8 KPR
It's OVER 9000!!!!!: 5 Kills Per 5 Rounds = 1+ KPR

DPR?  KPR?  KP4R?  Bless you Show

DPR = Damage Per round ~= Chance to hit * damage on a hit
KPR = Kills Per Round.  1 Kill = 8*Level+24 damage
       = DPR/(8*level+24)
KPNR = Kills Per N Rounds.  How many standards can you kill in N rounds?
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3 years ago  ::  Jul 20, 2010 - 12:06PM #742
Melos
Date Joined: Nov 7, 2005
Posts: 1,444

Jul 20, 2010 -- 11:11AM, Styrx wrote:

Apr 4, 2010 -- 12:55PM, Styrx wrote:


Submission: King of Lvl 16
Setup: Have Kensei Focus for the Quarterstaff. Get Longtooth Shifting with Bloodfury Handaxe. Hit to get +17 damage with Power of the Sun (and Symbol of Divine Light) and Pelor's Sun Blessing, and to get +5 damage with Lasting Frost and CA with Wintertouched. Have enough Frozen Whetstones.
Attack: Sun Strike vs Oath of Enmity with Distant Vengeance and Frost Quarterstaff

Striker of Pelor Lvl 16 revised. Pit Fighter replaced with Kensei PP.




The Symbol of Divine Light was changed to be an item bonus to damage that you get when attacking with it.  You would not get its bonus when attacking with the quarterstaff.

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3 years ago  ::  Jul 20, 2010 - 12:48PM #743
Auspex7
Date Joined: Mar 31, 2008
Posts: 2,498
Been a little lazy, but I've basically had this one done since a half hour after I saw the July Errata. As a general rule, I try to respond to errata by finding something better (Avenger/SoC/Sage dies, Avenger/Ardent Champion/Sage of Ages is born... that one dies... this happens...). So, here it is:

Slap Chop, Githzerai Avenger/Ardent Champion/Demigod, pimped out for max At-Will DPR.

L30 CB Summary Show
====== Created Using Wizards of the Coast D&D Character Builder ======
SlapChop, level 30
Githzerai, Avenger, Ardent Champion, Demigod
Avenger's Censure: Censure of Pursuit
Versatile Expertise: Versatile Expertise (Heavy Blade)
Versatile Expertise: Versatile Expertise (Holy Symbol)
Divine Spark: Divine Spark Dexterity
Divine Spark: Divine Spark Wisdom

FINAL ABILITY SCORES
Str 16, Con 15, Dex 26, Int 12, Wis 28, Cha 10.

STARTING ABILITY SCORES
Str 14, Con 13, Dex 14, Int 10, Wis 16, Cha 8.


AC: 46 Fort: 36 Reflex: 41 Will: 42
HP: 203 Surges: 9 Surge Value: 50

TRAINED SKILLS
Religion +22, Athletics +28, Perception +30, Stealth +29

UNTRAINED SKILLS
Acrobatics +25, Arcana +16, Bluff +15, Diplomacy +15, Dungeoneering +24, Endurance +17, Heal +24, History +16, Insight +24, Intimidate +15, Nature +24, Streetwise +15, Thievery +23

FEATS
Level 1: Githzerai Blade Master
Level 2: Unarmored Agility
Level 4: Versatile Expertise
Level 6: Power of Skill
Level 8: Battle Awareness
Level 10: Power of Strength
Level 11: Painful Oath
Level 12: Deadly Draw
Level 14: Paragon Defenses
Level 16: Power Attack
Level 18: Devastating Critical
Level 20: Pervasive Light
Level 21: Hand of Divine Guidance
Level 22: Slashing Storm
Level 24: Font of Radiance
Level 26: Punishing Radiance
Level 28: Triumphant Attack
Level 30: Enmity Shared

POWERS
Avenger at-will 1: Overwhelming Strike
Avenger at-will 1: Avenging Shackles
Avenger encounter 1: Angelic Alacrity
Avenger daily 1: Aspect of Might
Avenger utility 2: Distracting Flare
Avenger encounter 3: Fury's Advance
Avenger daily 5: Bond of Foresight
Avenger utility 6: Aspect of Agility
Avenger encounter 7: Relentless Stride
Avenger daily 9: Temple of Shadow
Avenger utility 10: Wings of Vengeance
Avenger encounter 13: Avenger's Demand (replaces Angelic Alacrity)
Avenger daily 15: Aspect of Fury (replaces Temple of Shadow)
Avenger utility 16: Astral Cloak
Avenger encounter 17: Vengeful Parry (replaces Avenger's Demand)
Avenger daily 19: Oath of the Inevitable Blade (replaces Aspect of Might)
Avenger utility 22: Twin Step
Avenger daily 25: Aspect of Death (replaces Bond of Foresight)
Avenger daily 29: Final Oath (replaces Aspect of Fury)

