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The puzzle is known to have appeared as early as 1981, in the book Super Strategies For Puzzles and Games. In this version of the puzzle, A, B, C and D take 5, 10, 20, and 25 minutes, respectively, to cross, and the time limit is 60 minutes. [6] [7] In all these variations, the structure and solution of the puzzle remain the same.
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 cycle has been popularized by a book [15] and news coverage [16] [17] and has featured in different charity events. [18] Comparison of the graphs of the Seven bridges of Konigsberg (top) and Five room puzzle (bottom). The numbers denote the number of edges connected to each node. Nodes with an odd number of edges are shaded orange.
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.
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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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In the missionaries and cannibals problem, three missionaries and three cannibals must cross a river using a boat which can carry at most two people, under the constraint that, for both banks, if there are missionaries present on the bank, they cannot be outnumbered by cannibals (if they were, the cannibals would eat the missionaries).