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>0.99605</td><td>0</td><td>0.00047</td></tr><tr><td>2</td><td>0.99999</td><td>0.49796</td><td>0.00047</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74805</td><td>0.12582</td></tr><tr><td>4</td><td>1</td><td>0.87357</td><td>0.28052</td></tr><tr><td>5</td><td>1</td><td>0.93743</td><td>0.42976</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96915</td><td>0.55503</td></tr><tr><td>7</td><td>1</td><td>0.98437</td><td>0.65771</td></tr><tr><td>8</td><td>1</td><td>0.99219</td><td>0.74035</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99619</td><td>0.80312</td></tr><tr><td>10</td><td>1</td><td>0.99819</td><td>0.85125</td></tr><tr><td>11</td><td>1</td><td>0.99901</td><td>0.88848</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99953</td><td>0.91573</td></tr><tr><td>13</td><td>1</td><td>0.99975</td><td>0.93668</td></tr><tr><td>14</td><td>1</td><td>0.99986</td><td>0.95262</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96422</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97351</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.97995</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98506</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98923</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99205</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99408</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99572</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99686</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99789</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99851</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99897</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99931</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99954</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99978</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>0.00034</td></tr><tr><td>2</td><td>1</td><td>0.5029</td><td>0.00034</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75366</td><td>0.12808</td></tr><tr><td>4</td><td>1</td><td>0.87842</td><td>0.28954</td></tr><tr><td>5</td><td>1</td><td>0.93977</td><td>0.44083</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96991</td><td>0.56847</td></tr><tr><td>7</td><td>1</td><td>0.98465</td><td>0.67079</td></tr><tr><td>8</td><td>1</td><td>0.99254</td><td>0.75071</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99643</td><td>0.81292</td></tr><tr><td>10</td><td>1</td><td>0.99813</td><td>0.86065</td></tr><tr><td>11</td><td>1</td><td>0.999</td><td>0.89591</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99951</td><td>0.92206</td></tr><tr><td>13</td><td>1</td><td>0.9998</td><td>0.94206</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95671</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99996</td><td>0.96749</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97581</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98196</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98661</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99044</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.9931</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99501</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99629</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99721</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99809</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99869</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99917</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99947</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>0.9999</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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