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 '.'. Below is a partially filled sudoku which is valid.
Each column must have the numbers 1-9 occuring just once.
Each row must have the numbers 1-9 occuring just once.
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And the numbers 1-9 must occur just once in each of the 9 sub-boxes of the grid.
- With three passes
public boolean isValidSudoku(char[][] board) {
HashSet<Character> set = new HashSet<Character>();
// Check for each row
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
if (board[i][j] == '.')
continue;
if (set.contains(board[i][j]))
return false;
set.add(board[i][j]);
}
set.clear();
}
// Check for each column
for (int j = 0; j < 9; j++) {
for (int i = 0; i < 9; i++) {
if (board[i][j] == '.')
continue;
if (set.contains(board[i][j]))
return false;
set.add(board[i][j]);
}
set.clear();
}
// Check for each sub-grid
for (int k = 0; k < 9; k++) {
for (int i = k/3*3; i < k/3*3+3; i++) {
for (int j = (k%3)*3; j < (k%3)*3+3; j++) {
if (board[i][j] == '.')
continue;
if (set.contains(board[i][j]))
return false;
set.add(board[i][j]);
}
}
set.clear();
}
return true;
}
Code from http://xixiaogualu.blogspot.com/2013/09/leetcode-valid-sudoku.htmlpublic boolean isValidSudoku(char[][] board) {for(int i=0;i<9;i++){ //check rowsboolean[] checker=new boolean[10];for(int k=1;k<10;k++)checker[k]=false;for(int j=0;j<9;j++){char c=board[i][j];//System.out.println(c-'0');if(c=='.')continue;else if(checker[c-'0'])return false;elsechecker[c-'0']=true;}}for(int i=0;i<9;i++){ //check rowsboolean[] checker=new boolean[10];for(int k=1;k<10;k++)checker[k]=false;for(int j=0;j<9;j++){char c=board[j][i];if(c=='.')continue;else if(checker[c-'0'])return false;elsechecker[c-'0']=true;}}for(int i=0;i<9;i+=3) //check 9-subfor(int j=0;j<9;j+=3){boolean[] checker=new boolean[10];for(int k=1;k<10;k++)checker[k]=false;for(int m=0;m<3;m++)for(int n=0;n<3;n++){char c=board[i+m][j+n];if(c=='.')continue;else if(checker[c-'0'])return false;elsechecker[c-'0']=true;}}return true;}
- With one pass
public boolean isValidSudoku(char[][] board) {
// rowChecker[i][j]=true: j appears in row i
boolean[][] rowChecker = new boolean[9][9];
// columnChecker[i][j]=true: j appears in column i
boolean[][] columnChecker = new boolean[9][9];
// gridChecker[i][j]=true: j appears in grid i
// numberring from left to right, then top to bottom
boolean[][] gridChecker = new boolean[9][9];
// One-pass scan in row-major manner
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
if (board[i][j] == '.')
continue;
int val = board[i][j] - '1';
// Check for the corresponding row, column, and grid at the same time
if (rowChecker[i][val] || columnChecker[j][val] || gridChecker[i/3*3+j/3][val])
return false;
rowChecker[i][val] = columnChecker[j][val] = gridChecker[i/3*3+j/3][val] = true;
}
}
return true;
}
Read full article from LeetCode - Valid Sudoku | Darren's Blog
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