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LeetCode -- Valid Sudoku

2015-10-05 16:42 211 查看
Question:

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.

Anslysis:

问题描述:判断一个数独游戏是否合法。数独当前可以是部分填充,未填充部分用'.'代替。有效地数独并不是指该游戏是否有解,而仅仅判断当前填充是否有效。

数独有效是指:每一行,每一列,以及每个小得九宫格的当前填充是否有重复数字。

思路:看到题目,分析完成后的直接思路是,分别判断数独的每一行,每一列,每九宫格是否含有相同的数字,如果含有就不是有效地数独。

Answer:

public class Solution {
public boolean isValidSudoku(char[][] board) {
//横向判断
for(int i=0; i<board.length; i++) {
HashSet<Character> v = new HashSet<Character>();
for(int j=0; j<board[i].length; j++) {
if(board[i][j] != '.') {
if(!v.contains(board[i][j]))
v.add(board[i][j]);
else
return false;
}
}
}

//纵向判断
for(int i=0; i<board[0].length; i++) {
HashSet<Character> v = new HashSet<Character>();
for(int j=0; j<board.length; j++) {
if(board[j][i] != '.') {
if(!v.contains(board[j][i]))
v.add(board[j][i]);
else
return false;
}
}
}

//九宫格判断
int i = 0, j = 0;
while(i < board.length) {
j = 0;
while(j < board[0].length) {
HashSet<Character> v = new HashSet<Character>();
for(int t=0; t<3; t++) {
for(int k=0; k<3; k++) {
if(board[i+t][j+k] != '.') {
if(!v.contains(board[i+t][j+k]))
v.add(board[i+t][j+k]);
else
return false;
}
}
}
j = j + 3;
}
i = i + 3;
}
return true;

}
}
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