Arc 1.9 Calculator

Optimize your Great Building leveling in Forge of Empires with the 1.9 contribution strategy.

Arc 1.9 Contribution Calculator

Detailed Contribution Breakdown (P1-P5)

Spot	Reward (%)	FP Reward	Min. Contribution (FPs)	Contributor Profit (FPs)
P1	20%	0	0	0
P2	10%	0	0	0
P3	5%	0	0	0
P4	4%	0	0	0
P5	3%	0	0	0

What is the Arc 1.9 Calculator?

The Arc 1.9 Calculator is an essential tool for players of Forge of Empires (FoE) who utilize the “1.9 contribution strategy” to efficiently level up their Great Buildings (GBs). In FoE, Great Buildings provide significant bonuses, but leveling them up requires a substantial investment of Forge Points (FPs). The 1.9 strategy is a community-driven method designed to make GB leveling faster and more cost-effective by attracting external contributions.

At its core, the 1.9 strategy revolves around the Great Building called “The Arc.” When an Arc reaches level 80, it provides a 90% bonus to the rewards (blueprints, medals, FPs) received by players who contribute FPs to other players’ GBs. This means if a player contributes 100 FPs to a GB, and they secure a reward spot, they will receive 190 FPs worth of rewards (100 FPs + 90% bonus). This 1.9x return makes contributing to GBs a profitable venture for players with a Level 80 Arc.

The Arc 1.9 Calculator helps GB owners determine the precise amount of FPs that external contributors (P1, P2, P3, P4, P5) should place to secure their reward spots, ensuring they get their 1.9x return, while minimizing the owner’s final cost. It streamlines the process of filling GB levels, making it a win-win for both the owner and the contributors.

Who Should Use the Arc 1.9 Calculator?

• Great Building Owners: Players who want to level up their GBs quickly and cost-effectively by attracting contributions from other players.
• Arc Owners (Level 80+): Players who want to contribute to other GBs for profit, ensuring they get their 1.9x return on investment.
• Guild Leaders: To facilitate efficient GB leveling within their guild, ensuring fair and profitable trades.
• Newer Players: To understand the mechanics of advanced GB leveling strategies and plan their Arc progression.

Common Misconceptions about the Arc 1.9 Strategy

• It’s a fixed 1.9 return for everyone: The 1.9 return is specific to the contributor’s perspective when the GB owner has a Level 80 Arc. The owner’s Arc bonus is what enables this return.
• It means the owner pays 1.9x less: No, the owner still pays the remaining FPs after external contributions. The strategy helps fill spots, not necessarily reduce the total FP cost of the GB itself.
• It’s only for high-level players: While a Level 80 Arc is crucial for the 1.9 return, players of all levels can benefit from understanding and participating in 1.9 groups, either as owners or contributors.
• It’s a game exploit: The 1.9 strategy is a legitimate, community-developed meta-game strategy that leverages existing game mechanics.

Arc 1.9 Calculator Formula and Mathematical Explanation

The core of the Arc 1.9 Calculator lies in ensuring that contributors receive a 1.9x return on their Forge Point investment for securing a reward spot. This is achieved by calculating the minimum contribution required for each spot based on the total FPs needed for the level and the owner’s Arc bonus.

Step-by-Step Derivation:

