Question about Star foce in GMS

Umm . . . I was crunching the numbers and here's what I came up with for the costs of enhancing your tyrants according to the charts released for star force in GMS by nexon.

Stars | Average Total Cost to Get from 0 to __ stars
---------------------------------------------------------+
0 Stars | 0 mesos * * * * * * * * * * * * * * * * * * * * * * |
1 Star | 111,664,400 mesos * * * * * * * * * * * * * * |
2 Stars | 223,328,800 mesos * * * * * * * * * * * * * |
3 Stars | 496,286,222 mesos * * * * * * * * * * * * * |
4 Stars | 1.240715556 billion mesos * * * * * * * * |
5 Stars | 3.101788889 billion mesos * * * * * * * * |
6 Stars | 7.810304422 billion mesos * * * * * * * * |
7 Stars | 19.62048969 billion mesos * * * * * * * * |
8 Stars | 49.28951196 billion mesos * * * * * * * * |
9 Stars | 124.1209992 billion mesos * * * * * * * * |
10 Stars | 339.1987006 billion mesos * * * * * * * |
11 Stars | 979.7223058 billion mesos * * * * * * * |
12 Stars | 2.832423374 trillion mesos * * * * * * *|
13 Stars | 90.48100864 trillion mesos * * * * * * *|
14 Stars | 449.9699859 trillion mesos * * * * * * *|
15 Stars | 4.678083348 quadrillion mesos * * * *|
---------------------------------------------------------+
Anyone see something seriously wrong with these amounts? Like are you fuqing kidding me nexon? How is anyone supposed to perfect a tyrant like this.

Umm . . . I was crunching the numbers and here's what I came up with for the costs of enhancing your tyrants according to the charts released for star force in GMS by nexon.

Stars | Average Total Cost to Get from 0 to __ stars
---------------------------------------------------------+
0 Stars | 0 mesos * * * * * * * * * * * * * * * * * * * * * * |
1 Star | 111,664,400 mesos * * * * * * * * * * * * * * |
2 Stars | 223,328,800 mesos * * * * * * * * * * * * * |
3 Stars | 496,286,222 mesos * * * * * * * * * * * * * |
4 Stars | 1.240715556 billion mesos * * * * * * * * |
5 Stars | 3.101788889 billion mesos * * * * * * * * |
6 Stars | 7.810304422 billion mesos * * * * * * * * |
7 Stars | 19.62048969 billion mesos * * * * * * * * |
8 Stars | 49.28951196 billion mesos * * * * * * * * |
9 Stars | 124.1209992 billion mesos * * * * * * * * |
10 Stars | 339.1987006 billion mesos * * * * * * * |
11 Stars | 979.7223058 billion mesos * * * * * * * |
12 Stars | 2.832423374 trillion mesos * * * * * * *|
13 Stars | 90.48100864 trillion mesos * * * * * * *|
14 Stars | 449.9699859 trillion mesos * * * * * * *|
15 Stars | 4.678083348 quadrillion mesos * * * *|
---------------------------------------------------------+
Anyone see something seriously wrong with these amounts? Like are you fuqing kidding me nexon? How is anyone supposed to perfect a tyrant like this.

your math's wrong.

your math's wrong.

Correct it then or explain why?

Stars 1 - 5 is pretty straight forward, after that though . . . . .looks off to you and I both, but that's what it came out to for me. I did my math like this:
1 Stars = 55832200 / (0.5) = 111,664,400
2 Stars = 55832200 / (0.5 * 0.5) = 223,328,800 mesos
3 Stars = 55832200 / (0. 5 * 0.5 * 0.45) = 496,286,222 mesos
4 Stars = 55832200 / (0.5 * 0.5 * 0.45 * 0.4) 1.240715556 billion mesos
5 Stars = 55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4) = 3.101788889 billion mesos

6 Stars = (1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)))= 7.810304422 billion mesos

7 Stars = (1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))) = 19.62048969 billion mesos

8 Stars = (1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))) = 49.28951196 billion mesos

9 Stars = (1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))) = 124.1209992 billion mesos

10 Stars = (1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))) = 339.1987006 billion mesos

11 Stars = (1 - 0.65 * 0.2)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35)) + (0.65 * 0.2)(((1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35))) = 979.7223058 billion mesos

12 Stars = (1 - 0.65 * 0.25)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35)) + (0.65 * 0.25)(((1 - 0.65 * 0.2)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35)) + (0.65 * 0.2)(((1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35))) = 2.832423374 trillion mesos

