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.
public class Solution {
public boolean isValidSudoku(char[][] board) {
for(int i=0;i<9;i++){
char[]column=new char[9];
for(int j = 0;j<9;j++){
column[j]=board[j][i];
}
if(!isRow(board[i])||!isRow(column))return false;
}
for(int i=0;i<9;i+=3){
for(int j=0;j<9;j+=3){
if(!isBox(board,i,j)) return false;
}
}
return true;
}
private boolean isRow(char[] board){
Set<Character> set = new HashSet<>();
for(int i = 0;i<board.length;i++){
if(board[i]=='.') continue;
if(set.contains(board[i])) return false;
set.add(board[i]);
}
return true;
}
private boolean isBox(char[][] board,int row ,int column){
Set<Character> set = new HashSet<>();
for(int i = row;i<row+3;i++){
for(int j = column;j<column+3;j++){
if (board[i][j] == '.')
continue;
if (set.contains(board[i][j]))
return false;
set.add(board[i][j]);
}
}
return true;
}
}