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

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==Exploration Costs==
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 +
Deprecated. Already added content to the [[Explore]] and [[Growth]] pages.
 +
 
 +
<!---
 
===Soldier Cost===
 
===Soldier Cost===
−
  <b>Exploration Soldier Cost =</b> ( 3 + (1/210 * Metric)) * Race * Personality * Stance
+
  <b>Exploration Soldier Cost =</b> ''ROUND'' (3 + Metric/210 * War Status * Mills)
  
 
===GC Costs===
 
===GC Costs===
−
  <b>Exploration Gold Cost =</b> ( 600 + (2.3 * Metric)) * Race * Personality * Stance * Mills
+
  <b>Exploration Gold Cost =</b> ''Floor'' ((600 + 2.3 * Metric) * War Status * Mills)
  
 
where
 
where
  
−
  <b>Metric                         =</b> ( Full Metric + Half Metric )<sup>1.12</sup>
+
  <b>Metric       =</b> ( Full Metric + Half Metric )<sup>1.12</sup>
−
 
−
<b>Full Metric </b>(for Soldier cost) = Total Land * 1/210
 
 
   
 
   
−
  <b>Full Metric </b>(for Gold Cost)    = Total Land * 2/3
+
  <b>Full Metric =</b> Total Land - 300
 
   
 
   
−
  <b>Half Metric                   = </b> ''MIN'' ( Full Metric / 2 , (Land explored - Land lost) / 2 )
+
  <b>Half Metric =</b> ''MIN'' (Full Metric / 2 , [Land Explored - Land Lost] / 2)
−
 
+
--->
 
==Construction==
 
==Construction==
 
===Construction Time===
 
===Construction Time===
−
  <b>Construction Time =</b> 16 * 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
−
|-
 
−
| '''[[Mystics#Builders_Boon|Builders Boon]]''' || 0.9 || 1
 
 
|-
 
|-
 
| '''Double Speed''' || 0.5 || 1
 
| '''Double Speed''' || 0.5 || 1
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| '''Double Speed in Protection''' || 0.75 || 1  
 
| '''Double Speed in Protection''' || 0.75 || 1  
 
|-
 
|-
−
| '''[[Dragons,_Aid_%26_Stances#Fortified|Fortified]]''' || 0.8 || 1
+
| '''War''' || 0.75 || 1
 +
|-
 +
| '''[[Ritual|Expedient Ritual]]''' || 0.8 (if at 100% efficiency) || 1
 
|}
 
|}
−
 
  
 
===Construction Costs===
 
===Construction Costs===
−
  <b>Construction Costs =</b> Race Mod * Personality Mod * Mills Mod * Double Speed * (1 + (land - 200) / 12400)
+
  <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
 
|-
 
|-
−
| '''Pers: [[Personality#The_Shepherd|Shepherd]]''' || 0.7 || 1
+
| '''Race: Dwarf''' || 0.5 || 1
 
|-
 
|-
−
| '''Double Speed''' || 2 || 1
+
| '''[[Ritual|Expedient Ritual]]''' || 0.75 (if at 100% efficiency) || 1
 
|}
 
|}
  
 
===Raze Costs===
 
===Raze Costs===
−
  <b>Raze Costs =</b> 350 + (0.0625*total land)
+
  <b>Raze Costs =</b> (300+(0.05*land) * Artisan Science Mod
 +
<!--
 +
{{Mods}}
 +
| '''Race: [[Race#Dwarves|Dwarf]]''' || 0.5 || 1
 +
|}
 +
-->
  
 
==Buildings==
 
==Buildings==
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  <b>Optimal Workers          = </b> ''ROUNDDOWN'' ( Total Jobs * 0.67 )
 
  <b>Optimal Workers          = </b> ''ROUNDDOWN'' ( Total Jobs * 0.67 )
 
   
 
   
−
  % <b>Jobs Performed          = </b> ''MIN'' ( Available Workers / Optimal Workers '','' 1 )
+
  <b>% Jobs Performed          = </b> ''MIN'' ( Available Workers / Optimal Workers '','' 1 )
 
   
 
   
−
  <b>Building Efficiency      = </b> [ (0.5 * (1 + % Jobs Performed)+ Race) * Stance * Science * Dragon ]  + Personality
+
  <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.
 
* 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 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]].
+
* Building Efficiency has '''NO''' effect on Capacity component of Capacity Buildings as well as [[Buildings#Universities|Universities]].
  
−
 
+
<!---<b>Building Efficiency Change Rate  = </b> Formula--->
−
<b>Building Efficiency Change Rate  = </b> Formula
 
 
* Changes in Building Efficiency take effect gradually.
 
* Changes in Building Efficiency take effect gradually.
−
 
  
 
{{Mods}}
 
{{Mods}}
 
|-
 
|-
−
| '''Race: [[Race#Dwarves|Dwarf]]''' || 0.2 || 0
+
| '''Race: Dwarf''' || 1.25 || 1
 
|-
 
|-
−
| '''Stance: [[Dragons,_Aid_%26_Stances#Peaceful|Fortified]]''' || 1.20 || 1  
+
| '''Dragon: [[Dragons#Topaz|Topaz]]''' || 0.75 || 1
 
|-
 
|-
−
| '''Dragon: [[Dragons#Gold|Gold]]''' || 0.75 || 1
+
| '''Spell: [[Mystics#Blizzard|Blizzard]]''' || 0.9 || 1  
 
|}
 
|}
  
 
=== Building Effects ===
 
=== Building Effects ===
−
  <b>[[Buildings#Classes_of_Buildings|Percentage Based Buildings]] =</b> Base Effect * BE * % of building * (100% - % 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.
−
 