ITEMS
Siberys Shard of Radiance (epic tier), Bloodiron Fullblade +6, Flowform Starweave Armor +6, Timeless Locket +6, Iron Armbands of Power (epic tier), Many-Fingered Gloves (paragon tier), Ring of Giants (paragon tier) (2), Ring of the Radiant Storm (paragon tier), Crown of the Brilliant Sun (paragon tier), Spark Slippers (paragon tier), Symbol of Victory +2
====== Copy to Clipboard and Press the Import Button on the Summary Tab ======



Important Information Show
633686494015134310-slapchop.jpg

YOU'RE STILL GONNA LOVE MY NUTS!!!


Attack & Damage Breakdown Show

Go-To At-Will: Overwhelming Strike
Base: +36 vs AC, 2d12+29
Actual: +36 vs AC, 2d12+55, from a cold start.

Attack Breakdown:
+9, Wis
+15, 1/2 Level
+3, Proficiency
+6, Enhancement
+3, Expertise/feat bonus

Total base: +36

+2, Combat Advantage-- applicable on first attack via Enmity Shared, sustained via Deadly Draw.
-2, Power Attack

Total actual: +36

Damage Breakdown:
+9, Wis
+6, item-Iron Armbands of Power
+6, Enhancement
+4, Power of Strength
+4, Githzerai Blademaster

Total Base: +29

+5, Siberys Shard of Radiance
+3, set bonus, Gifts for the Queen set-- 3 pieces: Ring of the Radiant Storm, Crown, Slippers.
+9, Wis- Painful Oath
+9, Power Attack

Total Actual: +55


Extra damage considerations Show

On-Crit:
-- Target gains vuln: 10 Radiant UENT (factored here as +10 damage UENT)
-- Target gains -2 to all defenses and -2 to hit (Factored here as +2 to hit)
-- Font of Radiance + Punishing Radiance = 3d6 (save ends) +10 UENT. Factored here as: 3d6+10, assuming the target always saves on first attempt. Note: actual average from this is higher.
-- Bloodiron carry-over
-- 2 x Ring of Giants =+24 damage

-- 1/turn Overwhelming Strike, via Ardent Fury + Power of Skill. +38 vs AC, 2d12+44
Attack & Damage Breakdown Show

Attack:
+9, Wis
+15, 1/2 Level
+3, Proficiency
+3, Expertise
+6, Enchantment
+2, Combat Advantage
+2, Triumphant Attack
-2, Power Attack

Damage:
+9, Wis
+9, Power Attack
+4, Githzerai Blademaster
+6, item- Iron Armbands of Power
+6, Enchantment
+10, vuln: Radiant + Pervasive Light



Slashing Storm: +9 damage, applied 89.3% of the time (as per hit %)
-- Alternative: The target shifts, teleports, or moves away. If this happens, the Avenger charges, and gains +14 damage UENT from Censure of Pursuit. The charge is made at: +37 vs AC, 2d12+65 damage.


At-Will DPR: 141.18*, assuming the target remains adjacent.
-- Alternative/assuming target moves away to avoid Slashing Storm: 144.41.
Note: Actual At-Will DPR is higher than listed. These numbers do not include Ring of the Radiant Storm calcs, do not carry over Punishing Radiance to subsequent turns, they assume that Font of Radiance is saved against on the first attempt, etc. If I had to guess, I would assume that the actual DPR is above 150. RotRS alone should bump it up by about 3 points, I think.
*Edited to add... Note: Factoring in the Ring of the Radiant Storm (but none of the other elements I left on the table), the DPR for this comes out to.... 144

In conclusion... Show


Don't fight him, or this happens...
b1.jpg





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3 years ago  ::  Jul 20, 2010 - 12:54PM #744
borg285
Date Joined: Jan 23, 2008
Posts: 2,868
Hope you don't mind but I added the keys of Bloodiron and dragon material. 
DPR King Candidates 3.0
How much damage should I shoot for? Show

You're fired          : 1 Kills Per 5 Rounds = .2 KPR
Fair Striker          : 2 Kills Per 5 Rounds = .4 KPR
Highly Optimized : 3 Kills Per 5 Rounds = .6 KPR
Nerfbat please     : 4 Kills Per 5 Rounds = .8 KPR
It's OVER 9000!!!!!: 5 Kills Per 5 Rounds = 1+ KPR

