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>0.99583</td><td>0</td><td>0.0005</td></tr><tr><td>2</td><td>0.99998</td><td>0.49664</td><td>0.0005</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74786</td><td>0.12505</td></tr><tr><td>4</td><td>1</td><td>0.87482</td><td>0.28229</td></tr><tr><td>5</td><td>1</td><td>0.93772</td><td>0.43011</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96859</td><td>0.55521</td></tr><tr><td>7</td><td>1</td><td>0.98403</td><td>0.65943</td></tr><tr><td>8</td><td>1</td><td>0.99235</td><td>0.74073</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99601</td><td>0.80413</td></tr><tr><td>10</td><td>1</td><td>0.99808</td><td>0.85287</td></tr><tr><td>11</td><td>1</td><td>0.99893</td><td>0.88925</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99951</td><td>0.91628</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.93748</td></tr><tr><td>14</td><td>1</td><td>0.99986</td><td>0.95331</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96535</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97467</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98148</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98608</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98951</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99221</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99442</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99579</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99708</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99802</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.9987</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99912</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99949</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99971</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99984</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>0.00044</td></tr><tr><td>2</td><td>1</td><td>0.5046</td><td>0.00044</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75537</td><td>0.12949</td></tr><tr><td>4</td><td>1</td><td>0.87803</td><td>0.28857</td></tr><tr><td>5</td><td>1</td><td>0.93957</td><td>0.43892</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97005</td><td>0.56628</td></tr><tr><td>7</td><td>1</td><td>0.98523</td><td>0.66956</td></tr><tr><td>8</td><td>1</td><td>0.9922</td><td>0.75066</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99604</td><td>0.8123</td></tr><tr><td>10</td><td>1</td><td>0.99796</td><td>0.85878</td></tr><tr><td>11</td><td>1</td><td>0.99899</td><td>0.89477</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99941</td><td>0.9211</td></tr><tr><td>13</td><td>1</td><td>0.99969</td><td>0.94165</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95636</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96733</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97601</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98222</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98672</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99042</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99295</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99469</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99613</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99727</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>0.99867</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99923</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>0.99969</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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