数独难题的数量 [英] number of possible sudoku puzzles
问题描述
Wiki http://en.wikipedia.org/wiki/Mathematics_of_Sudoku 说Sudoku有6,670,903,752,021,072,936,960可能的排列.我试图找出答案,但这似乎很困难.有人可以告诉我该数字是如何计算的.
Wiki http://en.wikipedia.org/wiki/Mathematics_of_Sudoku says Sudoku has 6,670,903,752,021,072,936,960 possible permutations.I tried to find out but it seems difficult.Can someone tell me how this number is calculated.
推荐答案
You can find all about it in this Wiki: http://en.wikipedia.org/wiki/Mathematics_of_Sudoku.
"Bertram Felgenhauer和Frazer Jarvis在2005年计算的标准9×9网格的有效Sudoku解决方案网格数为6,670,903,752,021,072,936,960.这个数字等于9!×72 2 × 2 7 ×27,704,267,971,最后一个因子是素数.结果是通过逻辑和蛮力计算得出的."
"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! × 722 × 27 × 27,704,267,971, the last factor of which is prime. The result was derived through logic and brute force computation."
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