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>0.996</td><td>0</td><td>0.00064</td></tr><tr><td>2</td><td>1</td><td>0.49886</td><td>0.00064</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74998</td><td>0.12516</td></tr><tr><td>4</td><td>1</td><td>0.87453</td><td>0.28184</td></tr><tr><td>5</td><td>1</td><td>0.93841</td><td>0.43046</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96862</td><td>0.55661</td></tr><tr><td>7</td><td>1</td><td>0.98426</td><td>0.66008</td></tr><tr><td>8</td><td>1</td><td>0.99213</td><td>0.73985</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99581</td><td>0.80259</td></tr><tr><td>10</td><td>1</td><td>0.99796</td><td>0.8507</td></tr><tr><td>11</td><td>1</td><td>0.99891</td><td>0.88827</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99952</td><td>0.91628</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.93636</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95256</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96402</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97316</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.97948</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99998</td><td>0.98475</td></tr><tr><td>19</td><td>1</td><td>0.99998</td><td>0.98874</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99161</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99376</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99545</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99669</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99751</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99826</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99884</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99924</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99966</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99986</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>0.0005</td></tr><tr><td>2</td><td>1</td><td>0.50424</td><td>0.0005</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75345</td><td>0.12778</td></tr><tr><td>4</td><td>1</td><td>0.87679</td><td>0.28789</td></tr><tr><td>5</td><td>1</td><td>0.93859</td><td>0.43638</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96933</td><td>0.56239</td></tr><tr><td>7</td><td>1</td><td>0.98509</td><td>0.6652</td></tr><tr><td>8</td><td>1</td><td>0.99262</td><td>0.74697</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99607</td><td>0.80893</td></tr><tr><td>10</td><td>1</td><td>0.99818</td><td>0.85676</td></tr><tr><td>11</td><td>1</td><td>0.99913</td><td>0.8935</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99958</td><td>0.92108</td></tr><tr><td>13</td><td>1</td><td>0.99981</td><td>0.94118</td></tr><tr><td>14</td><td>1</td><td>0.99994</td><td>0.95602</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99996</td><td>0.96744</td></tr><tr><td>16</td><td>1</td><td>1</td><td>0.97589</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98181</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98652</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98983</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99229</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99426</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99586</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99701</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99791</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99849</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99902</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99937</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99967</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99982</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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