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Average additive and multiplicative buff percentages of builders

So i decided to calculate the average additive and multiplicative buff percentage for builders in a fight!

I didn't calculate abuse or aggression because best case scenario and they will proc at your consumers, meaning they wont affect your builders (which this is about). Worst case scenario and you buff your builders doesn't matter since you'll do a lot less overall dps anyways since your consumers didn't get buffed.
I also didn't account for equilibrium, since you want that on your consumers, and not your builders.
It also doesn't matter if the buffs are cast after 3, 4 or 5 builders, since you will still get the same amount of builders in the buffs.

I assumed you would never glance. And since theres a 40% chance to pen i just assume twist the knife will proc every third hit for the beginning.

Since it's very common to use a channeled ability at elemental force I wrote "Consumer 3" three times because they have a 2.5 sec cast time.

Lethality, Twist The Knife, Minor Weapon Signets, Do or Die, Short Fuse

Additive buffs used right before consumers to get the most out of them.

sec             let    ttk    min    do   sho
builder        1      3      6  0 0
builder        2      3      6 0 0
builder        3      3      6 0 0
builder        4      6      6 0 0
builder        5      6      6 0 0
buffs
Consumer 1
Consumer 2
Consumer 3
Consumer 3
Consumer 3
builder        10      9      6      20      20
builder        10      9      6      20      20
builder        10      9      6      20      20
builder        10      9      6 0 0
rest of fight 10      9      6 0 0

72 sec fight

How many builders
9,5*7 + 4 = 60
5*7 + 4 = 39

Lethality
(10*34 + 5 + 4 + 3 + 2 + 1) / 39 = 355 / 39 = 9,1026

Twist the Knife
(9*34 + 6*2 + 3*3) / 39 = 327 / 39 = 8,3846

Minor Weapon Signets
(6*39) / 39 = 234 / 39 = 6

Do or Die
(25*3) / 39 = 75 / 39 = 1,9231

Short Fuse
(20*3) / 39 = 60 / 39 = 1,5385

Combined
9.1026 + 8,3846 + 6 + 1,9231 + 1,5385 = 20,9487%

28,5 sec fight (3 rotations)

How many builders
9,5*3 = 24
5*3 = 15

Lethality
(10*10 + 5 + 4 + 3 + 2 + 1) / 15 = 115 / 15 = 7,6667

Twist the Knife
(9*10 + 6*2 + 3*3) / 15 = 111 / 15 = 7,4

Minor Weapon Signets
(6*15) / 15 = 90 / 15 = 6

Do or Die
(25*3) / 15 = 75 / 15 = 5

Short Fuse
(20*3) / 15 = 60 / 15 = 4

Combined
7,6667 + 7,4 + 6 + 5 + 4 = 30,0667%

11,5 sec fight (assuming you start every rotation with builders)

How many rotations
9,5 + 2 = 10

How many builders
5 + 2 = 7

Lethality
(10*2 + 5 + 4 + 3 + 2 + 1) / 7 = 35 / 7 = 5

Twist the Knife
(9*2 + 6*2 + 3*3) / 7 = 39 / 7 = 5,5714

Minor Weapon Signets
(6*7) / 7 = 42 / 7 = 6

Do or Die
(25*2) / 7 = 50 / 7 = 7,1429

Short Fuse
(20*2) / 7 = 40 / 7 = 5.7143

Combined
5 + 5,5714 + 6 + 5.7143 + 5.7143 = 29,4286%

Average multiplicative buffs for builders
Exposed, crits and pens.

DABS used after 3 builders to proc equilibrium, laceration and coney island band for the consumers. I won't take these buffs into this equation because hopefully they land on the consumers and not the builders.

Crit damage:    77.25%
Pen damage:    74%

sec        exp    DA    BS
Builder        6 no no
Builder        8 no no
Builder        10 no no
Buffs
Builder        12    yes    yes
Builder        14    yes    yes
Consumer 1
Consumer 2
Consumer 3
Consumer 3
Consumer 3
Builder        20    yes    yes
Builder        20    yes no
Builder        20    yes no
Rest of fight    20 no no

DA + BS:
Crit chance: 45%
Pen chance: 80%
Critpens: 0,45*0,8 = 0,36 = 36%
Crits: 45 - 36 = 9%
Pens: 80 - 36 = 44%
Critpens: 36%
Only exposed: 100 - 9 - 44 - 36 = 11%

DA:
Crit chance: 45%
Pen chance: 40%
Critpens: 0,45*0,4 = 0,18 = 18%
Crits: 45 - 18 = 27%
Pens: 40 - 18 = 12%
Critpens: 18%
Only exposed: 100 - 27 - 12 - 18 = 43%

