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>0.99573</td><td>0</td><td>0.00046</td></tr><tr><td>2</td><td>0.99997</td><td>0.49616</td><td>0.00046</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74872</td><td>0.12325</td></tr><tr><td>4</td><td>1</td><td>0.87535</td><td>0.28092</td></tr><tr><td>5</td><td>1</td><td>0.93696</td><td>0.42948</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96821</td><td>0.5565</td></tr><tr><td>7</td><td>1</td><td>0.98384</td><td>0.65982</td></tr><tr><td>8</td><td>1</td><td>0.99216</td><td>0.73935</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99615</td><td>0.8033</td></tr><tr><td>10</td><td>1</td><td>0.99812</td><td>0.85193</td></tr><tr><td>11</td><td>1</td><td>0.99899</td><td>0.88937</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99951</td><td>0.91732</td></tr><tr><td>13</td><td>1</td><td>0.99971</td><td>0.93824</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95362</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96538</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.97447</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.98076</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99997</td><td>0.98544</td></tr><tr><td>19</td><td>1</td><td>0.99998</td><td>0.98916</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99199</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99399</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99543</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99665</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.9978</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>0.99899</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.9993</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99964</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99981</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>0.00045</td></tr><tr><td>2</td><td>1</td><td>0.50445</td><td>0.00045</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75295</td><td>0.12921</td></tr><tr><td>4</td><td>1</td><td>0.87806</td><td>0.28614</td></tr><tr><td>5</td><td>1</td><td>0.93903</td><td>0.43566</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97018</td><td>0.56279</td></tr><tr><td>7</td><td>1</td><td>0.98513</td><td>0.66479</td></tr><tr><td>8</td><td>1</td><td>0.99243</td><td>0.74594</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99616</td><td>0.80795</td></tr><tr><td>10</td><td>1</td><td>0.99796</td><td>0.85568</td></tr><tr><td>11</td><td>1</td><td>0.99899</td><td>0.89196</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99948</td><td>0.91968</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.93957</td></tr><tr><td>14</td><td>1</td><td>0.99987</td><td>0.95438</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99989</td><td>0.96673</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.97542</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98157</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98622</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.98956</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.9921</td></tr><tr><td>21(7 I)</td><td>1</td><td>0.99999</td><td>0.99421</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99593</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99697</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>0.9985</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99908</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.9995</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99978</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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