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Another form of logic puzzle, popular among puzzle enthusiasts and available in magazines dedicated to the subject, is a format in which the set-up to a scenario is given, as well as the object (for example, determine who brought what dog to a dog show, and what breed each dog was), certain clues are given ("neither Misty nor Rex is the German Shepherd"), and then the reader fills out a matrix ...
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
Equivalence problem for star-free regular expressions with squaring. [21] Covering for linear grammars [37] Structural equivalence for linear grammars [38] Equivalence problem for Regular grammars [39] Emptiness problem for ET0L grammars [40] Word problem for ET0L grammars [41] Tree transducer language membership problem for top down finite ...
The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.
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 collection of puzzles involving numbers, logic, and probability 1962 Nov: Some puzzles based on checkerboards: 1962 Dec: Some simple tricks and manipulations from the ancient lore of string play: 1963 Jan: The author pays his annual visit to Dr. Matrix, the numerologist: 1963 Feb: Curves of constant width, one of which makes it possible to ...
Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. [ 1 ] [ 2 ] A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps.
A typical starting point in the solution of a Light Up puzzle is to find a black cell with a 4, or a cell with a smaller number that is blocked on one or more sides (for example, a 3 against a wall or a 2 in a corner) and therefore has only one configuration of surrounding bulbs. After this step, other numbered cells may be illuminated on one ...