Filming at the estate of “X factor” judge L.A. Reid took a swan dive south after his Hamptons home was overrun by the elegant white birds gone wild. This week’s episodes of the Fox show showed contestants visiting Reid, Paula Abdul, Simon Cowell and Nicole Scherzinger at their respective palatial homes. Sources said Reid wanted to make sure his waterfront Sagaponack estate looked even swankier on camera, so he asked the crew to truck in swans to swim in his backyard lake. A show source told us: “L.A. has the most beautiful house, but the idea of having swans gliding on the lake outside sounded good, so he ordered some swans be shipped in.” But the creatures behaved badly and ran amok over his garden and even took a dip in Reid’s pool. “They were running around, flapping their wings and causing chaos. Their keepers spent hours trying to get them to stay in the lake. Then the crew joined in chasing them around, but the swans preferred the pool.” The source added, “Though the swan handlers were annoyed, L.A. was cracking up. He thought it was so funny.”