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to happen to meet; to come across; to run into; to bump into
山道で野生の猿に出喰わして足がすくんだ。
I encountered a wild monkey on the mountain path and froze.
朝の散歩中に珍しい鳥に出喰わした。
I came across a rare bird during my morning walk.
出張先で思いがけず恩師に出喰わす。
I unexpectedly ran into my former teacher on a business trip.