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>0.99621</td><td>0</td><td>0.00055</td></tr><tr><td>2</td><td>1</td><td>0.4966</td><td>0.00055</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74773</td><td>0.12434</td></tr><tr><td>4</td><td>1</td><td>0.87438</td><td>0.2796</td></tr><tr><td>5</td><td>1</td><td>0.93736</td><td>0.43006</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96846</td><td>0.55626</td></tr><tr><td>7</td><td>1</td><td>0.9847</td><td>0.65958</td></tr><tr><td>8</td><td>1</td><td>0.99203</td><td>0.74054</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99615</td><td>0.80338</td></tr><tr><td>10</td><td>1</td><td>0.99825</td><td>0.85072</td></tr><tr><td>11</td><td>1</td><td>0.99929</td><td>0.88822</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99965</td><td>0.91672</td></tr><tr><td>13</td><td>1</td><td>0.99979</td><td>0.93703</td></tr><tr><td>14</td><td>1</td><td>0.99989</td><td>0.95241</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99993</td><td>0.96435</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97337</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.9802</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99997</td><td>0.98506</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.9888</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99165</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99384</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99549</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>0.9977</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99837</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99891</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99926</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99956</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><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>0.00041</td></tr><tr><td>2</td><td>1</td><td>0.50405</td><td>0.00041</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75573</td><td>0.12846</td></tr><tr><td>4</td><td>1</td><td>0.87862</td><td>0.28822</td></tr><tr><td>5</td><td>1</td><td>0.93984</td><td>0.43764</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97</td><td>0.56545</td></tr><tr><td>7</td><td>1</td><td>0.98542</td><td>0.6682</td></tr><tr><td>8</td><td>1</td><td>0.99278</td><td>0.74867</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.9962</td><td>0.81038</td></tr><tr><td>10</td><td>1</td><td>0.99812</td><td>0.85779</td></tr><tr><td>11</td><td>1</td><td>0.99899</td><td>0.89372</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99947</td><td>0.92086</td></tr><tr><td>13</td><td>1</td><td>0.99973</td><td>0.94074</td></tr><tr><td>14</td><td>1</td><td>0.9999</td><td>0.95649</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99995</td><td>0.9678</td></tr><tr><td>16</td><td>1</td><td>0.99997</td><td>0.97608</td></tr><tr><td>17</td><td>1</td><td>1</td><td>0.98256</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98716</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99044</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99268</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99459</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99612</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99712</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99786</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99838</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99897</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99937</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>0.99988</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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