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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.
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The depiction by Ōkyo shows the tiger family crossing a river, with the mother carrying one cub across the river at a time. This depicts a puzzle equivalent to the puzzle of the wolf, goat, and cabbage, asking how the mother can do this without leaving the leopard cub alone with any of the other tiger cubs. [9]
One solution of the nine dots puzzle. It is possible to mark off the nine dots in four lines. [13] To do so, one goes outside the confines of the square area defined by the nine dots themselves. The phrase thinking outside the box, used by management consultants in the 1970s and 1980s, is a restatement of the solution strategy. According to ...
A diverging diamond interchange (DDI), also called a double crossover diamond interchange (DCD), [1] [2] is a subset of diamond interchange in which the opposing directions of travel on the non-freeway road cross each other on either side of the interchange so that traffic crossing the freeway on the overpass or underpass is operating on the ...
"Masonry and Metal: The Historic Bridges of Bergen County, New Jersey" (PDF). Richard Grubb and Associates. 2008. Archived from the original (PDF) on July 10, 2012 This publication lists the wrong date for the swing bridge at New Bridge Landing. Correct date built is February 4, 1889. "National Bridge Inventory Database".