问题描述
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'.'.
问题分析
判断数独是否合法,数独只需要满足每个小的九宫格里面的每一行每一列里1-9只出现一次,直接暴力求解即可。
代码实现
public boolean isValidSudoku(char[][] board) {
if (board == null || board.length != 9 || board[0].length != 9)
return false;
for (int i = 0; i < 9; i++) {
boolean[] map = new boolean[9];
for (int j = 0; j < 9; j++) {
if (board[i][j] != '.') {
if (map[(int) (board[i][j] - '1')]) {
return false;
}
map[(int) (board[i][j] - '1')] = true;
}
}
}
for (int j = 0; j < 9; j++) {
boolean[] map = new boolean[9];
for (int i = 0; i < 9; i++) {
if (board[i][j] != '.') {
if (map[(int) (board[i][j] - '1')]) {
return false;
}
map[(int) (board[i][j] - '1')] = true;
}
}
}
for (int block = 0; block < 9; block++) {
boolean[] map = new boolean[9];
for (int i = block / 3 * 3; i < block / 3 * 3 + 3; i++) {
for (int j = block % 3 * 3; j < block % 3 * 3 + 3; j++) {
if (board[i][j] != '.') {
if (map[(int) (board[i][j] - '1')]) {
return false;
}
map[(int) (board[i][j] - '1')] = true;
}
}
}
}
return true;
}
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