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>0.99603</td><td>0</td><td>0.00059</td></tr><tr><td>2</td><td>0.99997</td><td>0.50068</td><td>0.00059</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75064</td><td>0.12556</td></tr><tr><td>4</td><td>1</td><td>0.87464</td><td>0.28069</td></tr><tr><td>5</td><td>1</td><td>0.93743</td><td>0.43036</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96906</td><td>0.55848</td></tr><tr><td>7</td><td>1</td><td>0.98457</td><td>0.66022</td></tr><tr><td>8</td><td>1</td><td>0.99224</td><td>0.74298</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99651</td><td>0.80539</td></tr><tr><td>10</td><td>1</td><td>0.9984</td><td>0.85318</td></tr><tr><td>11</td><td>1</td><td>0.9992</td><td>0.88964</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.91677</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.93797</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.9546</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99991</td><td>0.96632</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.9748</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98124</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.9861</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99016</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.9926</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99456</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99616</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>0.99788</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99853</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99904</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99938</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99973</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><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>0.00043</td></tr><tr><td>2</td><td>1</td><td>0.50353</td><td>0.00043</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75468</td><td>0.12747</td></tr><tr><td>4</td><td>1</td><td>0.87892</td><td>0.28662</td></tr><tr><td>5</td><td>1</td><td>0.93994</td><td>0.43593</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97041</td><td>0.56341</td></tr><tr><td>7</td><td>1</td><td>0.98511</td><td>0.66583</td></tr><tr><td>8</td><td>1</td><td>0.99233</td><td>0.74718</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99602</td><td>0.8096</td></tr><tr><td>10</td><td>1</td><td>0.99795</td><td>0.857</td></tr><tr><td>11</td><td>1</td><td>0.99893</td><td>0.8924</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99943</td><td>0.92034</td></tr><tr><td>13</td><td>1</td><td>0.99972</td><td>0.93975</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95512</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96656</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.97576</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.98213</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98703</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99057</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99296</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99458</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>0.9971</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99808</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99861</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>0.99948</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>0.99987</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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