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>0.99616</td><td>0</td><td>0.00051</td></tr><tr><td>2</td><td>0.99997</td><td>0.50072</td><td>0.00051</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75244</td><td>0.12672</td></tr><tr><td>4</td><td>1</td><td>0.87557</td><td>0.28443</td></tr><tr><td>5</td><td>1</td><td>0.93735</td><td>0.43303</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96815</td><td>0.55915</td></tr><tr><td>7</td><td>1</td><td>0.98448</td><td>0.66141</td></tr><tr><td>8</td><td>1</td><td>0.99245</td><td>0.7426</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99632</td><td>0.8058</td></tr><tr><td>10</td><td>1</td><td>0.99808</td><td>0.85334</td></tr><tr><td>11</td><td>1</td><td>0.99905</td><td>0.88961</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99955</td><td>0.91651</td></tr><tr><td>13</td><td>1</td><td>0.99981</td><td>0.93741</td></tr><tr><td>14</td><td>1</td><td>0.99993</td><td>0.95355</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99998</td><td>0.96564</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97439</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98086</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98566</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98951</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99237</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99441</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99588</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99697</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.9978</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99859</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99914</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99946</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99963</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99982</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>0.00039</td></tr><tr><td>2</td><td>1</td><td>0.5063</td><td>0.00039</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75633</td><td>0.12846</td></tr><tr><td>4</td><td>1</td><td>0.87853</td><td>0.28719</td></tr><tr><td>5</td><td>1</td><td>0.94054</td><td>0.43598</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97086</td><td>0.56419</td></tr><tr><td>7</td><td>1</td><td>0.9856</td><td>0.6683</td></tr><tr><td>8</td><td>1</td><td>0.99257</td><td>0.74913</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99648</td><td>0.81131</td></tr><tr><td>10</td><td>1</td><td>0.99823</td><td>0.85955</td></tr><tr><td>11</td><td>1</td><td>0.99914</td><td>0.89531</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99957</td><td>0.92207</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.9421</td></tr><tr><td>14</td><td>1</td><td>0.99985</td><td>0.95647</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99997</td><td>0.96793</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97669</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98278</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98713</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99035</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99294</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99487</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99629</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>0.99804</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99858</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99903</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99935</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99964</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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