Valid Sudoku
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 '.'.

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" alt="" />

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.

SOLUTION:

使用HashSet 行列,9块分别检查。

 public class Solution {
public boolean isValidSudoku(char[][] board) {
if (board == null || board.length != ||
board[].length != ) {
return false;
} HashSet<Character> set = new HashSet<Character>(); // check the rows.
for (int i = ; i < ; i++) {
// clear the set at every row.
set.clear();
for (int j = ; j < ; j++) {
if (!isValidChar(board[i][j], set)) {
return false;
}
}
} // check the columns.
for (int i = ; i < ; i++) {
// clear the set at every column.
set.clear();
for (int j = ; j < ; j++) {
if (!isValidChar(board[j][i], set)) {
return false;
}
}
} // check the blocks.
for (int i = ; i < ; i+=) {
for (int j = ; j < ; j+=) {
// clear the set at every block.
set.clear();
for (int k = ; k < ; k++) {
if (!isValidChar(board[i + k / ][j + k % ], set)) {
return false;
}
}
}
} return true;
} public boolean isValidChar(char c, HashSet<Character> set) {
if (c == '.') {
return true;
} if (c < '' || c > '') {
return false;
} // Check if the character exit in the hashset.
if (set.contains(c)) {
return false;
} set.add(c); return true;
}
}

2013.1.13 redo:

 public class Solution {
public boolean isValidSudoku(char[][] board) {
// 2:03
if (board == null || board.length == || board[].length == ) {
return false;
} int rows = board.length;
int cols = board[].length; // exam the rows.
for (int i = ; i < rows; i++) {
HashSet<Character> set = new HashSet<Character>();
for (int j = ; j < cols; j++) {
char c = board[i][j];
if (c != '.') {
if (set.contains(c)) {
return false;
}
set.add(c);
}
}
} // exam the cols.
for (int i = ; i < cols; i++) {
HashSet<Character> set = new HashSet<Character>();
for (int j = ; j < rows; j++) {
// bug 1: should use board[j][i]
char c = board[j][i];
if (c != '.') {
if (set.contains(c)) {
return false;
}
set.add(c);
}
}
} // examp the square.
for (int i = ; i < rows; i += ) {
for (int j = ; j < cols; j += ) {
HashSet<Character> set = new HashSet<Character>();
for (int k = ; k < ; k++) {
char c = board[i + k / ][j + k % ];
if (c == '.') {
continue;
} if (set.contains(c)) {
return false;
}
set.add(c);
}
}
} return true;
}
}

主页君的GITHUB:

https://github.com/yuzhangcmu/LeetCode_algorithm/blob/master/hash/IsValidSudoku.java

ref: http://www.ninechapter.com/solutions/valid-sudoku/

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