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>0.99576</td><td>0</td><td>0.00045</td></tr><tr><td>2</td><td>0.99999</td><td>0.49987</td><td>0.00045</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75072</td><td>0.12614</td></tr><tr><td>4</td><td>1</td><td>0.87368</td><td>0.28303</td></tr><tr><td>5</td><td>1</td><td>0.93693</td><td>0.43211</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.9686</td><td>0.5584</td></tr><tr><td>7</td><td>1</td><td>0.98425</td><td>0.662</td></tr><tr><td>8</td><td>1</td><td>0.99261</td><td>0.74209</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99631</td><td>0.80578</td></tr><tr><td>10</td><td>1</td><td>0.9981</td><td>0.85373</td></tr><tr><td>11</td><td>1</td><td>0.99908</td><td>0.8909</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99957</td><td>0.91797</td></tr><tr><td>13</td><td>1</td><td>0.99979</td><td>0.9382</td></tr><tr><td>14</td><td>1</td><td>0.99993</td><td>0.95392</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99995</td><td>0.96518</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97396</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98035</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98541</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.98898</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99185</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99385</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.9955</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99674</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>0.99826</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99889</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>0.99971</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99987</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>0.00027</td></tr><tr><td>2</td><td>1</td><td>0.50414</td><td>0.00027</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75597</td><td>0.12871</td></tr><tr><td>4</td><td>1</td><td>0.87972</td><td>0.28839</td></tr><tr><td>5</td><td>1</td><td>0.94123</td><td>0.43852</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97074</td><td>0.56683</td></tr><tr><td>7</td><td>1</td><td>0.9853</td><td>0.67101</td></tr><tr><td>8</td><td>1</td><td>0.99273</td><td>0.74977</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99615</td><td>0.81241</td></tr><tr><td>10</td><td>1</td><td>0.99807</td><td>0.8598</td></tr><tr><td>11</td><td>1</td><td>0.99897</td><td>0.89446</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99946</td><td>0.92112</td></tr><tr><td>13</td><td>1</td><td>0.99979</td><td>0.94068</td></tr><tr><td>14</td><td>1</td><td>0.99992</td><td>0.95577</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99998</td><td>0.96694</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97518</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.9817</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98659</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99021</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99279</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99484</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.9963</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99741</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99813</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>0.99916</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99958</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99976</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99989</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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