Elf

In-game description:
Elves are masters of efficiency and expertise, taking the best results from every single action. Affiliating yourself with the Elves faction will dramatically boost your clicking rewards while forsaking passive production.

The Elf Faction

Part of the original Good Vanilla Factions, the Elves characteristic is about Clicking and finding Faction Coins. They are specially helpful at low gem ranges, and getting the early Click and Faction Coin trophies series. Their Sun Blessing spell upgrade will relieve you from the necessity of manual clicking, and let you aim for the Click Trophies series while idling.

• Alignment: Good
• Leges: Balance
• Faction Spell: Moon Blessing : Increases the production of all buildings based on the total amount of clicks for 20 seconds.Formula: $1.75\times \ln(1+x)^{3.1}\%$  where x is your Treasure Clicks (Total) stat.
• Spell Upgrade: Sun Blessing - Moon Blessing auto-clicks 15 times per second.
  • Unlock requirement: Cast Moon Blessing between 6 am and 12 pm.
• Heritage: Increase your chance to find Faction Coins by 5%, and increase your click reward based on your Faction Coins find chance.Formula: ${\frac {x}{2}}\%$  where x is your Faction Coin find chance.
• Advanced Heritage: Multiplicatively increase Faction Coin find chance based on the amount of clicks made in this Reincarnation.Formula: $0.3\times \ln(1+x)^{1.5}\%$  where x is your Treasure Clicks (This Reincarnation) stat.
• Bloodline: Increase the chance to find Faction Coins based on Faction Coins found in this game and autoclick 3 times per second. Autoclicks made this way benefit from a 100 times higher clicking reward and Faction Coin find chance. Formula: $\left\lfloor 15 \times \ln(1 + x)^{1.75}\right\rfloor$  where x is the amount of Faction Coins found in this game.
• Challenge Reward: Star Blessing - Automatic clicks from Sun Blessing have an additional 5% chance to trigger Elven Luck, gaining coins equal to 250000% of your production and gathering 1000 random faction coins.
• Research Building: Elven Training Grounds (from Warrior Barracks)
• Research Facility: Craftsmanship
• Leges Building: Arboreal City (from Citadels)
• Faction Unlock Requirements: None (All Vanilla Factions are enabled by default)

Tier 1 Upgrades

Name		Cost	Effect
	Elven Trade Treaty	20 Elven Coins	Unlocks Elven Upgrades.
	Elven Mint	50 M 5E7	The base chance to find Faction Coins is increased by a multiplicative 150%.
	Elven Treasure Casing	500 M 5E8	Increase base clicking reward by 12.68M per trophy, and increase chance to find faction coins based on the amount of trophies you unlocked. Formula: $\left\lfloor \left(1+0.1\times x\right)^{0.95}\right\rfloor$  where x is your Trophies Unlocked stat.
	Ancient Clicking Arts	5 B 5E9	Increase Mana Regeneration based on the amount of clicks made in this Reincarnation. Formula: $2\times \log _{10}(1+x)^{1.25}$ where x is the amount of click made in this Reincarnation.

Tier 2 Upgrades

Name		Cost	Effect
	Elven Friendship Pact	100 Elven Coins	Unlocks more Elven Upgrades.
	Elven Emissary	500 B 5E11	Increase clicking reward based on the amount of Good buildings you own, and assistants find 3 times as many Faction Coins. Formula: $x^{0.6}\%$  where x is the number of Good Buildings you own.
	Elven Efficiency	5 T 5E12	Increase Royal Exchange bonus based on Faction coins found in this game. Formula: $(2\times \ln(1+x)^{2})\%$ where x is the number of Faction coins found this game.
	Secret Clicking Techniques	50 T 5E13	Increases the production of all buildings based on your amount of clicks made in this Reincarnation. Formula: $(2\times x^{0.4})\%$

