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>0.99627</td><td>0</td><td>0.00048</td></tr><tr><td>2</td><td>0.99998</td><td>0.49981</td><td>0.00048</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.7483</td><td>0.12506</td></tr><tr><td>4</td><td>1</td><td>0.87443</td><td>0.28104</td></tr><tr><td>5</td><td>1</td><td>0.93715</td><td>0.42868</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96886</td><td>0.55619</td></tr><tr><td>7</td><td>1</td><td>0.98449</td><td>0.65995</td></tr><tr><td>8</td><td>1</td><td>0.99255</td><td>0.74103</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99635</td><td>0.80364</td></tr><tr><td>10</td><td>1</td><td>0.99824</td><td>0.85181</td></tr><tr><td>11</td><td>1</td><td>0.99904</td><td>0.8888</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.9994</td><td>0.91624</td></tr><tr><td>13</td><td>1</td><td>0.99967</td><td>0.9378</td></tr><tr><td>14</td><td>1</td><td>0.99983</td><td>0.9534</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96562</td></tr><tr><td>16</td><td>1</td><td>0.99993</td><td>0.97423</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.98073</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99998</td><td>0.98572</td></tr><tr><td>19</td><td>1</td><td>0.99998</td><td>0.98929</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99194</td></tr><tr><td>21(7 I)</td><td>1</td><td>0.99999</td><td>0.99402</td></tr><tr><td>22</td><td>1</td><td>0.99999</td><td>0.99572</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>0.9977</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99841</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>0.99967</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.9999</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>0.50455</td><td>0.00038</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75539</td><td>0.13064</td></tr><tr><td>4</td><td>1</td><td>0.87849</td><td>0.28962</td></tr><tr><td>5</td><td>1</td><td>0.93936</td><td>0.43995</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96977</td><td>0.56772</td></tr><tr><td>7</td><td>1</td><td>0.98513</td><td>0.66973</td></tr><tr><td>8</td><td>1</td><td>0.99253</td><td>0.7503</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99625</td><td>0.81032</td></tr><tr><td>10</td><td>1</td><td>0.99826</td><td>0.85803</td></tr><tr><td>11</td><td>1</td><td>0.99905</td><td>0.89337</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.92103</td></tr><tr><td>13</td><td>1</td><td>0.99979</td><td>0.94087</td></tr><tr><td>14</td><td>1</td><td>0.99986</td><td>0.95676</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96782</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97629</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98266</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98731</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.99098</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99334</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99494</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99627</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99723</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99794</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>0.99909</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>0.9997</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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