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It just may be a lunatic they’re looking for.

A burglar bashed his way into Billy Joel’s Long Island home and vandalized a dozen of his treasured motorcycles, police sources said Wednesday.

During the smash-and-trash, the crook shattered part of a glass door leading to the “You May Be Right” singer’s garage and caused “considerable damage” to the motorbikes sometime between 3:30 p.m. Saturday and 8:15 a.m. Monday, according to Nassau County ­police sources.

The break-in may have occurred while the Piano Man was playing a concert at Madison Square Garden, which featured a surprise performance from Jon Bon Jovi Saturday night.

A home office at the 70-year-old rocker’s sprawling Oyster Bay manse was also trashed during the incident — but the burglar stole nothing, according to cops.

Details of the break-in bore a striking resemblance to the singer’s 1981 “Glass Houses” album cover art, which features Joel winding up to throw a rock through the reflective windows of a home.

Police took a statement and said they were investigating Wednesday.

Joel’s massive compound, which he reportedly bought for $22.5 million in 2002, is currently for sale, a police source said, although the property doesn’t appear to be listed publicly.

Joel is a well-known motorcycle enthusiast whose vast collection of bikes includes vintage choppers and is on display at 20th Century Cycles in ­Oyster Bay.

In past interviews, Joel has said that he loves motorcycles more than just about anything.

“[Motorcycle collecting is] not an expensive hobby. They’re relatively cheap. If the money disappeared, as long as they didn’t take my motorcycles away, I think I’d be able to cope very well,” he told ­Playboy in a 1982 interview.

He added, “A motorcycle is an amusement park ride. It’s dangerous. Everybody out on the road is out to get you . . . You’re constantly playing terror-chess: ‘What am I going to do if this guy does that?’ It clears all the cobwebs out of your head. When you get off the bike, it’s, ‘Whew, I made it.’ ”

Details of the vandalism and the monetary value of the ­damage done weren’t immediately clear.

Claire Mercuri, a rep for the singer, didn’t return requests for comment Wednesday.

Additional reporting by Natalie O’Neill