The Arcane thread - Page 25

Raencloud · 01/28/09, 6:35 PM

Originally Posted by renegadeofunk

I think another factor that isn't being taken into account in the new (hotfixed) arcane calculations is the potential dps lost by getting multiple MB procs while stacking 3 ABs. Since it isn't a clear win to stack 3 ABs before AM+ABarr anymore, this fact holds more weight.

This is true, but its effect is very small and here's why:

The following assumptions we should be able to agree on:
1) It is always best to cast ABarr -> MBAM until no MB is proc'd, then begin AB
2) Due to the above, you should ALWAYS cast at least 2 ABs in a row (because you cannot predict a MB proc on the first AB)

If the first AB procs MB, we have 2 paths:
1) Cast another AB to reach the 3rd stack and then AB.
2) Cast MBAM immediately

As I detailed in my previous post, the difference in the two options is that option 1 will have a 3 stack MBAM and a 2 stack AB compared to a 2 stack MBAM and a 0 stack AB from option 2. It is clear that option 1 holds an advantage in this regard.

However, as you pointed out, what is you proc MB again during one of the ABs before you cast MB. Well, because in both cases you will always cast at least 2 ABs, we only need to examine procs from the extra AB that the first case would cast, because the chance of procing on the second AB cancels from each case. Each AB has a 20% chance to proc MB, so 20%(first AB proccing) * 20%(third AB proccing) = 4% of the time you will encounter this scenario.

So now the question is, is 4% more MBAM at 2 stacks enough to counter the extra dmg from the first cases 3 stack MBAM and 2 stack AB. I do not believe it is.

Omnia · 01/28/09, 6:49 PM

Originally Posted by Raencloud

you should never start an AB stack with a MB up.

It sounded like Kavan had best results always stacking to 3 regardless, even when MBAM procs on Abar?

muxxi · 01/28/09, 7:07 PM

Now that it is wednesday and all of you are raiding I'd like to hear what dps have you got on patchwerk with arcane spec. I tested the fireball spec today and got 6200 got a little lucky because rawr shows I should get only 6000+ but still more than 6000dps with the spec. I think fireball is the way to go now because it does not have the same mana problems that arcane has.

bombdigie · 01/28/09, 7:07 PM

Can someone here do me a big big favor?

Does casting time round up or down?

1.7851 cast time from haste = 1.79 cast time or 1.78 cast time?

1.7849 cast time from haste = 1.79 cast time or 1.78 cast time?

bombdigie · 01/28/09, 7:09 PM

Originally Posted by muxxi

Now that it is wednesday and all of you are raiding I'd like to hear what dps have you got on patchwerk with arcane spec. I tested the fireball spec today and got 6200 got a little lucky because rawr shows I should get only 6000+ but still more than 6000dps with the spec. I think fireball is the way to go now because it does not have the same mana problems that arcane has.

6700 was a recent WWS I saw last teusday night.

Arcane spec does not have any mana problems, people who play arcane spec poorly have mana problems. The goal is to be 0 mana at the end of the fight, so manage your mana accordingly for optimal dps and make sure you use your cooldowns in conjunction with each other.

manly · 01/28/09, 7:20 PM

Originally Posted by bombdigie

Can someone here do me a big big favor?

Does casting time round up or down?

1.7851 cast time from haste = 1.79 cast time or 1.78 cast time?

1.7849 cast time from haste = 1.79 cast time or 1.78 cast time?

Casting time is never rounded, much like spell hit isn't, and threat for that matter.

Raencloud · 01/28/09, 7:27 PM

Originally Posted by Omnia

It sounded like Kavan had best results always stacking to 3 regardless, even when MBAM procs on Abar?

No, what I believe Kavan was saying was also what you were saying in regards to ABarr. If you proc MB on ABarr, use it immediately. By doing so you will never start an AB stack with MB up, and always after ABarr (that doesn't proc MB). Once you cast 1 AB, however, you should always continue to a 3 stack and then decide what to do from there:

1) MBAM if it proc'd on the first 2 ABs*
2) AB if MB did not proc and you have excess mana --> repeat till you proc MB or use enough ABs to drain the excess mana
3) ABarr if MB has not proc'd and you don't have excess mana

*note that I mention only the first 2 ABs because if it procs on the 3rd you would not be able to predict this and you would either cast another AB in mana surplus situations or ABarr in mana efficient situations.

*edit* to clarify from before, I was responding to posts referencing casting MBAM on 1 or 2 stack AB. As Kavan mentioned, you should always either cast ABarr or MBAM on 0 or 3 stacks.

