197 lines
7.8 KiB
HTML
197 lines
7.8 KiB
HTML
<!DOCTYPE html>
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<html lang="zh-Hans">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>089. 分割等和子集 – 图解</title>
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<link rel="stylesheet" href="../shared/style.css">
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<style>
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/* page-specific overrides */
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.vis-area { min-height: 120px; padding: 16px 0; }
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.code-section { margin-top: 16px; }
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</style>
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</head>
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<body>
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<div class="container">
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<h1>🟡 089. 分割等和子集 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：动态规划 ｜ LeetCode Hot 100</p>
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<!-- 控制面板 -->
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<div class="controls" id="controls">
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<label for="inputArea">输入：</label>
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<input type="text" id="inputArea" placeholder="默认示例，可自定义">
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<button id="applyBtn" class="primary">生成图解</button>
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<select id="exampleSelect"></select>
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<span style="flex:1"></span>
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<button id="prevBtn">◀ 上一步</button>
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<button id="nextBtn">下一步 ▶</button>
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<button id="jumpBtn">⏭ 跳到结果</button>
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<button id="autoBtn">自动播放</button>
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<button id="resetBtn">重置</button>
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</div>
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<!-- 步骤流水线 -->
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<div class="pipeline" id="pipeline"></div>
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<!-- 提示条 -->
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<div class="hint info" id="hintBox">
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<span id="stepInfo"></span><br>
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<span id="hintText"></span>
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</div>
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<!-- 可视化面板 -->
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<div class="panels">
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<div class="panel" id="mainPanel">
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<h3>📊 可视化</h3>
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<div class="vis-area" id="vizArea">点击「生成图解」开始</div>
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</div>
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<div class="panel-grid">
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<div class="panel" id="detailPanel">
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<h3>📝 当前步骤详情</h3>
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<div id="detailContent">等待开始...</div>
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</div>
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<div class="panel" id="resultPanel">
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<h3>✅ 结果</h3>
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<div id="resultContent">等待完成...</div>
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</div>
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</div>
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</div>
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<!-- 代码 -->
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<div class="panel code-section">
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<h3>💻 参考代码（Python）</h3>
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<div id="codeArea"></div>
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</div>
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<footer>Powered by QwenPaw · 图解算法 · LeetCode Hot 100</footer>
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</div>
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<script src="../shared/algo-viz.js"></script>
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<script>
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"use strict";
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(function() {
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// ========== Algorithm Logic ==========
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const examples = [
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{input: [1,5,11,5], label: '示例1: [1,5,11,5]'},
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{input: [1,2,3,5], label: '示例2: [1,2,3,5]'},
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{input: [1,1], label: '示例3: [1,1]'},
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];
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let nums, steps, stepCtrl, target;
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function buildSteps(arr) {
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nums = [...arr]; steps = [];
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const sum = arr.reduce((a,b) => a + b, 0);
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if (sum % 2 !== 0) {
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target = 0;
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steps.push({stage:'done', msg:`总和=${sum}为奇数，无法等分`, dp:null, target:0, itemIdx:-1, curJ:-1});
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return;
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}
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target = sum / 2;
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const n = arr.length;
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const dp = new Array(target + 1).fill(false);
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dp[0] = true;
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steps.push({stage:'init', msg:`总和=${sum}，目标=${target}，0-1背包：每件物品选或不选`, dp:[...dp], target, itemIdx:-1, curJ:-1});
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for (let i = 0; i < n; i++) {
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steps.push({stage:'item', msg:`考虑物品 ${i}：nums[${i}]=${arr[i]}`, dp:[...dp], target, itemIdx:i, curJ:-1});
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for (let j = target; j >= arr[i]; j--) {
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if (dp[j - arr[i]] && !dp[j]) {
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dp[j] = true;
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steps.push({stage:'fill', msg:`dp[${j}] = dp[${j}-${arr[i]}] = dp[${j-arr[i]}] = true → dp[${j}]=true`, dp:[...dp], target, itemIdx:i, curJ:j});
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}
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}
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if (dp[target]) {
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steps.push({stage:'done', msg:`已找到和为 ${target} 的子集，可以等分！`, dp:[...dp], target, itemIdx:i, curJ:target});
