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    lol on your way we will suppose that:
    'NORTH','SOUTH' may represent:say,going 10 miles north to the next junction,2miles south

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    You're not necessarily going the same distance with every direction change. Imagine a network of mountain trails; the junctions between trails may not be equally spaced. NORTH WEST SOUTH EAST might represent, say, going 10 miles north to the next junction, 5 miles west, 5 miles south and 2 miles east.