Omnia · 01/28/09, 7:38 PM

Originally Posted by Kavan

The low dps sustainable cycle is AB3ABarC (ABx3-ABar, use MBAM-ABar at 3 stack only) with 4775.48438 dps, 237.8472 mps.

I understood the above as do not MBAM at 0-stack. Maybe because you can't do MBAM-Abar at 0-stack (because of Abar cd). But I don't know if Kavan modeled the following sequences (though I assume he did):

AB AB AB Abar(proc) AB AB AB MBAM Abar
vs
AB AB AB Abar(proc) MBAM AB AB AB Abar

You're trading [60% of MBAM] for [60% of Abar + increased proc chance for next MBAM]. Tough call.

Raencloud · 01/28/09, 7:46 PM

ABSpam/0(C) (spam AB, do MBAM-ABar at 3 stack or 0 stack only) 5000.8 412.8

I prefer to use a variation of the max DPS cycle and the one you posted above. It's not the ultimate max dps, but it's also not so low on mana consumption.

It would be---> ABx3-ABarr (use MBAM-ABarr at 3 stack or 0 stack)

manly · 01/28/09, 7:47 PM

Originally Posted by Omnia

I understood the above as do not MBAM at 0-stack. Maybe because you can't do MBAM-Abar at 0-stack (because of Abar cd). But I don't know if Kavan modeled the following sequences (though I assume he did):

AB AB AB Abar(proc) AB AB AB MBAM Abar
vs
AB AB AB Abar(proc) MBAM AB AB AB Abar

You're trading [60% of MBAM] for [60% of Abar + increased proc chance for next MBAM]. Tough call.

...He did. That was the first listed rotation. Its also what I put up on the first post.

bombdigie · 01/28/09, 7:54 PM

Originally Posted by manly

Casting time is never rounded, much like spell hit isn't, and threat for that matter.

So even if your tooltip says 1.79, it could really be 1.781?

marloz · 01/28/09, 8:01 PM

IIRC tooltip casting-time is rounded in the 2 latter decimals, i.e. 1.464 is 1.46 while 1.466 is 1.47s - but practically you don't gain/lose anything.

ShoGuL · 01/28/09, 8:08 PM

Originally Posted by bombdigie

So even if your tooltip says 1.79, it could really be 1.781?

If you use Quartz, you can go into configuration and set the number of decimals (maximum of 3). Your casting bar will then say 1.781 when you cast (if that's what your casting time is).

Omnia · 01/28/09, 8:22 PM

To clarify: there is no Abar after MBAM, in the second rotation I suggested (unlike Kavan's). That's because the Abar(proc)-MBAM-Abar sequence doesn't work whenever IV, Bloodlust, Embrace of the Spider, or Egg of Mortal Essence is up.

Kavan · 01/28/09, 9:09 PM

Originally Posted by nathanbp

How about using (X/Y) to enclose the options (on if MB proced or not) and using C for MBAMABar. So the cycles from Kavan's post would be something like:

Cycle	Kavan's Description	dps	mps
ABSpam/0(C)	(spam AB, do MBAM-ABar at 3 stack or 0 stack only)	5000.8	412.8
ABSpam(C)	(spam AB, do MBAM-ABar at 3 stack only)	4986.5	396.2
AB3(ABar/C)	(ABx3-ABar, use MBAM-ABar at 3 stack only)	4775.5	237.8
AB2(ABar/ABC)	(ABx2-ABar, use MBAM-ABar at 3 stack only)	4682.7	202.5
AB2(ABar/C)	(ABx2-ABar, use MBAM-ABar at 2 stack only)	4584.5	168.8
AB2(ABar/MBAM)	(ABx2-ABar, replacing ABar in the cycle with MBAM if we see proc up)	4525.9	155.8
ABABar(/MBAM)	(AB-ABar, if you get a proc insert it after ABar and start again with AB)	4446.2	140.7
ABABar	(plain AB-ABar, not using procs at all)	4103.7	101.7
ABAM	(plain AB-AM, procs get used automatically as they happen)	3722.4	74.9

Of interest to me from looking at that list is that AB(ABar/MBAM) isn't on it but ABABar(/MBAM) is. Something to do with reaction time to procs maybe?

I like this proposal.

That is indeed due to reaction time, because the model assumes the proc from AB is not known to the player until during next spell.

Kavan · 01/28/09, 10:29 PM

Originally Posted by Omnia

The question is, why do Kavan's simulations recommend stacking to 3 always?

The main cause for the difference is that you're omitting part of the question. You're looking at given that we have a proc now, what can I do from here on. You're neglecting the part of what if there is no proc. It might not be clear from a first look, but both of those are connected to each other and you can't look at one independently of the other if you want an overall assessment.

