User:MindlessGames: Difference between revisions

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imported>MindlessGames
m Tuxedo Shirt theoretical model.
imported>MindlessGames
m should probably put this on an actual page somewhere
 
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My main is RoyalTonberry<br>
My main is RoyalTonberry.


==Tuxedo Shirt==
I am keeping this here for the time being, until I have enough data to present on the tuxedo shirt page.


As far as spading this goes, the base assumption that it adds 1-3 randomly needs to be evaluated first, then the others can happen.
== Astral Consumable Comparison ==
 
Mouse over each cell to see the Average yield of the consumable, as well as the Adventures/Size of the Consumable.
If it's random 1-3, then we expect the following to happen.
{| border="1px" cellpadding="4px" cellspacing="0" style="margin:1em; text-align:center"
 
|- style="background-color:#EFEFEF;"
===martinis===
! Level
* 5s -> 50% -> 6, 7, 8 as 1/3 of 50%
! Hot Dog<br/>Adventures
* 6s -> 50% -> 7, 8, 9 as 1/3 of 50%
! Hot Dog<br/>Stat gains
 
! Pilsner<br/>Adventures
after shirt:
! Pilsner<br/>Stat gains
* 6s -> 1/6
! Energy Drink<br/>Adventures
* 7s -> 1/3
! Adventures if you<br/>consume all<br/>at this level
* 8s -> 1/3
! Stats if you<br/>consume all<br/>at this level
* 9s -> 1/6
|-
 
| 1-3 || <span title="Average: 6.00, Adv/Full: 2.00">6</span> || <span title="Average: 54.00, Stats/Full: 18.00">48-60</span> || <span title="Average: 3.00, Adv/Drunk: 3.00">3</span> || <span title="Average: 3.00, Stats/Drunk: 3.00">0-6</span> || <span title="Average: 16.00, Adv/Spleen: 2.00">13-19</span> || Hot Dog: 18, average 18.00<br/>Pilsner: 18<br/>Energy Drink: 39-57 || Hot Dog: 144-180, average 162.0<br/>Pilsner: 0-36, average 18.00
 
|-
and with blender
| 4 || <span title="Average: 8.00, Adv/Full: 2.66">8</span> || <span title="Average: 72.00, Stats/Full: 24.00">64-80</span> || <span title="Average: 4.00, Adv/Drunk: 4.00">4</span> || <span title="Average: 4.00, Stats/Drunk: 4.00">0-8</span> || <span title="Average: 18.00, Adv/Spleen: 2.25">15-21</span> || Hot Dog: 24, average 24.00<br/>Pilsner: 24<br/>Energy Drink: 45-61 || Hot Dog: 192-240, average 216.0<br/>Pilsner: 0-48, average 24.00
* 5-6.6
|-
* 5s -> 20% -> 6,7,8 as 1/3 of 20%
| 5 || <span title="Average: 10.00, Adv/Full: 3.33">9-11</span> || <span title="Average: 90.00, Stats/Full: 30.00">80-100</span> || <span title="Average: 5.00, Adv/Drunk: 5.00">5</span> || <span title="Average: 5.00, Stats/Drunk: 5.00">0-10</span> || <span title="Average: 20.00, Adv/Spleen: 2.50">17-23</span> || Hot Dog: 27-33, average 30.00<br/>Pilsner: 30<br/>Energy Drink: 51-69 || Hot Dog: 240-300, average 270.0<br/>Pilsner: 0-60, average 30.00
* 6s -> 50% -> 7,8,9 as 1/3 of 50%
|-
* 7s -> 30% -> 8,9,10 as 1/3 of 30%
| 6 || <span title="Average: 12.00, Adv/Full: 4.00">11-13</span> || <span title="Average: 108.00, Stats/Full: 36.00">96-120</span> || <span title="Average: 6.00, Adv/Drunk: 6.00">6</span> || <span title="Average: 6.00, Stats/Drunk: 6.00">0-12</span> || <span title="Average: 22.00, Adv/Spleen: 2.75">19-25</span> || Hot Dog: 33-39, average 36.00<br/>Pilsner: 36<br/>Energy Drink: 57-75 || Hot Dog: 288-360, average 324.0<br/>Pilsner: 0-72, average 36.00
 
