From the Super Mario Wiki
This article is about the Bandit
sub-species named Zeus Guy. For information about the Snifit
enemy with the same name, see here
Zeus Guys are sub-species of Bandits that appear in Super Mario World 2: Yoshi's Island and its remake Yoshi's Island: Super Mario Advance 3, where they throw balls of energy at Yoshi. Their name comes from Zeus, the Greek god known for throwing thunderbolts at people. Yoshi cannot swallow them, and jumping on them, or throwing an egg at them stuns them temporarily. Yoshi can only defeat Zeus Guys with a Super Red Watermelon, Special Blue Watermelon, or POW Block. They are usually found in groups of two. If Yoshi gets too close, within the maximum range of their balls of energy, they will kick or punch Yoshi. Zeus Guys also appear in Yoshi's New Island.
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