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>0.99585</td><td>0</td><td>0.0006</td></tr><tr><td>2</td><td>0.99999</td><td>0.50063</td><td>0.0006</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74816</td><td>0.12586</td></tr><tr><td>4</td><td>1</td><td>0.87472</td><td>0.2826</td></tr><tr><td>5</td><td>1</td><td>0.93795</td><td>0.42956</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96838</td><td>0.55691</td></tr><tr><td>7</td><td>1</td><td>0.98423</td><td>0.65983</td></tr><tr><td>8</td><td>1</td><td>0.99166</td><td>0.74054</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99587</td><td>0.80342</td></tr><tr><td>10</td><td>1</td><td>0.99787</td><td>0.85116</td></tr><tr><td>11</td><td>1</td><td>0.99883</td><td>0.88752</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99936</td><td>0.91572</td></tr><tr><td>13</td><td>1</td><td>0.99975</td><td>0.93657</td></tr><tr><td>14</td><td>1</td><td>0.99983</td><td>0.95259</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99991</td><td>0.96382</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.9728</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.97957</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99997</td><td>0.98483</td></tr><tr><td>19</td><td>1</td><td>0.99998</td><td>0.98858</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99136</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99372</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99534</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.9966</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99759</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99832</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>0.99927</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.9996</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99985</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>0.00038</td></tr><tr><td>2</td><td>1</td><td>0.50592</td><td>0.00038</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75443</td><td>0.12875</td></tr><tr><td>4</td><td>1</td><td>0.87711</td><td>0.2871</td></tr><tr><td>5</td><td>1</td><td>0.93958</td><td>0.43649</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96991</td><td>0.56486</td></tr><tr><td>7</td><td>1</td><td>0.98522</td><td>0.66884</td></tr><tr><td>8</td><td>1</td><td>0.99277</td><td>0.74905</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99629</td><td>0.81118</td></tr><tr><td>10</td><td>1</td><td>0.9983</td><td>0.85846</td></tr><tr><td>11</td><td>1</td><td>0.99907</td><td>0.89456</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99951</td><td>0.92148</td></tr><tr><td>13</td><td>1</td><td>0.9998</td><td>0.94077</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95534</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96675</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97512</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.98163</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98641</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99003</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99267</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99464</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.9962</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99732</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99808</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99875</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.9991</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99941</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>0.99986</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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