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>0.99611</td><td>0</td><td>0.0004</td></tr><tr><td>2</td><td>0.99999</td><td>0.49862</td><td>0.0004</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74908</td><td>0.12446</td></tr><tr><td>4</td><td>1</td><td>0.87583</td><td>0.28066</td></tr><tr><td>5</td><td>1</td><td>0.93824</td><td>0.43016</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96897</td><td>0.55654</td></tr><tr><td>7</td><td>1</td><td>0.98431</td><td>0.66052</td></tr><tr><td>8</td><td>1</td><td>0.99242</td><td>0.7405</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99654</td><td>0.80288</td></tr><tr><td>10</td><td>1</td><td>0.99839</td><td>0.84942</td></tr><tr><td>11</td><td>1</td><td>0.99923</td><td>0.88699</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99961</td><td>0.91556</td></tr><tr><td>13</td><td>1</td><td>0.99983</td><td>0.93687</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95286</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99995</td><td>0.96469</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97329</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98014</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98558</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98903</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99162</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99365</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99553</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99689</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>0.99843</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99898</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>0.99968</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><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>0.0005</td></tr><tr><td>2</td><td>1</td><td>0.50401</td><td>0.0005</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75459</td><td>0.12906</td></tr><tr><td>4</td><td>1</td><td>0.87941</td><td>0.28684</td></tr><tr><td>5</td><td>1</td><td>0.94037</td><td>0.43687</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97034</td><td>0.56647</td></tr><tr><td>7</td><td>1</td><td>0.98559</td><td>0.66717</td></tr><tr><td>8</td><td>1</td><td>0.99285</td><td>0.74697</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99625</td><td>0.80979</td></tr><tr><td>10</td><td>1</td><td>0.99789</td><td>0.8575</td></tr><tr><td>11</td><td>1</td><td>0.99893</td><td>0.89389</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99941</td><td>0.92115</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.94111</td></tr><tr><td>14</td><td>1</td><td>0.99989</td><td>0.95621</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96768</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97571</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98232</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98669</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99035</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99294</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99491</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99642</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99748</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99825</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.9988</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99924</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99957</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99975</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99987</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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