1. Determine Total FPs for the Level: This is the total number of Forge Points required to complete the current GB level. Let’s call this `TotalFPs`.
2. Identify Reward Percentages: Forge of Empires assigns fixed reward percentages for the top 5 contributors (P1-P5) to a Great Building. These are:
   • P1 (1st Place): 20% of `TotalFPs`
   • P2 (2nd Place): 10% of `TotalFPs`
   • P3 (3rd Place): 5% of `TotalFPs`
   • P4 (4th Place): 4% of `TotalFPs`
   • P5 (5th Place): 3% of `TotalFPs`
3. Calculate Raw FP Reward for Each Spot: For each spot `i`, the raw FP reward is `Reward_i = TotalFPs * RewardPercentage_i`.
4. Determine Effective Return Rate: This is derived from the owner’s Arc bonus. If the owner’s Arc provides an `ArcBonusPercentage` (e.g., 90% for Level 80), the effective return rate for contributors is `ReturnRate = 1 + (ArcBonusPercentage / 100)`. For a Level 80 Arc, this is `1 + (90 / 100) = 1.9`.
5. Calculate Minimum Contribution for Each Spot: To ensure a contributor receives `ReturnRate` times their contribution in value, their contribution must be `Contribution_i = Reward_i / ReturnRate`. This is the minimum amount they need to put in to secure the spot and get their desired return.
6. Calculate Contributor Profit: The profit for each contributor is simply `Profit_i = Reward_i – Contribution_i`. This represents the “free” FPs they gain by participating.
7. Calculate Total External Contributions: Sum of all `Contribution_i` from P1 to P5. `TotalExternalContributions = Contribution_P1 + … + Contribution_P5`.
8. Calculate Owner’s Final Contribution: The GB owner is responsible for covering the remaining FPs after all external contributions. `OwnerFinalContribution = TotalFPs – TotalExternalContributions`.

Variables Table:

Key Variables in Arc 1.9 Calculation

Variable	Meaning	Unit	Typical Range
TotalFPs	Total Forge Points needed for the GB level	FPs	100 – 1,000,000+
ArcBonusPercentage	Bonus percentage from the owner’s Arc GB	%	0 – 190 (90 for Lvl 80 Arc)
RewardPercentage_i	Fixed reward percentage for spot i (P1-P5)	%	3% – 20%
ReturnRate	Effective multiplier for contributor rewards	x	1.0 – 2.9 (1.9 is standard)
Contribution_i	Minimum FPs for contributor i to secure spot	FPs	Varies
OwnerFinalContribution	FPs the GB owner must contribute to finish the level	FPs	Varies

Practical Examples (Real-World Use Cases)

Example 1: Leveling a High-Cost GB

Let’s say you are leveling your Zeus to a higher level, and it requires a significant amount of Forge Points.

• Total FPs Needed for Next GB Level: 5,000 FPs
• Your Arc Bonus Percentage: 90% (You have a Level 80 Arc)

Using the Arc 1.9 Calculator:

• Effective Return Rate: 1.9x
• P1 (20%): Reward = 1,000 FPs. Min. Contribution = 1,000 / 1.9 = 526.32 FPs. Profit = 473.68 FPs.
• P2 (10%): Reward = 500 FPs. Min. Contribution = 500 / 1.9 = 263.16 FPs. Profit = 236.84 FPs.
• P3 (5%): Reward = 250 FPs. Min. Contribution = 250 / 1.9 = 131.58 FPs. Profit = 118.42 FPs.
• P4 (4%): Reward = 200 FPs. Min. Contribution = 200 / 1.9 = 105.26 FPs. Profit = 94.74 FPs.
• P5 (3%): Reward = 150 FPs. Min. Contribution = 150 / 1.9 = 78.95 FPs. Profit = 71.05 FPs.

Total External Contributions: 526.32 + 263.16 + 131.58 + 105.26 + 78.95 = 1,105.27 FPs

Owner’s Final Contribution: 5,000 – 1,105.27 = 3,894.73 FPs

Interpretation: You, as the owner, need to contribute 3,894.73 FPs. The remaining 1,105.27 FPs will be covered by other players who are looking to profit from their Arc. This significantly reduces your direct FP cost for the level.

Example 2: Leveling a Lower-Cost GB with a Different Arc Level

Imagine you’re leveling a Lighthouse, and your Arc isn’t yet at Level 80.

• Total FPs Needed for Next GB Level: 800 FPs
• Your Arc Bonus Percentage: 60% (You have a Level 60 Arc)

Using the Arc 1.9 Calculator:

• Effective Return Rate: 1 + (60 / 100) = 1.6x
• P1 (20%): Reward = 160 FPs. Min. Contribution = 160 / 1.6 = 100 FPs. Profit = 60 FPs.
• P2 (10%): Reward = 80 FPs. Min. Contribution = 80 / 1.6 = 50 FPs. Profit = 30 FPs.
• P3 (5%): Reward = 40 FPs. Min. Contribution = 40 / 1.6 = 25 FPs. Profit = 15 FPs.
• P4 (4%): Reward = 32 FPs. Min. Contribution = 32 / 1.6 = 20 FPs. Profit = 12 FPs.
• P5 (3%): Reward = 24 FPs. Min. Contribution = 24 / 1.6 = 15 FPs. Profit = 9 FPs.

