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Solution of a travelling salesperson problem: the black line shows the shortest possible loop that connects every red dot. The travelling salesman problem, also known as the travelling salesperson problem (TSP), asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns ...
So, for example, if a route is 20 kilometres (12 mi) with 1600 metres of climb (as is the case on leg 1 of the Bob Graham Round, Keswick to Threlkeld), the equivalent flat distance of this route is 20+(1.6×8)=32.8 kilometres (20.4 mi). Assuming an individual can maintain a speed on the flat of 5 km/h, the route will take 6 hours and 34 minutes.
Circular walk alongside six canals, via Dukinfield and Marple. Circular route around the city of Coventry in West Midlands and Warwickshire. Links four long-distance footpaths: Oxford Canal Walk, Thames Path, The Ridgeway and Oxfordshire Way. Follows the western boundary of Oxfordshire in unspoilt countryside.
This is a list of notable long-distance trails in the United States, with a minimum length of 30 miles (48 km). Linear path traveling through the Appalachian and Allegheny Mountains. Loop trail in Moshannon State Forest. Passes through Delaware, Maryland, West Virginia, Ohio, Kentucky (Southern Route), Indiana, Illinois, Iowa (Northern Route ...
The Coast to Coast Walk is a long-distance footpath between the west and east coasts of Northern England, nominally 190-mile (306 km) long.Devised by Alfred Wainwright, it passes through three contrasting national parks: the Lake District National Park, the Yorkshire Dales National Park, and the North York Moors National Park. [1]
The West Highland Way (Scottish Gaelic: Slighe Taobh an Iar na Gàidhealtachd) is a linear long-distance route in Scotland. It is 154 km (96 miles) long, running from Milngavie north of Glasgow to Fort William in the Scottish Highlands, with an element of hill walking in the route. [3] The trail, which opened in 1980, was Scotland's first ...
Shortest path problem. Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. [1]
The Essex Way is a waymarked long-distance footpath 81 miles (130 km) long, along footpaths and roads in Essex, England. The trail starts in Epping in the southwest, crosses Dedham Vale and Constable country to finish at the port of Harwich on the Stour estuary. It leads through ancient woodlands, open farmland, tree-lined river valleys and ...
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