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>0.99662</td><td>0</td><td>0.00034</td></tr><tr><td>2</td><td>0.99998</td><td>0.49974</td><td>0.00034</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74887</td><td>0.12594</td></tr><tr><td>4</td><td>1</td><td>0.87377</td><td>0.28201</td></tr><tr><td>5</td><td>1</td><td>0.93715</td><td>0.43085</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96944</td><td>0.55881</td></tr><tr><td>7</td><td>1</td><td>0.98443</td><td>0.65978</td></tr><tr><td>8</td><td>1</td><td>0.99221</td><td>0.74096</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99616</td><td>0.80482</td></tr><tr><td>10</td><td>1</td><td>0.99805</td><td>0.85416</td></tr><tr><td>11</td><td>1</td><td>0.99899</td><td>0.89053</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99955</td><td>0.91752</td></tr><tr><td>13</td><td>1</td><td>0.99971</td><td>0.93803</td></tr><tr><td>14</td><td>1</td><td>0.99986</td><td>0.95318</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99989</td><td>0.96514</td></tr><tr><td>16</td><td>1</td><td>0.99991</td><td>0.97398</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98088</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98596</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.98954</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.9921</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99413</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99557</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99665</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>0.99814</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99875</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>0.99962</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>0.00045</td></tr><tr><td>2</td><td>1</td><td>0.50476</td><td>0.00045</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75337</td><td>0.12851</td></tr><tr><td>4</td><td>1</td><td>0.87732</td><td>0.28656</td></tr><tr><td>5</td><td>1</td><td>0.93885</td><td>0.43755</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96973</td><td>0.56418</td></tr><tr><td>7</td><td>1</td><td>0.98512</td><td>0.66751</td></tr><tr><td>8</td><td>1</td><td>0.99282</td><td>0.7479</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99631</td><td>0.81024</td></tr><tr><td>10</td><td>1</td><td>0.99813</td><td>0.85661</td></tr><tr><td>11</td><td>1</td><td>0.99908</td><td>0.89279</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99954</td><td>0.91997</td></tr><tr><td>13</td><td>1</td><td>0.99975</td><td>0.94034</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95557</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96647</td></tr><tr><td>16</td><td>1</td><td>1</td><td>0.97482</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98119</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98631</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98995</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99282</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99483</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99624</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99724</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99821</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99867</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99918</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>0.99968</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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