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Up-And-Coming, State Of The Art, Freshly Picked
noun, な adjective, の adjective
Something that is new and sharp (presumably because it's so new) is on the cutting edge. It's up-and-coming, the next big thing!
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
The company decided to buy the cutting edge computer.