Question: Mount Cardigan is a prominent bare-rock summit in the towns of Orange and Alexandria, a town in Grafton County, New Hampshire, in which country?

full_context: Document 1: Carroll, New Hampshire: Carroll is a town in Coos County, New Hampshire, United States. The population was 763 at the 2010 census. The two largest villages are Twin Mountain and Bretton Woods. Carroll is an important access point for recreational areas in the White Mountains, including many 4,000-footers, the Zealand River area, the Presidential Range, and the Presidential Dry River Wilderness. The town is crossed by the Appalachian Trail and is home to the Mount Washington Hotel at Bretton Woods. It is also home to the Highland Center at Crawford Notch, the Appalachian Mountain Club's four-season lodge.
Document 2: Lincoln, New Hampshire: Lincoln is a town in Grafton County, New Hampshire, United States. It is the second-largest town by area in New Hampshire. The population was 1,662 at the 2010 census. The town is home to the New Hampshire Highland Games and to a portion of Franconia Notch State Park. Set in the White Mountains, large portions of the town are within the White Mountain National Forest. The Appalachian Trail crosses in the northeast. Lincoln is the location of the Loon Mountain ski resort and associated recreation-centered development.
Document 3: Bare Mountain (Massachusetts): Bare Mountain, 1014 ft above sea level, is a prominent peak of the Holyoke Range of traprock mountains located in the Connecticut River Valley of Massachusetts, and part of the greater Metacomet Ridge that stretches from Long Island Sound to nearly the Vermont border. The peak rises steeply from the river valley 1000 ft below; its bald summit offers sweeping views. Bare Mountain is located within the towns of Amherst and South Hadley, Massachusetts. Part of its northeastern flanks are in Hadley and part of its southern flanks are in Granby. It is traversed by the 110 mi Metacomet-Monadnock Trail.
Document 4: Cardigan Mountain School: Cardigan Mountain School, also called Cardigan or CMS, for short, is an all-boys independent boarding school for grades six through nine, located on 62 Alumni Drive, Canaan, New Hampshire, USA. It was founded in 1945 on land provided by Dartmouth College.
Document 5: Newfound Lake: Newfound Lake is located in Grafton County, New Hampshire, United States. It is situated in the Lakes Region of central New Hampshire, in the towns of Alexandria, Bridgewater, Bristol, and Hebron. Its area of 4451 acre places it behind only Lake Winnipesaukee and Squam Lake among lakes located entirely within New Hampshire, and fourth in the state overall, when Umbagog Lake on the Maine border is included. Newfound Lake is refreshed twice a year by eight underground springs and has 22 mi of shore line. The lake is about 2.5 mi wide and 6 mi long. The deepest point is 183 ft . Major tributaries include the Fowler River and the Cockermouth River. Its outlet is the Newfound River, flowing through Bristol village into the Pemigewasset River. The lake volume is 98 billion gallons of water.
Document 6: Cardigan Pluton: The Cardigan Pluton is the most voluminous pluton in the state of New Hampshire, United States. The onset of magmatism was during the Acadian orogeny, and the pluton is part of the Kinsman suite of the New Hampshire Plutonic Series. The pluton is approximately 20 km wide by 90 km long and on average about 2.5 km thick. It is exposed in west-central New Hampshire along a north-northeast by south-southwest axis, extending from the town of Groton in the north to Dublin in the south. Mount Cardigan, from which the pluton is named, stands near the north end.
Document 7: Cardigan Pluton: The Cardigan Pluton is the most voluminous pluton in the state of New Hampshire, United States. The onset of magmatism was during the Acadian orogeny, and the pluton is part of the Kinsman suite of the New Hampshire Plutonic Series. The pluton is approximately 20 km wide by 90 km long and on average about 2.5 km thick. It is exposed in west-central New Hampshire along a north-northeast by south-southwest axis, extending from the town of Groton in the north to Dublin in the south. Mount Cardigan, from which the pluton is named, stands near the north end.
