This file will simulate the chances of your party getting hit with a tier three knowledge bomb after a certain number of turns.  You start at tier zero, and the chances of leveling up each round are as follows:<br>0 => 1: 255/256<br>1 => 2: 50%<br>2 => 3: 25%<br><br>Basically, the AI learns what monsters are immune to after you hit level 3 and they will stop casting spells that have no chance of working.<br><br><table width=500px><tr><td>Turn</td><td>Lv 1</td><td>Lv 2</td><td>Lv 3</td></tr><tr><td>1</td><td>0.99618</td><td>0</td><td>0.00043</td></tr><tr><td>2</td><td>0.99997</td><td>0.50132</td><td>0.00043</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74776</td><td>0.1258</td></tr><tr><td>4</td><td>1</td><td>0.87286</td><td>0.2831</td></tr><tr><td>5</td><td>1</td><td>0.9376</td><td>0.43176</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.9684</td><td>0.55821</td></tr><tr><td>7</td><td>1</td><td>0.98482</td><td>0.66</td></tr><tr><td>8</td><td>1</td><td>0.99263</td><td>0.74297</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99617</td><td>0.80507</td></tr><tr><td>10</td><td>1</td><td>0.99816</td><td>0.85319</td></tr><tr><td>11</td><td>1</td><td>0.99922</td><td>0.89024</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99966</td><td>0.91742</td></tr><tr><td>13</td><td>1</td><td>0.99982</td><td>0.93796</td></tr><tr><td>14</td><td>1</td><td>0.99991</td><td>0.95372</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96547</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97441</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.98098</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99997</td><td>0.98578</td></tr><tr><td>19</td><td>1</td><td>0.99998</td><td>0.98933</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99223</td></tr><tr><td>21(7 I)</td><td>1</td><td>0.99999</td><td>0.99413</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99577</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99689</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99772</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99837</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.9989</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99936</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99964</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99979</td></tr><tr><td>30(10 I)</td><td>1</td><td>1</td><td>1</td></tr></table><br><hr><Br>And again, with +1/256 to each chance.<br><table width=500px><tr><td>Turn</td><td>Lv 1</td><td>Lv 2</td><td>Lv 3</td></tr><tr><td>1</td><td>1</td><td>0</td><td>0.00045</td></tr><tr><td>2</td><td>1</td><td>0.50188</td><td>0.00045</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75296</td><td>0.12589</td></tr><tr><td>4</td><td>1</td><td>0.87703</td><td>0.28488</td></tr><tr><td>5</td><td>1</td><td>0.93939</td><td>0.43415</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96937</td><td>0.56285</td></tr><tr><td>7</td><td>1</td><td>0.98494</td><td>0.66748</td></tr><tr><td>8</td><td>1</td><td>0.9926</td><td>0.74759</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99619</td><td>0.81077</td></tr><tr><td>10</td><td>1</td><td>0.99801</td><td>0.8572</td></tr><tr><td>11</td><td>1</td><td>0.99902</td><td>0.89324</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.92054</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.94097</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95604</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99995</td><td>0.96711</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97546</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98177</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.9865</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98985</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99256</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99463</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99596</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99717</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99787</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99856</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99909</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99941</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99963</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99987</td></tr><tr><td>30(10 I)</td><td>1</td><td>1</td><td>1</td></tr></table><style type="text/css">
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