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Sudoku is a solitaire game of logic in which the player is given a grid of 9 × 9 cells, each of which may contain a number from 1 to 9, or be blank or white, the grid should be considered divided into 9 "UNDERGRATE" calls regions of 3 × 3 contiguous cells. The player is given a grid in which only some cells, 20 to 35, containing the numbers. The goal is to fill the empty spaces of a grid made of rows, columns and boxes with numbers 1 to 9, so that every row, column and region contains all the digits 1 to 9 (each one time).The Sudoku textbook enigmatic must meet three requirements:   1. the initial numbers must form a symmetrical pattern relative to the center of the grid;   2. there must be a unique solution;   3. the initial numbers should be less than 35.Is worth pointing out that, contrary to what is often said, sudoku is a logic game but not really mathematics, much less the game has to do with numbers. The properties of the numbers are never used, nor is the fact that they never used numbers. To understand the thing just think that the game would be exactly the same if instead of the first nine numbers they used the first nine letters of the alphabet or nine different symbols to each other (do not even need that there is an order between the symbols).RulesThe game has one rule: you must fill the grid proposal so that each row, column and undergrate, each digit from 1 to 9 appear once and only once.ToolsTo complete a Sudoku are only logical reasoning, deduction, concentration and patience, and of course a pencil and rubber, for any (and sometimes unavoidable) errors.SolutionLike any logical game well built, each Sudoku has to admit a single solution to allow the player a good response with the result.It should be noted that while a Sudoku "simple" (with 35 numbers already filled in) has only one solution, a Sudoku "difficult", (with 20 numbers) may have several solutions: on the other hand, a Sudoku empty, with only spaces certainly has a very large number of solutions.DifficultyOne of the rules of Sudoku provides that each Giglia present, leaving no more than 30 numbers.The difficulty of a pattern increases as the numbers provided at the start down, but does not depend only on this: even their placement affects the level of difficulty of the game.Historically, this game is an event far easier to solve an ancient and famous game of logic and mathematics to which he has also Euler, it is the "greek-Latin squares."

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