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your dps is your average damage * attack speed * crit chance * crit damage * all other modifiers
since your crit chance goes up every second you dont attack, your dps will go up because the game assumes that the crit chance will stay. its not smart enough to take into account that sharp shooter resets every time you attack
in otherwords dont use sharp shooter when looking for your dps cuz sharpshooter will give you false values
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