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>0.99602</td><td>0</td><td>0.0005</td></tr><tr><td>2</td><td>0.99997</td><td>0.49796</td><td>0.0005</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74933</td><td>0.1242</td></tr><tr><td>4</td><td>1</td><td>0.87481</td><td>0.2808</td></tr><tr><td>5</td><td>1</td><td>0.93832</td><td>0.42938</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96943</td><td>0.55584</td></tr><tr><td>7</td><td>1</td><td>0.98484</td><td>0.65862</td></tr><tr><td>8</td><td>1</td><td>0.99267</td><td>0.74027</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.9965</td><td>0.80266</td></tr><tr><td>10</td><td>1</td><td>0.99822</td><td>0.85251</td></tr><tr><td>11</td><td>1</td><td>0.99904</td><td>0.88911</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99955</td><td>0.91657</td></tr><tr><td>13</td><td>1</td><td>0.99973</td><td>0.93774</td></tr><tr><td>14</td><td>1</td><td>0.99983</td><td>0.95296</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99991</td><td>0.96451</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.97285</td></tr><tr><td>17</td><td>1</td><td>0.99996</td><td>0.9799</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99998</td><td>0.98522</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.98907</td></tr><tr><td>20</td><td>1</td><td>0.99999</td><td>0.99173</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>0.9958</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99689</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99781</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99839</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99898</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99932</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>0.99984</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>0.00042</td></tr><tr><td>2</td><td>1</td><td>0.50458</td><td>0.00042</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75421</td><td>0.12799</td></tr><tr><td>4</td><td>1</td><td>0.87751</td><td>0.28727</td></tr><tr><td>5</td><td>1</td><td>0.93887</td><td>0.44135</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96972</td><td>0.56894</td></tr><tr><td>7</td><td>1</td><td>0.98488</td><td>0.67079</td></tr><tr><td>8</td><td>1</td><td>0.99251</td><td>0.75026</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99629</td><td>0.81136</td></tr><tr><td>10</td><td>1</td><td>0.99819</td><td>0.85819</td></tr><tr><td>11</td><td>1</td><td>0.99915</td><td>0.89516</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99959</td><td>0.92139</td></tr><tr><td>13</td><td>1</td><td>0.99977</td><td>0.94139</td></tr><tr><td>14</td><td>1</td><td>0.99988</td><td>0.95654</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99994</td><td>0.96745</td></tr><tr><td>16</td><td>1</td><td>0.99998</td><td>0.97562</td></tr><tr><td>17</td><td>1</td><td>0.99999</td><td>0.98209</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99999</td><td>0.98704</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99007</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99278</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99475</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99621</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99722</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99808</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>0.99904</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>0.99971</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99986</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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