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Numbers Crunched! The Baseline DPR of an NON-Optimized CRB Only Fighter

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Hey all,

This is much the same deal as this thread, but for a different build. One that is not optimized and that I made trying to emulate the more average player.

Here's the rough run-down on their build:

Rough Build:

//CRB only human fighter
//longsword / shield
//Elite array
//first level feats: Power Attack, Weapon Focus (longsword)
//power attack always on
//weapon spec at 4, greater weapon spec at 15.
//greater weapon focus at 11
//improved critical at 9th
//critical focus at 13
//sword enhancements:
// +1 at 3rd
// +2 at 7
// +3 at 9th
// +4 at 12th
// +5 at 16th
//belts:
// +2 at 5th
// +4 at 11th
// +6 at 15
//tomes:
// +2 at NEVER
// +5 at NEVER
//dusty green ioun:
// NEVER
//boots of speed:
// MAYBE

The basics are that he's too busy selecting other feats, so he gets his feats later. He's not as aggressive on getting the good magic items, so those get pushed back as well. He puts a few of his HD based points (specifically, 8 and 16) into a non-Str. He still starts out with 15 Str though.

He uses a sword and board, but doesn't want to go for the offensive-shield-use feats, since that's a bit complicated and honestly, doesn't really fit his character.

This guy gets up there, gets some solid hits in, and has a nice AC (abstracted away), allowing his rogue buddy to get in there and tear up the foe with sneak attacks. Then he puts one foot on the head of his vanquished foe, strikes a heroic pose, and then goes to the tavern for some good old fashion ale and wenches.

Due to the nature of the character, I've modified the program to run it both with Power Attack always on and with it never on. I'll post both results.

This version HAS the boots of speed, which I think is sort of pushing it. But it'll be interesting. Next post will have the data without the boots of speed.

Again, I'm not posting these to prove a point (lookin' at you, "Math break down?!" thread :P), but to get data out there for what I believe to be reasonable "most optimized" and "average" fighters in the CRB only.

Calculating against CR = level, using Power Attack All the Time:

Level 01 CR: 1:
Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
DPR: 6.7925
Monster Average HP at CR 1: 15
Monster Average AC at CR 1: 12
Rounds to solo monster: 2.20831799779168
Level 02 CR: 2:
Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
DPR: 6.27
Monster Average HP at CR 2: 20
Monster Average AC at CR 2: 14
Rounds to solo monster: 3.18979266347687
Level 03 CR: 3:
Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 10.5
DPR: 7.5075
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 3.996003996004
Level 04 CR: 4:
Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 15.5
DPR: 10.23
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 3.91006842619746
Level 05 CR: 5:
Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
DPR: 13.475
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 4.08163265306122
Level 06 CR: 6:
Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
DPR: 22.1375
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 3.16205533596838
Level 07 CR: 7:
Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18.5
DPR: 25.4375
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 3.34152334152334
Level 08 CR: 8:
Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 20.5
DPR: 28.1875
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 3.54767184035477
Level 09 CR: 9:
Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
DPR: 33.4125
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 3.44182566404789
Level 10 CR: 10:
Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
DPR: 36.45
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 3.56652949245542
Level 11 CR: 11:
Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23.5
DPR: 80.37
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 1.80415577951972
Level 12 CR: 12:
Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 28.5
DPR: 90.63
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 1.76541983890544
Level 13 CR: 13:
Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
DPR: 96.17
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 1.87168555682645
Level 14 CR: 14:
Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
DPR: 96.17
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 2.07965061869606
Level 15 CR: 15:
Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 28
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30.5
DPR: 106.75
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 2.06088992974239
Level 16 CR: 16:
Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 29
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 33.5
DPR: 124.285
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 1.93104558072173
Level 17 CR: 17:
Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 134.55
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 2.0066889632107
Level 18 CR: 18:
Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 134.55
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 2.22965440356745
Level 19 CR: 19:
Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 134.55
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 2.45261984392419
Level 20 CR: 20:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 196.875
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 1.87936507936508
Level 20 CR: 21:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 183.75
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 2.17687074829932
Level 20 CR: 22:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 157.5
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 2.53968253968254
Level 20 CR: 23:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 150
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 3.2

Calculating against CR = level + 2, using Power Attack All the Time:

Level 01 CR: 3:
Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
DPR: 5.225
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 5.74162679425837
Level 02 CR: 4:
Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
DPR: 4.7025
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 8.50611376927166
Level 03 CR: 5:
Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 10.5
DPR: 5.775
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 9.52380952380952
Level 04 CR: 6:
Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 15.5
DPR: 8.525
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 8.21114369501466
Level 05 CR: 7:
Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
DPR: 11.55
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 7.35930735930736
Level 06 CR: 8:
Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
DPR: 18.2875
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 5.46821599453178
Level 07 CR: 9:
Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18.5
DPR: 19.3325
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 5.94853226432174
Level 08 CR: 10:
Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 20.5
DPR: 21.4225
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 6.0683860427121
Level 09 CR: 11:
Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
DPR: 28.4625
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 5.09442248572683
Level 10 CR: 12:
Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
DPR: 28.35
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 5.64373897707231
Level 11 CR: 13:
Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23.5
DPR: 63.45
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 2.83687943262411
Level 12 CR: 14:
Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 28.5
DPR: 76.95
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 2.59909031838856
Level 13 CR: 15:
Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
DPR: 82.01
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 2.68259968296549
Level 14 CR: 16:
Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
DPR: 82.01
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 2.9264723814169
Level 15 CR: 17:
Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 28
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30.5
DPR: 92.11
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 2.93127781999783
Level 16 CR: 18:
Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 29
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 33.5
DPR: 104.6875
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 2.86567164179104
Level 17 CR: 19:
Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 117.90375
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 2.79889316497567
Level 18 CR: 20:
Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 107.8125
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 3.43188405797101
Level 19 CR: 21:
Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
DPR: 107.8125
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 3.71014492753623
Level 20 CR: 22:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 157.5
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 2.53968253968254
Level 20 CR: 23:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 150
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 3.2
Level 20 CR: 24:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 131.25
Monster Average HP at CR 24: 520
Monster Average AC at CR 24: 42
Rounds to solo monster: 3.96190476190476
Level 20 CR: 25:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
DPR: 120
Monster Average HP at CR 25: 560
Monster Average AC at CR 25: 43
Rounds to solo monster: 4.66666666666667

Calculating against CR = level, NEVER using Power Attack:

Level 01 CR: 1:
Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 5
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
DPR: 5.775
Monster Average HP at CR 1: 15
Monster Average AC at CR 1: 12
Rounds to solo monster: 2.5974025974026
Level 02 CR: 2:
Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
DPR: 5.3625
Monster Average HP at CR 2: 20
Monster Average AC at CR 2: 14
Rounds to solo monster: 3.72960372960373
Level 03 CR: 3:
Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 8
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 8.5
DPR: 6.545
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 4.58365164247517
Level 04 CR: 4:
Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 11.5
DPR: 8.855
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 4.51722190852626
Level 05 CR: 5:
Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
DPR: 11.88
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 4.62962962962963
Level 06 CR: 6:
Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
DPR: 20.0475
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 3.4917071954109
Level 07 CR: 7:
Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
DPR: 23.1275
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 3.67527834828667
Level 08 CR: 8:
Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 18
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
DPR: 24.7225
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 4.04489837192841
Level 09 CR: 9:
Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 21
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
DPR: 29.9475
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 3.84005342683029
Level 10 CR: 10:
Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
DPR: 32.67
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 3.97918579736762
Level 11 CR: 11:
Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 25
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 17.5
DPR: 68.25
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 2.12454212454212
Level 12 CR: 12:
Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 27
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 20.5
DPR: 79.95
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 2.00125078173859
Level 13 CR: 13:
Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 29
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
DPR: 84.28
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 2.13573801613669
Level 14 CR: 14:
Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 30
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
DPR: 84.28
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 2.37304224015187
Level 15 CR: 15:
Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 32
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 22.5
DPR: 91.35
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 2.40831964969896
Level 16 CR: 16:
Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 23.5
DPR: 109.98
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 2.18221494817239
Level 17 CR: 17:
Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 36
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 117.845
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 2.29114514828801
Level 18 CR: 18:
Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 37
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 117.845
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 2.54571683143112
Level 19 CR: 19:
Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 38
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 117.845
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 2.80028851457423
Level 20 CR: 20:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 155.55
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 2.37865638058502
Level 20 CR: 21:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 153
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 2.61437908496732
Level 20 CR: 22:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 145.35
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 2.75197798417613
Level 20 CR: 23:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 141.525
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 3.39162692103869

Calculating against CR = level + 2, NEVER using Power Attack:

