2015-02-06, 07:18 AM
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.
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.