Question: The Horse-Shoe Trail is a 140 mi trail that runs from the western edge of Valley Forge National Historical Park westward toward Harrisburg, Pennsylvania, it ends about 15 mi northeast of Harrisburg at the Appalachian Trail, is a marked hiking trail in the Eastern United States extending between Springer Mountain in Georgia and Mount Katahdin in which US state?

Context paragraphs:
Darlington Trail: The Darlington Trail is an orange-blazed hiking trail in Pennsylvania near Harrisburg.  It is approximately 7.7 mi in length.  At its western end, it intersects the Tuscarora Trail and the Appalachian Trail.  The trail is maintained by the Susquehanna Appalachian Trail Club (SATC).

Horse-Shoe Trail: The Horse-Shoe Trail is a 140 mi trail that runs from the western edge of Valley Forge National Historical Park westward toward Harrisburg, Pennsylvania.  It ends about 15 mi northeast of Harrisburg at the Appalachian Trail.

University of Valley Forge: The University of Valley Forge (UVF), formerly Valley Forge Christian College (VFCC), is an American four-year, residential university in Phoenixville, Pennsylvania, 8.8 miles from Valley Forge National Historical Park.  It is operated by the Assemblies of God denomination.  The college offers several Master of Arts and Master programs.

Appalachian Trail: The Appalachian National Scenic Trail, generally known as the Appalachian Trail or simply the A.T., is a marked hiking trail in the Eastern United States extending between Springer Mountain in Georgia and Mount Katahdin in Maine.  The trail is about 2,200 miles (3,500 km) long, though the exact length changes over time as parts are modified or rerouted.  The Appalachian Trail Conservancy claims that the Appalachian Trail is the longest hiking-only trail in the world.  More than 2 million people are said to do at least one day-hike on the trail each year.

International Appalachian Trail: The International Appalachian Trail (IAT; French: Sentier international des Appalaches , SIA) is a hiking trail which runs from the northern terminus of the Appalachian Trail at Mount Katahdin, Maine, through New Brunswick, to the Gaspé Peninsula of Quebec, after which it follows a ferry route to Newfoundland, and then continues to the northern-easternmost point of the Appalachian Mountains at Belle Isle, Newfoundland and Labrador.

Valley Forge, Pennsylvania: The Village of Valley Forge is an unincorporated settlement located on the west side of Valley Forge National Historical Park at the confluence of Valley Creek and the Schuylkill River in Pennsylvania, United States.  The remaining village is in Schuylkill Township of Chester County, but once spanned Valley Creek into Montgomery County.  The name Valley Forge is often used to refer to anywhere in the general vicinity of the park, and many places actually in King of Prussia, Trooper, Oaks, and other nearby communities will use the name, leading to some ambiguity on the actual location of the modern village.

Valley Forge National Historical Park: Valley Forge National Historical Park is the site of the third winter encampment of the Continental Army during the American Revolutionary War, taking place from December 19, 1777 to June 19, 1778.  The National Historical Park preserves the site and interprets the history of the Valley Forge encampment.  Originally Valley Forge State Park, it became a national historical park in 1976.  The Park contains historical buildings, recreated encampment structures, memorials, museums, and recreation facilities.

National Memorial Arch: The United States National Memorial Arch, located in Valley Forge National Historical Park, Chester County, Pennsylvania, is a monument built to celebrate the arrival of General George Washington and the Continental Army at Valley Forge.  Valley Forge was the military camp 18 miles northwest of Philadelphia where the American Continental Army spent the winter of 1777–78 during the American Revolutionary War.  Starvation, disease, malnutrition, and exposure killed more than 2,500 American soldiers by the end of February 1778.

Freedoms Foundation: The Freedoms Foundation is a national, non-profit, non-partisan, non-sectarian educational organization, founded in 1949.  The Foundation is located adjacent to the Valley Forge National Historical Park, near Valley Forge, Pennsylvania, U.S., and sits on ground that was once part of General George Washington's Valley Forge encampment during the American Revolutionary War.

Washington's Headquarters (Valley Forge): Washington's Headquarters at Valley Forge, also known as the Isaac Potts House, is a historic house that is one of the centerpieces of Valley Forge National Historical Park in southeastern Pennsylvania.  Probably built about 1773, General George Washington made his headquarters here during the encampment at Valley Forge of the Continental Army between December 1777 and June 1778.  The restored building is part of the Valley Forge National Historical Park and is open to the public.  It was designated a National Historic Landmark in 1972.

Supporting paragraphs: Horse-Shoe Trail Appalachian Trail
Answer: Maine