Total External Contributions: 100 + 50 + 25 + 20 + 15 = 210 FPs

Owner’s Final Contribution: 800 – 210 = 590 FPs

Interpretation: Even with a lower Arc bonus, the strategy still helps. Contributors get a 1.6x return, which is still profitable. You cover 590 FPs, and 210 FPs come from external players. This demonstrates the flexibility of the Arc 1.9 Calculator beyond just the 1.9 rate.

How to Use This Arc 1.9 Calculator

Our Arc 1.9 Calculator is designed for ease of use, helping you quickly determine the optimal contributions for your Great Buildings in Forge of Empires.

Step-by-Step Instructions:

1. Enter Total FPs Needed for Next GB Level: In the first input field, enter the exact number of Forge Points required to complete the current level of your Great Building. You can find this information by clicking on your GB in the game and checking the “Level Up” cost.
2. Enter Your Arc Bonus Percentage: In the second input field, enter the bonus percentage provided by your Arc Great Building. For the standard “1.9” strategy, this will be 90 (for a Level 80 Arc). If your Arc is a different level, enter its corresponding bonus percentage.
3. Click “Calculate Arc 1.9”: Once both values are entered, click the “Calculate Arc 1.9” button. The results will update automatically as you type.
4. Review the Results:
   • Owner’s Final Contribution: This is the primary highlighted result, showing how many FPs you, as the GB owner, will need to contribute after all external 1.9 contributions are made.
   • Effective Return Rate: Shows the multiplier for contributor rewards based on your Arc bonus.
   • Total External Contributions: The sum of FPs contributed by P1-P5.
   • Detailed Contribution Breakdown: The table below the main results provides a granular view for each reward spot (P1-P5), showing the raw FP reward, the minimum FPs they need to contribute, and their resulting profit.
   • Contribution Overview Chart: A visual representation of the FP distribution between you and the external contributors.
5. Use the “Reset” Button: If you want to start over or test different scenarios, click the “Reset” button to clear the inputs and restore default values.
6. Use the “Copy Results” Button: This button will copy all key results to your clipboard, making it easy to share the plan with your guild or keep for your records.

How to Read Results and Decision-Making Guidance:

The Arc 1.9 Calculator provides actionable data. The “Owner’s Final Contribution” is your target. You can then post the required contributions for P1-P5 in your guild chat or 1.9 thread, inviting players to fill those spots. The “Contributor Profit” column helps you explain the benefit to potential contributors. If your “Owner’s Final Contribution” is negative, it means the sum of 1.9 contributions exceeds the total FPs needed, which is rare but indicates you might be overpaying for external help or the GB level is very low.

Key Factors That Affect Arc 1.9 Calculator Results

The effectiveness and specific numbers generated by the Arc 1.9 Calculator are influenced by several critical factors in Forge of Empires:

1. Total FPs Needed for the GB Level: This is the most direct factor. Higher GB levels require exponentially more FPs, which in turn increases the raw FP rewards for contributors and the overall FPs to be distributed. The Arc 1.9 Calculator scales directly with this input.
2. Owner’s Arc Level (Arc Bonus Percentage): The level of the GB owner’s Arc is paramount. A Level 80 Arc provides a 90% bonus, leading to the coveted 1.9x return rate for contributors. Lower Arc levels result in a lower return rate, making contributions less attractive and potentially requiring the owner to cover more FPs. The Arc 1.9 Calculator dynamically adjusts the return rate based on this input.
3. Fixed Reward Percentages: The game’s inherent reward structure for the top 5 spots (20%, 10%, 5%, 4%, 3%) is a constant. These percentages dictate how the total FPs are distributed as rewards, which then informs the minimum contributions.
4. Contributor’s Arc Level: While not directly an input for *this* calculator (which focuses on the owner’s perspective), the contributor’s Arc level is crucial for *their* decision to participate. A contributor with a Level 80+ Arc will seek a 1.9x return, making them ideal partners for a 1.9 thread.
5. Guild/Community Rules and Etiquette: Many guilds have established rules for 1.9 contributions, including minimum contributions, “sniping” prevention, and how to claim spots. These social factors, while not mathematical, heavily influence the practical application of the Arc 1.9 Calculator‘s results.
6. Blueprint and Medal Value: While the calculator deals in FPs, the underlying motivation for contributors is often the blueprints and medals they receive. The perceived value of these rewards can influence how quickly spots are filled, especially for rare GB blueprints.
7. Availability of Contributors: The success of the 1.9 strategy relies on a pool of active players willing to contribute. A thriving guild or a dedicated 1.9 group ensures that spots calculated by the Arc 1.9 Calculator are filled promptly.

