Determine if a Sudoku is valid, according to: .
The Sudoku board could be partially filled, where empty cells are filled with the character '.'
.
A partially filled sudoku which is valid.
Note:
A valid Sudoku board (partially filled) is not necessarily solvable. Only the filled cells need to be validated.思路:
分别用三个二维数组分别记录行、列和子数独里面数字的使用情况。一旦发现已经有数字之前被占用了,返回false。
其中需要注意的是,子数独的下标,如上图中一共存在3*3个子数独,每行3个,一共3行。对于大的数独索引(i,j),对应到
子数独的下标为:i/3 * 3 + j/3 。(比如,对于一个二维m*n的数组,坐标(a,b)映射到一维坐标为:所在行a乘以列数n+列坐标b 即a*n+b)
这里i/3 * 3 + j/3相当于第i/3行,j/3列。
如下是写的:
参考:
bool isValidSudoku(vector>& board) { int rowcheck[9][9] = { 0},colcheck[9][9] = { 0},subboxcheck[9][9] = { 0}; for(int i = 0;i