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'''Teching''' is the term used for researching Technological Advancements in order to gain any number of bonuses that affect your Dominion. Teching is often used for [[Converting]] strategies although can it also be utilized well by [[Explorers]], and occasionally by [[Attackers]]. By building [[Schools]], your Dominion will produce [[Production#Research Points|Research Points]] which can be traded in for a new tech once you have enough points. Teching is a slow strategy that enables your Dominion to have increased efficiency later in the round. It is very difficult to keep up with the top players if you decide to tech but by the end of the round, you should be able to grow more effectively than other Dominions around you that have not teched.  
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'''Teching''' is the term used for researching Technological Advancements in order to gain any number of bonuses that affect your Dominion. Teching is often used for [[Converting]] strategies although can it also be utilized well by [[Explorers]], and occasionally by [[Attackers]]. By building [[Schools]], your Dominion will produce [[Production#Research Points|Research Points]] which can be traded in for a new tech once you have enough points. Teching is a slow strategy that enables your Dominion to have increased efficiency later in the round. It is very difficult to keep up with the top players if you decide to tech but by the end of the round, you should be able to grow more effectively than other Dominions around you that have not teched. An important thing to note is that most techers will only research a handful of Techs and will then R/R their Schools to another building (often Diamond Mines or Homes).
  
Each day's [[Daily bonus|Daily Bonus]] provides 350 research points.
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Currently, every Dominion receives 750 Research Points daily, provided that they always take a daily platinum bonus. As such, they will receive a 'free' tech on days 13, 26, and 39 even if no Schools are built and no attacking is done.  
  
 
A Dominion's accumulated Techs can be viewed by casting [[Magic#Offensive Spells|Vision]] on someone.
 
A Dominion's accumulated Techs can be viewed by casting [[Magic#Offensive Spells|Vision]] on someone.
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Teching requires the construction of [[Schools]]. Schools produce research points based on their total percentage of land:
 
Teching requires the construction of [[Schools]]. Schools produce research points based on their total percentage of land:
  
  Schools produce (1 - (Schools / Total Land)) research points per hour (minimum of 0.5).
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  Schools produces 25 research points each hour per 1% owned, up to a maximum of 750 at 30% owned (limit 1 per acre).<br><br>Schools generate an additional 125 research points per 1% owned when invading targets at least 75% of your size, up to a maximum of 2500 at 20% owned (limit 5 per acre).
  
 
== The Techs ==
 
== The Techs ==
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|-
 
|-
 
| style="vertical-align: top;" | Trick of the Light
 
| style="vertical-align: top;" | Trick of the Light
| style="vertical-align: top;" | +1 Fool's Gold protects ore/lumber/mana
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| style="vertical-align: top;" | +1 Fool's Gold protects ore/lumber
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-20% Fool's Gold mana cost
 
| style="vertical-align: top;" | Ancient Mines
 
| style="vertical-align: top;" | Ancient Mines
  
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In order to unlock a tech other than one of the three entry points, at least one of its connecting techs in the tree must already be acquired.   
 
In order to unlock a tech other than one of the three entry points, at least one of its connecting techs in the tree must already be acquired.   
  
The base cost of each advancement is 2.5x highest land achieved and increases by 100 after each unlock (min 3750).
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The cost of each tech is determined by
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  9500 + (100 * CurrentTechs)
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where CurrentTechs is the number of techs the dominion has already acquired.  In other words, the cost of each new tech is 100 more research points than the previous tech's cost.
  
 
=== Invasion RPs ===
 
=== Invasion RPs ===
  
The number of research points (RP) gained during a successful invasion is based on the relative size of the target and any wonder or racial bonuses.
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The number of research points (RP) gained during a successful invasion is based on the day of the round, the attacker’s percentage of schools, the relative size of the target, and any wonder or racial bonuses.
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If the target is less than 60% the size of the attacker, no research points are gained.
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  Final RP<sub>t < 60%</sub> = 0
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If the target is 60% or greater, first the base RP gain is calculated as
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  BaseRP = Max (1000, DayOfRound / 0.03)
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When the target is greater than or equal to 60% and less than 75%, the base RP gain is halved.
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  RP<sub>60% ≤ t < 75%</sub> = BaseRP * 0.5
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  FinalRP<sub>60% ≤ t < 75%</sub> = RP<sub>60% ≤ t < 75%</sub> * (1 + WonderBonusPercentage) * (1 + RacialBonusPercentage)
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When the target is greater than or equal to 75%, the attacker's schools are taken into account before wonder and racial bonuses.  The following two formulas provide starting values:
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  BaseSchoolBonus = (125 * Min (SchoolPercentage, SchoolPercentageCap)) * 100
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where SchoolPercentage is the attacker's percentage and SchoolPercentageCap is 20%.
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  SchoolModifier = 1 – Min (0.75, Max (0, NumberOfRecentInvasions – 2) * 0.15)
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where NumberOfRecentInvasions is the number of times the target has been invaded in the last 72 hours, excluding when the target overwhelmed the attacker.
  
{| class="wikitable"
 
|+ Research Points Gained
 
|-
 
! Target Range !! RP
 
|-
 
| range < 60% || 0
 
|-
 
| 60% <= range < 75% || 375 OR 2.5x Land Conquered (whichever is higher)
 
|-
 
| range >= 75% || 750 OR 5x Land Conquered (whichever is higher)
 
|}
 
  
Wonder and racial bonuses will be added together before multiplying the research points gained to obtain the final value.
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The research points gained in the invasion is limited to 5x the attacker's land size and then added to the base production.
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  RP<sub>t ≥ 75%</sub> = BaseRP + Min (BaseSchoolBonus * SchoolModifier), (AttackersLand * 5))
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  FinalRP<sub>t ≥ 75%</sub> = RP<sub>t ≥ 75%</sub> * (1 + WonderBonusPercentage) * (1 + RacialBonusPercentage)
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Research points will arrive when the slowest unit sent on the invasion returns.
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FinalRP<sub>60% ≤ t < 75%</sub> and FinalRP<sub>t >= 75%</sub> are rounded to the nearest whole number and will return with the slowest unit sent on the invasion.

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