DPR?  KPR?  KP4R?  Bless you Show

DPR = Damage Per round ~= Chance to hit * damage on a hit
KPR = Kills Per Round.  1 Kill = 8*Level+24 damage
       = DPR/(8*level+24)
KPNR = Kills Per N Rounds.  How many standards can you kill in N rounds?
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3 years ago  ::  Jul 20, 2010 - 1:00PM #745
Auspex7
Date Joined: Mar 31, 2008
Posts: 2,498

Jul 20, 2010 -- 12:54PM, borg285 wrote:

Hope you don't mind but I added the keys of Bloodiron and dragon material. 




I don't mind at all. Makes sense to note those elements.

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3 years ago  ::  Jul 20, 2010 - 1:05PM #746
AlphatheGreat
Date Joined: Mar 22, 2008
Posts: 1,547

Jul 19, 2010 -- 5:24PM, tl wrote:

snip



So given that the Ring of the Radiant Storm is an optional reroll, I redid my work with only one damage reroll.

The simplified explanation of what's happening:
1. Roll [W].
2. Turn 1s and 2s into 4s.
3. Roll [W] again, convert to 4s again.
4. Take the better result, in this case the highest number also corresponds to the most 4s(6,7,8 are the only possible results).  Thank heaven.
5. Explode 4s.
6. Turn explode 1s,2s into 4s.
7. Roll explode dice twice, take the better result.

The calculation is as follows:
1.  There are 3 possible states: 6(2 threes), 7(1 three, 1 four), 8(2 fours).
2.  Multiply the probability of each state by the expected result of each state.
3.  Sum the states for the expected damage

Calculation 1 Show


p(#3s,#4s)=x/256

p(2,0)=1/256


p(1,1)=48/256


p(0,2)=207/256
Expected damage for a three is just 3.

Expected Damage for a Four:


4+(1/16)*3+(15/16)(4+(1/16)*3+(15/16)*(4+…=


(67/16)+(15/16)((67/16)+(15/16)((67/16)+…=


(67/16)+(15/16)(67/16)+(15/16)(15/16)(67/16)+…=


(67/16)(1+(15/16)+(15/16)^2+…)=


(67/16)(sum((15/16)^n))=


(67/16)*(1/(1/16))=


(67/16)*(16)=67


 p(2,0)*(3+3)+p(1,1)*(3+67)+p(0,2)*(67+67)=
 (1/256)*6+(48/256)*70+(207/256)*(134)=121.5
Expected damage per die: 60.75


I am confident in these results, though they took some irritating handwork to come up with the right probabilities for each state.

Compare that to your calculation, adjusted for rolling twice instead of three times on the first roll:
Calculation 2 Show


(1/16)*3+(15/16)*(4+?...


3/16+(15/16)*(4+3/16+(15/16)*(4+…


3/16+(15/16)*(67/16+(15/16)*(67/16+…


3/16+(15/16)*(67/16(1+15/16+(15/16)^2+…


3/16+(15/16)*(67/16*16)


3/16+67*(15/16)=63 per die


63*2=126 damage total


Your estimates are overstating the contribution of each die, though obviously not by much.

The issue as I see it is that rolling damage twice isn't rolling each die separately, it's rolling the entire bundle twice.  If you roll 1[W] you are rolling 2 d4s and then rolling them both again, but you can't pick the better d4 from the 1st and put it with the better d4 from the second.
Likewise, when you roll 2[W] you are rolling 4 d4s and then rolling them all again...but you have to keep the first pool together with the second pool.

On a similar strain, suppose the Ring of the Radiant Storm reroll DOES include vorpal's added dice.

It's a mistake to say that you roll your base damage, then reroll your vorpal dice as you get them.  Rather, you roll your dice, roll all exploding dice until you get no more max results, and then do the whole process over again.

In this case, suppose that you roll 1[W], and get
3,4.
Then you roll
4
4
3.
Your result is 3+4+4+4+3=18
Now you reroll with the ring, and get
3,4
4
4
4
3
Your result is 3+4+4+4+4+3=22
That's an 4-point result, but there was a 15/16 chance that the second roll would be larger than the first.

In fact, due to the nature of the rerolling probabilities, you will almost always find that one of your two rolls is noticably higher than the other.  On any given vorpal roll, you only have a 1/16 chance of failing to get another, so the point at which any given attempt "drops out" will vary greatly.
I don't really know how to calculate the expected value of that, but it's going to be far less than the several thousand you were predicting. 

