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Finding the optimal amount to Power Attack
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<blockquote data-quote="frisbeet" data-source="post: 1707079" data-attributes="member: 10287"><p>Huh huh.</p><p></p><p>If you really want it done right, I'd submit (as I have on the referenced WotC thread) that finding an exact analytic solution to the optimized PA problem is almost impossible. Problems crop up when you take into account damage reduction--critical hits is peanuts to this problem. If DR is high, such that the lower weapon damage rolls + your damage bonus doesn't overcome it, then the average weapon damage with DR is NOT = average weapon damage - DR. There are other problems which, while not impossible to solve, add a complexity which renders finding the optimum PA solution a pain in the ass. You know, all those funky feats and weapon enchantments and full attack caveats.</p><p></p><p>Ok maybe I'm overselling the difficulty a little. That's because I've done _a lot_ of work building a much less elegant but much more accurate and encompassing spreadsheet to do exactly this (optimize PA). Click sig.</p><p></p><p>Here's an example I've been posting on the WotC boards, which I was able to do with just a few mouse clicks and character parameter entry. It's for a</p><p></p><p>Barbarian1/Fighter16/ExoticWeaponMaster3</p><p></p><p>Str 26</p><p></p><p>Raging</p><p></p><p>Feats of Exotic weapon proficiency, Bastard Sword (BS); WF BS; gWF BS; WS BS; gWS BS; iC BS; power crit BS</p><p></p><p>Exotic Weapon Master stunt of Uncanny Blow</p><p></p><p>Wields +3 speed flaming burst BS</p><p></p><p>Here's his average <em>full attack</em> damage/round (<dam>), taking into account criticals with no PA (left column), and with optimum PA (right two columns, with damage from best PA listed given):</p><p></p><p>[CODE]opp AC 0PA<dam> opt PA max<dam></p><p>10 207.10 20 390.18</p><p>11 207.10 20 381.80</p><p>12 207.10 20 372.64</p><p>13 207.10 19 362.88</p><p>14 207.10 18 353.12</p><p>15 207.10 17 343.36</p><p>16 207.10 16 333.60</p><p>17 207.10 15 323.84</p><p>18 207.10 14 314.08</p><p>19 207.10 13 304.32</p><p>20 207.10 12 294.56</p><p>21 207.10 11 284.80</p><p>22 207.10 10 275.04</p><p>23 205.30 10 265.48</p><p>24 203.50 9 256.06</p><p>25 201.70 9 246.84</p><p>26 199.90 8 237.76</p><p>27 197.72 8 228.88</p><p>28 193.74 7 220.14</p><p>29 189.76 7 211.60</p><p>30 185.78 6 203.20</p><p>31 181.80 5 194.80</p><p>32 177.44 5 186.46</p><p>33 171.28 4 178.42</p><p>34 165.12 3 170.38</p><p>35 158.96 2 162.34</p><p>36 152.80 1 154.30</p><p>37 146.26 0 146.26</p><p>38 135.46 0 135.46</p><p>39 124.84 0 124.84</p><p>40 114.42 0 114.42</p><p>41 106.36 0 106.36</p><p>42 97.55 0 97.55</p><p>43 88.07 0 88.07</p><p>44 78.78 0 78.78</p><p>45 69.77 0 69.77</p><p>46 63.14 0 63.14</p><p>47 56.50 0 56.50</p><p>48 49.20 0 49.20</p><p>49 42.09 0 42.09</p><p>50 35.27 0 35.27</p><p>[/CODE]</p><p></p><p>And, if you want to see what to do with this character against any DR, well, the sheet can do that too. It's half the reason why it's so big (2.6 MB zipped).</p></blockquote><p></p>
[QUOTE="frisbeet, post: 1707079, member: 10287"] Huh huh. If you really want it done right, I'd submit (as I have on the referenced WotC thread) that finding an exact analytic solution to the optimized PA problem is almost impossible. Problems crop up when you take into account damage reduction--critical hits is peanuts to this problem. If DR is high, such that the lower weapon damage rolls + your damage bonus doesn't overcome it, then the average weapon damage with DR is NOT = average weapon damage - DR. There are other problems which, while not impossible to solve, add a complexity which renders finding the optimum PA solution a pain in the ass. You know, all those funky feats and weapon enchantments and full attack caveats. Ok maybe I'm overselling the difficulty a little. That's because I've done _a lot_ of work building a much less elegant but much more accurate and encompassing spreadsheet to do exactly this (optimize PA). Click sig. Here's an example I've been posting on the WotC boards, which I was able to do with just a few mouse clicks and character parameter entry. It's for a Barbarian1/Fighter16/ExoticWeaponMaster3 Str 26 Raging Feats of Exotic weapon proficiency, Bastard Sword (BS); WF BS; gWF BS; WS BS; gWS BS; iC BS; power crit BS Exotic Weapon Master stunt of Uncanny Blow Wields +3 speed flaming burst BS Here's his average [I]full attack[/I] damage/round (<dam>), taking into account criticals with no PA (left column), and with optimum PA (right two columns, with damage from best PA listed given): [CODE]opp AC 0PA<dam> opt PA max<dam> 10 207.10 20 390.18 11 207.10 20 381.80 12 207.10 20 372.64 13 207.10 19 362.88 14 207.10 18 353.12 15 207.10 17 343.36 16 207.10 16 333.60 17 207.10 15 323.84 18 207.10 14 314.08 19 207.10 13 304.32 20 207.10 12 294.56 21 207.10 11 284.80 22 207.10 10 275.04 23 205.30 10 265.48 24 203.50 9 256.06 25 201.70 9 246.84 26 199.90 8 237.76 27 197.72 8 228.88 28 193.74 7 220.14 29 189.76 7 211.60 30 185.78 6 203.20 31 181.80 5 194.80 32 177.44 5 186.46 33 171.28 4 178.42 34 165.12 3 170.38 35 158.96 2 162.34 36 152.80 1 154.30 37 146.26 0 146.26 38 135.46 0 135.46 39 124.84 0 124.84 40 114.42 0 114.42 41 106.36 0 106.36 42 97.55 0 97.55 43 88.07 0 88.07 44 78.78 0 78.78 45 69.77 0 69.77 46 63.14 0 63.14 47 56.50 0 56.50 48 49.20 0 49.20 49 42.09 0 42.09 50 35.27 0 35.27 [/CODE] And, if you want to see what to do with this character against any DR, well, the sheet can do that too. It's half the reason why it's so big (2.6 MB zipped). [/QUOTE]
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