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>0.996</td><td>0</td><td>0.00043</td></tr><tr><td>2</td><td>0.99999</td><td>0.50048</td><td>0.00043</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75063</td><td>0.12544</td></tr><tr><td>4</td><td>1</td><td>0.87592</td><td>0.28147</td></tr><tr><td>5</td><td>1</td><td>0.93751</td><td>0.4298</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.9681</td><td>0.55603</td></tr><tr><td>7</td><td>1</td><td>0.98434</td><td>0.65922</td></tr><tr><td>8</td><td>1</td><td>0.99233</td><td>0.74037</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99621</td><td>0.80438</td></tr><tr><td>10</td><td>1</td><td>0.9983</td><td>0.85268</td></tr><tr><td>11</td><td>1</td><td>0.99911</td><td>0.88856</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99956</td><td>0.91763</td></tr><tr><td>13</td><td>1</td><td>0.99983</td><td>0.93801</td></tr><tr><td>14</td><td>1</td><td>0.99995</td><td>0.95275</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99998</td><td>0.96482</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97326</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98015</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98507</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98871</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99161</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99355</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99515</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99639</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99744</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99825</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99873</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99921</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>0.99981</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>0.50619</td><td>0.00037</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75443</td><td>0.12995</td></tr><tr><td>4</td><td>1</td><td>0.87798</td><td>0.28631</td></tr><tr><td>5</td><td>1</td><td>0.9391</td><td>0.4378</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97021</td><td>0.56369</td></tr><tr><td>7</td><td>1</td><td>0.98541</td><td>0.66734</td></tr><tr><td>8</td><td>1</td><td>0.993</td><td>0.74908</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.9966</td><td>0.81119</td></tr><tr><td>10</td><td>1</td><td>0.99843</td><td>0.85736</td></tr><tr><td>11</td><td>1</td><td>0.99923</td><td>0.89385</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99957</td><td>0.92042</td></tr><tr><td>13</td><td>1</td><td>0.99976</td><td>0.94093</td></tr><tr><td>14</td><td>1</td><td>0.99991</td><td>0.95602</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96723</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97552</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98159</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98615</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.9897</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99246</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99445</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99591</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99711</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>0.9985</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>0.99934</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>0.99978</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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