illustrated-algorithm/__pycache__/dp_algos.cpython-311.pyc

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  const examples = [
    {input: 5, label: '示例1: n=5'},
    {input: 3, label: '示例2: n=3'},
    {input: 10, label: '示例3: n=10'},
  ];
  let steps, stepCtrl, n;

  function buildSteps(total) {
    n = total; steps = [];
    const dp = new Array(n + 1).fill(0);
    dp[0] = 0; dp[1] = 1; dp[2] = 2;
    steps.push({stage:'init', msg:'�始化：dp[1]=1（1�），dp[2]=2（2�）', dp:[...dp], current:-1, from1:-1, from2:-1});
    for (let i = 3; i <= n; i++) {
      steps.push({stage:'calc', msg:`计算 dp[${i}] = dp[${i-1}] + dp[${i-2}] = ${dp[i-1]} + ${dp[i-2]} = ${dp[i-1]+dp[i-2]}`, dp:[...dp], current:i, from1:i-1, from2:i-2});
      dp[i] = dp[i-1] + dp[i-2];
      steps.push({stage:'fill', msg:`dp[${i}] = ${dp[i]}，已填充`, dp:[...dp], current:i, from1:i-1, from2:i-2});
    }
    steps.push({stage:'done', msg:`结果：爬到第 ${n} 阶有 ${dp[n]} �方法`, dp:[...dp], current:n, from1:-1, from2:-1});
  }

  function render(step) {
    const s = steps[step];
    let viz = '<div style="display:flex;align-items:flex-end;gap:3px;margin:12px 0 8px;">';
    for (let i = 1; i <= n; i++) {
      const filled = s.dp[i] > 0;
      const isCurrent = i === s.current;
      const isFrom1 = i === s.from1;
      const isFrom2 = i === s.from2;
      let bg = '#e2e8f0', color = '#64748b';
      if (isCurrent && (s.stage==='fill'||s.stage==='done')) { bg = 'var(--green)'; color = 'white'; }
      else if (isCurrent) { bg = 'var(--orange)'; color = 'white'; }
      else if (isFrom1) { bg = '#dbeafe'; color = '#1e40af'; }
      else if (isFrom2) { bg = '#ede9fe'; color = '#5b21b6'; }
      else if (filled) { bg = '#f0fdf4'; color = '#166534'; }
      viz += `<div style="width:42px;height:${36+i*6}px;background:${bg};border-radius:6px 6px 0 0;display:flex;flex-direction:column;align-items:center;justify-content:flex-end;padding:4px 0;font-size:11px;font-weight:600;color:${color};transition:all 0.3s;">
        <span style="font-size:13px;">${s.dp[i]||''}</span><span style="font-size:9px;opacity:0.7;">${i}</span></div>`;
    }
    viz += '</div>';
    viz += '<div style="margin-top:12px;"><b>dp 表：</b></div>';
    const dpHl = {};
    if (s.current > 0) dpHl[s.current-1] = s.stage==='fill'?'green':'orange';
    if (s.from1 > 0) dpHl[s.from1-1] = 'blue';
    if (s.from2 > 0) dpHl[s.from2-1] = 'purple';
    viz += renderArray(s.dp.slice(1), {highlights: dpHl});
    if (s.stage === 'calc') {
      viz += `<div class="formula-box" style="margin-top:8px;">dp[${s.current}] = dp[${s.from1}] + dp[${s.from2}] = ${s.dp[s.from1]} + ${s.dp[s.from2]}</div>`;
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.stage !== 'done' && s.current > 0) {
      $('detailContent').innerHTML += `<div class="current-answer">dp[${s.current}] = <b>${s.dp[s.current]}</b></div>`;
    }
    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">爬到第 ${n} 阶有 <b>${s.dp[n]}</b> �方法</div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','calc→递推计算','fill→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = 'n=5';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/n=(\d+)/);
      if (!m) { alert('格�: n=5'); return; }
      buildSteps(parseInt(m[1]));
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `n=${e.input}`;
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def climbStairs(n):
    if n <= 2: return n
    dp = [0] * (n + 1)
    dp[1], dp[2] = 1, 2
    for i in range(3, n + 1):
        dp[i] = dp[i-1] + dp[i-2]
    return dp[n]`, {lang:'Python'});
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  const examples = [
    {input: 5, label: '示例1: numRows=5'},
    {input: 1, label: '示例2: numRows=1'},
    {input: 7, label: '示例3: numRows=7'},
  ];
  let steps, stepCtrl, numRows;

