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>0.99578</td><td>0</td><td>0.00059</td></tr><tr><td>2</td><td>0.99998</td><td>0.49649</td><td>0.00059</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.7498</td><td>0.12485</td></tr><tr><td>4</td><td>1</td><td>0.87494</td><td>0.27975</td></tr><tr><td>5</td><td>1</td><td>0.9367</td><td>0.42831</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96819</td><td>0.55643</td></tr><tr><td>7</td><td>1</td><td>0.98431</td><td>0.65975</td></tr><tr><td>8</td><td>1</td><td>0.99189</td><td>0.7397</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99584</td><td>0.80223</td></tr><tr><td>10</td><td>1</td><td>0.99779</td><td>0.84998</td></tr><tr><td>11</td><td>1</td><td>0.99884</td><td>0.88727</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99942</td><td>0.9157</td></tr><tr><td>13</td><td>1</td><td>0.99975</td><td>0.93679</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95191</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99996</td><td>0.96449</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97341</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.97976</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98497</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98834</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99107</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99341</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99508</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.9965</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99769</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.9985</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99893</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99929</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99963</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99983</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>0.00046</td></tr><tr><td>2</td><td>1</td><td>0.5052</td><td>0.00046</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75417</td><td>0.12813</td></tr><tr><td>4</td><td>1</td><td>0.87757</td><td>0.2864</td></tr><tr><td>5</td><td>1</td><td>0.93876</td><td>0.43675</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96921</td><td>0.56378</td></tr><tr><td>7</td><td>1</td><td>0.98454</td><td>0.66667</td></tr><tr><td>8</td><td>1</td><td>0.99244</td><td>0.74595</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99606</td><td>0.80894</td></tr><tr><td>10</td><td>1</td><td>0.99823</td><td>0.8568</td></tr><tr><td>11</td><td>1</td><td>0.99907</td><td>0.89361</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.9994</td><td>0.92089</td></tr><tr><td>13</td><td>1</td><td>0.99973</td><td>0.94117</td></tr><tr><td>14</td><td>1</td><td>0.99987</td><td>0.95621</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96717</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97538</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98123</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98611</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98957</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99249</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99427</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99599</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99722</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99799</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99856</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>0.99936</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>0.99989</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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