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The bridge and torch problem (also known as The Midnight Train [1] and Dangerous crossing [2]) is a logic puzzle that deals with four people, a bridge and a torch. It is in the category of river crossing puzzles , where a number of objects must move across a river, with some constraints.
By way of specifying the logical task unambiguously, solutions involving either reaching an island or mainland bank other than via one of the bridges, or; accessing any bridge without crossing to its other end; are explicitly unacceptable. Euler proved that the problem has no solution.
Well-known river-crossing puzzles include: The fox, goose, and bag of beans puzzle, in which a farmer must transport a fox, goose and bag of beans from one side of a river to another using a boat which can only hold one item in addition to the farmer, subject to the constraints that the fox cannot be left alone with the goose, and the goose cannot be left alone with the beans.
By the late 1990s feasibility studies had been carried out for constructing a bridge. Ideas involved a bridge carrying both a four-lane motorway and two electrified rail tracks. This solution was for years regarded as the most likely scheme and detailed plans were drawn up. The Fehmarn Belt bridge was originally expected to be completed by 2018.
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This is a list of bridges and other crossings of the Connecticut River from its mouth at Long Island Sound upstream to its source at the Connecticut Lakes.The list includes current road and rail crossings, as well as ferries carrying a state highway across the river.
The value D is found in the solution as the real part of the difference in the squares of the complex coordinates of the two walls. The imaginary part = 2X a Y a = 2X b Y b (walls a and b). The short ladder in the complex solution in the 3, 2, 1 case appears to be tilted at 45 degrees, but actually slightly less with a tangent of 0.993.
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