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>0.99608</td><td>0</td><td>0.00039</td></tr><tr><td>2</td><td>0.99997</td><td>0.49763</td><td>0.00039</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74819</td><td>0.12465</td></tr><tr><td>4</td><td>1</td><td>0.87379</td><td>0.27982</td></tr><tr><td>5</td><td>1</td><td>0.93644</td><td>0.4267</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96831</td><td>0.55337</td></tr><tr><td>7</td><td>1</td><td>0.98399</td><td>0.65781</td></tr><tr><td>8</td><td>1</td><td>0.99174</td><td>0.73826</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99593</td><td>0.80236</td></tr><tr><td>10</td><td>1</td><td>0.99796</td><td>0.85168</td></tr><tr><td>11</td><td>1</td><td>0.99902</td><td>0.88864</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99948</td><td>0.91615</td></tr><tr><td>13</td><td>1</td><td>0.99981</td><td>0.93789</td></tr><tr><td>14</td><td>1</td><td>0.99989</td><td>0.95339</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96454</td></tr><tr><td>16</td><td>1</td><td>0.99999</td><td>0.97363</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98037</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98542</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98921</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99218</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99422</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99573</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99702</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99791</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99858</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>0.99933</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>0.99982</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>0.50532</td><td>0.00045</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75296</td><td>0.12879</td></tr><tr><td>4</td><td>1</td><td>0.87597</td><td>0.28803</td></tr><tr><td>5</td><td>1</td><td>0.93761</td><td>0.43736</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96953</td><td>0.56281</td></tr><tr><td>7</td><td>1</td><td>0.98503</td><td>0.66607</td></tr><tr><td>8</td><td>1</td><td>0.99263</td><td>0.74724</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99669</td><td>0.8081</td></tr><tr><td>10</td><td>1</td><td>0.99831</td><td>0.85579</td></tr><tr><td>11</td><td>1</td><td>0.99932</td><td>0.89214</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99965</td><td>0.9191</td></tr><tr><td>13</td><td>1</td><td>0.99978</td><td>0.93946</td></tr><tr><td>14</td><td>1</td><td>0.99989</td><td>0.95508</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99991</td><td>0.96676</td></tr><tr><td>16</td><td>1</td><td>0.99992</td><td>0.97501</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.98152</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99997</td><td>0.98619</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.9897</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99244</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99448</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.9959</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99696</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99767</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99839</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>0.99942</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>0.99983</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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