Difference between revisions of "Exploring, Construction & Building Formulas"

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==Exploration Costs==
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flag:delete
 +
 
 +
Deprecated. Already added content to the [[Explore]] and [[Growth]] pages.
 +
 
 +
<!---
 
===Soldier Cost===
 
===Soldier Cost===
  <b>Sol Costs for Exploration =</b> ROUND((CurrentAcres * 0.0065) * Race Mod * [[Relations#War|War Effect]])
+
  <b>Exploration Soldier Cost =</b> ''ROUND'' (3 + Metric/210 * War Status * Mills)
 
 
{{Mods}}
 
| '''[[Relations#War|War]]''' || 2 || 1
 
|-
 
| '''[[Race#Dark_Elves|Dark Elf]]''' || 1.2 || 1
 
|-
 
|}
 
  
 
===GC Costs===
 
===GC Costs===
  <b>GC Costs for Exploration =</b> ((Current Acres * 3) - 500) * [[Relations#War|War Mod]] * Race Mod * Mills Effect
+
  <b>Exploration Gold Cost =</b> ''Floor'' ((600 +  2.3 * Metric) * War Status * Mills)
 
 
{{Mods}}
 
| '''[[Relations#War|War]]''' || 2 || 1
 
|-
 
| '''[[Race#Dark_Elves|Dark Elf]]''' || 1.2 || 1
 
|-
 
|}
 
'''Notes'''
 
* ''Generally all cases prove to be accurate to within minus 0gc - 30gc (Calculated costs slightly overestimate).''
 
 
 
  
 +
where
  
 +
<b>Metric      =</b> ( Full Metric + Half Metric )<sup>1.12</sup>
 +
 +
<b>Full Metric  =</b> Total Land - 300
 +
 +
<b>Half Metric  =</b> ''MIN'' (Full Metric / 2 , [Land Explored - Land Lost] / 2)
 +
--->
 
==Construction==
 
==Construction==
 
===Construction Time===
 
===Construction Time===
  <b>Construction Time =</b> 22 * Personality Mod * Builders Boon * Double Speed * Fortified
+
  <b>Construction Time =</b> 16 * Racial Mod * Personality Mod * Builders Boon * Double Speed * Expedient Ritual Mod * Artisan Science Mod
  
 
{{Mods}}
 
{{Mods}}
| '''Pers: [[Personality#The_Shepherd|Shepherd]]''' || 0.7 || 1
+
| '''[[Mystics#Builders_Boon|Builders Boon]]''' || 0.75 || 1
 +
|-
 +
| '''Double Speed''' || 0.5 || 1
 
|-
 
|-
| '''[[Mystics#Builders_Boon|Builders Boon]]''' || 0.9 || 1
+
| '''Double Speed in Protection''' || 0.75 || 1  
 
|-
 
|-
| '''Double Speed''' || 0.5 || 1
+
| '''War''' || 0.75 || 1  
|''n.b. = 0.75 in prot''
 
 
|-
 
|-
| '''[[Dragons,_Aid_%26_Stances#Fortified|Fortified]]''' || 0.8 || 1
+
| '''[[Ritual|Expedient Ritual]]''' || 0.8 (if at 100% efficiency) || 1
 
|}
 
|}
  
 
===Construction Costs===
 
===Construction Costs===
  <b>Construction Costs =</b> Race Mod * Mills Mod * Double Speed * 8/31 * (Land + 2900)
+
  <b>Construction Costs =</b> 0.05*(land+10000) * Race Mod * Mills Mod * Double Speed * Expedient Ritual Mod * Artisan Science Mod
  
 
{{Mods}}
 
{{Mods}}
| '''Race: [[Race#Dwarves|Dwarf]]''' || 0 || 1
+
| '''Double Speed''' || 2 || 1
 
|-
 
|-
| '''Doublespeed''' || 2 || 1
+
| '''Race: Dwarf''' || 0.5 || 1
 +
|-
 +
| '''[[Ritual|Expedient Ritual]]''' || 0.75 (if at 100% efficiency) || 1
 
|}
 
|}
  
 
===Raze Costs===
 
===Raze Costs===
  <b>Raze Costs =</b> (1400 + Land) / 4 
+
  <b>Raze Costs =</b> (300+(0.05*land) * Artisan Science Mod
 
+
<!--
 +
{{Mods}}
 +
| '''Race: [[Race#Dwarves|Dwarf]]''' || 0.5 || 1
 +
|}
 +
-->
  
