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Like many other combinatory and logic puzzles, Masyu can be very difficult to solve; solving Masyu on arbitrarily large grids is an NP-complete problem. [2] However, published instances of puzzles have generally been constructed in such a way that they can be solved in a reasonable amount of time.
A solution to Kirkman's schoolgirl problem with vertices denoting girls and colours denoting days of the week [1]. Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in The Lady's and Gentleman's Diary (pg.48).
Jigsaw puzzles geared towards children typically have significantly fewer pieces and are typically much larger. For very young children, puzzles with as few as 4 to 9 large pieces (so as not to be a choking hazard) are standard. They are usually made of wood or plastic for durability and can be cleaned without damage.
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The computational problem of solving Sokoban puzzles was first shown to be NP-hard. [9] [10] Further work proved it is also PSPACE-complete. [11] [12] Solving non-trivial Sokoban puzzles is difficult for computers because of the high branching factor (many legal pushes at each turn) and the large search depth (many pushes needed to reach a ...
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