判断一个 9x9 的数独是否有效。只需要根据以下规则,验证已经填入的数字是否有效即可。
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。
上图是一个部分填充的有效的数独。
数独部分空格内已填入了数字,空白格用 '.' 表示。
示例 1:
输入:
[
["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: true
示例 2:
输入:
[
["8","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: false
解释: 除了第一行的第一个数字从 5 改为 8 以外,空格内其他数字均与 示例1 相同。
但由于位于左上角的 3x3 宫内有两个 8 存在, 因此这个数独是无效的。
说明:
一个有效的数独(部分已被填充)不一定是可解的。
只需要根据以上规则,验证已经填入的数字是否有效即可。
给定数独序列只包含数字 1-9 和字符 '.' 。
给定数独永远是 9x9 形式的。
代码
/**
* @param {character[][]} board
* @return {boolean}
*/
var isValidSudoku = function(board) {
let rows = {};
let ranks = {};
let react = {};
let result = true;
for(let n=0;n<board.length;n++){
for(let m=0;m<board[n].length;m++){
let value = board[n][m]
if(value != '.'){
if(!rows[n]){
rows[n] ={}
}
if(!ranks[m]){
ranks[m]={}
}
//条件一
if(!rows[n][value]){
rows[n][value] = true
}else{
result = false;
}
//条件二
if(!ranks[m][value]){
ranks[m][value] = true;
}else{
result = false;
}
//条件三
let rowsN = Math.ceil((n+1)/3);
let ranksM = Math.ceil((m+1)/3);
if(!react[rowsN]){
react[rowsN] = {}
}
if( !react[rowsN][ranksM] ){
react[rowsN][ranksM] = {}
}
if(!react[rowsN][ranksM][value]){
react[rowsN][ranksM][value] = true
}else{
result = false;
}
}
}
}
return result
};
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