To give you an example. Let's look at two cycles, ABx3-ABar with MBAM-ABar at 3 stack only and ABx3-ABar with MBAM-ABar at 3 or 2 stack.

If you look at proportion of casts in each cycle you get the following:

ABx3-ABar with MBAM-ABar at 3 stack only:
AB0: 22.05%
ABar0: 11.81%
AB1: 22.05%
AB2: 22.05%
ABar3: 10.24%
MBAM3: 11.81%

ABx3-ABar with MBAM-ABar at 3 or 2 stack:
AB0: 24.29%
ABar0: 13.01%
AB1: 24.29%
AB2: 14.10%
MBAM2: 10.19%
ABar3: 11.28%
MBAM3: 2.82%

Assuming zero-haste to simplify numbers (both scale the same way with haste) we get:

(0.2205 * AB + 0.2205 * 1.18 * AB + 0.2205 * 1.36 * AB + 0.1181 * ABar + 0.1024 * 1.54 * ABar + 0.1181 * 1.54 * AM) / 2.27975 = (0.78057 * AB + 0.275796 * ABar + 0.181874 AM) / 2.27975 = 0.34239 * AB + 0.12098 * ABar + 0.07978 * AM

(0.2429 * AB + 0.2429 * 1.18 * AB + 0.1410 * 1.36 * AB + 0.1301 * ABar + 0.1128 * 1.54 * ABar + 0.1019 * 1.36 * AM + 0.0282 * 1.54 * AM) / 2.2566 = (0.721282 * AB + 0.303812 * ABar + 0.182012 * AM) / 2.2566 = 0.31963 * AB + 0.13463 * ABar + 0.08066 * AM

As you can see it is not clear which cycle has higher dps without knowing the values for the spells.

In my test setup I get the following numbers (this is average damage per cast):

AB = 5909
ABar = 5170
AM = 11297

The numbers give 3549.92377 for first cycle and 3495.94679 for the second. So as you can see, even though at first glance it might seem that there's benefit to casting MBAM as soon as possible, waiting till 3 stacks gives higher dps overall.

EDIT: I wanted to give an example comparing with ABx3-ABar with MBAM-ABar as soon as you notice, but I used cast distribution for another cycle, so I'll show the math for this one to cover all cases.

ABx3-ABar with MBAM-ABar as soon as you notice (that is 0, 2 or 3 stack, you can never know that you have a proc at 1 stack):
AB0: 20.34%
ABar0: 15.01%
MBAM0: 7.69%
AB1: 20.34%
AB2: 16.27%
MBAM2: 4.07%
ABar3: 13.02%
MBAM3: 3.25%

(0.2034 * AB + 0.2034 * 1.18 * AB + 0.1627 * 1.36 * AB + 0.1501 * ABar + 0.1302 * 1.54 * ABar + 0.0769 * AM + 0.0407 * 1.36 * AM + 0.0325 * 1.54 * AM) / 2.21945 = 0.29948 * AB + 0.15797 * ABar + 0.08214 * AM = 3514.2678

Result is still the same, stacking to 3 gives higher dps, but I just wanted to have this here for completeness. As I said before, there are 102 unique cycles and all were compared to arrive at the optimal pairs I suggested.

Trebron · 01/28/09, 11:35 PM

Originally Posted by Majost

#showtooltip
/cast [nochanneling:Arcane Missiles] Arcane Missiles

TANGENT: Tried this macro out tonight. It did not (as I assumed it would) take away the channeling effect of AM.

What it did, at least on a target dummy, is NOT put me in combat while still allowing AM to cast.

If I was in combat previously (AB spamming the dummy or whatever) and then casted the AM, I would be out of combat by the time it was done casting.

Is this some secret mage voodoo I didn't know about? Alternatively, can someone explain the effect this would have if I was in combat in a raid, if any?

Sorry if I'm the one being a target dummy, but it seemed interesting.

Guintof · 01/29/09, 12:32 AM

Originally Posted by Trebron

TANGENT: Tried this macro out tonight. It did not (as I assumed it would) take away the channeling effect of AM.

What it did, at least on a target dummy, is NOT put me in combat while still allowing AM to cast.

If I was in combat previously (AB spamming the dummy or whatever) and then casted the AM, I would be out of combat by the time it was done casting.

Is this some secret mage voodoo I didn't know about? Alternatively, can someone explain the effect this would have if I was in combat in a raid, if any?

Sorry if I'm the one being a target dummy, but it seemed interesting.

