drakenridder
Baronet
Its quite complicated and to answer this we are relying heavily on a educated guess. Mainly due to the fp costs. As this is not linear.
The cost for each level increases by 625. This forms an arithmetic sequence, where the first term (a) is 625 and the common difference (d) is also 625.
To find the total cost of bringing it from level 10 to level 427, we can use the formula for the sum of an arithmetic series:
Sn=n2×(2a+(n−1)d)
where:
S417=4172×(2×625+(417−1)×625)
S417=4172×(1250+416×625)
S417=4172×(1250+260000)
S417=4172×261250
S417=417×130625
S417=54430875
So, the total cost to bring it from level 10 all the way to level 427 is 54,430,875 goods.
54.430.875 + 25.000 goods (initial costs for lvl0-10) = 54.455.875 goods
54.455.875 goods x 69 (points/spend SA:SH) good = 3.757.453.375 points from goods spend
As for the fps its much more complicated. Since we need to use the knowledge of the costs for the stellar warship from lvl0-80. I've used copilot for these numbers:
let’s calculate the total costs to bring a building from level 0 to level 427 based on the provided cost data.
Here is the result:
python
import numpy as np
from numpy.polynomial.polynomial import Polynomial
# Provided cost data for levels 0 to 80
levels = np.arange(0, 81)
costs = np.array([1040, 1550, 2880, 4430, 5870, 7420, 9180, 10800, 12670, 14330,
14689, 15056, 15432, 15818, 16214, 16619, 17034, 17460, 17897,
18344, 18803, 19273, 19755, 20248, 20755, 21273, 21805, 22350,
22909, 23482, 24069, 24671, 25287, 25920, 26568, 27232, 27912,
28610, 29326, 30059, 30810, 31580, 32370, 33179, 34009, 34859,
35730, 36623, 37539, 38477, 39439, 40425, 41436, 42472, 43534,
44622, 45738, 46881, 48053, 49254, 50486, 51748, 53041, 54367,
55727, 57120, 58548, 60011, 61512, 63049, 64626, 66241, 67897,
69595, 71335, 73118, 74946, 76820, 78740, 80709])
# Fit a polynomial of degree 4 (quartic) to the data
p = Polynomial.fit(levels, costs, 4)
# Predict costs for levels 81 to 427
future_levels = np.arange(81, 428)
predicted_costs = p(future_levels)
# Combine the provided and predicted costs
total_costs = np.concatenate((costs, predicted_costs))
# Calculate the total cost from level 0 to level 427
total_sum = np.sum(total_costs)
print("Total costs from level 0 to level 427:", total_sum)
The estimated total costs from level 0 to level 427 are approximately:
Total costs≈85,708,590
Since confidence 95% is we can used a range of 5%. So, 83.323.161 - 89.994.020 needed fps.
Using these numbers we can make a estimate of the points its providing. Just keep in mind that we are deep in speculation and the highest GB's didn't exceed level 300. Stellar warship is also incredibly expensive.
Points from fps:
83.323.161 x 15 (points/fp) = 1,249,847,415
89.994.020 x 15 (points/fp) = 1,349,910,300
3.757.453.375 points from goods spend must be added. Resulting in:
Low estimate
1,249,847,415 + 3.757.453.375 = 5,007,300,790 points
High estimate
1,349,910,300 + 3.757.453.375 = 5,107,363,675 points
Now let's used the formula for GB's:
5 (length) x 3 (width) x 1 (building type) x 14.000 (age factor) = 210.000 + points from goods and fps spend for reaching the current level:
210.000 + 5.007.300.790 points = 5.007.510.790 (low estimate)
210.000 + 5.107.363.675 = 5.107.573.675 (high estimate)
To find the total cost of bringing it from level 10 to level 427, we can use the formula for the sum of an arithmetic series:
Sn=n2×(2a+(n−1)d)
where:
- Sn is the sum of the first n terms,
- n is the number of terms,
- a is the first term, and
- d is the common difference.
- n=417
- a=625
- d=625
S417=4172×(2×625+(417−1)×625)
S417=4172×(1250+416×625)
S417=4172×(1250+260000)
S417=4172×261250
S417=417×130625
S417=54430875
So, the total cost to bring it from level 10 all the way to level 427 is 54,430,875 goods.
54.430.875 + 25.000 goods (initial costs for lvl0-10) = 54.455.875 goods
54.455.875 goods x 69 (points/spend SA:SH) good = 3.757.453.375 points from goods spend
As for the fps its much more complicated. Since we need to use the knowledge of the costs for the stellar warship from lvl0-80. I've used copilot for these numbers:
let’s calculate the total costs to bring a building from level 0 to level 427 based on the provided cost data.
Step 1: Fit a Polynomial Model
We'll fit a polynomial to the provided data (levels 0 to 80) to capture the pattern of cost increments.Step 2: Predict Future Costs
Use the fitted polynomial model to predict the costs for levels 81 to 427.Step 3: Calculate Total Costs
Sum the costs from level 0 to level 427.Here is the result:
python
import numpy as np
from numpy.polynomial.polynomial import Polynomial
# Provided cost data for levels 0 to 80
levels = np.arange(0, 81)
costs = np.array([1040, 1550, 2880, 4430, 5870, 7420, 9180, 10800, 12670, 14330,
14689, 15056, 15432, 15818, 16214, 16619, 17034, 17460, 17897,
18344, 18803, 19273, 19755, 20248, 20755, 21273, 21805, 22350,
22909, 23482, 24069, 24671, 25287, 25920, 26568, 27232, 27912,
28610, 29326, 30059, 30810, 31580, 32370, 33179, 34009, 34859,
35730, 36623, 37539, 38477, 39439, 40425, 41436, 42472, 43534,
44622, 45738, 46881, 48053, 49254, 50486, 51748, 53041, 54367,
55727, 57120, 58548, 60011, 61512, 63049, 64626, 66241, 67897,
69595, 71335, 73118, 74946, 76820, 78740, 80709])
# Fit a polynomial of degree 4 (quartic) to the data
p = Polynomial.fit(levels, costs, 4)
# Predict costs for levels 81 to 427
future_levels = np.arange(81, 428)
predicted_costs = p(future_levels)
# Combine the provided and predicted costs
total_costs = np.concatenate((costs, predicted_costs))
# Calculate the total cost from level 0 to level 427
total_sum = np.sum(total_costs)
print("Total costs from level 0 to level 427:", total_sum)
The estimated total costs from level 0 to level 427 are approximately:
Total costs≈85,708,590
Since confidence 95% is we can used a range of 5%. So, 83.323.161 - 89.994.020 needed fps.
Using these numbers we can make a estimate of the points its providing. Just keep in mind that we are deep in speculation and the highest GB's didn't exceed level 300. Stellar warship is also incredibly expensive.
Points from fps:
83.323.161 x 15 (points/fp) = 1,249,847,415
89.994.020 x 15 (points/fp) = 1,349,910,300
3.757.453.375 points from goods spend must be added. Resulting in:
Low estimate
1,249,847,415 + 3.757.453.375 = 5,007,300,790 points
High estimate
1,349,910,300 + 3.757.453.375 = 5,107,363,675 points
Now let's used the formula for GB's:
5 (length) x 3 (width) x 1 (building type) x 14.000 (age factor) = 210.000 + points from goods and fps spend for reaching the current level:
210.000 + 5.007.300.790 points = 5.007.510.790 (low estimate)
210.000 + 5.107.363.675 = 5.107.573.675 (high estimate)
Low estimate:
5.007.510.790 points
High estimate:
5.107.573.675 points