|-
after shirt:
| 7 || <span title="Average: 14.00, Adv/Full: 4.66">13-15</span> || <span title="Average: 126.00, Stats/Full: 42.00">112-140</span> || <span title="Average: 7.00, Adv/Drunk: 7.00">7</span> || <span title="Average: 7.00, Stats/Drunk: 7.00">0-14</span> || <span title="Average: 24.00, Adv/Spleen: 3.00">21-27</span> || Hot Dog: 39-45, average 42.00<br/>Pilsner: 42<br/>Energy Drink: 63-81 || Hot Dog: 336-420, average 378.0<br/>Pilsner: 0-84, average 42.00
* 6s -> 6.66%
|-
* 7s -> 23.33%
| 8 || <span title="Average: 16.00, Adv/Full: 5.33">15-17</span> || <span title="Average: 144.00, Stats/Full: 48.00">128-160</span> || <span title="Average: 8.00, Adv/Drunk: 8.00">8</span> || <span title="Average: 8.00, Stats/Drunk: 8.00">0-16</span> || <span title="Average: 26.00, Adv/Spleen: 3.25">23-29</span> || Hot Dog: 45-51, average 48.00<br/>Pilsner: 48<br/>Energy Drink: 69-87 || Hot Dog: 384-480, average 432.0<br/>Pilsner: 0-96, average 48.00
* 8s -> 33.33%
|-
* 9s -> 26.66%
| 9 || <span title="Average: 18.00, Adv/Full: 6.00">17-19</span> || <span title="Average: 162.00, Stats/Full: 54.00">144-180</span> || <span title="Average: 9.00, Adv/Drunk: 9.00">9</span> || <span title="Average: 9.00, Stats/Drunk: 9.00">0-18</span> || <span title="Average: 28.00, Adv/Spleen: 3.50">25-31</span> || Hot Dog: 51-57, average 54.00<br/>Pilsner: 54<br/>Energy Drink: 75-93 || Hot Dog: 432-540, average 486.0<br/>Pilsner: 0-108, average 54.00
* 10s -> 10%
|-
 
| 10 || <span title="Average: 20.00, Adv/Full: 6.66">18-22</span> || <span title="Average: 180.00, Stats/Full: 60.00">160-200</span> || <span title="Average: 10.00, Adv/Drunk: 10.00">10</span> || <span title="Average: 10.00, Stats/Drunk: 10.00">0-20</span> || <span title="Average: 30.00, Adv/Spleen: 3.75">27-33</span> || Hot Dog: 54-66, average 60.00<br/>Pilsner: 60<br/>Energy Drink: 81-99 || Hot Dog: 480-600, average 540.0<br/>Pilsner: 0-120, average 60.00
 
|-
====Ode====
| 11+ || <span title="Average: 22.00, Adv/Full: 7.33">20-24</span> || <span title="Average: 198.00, Stats/Full: 66.00">176-220</span> || <span title="Average: 11.00, Adv/Drunk: 11.00">11</span> || <span title="Average: 11.00, Stats/Drunk: 11.00">0-22</span> || <span title="Average: 32.00, Adv/Spleen: 4.00">29-35</span> || Hot Dog: 60-72, average 66.00<br/>Pilsner: 66<br/>Energy Drink: 87-105 || Hot Dog: 528-660, average 594.0<br/>Pilsner: 0-132, average 66.00
if Ode acts ''before'' Tux, we expect:
|}
* 7-8.0
* At the same level, the Hot Dog is always 6x better Stats/Size than the Pilsner.
* 7s -> 50% -> 8, 9, 10 as 1/3 of 50%
* At the same level, the Pilsner is always 1.5x better Adventures/Size than the Hot Dog.
* 8s -> 50% -> 9, 10, 11 as 1/3 of 50%
 
after shirt:
* 8s -> 1/6
* 9s -> 1/3
* 10s -> 1/3
* 11s -> 1/6
 
if Ode acts ''after'' Tux, we expect:
* 5s -> 50% -> 6, 7, 8 as 1/3 of 50%
* 6s -> 50% -> 7, 8, 9 as 1/3 of 50%
 
Ode maps 6->8, 7->9, 8->11, and 9->12
 
after shirt:
* 8s -> 1/6
* 9s -> 1/3
* 11s -> 1/3
* 12s -> 1/6
 
We have observed 10s with Ode, Tux, and Blender.  
:Note that Blender will not affect how Ode adds adventures. Observing any 10s at all with Ode active rules out the possibility of Tux acting before Ode.
:<font color=red>So Ode acts first!</font>
 
