A funny thing just happened to me. I encountered a puzzle on the 3rd floor of the first dungeon involving 3 FOEs. It was pretty simple, but I kept screwing up. I didn't have the patience to do it properly, but so I got fed up and challenged the FOE that was directly blocking my way. Big mistake...Or so I thought! The FOE had a ridiculous amount of health, but it wasn't particularly strong, so I got to work. After 20 grueling turns of buffing, debuffing, healing and attacking, it went down.
And my reward?