  function buildSteps(n) {
    numRows = n; steps = [];
    const triangle = [];
    steps.push({stage:'init', msg:'开始生��辉三角，�行首尾为1，中间元素 = 上方两数之和', triangle:[], row:-1, col:-1});
    for (let i = 0; i < numRows; i++) {
      const row = new Array(i + 1).fill(1);
      steps.push({stage:'newRow', msg:`第 ${i} 行共 ${i+1} 个元素，首尾�为 1`, triangle:JSON.parse(JSON.stringify(triangle)), row:i, col:-1});
      for (let j = 1; j < i; j++) {
        row[j] = triangle[i-1][j-1] + triangle[i-1][j];
        steps.push({stage:'calc', msg:`triangle[${i}][${j}] = triangle[${i-1}][${j-1}] + triangle[${i-1}][${j}] = ${triangle[i-1][j-1]} + ${triangle[i-1][j]} = ${row[j]}`, triangle:JSON.parse(JSON.stringify(triangle)), row:i, col:j});
      }
      triangle.push([...row]);
      steps.push({stage:'fillRow', msg:`第 ${i} 行填充完毕：[${row.join(', ')}]`, triangle:JSON.parse(JSON.stringify(triangle)), row:i, col:i});
    }
    steps.push({stage:'done', msg:`�辉三角生�完毕，共 ${numRows} 行`, triangle:JSON.parse(JSON.stringify(triangle)), row:-1, col:-1});
  }

  function render(step) {
    const s = steps[step];
    let viz = '<div style="display:flex;flex-direction:column;align-items:center;gap:4px;padding:12px 0;">';
    const maxRow = s.triangle.length;
    for (let i = 0; i < maxRow; i++) {
      const gap = Math.max(2, (maxRow - i) * 6);
      viz += `<div style="display:flex;gap:${gap}px;justify-content:center;">`;
      for (let j = 0; j <= i; j++) {
        const val = s.triangle[i][j];
        let cls = 'default';
        if (i === s.row && s.stage !== 'done') {
          cls = j === s.col ? 'orange' : 'green';
        }
        if (s.stage === 'calc' && i === s.row - 1 && (j === s.col - 1 || j === s.col)) {
          cls = 'blue';
        }
        viz += `<span class="chip ${cls}" style="min-width:32px;height:28px;font-size:13px;">${val}</span>`;
      }
      viz += '</div>';
    }
    if (s.stage === 'newRow' || s.stage === 'calc') {
      viz += `<div style="display:flex;gap:2px;justify-content:center;margin-top:2px;">`;
      for (let j = 0; j <= s.row; j++) {
        viz += `<span style="min-width:32px;height:28px;border:2px dashed var(--orange);border-radius:10px;display:flex;align-items:center;justify-content:center;font-size:13px;color:var(--text-muted);">?</span>`;
      }
      viz += '</div>';
    }
    viz += '</div>';
    $('vizArea').innerHTML = viz;

    let detail = '<div class="calc-block">' + s.msg + '</div>';
    if (s.triangle.length > 0) {
      detail += '<div style="margin-top:8px;"><b>当�三角：</b></div>';
      s.triangle.forEach((row, i) => {
        detail += `<div style="margin:2px 0;"><code>${i}: [${row.join(', ')}]</code></div>`;
      });
    }
    $('detailContent').innerHTML = detail;

