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>
使用在线HTML/CSS/JavaScript代码运行工具:http://tools.jb51.net/code/HtmlJsRun测试上述代码,可得如下运行结果:
更多关于JavaScript相关内容感兴趣的读者可查看本站专题:《JavaScript数学运算用法总结》、《JavaScript数据结构与算法技巧总结》、《JavaScript数组操作技巧总结》、《JavaScript排序算法总结》、《JavaScript遍历算法与技巧总结》、《JavaScript查找算法技巧总结》及《JavaScript错误与调试技巧总结》
希望本文所述对大家JavaScript程序设计有所帮助。
JS,数独,算法
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