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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.
If the boat holds 2 people, then 2 couples require 5 trips; with 4 or more couples, the problem has no solution. [6] If the boat can hold 3 people, then up to 5 couples can cross; if the boat can hold 4 people, any number of couples can cross. [4], p. 300.
A river crossing puzzle is a type of puzzle in which the object is to carry items from one river bank to another, usually in the fewest trips. The difficulty of the puzzle may arise from restrictions on which or how many items can be transported at the same time, or which or how many items may be safely left together. [ 1 ]
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The game's puzzles are inspired by the art of M. C. Escher and like his artworks, each level unfolds in grayscale with hand-drawn illustrations. [4] The player can rotate the world using the arrow keys, changing the gravitational direction of individual objects, or control the main character with A and D to go left and right.
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The solution line must cross over each "wall" exactly once, where "cross over" means to pass completely from one to the other of the two rooms that are separated by the "wall", or from a room to the area outside the drawing. This precludes "crossing" two walls at the same time by drawing the solution line through the corner at which they meet.