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Takuzu, also known as Binairo, is a logic puzzle involving placement of two symbols, often 1s and 0s, on a rectangular grid. The objective is to fill the grid with 1s and 0s, where there is an equal number of 1s and 0s in each row and column and no more than two of either number adjacent to each other.
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 Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. [1] Players and investigators use a wide range of computer algorithms to solve Sudokus, study their properties, and make new puzzles, including Sudokus with interesting symmetries and other properties.
Gokigen Naname is played on a rectangular grid in which numbers in circles appear at some of the intersections on the grid.. The object is to draw diagonal lines in each cell of the grid, such that the number in each circle equals the number of lines extending from that circle.
Occasionally, cryptogram puzzle makers will start the solver off with a few letters. A printed code key form (the alphabet with a blank under each letter to fill in the substituted letter) is usually not provided but can be drawn to use as a solving aid if needed. Skilled puzzle solvers should require neither a code key form nor starter clue ...
The puzzle is studied by D. E. Knuth in an article on estimating the running time of exhaustive search procedures with backtracking. [2] Every position of the puzzle can be solved in eight moves or less. [3] The first known patented version of the puzzle was created by Frederick Alvin Schossow in 1900, and marketed as the Katzenjammer puzzle. [4]
Regardless of color variant, the most common solution strategy shares qualities with common methods for solving a Rubik's Cube. The solution begins with one face (most often white), where the solver will reconstruct the "star" formed by the edge pieces adjacent to that face, each one properly paired with the neighboring center color (analogous to the "white cross" of the beginner and CFOP ...
The typical means of starting a Fillomino puzzle is to draw in the obvious borders between non-matching givens and surrounding all polyominoes completed by the givens alone ('1's, pairs of orthogonally adjacent '2's, and so on). From there, the solver searches for three things, possibly in combination: Potential overloads. Each polyomino in the ...