====Frosty's Mug====
if Frosty acts ''before'' Tux, we expect:
6s -> 50%  -> 7, 8, 9 as 1/3 of 50%
7s -> 50%  -> 8, 9, 10 as 1/3 of 50%
 
then apply shirt
* 7s -> 1/6
* 8s -> 1/3
* 9s -> 1/3
* 10s -> 1/6
 
if Frosty acts ''after'' Tux, recall the distribution from only Tux as a modifier. Now apply Frosty's mug and get:
* 7s -> 1/6
* 9s -> 1/3
* 10s -> 1/3
* 11s -> 1/6
 
==Disgorging and Pickpocketing==
for n items all with drop rate p:<br>
integrate over x: p*(1-p*x)^(n-1)<br>
gives: -((1-p*x)^n) / n<br>
evaluate 0 to 1 gives: -((1-p)^n) / n + 1/n<br>
simplifying: 1/n * (1 - (1 - p)^n)<br>
 
==Castle data==
it looks like you can expect:<br>
*+0% combats --> (75+0)/((75+0) + (25-0)*2/3) = 81.82% combats
*+5% combats --> (75+5)/((75+5) + (25-5)*2/3) = 85.71% combats
*+10% combats --> (75+10)/((75+10) + (25-10)*2/3) = 89.47% combats
*+15% combats --> (75+15)/((75+15) + (25-15)*2/3) = 93.10% combats
*+20% combats --> (75+20)/((75+20) + (25-20)*2/3) = 96.61% combats
*+25% combats --> (75+25)/((75+25) + (25-25)*2/3) = 100% combats

Latest revision as of 21:17, 21 August 2011

My main is RoyalTonberry.


Astral Consumable Comparison

Mouse over each cell to see the Average yield of the consumable, as well as the Adventures/Size of the Consumable.

Level Hot Dog
Adventures 		Hot Dog
Stat gains 		Pilsner
Adventures 		Pilsner
Stat gains 		Energy Drink
Adventures 		Adventures if you
consume all
at this level 		Stats if you
consume all
at this level
1-3 6 48-60 3 0-6 13-19 Hot Dog: 18, average 18.00
Pilsner: 18
Energy Drink: 39-57		 Hot Dog: 144-180, average 162.0
Pilsner: 0-36, average 18.00
4 8 64-80 4 0-8 15-21 Hot Dog: 24, average 24.00
Pilsner: 24
Energy Drink: 45-61		 Hot Dog: 192-240, average 216.0
Pilsner: 0-48, average 24.00
5 9-11 80-100 5 0-10 17-23 Hot Dog: 27-33, average 30.00
Pilsner: 30
Energy Drink: 51-69		 Hot Dog: 240-300, average 270.0
Pilsner: 0-60, average 30.00
6 11-13 96-120 6 0-12 19-25 Hot Dog: 33-39, average 36.00
Pilsner: 36
Energy Drink: 57-75		 Hot Dog: 288-360, average 324.0
Pilsner: 0-72, average 36.00
7 13-15 112-140 7 0-14 21-27 Hot Dog: 39-45, average 42.00
Pilsner: 42
Energy Drink: 63-81		 Hot Dog: 336-420, average 378.0
Pilsner: 0-84, average 42.00
8 15-17 128-160 8 0-16 23-29 Hot Dog: 45-51, average 48.00
Pilsner: 48
Energy Drink: 69-87		 Hot Dog: 384-480, average 432.0
Pilsner: 0-96, average 48.00
9 17-19 144-180 9 0-18 25-31 Hot Dog: 51-57, average 54.00
Pilsner: 54
Energy Drink: 75-93		 Hot Dog: 432-540, average 486.0
Pilsner: 0-108, average 54.00
10 18-22 160-200 10 0-20 27-33 Hot Dog: 54-66, average 60.00
Pilsner: 60
Energy Drink: 81-99		 Hot Dog: 480-600, average 540.0
Pilsner: 0-120, average 60.00
11+ 20-24 176-220 11 0-22 29-35 Hot Dog: 60-72, average 66.00
Pilsner: 66
Energy Drink: 87-105		 Hot Dog: 528-660, average 594.0
Pilsner: 0-132, average 66.00
  • At the same level, the Hot Dog is always 6x better Stats/Size than the Pilsner.
  • At the same level, the Pilsner is always 1.5x better Adventures/Size than the Hot Dog.
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