#yyds干货盘点# leetcode算法题:解数独
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题目:
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。
示例 1:
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"]]
代码实现:
class Solution
private boolean[][] line = new boolean[9][9];
private boolean[][] column = new boolean[9][9];
private boolean[][][] block = new boolean[3][3][9];
private boolean valid = false;
private List<int[]> spaces = new ArrayList<int[]>();
public void solveSudoku(char[][] board)
for (int i = 0; i < 9; ++i)
for (int j = 0; j < 9; ++j)
if (board[i][j] == .)
spaces.add(new int[]i, j);
else
int digit = board[i][j] - 0 - 1;
line[i][digit] = column[j][digit] = block[i / 3][j / 3][digit] = true;
dfs(board, 0);
public void dfs(char[][] board, int pos)
if (pos == spaces.size())
valid = true;
return;
int[] space = spaces.get(pos);
int i = space[0], j = space[1];
for (int digit = 0; digit < 9 && !valid; ++digit)
if (!line[i][digit] && !column[j][digit] && !block[i / 3][j / 3][digit])
line[i][digit] = column[j][digit] = block[i / 3][j / 3][digit] = true;
board[i][j] = (char) (digit + 0 + 1);
dfs(board, pos + 1);
line[i][digit] = column[j][digit] = block[i / 3][j / 3][digit] = false;
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