Question: Which ocean borders the 1364 acre state park which also shares a border with a census-designated place that roughly corresponds to the hamlet with the same name in the Town of East Hampton in Suffolk County, New York, United States?

Context articles: Springs, New York
East Hampton Airport
Montauk Point State Park
Wainscott, New York
Amagansett, New York
East Hampton Union Free School District
Shadmoor State Park
Napeague, New York
New Suffolk, New York
Napeague State Park

Springs is a census-designated place (CDP) roughly corresponding to the hamlet by the same name in the Town of East Hampton in Suffolk County, New York on the South Fork of Long Island.
 As of the 2010 United States Census, the CDP population was 6,592.
 Springs, along with the rest of East Hampton, boasts some of the world's most valuable residential real estate.
East Hampton Airport (IATA: HTO, ICAO: KHTO, FAA LID: HTO) is a public use airport located three nautical miles (6 km) west of East Hampton, a village in the Town of East Hampton, Suffolk County, New York, United States.
 The airport is owned and operated by the Town of East Hampton and located in the town's hamlet of Wainscott.
 It is included in the National Plan of Integrated Airport Systems for 2011–2015, which categorized it as a "general aviation" facility.
Montauk Point State Park is a 862 acre state park located in the hamlet of Montauk, at the eastern tip of Long Island in the Town of East Hampton, Suffolk County, New York.
 Montauk Point is the easternmost extremity of the South Fork of Long Island, and thus also of New York State.
Wainscott is a census-designated place (CDP) that roughly corresponds to the hamlet with the same name in the Town of East Hampton in Suffolk County, New York, on the South Fork of Long Island.
 As of the 2010 United States Census, the CDP population was 650.
 The CDP was created for the 2000 census.
Amagansett is a census-designated place that roughly corresponds to the hamlet by the same name in the Town of East Hampton in Suffolk County, New York, on the South Shore of Long Island.
 As of the 2010 United States Census, the CDP population was 1,165.
 Amagansett hamlet was founded in 1680.
East Hampton Union Free School District is a public school district located in the Town of East Hampton on Long Island, in Suffolk County, New York, United States.
 It includes the village of East Hampton in addition to the surrounding area located north of the village.
 The district is made up of three schools: the John.
 M. Marshall Elementary School, the East Hampton Middle School, and East Hampton High School.
 The superintendent is Richard J. Burns.
Shadmoor State Park is a 99 acre state park located in Suffolk County, New York in the United States.
 Created in 2000, the park is located in Town of East Hampton on the South Fork of Long Island, 1/4 mi east of the hamlet of Montauk.
Napeague ( , ) is a census-designated place (CDP) that roughly corresponds to the hamlet with the same name in the Town of East Hampton in Suffolk County, New York, United States.
 The CDP population was 200 at the 2010 census.
New Suffolk is a census-designated place (CDP) that roughly corresponds to the hamlet by the same name in the Town of Southold in Suffolk County, New York, United States.
 The CDP's population was 349 at the 2010 census.
Napeague State Park is a 1364 acre state park in the town of East Hampton in Suffolk County, New York.
 The largely undeveloped park stretches across the entire narrow width of the South Fork of Long Island from the Atlantic Ocean to Gardiners Bay and Block Island Sound.
 The park is located on either side of the Montauk Highway (New York Route 27) on the "Napeague Stretch" between Amagansett and Montauk.
 The hamlet of Napeague is located on the park's edge.