I have no idea about the combat but something tells me it has to do with the target dummies throwing you out of combat after a while (You dont wanna be in combat forever since the dummies dont die, do you) so there should be no such thing in a proper fight.

Correct me if I am wrong someone?

If you were in combat in a raid all would be as normal, you'd still be in combat while throwing AM, all the macro would do is not allow you to spam AM and keep wasting your mana on renewing the channel.

Ultralisk · 01/29/09, 12:37 AM

What would be the best usage of Blood Lust given that my guild usually burns it in about 10-20 seconds into the fight?
----
What I do is in the beginning of the fight, until BL is burned

AB AB PoMAB ABarr (if MB procs on this ABarr, then AM ABarr)

if MB procs during 1st or 2nd AB then
AB AB PoMAB AM ABarr

if MB procs on 3rd AB then
AB AB PoMAB ABarr AM ABarr
----
When BL is burned, I AP/IV/Haste Pot
ABx4 ABarr (if MB procs on this ABarr, then AM ABarr)

I just try my best to burn my mana during BL so I'm totally OOM with about 2-3 seconds left of BL then I Evo/Gem.

----

Am I doing this right? Any suggestion to milk more DPS during BL?

Raencloud · 01/29/09, 12:50 AM

Kavan, can you show me a breakdown of MBAM-ABarr at 0 or 3 stacks only, and using ABarr at 3 stacks instead of spamming AB till MB proc. Just to clarify:

ABarr
-if MB proc, then MBAM
-if no proc, then ABx3
--if MB procs on AB1 or AB2, then MBAM and return to top
--if MB doesn't proc or procs on AB3, then return to top

Guintof · 01/29/09, 12:54 AM

I am having trouble understanding how is it even possible to MBAM at 0 Stacks in the max dps cycle.

Using Nathanbps notation the highest dps cycle is ABSpam/0(C) (Spam AB and throw MBAM-Abarr on 3 or 0 stacks).

In a situation like that the only time you'll have AB at 0 stacks is after casting MBAM-Abarr (Since you're spamming AB otherwise and it will be stacked at 3 at all times), besides AB, Abarr is the only other spell being used that can proc MB however in a cycle like that by the time you realize your Abarr has procced MB you'll be already mid-cast an AB meaning that according to the rotation you should stack it up to 3 (Instead of casting MBAM-Abarr at 1 stack). Am I missing something or is that 0 stack supposed to be when you cant stack AB (Due to having to move in a fight) and you are only spamming Abarr?

♦ nathanbp · 01/29/09, 1:00 AM

Originally Posted by Guintof

I am having trouble understanding how is it even possible to MBAM at 0 Stacks in the max dps cycle.

Using Nathanbps notation the highest dps cycle is ABSpam/0(C) (Spam AB and throw MBAM-Abarr on 3 or 0 stacks).

In a situation like that the only time you'll have AB at 0 stacks is after casting MBAM-Abarr (Since you're spamming AB otherwise and it will be stacked at 3 at all times), besides AB, Abarr is the only other spell being used that can proc MB however in a cycle like that by the time you realize your Abarr has procced MB you'll be already mid-cast an AB meaning that according to the rotation you should stack it up to 3 (Instead of casting MBAM-Abarr at 1 stack). Am I missing something or is that 0 stack supposed to be when you cant stack AB (Due to having to move in a fight) and you are only spamming Abarr?

Since ABarr is instant cast, you should be able to see the MB proc before you can start casting your next AB. Your ability to do this probably greatly depends on your lag and reaction time (I seem to miss it most times). The next cycle down (ABSpam, C at 3 stacks only), is almost the same dps anyways, so it's probably not a big deal if you miss it.

caljente · 01/29/09, 1:03 AM

is it better to use the arcane Potency of PoM for MBAM ?

Guintof · 01/29/09, 1:11 AM

EDIT: Checking the talent thread for mages was all I needed to find out MB procs on spell cast and not spell hit rending my question previously on this post useless.

Thanks Nathanbp

Kavan · 01/29/09, 1:47 AM

This is the full list of all 102 cycles. They are identified by their spell selection logic string. The numbers in the control string have the following meaning:

1) at 0 stack with ABar not on cooldown do: 0 = AB, 1 = ABar, 2 = AM
2) at 1 stack if you don't see MB do: 0 = AB, 1 = ABar, 2 = AM
3) at 0 stack with ABar on cooldown if you don't see MB do: 0 = AB, 1 = AM
4) at 0 stack with ABar on cooldown if you see MB do: 0 = AB, 1 = AM
5) at 1 stack if you see MB do: 0 = AB, 1 = ABar, 2 = AM
6) at 2 stack if you don't see MB do: 0 = AB, 1 = ABar, 2 = AM
7) at 2 stack if you see MB do: 0 = AB, 1 = ABar, 2 = AM
8) at 3 stack if you don't see MB do: 0 = AB, 1 = ABar, 2 = AM
9) at 3 stack if you see MB do: 0 = AB, 1 = ABar, 2 = AM

