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Switch to Forum Live View DPR King Candidates 2.0
3 years ago  ::  Jul 15, 2010 - 7:20AM #711
DM_Ken
Date Joined: Aug 8, 2009
Posts: 189

Jul 15, 2010 -- 6:59AM, mellored wrote:


4d4(4[W] & 1d4) 75%
3|1
2|1
1|1
0|1
(6*4)+(4*3)=36  ; ~9 per die, for a 1d4, thats a great value.

[snip]

8d4(4[W] & 2d4)  75%
6|2
4|2
3|1
2|1
1|1
0|1
(16*4)+(8*3)=88 ;  ~11 per die, well this is much better than the 1d4 and every other die  size.


Something wrong here.  The average damage per d4 should be the same.



No, the reason the average damage isn't the same 'per d4' is because he is only showing the original number of dice; and the average damage achieved with the near infinite rerolls of d4b2/vorpal...

If you start with 4 d4, you'll statistically vorpal on 3 of them and get 3 on the 4th.... an average of 3.75 per die.

But then you figure that each of those that hit 4 get to reroll, and you now have 3d4; where you will statistically get one 3 and two 4's; now we have 5 4's and 2 3's, an average of 3.714 per die rolled - lower actually... but if you only count the initial 4 dice, it comes to an average of 6.5 per die... a higher average.

And so on, the 2 4's in the second roll trigger vorpal and you get 1 3 and 1 4; so now we have a grand total of 6 4's and 3 3's, across 9 dice. That comes to an average of 3.667 per each of the 9 dice; but counting only the original 4 d4's in the attack, it is an average of 8.25 per die.

The last vorpal reroll will result in a 3 25% of the time, and a 4 75% of the time, but for this tyoe of calculation it becomes a 3... so we now have 10 dice rolled, triggered from 4 dice initially; with 6 4's and 4 3's, a grand total of 36 points of damage, you are either looking at 3.60 per die (counting all 10), or 9 per die (counting only the original 4 triggering dice rolls)....


does that make sense?


If so, you can see that by starting with a higher number of dice, you get more iterations of vorpal rerolls, and so the average damage per die continues to increase or decrease...depending on if you are only considering the triggering set of dice, or each die actually rolled/rerolled.

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3 years ago  ::  Jul 15, 2010 - 7:26AM #712
DM_Ken
Date Joined: Aug 8, 2009
Posts: 189
To add to that calculation; using the barbarian daily mentioned above which provides two rerolls instead of 1 when the vorpal procs, you actuoally get the following iteration (assuming 4[w] at 2d4)

each reroll is roll twice, take the better; so the rate of failre drops to 0.25x0.25=0.0625

6|2
5|1
4|1
3|1
2|1
1|1
0|1

which grants 21 results of 4, and 8 results of 3; 108 total. If you go by the initial 8 dice used to begin this chain, that increases from ~11 to ~13.5 per die.
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3 years ago  ::  Jul 15, 2010 - 7:49AM #713
Genjin
Date Joined: Jul 8, 2010
Posts: 45
The reason the larger number of dice has a bigger average is because the method takes into account only whole dice and as DM_Ken pointed out, the average is based on the triggering set of dice, not the total number of dice rolled, else the average would be ~3.75 per die.

You dont have half a die IRL and you dont deal 3.5 damage. At smaller numbers you have greater inefficiency. You also have to draw the line somewhere when you calculate. I draw it at less than 1 die triggers vorpal, others may cut it off when the chance to roll a vorpal consecutively drops below 5% or when the damage added by a successful vorpal is less than the max damage for a given die.

I just realized: Is there even a weapon that deals 2d4 AND has Brutal 2?

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3 years ago  ::  Jul 15, 2010 - 12:22PM #714
ankiyavon
Date Joined: Dec 25, 2009
Posts: 3,507

Jul 15, 2010 -- 7:49AM, Genjin wrote:


I just realized: Is there even a weapon that deals 2d4 AND has Brutal 2?




No.  I know you can use Gauntlets of Destruction to get effectively brutal 1, and I think someone found a way to get brutal 2 onto a falchion at some point, but I don't remember how.

edit;

Also, rounding off at .5 (or whatever it is you're doing, when you say that you don't have half a die, etc) is a HUGE math error.  Sorry, you're trying to be realistic, but all it does is introduce an absolutely unacceptable amount of error into your calculations.  We know we don't have half a die IRL.  We don't roll average every time either.  The point is prediction over an infinite number of rolls, not predicting what the next roll will be.

The difference between madness and genius is determined only by degrees of success.
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3 years ago  ::  Jul 15, 2010 - 2:46PM #715
Genjin
Date Joined: Jul 8, 2010
Posts: 45
You know what, here. Its not finished but its what Im working with atm.

