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

您可以在此Wiki中找到有关它的所有信息:

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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