Level 01 CR: 3:
Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 5
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
DPR: 4.5375
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 6.61157024793388
Level 02 CR: 4:
Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
DPR: 4.125
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 9.6969696969697
Level 03 CR: 5:
Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 8
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 8.5
DPR: 5.1425
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 10.6951871657754
Level 04 CR: 6:
Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 11.5
DPR: 7.59
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 9.22266139657444
Level 05 CR: 7:
Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
DPR: 10.395
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 8.17700817700818
Level 06 CR: 8:
Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
DPR: 17.0775
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 5.85565802957107
Level 07 CR: 9:
Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
DPR: 18.3425
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 6.26959247648903
Level 08 CR: 10:
Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 18
Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
DPR: 19.9375
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 6.52037617554859
Level 09 CR: 11:
Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 21
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
DPR: 26.3175
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 5.50964187327824
Level 10 CR: 12:
Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
DPR: 26.73
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 5.98578376356154
Level 11 CR: 13:
Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 25
Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 17.5
DPR: 59.85
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 3.00751879699248
Level 12 CR: 14:
Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 27
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 20.5
DPR: 75.03
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 2.66560042649607
Level 13 CR: 15:
Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 29
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
DPR: 78.26
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 2.81114234602607
Level 14 CR: 16:
Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 30
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
DPR: 78.26
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 3.06670074111935
Level 15 CR: 17:
Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 32
Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 22.5
DPR: 85.05
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 3.17460317460317
Level 16 CR: 18:
Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 34
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 23.5
DPR: 101.05
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 2.96882731321128
Level 17 CR: 19:
Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 36
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 110.25
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 2.99319727891156
Level 18 CR: 20:
Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 37
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 105.35
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 3.51210251542477
Level 19 CR: 21:
Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 38
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
DPR: 105.35
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 3.796867584243
Level 20 CR: 22:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 145.35
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 2.75197798417613
Level 20 CR: 23:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 141.525
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 3.39162692103869
Level 20 CR: 24:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 133.875
Monster Average HP at CR 24: 520
Monster Average AC at CR 24: 42
Rounds to solo monster: 3.88422035480859
Level 20 CR: 25:
Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
DPR: 124.95
Monster Average HP at CR 25: 560
Monster Average AC at CR 25: 43
Rounds to solo monster: 4.48179271708683

Results: CR = Level, using Power Attack All the Time wrote:


Level: 1 CR: 1 DPR: 6.7925
Level: 2 CR: 2 DPR: 6.27
Level: 3 CR: 3 DPR: 7.5075
Level: 4 CR: 4 DPR: 10.23
Level: 5 CR: 5 DPR: 13.475
Level: 6 CR: 6 DPR: 22.1375
Level: 7 CR: 7 DPR: 25.4375
Level: 8 CR: 8 DPR: 28.1875
Level: 9 CR: 9 DPR: 33.4125
Level: 10 CR: 10 DPR: 36.45
Level: 11 CR: 11 DPR: 80.37
Level: 12 CR: 12 DPR: 90.63
Level: 13 CR: 13 DPR: 96.17
Level: 14 CR: 14 DPR: 96.17
Level: 15 CR: 15 DPR: 106.75
Level: 16 CR: 16 DPR: 124.285
Level: 17 CR: 17 DPR: 134.55
Level: 18 CR: 18 DPR: 134.55
Level: 19 CR: 19 DPR: 134.55
Level: 20 CR: 20 DPR: 196.875
Level: 20 CR: 21 DPR: 183.75
Level: 20 CR: 22 DPR: 157.5
Level: 20 CR: 23 DPR: 150
Results: CR = Level + 2, using Power Attack All the Time wrote:


Level: 1 CR: 3 DPR: 5.225
Level: 2 CR: 4 DPR: 4.7025
Level: 3 CR: 5 DPR: 5.775
Level: 4 CR: 6 DPR: 8.525
Level: 5 CR: 7 DPR: 11.55
Level: 6 CR: 8 DPR: 18.2875
Level: 7 CR: 9 DPR: 19.3325
Level: 8 CR: 10 DPR: 21.4225
Level: 9 CR: 11 DPR: 28.4625
Level: 10 CR: 12 DPR: 28.35
Level: 11 CR: 13 DPR: 63.45
Level: 12 CR: 14 DPR: 76.95
Level: 13 CR: 15 DPR: 82.01
Level: 14 CR: 16 DPR: 82.01
Level: 15 CR: 17 DPR: 92.11
Level: 16 CR: 18 DPR: 104.6875
Level: 17 CR: 19 DPR: 117.90375
Level: 18 CR: 20 DPR: 107.8125
Level: 19 CR: 21 DPR: 107.8125
Level: 20 CR: 22 DPR: 157.5
Level: 20 CR: 23 DPR: 150
Level: 20 CR: 24 DPR: 131.25
Level: 20 CR: 25 DPR: 120
Results: CR = Level, NEVER using Power Attack wrote:


Level: 1 CR: 1 DPR: 5.775
Level: 2 CR: 2 DPR: 5.3625
Level: 3 CR: 3 DPR: 6.545
Level: 4 CR: 4 DPR: 8.855
Level: 5 CR: 5 DPR: 11.88
Level: 6 CR: 6 DPR: 20.0475
Level: 7 CR: 7 DPR: 23.1275
Level: 8 CR: 8 DPR: 24.7225
Level: 9 CR: 9 DPR: 29.9475
Level: 10 CR: 10 DPR: 32.67
Level: 11 CR: 11 DPR: 68.25
Level: 12 CR: 12 DPR: 79.95
Level: 13 CR: 13 DPR: 84.28
Level: 14 CR: 14 DPR: 84.28
Level: 15 CR: 15 DPR: 91.35
Level: 16 CR: 16 DPR: 109.98
Level: 17 CR: 17 DPR: 117.845
Level: 18 CR: 18 DPR: 117.845
Level: 19 CR: 19 DPR: 117.845
Level: 20 CR: 20 DPR: 155.55
Level: 20 CR: 21 DPR: 153
Level: 20 CR: 22 DPR: 145.35
Level: 20 CR: 23 DPR: 141.525
Results: CR = Level + 2, NEVER using Power Attack wrote:


Level: 1 CR: 3 DPR: 4.5375
Level: 2 CR: 4 DPR: 4.125
Level: 3 CR: 5 DPR: 5.1425
Level: 4 CR: 6 DPR: 7.59
Level: 5 CR: 7 DPR: 10.395
Level: 6 CR: 8 DPR: 17.0775
Level: 7 CR: 9 DPR: 18.3425
Level: 8 CR: 10 DPR: 19.9375
Level: 9 CR: 11 DPR: 26.3175
Level: 10 CR: 12 DPR: 26.73
Level: 11 CR: 13 DPR: 59.85
Level: 12 CR: 14 DPR: 75.03
Level: 13 CR: 15 DPR: 78.26
Level: 14 CR: 16 DPR: 78.26
Level: 15 CR: 17 DPR: 85.05
Level: 16 CR: 18 DPR: 101.05
Level: 17 CR: 19 DPR: 110.25
Level: 18 CR: 20 DPR: 105.35
Level: 19 CR: 21 DPR: 105.35
Level: 20 CR: 22 DPR: 145.35
Level: 20 CR: 23 DPR: 141.525
Level: 20 CR: 24 DPR: 133.875
Level: 20 CR: 25 DPR: 124.95

Highlights:

  • Again, level 11 is pretty interesting. Enough so that I'm beginning to wonder if there's a bug in my program. I'll double check that.

    tl;dr: Level 11.

    •

    Here's the data without the boots of speed:

    Calculating against CR = level, using Power Attack All the Time:

    Level 01 CR: 1:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
    DPR: 6.7925
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 2.20831799779168
    Level 02 CR: 2:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
    DPR: 6.27
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 3.18979266347687
    Level 03 CR: 3:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 10.5
    DPR: 7.5075
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.996003996004
    Level 04 CR: 4:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 15.5
    DPR: 10.23
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 3.91006842619746
    Level 05 CR: 5:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
    DPR: 13.475
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 4.08163265306122
    Level 06 CR: 6:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
    DPR: 22.1375
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 3.16205533596838
    Level 07 CR: 7:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18.5
    DPR: 25.4375
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 3.34152334152334
    Level 08 CR: 8:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 20.5
    DPR: 28.1875
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 3.54767184035477
    Level 09 CR: 9:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
    DPR: 33.4125
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 3.44182566404789
    Level 10 CR: 10:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
    DPR: 36.45
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 3.56652949245542
    Level 11 CR: 11:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 21
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23.5
    DPR: 50.76
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 2.85657998423956
    Level 12 CR: 12:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -4 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 28.5
    DPR: 56.43
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 2.83537125642389
    Level 13 CR: 13:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
    DPR: 60.18
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 2.99102691924227
    Level 14 CR: 14:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
    DPR: 60.18
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 3.32336324360253
    Level 15 CR: 15:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 27
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30.5
    DPR: 67.71
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 3.2491507901344
    Level 16 CR: 16:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -5 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 33.5
    DPR: 79.64625
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 3.01332454447008
    Level 17 CR: 17:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 30
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 90.045
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 2.99850074962519
    Level 18 CR: 18:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 90.045
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 3.33166749958354
    Level 19 CR: 19:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 90.045
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 3.6648342495419
    Level 20 CR: 20:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 135
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 2.74074074074074
    Level 20 CR: 21:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 123.75
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 3.23232323232323
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 106.875
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 3.74269005847953
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 101.25
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 4.74074074074074

    Calculating against CR = level + 2, using Power Attack All the Time:

    Level 01 CR: 3:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
    DPR: 5.225
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 5.74162679425837
    Level 02 CR: 4:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 9.5
    DPR: 4.7025
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 8.50611376927166
    Level 03 CR: 5:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 2 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 10.5
    DPR: 5.775
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 9.52380952380952
    Level 04 CR: 6:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 15.5
    DPR: 8.525
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 8.21114369501466
    Level 05 CR: 7:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
    DPR: 11.55
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 7.35930735930736
    Level 06 CR: 8:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 17.5
    DPR: 18.2875
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 5.46821599453178
    Level 07 CR: 9:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 4 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18.5
    DPR: 19.3325
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 5.94853226432174
    Level 08 CR: 10:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 20.5
    DPR: 21.4225
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 6.0683860427121
    Level 09 CR: 11:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
    DPR: 28.4625
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 5.09442248572683
    Level 10 CR: 12:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 22.5
    DPR: 28.35
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 5.64373897707231
    Level 11 CR: 13:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 21
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23.5
    DPR: 38.07
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 4.72813238770686
    Level 12 CR: 14:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -4 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 28.5
    DPR: 46.17
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 4.33181719731427
    Level 13 CR: 15:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
    DPR: 49.56
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 4.43906376109766
    Level 14 CR: 16:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 29.5
    DPR: 49.56
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 4.84261501210654
    Level 15 CR: 17:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 27
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 8 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30.5
    DPR: 56.73
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 4.75938656795346
    Level 16 CR: 18:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) -5 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 33.5
    DPR: 64.06875
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 4.68247000292654
    Level 17 CR: 19:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 30
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 74.0025
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 4.45930880713489
    Level 18 CR: 20:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 65.98125
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 5.60765368949512
    Level 19 CR: 21:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +10 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 34.5
    DPR: 65.98125
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 6.0623283129677
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 106.875
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 3.74269005847953
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 101.25
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 4.74074074074074
    Level 20 CR: 24:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 82.5
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 6.3030303030303
    Level 20 CR: 25:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 37.5
    DPR: 73.125
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 7.65811965811966

    Calculating against CR = level, NEVER using Power Attack:

    Level 01 CR: 1:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
    DPR: 5.775
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 2.5974025974026
    Level 02 CR: 2:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
    DPR: 5.3625
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 3.72960372960373
    Level 03 CR: 3:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 8.5
    DPR: 6.545
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 4.58365164247517
    Level 04 CR: 4:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 11.5
    DPR: 8.855
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 4.51722190852626
    Level 05 CR: 5:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
    DPR: 11.88
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 4.62962962962963
    Level 06 CR: 6:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
    DPR: 20.0475
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 3.4917071954109
    Level 07 CR: 7:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
    DPR: 23.1275
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 3.67527834828667
    Level 08 CR: 8:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
    DPR: 24.7225
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 4.04489837192841
    Level 09 CR: 9:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 21
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
    DPR: 29.9475
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 3.84005342683029
    Level 10 CR: 10:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
    DPR: 32.67
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 3.97918579736762
    Level 11 CR: 11:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 17.5
    DPR: 46.2
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.13852813852814
    Level 12 CR: 12:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 20.5
    DPR: 54.12
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 2.95639320029564
    Level 13 CR: 13:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
    DPR: 57.19
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 3.14740339220143
    Level 14 CR: 14:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
    DPR: 57.19
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 3.49711488022382
    Level 15 CR: 15:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 22.5
    DPR: 62.775
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 3.50457984866587
    Level 16 CR: 16:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 23.5
    DPR: 78.96
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 3.03951367781155
    Level 17 CR: 17:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 86.73
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 3.11310965063992
    Level 18 CR: 18:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 36
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 86.73
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 3.45901072293324
    Level 19 CR: 19:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 37
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 86.73
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 3.80491179522657
    Level 20 CR: 20:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 118.575
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 3.12038794012229
    Level 20 CR: 21:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 114.75
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 3.48583877995643
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 107.1
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 3.73482726423903
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 103.275
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 4.6477850399419

    Calculating against CR = level + 2, NEVER using Power Attack:

    Level 01 CR: 3:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
    DPR: 4.5375
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 6.61157024793388
    Level 02 CR: 4:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 7.5
    DPR: 4.125
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 9.6969696969697
    Level 03 CR: 5:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +3 (Str Bonus) +0 (weapon training) +0 (weapon spec): 8.5
    DPR: 5.1425
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 10.6951871657754
    Level 04 CR: 6:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +4 (Str Bonus) +0 (weapon training) +2 (weapon spec): 11.5
    DPR: 7.59
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 9.22266139657444
    Level 05 CR: 7:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
    DPR: 10.395
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 8.17700817700818
    Level 06 CR: 8:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 13.5
    DPR: 17.0775
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 5.85565802957107
    Level 07 CR: 9:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
    DPR: 18.3425
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 6.26959247648903
    Level 08 CR: 10:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +1 (weapon training) +2 (weapon spec): 14.5
    DPR: 19.9375
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 6.52037617554859
    Level 09 CR: 11:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 21
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
    DPR: 26.3175
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 5.50964187327824
    Level 10 CR: 12:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +5 (Str Bonus) +2 (weapon training) +2 (weapon spec): 16.5
    DPR: 26.73
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 5.98578376356154
    Level 11 CR: 13:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +2 (weapon spec): 17.5
    DPR: 37.8
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 4.76190476190476
    Level 12 CR: 14:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +2 (weapon training) +4 (weapon spec): 20.5
    DPR: 47.97
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 4.16927246195539
    Level 13 CR: 15:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
    DPR: 51.6
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 4.26356589147287
    Level 14 CR: 16:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +3 (weapon training) +4 (weapon spec): 21.5
    DPR: 51.6
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 4.65116279069767
    Level 15 CR: 17:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 22.5
    DPR: 56.925
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 4.74308300395257
    Level 16 CR: 18:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +3 (weapon training) 0 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +3 (weapon training) +4 (weapon spec): 23.5
    DPR: 70.03
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 4.2838783378552
    Level 17 CR: 19:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 77.665
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 4.24901821927509
    Level 18 CR: 20:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 36
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 73.01
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 5.0677989316532
    Level 19 CR: 21:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 37
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +4 (weapon training) +4 (weapon spec): 24.5
    DPR: 73.01
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 5.47870154773319
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 107.1
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 3.73482726423903
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 103.275
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 4.6477850399419
    Level 20 CR: 24:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 91.8
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 5.6644880174292
    Level 20 CR: 25:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +0 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +8 (Str Bonus) +4 (weapon training) +4 (weapon spec): 25.5
    DPR: 84.15
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 6.65478312537136

    Results: CR = Level, using Power Attack All the Time wrote:


    Level: 1 CR: 1 DPR: 6.7925
    Level: 2 CR: 2 DPR: 6.27
    Level: 3 CR: 3 DPR: 7.5075
    Level: 4 CR: 4 DPR: 10.23
    Level: 5 CR: 5 DPR: 13.475
    Level: 6 CR: 6 DPR: 22.1375
    Level: 7 CR: 7 DPR: 25.4375
    Level: 8 CR: 8 DPR: 28.1875
    Level: 9 CR: 9 DPR: 33.4125
    Level: 10 CR: 10 DPR: 36.45
    Level: 11 CR: 11 DPR: 50.76
    Level: 12 CR: 12 DPR: 56.43
    Level: 13 CR: 13 DPR: 60.18
    Level: 14 CR: 14 DPR: 60.18
    Level: 15 CR: 15 DPR: 67.71
    Level: 16 CR: 16 DPR: 79.64625
    Level: 17 CR: 17 DPR: 90.045
    Level: 18 CR: 18 DPR: 90.045
    Level: 19 CR: 19 DPR: 90.045
    Level: 20 CR: 20 DPR: 135
    Level: 20 CR: 21 DPR: 123.75
    Level: 20 CR: 22 DPR: 106.875
    Level: 20 CR: 23 DPR: 101.25
    Results: CR = Level + 2, using Power Attack All the Time wrote:


    Level: 1 CR: 3 DPR: 5.225
    Level: 2 CR: 4 DPR: 4.7025
    Level: 3 CR: 5 DPR: 5.775
    Level: 4 CR: 6 DPR: 8.525
    Level: 5 CR: 7 DPR: 11.55
    Level: 6 CR: 8 DPR: 18.2875
    Level: 7 CR: 9 DPR: 19.3325
    Level: 8 CR: 10 DPR: 21.4225
    Level: 9 CR: 11 DPR: 28.4625
    Level: 10 CR: 12 DPR: 28.35
    Level: 11 CR: 13 DPR: 38.07
    Level: 12 CR: 14 DPR: 46.17
    Level: 13 CR: 15 DPR: 49.56
    Level: 14 CR: 16 DPR: 49.56
    Level: 15 CR: 17 DPR: 56.73
    Level: 16 CR: 18 DPR: 64.06875
    Level: 17 CR: 19 DPR: 74.0025
    Level: 18 CR: 20 DPR: 65.98125
    Level: 19 CR: 21 DPR: 65.98125
    Level: 20 CR: 22 DPR: 106.875
    Level: 20 CR: 23 DPR: 101.25
    Level: 20 CR: 24 DPR: 82.5
    Level: 20 CR: 25 DPR: 73.125
    Results: CR = Level, NEVER using Power Attack wrote:


    Level: 1 CR: 1 DPR: 5.775
    Level: 2 CR: 2 DPR: 5.3625
    Level: 3 CR: 3 DPR: 6.545
    Level: 4 CR: 4 DPR: 8.855
    Level: 5 CR: 5 DPR: 11.88
    Level: 6 CR: 6 DPR: 20.0475
    Level: 7 CR: 7 DPR: 23.1275
    Level: 8 CR: 8 DPR: 24.7225
    Level: 9 CR: 9 DPR: 29.9475
    Level: 10 CR: 10 DPR: 32.67
    Level: 11 CR: 11 DPR: 46.2
    Level: 12 CR: 12 DPR: 54.12
    Level: 13 CR: 13 DPR: 57.19
    Level: 14 CR: 14 DPR: 57.19
    Level: 15 CR: 15 DPR: 62.775
    Level: 16 CR: 16 DPR: 78.96
    Level: 17 CR: 17 DPR: 86.73
    Level: 18 CR: 18 DPR: 86.73
    Level: 19 CR: 19 DPR: 86.73
    Level: 20 CR: 20 DPR: 118.575
    Level: 20 CR: 21 DPR: 114.75
    Level: 20 CR: 22 DPR: 107.1
    Level: 20 CR: 23 DPR: 103.275
    Results: CR = Level + 2, NEVER using Power Attack wrote:


    Level: 1 CR: 3 DPR: 4.5375
    Level: 2 CR: 4 DPR: 4.125
    Level: 3 CR: 5 DPR: 5.1425
    Level: 4 CR: 6 DPR: 7.59
    Level: 5 CR: 7 DPR: 10.395
    Level: 6 CR: 8 DPR: 17.0775
    Level: 7 CR: 9 DPR: 18.3425
    Level: 8 CR: 10 DPR: 19.9375
    Level: 9 CR: 11 DPR: 26.3175
    Level: 10 CR: 12 DPR: 26.73
    Level: 11 CR: 13 DPR: 37.8
    Level: 12 CR: 14 DPR: 47.97
    Level: 13 CR: 15 DPR: 51.6
    Level: 14 CR: 16 DPR: 51.6
    Level: 15 CR: 17 DPR: 56.925
    Level: 16 CR: 18 DPR: 70.03
    Level: 17 CR: 19 DPR: 77.665
    Level: 18 CR: 20 DPR: 73.01
    Level: 19 CR: 21 DPR: 73.01
    Level: 20 CR: 22 DPR: 107.1
    Level: 20 CR: 23 DPR: 103.275
    Level: 20 CR: 24 DPR: 91.8
    Level: 20 CR: 25 DPR: 84.15

    Here are the results of using a greatsword, but keeping the progression the same as the sword-and-board otherwise.

    Calculating against CR = level, using Power Attack All the Time:

    Level 01 CR: 1:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 10.01
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 1.4985014985015
    Level 02 CR: 2:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 9.24
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 2.16450216450216
    Level 03 CR: 3:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 15
    DPR: 10.725
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 2.7972027972028
    Level 04 CR: 4:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 22
    DPR: 14.52
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 2.75482093663912
    Level 05 CR: 5:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 18.48
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 2.97619047619048
    Level 06 CR: 6:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 30.36
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 2.30566534914361
    Level 07 CR: 7:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 25
    DPR: 34.375
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 2.47272727272727
    Level 08 CR: 8:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 28
    DPR: 38.5
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 2.5974025974026
    Level 09 CR: 9:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +2 (weapon training) +2 (weapon spec): 30
    DPR: 44.55
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 2.58136924803591
    Level 10 CR: 10:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +2 (weapon training) +2 (weapon spec): 30
    DPR: 48.6
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 2.67489711934156
    Level 11 CR: 11:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 109.44
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 1.3249269005848
    Level 12 CR: 12:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +2 (weapon training) +4 (weapon spec): 38
    DPR: 120.84
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 1.32406487917908
    Level 13 CR: 13:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +3 (weapon training) +4 (weapon spec): 39
    DPR: 127.14
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.41576215195847
    Level 14 CR: 14:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +3 (weapon training) +4 (weapon spec): 39
    DPR: 127.14
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.57306905773163
    Level 15 CR: 15:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 140
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.57142857142857
    Level 16 CR: 16:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 44
    DPR: 163.24
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.47022788532222
    Level 17 CR: 17:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 175.5
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.53846153846154
    Level 18 CR: 18:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 175.5
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.70940170940171
    Level 19 CR: 19:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 175.5
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.88034188034188
    Level 20 CR: 20:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 262.5
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.40952380952381
    Level 20 CR: 21:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 245
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.63265306122449
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 210
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.9047619047619
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 200
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.4

    Calculating against CR = level + 2, using Power Attack All the Time:

    Level 01 CR: 3:
    Avg longsword to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 7.7
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.8961038961039
    Level 02 CR: 4:
    Avg longsword to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 6.93
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 5.77200577200577
    Level 03 CR: 5:
    Avg longsword to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus) +0 (weapon training) +0 (weapon spec): 15
    DPR: 8.25
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 6.66666666666667
    Level 04 CR: 6:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 22
    DPR: 12.1
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 5.78512396694215
    Level 05 CR: 7:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 15.84
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 5.36616161616162
    Level 06 CR: 8:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 25.08
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 3.98724082934609
    Level 07 CR: 9:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 25
    DPR: 26.125
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 4.40191387559809
    Level 08 CR: 10:
    Avg longsword to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 15
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 28
    DPR: 29.26
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 4.44292549555708
    Level 09 CR: 11:
    Avg longsword to-hit: +9 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 18
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +2 (weapon training) +2 (weapon spec): 30
    DPR: 37.95
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.82081686429513
    Level 10 CR: 12:
    Avg longsword to-hit: +10 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus) +2 (weapon training) +2 (weapon spec): 30
    DPR: 37.8
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 4.23280423280423
    Level 11 CR: 13:
    Avg longsword to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 86.4
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 2.08333333333333
    Level 12 CR: 14:
    Avg longsword to-hit: +12 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +2 (weapon training) +4 (weapon spec): 38
    DPR: 102.6
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.94931773879142
    Level 13 CR: 15:
    Avg longsword to-hit: +13 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +3 (weapon training) +4 (weapon spec): 39
    DPR: 108.42
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 2.029145914038
    Level 14 CR: 16:
    Avg longsword to-hit: +14 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +9 (Str Bonus) +3 (weapon training) +4 (weapon spec): 39
    DPR: 108.42
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 2.21361372440509
    Level 15 CR: 17:
    Avg longsword to-hit: +15 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 120.8
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 2.23509933774834
    Level 16 CR: 18:
    Avg longsword to-hit: +16 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 44
    DPR: 137.5
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 2.18181818181818
    Level 17 CR: 19:
    Avg longsword to-hit: +17 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 153.7875
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 2.14581809314801
    Level 18 CR: 20:
    Avg longsword to-hit: +18 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 32
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 140.625
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 2.63111111111111
    Level 19 CR: 21:
    Avg longsword to-hit: +19 (BAB) +7 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +10 (Str Bonus) +4 (weapon training) +4 (weapon spec): 45
    DPR: 140.625
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 2.84444444444444
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 210
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.9047619047619
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 200
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.4
    Level 20 CR: 24:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 175
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 2.97142857142857
    Level 20 CR: 25:
    Avg longsword to-hit: +20 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +12 (Str Bonus) +4 (weapon training) +4 (weapon spec): 50
    DPR: 160
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 3.5

    Results: CR = Level, using Power Attack All the Time wrote:


    Level: 1 CR: 1 DPR: 10.01
    Level: 2 CR: 2 DPR: 9.24
    Level: 3 CR: 3 DPR: 10.725
    Level: 4 CR: 4 DPR: 14.52
    Level: 5 CR: 5 DPR: 18.48
    Level: 6 CR: 6 DPR: 30.36
    Level: 7 CR: 7 DPR: 34.375
    Level: 8 CR: 8 DPR: 38.5
    Level: 9 CR: 9 DPR: 44.55
    Level: 10 CR: 10 DPR: 48.6
    Level: 11 CR: 11 DPR: 109.44
    Level: 12 CR: 12 DPR: 120.84
    Level: 13 CR: 13 DPR: 127.14
    Level: 14 CR: 14 DPR: 127.14
    Level: 15 CR: 15 DPR: 140
    Level: 16 CR: 16 DPR: 163.24
    Level: 17 CR: 17 DPR: 175.5
    Level: 18 CR: 18 DPR: 175.5
    Level: 19 CR: 19 DPR: 175.5
    Level: 20 CR: 20 DPR: 262.5
    Level: 20 CR: 21 DPR: 245
    Level: 20 CR: 22 DPR: 210
    Level: 20 CR: 23 DPR: 200
    Results: CR = Level + 2, using Power Attack All the Time wrote:


    Level: 1 CR: 3 DPR: 7.7
    Level: 2 CR: 4 DPR: 6.93
    Level: 3 CR: 5 DPR: 8.25
    Level: 4 CR: 6 DPR: 12.1
    Level: 5 CR: 7 DPR: 15.84
    Level: 6 CR: 8 DPR: 25.08
    Level: 7 CR: 9 DPR: 26.125
    Level: 8 CR: 10 DPR: 29.26
    Level: 9 CR: 11 DPR: 37.95
    Level: 10 CR: 12 DPR: 37.8
    Level: 11 CR: 13 DPR: 86.4
    Level: 12 CR: 14 DPR: 102.6
    Level: 13 CR: 15 DPR: 108.42
    Level: 14 CR: 16 DPR: 108.42
    Level: 15 CR: 17 DPR: 120.8
    Level: 16 CR: 18 DPR: 137.5
    Level: 17 CR: 19 DPR: 153.7875
    Level: 18 CR: 20 DPR: 140.625
    Level: 19 CR: 21 DPR: 140.625
    Level: 20 CR: 22 DPR: 210
    Level: 20 CR: 23 DPR: 200
    Level: 20 CR: 24 DPR: 175
    Level: 20 CR: 25 DPR: 160

    Liberty's Edge

    Not horrible.