 
−
 
 
−
 
 
−
== Build Table ==
 
−
{| class="wikitable sortable" {{GreenTable}}
 
−
|- {{DarkGreenRow}}
 
−
! Building !! Capacity !! width="75px"|Flat Rate Base !! width="75px"|Percent Base Effect !! width="75px"|Percent Max !! width="75px"|Living Space !! Jobs !! class="unsortable"|Description
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Barren Lands
 
−
| 15 People
 
−
| 2 Bushels
 
−
|
 
−
|
 
−
| 15
 
−
| 0
 
−
| align="left"|Houses 15 people and Produces 2 bushels per hour (Unaffected by BE)
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Homes
 
−
| 8 People
 
−
|
 
−
| 4%
 
−
| 100%
 
−
| 33
 
−
| 0
 
−
| align="left"|Houses 33 people and Increases Birth Rate
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Stables
 
−
| 60 Horses
 
−
| 1 Horse
 
−
|
 
−
|
 
−
| 25
 
−
| 25
 
−
| align="left"|Houses horses and increase their production rate
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Dungeons
 
−
| 20 Prisoners
 
−
|
 
−
|
 
−
|
 
−
| 25
 
−
| 25
 
−
| align="left"|Houses Prisoners of War
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Forts
 
−
|
 
−
|
 
−
| 1.5%
 
−
| 37.5%
 
−
| 25
 
−
| 25
 
−
| align="left"|Increases Defensive Military Efficiency
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Guard Stations
 
−
|
 
−
|
 
−
| 2%
 
−
| 50%
 
−
| 25
 
−
| 25
 
−
| align="left"|Decrease Resource Losses when Attacked
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Barracks
 
−
|
 
−
|
 
−
| 1.5%
 
−
| 37.5%
 
−
| 25
 
−
| 25
 
−
| align="left"|Lowers Attack Time
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Hospitals
 
−
|
 
−
|
 
−
| 2%<br>3%
 
−
| 50%<br>75%
 
−
| 25
 
−
| 25
 
−
| align="left"|Daily Chance of Curing [[the Plague]]<br>Decreases Military Losses
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Guilds
 
−
|
 
−
| 0.02 Wizards
 
−
|
 
−
|
 
−
| 25
 
−
| 25
 
−
| align="left"|Wizards Trained per day<br>
 
−
Guilds also increase [[spells|spell]] duration
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Libraries
 
−
|
 
−
|
 
−
| 2%
 
−
| 50%
 
−
| 25
 
−
| 25
 
−
| align="left"|Increase in Science Effect (Unaffected by BE)
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Thieves Dens
 
−
|
 
−
|
 
−
| 4%<br>3%
 
−
| 95%<br>75%
 
−
| 25
 
−
| 25
 
−
| align="left"|Lowers losses in Thievery Operations<br>Bonus to TPA
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Watchtowers
 
−
|
 
−
|
 
−
| 2%<br>3%
 
−
| 50%<br>75%
 
−
| 25
 
−
| 25
 
−
| align="left"|Chance of Catching Enemy Thieves<br>Rate of Repelling Individual Enemy Thieves
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Schools
 
−
|
 
−
|
 
−
| 1.5%<br>3.5%
 
−
| 37.5%<br>87.5%
 
−
| 25
 
−
| 25
 
−
| align="left"|Decrease in Science Costs<br>Protection of Books from Learns
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Training Grounds
 
−
|
 
−
|
 
−
| 1.5%
 
−
| 37.5%
 
−
| 25
 
−
| 25
 
−
| align="left"|Increases [[Offensive Military Efficiency]]
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Mills
 
−
|
 
−
|
 
−
| 4%<br>3%
 
−
| 99%<br>75%
 
−
| 25
 
−
| 25
 
−
| align="left"|Decreases [[Exploring,_Construction_%26_Building_Formulas#Construction_Costs|Build Costs]] (Max of 99%)<br>Decreases [[Exploring,_Construction_%26_Building_Formulas#Exploration_Costs|Exploration Costs]]
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Banks
 
−
|
 
−
| 25gc
 
−
| <br>1.25%
 
−
| <br>31.25%
 
−
| 25
 
−
| 25
 
−
| align="left"|Produces 25gc per day<br>Increase in Income
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Armouries
 
−
|
 
−
|
 
−
| 2%<br>2%<br>1.5%
 
−
| 50%<br>50%<br>37.5%
 
−
| 25
 
−
| 25
 
−
| align="left"|Decreases Draft Costs<br>Reduction of Wages<br>Decreases Training Costs
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Towers
 
−
|
 
−
| 12 Runes
 
−
|
 
−
|
 
−
| 25
 
−
| 25
 
−
| align="left"|Produces 12 runes per day
 
−
 
 
−
|- bgcolor=#f9fafb
 
−
! {{LightGreenCell}}|Farms
 
−
|
 
−
| 70 Bushels
 
−
|
 
−
|
 
−
| 25
 
−
| 25
 
−
| align="left"|Produces 70 bushels per day
 
−
 
 
−
|-class="sortbottom" {{DarkGreenRow}}
 
−
! Building !! Capacity !! Flat Rate Base !! Percent Min !! Percent Max !! Living Space !! Jobs !! Description
 
−
|}
 
−
 
 
−
 
 
  
 
==Related Links:==
 
==Related Links:==
  
 +
{{Guide navigation}}
 +
{{Buildings}}
  
−
{{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
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