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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.
Hashiwokakero (橋をかけろ Hashi o kakero; lit. "build bridges!") is a type of logic puzzle published by Nikoli. [1] It has also been published in English under the name Bridges or Chopsticks (based on a mistranslation: the hashi of the title, 橋, means bridge; hashi written with another character, 箸, means chopsticks).
This is a shortest solution to the problem, but is not the only shortest solution. [ 4 ] , p. 291. If however, only one man can get out of the boat at a time and husbands must be on the shore to count as with his wife as opposed to just being in the boat at the shore: move 5 to 6 is impossible, for as soon as γ has stepped out b on the shore ...
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.
The key to the solution is realizing that one can bring things back (emphasized above). This is often unclear from the wording of the story, but never forbidden. Knowing this will make the problem easy to solve even by small children. The focus of the puzzle is not just task scheduling, but creative thinking, similarly to the Nine dots puzzle.
The tale also comes into play during the first King's Quest (1983) game. A troll is guarding a bridge Graham needs to cross. The optimum solution to the puzzle is to lure a goat over to the bridge. Upon seeing the troll, the goat is angered, and butts it into the river below. The tale also comes into play during Magicland Dizzy (1990). A troll ...
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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 ]