    Fighters are quite playable, even unoptimized...though hardly compelling without a solid concept.
    Liberty's Edge

    Interesting. Though, I am curious as to why you have the long sword damage listed as 2d4 instead of 1d8? You have the same in the greatsword lists, though I wondered if they were copy/paste errors.

    Copy and paste error. That damage is hard coded. Doesn't interact with the actual calculations :-)

    Any intention of doing this kind of thing with any other classes?

    This is great and informative, I would like to see it in comparison to other core classes.
    EldonG wrote:

    Not horrible.

    Fighters are quite playable, even unoptimized...though hardly compelling without a solid concept.

    That is a dubious claim given the calculations assume the fighter is getting their full attack each round. The have no native way to gain Pounce and at higher levels flying and teleporting enemies become increasingly common.

    Having the numbers is certainly useful but I would be very cautious about claiming they on their own will keep a fighter relevant at any level.
    BuzzardB wrote:

    Any intention of doing this kind of thing with any other classes?

    This is great and informative, I would like to see it in comparison to other core classes.

    If I can come up with a way to fairly add in uses per day abilities or abilities that can't always be used, then probably. Problem is, that's just about every other class but the monk.

    And I'd really rather not this thread turn into "fighters suck". There are many threads to talk about that in.

    A fighter full attack is what people seem to gauge their DPR next too.
    3 people marked this as a favorite.

    My experience playing with two players that make a lot of poor feat choices etc is they characters can for the most part handle cr appropriate encounters. Part of this is what when dealing with fighters and barbarians they seem to grasp the basics 2h weapon pa etc or weapon spec for fightersbfairly readily. In the case of a high lvl barb as long as they have pa.. they could honesly kill a dragon with a spoon as long as they have pa and a magic spoon.

    If all your doing is I hit it they both can do that well as long as they have the basics. It (at least in my experience) seemed to be all the feats that givebthem stuff to do situationally. Ie any control sruff they either did not have it or forgot they did.

    Anyhow I think even un optomized fighters can be fine I think (usint a basket ball analogy) that some players assume the game was intended to be played like they are a top paid nba player while the core game is written for high school basket ball.

    Correct me if im wrong but isnt an equal CR encounter supposed to use up like 25% of a 4 man party's resources for the day?

    How is that possible if a fighter can solo it in 2-3 rounds?
    Question wrote:

    Correct me if im wrong but isnt an equal CR encounter supposed to use up like 25% of a 4 man party's resources for the day?

    How is that possible if a fighter can solo it in 2-3 rounds?

    I believe that was a 3.5 Mechanic and wasn't even true then. Also these calculations I believe assume the creature isn't hounding the Fighter, terrain, or other effects.

    So how many equal CR encounters is a party supposed to take on a day?
    Question wrote:
    So how many equal CR encounters is a party supposed to take on a day?

    It varies by party, optimization, PB, and tactics. The DM needs to feel it out slowly or however many the Players think they can take heh.

    Dark Archive
    Question wrote:

    Correct me if im wrong but isnt an equal CR encounter supposed to use up like 25% of a 4 man party's resources for the day?

    How is that possible if a fighter can solo it in 2-3 rounds?

    The straightforward answer is that the fighter doesn't solo it in 2-3 rounds - the fighter does enough damage to kill it in 2-3 rounds. The maths here don't take into account the damage the damage the fighter is taking (the fighter's main expendable resource) and, ergo, the healing the fighter requires. What's the rest of the party doing in this situation? Creating the conditions to allow the fighter to do said damage, presumably.

    This isn't a criticism, I'm just answering the question.
    Sovereign Court

    Well a fighter can indeed solo a monster equal his cr in 2-3 rounds if all you are doing is hitting each other like you are in a console rpg, taking turns by turns.

    Monsters are monsters for a reason, they each have different tactics and abilities to actually take down their opponents and most of the time terrain advantage. Like you aren't going to fight an ice elemental near a volcano for example or a shadow demon in bright day light.

    Again great compilation of data Cheapy.

    How would the data look if the fighter started with 18 strength and was using a greatsword? Assuming less than optimal feat choices (like no weapon focus), but still putting level increases into strength.

    I was going to make a lame joke along the lines of "Not optimised?! He's got Power Attack and a decent weapon!" but I think Cheapy has done this rather well. Even a halfling could manage 15 strength and Power Attack, and with their size bonus to attack rolls the numbers would look the same. And even then Cheapy ran the numbers for us without Power Attack.

    With regards to the number of rounds to solo a monster, think of it more as: number of rounds worth of full attack needed for just that fighter to dish out enough damage kill the monster. What the rest of the party does is up to them, but these calculations are about the fighter and this is what he does.

    This is neat. What's the deal with lv11? Tacking a -10 attack onto the end of a full/full/-5 routine cannot possibly be more than doubling the damage by itself, yet the damage seems to more than double (at some cases nearly tripling) at 11th level in several cases.

    Marthkus wrote:
    A fighter full attack is what people seem to gauge their DPR next too.

    It's what theorycraft builds posted to the boards have begun to gauge their DPR to lately.

    A while ago when I first started to read threads about this (MiB's threads) it was customary to provide standard action DPR as well (as well as occasionally numbers for the backup mode of attack, such as a greatsword wielder's bow), which helped mitigate issues that come with a myopic full attack focus. It seems to have dropped out of fashion however.

    For what it's worth, I've been thinking about estimating the frequency of primary weapon full attacks for some time (as opposed to: backup/ranged weapon full attacks, standard actions, etc etc). I've started collecting some data from my own game (albeit anecdotal, DM-dependent, etc) and for the combats I've so far gone over with a 14th level party including two melee fighters (neither with pounce or similar), the fighters got 39 turns including eight full attacks with a primary weapon and seven full attacks with a secondary weapon (ranged, backup, etc).

    Which would give a rate of ~20.5% probability of being able to full attack with a primary weapon. Lower than I was expecting, and 39 turns is not yet a large sample size, but data collection is time consuming. If I had to guess I'd say a larger sample size would cause the chance of full attack to rise to at least 25%.

    Which still suggests it may be severely problematic to gauge effectiveness only by full attack DPR for any character without Pounce or a similar way to ensure a greater than normal amount of full attacks (archery comes to mind).
    Liberty's Edge

    With a coherent plan, it's even possible to build a fighter that regularly gets more than a full round attack... very circumstantially, of course...but I think that the fact that this unoptimized fighter's damage is enough to take out an enemy of comparative CR in 2-3 rounds speaks for itself... he's viable, if not impressive.
    Marthkus wrote:
    How would the data look if the fighter started with 18 strength and was using a greatsword? Assuming less than optimal feat choices (like no weapon focus), but still putting level increases into strength.

    Hah...ran into word count limit...This and the next post have the data.

