Question: Hunter Mountain is the second highest peak in the Catskills, in the south east area of which U.S. State?

full_context: Document 1: Hunter Mountain (New York): Hunter Mountain is in the towns of Hunter and Lexington, just south of the village of Hunter, in Greene County, New York, United States. At approximately 4040 ft in elevation, it is the highest peak in the county and the second-highest peak in the Catskill Mountains.
Document 2: Pochuck Mountain: Pochuck Mountain is a ridge in the New York-New Jersey Highlands region of the Appalachian Mountains. Pochuck Mountain's summit and most of its peaks lie within Vernon Township, Sussex County, New Jersey, although the south-western portion of the ridge lies within Hardyston Township, and the north-eastern tip of the ridge extends over the New York state line into Orange County. The ridge marks the eastern edge of the Great Appalachian Valley, and it divides the watersheds of the Wallkill River and its tributary Pochuck Creek. The two rivers meet at Pochuck Neck, marking the terminus of the ridge.
Document 3: Stony Clove Notch: Stony Clove Notch is a narrow pass, roughly 2,220 feet (677 m) in elevation located in the Town of Hunter in Greene County, New York, deep in the Catskill Mountains. It is traversed by New York State Route 214, although in the past the Ulster and Delaware Railroad went through it as well.
Document 4: Albany, New York: Albany ( ) is the capital of the U.S. state of New York and the seat of Albany County. Roughly 150 mi north of New York City, Albany developed on the west bank of the Hudson River, about 10 mi south of its confluence with the Mohawk River. The population of the City of Albany was 97,856 according to the 2010 census. Albany constitutes the economic and cultural core of the Capital District of New York State, which comprises the Albany-Schenectady-Troy, NY Metropolitan Statistical Area, including the nearby cities and suburbs of Troy, Schenectady, and Saratoga Springs. With a 2013 Census-estimated population of 1.1 million the Capital District is the third-most populous metropolitan region in the state and 38th in the United States.
Document 5: Mount Greylock: Mount Greylock is the highest natural point in Massachusetts at 3489 ft . Its peak is located in the northwest corner of the state in the western part of the town of Adams (near its border with Williamstown) in Berkshire County. Although geologically part of the Taconic Mountains, Mount Greylock is commonly associated with the abutting Berkshire Hills to the east. The mountain is known for its expansive views encompassing five states and the only taiga-boreal forest in the state. A seasonal automobile road (open annually from late May through November 1) climbs to the summit, where stands the iconic 93 ft lighthouse-like Massachusetts Veterans War Memorial Tower. A network of hiking trails traverse the mountain, including the 2179 mi Appalachian Trail. Mount Greylock State Reservation was created in 1898 as Massachusetts' first public land for the purpose of forest preservation.
Document 6: List of tallest buildings in Upstate New York: Upstate New York, broadly defined as a region of the U.S. state of New York north of New York City and Westchester County, is home to several skyscrapers and high-rises. The tallest building in New York State is the 104-story One World Trade Center, which was completed in 2014 and rises to 1776 ft in Lower Manhattan, New York City. New York City, the largest city in the United States, is home to the vast majority of the skyscrapers in New York; outside the city, most of the state's skyscrapers are concentrated in Albany, Buffalo and Rochester. The tallest building in Upstate New York is the 44-story Erastus Corning Tower, which rises 589 ft in Albany, the state's capital city. Although the building is the tallest in the upstate region by a significant margin, it does not appear in the 100-tallest buildings in New York state when New York City skyscrapers are included in the ranking. The second-tallest building in the upstate region is the 529 ft One HSBC Center, which also stands as the tallest building in the city of Buffalo.
Document 7: Esopus Creek: Esopus Creek is a 65.4 mi tributary of the Hudson River that drains the east-central Catskill Mountains of the U.S. state of New York. From its source at Winnisook Lake on the slopes of Slide Mountain, the Catskills' highest peak, it flows across Ulster County to the Hudson at Saugerties. Many tributaries extend its watershed into neighboring Greene County and a small portion of Delaware County. Midway along its length, it is impounded at Olive Bridge to create Ashokan Reservoir, the first of several built in the Catskills as part of New York City's water supply system. Its own flow is supplemented 13 mi above the reservoir by the Shandaken Tunnel, which carries water from the city's Schoharie Reservoir into the creek.
Document 8: Hunter Mountain Fire Tower: The Hunter Mountain Fire Tower is located on the summit of the eponymous mountain, second highest of the Catskill Mountains in the U.S. state of New York. It was the first of 23 fire lookout towers built by the state in the region, and the next-to-last of the five still standing to be abandoned.