13 Stars = ((1 - 0.97 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03)) + (0.97 * 0.5)(((1 - 0.65 * 0.25)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35)) + (0.65 * 0.25)(((1 - 0.65 * 0.2)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35)) + (0.65 * 0.2)(((1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35))) = 90.48100864 trillion mesos

14 Stars = (1 - 0.98 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.02)) + (0.98 * 0.5)(((1 - 0.97 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03)) + (0.97 * 0.5)(((1 - 0.65 * 0.25)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35)) + (0.65 * 0.25)(((1 - 0.65 * 0.2)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35)) + (0.65 * 0.2)(((1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.0)2) = 449.9699859 trillion mesos

15 Stars = (1 - 0.99 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.02 * 0.01)) + (0.99 * 0.5)(((1 - 0.98 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.02)) + (0.98 * 0.5)(((1 - 0.97 * 0.5)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03)) + (0.97 * 0.5)(((1 - 0.65 * 0.25)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35)) + (0.65 * 0.25)(((1 - 0.65 * 0.2)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35)) + (0.65 * 0.2)(((1-0.63 * 0.15)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37)) + (0.63 * 0.15)(((1 - 0.6 * 0.1)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.1)(((1 - 0.6 * 0.07)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))+(0.6 * 0.07)(((1 - 0.6 * 0.05)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.05)(((1 - 0.6 * 0.03)(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4)) + (0.6 * 0.03)((55832200 / (0.5 * 0. 5 * 0.45 * 0.4 * 0.4))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03))))+(55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.0)2)) + (55832200 / (0.5 * 0.5 * 0.45 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.37 * 0.35 * 0.35 * 0.03 * 0.02 * 0.01))) = 4.678083348 quadrillion mesos

Umm, after going over this the only thing I seem to have missed is adding 5583200 mesos for attempting to upgrade and immediately blowing up at each star level above 5. That would increase the averages a bit but they're already astronomical so it doesn't matter much. PLEASE tell me there's some huge error in my math besides that here. These numbers are looking crazy high. I actually did hit that average for around 3 billion mesos getting to 5 stars in my own upgrades on my tyrants with star force so I would assume i'm doing this correctly.

The cost for 5 star at least seems consistent with my own experience and testimonies of a few of my old alliancemates. That said, your calculations seem a generalized or incorrect to describe the expected cost (if there is one). Moreover, the average cost doesn't mean much without a variance. I aced a probability course last semester, but describing the distribution of this system seems very complicated. It's quite similar to a random walk problem, but restricted to positive integer values. The changing probabilities and chance of returning to the start (booming) severely complicate it as well :\

My issue with the calculations for stars 1-5 is that you're dividing by the probability of getting x successes in a row when there are more alternatives. For 5 stars, for example, you could fail any number of times at the beginning, pass 4, fail 2, then pass 3 in a row and get to 5 stars. To get to x stars in general, you'd need to get x more successes than failures in N attempts where failures from 0 stars can be ignored. The problem is fixing x and calculating the expectation of N where N can take values from x to infinity.

This is kind of interesting, so I think I'll build some code to test this with fixed probability values.

--__-- . . . . .I forgot chance time, but this does work well enough ignoring chance time. . . .trying to find a compiler atm for my new simulator to factor in that. The above calculations were just done with the programming calculator windows comes with trying to AVOID such complications and just come up with an average based on the success rates as I usually do when figuring out how many times I'd have to try to perfect something with a scroll in game on average.

-edit- Okay . . . . . . got ma code workin' and the chart now goes like dis for meh

Average total cost from zero to xx stars for tyrants plus cost from one to next star on the right:
1 Stars ~ 111,781,089 mesos
2 Stars ~ 334,747,583 mesos - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -[1>2 ~ 223125571 mesos]
3 Stars ~ 699,998,999 mesos - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -[2>3 ~ 362128766 mesos]
4 Stars ~ 1,272,053,487 mesos - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - [3>4 ~ 568414228 mesos]
5 Stars ~ 2,049,710,610 mesos - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - [4>5 ~ 787924106 mesos]
6 Stars ~ 3,090,710,354 mesos | destroyed: ~ 0.043 - - - - - - - - [5>6 ~ 1053000317 mesos | destroyed: ~0.045]
7 Stars ~ 4,537,479,544 mesos | destroyed: ~ 0.19 - - - - - - - - - - [6>7 ~ 1452862717 mesos | destroyed: ~0.14]
8 Stars ~ 6,608,690,017 mesos | destroyed: ~ 0.47 - - - - - - - - - - [7>8 ~ 2078473126 mesos | destroyed: ~0.29]
9 Stars ~ 9,797,153,062 mesos | destroyed: ~ 0.99 - - - - - - - - - - [8>9 ~3170482843 mesos | destroyed: ~0.52]
10 Stars ~ 15,887,073,168 mesos | destroyed: ~ 2.08 - - - - - - - -[9>10 ~6049610374 mesos | destroyed: ~1.07]
11 Stars ~ 29,233,101,758 mesos | destroyed: ~ 4.52 - - - - - - [10>11 ~13287226117 mesos | destroyed: ~2.45]
12 Stars ~ 58,021,875,793 mesos | destroyed: ~ 9.88 - - - - - -[11>12 ~28747478307 mesos | destroyed: ~5.33 ]