    Calculating against CR = level, using Power Attack All the Time:

    Level 01 CR: 1:
    Avg longsword to-hit: +1 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 16
    DPR: 12.32
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 1.21753246753247
    Level 02 CR: 2:
    Avg longsword to-hit: +2 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 16
    DPR: 11.44
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 1.74825174825175
    Level 03 CR: 3:
    Avg longsword to-hit: +3 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 17
    DPR: 13.09
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 2.29182582123759
    Level 04 CR: 4:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 22
    DPR: 14.52
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 2.75482093663912
    Level 05 CR: 5:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 18.48
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 2.97619047619048
    Level 06 CR: 6:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 30.36
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 2.30566534914361
    Level 07 CR: 7:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 25
    DPR: 34.375
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 2.47272727272727
    Level 08 CR: 8:
    Avg longsword to-hit: +8 (BAB) +6 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +1 (weapon training) +2 (weapon spec): 30
    DPR: 44.55
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 2.24466891133558
    Level 09 CR: 9:
    Avg longsword to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 51.04
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 2.25313479623824
    Level 10 CR: 10:
    Avg longsword to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 55.68
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 2.33477011494253
    Level 11 CR: 11:
    Avg longsword to-hit: +11 (BAB) +7 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +10 (Str Bonus) +2 (weapon training) +2 (weapon spec): 33
    DPR: 120.78
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 1.20052988905448
    Level 12 CR: 12:
    Avg longsword to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +2 (weapon training) +4 (weapon spec): 39
    DPR: 133.38
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 1.19958014694857
    Level 13 CR: 13:
    Avg longsword to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 140
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.28571428571429
    Level 14 CR: 14:
    Avg longsword to-hit: +14 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 27
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 140
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.42857142857143
    Level 15 CR: 15:
    Avg longsword to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +12 (Str Bonus) +3 (weapon training) +4 (weapon spec): 42
    DPR: 152.88
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.43903715332287
    Level 16 CR: 16:
    Avg longsword to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +3 (weapon training) +4 (weapon spec): 47
    DPR: 192.7
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.24545926310327
    Level 17 CR: 17:
    Avg longsword to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 206.4
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.30813953488372
    Level 18 CR: 18:
    Avg longsword to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 206.4
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.45348837209302
    Level 19 CR: 19:
    Avg longsword to-hit: +19 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 206.4
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.59883720930233
    Level 20 CR: 20:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 275.4
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.34350036310821
    Level 20 CR: 21:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 267.75
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.49393090569561
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 232.05
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.72376642964878
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 214.2
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.24089635854342

    Calculating against CR = level + 2, using Power Attack All the Time:

    Level 01 CR: 3:
    Avg longsword to-hit: +1 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 16
    DPR: 9.68
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.09917355371901
    Level 02 CR: 4:
    Avg longsword to-hit: +2 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 16
    DPR: 8.8
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 4.54545454545455
    Level 03 CR: 5:
    Avg longsword to-hit: +3 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 17
    DPR: 10.285
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 5.3475935828877
    Level 04 CR: 6:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 8
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 22
    DPR: 12.1
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 5.78512396694215
    Level 05 CR: 7:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 15.84
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 5.36616161616162
    Level 06 CR: 8:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 12
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 24
    DPR: 25.08
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 3.98724082934609
    Level 07 CR: 9:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 25
    DPR: 26.125
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 4.40191387559809
    Level 08 CR: 10:
    Avg longsword to-hit: +8 (BAB) +6 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +1 (weapon training) +2 (weapon spec): 30
    DPR: 34.65
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 3.75180375180375
    Level 09 CR: 11:
    Avg longsword to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 44
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.29545454545455
    Level 10 CR: 12:
    Avg longsword to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 32
    DPR: 44.16
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 3.6231884057971
    Level 11 CR: 13:
    Avg longsword to-hit: +11 (BAB) +7 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +10 (Str Bonus) +2 (weapon training) +2 (weapon spec): 33
    DPR: 97.02
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.85528756957328
    Level 12 CR: 14:
    Avg longsword to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +2 (weapon training) +4 (weapon spec): 39
    DPR: 114.66
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.74428745857317
    Level 13 CR: 15:
    Avg longsword to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 120.8
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.82119205298013
    Level 14 CR: 16:
    Avg longsword to-hit: +14 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 27
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 40
    DPR: 120.8
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.98675496688742
    Level 15 CR: 17:
    Avg longsword to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 29
    Avg longsword Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +12 (Str Bonus) +3 (weapon training) +4 (weapon spec): 42
    DPR: 136.92
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.97195442594216
    Level 16 CR: 18:
    Avg longsword to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +3 (weapon training) +4 (weapon spec): 47
    DPR: 174.37
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.72047944027069
    Level 17 CR: 19:
    Avg longsword to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 187.2
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.76282051282051
    Level 18 CR: 20:
    Avg longsword to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 178.08
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 2.07771787960467
    Level 19 CR: 21:
    Avg longsword to-hit: +19 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 48
    DPR: 178.08
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 2.24618149146451
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 232.05
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.72376642964878
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 214.2
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.24089635854342
    Level 20 CR: 24:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 193.8
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 2.68317853457172
    Level 20 CR: 25:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 35
    Avg longsword Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 51
    DPR: 178.5
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 3.13725490196078

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    Calculating against CR = level, NEVER using Power Attack:

    Level 01 CR: 1:
    Avg longsword to-hit: +1 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 13
    DPR: 10.725
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 1.3986013986014
    Level 02 CR: 2:
    Avg longsword to-hit: +2 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 13
    DPR: 10.01
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 1.998001998002
    Level 03 CR: 3:
    Avg longsword to-hit: +3 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 9
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 11.55
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 2.5974025974026
    Level 04 CR: 4:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 16
    DPR: 12.32
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 3.24675324675325
    Level 05 CR: 5:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18
    DPR: 15.84
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 3.47222222222222
    Level 06 CR: 6:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18
    DPR: 26.73
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 2.61878039655817
    Level 07 CR: 7:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 19
    DPR: 30.305
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 2.80481768685035
    Level 08 CR: 8:
    Avg longsword to-hit: +8 (BAB) +6 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +1 (weapon training) +2 (weapon spec): 21
    DPR: 38.115
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 2.62363898727535
    Level 09 CR: 9:
    Avg longsword to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23
    DPR: 43.01
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 2.67379679144385
    Level 10 CR: 10:
    Avg longsword to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23
    DPR: 46.92
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 2.77067348678602
    Level 11 CR: 11:
    Avg longsword to-hit: +11 (BAB) +7 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +2 (weapon training) +2 (weapon spec): 24
    DPR: 96.48
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 1.50290215588723
    Level 12 CR: 12:
    Avg longsword to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +2 (weapon training) +4 (weapon spec): 27
    DPR: 108.54
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 1.47411092684725
    Level 13 CR: 13:
    Avg longsword to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 30
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 28
    DPR: 113.68
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.58339197748065
    Level 14 CR: 14:
    Avg longsword to-hit: +14 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 28
    DPR: 113.68
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.75932441942294
    Level 15 CR: 15:
    Avg longsword to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +12 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30
    DPR: 125.4
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.75438596491228
    Level 16 CR: 16:
    Avg longsword to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 36
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +3 (weapon training) +4 (weapon spec): 32
    DPR: 158.08
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.51821862348178
    Level 17 CR: 17:
    Avg longsword to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 38
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 167.31
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.61377084454008
    Level 18 CR: 18:
    Avg longsword to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 167.31
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.79307871615564
    Level 19 CR: 19:
    Avg longsword to-hit: +19 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 167.31
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.9723865877712
    Level 20 CR: 20:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 204.6
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.80840664711632
    Level 20 CR: 21:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 201.3
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.98708395429707
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 193.05
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 2.07200207200207
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 188.1
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.5518341307815

    Calculating against CR = level + 2, NEVER using Power Attack:

    Level 01 CR: 3:
    Avg longsword to-hit: +1 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 6
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 13
    DPR: 8.58
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.4965034965035
    Level 02 CR: 4:
    Avg longsword to-hit: +2 (BAB) +4 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 7
    Avg longsword Damage (no crits): 2d4+0 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 13
    DPR: 7.865
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 5.08582326764145
    Level 03 CR: 5:
    Avg longsword to-hit: +3 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 9
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +0 (weapon spec): 14
    DPR: 9.24
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 5.95238095238095
    Level 04 CR: 6:
    Avg longsword to-hit: +4 (BAB) +4 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) 0 (PA penalty): 10
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +6 (Str Bonus) +0 (weapon training) +2 (weapon spec): 16
    DPR: 10.56
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 6.62878787878788
    Level 05 CR: 7:
    Avg longsword to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 13
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18
    DPR: 13.86
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 6.13275613275613
    Level 06 CR: 8:
    Avg longsword to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 14
    Avg longsword Damage (no crits): 2d4+1 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 18
    DPR: 22.77
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 4.39174352217831
    Level 07 CR: 9:
    Avg longsword to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 16
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +7 (Str Bonus) +1 (weapon training) +2 (weapon spec): 19
    DPR: 24.035
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 4.78468899521531
    Level 08 CR: 10:
    Avg longsword to-hit: +8 (BAB) +6 (str bonus) +2 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) 0 (PA penalty): 19
    Avg longsword Damage (no crits): 2d4+2 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +1 (weapon training) +2 (weapon spec): 21
    DPR: 31.185
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 4.1686708353375
    Level 09 CR: 11:
    Avg longsword to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 22
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23
    DPR: 39.215
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.69756470738238
    Level 10 CR: 12:
    Avg longsword to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) 0 (PA penalty): 23
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +9 (Str Bonus) +2 (weapon training) +2 (weapon spec): 23
    DPR: 40.02
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 3.99800099950025
    Level 11 CR: 13:
    Avg longsword to-hit: +11 (BAB) +7 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 26
    Avg longsword Damage (no crits): 2d4+3 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +2 (weapon training) +2 (weapon spec): 24
    DPR: 87.84
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 2.04918032786885
    Level 12 CR: 14:
    Avg longsword to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) 0 (PA penalty): 28
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +2 (weapon training) +4 (weapon spec): 27
    DPR: 102.06
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.95963158926122
    Level 13 CR: 15:
    Avg longsword to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 30
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 28
    DPR: 105.84
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 2.07860922146636
    Level 14 CR: 16:
    Avg longsword to-hit: +14 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 31
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +10 (Str Bonus) +3 (weapon training) +4 (weapon spec): 28
    DPR: 105.84
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 2.26757369614512
    Level 15 CR: 17:
    Avg longsword to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 33
    Avg longsword Damage (no crits): 2d4+4 (enhancement) + 0 (Power Attack) +12 (Str Bonus) +3 (weapon training) +4 (weapon spec): 30
    DPR: 117.6
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 2.29591836734694
    Level 16 CR: 18:
    Avg longsword to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) 0 (PA penalty): 36
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +3 (weapon training) +4 (weapon spec): 32
    DPR: 149.76
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 2.00320512820513
    Level 17 CR: 19:
    Avg longsword to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 38
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 158.73
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 2.07900207900208
    Level 18 CR: 20:
    Avg longsword to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 39
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 154.44
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 2.3957523957524
    Level 19 CR: 21:
    Avg longsword to-hit: +19 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 40
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 154.44
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 2.59000259000259
    Level 20 CR: 22:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 193.05
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 2.07200207200207
    Level 20 CR: 23:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 188.1
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.5518341307815
    Level 20 CR: 24:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 178.2
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 2.91806958473625
    Level 20 CR: 25:
    Avg longsword to-hit: +20 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +0 (pale green ioun) +1 (haste bonus) +4 (weapon training) 0 (PA penalty): 41
    Avg longsword Damage (no crits): 2d4+5 (enhancement) + 0 (Power Attack) +13 (Str Bonus) +4 (weapon training) +4 (weapon spec): 33
    DPR: 173.25
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 3.23232323232323

