Welcome to the Arknights Resource Optimization Tool (A.R.O.T.). Calculate the required runs, expected yields, or probability of success based on your resource farming goals. Simply leave one field blank, and the calculator will solve for the missing variable based on the relationship: $Q \times P = F \times V$.
Arknights Optimization Calculator
Detailed Steps
Please enter your variables and click ‘Calculate’ to see the detailed steps here.
Arknights Optimization Formula
*Note: P is converted from percentage (e.g., 75% -> 0.75) for calculation.*
Formula Source: Probability Models, Arknights Data Wiki
Variables Explained
- Q (Expected Resource Drops per Run): The average number of primary resources obtained on a single map run, accounting for fixed and conditional drops.
- P (Resource Probability Multiplier, %): The overall probability or modifier of the desired event (e.g., gold material drop rate). Enter as a whole number (e.g., 85).
- V (Sanity Cost per Run): The total Sanity required to complete the selected farming stage.
- F (Total Resource Target or Total Sanity Spent): The goal quantity of the resource you need, or the total amount of Sanity you plan to spend.
What is Arknights Optimization?
Arknights resource optimization is the process of minimizing the Sanity (Stamina) cost required to acquire necessary promotion and skill materials. Since materials drop based on complex probability tables, effective optimization relies on statistical analysis of expected Sanity cost per unit of resource (often measured in “Originite Prime equivalent” or O.P.E.).
The core principle involves choosing the stage that offers the highest expected drop rate for a material relative to the Sanity spent. Using a calculator like this helps Doktor (player) manage their resources efficiently, preventing waste on suboptimal farming stages, especially during events.
How to Use the Calculator (Example)
Let’s say you want to find the Total Resource Target (F) you can acquire if you run a specific stage 10 times.
- Identify Q: The expected drop rate of the material is 1.25 per run. Enter
1.25in Q. - Identify P: The probability multiplier is 90%. Enter
90in P. - Identify V: The Sanity Cost per run is 20. Enter
20in V. - Leave F blank. The calculator will solve for F.
- Click ‘Calculate’. The result (F) will show the expected total resource target you can achieve (e.g., F = 56.25).
Related Calculators
Arknights LMD Calculator | Arknights EXP Card Calculator | Arknights Trust Calculator | Event Efficiency Tool
Frequently Asked Questions (FAQ)
Is the $Q \times P = F \times V$ formula mathematically sound for real-world farming?
This formula is a simplified mathematical model used for consistency checks in this tool. Real-world Arknights farming requires complex, weighted probability models, but this tool provides quick estimates for optimization planning.
What is the typical value for P (Resource Probability Multiplier)?
P often reflects the material drop rate published by community data trackers, which converts the probability into a simple multiplier for the calculation. Values typically range from 50 to 120.
Why is consistency checking important if I enter all four values?
If you input all four variables (Q, P, V, F), the calculator checks if they satisfy the equation ($Q \times P \approx F \times V$). This helps identify if the input values are based on the same underlying assumptions or if one variable is miscalculated.
What happens if the calculation involves dividing by zero?
The calculation logic explicitly checks for division by zero (e.g., solving for V when Q or P is zero) and displays a robust error message, preventing inaccurate or undefined results.