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.
A valid Sudoku board (partially filled) is not necessarily solvable. Only the filled cells need to be validated.
Solution:O(n^2)
public class Solution { public boolean isValidSudoku(char[][] board){ boolean [][] rows=new boolean[9][9];
boolean [][] cols=new boolean[9][9];
boolean [][] blocks=new boolean[9][9];
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
int c = board[i][j] - '1';
if (board[i][j] == '.')
continue;
int index = i - i % 3+ j / 3;
if (rows[i][c] || cols[j][c] || blocks[index][c])
return false; rows[i][c] = cols[j][c] = blocks[index][c] = true;
}
}
return true;
}
}
Key Concept: use i,j to get it's block index
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