JS实现判断有效的数独算法示例
作者:gqj.cn 时间:2024-02-25 08:22:15
本文实例讲述了JS实现判断有效的数独算法。分享给大家供大家参考,具体如下:
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。
1.数字 1-9 在每一行只能出现一次。
2.数字 1-9 在每一列只能出现一次。
3.数字 1-9 在每一个以粗实线分隔的 3x3 宫内只能出现一次。
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:
1.一个有效的数独(部分已被填充)不一定是可解的。
2.只需要根据以上规则,验证已经填入的数字是否有效即可。
3.给定数独序列只包含数字 1-9 和字符 ‘.' 。
4.给定数独永远是 9x9 形式的。
<script>
var isValidSudoku = function(board) {
const boxes = [{}, {}, {}, {}, {}, {}, {}, {}, {}];
const cols = [{}, {}, {}, {}, {}, {}, {}, {}, {}];
const rows = [{}, {}, {}, {}, {}, {}, {}, {}, {}];
let test = [{}, {}, {}, {}, {}, {}, {}, {}, {}];
for (let i = 0; i < 9; i++) {
for (let j = 0; j < 9; j++) {
const digit = board[i][j];
if (digit !== '.') {
const k = Math.floor(j / 3) + (Math.floor(i / 3) * 3);
if (boxes[k][digit] || cols[j][digit] || rows[i][digit]) {
return false;
}
boxes[k][digit] = cols[j][digit] = rows[i][digit] = true;
}
}
}
return true;
};
const 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"]
]
console.log(isValidSudoku(board))
</script>
测试上述代码,可得如下运行结果:
希望本文所述对大家JavaScript程序设计有所帮助。
来源:https://blog.csdn.net/a419419/article/details/85048924
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