000000000:
AB3:	100.00%

000000001:
AB0:	25.00%
AB1:	25.00%
AB2:	25.00%
ABar3:	25.00%

000000002:
AB0:	13.89%
AB1:	13.89%
AB2:	13.89%
AB3:	44.44%
MBAM3:	13.89%

000000012:
AB0:	25.00%
AB1:	25.00%
AB2:	25.00%
ABar3:	13.00%
MBAM3:	12.00%

000000022:
AB0:	25.00%
AB1:	25.00%
AB2:	25.00%
AM3:	12.80%
MBAM3:	12.20%

000000100:
AB0:	33.33%
AB1:	33.33%
ABar2:	33.33%

000000201:
AB0:	19.15%
AB1:	19.15%
AB2:	8.51%
MBAM2:	10.64%
AB3:	34.04%
ABar3:	8.51%

000000202:
AB0:	14.29%
AB1:	14.29%
AB2:	11.43%
MBAM2:	2.86%
AB3:	45.71%
MBAM3:	11.43%

000000211:
AB0:	27.97%
AB1:	27.97%
AB2:	16.09%
MBAM2:	11.88%
ABar3:	16.09%

000000212:
AB0:	27.40%
AB1:	27.40%
AB2:	17.81%
MBAM2:	9.58%
ABar3:	14.25%
MBAM3:	3.56%

000000221:
AB0:	27.10%
AB1:	27.10%
AB2:	18.69%
MBAM2:	8.41%
ABar3:	3.74%
AM3:	11.96%
MBAM3:	2.99%

000000222:
AB0:	26.32%
AB1:	26.32%
AB2:	21.05%
MBAM2:	5.26%
AM3:	13.47%
MBAM3:	7.58%

000001002:
AB0:	29.60%
AB1:	29.60%
AB2:	11.21%
ABar2:	18.38%
MBAM3:	11.21%

000001200:
AB0:	33.33%
AB1:	33.33%
ABar2:	20.70%
MBAM2:	12.63%

000002002:
AB0:	31.25%
AB1:	31.25%
AB2:	6.25%
AM2:	20.00%
MBAM2:	5.00%
MBAM3:	6.25%

000002200:
AB0:	33.33%
AB1:	33.33%
AM2:	21.33%
MBAM2:	12.00%

000100001:
AB0:	12.20%
MBAM0:	12.20%
AB1:	12.20%
AB2:	12.20%
AB3:	39.02%
ABar3:	12.20%

000100011:
AB0:	21.78%
MBAM0:	12.86%
AB1:	21.78%
AB2:	21.78%
ABar3:	21.78%

000100012:
AB0:	23.64%
MBAM0:	5.45%
AB1:	23.64%
AB2:	23.64%
ABar3:	15.13%
MBAM3:	8.51%

000100021:
AB0:	22.94%
MBAM0:	8.26%
AB1:	22.94%
AB2:	22.94%
ABar3:	8.26%
AM3:	11.74%
MBAM3:	2.94%

000100101:
AB0:	12.50%
MBAM0:	12.50%
AB1:	12.50%
AB2:	10.00%
ABar2:	2.50%
AB3:	40.00%
ABar3:	10.00%

000100102:
AB0:	13.89%
MBAM0:	2.78%
AB1:	13.89%
AB2:	11.11%
ABar2:	2.78%
AB3:	44.44%
MBAM3:	11.11%

000100111:
AB0:	22.78%
MBAM0:	13.45%
AB1:	22.78%
AB2:	18.22%
ABar2:	4.56%
ABar3:	18.22%