 
==Buildings==
 
==Buildings==
 
===Building Efficiency===
 
===Building Efficiency===
  <b>Building Efficiency =</b> [0.5 * (Peasants + (Prisoners/2))] / [((2*Total Jobs)/3) + 1) * Science + Race + Stance - Dragon]
+
  <b>Available Workers        = </b> Peasants + ''ROUNDDOWN'' ( Prisoners / 2 )
* '''NB.''' "Current Available Workers" given on the Internal Affairs Advisor page already takes the prisoners into account. So the number given there is "Peasants + Prisoners / 2".
+
* Workers Required for Maximum Effectiveness = 67% of Total Jobs filled
+
<b>Optimal Workers          = </b> ''ROUNDDOWN'' ( Total Jobs * 0.67 )
* Building Efficiency affects all [[Buildings#Classes_of_Buildings|Flat-Rate]] and [[Buildings#Classes_of_Buildings|Percentage-Based buildings]].
+
* Building Efficiency has '''NO''' effect on Capacity buildings as well as [[Buildings#Libraries|Libraries]].
+
<b>% Jobs Performed          = </b> ''MIN'' ( Available Workers / Optimal Workers '','' 1 )
 +
 +
<b>Building Efficiency      = </b> (0.5 * (1 + % Jobs Performed)) * Race * Personality * Tools Science * Dragon * Blizzard
  
 +
* The "Current Available Workers" value, provided by the Internal Affairs Adviser page, already takes prisoners into account.
 +
* Building Efficiency affects all [[Buildings#Classes_of_Buildings|Flat Rate]] and [[Buildings#Classes_of_Buildings|Percentage-Based]] buildings.
 +
* Building Efficiency has '''NO''' effect on Capacity component of Capacity Buildings as well as [[Buildings#Universities|Universities]].
  
<b>Rate of Change of Building Efficiency =</b> Formula
+
<!---<b>Building Efficiency Change Rate  = </b> Formula--->
* Changes in Building Efficiency takes effect gradually.
+
* Changes in Building Efficiency take effect gradually.
 
 
  
 
{{Mods}}
 
{{Mods}}
 
|-
 
|-
| '''Race: [[Race#Dwarves|Dwarf]]''' || 1.3 || 1  
+
| '''Race: Dwarf''' || 1.25 || 1  
 
|-
 
|-
| '''Stance: [[Dragons,_Aid_%26_Stances#Peaceful|Peaceful]]''' || 1.05 || 1  
+
| '''Dragon: [[Dragons#Topaz|Topaz]]''' || 0.75 || 1
 
|-
 
|-
| '''Dragon: [[Dragons#Gold|Gold]]''' || 0.8 || 1
+
| '''Spell: [[Mystics#Blizzard|Blizzard]]''' || 0.9 || 1  
 
|}
 
|}
  
===Effects of Buildings===
+
=== Building Effects ===
  <b>[[Buildings#Classes_of_Buildings|Percentage Based Buildings]] =</b> Base Effect * BE * % of building * (1 - % of building)
+
  <b>[[Buildings#Classes_of_Buildings|Percentage Based Buildings]] =</b> Base Effect * BE * MIN(50%, % of building * (1 + Race)) * (100% - MIN(50%, % of building * (1 + Race)))
<br>
+
  <b>[[Buildings#Classes_of_Buildings|Flat Rate Buildings]] =</b> Base Effect * (Number of Buildings * (1 + Race)) * BE  
  <b>[[Buildings#Classes_of_Buildings|Flat Rate Buildings]] =</b> Base Effect * Number of Buildings * BE * Monarchy Bonus * Science
+
* In general, the Max Effect of a %-Based Building is 25 x Base Effect (exceptions apply, refer to table)
* Max Effect of a %-Based Building is 25 x Base Effect.
+
* If your BE is less than 100%, the effect you would have with 50% of that building is the maximum.
* With a 100% Building Efficiency, this is equivalent to building 50% of that building.
+
* If you have less than 100% BE, additional buildings past 50% will have no effect.
 