    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">�辉三角 <b>${numRows}</b> 行已生�</div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→开始','newRow→新行','calc→计算','fillRow→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = 'numRows=5';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/numRows=(\d+)/);
      if (!m) { alert('格�: numRows=5'); return; }
      buildSteps(parseInt(m[1]));
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `numRows=${e.input}`;
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def generate(numRows):
    triangle = []
    for i in range(numRows):
        row = [1] * (i + 1)
        for j in range(1, i):
            row[j] = triangle[i-1][j-1] + triangle[i-1][j]
        triangle.append(row)
    return triangle`, {lang:'Python'});
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  const examples = [
    {input: [1,2,3,1], label: '示例1: [1,2,3,1]'},
    {input: [2,7,9,3,1], label: '示例2: [2,7,9,3,1]'},
    {input: [2,1,1,2], label: '示例3: [2,1,1,2]'},
  ];
  let nums, steps, stepCtrl;

  function buildSteps(arr) {
    nums = [...arr]; steps = [];
    const n = nums.length;
    if (n === 0) { steps.push({stage:'done', msg:'数组为空', dp:[], rob:[]}); return; }
    const dp = new Array(n).fill(0);
    const rob = new Array(n).fill(false);
    dp[0] = nums[0]; rob[0] = true;
    steps.push({stage:'init', msg:`dp[0] = ${nums[0]}（�有一间房�，必须�）`, dp:[...dp], rob:[...rob], current:0, choice:null});
    if (n > 1) {
      if (nums[1] > nums[0]) { dp[1] = nums[1]; rob[1] = true; rob[0] = false; }
      else { dp[1] = nums[0]; rob[1] = false; }
      steps.push({stage:'init2', msg:`dp[1] = max(${nums[0]}, ${nums[1]}) = ${dp[1]}`, dp:[...dp], rob:[...rob], current:1, choice:'max'});
    }
    for (let i = 2; i < n; i++) {
      const notRob = dp[i-1];
      const doRob = dp[i-2] + nums[i];
      steps.push({stage:'compare', msg:`dp[${i}]：�� = dp[${i-1}] = ${notRob}，� = dp[${i-2}] + nums[${i}] = ${dp[i-2]} + ${nums[i]} = ${doRob}`, dp:[...dp], rob:[...rob], current:i, choice:'comparing', notRob, doRob});
      if (doRob > notRob) {
        dp[i] = doRob; rob[i] = true;
        steps.push({stage:'rob', msg:`�第 ${i} 间更优：dp[${i}] = ${doRob}`, dp:[...dp], rob:[...rob], current:i, choice:'rob'});
      } else {
        dp[i] = notRob; rob[i] = false;
        steps.push({stage:'skip', msg:`��第 ${i} 间更优：dp[${i}] = ${notRob}`, dp:[...dp], rob:[...rob], current:i, choice:'skip'});
      }
    }
    steps.push({stage:'done', msg:`最多�以�� ${dp[n-1]}`, dp:[...dp], rob:[...rob], current:n-1, choice:'done'});
  }