Tier 3 Upgrades

Name		Cost	Effect
	Elven Alliance	500 Elven Coins	Unlocks more Elven Upgrades.
	Elven Diplomacy	5 Qa 5E15	Clicks count more based on Faction Coins found in this game. Formula: $(2\times \ln(1+x)^{2})\%$ where x is the number of Faction coins found this game. Note: This only affects the profits from the clicks. Productive Clicks in stats will only increase by 1 per click regardless of the bonus from this upgrade. Researches needing clicks such as C135 are not easier to unlock using this upgrade.
	Elven Luck	50 Qa 5E16	Each time you click you have a 1% chance to gain coins equal to 250000% of your production, also generating $(R + 1) * x$ random faction coins, where x is FC chance.
	Sylvan Treasure Frills	500 Qa 5E17	Additively increase clicking by 50% of your building production.

Unique Buildings

At R16, the Elves' Warrior Barracks building can be upgraded to a Unique Building: Elven Training Grounds, which is required for some challenges and research quests.

At R100, the Elves' Citadels can be upgraded to a Unique Building: Arboreal Cities, which when bought will grant access to the Faction Union upgrade.

Elven Research

Upon reaching R16, the game advisor tells us that the Vanilla factions have gained tremendous power. Their power can be ours if we get ready and seek them again.

To unlock Elven research, play the Elf faction and simply follow the appearing quests (Do not prestige). These can be done in separate game plays.

Elven Research Requirements
Name		In-game Description	Requirements	Cost
	Elven Training Grounds Quest	Hello, mellonamin. We require a new place to train our soldiers. Build enough Warrior Barracks, and we'll make them worthy of you. Required once throughout the entire game play and does not count towards the bought upgrade stat.	R16 + 1750 Warrior Barracks	10 Dtg (1E100)
	Elven Training Grounds	Upgrade Warrior Barracks To Elven Training Grounds, boosting their production based on the total amount of clicks you made and unlocking more unique perks for the building. Formula: $\left(\left(50\times x^{0.85}\right)+50\times ln^{6}\left(1+x\right)\right)\%$  where x is your Treasure Clicks (Total) stat.	Buy Elven Training Grounds Quest	10 Ttg (1E103)
	Carpentry	Unlocks the Craftsmanship research facility and increases Elven production by 100000%, plus an additional bonus based on Craftsmanship research points. Required once throughout the entire game play and does not count towards the bought upgrade stat.	All Elven faction upgrades bought, Elven Training Grounds	10 Notg (1E121) coins, 1 M (1E6) Elven coins
Trophy & Upgrade
	Artisan	Increase Craftsmanship upgrade slot by 1	R19+, Discover at least 10 Craftsmanship Researches	250 Noqag (2.5E152)

Elf Leges

Upon reaching R100, the Proof of Balance will become available, which provides a quest for an additional unique building, which when bought will grant access to the its Union upgrade.

Elf Leges Requirements
Name		Type	Description	Requirement	Cost
	Arboreal City Quest	Quest Upgrade	Grants access to Unique Building.	100 Sx (1E23) Elf Faction Coins found	1 Ud 1E36
	Arboreal City	Allegiances Upgrades	Upgrade Citadels to Arboreal Cities, boosting their production based on Faction Coin find chance and unlocking more unique perks for the building. Formula: $\left\lfloor 20 \times \left(\log_{10}\left(1+x\right)\right)^2\right\rfloor$  where x is FC chance. +Access to the Faction Union.	Arboreal City Quest	1 Td 1E42
	Elven Union	Faction Union	Grants access to Union Upgrade.	Arboreal City Unique Building	1 Qi (1E18) Elven Coins
	Wooden Dice	Union Upgrade	Increase Elven Luck chance to activate and its effects based on the amount of Arboreal Cities you own. Elven Luck Formula: $x^{0.3}$ Production Formula: $32 \times x^{0.8}$ Faction Coin Formula: $3 \times x^{0.75}$ x is the number of Arboreal Cities you own.	Elven Union	1 Nod 1E60