Document 8: Mount Cardigan: Mount Cardigan is a prominent bare-rock summit in the towns of Orange and Alexandria in western New Hampshire. While its peak is only 3155 ft above sea level, it has extensive areas of bare granite ledges and alpine scrub, giving it the feel to hikers of a much higher mountain. Most of the summit area was denuded by devastating forest fires in 1855.
Document 9: Gilford, New Hampshire: Gilford is a town in Belknap County, New Hampshire, United States. The population was 7,126 at the 2010 census. Situated on Lake Winnipesaukee, Gilford is home to Governors Island, Ellacoya State Beach, Belknap Mountain State Forest, Gunstock Mountain Ski Resort, and Bank of New Hampshire Pavilion at Meadowbrook, a seasonal outdoor concert venue.
Document 10: Alexandria, New Hampshire: Alexandria is a town in Grafton County, New Hampshire, United States. The population was 1,613 at the 2010 census. Newfound Lake is in the northeast corner, with Wellington State Park on the western shore. The town is home to Welton Falls State Forest. Cardigan Mountain State Park, with Mount Cardigan, is in the west. Another attraction is Mowglis Mountain, named for Rudyard Kipling's "Jungle Book" hero.
Document 11: Cardigan Mountain State Park: Cardigan Mountain State Park is a 5655 acre state park in Orange, New Hampshire. The park is free to use, open year-round, and offers a hiking trail up to the 3,121-foot treeless granite summit of Mount Cardigan. There are picnic facilities.
Document 12: Bristol, New Hampshire: Bristol is a town in Grafton County, New Hampshire, United States. The population was 3,054 at the 2010 census. It is home to Wellington State Park, Sugar Hill State Forest, and Profile Falls on the Smith River. Surrounded by hills and lakes, Bristol includes the lower two-thirds of Newfound Lake, a resort area.
Document 13: Old Man of the Mountain: The Old Man of the Mountain, also known as the Great Stone Face or the Profile, was a series of five granite cliff ledges on Cannon Mountain in the White Mountains of New Hampshire, United States, that appeared to be the jagged profile of a face when viewed from the north. The rock formation was 1200 ft above Profile Lake, and measured 40 ft tall and 25 ft wide. The site is located in the town of Franconia.
Document 14: Haverhill, New Hampshire: Haverhill is a town in Grafton County, New Hampshire, United States. The population was 4,697 at the 2010 census. Haverhill includes the villages of Woodsville, Pike, and North Haverhill, the historic town center at Haverhill Corner, and the district of Mountain Lakes. Located here are Bedell Bridge State Park, Black Mountain State Forest, Kinder Memorial Forest, and Oliverian Valley Wildlife Preserve. It is home to the annual North Haverhill Fair, and to a branch of the New Hampshire Community Technical Colleges. The village of North Haverhill is the county seat of Grafton County.
Document 15: Gile Mountain: Gile Mountain is located in Windsor County, Vermont, along the border between the towns of Norwich and Sharon, with the summit located in Norwich. The mountain reaches a height of 1873 ft above sea level. Relatively unimposing considering its height, the true summit cannot easily be seen from the surrounding territory, despite the prominent fire tower atop its summit. The tower is easily reached by taking Turnpike Road from Norwich to the parking area near its terminus. From here, the Gile Mountain trail leads west 0.7 mi to the summit, passing under power lines. The summit area contains an old ranger cabin, since converted to a shelter-type structure (though camping is not allowed), and the tower itself. From the top views are expansive, and on a clear day one can see Mount Ascutney to the south, the Green Mountains from Killington Peak to Mount Mansfield to the west, Mount Cardigan, Smarts Mountain, and Croydon Peak to the east, and Mount Cube and Mount Moosilauke to the northeast with many of the White Mountains beyond. Dartmouth College is also visible some seven miles distant.
ground_truth: United States