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3 years ago  ::  Jul 20, 2010 - 4:17PM #747
Landsknecht73
Date Joined: Apr 4, 2006
Posts: 123

Jul 20, 2010 -- 12:04PM, borg285 wrote:

Jul 19, 2010 -- 11:47AM, Melos wrote:

Jul 19, 2010 -- 10:04AM, borg285 wrote:

is cold as hell still functional after the errata?
Are there any others that I missed.  So many didn't put a key to help me out.




cold as hell still works.


DPR affected by errata:

using a combination of two or more of the following: subtle weapon/iron armbands/symbol of divine light/bracers of the perfect shot, these are all item bonuses now.  Also, you have to be attacking with subtle weapon/symbol of divine light to get the bonus.

147.7(CA) DPR Monk/Morninglord/Radiant One (30th)
381 DPR Marilith Summoner(30th)
133 DPR(Ch,CA) Wendigo(Rogue Charger)(30th)
152.41 DPR Storminglord(24th)
77 DPR Striker of Pelor (16th)
67.87 DPR Cosmic Sorcerer MC Paladin/Morninglord(16th)


using two free action attacks on a crit (Two-Weapon Opening, Ardent Fury)  also has symbol of divine light + iron armbands:
~140 DPR Human (Pursuit) Avenger/Ardent Champion/Sage of Ages(30th)


novas:

using too many free action attack powers:
1700 Ranger/Pit Fighter/Demigod(30th), by LordDuskBlade(6;@)

doesnt work anymore, Threatening Strike effect was changed to an OA:
? average damage Hand of the Raven Queen(30th)

using symbol of divine light + staff of ruin. 
195.80 avg. dam.(7x7) Wizard Nova(20th)



Thank you so much.





I think IronSky's Wizard|warlock(Hellfire  Rebuke) and Wizard|warlock(Scorching  Burst) is out now due to the change to Hellfire of Mephistopheles (although with a few mods the damage can almost be the same)

Let the righteous smite me; it shall be a kindness: and let him reprove me; it shall be an excellent oil, which shall not break my head: for yet my prayer also shall be in their calamities. Psalm 141:5

Let the Righteous smite me...Infernal Warlock Build

Red Sun Legionnaire...Paladin/Warlock Hybrid Build
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3 years ago  ::  Jul 20, 2010 - 6:32PM #748
IronSky
Date Joined: May 30, 2010
Posts: 57

I think IronSky's Wizard|warlock(Hellfire   Rebuke) and Wizard|warlock(Scorching   Burst) is out now due to the change to Hellfire of  Mephistopheles (although with a few mods the damage can almost be the  same)




I'm all ears on how to do that.  I'll see if I can touch it up this weekend.

My fantasy novel: Continent in the Clouds
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3 years ago  ::  Jul 20, 2010 - 7:14PM #749
tl
Date Joined: Nov 25, 2006
Posts: 270

Jul 20, 2010 -- 1:05PM, AlphatheGreat wrote:

snip


first, I have to say it's been a while since I agreed with somebody's non-trivial post so completely. the explanation, the explanation on the issue of rerolling (I can see what I screwed up, now), and even the strain about Ring including Vorpal explosions. very well written.

perhaps I indicated this unclearly, but the thousands I came up with were a deliberate misinterpretation of the item for the sake of super high number. allowing rerolls to be... dedicated, for the lack of a better term, would be totally broken.

the only part I'm having doubts about is your number 4 (again); I believe that in picking the higher damage for Radiant Storm we have to include all the exploded dice. and I, too, have no idea how to calculate that... perhaps with an approximation, say, we take the average for dice in Nth generation and above for a relatively small N (=6?) and take the bigger from there... what do you think?

EDIT: upon rereading Vorpal, I checked PHB for a "weapon's damage die". per explanation on p.219, this is 1[W], or what is listed in the table. Vorpal Falchion would therefor explode only 8s on 2d4, and not each d4 separately.

@genjin: what are you trying to say? that Free Soul does not interact with Vorpal? 'cause Vorpal forces you to roll additional damage die, later calling this a reroll, therefor forcing you to reroll. although you are not rerolling any roll per se... I think you might be right...

EDIT2: I think I got it. way to brain dead to explain, but I think it's correct. P(m) is probability for exactly m dice to explode in generation 0.
1.png
why is the picture so small?

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3 years ago  ::  Jul 21, 2010 - 4:41AM #750
Nelphine
Date Joined: May 30, 2005
Posts: 864
The Marilith Summoner has been updated to remove the offending subtle blade.  The new DPR is 354.
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