Spoiler: Show

====== Created Using Wizards of the Coast D&D Character Builder ======
Errak Bloodscale Copy, level 30
Human, Barbarian|Fighter, Kensei, Eternal Seeker
Seeking Destiny: Godlike Stature
Hybrid Talent: Fighter Combat Talent
Versatile Expertise: Versatile Expertise (Heavy Blade)
Versatile Expertise: Versatile Expertise (Polearm)
Fighter Combat Talent: Two-handed Weapon Talent (Hybrid)
Kensei Focus: Kensei Focus Talenta Sharrash

FINAL ABILITY SCORES
Str 26, Con 18, Dex 18, Int 12, Wis 16, Cha 12.

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


AC: 40 Fort: 42 Reflex: 36 Will: 35
HP: 207 Surges: 12 Surge Value: 51

TRAINED SKILLS
Intimidate +21, Athletics +28, Perception +23, Endurance +24, Stealth +24

UNTRAINED SKILLS
Acrobatics +19, Arcana +16, Bluff +16, Diplomacy +16, Dungeoneering +18, Heal +18, History +16, Insight +18, Nature +18, Religion +16, Streetwise +16, Thievery +19

FEATS
Human: Hybrid Talent
Level 1: Weapon Proficiency (Talenta Sharrash)
Level 2: Versatile Expertise
Level 4: Weapon Focus (Heavy Blade)
Level 6: Action Surge
Level 8: Wintertouched
Level 10: Two-Blade Warrior
Level 11: Lasting Frost
Level 12: Two-Weapon Fighting
Level 14: Two-Weapon Opening
Level 16: Armor Specialization (Hide) (retrained to Second Skin at Level 21)
Level 18: Agile Opportunist
Level 20: Adept Power
Level 21: Prime Hunter
Level 22: Primal Resurgence
Level 24: Slashing Storm
Level 26: Heavy Blade Mastery
Level 28: Triumphant Attack
Level 30: Rending Tempest

POWERS
Bonus At-Will Power: Tide of Iron
Hybrid at-will 1: Howling Strike
Hybrid at-will 1: Wicked Strike
Seeker's Lore: Giant's Might
Hybrid encounter 1: Punishing Charge
Hybrid daily 1: Rage Drake's Frenzy
Hybrid utility 2: Who's Next?
Hybrid encounter 3: Brutal Slam
Hybrid daily 5: Pinning Smash
Hybrid utility 6: Snarling Defiance
Hybrid encounter 7: Curtain of Steel
Hybrid daily 9: Murderous Assault
Hybrid utility 10: Enraged Surge
Hybrid encounter 13: Iron Breaker's Shout (replaces Brutal Slam)
Hybrid daily 15: Ancestral War Band Rage (replaces Rage Drake's Frenzy)
Hybrid utility 16: Spur the Cycle
Hybrid encounter 17: Revel in Pain (replaces Punishing Charge)
Hybrid daily 19: Winter Phoenix Rage (replaces Murderous Assault)
Hybrid utility 22: Unyielding
Hybrid encounter 23: Whirling Skirmish (replaces Revel in Pain)
Hybrid daily 25: Rage of the Unbridled Beast (retrained to Blade Cascade at Adept Power) (replaces Ancestral War Band Rage)
Hybrid encounter 27: Hurricane of Blades (replaces Iron Breaker's Shout)
Hybrid daily 29: Ancient Forebears' Rage (replaces Winter Phoenix Rage)

ITEMS
Vorpal Talenta Sharrash (Large) +6 (2), Hide Armor of Dark Deeds +6, Backlash Tattoo (heroic tier), Executioner's Bracers (epic tier), Assault Boots (paragon tier), Great Hero's Gauntlets (epic tier), Ring of Giants (paragon tier), War Ring (paragon tier), Cloak of Distortion +6, Circlet of Arkhosia (epic tier), Baldric of Valor (epic tier), Ring of Free Time (epic tier), Mummified Hand (epic tier)



Now I havent finished the total DPR calc so Ill just give a rough estimate, despite it being a HUGE math error. In fact, to paraphrase Legion "... it is not a math error, we simply reached a different conclusion."

Now for the quick and dirty for a 'Nova' round. I am currently trying to add sustainability to the build.

As preparation, use Rage of the Ancient Forbears', cast Giant's Might and use a frost whetstone on each weapon.

My attack is Attack: 8(Str) +15(Level/2) +3(Prof) +6(Enhance) +3(Ver. Exp) +1(Prime Hunter) +2(Giant's Might) +1(2-H Weapon Talent) +1(Kensei) +2(Giant's Might)=40 vs 44 AC

Open with Whirling Skirmish which is Strength vs AC. It deals 2[W] +Str, shifts you and then deals another 2[W] with the off-hand weapon plus an additional [W] from Rending Tempest. This also gives the enemy cold vulnerablity. Next pop your AP an gain +4 to hit from Action Surge(+3) and Baldric of Valor(+1) You also get CA  to add another +2 on there. You now have a whopping +46 to hit.

Now use Hurricane of Blades and attack 4 times using your off hand. Each attack deals 2[W]+Str +[W] from cascade. So far we've done 17[W] of damage, so thats... 34d4 in damage?

