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Forge Of Empires Arc Calculator

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The Forge Of Empires Arc Calculator is a valuable tool for players of the game Forge of Empires. It helps determine the required Forge Points (FP) investment for leveling up the Arc Great Building efficiently. This article will cover its workings, definition, formula, examples, and relevant information tables in simple and clear language.

Understanding the Calculator's Purpose and Functionality

The primary purpose of the Forge Of Empires Arc Calculator is to help players calculate the total Forge Points needed to level up their Arc Great Building from a current level to a desired target level. By understanding the exact FP requirements, players can plan their investments and optimize their strategies.

Inputs:

  • Current level of the Arc Great Building (Arc GB): The level at which the Arc GB currently stands.
  • Desired target level of the Arc GB: The level to which the player aims to upgrade the Arc GB.

Calculations:

  • Total Forge Points (FP) needed: The total FP required to level up from the current level to the target level.
  • Optimal distribution of Forge Points: The best way to distribute FP across different levels for minimum expenditure.

Step-by-Step Examples

Let's go through an example to illustrate how the calculator works.

Inputs:

  • Current level of the Arc GB: 50
  • Desired target level of the Arc GB: 80

Calculations:

Total Forge Points Needed:

To calculate the total FP needed from level 50 to 80, we use the following formula:

Total FP=Y×(Y+1)×(2Y+1)6−X×(X+1)×(2X+1)6\text{Total FP} = \frac{Y \times (Y + 1) \times (2Y + 1)}{6} - \frac{X \times (X + 1) \times (2X + 1)}{6}Total FP=6Y×(Y+1)×(2Y+1)​−6X×(X+1)×(2X+1)​

Where:

  • XXX = Current level
  • YYY = Target level

Plugging in the values:

Total FP=80×81×1616−50×51×1016\text{Total FP} = \frac{80 \times 81 \times 161}{6} - \frac{50 \times 51 \times 101}{6}Total FP=680×81×161​−650×51×101​

Total FP=104,7606−25,7556\text{Total FP} = \frac{104,760}{6} - \frac{25,755}{6}Total FP=6104,760​−625,755​

Total FP=17,460−4,292.5\text{Total FP} = 17,460 - 4,292.5Total FP=17,460−4,292.5

Total FP=13,167.5\text{Total FP} = 13,167.5Total FP=13,167.5

So, the total Forge Points needed to level up from level 50 to 80 is 13,167.5.

Relevant Information Table

Here's a table summarizing the information:

InputValue
Current level of the Arc GB50
Desired target level of the Arc GB80
Total Forge Points Needed13,167.5

Conclusion: Benefits and Applications of the Calculator

The Forge Of Empires Arc Calculator offers several benefits and applications:

  • Efficiency: Players can calculate the exact FP needed, helping them plan their investments more efficiently.
  • Optimization: By understanding the optimal FP distribution, players can minimize their FP expenditure, allowing for smarter gameplay.
  • Strategy: Knowing the FP requirements helps players set achievable goals and manage their resources effectively.

In summary, the Forge Of Empires Arc Calculator is an essential tool for any Forge of Empires player looking to level up their Arc Great Building with precision and efficiency. With its clear calculations and optimal FP distribution strategy, players can enhance their gameplay and achieve their goals more effectively.

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