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>0.99579</td><td>0</td><td>0.00061</td></tr><tr><td>2</td><td>0.99998</td><td>0.49797</td><td>0.00061</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.7485</td><td>0.12407</td></tr><tr><td>4</td><td>1</td><td>0.87355</td><td>0.27837</td></tr><tr><td>5</td><td>1</td><td>0.9356</td><td>0.42556</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96811</td><td>0.55463</td></tr><tr><td>7</td><td>1</td><td>0.98387</td><td>0.65869</td></tr><tr><td>8</td><td>1</td><td>0.99188</td><td>0.73971</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99604</td><td>0.80279</td></tr><tr><td>10</td><td>1</td><td>0.99794</td><td>0.8505</td></tr><tr><td>11</td><td>1</td><td>0.99894</td><td>0.88829</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99947</td><td>0.91544</td></tr><tr><td>13</td><td>1</td><td>0.99971</td><td>0.93656</td></tr><tr><td>14</td><td>1</td><td>0.99982</td><td>0.95237</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99991</td><td>0.96436</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.97341</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.97992</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98481</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.98822</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99132</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99384</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.9955</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99667</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99753</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99827</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99878</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99918</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99947</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99979</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>0.00037</td></tr><tr><td>2</td><td>1</td><td>0.50354</td><td>0.00037</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75471</td><td>0.1289</td></tr><tr><td>4</td><td>1</td><td>0.87968</td><td>0.28843</td></tr><tr><td>5</td><td>1</td><td>0.94025</td><td>0.43832</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97056</td><td>0.56587</td></tr><tr><td>7</td><td>1</td><td>0.98568</td><td>0.66874</td></tr><tr><td>8</td><td>1</td><td>0.99268</td><td>0.74833</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99652</td><td>0.80917</td></tr><tr><td>10</td><td>1</td><td>0.9983</td><td>0.85698</td></tr><tr><td>11</td><td>1</td><td>0.9992</td><td>0.89325</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99956</td><td>0.92112</td></tr><tr><td>13</td><td>1</td><td>0.99979</td><td>0.94046</td></tr><tr><td>14</td><td>1</td><td>0.99991</td><td>0.95543</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96648</td></tr><tr><td>16</td><td>1</td><td>0.99999</td><td>0.97527</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98155</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98632</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99013</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99262</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99477</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99625</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>0.998</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99865</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99913</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99944</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99962</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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