How many Sudoku solution grids are there?

the number of valid Sudoku solution grids for the standard 9×9 grid was calculated by Bertram Felgenhauer and Frazer Jarvis in 2005 to be 6,670,903,752,021,072,936,960 . This number is equal to 9! × 72 2 × 2 7 × 27,704,267,971, the last factor of which is prime.

What is a Sudoku puzzle made of?

A Sudoku puzzle consists of a 9x9 grid of squares, broken up into a 3x3 grid of blocks made up of nine squares each. The goal of a puzzle is to fit the numbers 1 through 9 into each of the 81 squares of the grid so that each row, column, and block has exactly one of each number.

Is it possible to solve Sudoku puzzles from a player’s perspective?

Solving Sudokus from the viewpoint of a player has been explored in Denis Berthier’s book The Hidden Logic of Sudoku (2007) which considers strategies such as hidden xy-chains. The general problem of solving Sudoku puzzles on n2 × n2 grids of n × n blocks is known to be NP-complete.

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The Math Behind Sudoku: Counting Solutions

667090375202

They computed the number N 1 of valid completions with B1 in standard form, starting with the 44 bands. Then they multiplied this number by 9! to get the answer. They discovered that the number of possible 9 by 9 Sudoku grids is N=6670903752021072936960 which is …

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shoelane.press UK Reviews

148538631793

Shoe Lane Press is your trusted source for thousands of unique sudoku crossword and word search puzzles as well as healthy and easy recipes. Phone 1485386317936

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Frequently Asked Questions
How many Sudoku solution grids are there?
the number of valid Sudoku solution grids for the standard 9×9 grid was calculated by Bertram Felgenhauer and Frazer Jarvis in 2005 to be 6,670,903,752,021,072,936,960 . This number is equal to 9! × 72 2 × 2 7 × 27,704,267,971, the last factor of which is prime.
What is a Sudoku puzzle made of?
A Sudoku puzzle consists of a 9x9 grid of squares, broken up into a 3x3 grid of blocks made up of nine squares each. The goal of a puzzle is to fit the numbers 1 through 9 into each of the 81 squares of the grid so that each row, column, and block has exactly one of each number.
Is it possible to solve Sudoku puzzles from a player’s perspective?
Solving Sudokus from the viewpoint of a player has been explored in Denis Berthier’s book The Hidden Logic of Sudoku (2007) which considers strategies such as hidden xy-chains. The general problem of solving Sudoku puzzles on n2 × n2 grids of n × n blocks is known to be NP-complete.

Sudoku With Numbers