000100112:
AB0:	23.64%
MBAM0:	10.17%
AB1:	23.64%
AB2:	18.91%
ABar2:	4.73%
ABar3:	15.13%
MBAM3:	3.78%

000100121:
AB0:	24.04%
MBAM0:	8.65%
AB1:	24.04%
AB2:	19.23%
ABar2:	4.81%
ABar3:	3.85%
AM3:	12.31%
MBAM3:	3.08%

000100122:
AB0:	25.00%
MBAM0:	5.00%
AB1:	25.00%
AB2:	20.00%
ABar2:	5.00%
AM3:	12.80%
MBAM3:	7.20%

000100201:
AB0:	12.82%
MBAM0:	10.26%
AB1:	12.82%
AB2:	10.26%
MBAM2:	2.56%
AB3:	41.03%
ABar3:	10.26%

000100211:
AB0:	23.86%
MBAM0:	9.32%
AB1:	23.86%
AB2:	19.09%
MBAM2:	4.77%
ABar3:	19.09%

000100212:
AB0:	24.81%
MBAM0:	5.72%
AB1:	24.81%
AB2:	19.85%
MBAM2:	4.96%
ABar3:	15.88%
MBAM3:	3.97%

000100221:
AB0:	25.25%
MBAM0:	4.04%
AB1:	25.25%
AB2:	20.20%
MBAM2:	5.05%
ABar3:	4.04%
AM3:	12.93%
MBAM3:	3.23%

000101001:
AB0:	27.11%
MBAM0:	13.23%
AB1:	27.11%
AB2:	5.42%
ABar2:	21.69%
ABar3:	5.42%

000101002:
AB0:	28.67%
MBAM0:	8.26%
AB1:	28.67%
AB2:	5.73%
ABar2:	22.94%
MBAM3:	5.73%

000101100:
AB0:	28.67%
MBAM0:	13.99%
AB1:	28.67%
ABar2:	28.67%

000101200:
AB0:	30.41%
MBAM0:	8.76%
AB1:	30.41%
ABar2:	24.33%
MBAM2:	6.08%

000102001:
AB0:	29.41%
MBAM0:	5.88%
AB1:	29.41%
AB2:	5.88%
AM2:	18.82%
MBAM2:	4.71%
ABar3:	5.88%

000102100:
AB0:	31.25%
MBAM0:	6.25%
AB1:	31.25%
ABar2:	6.25%
AM2:	20.00%
MBAM2:	5.00%

001000012:
AB0:	23.08%
AM0:	7.68%
AB1:	23.08%
AB2:	23.08%
ABar3:	12.00%
MBAM3:	11.07%

001000211:
AB0:	25.84%
AM0:	7.61%
AB1:	25.84%
AB2:	14.87%
MBAM2:	10.97%
ABar3:	14.87%

001000212:
AB0:	25.11%
AM0:	8.36%
AB1:	25.11%
AB2:	16.32%
MBAM2:	8.78%
ABar3:	13.06%
MBAM3:	3.26%

001001002:
AB0:	26.48%
AM0:	10.53%
AB1:	26.48%
AB2:	10.03%
ABar2:	16.45%
MBAM3:	10.03%

001001200:
AB0:	29.43%
AM0:	11.70%
AB1:	29.43%
ABar2:	18.28%
MBAM2:	11.15%

001100011:
AB0:	20.00%
AM0:	8.19%
MBAM0:	11.81%
AB1:	20.00%
AB2:	20.00%
ABar3:	20.00%

001100012:
AB0:	21.55%
AM0:	8.83%
MBAM0:	4.97%
AB1:	21.55%
AB2:	21.55%
ABar3:	13.79%
MBAM3:	7.76%

001100111:
AB0:	20.83%
AM0:	8.53%
MBAM0:	12.30%
AB1:	20.83%
AB2:	16.67%
ABar2:	4.17%
ABar3:	16.67%

001100112:
AB0:	21.55%
AM0:	8.83%
MBAM0:	9.28%
AB1:	21.55%
AB2:	17.24%
ABar2:	4.31%
ABar3:	13.79%
MBAM3:	3.45%

001100211:
AB0:	21.74%
AM0:	8.90%
MBAM0:	8.49%
AB1:	21.74%
AB2:	17.39%
MBAM2:	4.35%
ABar3:	17.39%

001100212:
AB0:	22.52%
AM0:	9.23%
MBAM0:	5.19%
AB1:	22.52%
AB2:	18.02%
MBAM2:	4.50%
ABar3:	14.41%
MBAM3:	3.60%

001101001:
AB0:	23.81%
AM0:	12.19%
MBAM0:	11.62%
AB1:	23.81%
AB2:	4.76%
ABar2:	19.05%
ABar3:	4.76%

