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>0.0005</td></tr><tr><td>2</td><td>0.99997</td><td>0.49771</td><td>0.0005</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74912</td><td>0.12538</td></tr><tr><td>4</td><td>1</td><td>0.87478</td><td>0.2818</td></tr><tr><td>5</td><td>1</td><td>0.93791</td><td>0.42915</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96953</td><td>0.55577</td></tr><tr><td>7</td><td>1</td><td>0.98477</td><td>0.65862</td></tr><tr><td>8</td><td>1</td><td>0.99273</td><td>0.74034</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99669</td><td>0.80283</td></tr><tr><td>10</td><td>1</td><td>0.99849</td><td>0.85114</td></tr><tr><td>11</td><td>1</td><td>0.99916</td><td>0.88778</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99957</td><td>0.9157</td></tr><tr><td>13</td><td>1</td><td>0.99983</td><td>0.9378</td></tr><tr><td>14</td><td>1</td><td>0.99992</td><td>0.95352</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99996</td><td>0.96552</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97463</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98124</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98588</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98948</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.9924</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99442</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99585</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>0.99782</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>0.99902</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99931</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99961</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>0.00042</td></tr><tr><td>2</td><td>1</td><td>0.5023</td><td>0.00042</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75215</td><td>0.12915</td></tr><tr><td>4</td><td>1</td><td>0.8762</td><td>0.28652</td></tr><tr><td>5</td><td>1</td><td>0.93891</td><td>0.43582</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96981</td><td>0.56296</td></tr><tr><td>7</td><td>1</td><td>0.9853</td><td>0.6659</td></tr><tr><td>8</td><td>1</td><td>0.99272</td><td>0.74558</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99642</td><td>0.80827</td></tr><tr><td>10</td><td>1</td><td>0.9982</td><td>0.85514</td></tr><tr><td>11</td><td>1</td><td>0.99908</td><td>0.89177</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99953</td><td>0.91923</td></tr><tr><td>13</td><td>1</td><td>0.99972</td><td>0.93964</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95529</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96694</td></tr><tr><td>16</td><td>1</td><td>0.99999</td><td>0.97505</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.9814</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98606</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98947</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.9925</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>0.99612</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>0.99793</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>0.99899</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99939</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99966</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99986</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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