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The word 梦寐以求 is formed by directly combining the characters 梦 (dream), 寐 (sleep), 以 (in order to), and 求 (seek); it literally means "to seek even in dreams and sleep", structurally indicating a persistent desire pursued across states of consciousness.

Word Definition - 梦寐以求

mèng mèi yǐ qiú lit. to yearn for sth even in one's dreams (idiom); fig. to deeply long for; to covet