algorithm/4.html at main · Orekrigo/algorithm · GitHub

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<!DOCTYPE html>
<html lang="en">

<head>
    <meta charset="UTF-8">
    <meta http-equiv="X-UA-Compatible" content="IE=edge">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>算法实验四</title>
    <style>
        * {
            padding: 0;
            margin: 0;
        }

        body {
            width: 100%;
            height: 100%;
            background-image: url("image/jianyue.jpeg");
            background-size: 100% 100%;
            background-repeat: no-repeat;
            background-attachment: fixed;
        }

        .first-container {
            padding-left: 400px;
            padding-top: 200px;
            font-size: large;
        }

        .first-container input {
            margin-bottom: 20px;
            border-radius: 5px;
            font-size: 30px;
        }

        .first-container div {
            color: white;
            font-size: 25px;
            border-bottom: 1px solid blue;
        }

        .first-container button {
            font-size: 25px;
            border-radius: 5px;
            background-color: green;
            cursor: pointer;
        }

        .second-container {
            padding-left: 400px;
            padding-top: 200px;
            font-size: large;
            clear: both;
        }

        .second-container input {
            margin-bottom: 20px;
            border-radius: 5px;
            font-size: 30px;
        }

        .second-container div {
            color: white;
            font-size: 25px;
            border-bottom: 1px solid blue;
        }

        .second-container button {
            font-size: 25px;
            border-radius: 5px;
            background-color: green;
            cursor: pointer;
        }

        .second-container #ccc {
            padding-left: 20px;
        }

        table {
            border-collapse: collapse;
            margin: 30px;
            float: left;
        }

        th,
        td {
            padding: 10px;
            border: 1px solid yellowgreen;
            text-align: center;
        }
    </style>
</head>

<body>
    <div class="container">
        <div class="first-container">
            <input id="firstnum1" type="text" placeholder="请在这里输入皇后数量n">
            <button onclick="firstclick()">确定</button>
            <div>可行解数量：<span id="res1"></span>
            </div>
            <div>
                <div id="res2"></div>
            </div>
        </div>
        <div class="second-container">
            <input id="secondnum1" type="text" placeholder="请在这里输入S集合">
            <input id="secondnum2" type="text" placeholder="请在这里输入M">
            <button onclick="secondclick()">确定</button>
            <div>可行解：<div id="res3"></div>
            </div>
        </div>
    </div>
    <script>
        var FFF = new Set();
        const solveNQueens = (n) => {
            const board = new Array(n);
            for (let i = 0; i < n; i++) {
                board[i] = new Array(n).fill(' ');
            }

            const cols = new Set();  // 列集，记录出现过皇后的列
            const diag1 = new Set(); // 正对角线集
            const diag2 = new Set(); // 反对角线集
            const res = [];

            const helper = (row) => {
                if (row == n) {
                    const stringsBoard = board.slice();
                    for (let i = 0; i < n; i++) {
                        stringsBoard[i] = stringsBoard[i].join('');
                    }
                    res.push(stringsBoard);
                    return;
                }
                for (let col = 0; col < n; col++) {
                    // 如果当前点的所在的列，所在的对角线都没有皇后，即可选择，否则，跳过
                    if (!cols.has(col) && !diag1.has(row + col) && !diag2.has(row - col)) {
                        board[row][col] = 'Q';  // 放置皇后
                        cols.add(col);          // 记录放了皇后的列
                        diag2.add(row - col);   // 记录放了皇后的正对角线
                        diag1.add(row + col);   // 记录放了皇后的负对角线
                        helper(row + 1);
                        board[row][col] = ' ';  // 撤销该点的皇后
                        cols.delete(col);       // 对应的记录也删一下
                        diag2.delete(row - col);
                        diag1.delete(row + col);
                    }
                }
            };
            helper(0);
            return res;
        };
        function firstclick() {
            var res1 = document.getElementById('res1');
            var res2 = document.getElementById('res2');
            var num1 = document.getElementById('firstnum1');
            num1 = parseInt(num1.value);
            var result1 = solveNQueens(num1);
            res1.innerText = result1.length;
            let table = [];
            for (let i = 0; i < result1.length; i++) {
                for (let j = 0; j < result1[0].length; j++) {
                    result1[i][j] = result1[i][j].split('');
                }
            }
            for (let i = 0; i < result1.length; i++) {
                table[i] = document.createElement('table');
                let tr = [];
                for (let j = 0; j < result1[i].length; j++) {
                    tr[j] = document.createElement('tr');
                    let td = [];
                    let ccc;
                    let vvv = 'Q'
                    for (let k in result1[i][j]) {
                        td[k] = document.createElement('td');
                        for(let p in result1[i][j]){
                            if(result1[i][j][p] === vvv){
                                ccc = p;
                            }
                        }
                        td[k].innerHTML = `${result1[i][j][k]}`
                        td[k+1] = ccc;
                        tr[j].appendChild(td[k]);
                    }
                    table[i].appendChild(tr[j]);
                }
                res2.appendChild(table[i]);
            }
        }

        var subsets = function (nums) {
            const t = [];
            const ans = [];
            const n = nums.length;
            const dfs = (cur) => {
                if (cur === nums.length) {
                    ans.push(t.slice());
                    return;
                }
                t.push(nums[cur]);
                dfs(cur + 1, nums);
                t.pop(t.length - 1);
                dfs(cur + 1, nums);
            }
            dfs(0, nums);
            return ans;
        };
        var final = [];
        var mark = 0;
        function judge(nums, M) {
            var a = subsets(nums);
            a.forEach(element => {
                let sum = 0;
                element.forEach(element => {
                    sum += element;
                });
                if (sum == M) {
                    final.push(element);
                    mark = 1;
                }
            });
        }
        function secondclick() {
            var res3 = document.getElementById('res3');
            var num1 = document.getElementById('secondnum1');
            var num2 = document.getElementById('secondnum2');
            num2 = parseInt(num2.value);
            num1 = num1.value;
            num1 = num1.split(" ");
            nums1 = [];
            for (let i = 0; i < num1.length; i++) {
                nums1.push(parseInt(num1[i]));
            }
            judge(nums1, num2);
            if (mark) {
                final.forEach(element => {
                    res3.innerText += `
                                    ${element}`
                });
            }
            else{
                res3.innerText = "无解"
            }
        }

    </script>
</body>

</html>