    Results: CR = Level, using Power Attack All the Time wrote:


    Level: 1 CR: 1 DPR: 12.32
    Level: 2 CR: 2 DPR: 11.44
    Level: 3 CR: 3 DPR: 13.09
    Level: 4 CR: 4 DPR: 14.52
    Level: 5 CR: 5 DPR: 18.48
    Level: 6 CR: 6 DPR: 30.36
    Level: 7 CR: 7 DPR: 34.375
    Level: 8 CR: 8 DPR: 44.55
    Level: 9 CR: 9 DPR: 51.04
    Level: 10 CR: 10 DPR: 55.68
    Level: 11 CR: 11 DPR: 120.78
    Level: 12 CR: 12 DPR: 133.38
    Level: 13 CR: 13 DPR: 140
    Level: 14 CR: 14 DPR: 140
    Level: 15 CR: 15 DPR: 152.88
    Level: 16 CR: 16 DPR: 192.7
    Level: 17 CR: 17 DPR: 206.4
    Level: 18 CR: 18 DPR: 206.4
    Level: 19 CR: 19 DPR: 206.4
    Level: 20 CR: 20 DPR: 275.4
    Level: 20 CR: 21 DPR: 267.75
    Level: 20 CR: 22 DPR: 232.05
    Level: 20 CR: 23 DPR: 214.2
    Results: CR = Level + 2, using Power Attack All the Time wrote:


    Level: 1 CR: 3 DPR: 9.68
    Level: 2 CR: 4 DPR: 8.8
    Level: 3 CR: 5 DPR: 10.285
    Level: 4 CR: 6 DPR: 12.1
    Level: 5 CR: 7 DPR: 15.84
    Level: 6 CR: 8 DPR: 25.08
    Level: 7 CR: 9 DPR: 26.125
    Level: 8 CR: 10 DPR: 34.65
    Level: 9 CR: 11 DPR: 44
    Level: 10 CR: 12 DPR: 44.16
    Level: 11 CR: 13 DPR: 97.02
    Level: 12 CR: 14 DPR: 114.66
    Level: 13 CR: 15 DPR: 120.8
    Level: 14 CR: 16 DPR: 120.8
    Level: 15 CR: 17 DPR: 136.92
    Level: 16 CR: 18 DPR: 174.37
    Level: 17 CR: 19 DPR: 187.2
    Level: 18 CR: 20 DPR: 178.08
    Level: 19 CR: 21 DPR: 178.08
    Level: 20 CR: 22 DPR: 232.05
    Level: 20 CR: 23 DPR: 214.2
    Level: 20 CR: 24 DPR: 193.8
    Level: 20 CR: 25 DPR: 178.5
    Results: CR = Level, NEVER using Power Attack wrote:


    Level: 1 CR: 1 DPR: 10.725
    Level: 2 CR: 2 DPR: 10.01
    Level: 3 CR: 3 DPR: 11.55
    Level: 4 CR: 4 DPR: 12.32
    Level: 5 CR: 5 DPR: 15.84
    Level: 6 CR: 6 DPR: 26.73
    Level: 7 CR: 7 DPR: 30.305
    Level: 8 CR: 8 DPR: 38.115
    Level: 9 CR: 9 DPR: 43.01
    Level: 10 CR: 10 DPR: 46.92
    Level: 11 CR: 11 DPR: 96.48
    Level: 12 CR: 12 DPR: 108.54
    Level: 13 CR: 13 DPR: 113.68
    Level: 14 CR: 14 DPR: 113.68
    Level: 15 CR: 15 DPR: 125.4
    Level: 16 CR: 16 DPR: 158.08
    Level: 17 CR: 17 DPR: 167.31
    Level: 18 CR: 18 DPR: 167.31
    Level: 19 CR: 19 DPR: 167.31
    Level: 20 CR: 20 DPR: 204.6
    Level: 20 CR: 21 DPR: 201.3
    Level: 20 CR: 22 DPR: 193.05
    Level: 20 CR: 23 DPR: 188.1
    Results: CR = Level + 2, NEVER using Power Attack wrote:


    Level: 1 CR: 3 DPR: 8.58
    Level: 2 CR: 4 DPR: 7.865
    Level: 3 CR: 5 DPR: 9.24
    Level: 4 CR: 6 DPR: 10.56
    Level: 5 CR: 7 DPR: 13.86
    Level: 6 CR: 8 DPR: 22.77
    Level: 7 CR: 9 DPR: 24.035
    Level: 8 CR: 10 DPR: 31.185
    Level: 9 CR: 11 DPR: 39.215
    Level: 10 CR: 12 DPR: 40.02
    Level: 11 CR: 13 DPR: 87.84
    Level: 12 CR: 14 DPR: 102.06
    Level: 13 CR: 15 DPR: 105.84
    Level: 14 CR: 16 DPR: 105.84
    Level: 15 CR: 17 DPR: 117.6
    Level: 16 CR: 18 DPR: 149.76
    Level: 17 CR: 19 DPR: 158.73
    Level: 18 CR: 20 DPR: 154.44
    Level: 19 CR: 21 DPR: 154.44
    Level: 20 CR: 22 DPR: 193.05
    Level: 20 CR: 23 DPR: 188.1
    Level: 20 CR: 24 DPR: 178.2
    Level: 20 CR: 25 DPR: 173.25

    Dark Archive
    Coriat wrote:
    This is neat. What's the deal with lv11? Tacking a -10 attack onto the end of a full/full/-5 routine cannot possibly be more than doubling the damage by itself, yet the damage seems to more than double (at some cases nearly tripling) at 11th level in several cases.

    The boots of speed dont actually turn on till level 11 so you go from 20/15 to 23/23/18/13 plus a small ST increase for damage (this is the power attacking to hit numbers) the 2nd interative for level 11 is barely below the first iterative for level 10 and the primaries are almost guaranteed hits.

    At level 15 is becomes a decision by the casters as to if fighter full attacks are sufficient for clearing encounters, I know that I have many casters able to use quickened dimension door as a 4th level spell simply to do my standard SoS and then DDoor the fighter to the other guy allowing us to clear 2 threats a round from my actions.
    Scavion wrote:
    Question wrote:
    So how many equal CR encounters is a party supposed to take on a day?
    It varies by party, optimization, PB, and tactics. The DM needs to feel it out slowly or however many the Players think they can take heh.

    Theres no guide for the DM?

    theshoveller wrote:
    Question wrote:

    Correct me if im wrong but isnt an equal CR encounter supposed to use up like 25% of a 4 man party's resources for the day?

    How is that possible if a fighter can solo it in 2-3 rounds?

    The straightforward answer is that the fighter doesn't solo it in 2-3 rounds - the fighter does enough damage to kill it in 2-3 rounds. The maths here don't take into account the damage the damage the fighter is taking (the fighter's main expendable resource) and, ergo, the healing the fighter requires. What's the rest of the party doing in this situation? Creating the conditions to allow the fighter to do said damage, presumably.

    This isn't a criticism, I'm just answering the question.

    Doing enough damage solo to kill it is soloing it though. I mean, lets assume the other party members are just watching....the fighter can still take care of an equal CR monster by himself.

    Sure theres post combat healing but thats not a problem if your party has at least one healer.