Rest of fight:
Crit chance: 5%
Pen chance: 40%
Critpens: 0,05*0,4 = 0,02 = 2%
Crits: 5 - 2 = 3%
Pens: 40 - 2 = 38%
Critpens: 2%
Only exposed: 100 - 3 - 38 - 2 = 57%

1st builder:
3 exposed
((1,7725*1,06 - 1)*0,03) + ((1,74*1,06 - 1)*0,38) + ((1,7725*1,74*1,06 - 1)*0,02) + (0,06*0,57) =
0,0264 + 0,3209 + 0,0454 + 0,0342 = 0,4269
42,69%

2nd builder:
4 exposed
((1,7725*1,08 - 1)*0,03) + ((1,74*1,08 - 1)*0,38) + ((1,7725*1,74*1,08 - 1)*0,02) + (0,08*0,57) =
0,0274 + 0,3341 + 0,0466 + 0,0456 = 0,4537
45,37%

3rd builder:
5 exposed
((1,7725*1,1 - 1)*0,03) + ((1,74*1,1 - 1)*0,38) + ((1,7725*1,74*1,1 - 1)*0,02) + (0,1*0,57) =
0,0285 + 0,3473 + 0,0479 + 0,057 = 0,4807
48,07%

4th builder:
6 exposed, DA, BS
((1,7725*1,12 - 1)*0,09) + ((1,74*1,12 - 1)*0,44) + ((1,7725*1,74*1,12 - 1)*0,36) + (0,12*0,11) =
0,0887 +  0,4175 + 0,8835 + 0,0132 = 1,4029
140,29%

5th builder:
7 exposed, DA, BS
((1,7725*1,14 - 1)*0,09) + ((1,74*1,14 - 1)*0,44) + ((1,7725*1,74*1,14 - 1)*0,36) + (0,14*0,11) =
0,0919 + 0,4328 + 0,9057 + 0,0154 = 1,4458
144,58%

6th builder:
10 exposed, DA, BS
((1,7725*1,2 - 1)*0,09) + ((1,74*1,2 - 1)*0,44) + ((1,7725*1,74*1,2 - 1)*0,36) + (0,2*0,11) =
0,1014 + 0,4787 + 0,9723 + 0,022 = 1,5744
157,44%

7th + 8th builder:
10 exposed, DA
((1,7725*1,2 - 1)*0,27) + ((1,74*1,2 - 1)*0,12) + ((1,7725*1,74*1,2 - 1)*0,18) + (0,2*0,43) =
0,3043 + 0,1306 + 0,4862 + 0,086 = 1,0071
100,71%

The rest of the fight:
10 exposed
((1,7725*1,2 - 1)*0,03) + ((1,74*1,2 - 1)*0,38) + ((1,7725*1,74*1,2 - 1)*0,02) + (0,2*0,57) =
0,0338 + 0,4134 + 0,0540 + 0,114 = 0,6152
61,52%

72 sec fight:
39 builders
(0,4269 + 0,4537 + 0,4807 + 1,4029 + 1,4458 + 1,5744 + 1,0071*2 + 0,6152*31) / 39 = 26,8698 / 39 = 0,6870
68,70%

28,5 sec fight (3 rotations):
15 builders
(0,4269 + 0,4537 + 0,4807 + 1,4029 + 1,4458 + 1,5744 + 1,0071*2 + 0,6152*7) / 15 = 12,105 / 15 = 0,807
80,7%

11,5 sec fight (starting with builders):
7 builders
(0,4269 + 0,4537 + 0,4807 + 1,4029 + 1,4458 + 1,5744 + 1,0071) / 7 = 6,7915 / 7 = 0,9702
97,02%

Results:

72 sec fight:
Multiplicative: 68,70%

28,5 sec fight:
Multiplicative: 80,7%

11,5 sec fight:
Multiplicative: 97,02%

Edited by Vikestart

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So when i was lying in bed yesterday trying to fall asleep, i realised something. I did every rotation as 8 seconds, instead of 9,5... dancing blade have a 2,5 sec cast time, not 1 sec >.<

So the 60 sec fight is actually 72 seconds, and the 24 sec fight is 28,5, the 10 sec fight is 11,5 sec.

And to count the amount of rotations it should be 9,5 + 4 for the 72 sec fight, and 9,5 + 2 for the 11,5 sec fight.

Derp -.-

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So when i was lying in bed yesterday trying to fall asleep, i realised something. I did every rotation as 8 seconds, instead of 9,5... dancing blade have a 2,5 sec cast time, not 1 sec >.<

So the 60 sec fight is actually 72 seconds, and the 24 sec fight is 28,5, the 10 sec fight is 11,5 sec.

And to count the amount of rotations it should be 9,5 + 4 for the 72 sec fight, and 9,5 + 2 for the 11,5 sec fight.

Derp -.-

​Hehehe least you can edit now! <3

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​Hehehe least you can edit now! <3

​coooool didnt know! :3