 
 
 
{| width="100%" border="0" cellpadding="3px" cellspacing="2px"
 
|- align="center" bgcolor="#fffff" 
 
! width="10%" colspan="2" | '' ''
 
! bgcolor="#9aa98e"  width="100%" colspan="4" | '''Building Type'''
 
|- align="center" bgcolor="#ffffff"
 
! width="10%" |
 
! width="30%" |
 
! width="20%" bgcolor="#f7c794" | '''Capacity'''
 
! width="10%" bgcolor="#c0f794" | '''Flat Rate'''
 
! bgcolor="#eda3e9" width="10% colspan="2" | '''Percentage Based'''
 
|- bgcolor="#ffffff"  cellpadding="3px" cellspacing="2px" valign="top"
 
! bgcolor="#9aa98e" | '''Building'''
 
! bgcolor="#9aa98e" | '''Description'''
 
|
 
! bgcolor="#cff6b0" | <div align="center">'''Base'''</div>
 
! bgcolor="#f3c1f0" width="7%" colspan="1" | <div align="center">'''Base'''</div>
 
! bgcolor="#f3c1f0" width="7%" colspan="1" | '''Max'''
 
! bgcolor="#9aa98e" | '''Living Space'''
 
! bgcolor="#9aa98e" | '''Jobs'''
 
|-
 
!bgcolor="#c5ccc0" |'''[[Buildings#Barren_Lands|Barren Land]]'''
 
| Houses 15 people & Produces 2 bushels per hour
 
| <div align="center">15 pop</div>
 
| <div align="center">2 Bushels</div>
 
|
 
|
 
| <div align="center">15</div>
 
| <div align="center">0</div>
 
|-
 
!bgcolor="#c5ccc0" |'''[[Buildings#Homes|Homes]]'''
 
| Houses 15 people
 
 
 
Increases Birth Rate
 
| <div align="center">10 ([[Race#Gnomes|Gnome]]), 8 (Others)</div>
 
|
 
| <div align="center">4%</div>
 
| <div align="center">100%</div>
 
| <div align="center">35 ([[Race#Gnomes|Gnomes]]), 33 (Others)</div>
 
| <div align="center">0</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Stables|Stables]]'''
 
| Houses horses and increase their production rate
 
| <div align="center">60 Horses</div>
 
| <div align="center">1 Horse/hr</div>
 
|
 
| <div align="center"></div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Dungeons|Dungeons]]'''
 
| Houses Prisoners of War
 
| <div align="center">20 Prisoners</div>
 
|
 
|
 
|
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Forts|Forts]]'''
 
| Increases Defensive Military Efficiency
 
|
 
|
 
| <div align="center">1.5%</div>
 
| <div align="center">37.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Guard_Stations|Guardstations]]'''
 
| Decrease Resource Losses when Attacked
 
|
 
|
 
| <div align="center">2%</div>
 
| <div align="center">50%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Barracks|Barracks]]'''
 
| Lowers Attack Time
 
|
 
|
 
| <div align="center">1.5%</div>
 
| <div align="center">37.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Hospitals|Hospitals]]'''
 
| Daily Chance of Curing [[the Plague]]<br>Decreases Military Losses
 
|
 
|
 
| <div align="center">2%<br>3%</div>
 
| <div align="center">50%<br>75%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Guilds|Guilds]]'''
 
| Wizards Trained per day
 
|
 
|
 
| <div align="center">2%</div>
 
| <div align="center">50%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Libraries|Libraries]]'''
 
| Increase in Science Effect (Unaffected by BE)
 
| <div align="center">2%</div>
 
|
 
|
 
|
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Thieves'_Dens|Thieves Dens]]'''
 
| Lowers losses in Thievery Operations<br>Bonus to TPA
 
|
 
|
 
| <div align="center">4%<br>3%</div>
 
| <div align="center">100%<br>75%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Watchtowers|Watchtowers]]'''
 
| Chance of Catching Enemy Thieves<br>Decrease in Thievery Damage
 
|
 
|
 
| <div align="center">2%<br>3%</div>
 
| <div align="center">50%<br>75%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Schools|Schools]]'''
 
| Decrease in Science Costs<br>Protection of Books from Learns
 
|
 
|
 
| <div align="center">1.5%<br>3.5%</div>
 
| <div align="center">37.5%<br>87.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Training_Grounds|Training Grounds]]'''
 
| Increases [[Offensive Military Efficiency]]
 
|
 
|
 
| <div align="center">1.5%</div>
 
| <div align="center">37.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Mills|Mills]]'''
 
| Decreases [[Exploring,_Construction_%26_Building_Formulas#Construction_Costs|Build Costs]] (Max of 99%)<br>Decreases [[Exploring,_Construction_%26_Building_Formulas#Exploration_Costs|Exploration Costs]]
 