  function render(step) {
    const s = steps[step];
    let viz = '<div style="display:flex;gap:6px;margin:8px 0;">';
    nums.forEach((v, i) => {
      const isCurrent = i === s.current && s.stage !== 'done';
      const isRobbed = s.rob[i];
      let bg = '#e2e8f0', color = '#475569', border = '2px solid #cbd5e1';
      if (isRobbed && s.stage === 'done') { bg = '#dcfce7'; color = '#166534'; border = '2px solid #16a34a'; }
      else if (isCurrent && s.choice === 'rob') { bg = '#fef3c7'; color = '#92400e'; border = '2px solid #f59e0b'; }
      else if (isCurrent) { bg = '#dbeafe'; color = '#1e40af'; border = '2px solid #3b82f6'; }
      else if (isRobbed) { bg = '#dcfce7'; color = '#166534'; border = '2px solid #86efac'; }
      viz += `<div style="width:56px;padding:8px 4px;background:${bg};border:${border};border-radius:10px;text-align:center;font-size:13px;font-weight:600;color:${color};transition:all 0.3s;">
        <div style="font-size:16px;margin-bottom:2px;">�</div>
        <div>${v}</div>
        <div style="font-size:10px;color:${isRobbed?'#16a34a':'#94a3b8'};">${isRobbed?'�':'·'}</div>
      </div>`;
    });
    viz += '</div>';
    viz += '<div style="margin-top:12px;"><b>dp 值：</b></div>';
    const dpHl = {};
    if (s.current >= 0) dpHl[s.current] = s.choice==='rob'?'orange':'blue';
    viz += renderArray(s.dp, {highlights: dpHl});
    if (s.stage === 'compare') {
      viz += `<div class="formula-box" style="margin-top:8px;">dp[${s.current}] = max(��=${s.notRob}, �=${s.doRob})</div>`;
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.dp.length > 0) {
      $('detailContent').innerHTML += `<div class="current-answer">当�最大金�：<b>${s.dp[Math.max(0,s.current)]}</b></div>`;
    }
    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">最多�以�� <b>${s.dp[nums.length-1]}</b></div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','init2→�始化','compare→比较','rob→�','skip→��','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = '[1,2,3,1]';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
      catch(e) { alert('请输入�法 JSON 数组'); }
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = JSON.stringify(e.input);
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def rob(nums):
    n = len(nums)
    if n == 0: return 0
    if n == 1: return nums[0]
    dp = [0] * n
    dp[0], dp[1] = nums[0], max(nums[0], nums[1])
    for i in range(2, n):
        dp[i] = max(dp[i-1], dp[i-2] + nums[i])
    return dp[-1]`, {lang:'Python'});
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  const examples = [
    {input: 12, label: '示例1: n=12'},
    {input: 13, label: '示例2: n=13'},
    {input: 4, label: '示例3: n=4'},
  ];
  let steps, stepCtrl, n;

  function buildSteps(target) {
    n = target; steps = [];
    const dp = new Array(n + 1).fill(Infinity);
    dp[0] = 0;
    steps.push({stage:'init', msg:`�始化 dp[0]=0，其余为 ∞`, dp:[...dp], current:-1, bestJ:-1, candidates:[]});
    for (let i = 1; i <= n; i++) {
      let bestJ = 1, bestVal = Infinity;
      const candidates = [];
      for (let j = 1; j * j <= i; j++) {
        candidates.push({j, sq: j*j, val: dp[i - j*j] + 1});
        if (dp[i - j*j] + 1 < bestVal) { bestVal = dp[i - j*j] + 1; bestJ = j; }
      }
      steps.push({stage:'try', msg:`计算 dp[${i}]：�试所有平方数`, dp:[...dp], current:i, bestJ:-1, candidates});
      dp[i] = bestVal;
      steps.push({stage:'fill', msg:`dp[${i}] = dp[${i-bestJ*bestJ}]+1 = ${dp[i-bestJ*bestJ]}+1 = ${bestVal}（选 ${bestJ}²=${bestJ*bestJ}）`, dp:[...dp], current:i, bestJ, candidates});
    }
    steps.push({stage:'done', msg:`${n} 最少需� ${dp[n]} 个完全平方数`, dp:[...dp], current:n, bestJ:-1, candidates:[]});
  }

