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We are solving for 1 / (Spear DPS Improvement%) = (Armor Reduction%). We can get DPS Improvement using (DPS Spear / DPS Mace). For armor, we know that 1% AP reduces 1% of armor, and 1% of armor equals -0.75% damage, which is subtracted from 100% damage. Since spear's only Sharp attack has 55% AP, we use that instead of spear's avg AP.  
 
We are solving for 1 / (Spear DPS Improvement%) = (Armor Reduction%). We can get DPS Improvement using (DPS Spear / DPS Mace). For armor, we know that 1% AP reduces 1% of armor, and 1% of armor equals -0.75% damage, which is subtracted from 100% damage. Since spear's only Sharp attack has 55% AP, we use that instead of spear's avg AP.  
  
Sub variables in and you get (9.56 / 10.55) = (100 - 0.75(x - 55))%. Solve for x and we get (9.56 / 10.55 - 1) / -0.75 = (x - 0.55), after converting percents into decimals. ---> Sharp armor. This is before considering quality; at higher quality, the spear only gets better. For example, if both weapons are excellent, then the mace only starts to become better at {{%|(11.48/12.63 -1)/(-0.75) + 0.66 round 2}} armor. For reference, [[centipede]]s have 72% armor.
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Sub variables in and you get (9.56 / 10.55) = (100 - 0.75(x - 55))%. Solve for x and we get (9.56 / 10.55 - 1) / -0.75 = (x - 0.55), after converting percents into decimals. ---> Sharp armor. This is before considering quality; at higher quality, the spear only gets better. For example, if both weapons are excellent, then the mace only starts to become better at {{%| (11.48/12.63 -1)/(-0.75) + 0.66 round 2}} armor. For reference, [[centipede]]s have 72% armor.
  
 
Maces would remain better against [[flak vest]]s and [[power armor]]. Of these, the flak vest only matters if you actually ''hit'' the vest, which only covers the torso and neck. Power armor, as mentioned above, are rare on enemies in practice. In contrast, spears are noticeably better against unarmored & lightly armored targets, and roughly equal against centipedes. As spears are ''more useful against more targets'', without compromising performance against medium armor, they are often a better weapon ''in practice''. (If you happened to fight a lot of power armor enemies, maces would come on top).
 
Maces would remain better against [[flak vest]]s and [[power armor]]. Of these, the flak vest only matters if you actually ''hit'' the vest, which only covers the torso and neck. Power armor, as mentioned above, are rare on enemies in practice. In contrast, spears are noticeably better against unarmored & lightly armored targets, and roughly equal against centipedes. As spears are ''more useful against more targets'', without compromising performance against medium armor, they are often a better weapon ''in practice''. (If you happened to fight a lot of power armor enemies, maces would come on top).
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'''This comparison falls off at Masterwork quality or higher,''' but it's not because of armor. Instead, it's due to the overkill mechanics of both weapons.  
 
'''This comparison falls off at Masterwork quality or higher,''' but it's not because of armor. Instead, it's due to the overkill mechanics of both weapons.  
* The spear, as ''[[Damage Types#Stab|Stab]]'' damage, can only ever hit a single body part. If a 42 damage spear hits a 25 damage arm, the arm is destroyed. Overkill damage, i.e. 17 damage ({{%|(17/42) round 2}} of the attack), is completely wasted.
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* The spear, as ''[[Damage Types#Stab|Stab]]'' damage, can only ever hit a single body part. If a 42 damage spear hits a 25 damage arm, the arm is destroyed. Overkill damage, i.e. 17 damage ( {{%|1-(17/42) round 2}} of the attack), is completely wasted.
 
* The mace, as ''[[Damage Types#Blunt|Blunt]]'' damage, will spread damage if it causes overkill. If a mace destroys the arm, it will damage the shoulder, too.
 
* The mace, as ''[[Damage Types#Blunt|Blunt]]'' damage, will spread damage if it causes overkill. If a mace destroys the arm, it will damage the shoulder, too.
 
This results in the mace better against humans, and the spear being better against centipedes.
 
This results in the mace better against humans, and the spear being better against centipedes.

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