Leetcode_36_Valid Sudoku

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本文是在学习中的总结，欢迎转载但请注明出处：http://blog.csdn.net/pistolove/article/details/42528601

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 '.'.

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.

思路：

（1）题意为判断一个数独是否有效。

（2）题意不是让我们求解出整个数独（当然，如果真的求解还是很复杂的），而是判断数独中已有数据是否有效。

（3）本文的思路还是暴力破解，因为没有想到其它好的方法。对数独对应的9*9的二维数组进行遍历，对于任意一个不为'.'的数字，都需要对其所在的行、列、以及3*3的块区域进行判断，如果有重复出现的情况，那么数独就是无效的，具体见下方代码。

（4）希望本文对你有所帮助。

算法代码实现如下：

public boolean isValidSudoku(char[][] board) {for (int i = 0; i < board.length; i++) {for (int j = 0; j < board[i].length; j++) {char curr = board[i][j];if(curr=='.'){continue;}//行for (int k = j+1; k < board.length; k++) {if(curr==board[i][k]){return false;}}//列for (int k = i+1; k < board.length; k++) {if(curr==board[k][j]){return false;}}//3*3 方块if(i>=0&&i<3&&j>=0&&j<3){int count=0;for (int k1 = 0; k1 < 3; k1++) {for (int k2 = 0; k2 < 3; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=0&&i<3&&j>=3&&j<6){int count=0;for (int k1 = 0; k1 < 3; k1++) {for (int k2 = 3; k2 < 6; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=0&&i<3&&j>=6&&j<9){int count=0;for (int k1 = 0; k1 < 3; k1++) {for (int k2 = 6; k2 < 9; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=3&&i<6&&j>=0&&j<3){int count=0;for (int k1 = 3; k1 < 6; k1++) {for (int k2 = 0; k2 < 3; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=3&&i<6&&j>=3&&j<6){int count=0;for (int k1 = 3; k1 < 6; k1++) {for (int k2 = 3; k2 < 6; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=3&&i<6&&j>=6&&j<9){int count=0;for (int k1 = 3; k1 < 6; k1++) {for (int k2 = 6; k2 < 9; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=6&&i<9&&j>=0&&j<3){int count=0;for (int k1 = 6; k1 < 9; k1++) {for (int k2 = 0; k2 < 3; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=6&&i<9&&j>=3&&j<6){int count=0;for (int k1 = 6; k1 < 9; k1++) {for (int k2 = 3; k2 < 6; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}if(i>=6&&i<9&&j>=6&&j<9){int count=0;for (int k1 = 6; k1 < 9; k1++) {for (int k2 = 6; k2 < 9; k2++) {if(board[k1][k2]==curr){count++;}if(count>1) return false;}}}}}return true;}

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