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.
思路:每行、每列、每个3*3正方形内包含1-9各一次且仅一次,因此思路就是判断是否出现了重复数字,使用Map存储已经出现的数字,判断是否重复了。
public class Solution {
public boolean isValidSudoku(char[][] board) {
if(board == null || board.length != 9 || board[0].length != 9){
return false;
}
Map<Character, Integer> map_a = new HashMap<Character, Integer>();
Map<Character, Integer> map_b = new HashMap<Character, Integer>();
for (int i = 0; i < board.length; i++) {
map_a.clear();
map_b.clear();
for (int j = 0; j < board[0].length; j++) {
char ch_a = board[i][j];
char ch_b = board[j][i];
if (ch_a > '0' && ch_a <= '9') {
if (map_a.containsKey(ch_a)) {
return false;
}
map_a.put(ch_a,1);
} else if (ch_a != '.') {
return false;
}
if (ch_b > '0' && ch_b <= '9') {
if (map_b.containsKey(ch_b)) {
return false;
}
map_b.put(ch_b,1);
} else if (ch_b != '.') {
return false;
}
}
}
for (int i = 0; i < board[0].length - 2; i = i + 3) {
for (int j = 0; j < board[0].length - 2; j = j + 3) {
map_a.clear();
for (int m = i; m < i + 3; m++) {
for (int n = j; n < j + 3; n++) {
char ch_a = board[m][n];
if (ch_a > '0' && ch_a <= '9') {
if (map_a.containsKey(ch_a)) {
return false;
}
map_a.put(ch_a,1);
} else if (ch_a != '.') {
return false;
}
}
}
}
}
return true;
}
}