Determine if a Sudoku is valid, according to: Sudoku Puzzles - The Rules.
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.
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public class _36ValidSudoku {
public boolean isValidSudoku(char[][] board) {
boolean[] visited = new boolean[9];
// row
for (int i = 0; i < 9; i++) {
Arrays.fill(visited, false);
for (int j = 0; j < 9; j++) {
if (!process(visited, board[i][j]))
return false;
}
}
// col
for (int i = 0; i < 9; i++) {
Arrays.fill(visited, false);
for (int j = 0; j < 9; j++) {
if (!process(visited, board[j][i]))
return false;
}
}
// sub matrix
for (int i = 0; i < 9; i += 3) {
for (int j = 0; j < 9; j += 3) {
Arrays.fill(visited, false);
for (int k = 0; k < 9; k++) {
if (!process(visited, board[i + k / 3][j + k % 3]))
return false;
}
}
}
return true;
}
private boolean process(boolean[] visited, char digit) {
if (digit == '.') {
return true;
}
int num = digit - '0';
if (num < 1 || num > 9 || visited[num - 1]) {
return false;
}
visited[num - 1] = true;
return true;
}
}
访问小范围的九宫格就有点麻烦。board[i + k / 3][j + k % 3],用这个表示就很好。