001101002:
AB0:	25.00%
AM0:	12.80%
MBAM0:	7.20%
AB1:	25.00%
AB2:	5.00%
ABar2:	20.00%
MBAM3:	5.00%

001101100:
AB0:	25.00%
AM0:	12.80%
MBAM0:	12.20%
AB1:	25.00%
ABar2:	25.00%

001101200:
AB0:	26.32%
AM0:	13.47%
MBAM0:	7.58%
AB1:	26.32%
ABar2:	21.05%
MBAM2:	5.26%

010000000:
AB0:	50.00%
ABar1:	50.00%

010100000:
AB0:	42.37%
MBAM0:	15.25%
ABar1:	42.37%

011100000:
AB0:	33.33%
AM0:	21.33%
MBAM0:	12.00%
ABar1:	33.33%

020000000:
AB0:	50.00%
AM1:	40.00%
MBAM1:	10.00%

100000002:
AB0:	13.23%
ABar0:	13.23%
AB1:	13.23%
AB2:	13.23%
AB3:	33.86%
MBAM3:	13.23%

100000012:
AB0:	22.05%
ABar0:	11.81%
AB1:	22.05%
AB2:	22.05%
ABar3:	10.24%
MBAM3:	11.81%

100000022:
AB0:	20.00%
ABar0:	20.00%
AB1:	20.00%
AB2:	20.00%
AM3:	8.19%
MBAM3:	11.81%

100000201:
AB0:	17.98%
ABar0:	10.96%
AB1:	17.98%
AB2:	7.02%
MBAM2:	10.96%
AB3:	28.07%
ABar3:	7.02%

100000202:
AB0:	13.89%
ABar0:	13.89%
AB1:	13.89%
AB2:	8.89%
MBAM2:	5.00%
AB3:	35.56%
MBAM3:	8.89%

100000211:
AB0:	25.00%
ABar0:	12.00%
AB1:	25.00%
AB2:	13.00%
MBAM2:	12.00%
ABar3:	13.00%

100000212:
AB0:	24.29%
ABar0:	13.01%
AB1:	24.29%
AB2:	14.10%
MBAM2:	10.19%
ABar3:	11.28%
MBAM3:	2.82%

100000221:
AB0:	22.45%
ABar0:	19.90%
AB1:	22.45%
AB2:	12.74%
MBAM2:	9.71%
ABar3:	2.55%
AM3:	8.15%
MBAM3:	2.04%

100000222:
AB0:	21.55%
ABar0:	21.55%
AB1:	21.55%
AB2:	13.79%
MBAM2:	7.76%
AM3:	8.83%
MBAM3:	4.97%

100001002:
AB0:	25.87%
ABar0:	11.19%
AB1:	25.87%
AB2:	11.19%
ABar2:	14.68%
MBAM3:	11.19%

100001200:
AB0:	29.13%
ABar0:	12.60%
AB1:	29.13%
ABar2:	16.53%
MBAM2:	12.60%

100002002:
AB0:	22.94%
ABar0:	22.94%
AB1:	22.94%
AB2:	8.26%
AM2:	11.74%
MBAM2:	2.94%
MBAM3:	8.26%

100002200:
AB0:	25.00%
ABar0:	25.00%
AB1:	25.00%
AM2:	12.80%
MBAM2:	12.20%

100100001:
AB0:	10.31%
ABar0:	12.89%
MBAM0:	12.89%
AB1:	10.31%
AB2:	10.31%
AB3:	32.99%
ABar3:	10.31%

100100002:
AB0:	11.49%
ABar0:	14.37%
MBAM0:	2.87%
AB1:	11.49%
AB2:	11.49%
AB3:	36.78%
MBAM3:	11.49%

100100011:
AB0:	18.26%
ABar0:	13.48%
MBAM0:	13.48%
AB1:	18.26%
AB2:	18.26%
ABar3:	18.26%

100100012:
AB0:	19.55%
ABar0:	14.43%
MBAM0:	7.39%
AB1:	19.55%
AB2:	19.55%
ABar3:	12.51%
MBAM3:	7.04%

100100021:
AB0:	17.06%
ABar0:	21.33%
MBAM0:	10.41%
AB1:	17.06%
AB2:	17.06%
ABar3:	6.14%
AM3:	8.74%
MBAM3:	2.18%

100100022:
AB0:	18.18%
ABar0:	22.73%
MBAM0:	4.55%
AB1:	18.18%
AB2:	18.18%
AM3:	9.31%
MBAM3:	8.87%

100100101:
AB0:	10.53%
ABar0:	13.16%
MBAM0:	13.16%
AB1:	10.53%
AB2:	8.42%
ABar2:	2.11%
AB3:	33.68%
ABar3:	8.42%

100100102:
AB0:	11.49%
ABar0:	14.37%
MBAM0:	5.17%
AB1:	11.49%
AB2:	9.20%
ABar2:	2.30%
AB3:	36.78%
MBAM3:	9.20%

100100111:
AB0:	18.95%
ABar0:	13.99%
MBAM0:	13.99%
AB1:	18.95%
AB2:	15.16%
ABar2:	3.79%
ABar3:	15.16%

