Question: The Paumanok Path goes from Montauk Point State Park to a hamlet and census-designated place in what county?

full_context: Document 1: North Bay Shore, New York: North Bay Shore is an unincorporated neighborhood on Long Island in the Town of Islip in Suffolk County, New York, United States. The area is a suburb of New York City. The hamlet of "North Bay Shore" is within the northern part of the CDP of Bay Shore, New York. The census-designated place (CDP) named "North Bay Shore" is north of, and adjacent to, the hamlet named North Bay Shore. The CDP of North Bay Shore contains the hamlet of Pine Aire and part of the hamlet of Brentwood. The population of the North Bay Shore CDP was 18,944 at the time of the 2010 census.
Document 2: Trail View State Park: Trail View State Park is a 454 acre state park located on Long Island on the Nassau–Suffolk county border in New York. The linear park, created in September 2002, runs between Bethpage State Park and Cold Spring Harbor State Park.
Document 3: Paumanok Path: The Paumanok Path is a 125 mi hiking trail in New York on Long Island that goes from Rocky Point to Montauk Point State Park.
Document 4: Bicycle Path, Long Island: Bicycle Path is a historic road in Central Suffolk County on Long Island, New York, built in the late 19th Century in order to capitalize on the bicycle craze of that period. It ran north and south from Patchogue to just east of Port Jefferson, lying mostly west of New York State Route 112, crossing it at Port Jefferson Road in Port Jefferson Station.
Document 5: New York State Route 27: New York State Route 27 (NY 27) is an east–west 120.58 mi long state highway extending from Interstate 278 (I-278) in the New York City borough of Brooklyn to Montauk Point State Park on Long Island, New York, in the United States. Its two most prominent components are Sunrise Highway and Montauk Highway, the latter of which includes the Montauk Point State Parkway. East of the interchange with the Heckscher State Parkway in Islip Terrace, NY 27 acts as the primary east–west highway on southern Long Island. The entire route in Suffolk, Nassau, and Queens counties was designated by the New York State Senate as the POW/MIA Memorial Highway. Every town on the South Shore is accessible through Sunrise Highway. The service roads that parallel the highway from Farmingdale to Brookhaven are officially designated, but not signed, as New York State Route 906C and New York State Route 906D.
Document 6: Montauk Point State Park: 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.
Document 7: Holbrook, New York: Holbrook is a hamlet and census-designated place (CDP) in Suffolk County, New York, United States. The population was 27,195 at the 2010 census. The community borders on the east side of Long Island MacArthur Airport.
Document 8: Montauk Highway: Montauk Highway is an east–west road extending for 95 mi across the southern shore of Long Island in Suffolk County, New York, in the United States. It extends from the Nassau County line in Amityville, where it connects to Merrick Road, to Montauk Point State Park at the very eastern end of Long Island in Montauk. The highway is known by several designations along its routing, primarily New York State Route 27A (NY 27A) from the county line to Oakdale and NY 27 east of Southampton. The portion of Montauk Highway between Oakdale and Southampton is mostly county-maintained as County Route 80 and County Route 85 (CR 80 and CR 85, respectively).
Document 9: Rockaway, Queens: The Rockaway Peninsula, commonly referred to as The Rockaways or Rockaway, is the name of a peninsula on Long Island, New York. The Rockaway Peninsula is located entirely within the New York City borough of Queens. A popular summer resort area since the 1830s, Rockaway has become a mixture of lower, middle, and upper-class neighborhoods. Its relative isolation from the urban areas of the city, especially Manhattan, has traditionally made it a popular summer retreat. In the 2010s, it became one of the city's most quickly gentrifying areas.
Document 10: Montauk Point Light: The Montauk Point Light is a lighthouse located adjacent to Montauk Point State Park, at the easternmost point of Long Island, in the hamlet of Montauk in the Town of East Hampton in Suffolk County, New York. The lighthouse was the first to be built within the state of New York, and was the first public works project of the new United States. It is the fourth oldest active lighthouse in the United States. Long listed on the National Register of Historic Places, in 2012, it was designated as a National Historic Landmark for its significance to New York and international shipping in the early Federal period.
Document 11: Rocky Point, New York: Rocky Point is a hamlet and census-designated place (CDP) in Suffolk County, New York on the North Shore of Long Island. As of the 2010 United States Census, the CDP population was 14,014. Rocky Point is a community in the Town of Brookhaven.
Document 12: Islip, New York: Islip ( ) is one of ten towns in Suffolk County, New York (USA). Located on the South Shore of Long Island, the town population was 335,543 at the 2010 census. Within the Town of Islip is a smaller, unincorporated hamlet and census-designated place also named Islip.
Document 13: Suffolk County, New York: Suffolk County is a suburban county on Long Island and the easternmost county in the U.S. state of New York. As of the 2010 census, the county's population was 1,493,350, estimated to have decreased to 1,492,583 in 2016, making it the fourth-most populous county in New York. Its county seat is Riverhead, though most county offices are located in Hauppauge. The county was named after the county of Suffolk in England, from where its earliest European settlers came.
Document 14: Montauk County Park: Montauk County Park, formerly known as Theodore Roosevelt County Park, is located approximately 3 mi east of Montauk, New York. The park is 1157 acres in size, running from Montauk Highway north to Block Island Sound and is bordered on the east by Montauk Point State Park.
Document 15: Bay Shore, New York: Bay Shore is a hamlet and census-designated place (CDP) in the Town of Islip, Suffolk County, New York, United States. It is situated on the South Shore of Long Island, adjoining the Great South Bay. In 2008, Bay Shore celebrated the 300th anniversary of the purchase of the land from the Secatogue Native Americans. The population of the CDP was 26,337 at the time of the 2010 census.
ground_truth: Suffolk County