Frequently Asked Questions (FAQ)

Q: What does “1.9” actually mean in Forge of Empires?

A: The “1.9” refers to the return rate for contributors to a Great Building. If a GB owner has an Arc at Level 80, contributors who secure a reward spot will receive 1.9 times their contributed Forge Points (FPs) back in value (FPs, blueprints, medals). For example, contributing 100 FPs yields 190 FPs worth of rewards.

Q: Why is a Level 80 Arc so important for the 1.9 strategy?

A: A Level 80 Arc provides a 90% bonus to GB rewards. This bonus is what turns a 1:1 contribution-to-reward ratio into a 1:1.9 ratio, making it highly profitable for contributors and thus attracting them to fill your GB spots. The Arc 1.9 Calculator is built around this optimal bonus.

Q: Can I use the Arc 1.9 Calculator if my Arc is not Level 80?

A: Yes! Our Arc 1.9 Calculator allows you to input any Arc Bonus Percentage. While the “1.9” strategy is optimal at Level 80, the calculator will still provide accurate contribution amounts for your specific Arc level, showing the corresponding return rate for contributors.

Q: What if the owner’s final contribution is a negative number?

A: A negative owner’s final contribution means that the sum of the 1.9 contributions from P1-P5 actually exceeds the total FPs needed for the level. This can happen with very low-cost GB levels or extremely high Arc bonus percentages. In such cases, the owner technically doesn’t need to contribute any FPs, and the external contributions would overfill the GB. It’s an unusual scenario for the standard 1.9 strategy.

Q: How do I find the “Total FPs Needed for Next GB Level”?

A: In Forge of Empires, click on your Great Building. In the GB’s information window, you will see the current level and the total number of Forge Points required to reach the next level. Enter this number into the Arc 1.9 Calculator.

Q: Is the 1.9 strategy fair for everyone?

A: Yes, it’s considered a mutually beneficial strategy. The GB owner gets their building leveled up efficiently, often at a reduced personal FP cost. Contributors, especially those with a Level 80 Arc, profit by gaining more FPs/blueprints/medals than they invested. The Arc 1.9 Calculator helps ensure this fairness by providing precise numbers.

Q: What are the risks of using the 1.9 strategy?

A: The main risk is “sniping,” where a player not part of your 1.9 agreement places FPs to secure a reward spot, disrupting the planned contributions. Good guild communication and quick filling of spots (especially P1 and P2) can mitigate this. The Arc 1.9 Calculator helps you quickly communicate the required FPs to your trusted contributors.

Q: Can I use this calculator for all Great Buildings?

A: Yes, the Arc 1.9 Calculator works for any Great Building, as the underlying reward percentages and the Arc bonus mechanism are universal across all GBs in Forge of Empires.

Related Tools and Internal Resources

To further enhance your Forge of Empires gameplay and optimize your strategies, explore these related tools and guides:

• Forge of Empires Great Building Guide: A comprehensive guide to all GBs, their benefits, and leveling priorities.
• FoE Forge Points Strategy: Learn various methods to acquire and manage your Forge Points effectively.
• Advanced FoE Trading Strategies: Master the art of goods trading to support your GBs and city growth.
• Great Building Leveling Calculator: A more general calculator for planning GB levels without the specific 1.9 strategy.
• Arc Level 80 Guide FoE: Detailed steps and benefits of leveling your Arc to the crucial Level 80.
• FoE Event Calculator: Plan your participation in in-game events to maximize rewards.