  function render(step) {
    const s = steps[step];
    let viz = '<div style="margin-top:8px;"><b>dp 表：</b></div>';
    viz += '<div style="display:flex;flex-wrap:wrap;gap:4px;margin:8px 0;">';
    for (let i = 0; i <= n; i++) {
      let cls = 'default';
      if (i === s.current) cls = s.stage==='try'?'orange':'green';
      if (s.bestJ > 0 && i === s.current - s.bestJ*s.bestJ) cls = 'blue';
      const val = s.dp[i] === Infinity ? '∞' : s.dp[i];
      viz += `<span class="chip-group"><span class="chip ${cls}" style="min-width:32px;font-size:13px;">${val}</span><span class="chip-index">${i}</span></span>`;
    }
    viz += '</div>';
    if (s.candidates && s.candidates.length > 0) {
      viz += '<div style="margin-top:8px;"><b>候选平方数：</b></div>';
      viz += '<div style="display:flex;gap:6px;flex-wrap:wrap;margin:4px 0;">';
      s.candidates.forEach(c => {
        const isBest = c.j === s.bestJ;
        const bg = isBest ? '#dcfce7' : '#f0f9ff';
        const bd = isBest ? '2px solid #16a34a' : '1px solid #cbd5e1';
        viz += `<span style="padding:4px 10px;background:${bg};border:${bd};border-radius:8px;font-size:13px;">${c.j}²=${c.sq} → dp[${s.current-c.sq}]+1=${c.val===Infinity?'∞':c.val}</span>`;
      });
      viz += '</div>';
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.current > 0 && s.dp[s.current] !== Infinity) {
      $('detailContent').innerHTML += `<div class="current-answer">dp[${s.current}] = <b>${s.dp[s.current]}</b></div>`;
    }
    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">${n} 最少需� <b>${s.dp[n]}</b> 个完全平方数</div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','try→�试','fill→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = 'n=12';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/n=(\d+)/);
      if (!m) { alert('格�: n=12'); return; }
      buildSteps(parseInt(m[1]));
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `n=${e.input}`;
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def numSquares(n):
    dp = [float('inf')] * (n + 1)
    dp[0] = 0
    for i in range(1, n + 1):
        j = 1
        while j * j <= i:
            dp[i] = min(dp[i], dp[i - j*j] + 1)
            j += 1
    return dp[n]`, {lang:'Python'});
rrrrÚjs_perfect_squaresrP
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  const examples = [
    {input: [1,2,5], amount: 11, label: '示例1: coins=[1,2,5], amount=11'},
    {input: [2], amount: 3, label: '示例2: coins=[2], amount=3'},
    {input: [1], amount: 0, label: '示例3: coins=[1], amount=0'},
  ];
  let coins, amount, steps, stepCtrl;

  function buildSteps(c, amt) {
    coins = [...c]; amount = amt; steps = [];
    const dp = new Array(amt + 1).fill(Infinity);
    dp[0] = 0;
    steps.push({stage:'init', msg:'�始化 dp[0]=0，其余为 ∞', dp:[...dp], current:-1, bestCoin:-1, candidates:[]});
    for (let i = 1; i <= amt; i++) {
      let bestCoin = -1, bestVal = Infinity;
      const candidates = [];
      for (const coin of coins) {
        if (coin <= i) {
          const val = dp[i - coin] + 1;
          candidates.push({coin, prev: i - coin, val});
          if (val < bestVal) { bestVal = val; bestCoin = coin; }
        }
      }
      steps.push({stage:'try', msg:`计算 dp[${i}]：�试所有硬�`, dp:[...dp], current:i, bestCoin:-1, candidates});
      dp[i] = bestVal;
      if (bestCoin > 0) {
        steps.push({stage:'fill', msg:`dp[${i}] = dp[${i-bestCoin}]+1 = ${dp[i-bestCoin]}+1 = ${bestVal}（选硬� ${bestCoin}）`, dp:[...dp], current:i, bestCoin, candidates});
      } else {
        steps.push({stage:'fill', msg:`dp[${i}] = ∞（无法凑出）`, dp:[...dp], current:i, bestCoin:-1, candidates});
      }
    }
    steps.push({stage:'done', msg:dp[amt]===Infinity?`无法凑出金� ${amt}`:`凑出金� ${amt} 最少需� ${dp[amt]} 枚硬�`, dp:[...dp], current:amt, bestCoin:-1, candidates:[]});
  }

