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The constraints of Sudoku codes are non-linear: all symbols within a constraint (row, line, sub-grid) must be different from any other symbol within this constraint. Hence there is no all-zero codeword in Sudoku codes. Sudoku codes can be represented by probabilistic graphical model in which they take the form of a low-density parity-check code ...
Each row, column, or block of the Sudoku puzzle forms a clique in the Sudoku graph, whose size equals the number of symbols used to solve the puzzle. A graph coloring of the Sudoku graph using this number of colors (the minimum possible number of colors for this graph) can be interpreted as a solution to the puzzle.
SUDOKU. Play the USA TODAY Sudoku Game.. JUMBLE. Jumbles: VINYL GULCH RADISH OPAQUE. Answer: The pharaoh commissioned an artist to decorate his tomb. The result was — “HIRE-O-GLYPHICS”
A Sudoku whose regions are not (necessarily) square or rectangular is known as a Jigsaw Sudoku. In particular, an N × N square where N is prime can only be tiled with irregular N -ominoes . For small values of N the number of ways to tile the square (excluding symmetries) has been computed (sequence A172477 in the OEIS ). [ 10 ]
A Sudoku variant with prime N (7×7) and solution. (with Japanese symbols). Overlapping grids. The classic 9×9 Sudoku format can be generalized to an N×N row-column grid partitioned into N regions, where each of the N rows, columns and regions have N cells and each of the N digits occur once in each row, column or region.
A Sudoku may also be modelled as a constraint satisfaction problem. In his paper Sudoku as a Constraint Problem, [14] Helmut Simonis describes many reasoning algorithms based on constraints which can be applied to model and solve problems. Some constraint solvers include a method to model and solve Sudokus, and a program may require fewer than ...
The channel was set up in 2017 by two friends from England: Simon Anthony, a former investment banker, and Mark Goodliffe, a financial director. [ 5 ] [ 6 ] Anthony is a former member of the UK's world sudoku and world puzzle championship teams, while Goodliffe is a 13-time winner of the Times Crossword Championships and UK sudoku champion.
Sudoku. Completely fill the 9x9 grid, using the values 1 through 9 only once in each 3x3 section of the puzzle. By Masque Publishing
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