编写一个程序,通过填充空格来解决数独问题。
数独的解法需 遵循如下规则:
数字 1-9 在每一行只能出现一次。 数字 1-9 在每一列只能出现一次。 数字 1-9 在每一个以粗实线分隔的 3x3 宫内只能出现一次。(请参考示例图)
数独部分空格内已填入了数字,空白格用 '.' 表示。
链接:https://leetcode-cn.com/problems/sudoku-solver
输入:board = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]]
输出:[["5","3","4","6","7","8","9","1","2"],["6","7","2","1","9","5","3","4","8"],["1","9","8","3","4","2","5","6","7"],["8","5","9","7","6","1","4","2","3"],["4","2","6","8","5","3","7","9","1"],["7","1","3","9","2","4","8","5","6"],["9","6","1","5","3","7","2","8","4"],["2","8","7","4","1","9","6","3","5"],["3","4","5","2","8","6","1","7","9"]]
解释:输入的数独如上图所示,唯一有效的解决方案如下所示:
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/sudoku-solver
public void solveSudoku(char[][] board) { dfs(board); } public boolean dfs(char[][] board) { for(int i=0;i<9;i++) { for(int j=0;j<9;j++) { if(board[i][j]=='.') { for(int k=1;k<=9;k++) { if(smalldepend(i,j,board,(char)(k+'0'))) { board[i][j] = (char) ('0' + k); if(dfs(board)) return true; board[i][j] = '.'; } } return false; } } } return true; } public boolean smalldepend(int x,int y,char[][] board,char data) { int startx=(int)(x/3)*3; int starty=(int)(y/3)*3; for(int i=startx;i<startx+3;i++) { for(int j=starty;j<starty+3;j++) { if(board[i][j]==data) return false; } } for(int i=0;i<9;i++) { if(board[x][i]==data)return false; if(board[i][y]==data)return false; } return true; } public static void main(String[] args) { char[][] board=new char[][]{ {'5','3','.','.','7','.','.','.','.'}, {'6','.','.','1','9','5','.','.','.'}, {'.','9','8','.','.','.','.','6','.'}, {'8','.','.','.','6','.','.','.','3'}, {'4','.','.','8','.','3','.','.','1'}, {'7','.','.','.','2','.','.','.','6'}, {'.','6','.','.','.','.','2','8','.'}, {'.','.','.','4','1','9','.','.','5'}, {'.','.','.','.','8','.','.','7','9'} }; new seqecStack().solveSudoku(board); for(int i=0;i<9;i++) { for(int j=0;j<9;j++) { System.out.print(board[i][j]); } System.out.println(); } }