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return;
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}
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}
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steps.push({stage:'done', msg:`无法找到和为 ${target} 的子集`, dp:[...dp], target, itemIdx:-1, curJ:-1});
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}
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function render(step) {
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const s = steps[step];
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if (!s.dp) {
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$('vizArea').innerHTML = '<div class="formula-box">总和为奇数，直接返回 false</div>';
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$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
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$('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分</div>';
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$('hintText').textContent = s.msg;
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$('pipeline').innerHTML = '<span class="pipe-step active">完成</span>';
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return;
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}
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let viz = '<div style="margin-top:8px;"><b>物品：</b></div>';
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viz += '<div style="display:flex;gap:4px;margin:4px 0;">';
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nums.forEach((v, i) => {
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const cls = i === s.itemIdx ? 'orange' : (i < s.itemIdx || s.stage==='done' ? 'green' : 'default');
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viz += `<span class="chip ${cls}" style="min-width:36px;">${v}</span>`;
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});
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viz += '</div>';
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viz += `<div style="margin-top:8px;"><b>dp 表（容量 0~${s.target}）：</b></div>`;
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viz += '<div style="display:flex;flex-wrap:wrap;gap:3px;margin:4px 0;">';
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for (let j = 0; j <= s.target; j++) {
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let cls = s.dp[j] ? 'green' : 'default';
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if (j === s.curJ) cls = 'orange';
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viz += `<span class="chip-group"><span class="chip ${cls}" style="min-width:28px;font-size:12px;height:26px;">${s.dp[j]?'T':'F'}</span><span class="chip-index">${j}</span></span>`;
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}
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viz += '</div>';
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
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if (s.dp[s.target]) {
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$('detailContent').innerHTML += `<div class="current-answer">dp[${s.target}] = <b>true</b></div>`;
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}
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if (s.stage === 'done') {
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if (s.dp && s.dp[s.target]) {
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$('resultContent').innerHTML = `<div class="final-answer">可以等分为两个子集，和各为 <b>${s.target}</b> ✅</div>`;
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} else {
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$('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分 ❌</div>';
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}
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}
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$('hintText').textContent = s.msg;
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const stages = ['init→初始化','item→物品','fill→填充','done→完成'];
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$('pipeline').innerHTML = stages.map(st => {
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const [k,l] = st.split('→');
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return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
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}).join('<i>→</i>');
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}
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function init() {
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const sel = $('exampleSelect');
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examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
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$('inputArea').value = '[1,5,11,5]';
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buildSteps(examples[0].input);
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stepCtrl = new StepController({onStep: render});
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stepCtrl.setSteps(steps.map((_,i)=>i));
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$('stepInfo').textContent = '步骤 1 / ' + steps.length;
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stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
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$('applyBtn').onclick = () => {
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try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
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catch(e) { alert('请输入合法 JSON 数组'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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$('inputArea').value = JSON.stringify(e.input);
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buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('prevBtn').onclick = () => stepCtrl.prev();
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$('nextBtn').onclick = () => stepCtrl.next();
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$('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
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$('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂停' : '自动播放'; };
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$('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
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}
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init();
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$('codeArea').innerHTML = renderCode(`def canPartition(nums):
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total = sum(nums)
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if total % 2: return False
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target = total // 2
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dp = [False] * (target + 1)
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dp[0] = True
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for num in nums:
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for j in range(target, num - 1, -1):
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dp[j] = dp[j] or dp[j - num]
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if dp[target]: return True
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return dp[target]`, {lang:'Python'});
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})();
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</script>
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</body>
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</html> |