13 Stars ~ 1,384,130,973,278 mesos | destoyed: ~ 257.23
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - [12>13 ~1,327,171,451,370 mesos | destoyed: ~247.57]

14 Stars ~ 67,138,821,115,450 mesos | destroyed: ~ 12,523.23
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -[13>14 ~65,754,576,339,398 mesos | destoyed: ~12265.99]

15 Stars ~ 6,610,568,768,942,160 mesos | destroyed: ~ 1,233,152.06 | ~118,400,972.4 upgrade attempts
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - [14>15 ~6,577,666,407,304,931 mesos | destroyed: ~1,227,011.14]


Ok . . .I'll just say look at these averages from a simulation of getting 100,000 tyrant equips to xx number of stars with infinite replacements for when they blow up. Aside from 15 which i only did to 1000 simulations due to it taking 12.5 hours to simulate that many equips getting to 15 stars with infinite replacements for destruction. With the costs as they are I would just say don't go over 7 stars in general and 12 stars maximum with star force. After all you're much more likely to blowing up in the hundreds of times trying for 13 compared to about 20 maximum while trying for 12. And its actually cheaper to stop after 5 - 7 and just go the old fashioned method of aee no boom and guardian scrolls.

 Spoiler

Code:

#include <iostream>
#include <iomanip>
#include <random>


int main()
{
  const int equipNum=100000; //number of equips simulated
  int numTries[equipNum], numDestroy[equipNum];
  int successRate[]={50,50,45,40,40,40,40,40,40,37,35,35,3,2,1}, destroyRate[]={0,0,0,0,0,3,5,7,10,15,20,25,50,50,50};
  int consecutiveFails=0,currentStars=-1,previousStars=0,desiredStars=0,a=-1;
  double averageNumTries=0,averageNumDestroy=0,averagecost=0;


std::default_random_engine engine;
std::uniform_real_distribution<double> gen(0.0, 1.0);
  
  while(desiredStars>15 || desiredStars<1){
    std::cout << "Please enter the desired number of stars (up to 15): ";
    std::cin >> desiredStars;
  }
  while(a<0||a>desiredStars){
    std::cout << "Please enter the current number of stars (up to 14): ";
    std::cin >> a;
  }


  currentStars=a;
  
  for(int i=0;i<equipNum;i++){numTries[i]=0;numDestroy[i]=0;}
  for(int i=0;i<equipNum;i++){


    while(currentStars<desiredStars){
      if(consecutiveFails==2&&previousStars!=0){ //Chance Time!
        consecutiveFails=0;
        currentStars++;
      }
      
      else if(gen(engine)*100<successRate[currentStars]){ //Pass
        previousStars=currentStars;
        consecutiveFails=0;
        currentStars++;
      }
      else if(gen(engine)*100<destroyRate[currentStars]){ // Fail(Destroy)
        currentStars=0;
        consecutiveFails=0;
        numDestroy[i]++;
      }
      else{ // Fail(Drop)
        if(currentStars>0){consecutiveFails++;currentStars--;}
      }
      numTries[i]++;
    }
    currentStars=a;
  }


  for(int i=0;i<equipNum;i++){averageNumTries+=numTries[i];averageNumDestroy+=numDestroy[i];}
  averageNumTries/=equipNum;
  averageNumDestroy/=equipNum;
  averagecost = averageNumTries * 55832200;


  std::cout << "Average Total Cost to go from " << a << " stars to " << desiredStars << ": " << std::setprecision(18) << std::setw(24) << averagecost << " mesos\n";
  std::cout << "Average Number of tries to go from " << a << " stars to " << desiredStars << ": " << std::setprecision(10) << std::setw(24) << averageNumTries << "\n";
  std::cout << "Average Number of times destroyed: " << std::setprecision(10) << std::setw(24) << averageNumDestroy;
  std::cin >> a;
  
  return 0;
}