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  2. Travelling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Travelling_salesman_problem

    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 to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and ...

  3. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs, where the vertices correspond to intersections and the edges correspond to road segments, each weighted by the length or distance of each segment.

  4. Land's End to John o' Groats - Wikipedia

    en.wikipedia.org/wiki/Land's_End_to_John_o'_Groats

    According to a 1964 road atlas, the shortest route using classified roads was 847 miles (1,363 km) but in a 2008 road atlas, the shortest route using classified roads was 838 miles (1,349 km). [citation needed] An online route planner in 2021 also calculated the quickest route by road as 837 miles (1,347 km), estimating a time of 14 hours 50 minutes for the journey (this uses the A30, M5, M6 ...

  5. Tube Challenge - Wikipedia

    en.wikipedia.org/wiki/Tube_Challenge

    Tube Challenge. The Tube Challenge is the competition for the fastest time to travel to all London Underground stations, tracked as a Guinness World Record since 1960. The goal is to visit all the stations on the system, not necessarily all the lines; participants may connect between stations on foot, or by using other forms of public transport.

  6. List of Amtrak routes - Wikipedia

    en.wikipedia.org/wiki/List_of_Amtrak_routes

    Current routes Amtrak service is divided into three categories of routes: Northeast Corridor routes, state-supported routes, and long distance routes. These types indicate how the service is funded. Northeast Corridor service is directly subsidized by federal appropriations. Federally-supported long distance services are subsidized by appropriations under a separate line item from the NEC in ...

  7. Long-distance Amtrak routes - Wikipedia

    en.wikipedia.org/wiki/Long-distance_Amtrak_routes

    125 mph (201 km/h) (NEC) System map. The Long Distance Service Line is the division of Amtrak responsible for operating all intercity passenger train services in the United States longer than 750 miles (1,210 km). There are fifteen such routes as of 2023, serving over 300 stations in 39 states.

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