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>0.99612</td><td>0</td><td>0.00051</td></tr><tr><td>2</td><td>0.99998</td><td>0.50042</td><td>0.00051</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74967</td><td>0.12586</td></tr><tr><td>4</td><td>1</td><td>0.87436</td><td>0.28245</td></tr><tr><td>5</td><td>1</td><td>0.93684</td><td>0.43015</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96851</td><td>0.55785</td></tr><tr><td>7</td><td>1</td><td>0.98414</td><td>0.66045</td></tr><tr><td>8</td><td>1</td><td>0.99214</td><td>0.74175</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99586</td><td>0.80476</td></tr><tr><td>10</td><td>1</td><td>0.99797</td><td>0.85319</td></tr><tr><td>11</td><td>1</td><td>0.99903</td><td>0.88951</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.9995</td><td>0.91638</td></tr><tr><td>13</td><td>1</td><td>0.99975</td><td>0.93751</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95314</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99992</td><td>0.96572</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97462</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.98041</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99998</td><td>0.98523</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98915</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99214</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99418</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99577</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99685</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99775</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99838</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99894</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99943</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99965</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99985</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>0.00029</td></tr><tr><td>2</td><td>1</td><td>0.50071</td><td>0.00029</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75203</td><td>0.12835</td></tr><tr><td>4</td><td>1</td><td>0.87787</td><td>0.28658</td></tr><tr><td>5</td><td>1</td><td>0.93954</td><td>0.43686</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97046</td><td>0.56476</td></tr><tr><td>7</td><td>1</td><td>0.98526</td><td>0.66641</td></tr><tr><td>8</td><td>1</td><td>0.99299</td><td>0.7487</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99673</td><td>0.81041</td></tr><tr><td>10</td><td>1</td><td>0.99836</td><td>0.85795</td></tr><tr><td>11</td><td>1</td><td>0.99914</td><td>0.89422</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.92197</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.94223</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95653</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96779</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97584</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98233</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98686</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99028</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99284</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99484</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99626</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99736</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99801</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99852</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99903</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99945</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>0.99985</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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