    Ahh, boots of speed coming online then explains it.
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    Yep! Although very interestingly, that same jump happens without the boots of speed. The values differ, obviously. But if you check out the link in my first post to see the optimized CRB only fighter (falchion user), you'll still see that big jump at level 11!

    Level 11 is a magical level full of puppies, sunshine, and AM BABARIAN's love.

    Well, there are a few things going on at level 11.
    First of all, the second iterative (11/6/1).
    Greater Weapon Focus (+1 to hit)
    Belt of Strength increase (+1 to hit +1/+2 to damage).
    Boots of Speed.

    Notice, for instance, at level 6 in every case that I checked, there is a similar increase in damage (though not to the same extent). Oddly enough, there isn't a similar increase in DPR at 16th level when the third iterative comes into play. I think this is because of the very low probability of that third iterative to actually connect. By that point, the iterative is -15 behind the primary.

    Each additional iterative has, I believe, a cumulative -25% miss chance. So the first iterative does about 75% the damage as the fighters first attack, the second does 50% and the third does 25%. Based on that, we should see a comparable increase in damage.

    Level: 5 CR: 5 DPR: 13.475
    Level: 6 CR: 6 DPR: 22.1375

    So, 13.475 * 1.75 = 23.58125

    Level: 10 CR: 10 DPR: 36.45
    Level: 11 CR: 11 DPR: 50.76

    36.45 * 1.5 = 54.675

    Level: 15 CR: 15 DPR: 67.71
    Level: 16 CR: 16 DPR: 79.64625

    67.71 * 1.25 = 84.6375

    I honestly, I don't see anything truly fishy here. The damage increase is almost entirely due to the additional attack granted from a high BAB. To be fair, I have absolutely no idea if the above math I just did is correct, I'm just postulating a theory and seeing if the simple math I did backs it up. It mostly seems to do so, except that the above math is a little off.

    Anyway, really interesting data here Cheapy. Note sure how willing you are to do further data runs, but it might do to compare CRB Rangers, Paladins and Barbarians to see how they all stack up in similar fashions.

    If I (or someone else, for that matter) comes up with a fair way to compare the Ranger, Paladin, and Barbarian, I'd be able to. Running the above numbers for Markthus took me about 3 minutes (granted, that's with a few hours of making it get to that point, but I did that for the original post in this thread!), so it's fairly fast if I can get the math.

    If people want to see the data for other configurations of the above mentioned feats and items, I can do that.

    For Paladin, I'd have to figure out the proportion of evil enemies to non-evil ones (and then also the Super Evil ones vs evil ones...yikes).

    For rangers, I'm not entirely sure how to go about it. The favored enemy mechanic is very...chaotic. Where it can be either very useful or very useless. I'm not sure how many average players would choose Favored Enemy (human), nor am I certain of how many enemies per day is a fair number for determining the DPR.

    Barbarian is probably the easiest to do. Assume 4 encounters a day. Use the fighter's DPR numbers to set the number of rounds per encounter. Graph out the number of available rage rounds, and then use that to add a percentage of the Rage bonus available at that level to the DPR calculations. Ok, so maybe that's not so easy...

    But since I'm going for baseline for the average player with this thread, I think I'd have to see statistics on the average encounter.

    That might not be a bad idea to ask Paizo for, if they have it, hmm...
    Tels wrote:

    Well, there are a few things going on at level 11.

    First of all, the second iterative (11/6/1).
    Greater Weapon Focus (+1 to hit)
    Belt of Strength increase (+1 to hit +1/+2 to damage).
    Boots of Speed.

    ...

    Greater Weapon Focus should happen at 12, not 11 (unless there was an errata I missed...)

    Why is the fighter taking weapon focus?

    I've found in campaigns that it is very hard to secure specific magical weapons. For fighters, I would only depend on weapon groups unless I pick up some leveling artifact sword with an ego score.
    Liberty's Edge
    Marthkus wrote:

    Why is the fighter taking weapon focus?

    I've found in campaigns that it is very hard to secure specific magical weapons. For fighters, I would only depend on weapon groups unless I pick up some leveling artifact sword with an ego score.

    He's unoptimized?

    Moreso that the weapons chosen here are pretty commonly available in all settings. Longswords and Greatswords are pretty standard. Falcatas? Not so much.
    Dark Archive
    Question wrote:


    Doing enough damage solo to kill it is soloing it though. I mean, lets assume the other party members are just watching....the fighter can still take care of an equal CR monster by himself.

    Sure theres post combat healing but thats not a problem if your party has at least one healer.

    This is a 'white room' numbers exercise. If you want to imagine a Platonic four-man party, dealing and taking damage is what the fighter does. The other three facilitate it. In practice, you can do other things, but I don't think that's the object of [this] exercise.

    Im not sure what your point is...why do you need three other people to facilitate combat if the fighter can handle it himself, other than the obvious post combat healing?

    It looks like against parties with a fighter, DMs shouldnt bother throwing equal CR encounters at them because it will die in 2-3 rounds with minimal damage to the party unless its made up of tons of mooks that the fighter has to waste actions getting into melee with (but then you run into the problem of a lot of mooks failing saves to a AOE save or lose spell)
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    Question wrote:

    Im not sure what your point is...why do you need three other people to facilitate combat if the fighter can handle it himself, other than the obvious post combat healing?

    It looks like against parties with a fighter, DMs shouldnt bother throwing equal CR encounters at them because it will die in 2-3 rounds with minimal damage to the party unless its made up of tons of mooks that the fighter has to waste actions getting into melee with (but then you run into the problem of a lot of mooks failing saves to a AOE save or lose spell)

    That's not true at all. A party going up against an equal CR opponent is facing an Average encounter. They should get a few scratches, but nothing significant should really happen. The problem here, however, is action economy. A single opponent with equal to CR to the Fighter's level or the APL of the party is going to get destroyed in a single round almost without fail. He's facing 4 full rounds of actions to his one, he simply can't win.

    So you reduce his CR and increase the number. For instance, a CR 12 foe is an Elder Earth Elemental. Against a CR +2 foe, the fighter in the first post has a DPR of ~60 so he'll drop the Elder Earth Elemental in approximately 3 rounds. Toss in the Cleric, Rogue, and Wizard and I wouldn't be surprised to see him dropped in a round or a round and half.

    However, instead of one Elder Earth Elemental a CR 12 threat (19,200 XP budget), how about 3 Huge Earth Elementals (3,200 xp each, total 9,600 xp in the budget) and a Shaitain with 3 levels of fighter (CR 10 worth 9,600 xp from the budget). Four bad guys, one for each party member, or 1 for the rogue, 1 for the cleric and 2 for the fighter. This is a better challenge as even though the Fighter could drop each enemy in a single round one on one, he can't drop all the enemies with his limited attacks. He's got to rely on his party to hold them off, until he can get to them.

    Equal CR foes aren't supposed to be uber-dangerous to the party. They are supposed to represent a possible thread, and be able to get a could of hits in before falling. That's it.

    Also, every encounter for a party should not be life-threatening. Adventurers are powerful people, and they should feel powerful. Orcs and Goblins are low CR opponents that the party should be able to deal with pretty easily if they encounter them later on in their career.

    This is the same logic most video games employ. In the Elder Scrolls Morrowind, you start off facing mudcrabs and rats. As the game goes on and you level up, you start fighting fire scarabs, daedra, undead, vampires and more. By the time you're facing off against a daedroth, a rat or mud crab isn't even a crack in the road for you to stumble over.

    He's still worth XP though.

    The encounters that are equal in CR to the APL of the party are there to provide the filler XP between boss fights. They generate loot you can use later in the dungeon if you need to fill out bad guys or treasure hoards.
    Coriat wrote:

    Which would give a rate of ~20.5% probability of being able to full attack with a primary weapon. Lower than I was expecting, and 39 turns is not yet a large sample size, but data collection is time consuming. If I had to guess I'd say a larger sample size would cause the chance of full attack to rise to at least 25%.

    Which still suggests it may be severely problematic to gauge effectiveness only by full attack DPR for any character without Pounce or a similar way to ensure a greater than normal amount of full attacks (archery comes to mind).

    Question wrote:
    Im not sure what your point is...why do you need three other people to facilitate combat if the fighter can handle it himself?

    Yours is exactly the kind of incautious analysis I had in mind when I used the word "problematic."

    Cheapy's data is interesting. It also accounts for two defensive factors, hit points and AC, of about six major ones and dozens of minor ones.

    I cannot even remember the last fight which presented no barriers to my fighter's full attack other than the enemy's AC and hit points. If there is one to remember, which I'm not sure there is. Concealment, mirror image, damage reduction, style feats, even simple terrain and positioning making it take time to set up the full attack, whatever... there's always something that makes the empirical results diverge from an analysis assuming ideal circumstances.

    Anyway... I've always thought that a good rule of thumb for balance is that in ideal circumstances, a focused martial character should be able to kill a CR-equivalent foe in 1-2 rounds and a non focused martial character in 2-3 rounds. With non ideal circumstances being the expected norm. It looks like your fighter numbers are generally in that neighborhood.

    Fascinating stuff Cheapy. Nothing to add except I will find this useful in planning encounters.
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