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Interested in gaining power as quickly as possible? Then you'll probably want to maximize the amount of experience you get from fighting monsters. This guide will help you get the most stats out of your fights.

Note: This guide is still a work in progress, so not all information has been completely tested yet. If you find something inaccurate or incomplete, please let me know.

Familiars

Blood-Faced Volleyball or equivalent -- +0.25 stat points/level

Note that the volleyball gains are rounded up, so a 25-pound volleyball and a 28-pound volleyball will both give you +7 stat points. The gains are not dependent on the nature of what you're fighting. The cheshire bat and Jill-O-Lantern function like a volleyball. The killer bee will increase your amount of Muscle gained, but less so than for a volleyball.

The hovering sombrero works differently from a volleyball -- rather than giving you a flat increase, the gains from the sombrero depend on the nature of the monster you're fighting. The breakeven point appears to be about 20 XP -- below that level, a volleyball will give you bigger boosts, while above that level, a sombrero is more effective. I'll post more detailed numbers once I work them out. Note that the sombrero will give huge bonuses against enemies in the Sorceress' Tower.

Items

hippo whip (weapon) -- +1 stat point
ring of aggravate monster (accessory) -- +1 stat point
stainless steel scarf (accessory; hardcore Sauceror Ascension reward) -- +4 stat points
wax lips (familiar accessory) -- +10 lbs. of Volleyball (that is, +2.5 stat points)

The hippo whip and ring of aggravate monster are each listed as "+5 to monster level", but the higher monster level also means that you get more stat points. Similarly, the stainless steel scarf is +20 to monster level, which translates to +4 stat points.

Effects

Aloysius' Antiphon of Aptitude (Accordion Thief buff) -- +3 stat points (1 to each stat)

These are the only things that I know of that affect your stat gains from combat. Of course, there are many ways to gain stats outside of combat -- the gym, the Hall of the Legends of the Times of Old, the shore, eating and drinking things, and so forth.