100100112:
AB0:	19.55%
ABar0:	14.43%
MBAM0:	11.30%
AB1:	19.55%
AB2:	15.64%
ABar2:	3.91%
ABar3:	12.51%
MBAM3:	3.13%

100100121:
AB0:	17.67%
ABar0:	22.08%
MBAM0:	10.78%
AB1:	17.67%
AB2:	14.13%
ABar2:	3.53%
ABar3:	2.83%
AM3:	9.05%
MBAM3:	2.26%

100100122:
AB0:	18.18%
ABar0:	22.73%
MBAM0:	8.18%
AB1:	18.18%
AB2:	14.55%
ABar2:	3.64%
AM3:	9.31%
MBAM3:	5.24%

100100201:
AB0:	10.75%
ABar0:	13.44%
MBAM0:	11.29%
AB1:	10.75%
AB2:	8.60%
MBAM2:	2.15%
AB3:	34.41%
ABar3:	8.60%

100100202:
AB0:	11.76%
ABar0:	14.71%
MBAM0:	2.94%
AB1:	11.76%
AB2:	9.41%
MBAM2:	2.35%
AB3:	37.65%
MBAM3:	9.41%

100100211:
AB0:	19.70%
ABar0:	14.54%
MBAM0:	10.60%
AB1:	19.70%
AB2:	15.76%
MBAM2:	3.94%
ABar3:	15.76%

100100212:
AB0:	20.34%
ABar0:	15.01%
MBAM0:	7.69%
AB1:	20.34%
AB2:	16.27%
MBAM2:	4.07%
ABar3:	13.02%
MBAM3:	3.25%

100100221:
AB0:	18.32%
ABar0:	22.89%
MBAM0:	7.51%
AB1:	18.32%
AB2:	14.65%
MBAM2:	3.66%
ABar3:	2.93%
AM3:	9.38%
MBAM3:	2.34%

100100222:
AB0:	18.87%
ABar0:	23.58%
MBAM0:	4.72%
AB1:	18.87%
AB2:	15.09%
MBAM2:	3.77%
AM3:	9.66%
MBAM3:	5.43%

100101001:
AB0:	22.62%
ABar0:	13.80%
MBAM0:	13.80%
AB1:	22.62%
AB2:	4.52%
ABar2:	18.10%
ABar3:	4.52%

100101002:
AB0:	23.70%
ABar0:	14.45%
MBAM0:	9.72%
AB1:	23.70%
AB2:	4.74%
ABar2:	18.96%
MBAM3:	4.74%

100101100:
AB0:	23.70%
ABar0:	14.45%
MBAM0:	14.45%
AB1:	23.70%
ABar2:	23.70%

100101200:
AB0:	24.88%
ABar0:	15.17%
MBAM0:	10.20%
AB1:	24.88%
ABar2:	19.90%
MBAM2:	4.98%

100102001:
AB0:	20.41%
ABar0:	25.51%
MBAM0:	9.18%
AB1:	20.41%
AB2:	4.08%
AM2:	13.06%
MBAM2:	3.27%
ABar3:	4.08%

100102002:
AB0:	21.28%
ABar0:	26.60%
MBAM0:	5.32%
AB1:	21.28%
AB2:	4.26%
AM2:	13.62%
MBAM2:	3.40%
MBAM3:	4.26%

100102100:
AB0:	21.28%
ABar0:	26.60%
MBAM0:	9.57%
AB1:	21.28%
ABar2:	4.26%
AM2:	13.62%
MBAM2:	3.40%

100102200:
AB0:	22.22%
ABar0:	27.78%
MBAM0:	5.56%
AB1:	22.22%
AM2:	14.22%
MBAM2:	8.00%

101000002:
AB0:	7.69%
ABar0:	38.46%
AM0:	30.77%
AB1:	7.69%
AB2:	7.69%
MBAM3:	7.69%

101000200:
AB0:	8.33%
ABar0:	41.67%
AM0:	33.33%
AB1:	8.33%
MBAM2:	8.33%

101100000:
ABar0:	50.00%
AM0:	40.00%
MBAM0:	10.00%

110100000:
AB0:	34.48%
ABar0:	15.52%
MBAM0:	15.52%
ABar1:	34.48%

120000000:
AB0:	33.33%
ABar0:	33.33%
AM1:	21.33%
MBAM1:	12.00%

120100000:
AB0:	28.57%
ABar0:	35.71%
MBAM0:	7.14%
AM1:	22.86%
MBAM1:	5.71%

121000000:
AB0:	9.09%
ABar0:	45.45%
AM0:	36.36%
MBAM1:	9.09%

200000000:
AM0:	100.00%