|
 
|
 
| <div align="center">4%<br>3%</div>
 
| <div align="center">99%<br>75%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Banks|Banks]]'''
 
| Produces $25 per day<br>Increase in Income
 
| <div align="center">$25 / hour</div>
 
|
 
| <br><div align="center">1.5%</div>
 
| <br><div align="center">37.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Armouries|Armouries]]'''
 
| Decreases Draft Costs<br>Reduction of Wages<br>Decreases Training Costs
 
|
 
|
 
| <div align="center">2%<br>2%<br>1.5%</div>
 
| <div align="center">50%<br>50%<br>37.5%</div>
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Towers|Towers]]'''
 
| Produces 12 runes per day
 
|
 
| 12 Runes / hour
 
|
 
|
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-
 
! bgcolor="#c5ccc0" |'''[[Buildings#Farms|Farms]]'''
 
| Produces 70 bushels per day
 
|
 
| 70 Bushels / hour
 
|
 
|
 
| <div align="center">25</div>
 
| <div align="center">25</div>
 
|-|}
 
  
 +
==Related Links:==
  
 +
{{Guide navigation}}
 +
{{Buildings}}
  
 
[[Category:Formulas]]
 
[[Category:Formulas]]

Latest revision as of 15:51, 4 March 2024

flag:delete

Deprecated. Already added content to the Explore and Growth pages.

Construction

Construction Time

Construction Time = 16 * Racial Mod * Personality Mod * Builders Boon * Double Speed * Expedient Ritual Mod * Artisan Science Mod
Modifier Type Active Otherwise
Builders Boon 0.75 1
Double Speed 0.5 1
Double Speed in Protection 0.75 1
War 0.75 1
Expedient Ritual 0.8 (if at 100% efficiency) 1

Construction Costs

Construction Costs = 0.05*(land+10000) * Race Mod * Mills Mod * Double Speed * Expedient Ritual Mod * Artisan Science Mod
Modifier Type Active Otherwise
Double Speed 2 1
Race: Dwarf 0.5 1
Expedient Ritual 0.75 (if at 100% efficiency) 1

Raze Costs

Raze Costs = (300+(0.05*land) * Artisan Science Mod

Buildings

Building Efficiency

Available Workers         =  Peasants + ROUNDDOWN ( Prisoners / 2 )

Optimal Workers           =  ROUNDDOWN ( Total Jobs * 0.67 )

% Jobs Performed          =  MIN ( Available Workers / Optimal Workers , 1 )

Building Efficiency       =  (0.5 * (1 + % Jobs Performed)) * Race * Personality * Tools Science * Dragon * Blizzard
  • The "Current Available Workers" value, provided by the Internal Affairs Adviser page, already takes prisoners into account.
  • Building Efficiency affects all Flat Rate and Percentage-Based buildings.
  • Building Efficiency has NO effect on Capacity component of Capacity Buildings as well as Universities.
  • Changes in Building Efficiency take effect gradually.
Modifier Type Active Otherwise
Race: Dwarf 1.25 1
Dragon: Topaz 0.75 1
Spell: Blizzard 0.9 1

Building Effects

Percentage Based Buildings = Base Effect * BE * MIN(50%, % of building * (1 + Race)) * (100% - MIN(50%, % of building * (1 + Race)))
Flat Rate Buildings = Base Effect * (Number of Buildings * (1 + Race)) * BE 
  • In general, the Max Effect of a %-Based Building is 25 x Base Effect (exceptions apply, refer to table)
  • If your BE is less than 100%, the effect you would have with 50% of that building is the maximum.
  • If you have less than 100% BE, additional buildings past 50% will have no effect.

Related Links:

The Utopia Guide
Introduction Getting Started with Utopia  • Creating a province  • Race & Personality
The Menus Throne  • Kingdom  • News

Explore  • Growth  • Science  • Military

Mystics  • Thievery  • War Room • Aid  • Dragon  • Ritual  • Stances

Mail & Forums

Politics  • Relations  • Rankings  • Preferences

Advanced MunkBot  • Invitations  • Reservations  • Utopia  • Province  • World of Legends  • Formulas
Rules Game Rules
Buildings
Civil Buildings Barren Lands  • Homes  • Farms  • Mills  • Banks
Military Buildings Training Grounds  • Armouries  • Barracks  • Forts  • Guard Stations  • Hospitals  • Stables  • Dungeons
Thievery and Mystic Buildings Guilds  • Towers  • Thieves' Dens  • Watchtowers
Science Buildings Universities  • Libraries