Question: Is Red Lodge Mountain northeast or northwest of the Greater Yellowstone Ecosystem?

full_context: Document 1: Index Peak (Wyoming): Index Peak, el. 10709 ft , is a prominent mountain peak in the Absaroka Range in Park County, Wyoming. The peak is visible from US Route 212, the Beartooth Highway just east of the Northeast Entrance Station to Yellowstone National Park. Pilot Peak rises just south of Index Peak.
Document 2: Absaroka-Beartooth Wilderness: Absaroka-Beartooth Wilderness was created from existing National Forest lands in 1978 and is located in Montana and Wyoming, United States. The wilderness is partly in Gallatin, Custer and Shoshone National Forests and is composed of 944,000 acre . The wilderness encompasses two distinct mountain ranges, namely the Beartooth and Absaroka ranges. These ranges are completely distinct geologically speaking with the Absarokas composed primarily of volcanic (or extrusive) and metamorphic rock, while the Beartooths are made up almost entirely of granitic rocks. The Absarokas are noted for their dark and craggy appearance, lush and heavily forested valleys and abundant wildlife. The highest peak in the range, located in Wyoming, is Francs Peak at 13,153 ft . The Beartooths are more alpine with huge treeless plateaus and the highest peak in the state of Montana (Granite Peak 12,799 ft ). The wilderness contains 30 peaks over 12,000 ft . The wilderness is an integral part of the 20 e6acre Greater Yellowstone Ecosystem and borders Yellowstone National Park.
Document 3: Bitterroot Range: The Bitterroot Range is a mountain range and a subrange of the Rocky Mountains that runs along the border of Montana and Idaho in the northwestern United States. The range spans an area of 24223 mi2 and is named after the bitterroot ("Lewisia rediviva"), a small pink flower that is the state flower of Montana.
Document 4: Red Lodge, Montana: Red Lodge is a city in and the county seat of Carbon County, Montana, United States. It is part of the Billings Metropolitan Statistical Area. The population was 2,125 at the United States Census, 2010.
Document 5: Red Lodge Airport: Red Lodge Airport (ICAO: KRED, FAA LID: RED) is a public use airport located one nautical mile (1.85 km) northwest of the central business district of Red Lodge, a city in Carbon County, Montana, United States. It is owned by the City of Red Lodge and Carbon County. According to the FAA's National Plan of Integrated Airport Systems for 2009–2013, it is categorized as a "general aviation" airport.
Document 6: Red Rock Pass (Beaverhead County, Montana): Red Rock Pass, el. 7152 ft is a mountain pass in Beaverhead County, Montana. The pass lies on the Continental Divide just north of the eastern Centennial Mountains. It separates Beaverhead County, Montana (west) from Fremont County, Idaho (east). The pass is traversed by an unimproved gravel road.
Document 7: Custer National Forest: Custer National Forest is located primarily in the south central part of the U.S. state of Montana but also has separate sections in northwestern South Dakota. With a total area of 1188130 acre , the forest comprises over 10 separate sections. While in the westernmost sections, Custer National Forest is a part of the Greater Yellowstone Ecosystem, the easternmost sections are a combination of forest "islands" and grasslands. A portion of the forest is also part of the Absaroka-Beartooth Wilderness and constitutes over a third of the wilderness land. South of Red Lodge, Montana, the Beartooth Highway (U.S. 212) passes through the forest en route to Yellowstone National Park.
Document 8: Lemhi Pass: Lemhi Pass is a high mountain pass in the Beaverhead Mountains, part of the Bitterroot Range in the Rocky Mountains and within Salmon-Challis National Forest. The pass lies on the Montana-Idaho border on the continental divide, at an elevation of 7373 feet above sea level. It is accessed via Lemhi Pass Road in Montana, and the Lewis and Clark Highway in Idaho, both dirt roads. Warm Springs Road, which roughly follows the divide in Montana, passes just west of the pass's high point.
Document 9: Beartooth Mountains: The Beartooth Mountains are located in south central Montana and northwest Wyoming, U.S. and are part of the 900,000 acre (3,600 km) Absaroka-Beartooth Wilderness, within Custer, Gallatin and Shoshone National Forests. The Beartooths are the location of Granite Peak, which at 12,807 feet (3,904 m) is the highest point in the state of Montana. The mountains are just northeast of Yellowstone National Park and are part of the Greater Yellowstone Ecosystem. The mountains are traversed by road via the Beartooth Highway (U.S. 212) with the highest elevation at Beartooth Pass (10,947 ft, 3,345 m). The name of the mountain range is attributed to a rugged peak found in the range, Beartooth Peak, that has the appearance of a bear's tooth.
Document 10: Moonlight Basin: Moonlight Basin was a ski resort in southwestern Montana, located in the Madison Range of the Rocky Mountains in the resort village of Big Sky. In October 2013, it, along with ski terrain within the Club at Spanish Peaks, were consolidated into Big Sky Resort, making Big Sky the largest single ski resort in the United States, with 5,750 acres (2,330 ha) of terrain and over 30 ski lifts.
Document 11: Granite Range (Montana): The Granite Range, el. 11092 ft , is a mountain range southwest of Absarokee, Montana in Stillwater County, Montana.
Document 12: Absaroka Range: The Absaroka Range ( or ) is a sub-range of the Rocky Mountains in the United States. The range stretches about 150 mi (240 km) across the Montana-Wyoming border, and 75 miles at its widest, forming the eastern boundary of Yellowstone National Park along Paradise Valley (Montana), and the western side of the Bighorn Basin. The range borders the Beartooth Mountains to the north and the Wind River Range to the south. The northern edge of the range rests along I-90 and Livingston, Montana. The highest peak in the range is Francs Peak, located in Wyoming at 13153 ft . There are 46 other peaks over 12000 ft .
Document 13: Bridger Range: The Bridger Range, also known as the Bridger Mountains, is a subrange of the Rocky Mountains in southwestern Montana in the United States. The range runs mostly in a north–south direction between Bozeman and Maudlow. It is separated from the Gallatin Range to the south by Bozeman Pass; from the Horseshoe Hills to the west by Dry Creek; from the Crazy Mountains to the east by the Shields River valley; and from the Big Belt Mountains to the north by Sixteen Mile Creek. The highest point in the Bridger Range is Sacagawea Peak (9596 ft ), which is visible to the northeast from Bozeman.
Document 14: List of people from Montana: Montana is a state in the Western United States. The western third of Montana contains numerous mountain ranges. Smaller, "island ranges" are found in the central third of the state, for a total of 77 named ranges of the Rocky Mountains. This geographical fact is reflected in the state's name, derived from the Spanish word "montaña" (mountain). Montana has several nicknames, none official, including: "The Treasure State" and "Big Sky Country", and slogans that include "Land of the Shining Mountains" and more recently, "The Last Best Place". The state ranks fourth in area, but 44th in population, and accordingly has the third-lowest population density in the United States. The economy is primarily based on services, with ranching, wheat farming, oil and coal mining in the east, and lumber, tourism, and hard rock mining in the west. Millions of tourists annually visit Glacier National Park, the Little Bighorn Battlefield National Monument, and three of the five entrances to Yellowstone National Park.
Document 15: Red Lodge Mountain: Red Lodge Mountain is an alpine ski area in the western United States, located in south-central Montana along the eastern front of the Beartooth Mountains, west of the town of Red Lodge.
ground_truth: northeast