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>0.99552</td><td>0</td><td>0.00047</td></tr><tr><td>2</td><td>0.99999</td><td>0.49613</td><td>0.00047</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74818</td><td>0.12599</td></tr><tr><td>4</td><td>1</td><td>0.87398</td><td>0.28138</td></tr><tr><td>5</td><td>1</td><td>0.93798</td><td>0.43105</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96885</td><td>0.55861</td></tr><tr><td>7</td><td>1</td><td>0.98425</td><td>0.66089</td></tr><tr><td>8</td><td>1</td><td>0.99223</td><td>0.74224</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99634</td><td>0.80588</td></tr><tr><td>10</td><td>1</td><td>0.99835</td><td>0.85362</td></tr><tr><td>11</td><td>1</td><td>0.99915</td><td>0.88916</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99962</td><td>0.91643</td></tr><tr><td>13</td><td>1</td><td>0.99984</td><td>0.93733</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95273</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99995</td><td>0.96458</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97349</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98077</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98553</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98914</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99209</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99405</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99545</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99668</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99764</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99847</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>0.99943</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>0.99975</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>0.50533</td><td>0.00037</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75608</td><td>0.12931</td></tr><tr><td>4</td><td>1</td><td>0.87849</td><td>0.2903</td></tr><tr><td>5</td><td>1</td><td>0.94079</td><td>0.43918</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.9708</td><td>0.56463</td></tr><tr><td>7</td><td>1</td><td>0.98558</td><td>0.66862</td></tr><tr><td>8</td><td>1</td><td>0.99317</td><td>0.74901</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99703</td><td>0.81189</td></tr><tr><td>10</td><td>1</td><td>0.99855</td><td>0.85918</td></tr><tr><td>11</td><td>1</td><td>0.99931</td><td>0.89447</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99966</td><td>0.92115</td></tr><tr><td>13</td><td>1</td><td>0.99986</td><td>0.94157</td></tr><tr><td>14</td><td>1</td><td>0.99994</td><td>0.95619</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99998</td><td>0.9678</td></tr><tr><td>16</td><td>1</td><td>0.99999</td><td>0.97585</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.982</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98692</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99024</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99281</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99479</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99626</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.9971</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99802</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99873</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99919</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99947</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99969</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99988</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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