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>0.99628</td><td>0</td><td>0.00044</td></tr><tr><td>2</td><td>0.99998</td><td>0.49661</td><td>0.00044</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74704</td><td>0.12501</td></tr><tr><td>4</td><td>1</td><td>0.87319</td><td>0.27879</td></tr><tr><td>5</td><td>1</td><td>0.93732</td><td>0.42812</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96935</td><td>0.55533</td></tr><tr><td>7</td><td>1</td><td>0.98447</td><td>0.65771</td></tr><tr><td>8</td><td>1</td><td>0.99259</td><td>0.739</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99634</td><td>0.80281</td></tr><tr><td>10</td><td>1</td><td>0.99812</td><td>0.852</td></tr><tr><td>11</td><td>1</td><td>0.99919</td><td>0.88854</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99957</td><td>0.91736</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.93769</td></tr><tr><td>14</td><td>1</td><td>0.99993</td><td>0.95235</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96428</td></tr><tr><td>16</td><td>1</td><td>0.99999</td><td>0.97309</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.97993</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.9851</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.9888</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99194</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99396</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99559</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99684</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99776</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99835</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.9988</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99921</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99946</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99973</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>0.00038</td></tr><tr><td>2</td><td>1</td><td>0.50135</td><td>0.00038</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75382</td><td>0.12633</td></tr><tr><td>4</td><td>1</td><td>0.87762</td><td>0.28503</td></tr><tr><td>5</td><td>1</td><td>0.93856</td><td>0.43533</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96969</td><td>0.56371</td></tr><tr><td>7</td><td>1</td><td>0.98528</td><td>0.66707</td></tr><tr><td>8</td><td>1</td><td>0.99249</td><td>0.74813</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99637</td><td>0.81006</td></tr><tr><td>10</td><td>1</td><td>0.99813</td><td>0.8587</td></tr><tr><td>11</td><td>1</td><td>0.99903</td><td>0.89424</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.92036</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.94034</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95564</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96695</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97545</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98195</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.9869</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.9903</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99299</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99473</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99609</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99718</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99803</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99866</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.9992</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99953</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.9997</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99991</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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