Document 9: Bear Mountain (Connecticut): Bear Mountain, is a prominent peak of the southern Taconic Mountains. It lies within the town of Salisbury, Connecticut, in the United States, and is the highest mountain "summit" in the state of Connecticut. The highest "point" in the state, however, is located on the south slope of Mount Frissell 1.3 mi to the west at 2379 ft . Much of the mountain is protected as part of the viewshed and corridor of the Appalachian National Scenic Trail, which crosses the summit grounds. From the summit the view includes Twin Lakes and cultivated fields to the east, the Catskills and nearby Taconic peaks to the west, and Massachusetts' Mount Everett and Mount Race to the north. Though the mountain's elevation is commonly reported at 2316', the elevation near its stone monument tower, the proper summit lies approximately 125 feet northwest of the tower, accessible by a herd path following the mountain's abandoned Bee Line Trail to the Northwest Camp owned by the Connecticut Chapter of the Appalachian Mountain Club. The mountain is noted for its old growth scrub forest of pitch pines, birch, oak and other short-statured trees, much like its neighbors, Mounts Everett and Race, for its numerous wild blueberry bushes which produce in late July and early August, and for its rattlesnakes, which in summer are sometimes seen sunning themselves on the mountain's numerous open rocks of mica, schist and gneiss.
Document 10: Harriman State Park (New York): At 47527 acre , Harriman State Park is the second largest state park in New York. Located in Rockland and Orange counties 30 mi north of New York City, it is a haven for hikers with over 200 mi of hiking trails. The park is also known for its 31 lakes, multiple streams, public camping area, and great vistas. The park's hiking trails are currently maintained by volunteers from the New York - New Jersey Trail Conference.
Document 11: Catskill Mountains: The Catskill Mountains, also known as the Catskills, are a large area in the southeastern portion of the U.S. state of New York. They are located approximately 100 mi north-northwest of New York City and 40 mi southwest of Albany, starting just west of the Hudson River. The Catskills occupy much or all of five counties (Delaware, Greene, Schoharie, Sullivan, and Ulster), with some areas falling into the boundaries of southwestern Albany, eastern Broome, northwestern Orange, and southern Otsego counties. Foothills are also found in southeastern Chenango, southern Montgomery, northern Otsego, and western Schenectady counties. As a cultural and geographic region, the Catskills are generally defined as those areas close to or within the borders of the Catskill Park, a 700000 acre forest preserve protected from many forms of development under New York state law.
Document 12: Tall Peak Fire Tower: The Tall Peak Fire Tower is a historic fire tower in Ouachita National Forest. It is located at the top of Tall Peak in the southwestern part of the national forest in Polk County, Arkansas. It is a fieldstone structure, built about 1938 by a crew of the Civilian Conservation Corps (CCC), and features the distinctive flared corners that typify CCC architecture. It is accessible via a forest service road off Polk County 64 (also known as Forest Service Road 38).
Document 13: Rome Sand Plains: Rome Sand Plains is a 15000 acre pine barrens about 5 mi west of the city center of Rome in Oneida County in central New York. It consists of a mosaic of sand dunes rising about 50 ft above low peat bogs that lie between the dunes. The barrens are covered with mixed northern hardwood forests, meadows, and wetlands. About 4000 acre are protected in conservation preserves. Pine barrens are typical of seacoasts; the Rome Sand Plains is one of only a handful of inland pine barrens remaining in the United States. A second inland pine barrens, the Albany Pine Bush, is also found in New York, located north and west of state's capital Albany.
Document 14: Marlboro Mountains: The Marlboro Mountains, sometimes Marlborough Mountains, are a group of hogbacked mountains arranged in a 25 mi ridge extending from Newburgh, New York to just south of Kingston, New York. Considered to be part of the Ridge and Valley Appalachians, the mountains, which reach elevations over 1,100 feet, form an imposing geologic barrier just west of the Hudson River. They subdivide the relatively flat Hudson River Valley (a section of the Great Appalachian Valley) to create the Wallkill Valley further west. Rising abruptly on their eastern flanks, the Marlboro Mountains are known for their sweeping views of the region.
Document 15: Blue Mountain Wild Forest: The 37,800-acre Blue Mountain Wild Forest is part of the Adirondack Forest Preserve. It is made of five separate sections of acreage in the central Adirondacks. The communities of Indian Lake, Blue Mountain Lake, Long Lake, and Newcomb are located by or within the Blue Mountain Wild Forest. The terrain varies from gentle around Rock Lake to extremely steep and rugged in the Fishing Brook Range. The 3,759-foot Blue Mountain is located in the wild forest and can be seen for some distance around it. The Blue Mountain Fire Observation Station is also located within the wilderness area. The Northville-Placid Trail has a section that runs 15.2 miles through the Blue Mountain Wild Forest.
ground_truth: New York