From the Super Mario Wiki, the Mario encyclopedia
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Stache (Horn for Bowser) is a unique statistic in the Mario & Luigi RPG series, similar to Luck in other RPGs. It usually gives Mario, Luigi, Bowser, or Paper Mario better chances at getting a "Critical" or "Lucky" hit in battle, doubling the damage of their attacks. In Mario & Luigi: Superstar Saga, Mario & Luigi: Superstar Saga + Bowser's Minions, and Mario & Luigi: Partners in Time it gives discounts to items bought at shops (down to half their usual price), and lets the Mario Bros. sell items at higher prices (up to 99% increase). Baby Mario and Baby Luigi also have this stat in Mario & Luigi: Partners in Time, despite not having mustaches. In Mario & Luigi: Bowser's Inside Story and Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey, it affects the type of scratch card the player gets after purchasing items. Since none of these features are present in Mario & Luigi: Dream Team the stat is only used for critical or lucky hits and nothing else, while Mario & Luigi: Paper Jam it also increases the chances of enemies dropping items after battle. This stat can be increased through level ups (in Superstar Saga / + Bowser's Minions, Bowser's Inside Story / + Bowser Jr.'s Journey, Partners in Time, Dream Team and Paper Jam), Teehee Blends and Teeheespressos (only in Superstar Saga / + Bowser's Minions), and Stache/Flex Beans (introduced in Dream Team).
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