Damage Calc
Spoiler: Show


34d4 @ 75% chance
25|9
18|7
13|5
09|4
06|3
04|2
03|1
02|1
01|1
00|1
(81*4)+(34*3)=426, and that is without counting Str Mod, Criticals, Misc bonuses from Kensei/Frost Vulnerability/Giant's Might etc. Even if it is a Math Error, the potential here is pretty significant.
[/spolier]

Originally It was a Dragonborn, but the I changed it to a Half-elf to try and abuse Dual Stike+Practiced Dilettante (+2[W] per hit) for 4[W] more than the current build, then I noticed RotAF only affected Primal powers and so I scrapped it. If I have to say one thing though, this power will just about ANYTHING after popping an AP. Also as you will probably notice, he is not properly budgeted. Once I finalize his abilities, Ill scale back some of the more expensive Items. The Mummy Hand and Ring of Free time I threw in for quick referencing as I built him, but they can be dropped.

Gimme some time and Ill figure this all out properly.
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3 years ago  ::  Jul 15, 2010 - 8:04PM #716
borg285
Date Joined: Jan 23, 2008
Posts: 2,868

Jul 13, 2010 -- 1:22PM, Nox_Noctis wrote:

Jul 13, 2010 -- 1:18PM, mellored wrote:

Might want to start a new thread.




I second this as it's easier than trying to sort all of the existing Kings, removing the disqualified ones or waiting for a re-submittal of the modified build.



I feel that this format is good enough to handle the changes we've encountered.  I'm still swamped with work, but I'll be done and updating this on monday or so.  Thank you all for taking a tossed concept (vorpal + brutal and making a nova build out of it and exploring all the math behind it and showing what's possible, other than the infrequent and fleeting infinite damage combos.
I feel that enough of the build's authors frequent this thread and keep track of when their build goes into the nerfed bin.  Either they think they can salvage it, or they simply let it die and retire to nerfdome.  If you recall the "some handly links" for the 3.5 optimization, I loved that it had links to builds.  W/o those links many of them would have surely gone the way of a perma-archive.  My thread helps people look up old combos even if it relied on nerfed stuff.  Things may become un-nerfed. 

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 15, 2010 - 9:06PM #717
ankiyavon
Date Joined: Dec 25, 2009
Posts: 3,507

Jul 15, 2010 -- 2:46PM, Genjin wrote:


Now I havent finished the total DPR calc so Ill just give a rough estimate, despite it being a HUGE math error. In fact, to paraphrase Legion "... it is not a math error, we simply reached a different conclusion."




You can conclude that 3  = 2, but you'd be wrong.


I don't mean offense, I just take exception when people present approximations as exact.  Doing approximations is fine.  There's nothing wrong with it.  Just say that it's approximate

(Which you did do in your most recent post, so I have no quarrel with it.  Especially since I haven't bothered to do the math myself.)

The difference between madness and genius is determined only by degrees of success.
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3 years ago  ::  Jul 16, 2010 - 9:21AM #718
Dark_Lambo
Date Joined: Aug 22, 2005
Posts: 3,757
I have a question... how is multitarget DPR calculated?

For example, the Gensai Blaster Wizard build has a 25 square enemy-only at-will dealing 1d6-2+Str+Static (+Condition) at level 11. How does something like that compare?
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3 years ago  ::  Jul 16, 2010 - 9:29AM #719
borg285
Date Joined: Jan 23, 2008
Posts: 2,868

Jul 16, 2010 -- 9:21AM, Dark_Lambo wrote:

I have a question... how is multitarget DPR calculated?

For example, the Gensai Blaster Wizard build has a 25 square enemy-only at-will dealing 1d6-2+Str+Static (+Condition) at level 11. How does something like that compare?



For this thread I have asked that you calculate single target DPR and then show the area you're hitting.  46 DPR(3x3)  Area and single target are 2 very different numbers and I feel a conversion is unacceptable and highly biased.

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 16, 2010 - 9:52AM #720
SongNSilence
Date Joined: Jun 16, 2007
Posts: 1,274

Jul 16, 2010 -- 9:21AM, Dark_Lambo wrote:

I have a question... how is multitarget DPR calculated?

For example, the Gensai Blaster Wizard build has a 25 square enemy-only at-will dealing 1d6-2+Str+Static (+Condition) at level 11. How does something like that compare?




I also think we should establish some rule of thumb, like 2 enemies in a 3x3, 3 in a 5x5, 4 in a 7x7 etc ?  Btw, what's the current maximum for at-will blasting, 9x9 scorching burst or did someone find a 11x11 at-will by now ?

Jul 16, 2010 -- 9:29AM, borg285 wrote:


For this thread I have asked that you  calculate single target DPR and then show the area you're hitting.  46  DPR(3x3)  Area and single target are 2 very different numbers and I feel  a conversion is unacceptable and highly biased.




Hm, guess you are right . Also, party friendly vs. not party friendly might be an important consideration...



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