小知识,大挑战!本文正在参与“程序员必备小知识”创作活动。
题目
请你判断一个 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。(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。
注意:
- 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。
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:**true
示例 2:
输入: board = [["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。
提示:
board.length == 9board[i].length == 9board[i][j]是一位数字或者'.'
解题思路
利用map进行查重,
key:"i"i && "j"j && "Math.floor(i / 3),Math.floor(j / 3)"
代码
/**
* @param {character[][]} board
* @return {boolean}
*/
var isValidSudoku = function(board) {
let map = new Map();
for(let i=0;i<board.length;i++){
for(let j=0;j<board[i].length;j++){
const l = Math.floor(i / 3),
r = Math.floor(j / 3);
if(!map.has(`i${i}`))
map.set(`i${i}`,[]);
if(!map.has(`j${j}`))
map.set(`j${j}`,[])
if(!map.has(`${l}${r}`))
map.set(`${l}${r}`,[]);
if(!isNaN(Number(board[i][j]))){
const num = Number(board[i][j]);
if(map.get(`${l}${r}`).indexOf(board[i][j]) < 0)
map.set(`${l}${r}`,[...map.get(`${l}${r}`),board[i][j]]);
else return false;
if(map.get(`i${i}`).indexOf(board[i][j]) < 0)
map.set(`i${i}`,[...map.get(`i${i}`),board[i][j]]);
else return false;
if(map.get(`j${j}`).indexOf(board[i][j]) < 0)
map.set(`j${j}`,[...map.get(`j${j}`),board[i][j]]);
else return false;
}
}
}
return true;
};
最后
曾梦想仗剑走天涯
看一看世界的繁华
年少的心总有些轻狂
终究不过是个普通人
无怨无悔我走我路