  function render(step) {
    const s = steps[step];
    let viz = '<div style="margin-top:8px;"><b>金�轴 & dp 表：</b></div>';
    viz += '<div style="display:flex;flex-wrap:wrap;gap:4px;margin:8px 0;">';
    for (let i = 0; i <= amount; i++) {
      const cls = i === s.current ? (s.stage==='try'?'orange':'green') : 'default';
      const val = s.dp[i] === Infinity ? '∞' : s.dp[i];
      viz += `<span class="chip-group"><span class="chip ${cls}" style="min-width:36px;font-size:13px;">${val}</span><span class="chip-index">${i}</span></span>`;
    }
    viz += '</div>';
    viz += '<div style="margin-top:8px;"><b>硬���：</b></div>';
    viz += '<div style="display:flex;gap:6px;margin:4px 0;">';
    coins.forEach(c => {
      const isBest = c === s.bestCoin;
      const cls = isBest ? 'green' : 'default';
      viz += `<span class="chip ${cls}" style="border-radius:50%;min-width:36px;height:36px;">${c}</span>`;
    });
    viz += '</div>';
    if (s.candidates && s.candidates.length > 0) {
      viz += '<div style="margin-top:8px;"><b>候选：</b></div>';
      viz += '<div style="display:flex;gap:6px;flex-wrap:wrap;margin:4px 0;">';
      s.candidates.forEach(c => {
        const isBest = c.coin === s.bestCoin;
        const bg = isBest ? '#dcfce7' : '#f0f9ff';
        const bd = isBest ? '2px solid #16a34a' : '1px solid #cbd5e1';
        viz += `<span style="padding:4px 10px;background:${bg};border:${bd};border-radius:8px;font-size:13px;">用${c.coin} → dp[${c.prev}]+1=${c.val===Infinity?'∞':c.val}</span>`;
      });
      viz += '</div>';
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.current >= 0 && s.dp[s.current] !== Infinity) {
      $('detailContent').innerHTML += `<div class="current-answer">dp[${s.current}] = <b>${s.dp[s.current]}</b></div>`;
    }
    if (s.stage === 'done') {
      if (s.dp[amount] === Infinity) {
        $('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法凑出该金�，返回 <b>-1</b></div>';
      } else {
        $('resultContent').innerHTML = `<div class="final-answer">最少需� <b>${s.dp[amount]}</b> 枚硬�</div>`;
      }
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','try→�试','fill→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = 'coins=[1,2,5], amount=11';
    buildSteps(examples[0].input, examples[0].amount);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/coins=\[([^\]]+)\].*amount=(\d+)/);
      if (!m) { alert('格�: coins=[1,2,5], amount=11'); return; }
      const c = m[1].split(',').map(Number);
      buildSteps(c, parseInt(m[2]));
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `coins=[${e.input}], amount=${e.amount}`;
      buildSteps(e.input, e.amount); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $("codeArea").innerHTML = renderCode(
    `def coinChange(coins, amount):\n` +
    `    dp = [float('inf')] * (amount + 1)\n` +
    `    dp[0] = 0\n` +
    `    for i in range(1, amount + 1):\n` +
    `        for coin in coins:\n` +
    `            if coin <= i:\n` +
    `                dp[i] = min(dp[i], dp[i - coin] + 1)\n` +
    `    return dp[amount] if dp[amount] != float('inf') else -1`,
    {lang:'Python'}
  );
rrrrÚjs_coin_changer»
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  const examples = [
    {input: 'leetcode', dict: ['leet','code'], label: '示例1: "leetcode", ["leet","code"]'},
    {input: 'applepenapple', dict: ['apple','pen'], label: '示例2: "applepenapple", ["apple","pen"]'},
    {input: 'catsandog', dict: ['cats','dog','sand','and','cat'], label: '示例3: "catsandog"'},
  ];
  let s, wordDict, steps, stepCtrl;

  function buildSteps(str, dict) {
    s = str; wordDict = dict; steps = [];
    const n = str.length;
    const dp = new Array(n + 1).fill(false);
    dp[0] = true;
    steps.push({stage:'init', msg:'dp[0]=true（空串�分割）', dp:[...dp], i:-1, j:-1, matched:false, matchWord:''});
    for (let i = 1; i <= n; i++) {
      steps.push({stage:'checkI', msg:`检查 dp[${i}]：能�将 s[0:${i}]="${s.slice(0,i)}" 分割`, dp:[...dp], i, j:-1, matched:false, matchWord:''});
      for (let j = 0; j < i; j++) {
        const sub = s.slice(j, i);
        const inDict = dp[j] && dict.includes(sub);
        if (dp[j]) {
          steps.push({stage:'tryJ', msg:`dp[${j}]=true，检查 s[${j}:${i}]="${sub}" ${inDict?'在字典中 ✅':'�在字典中 �'}`, dp:[...dp], i, j, matched:inDict, matchWord:sub});
          if (inDict) {
            dp[i] = true;
            steps.push({stage:'found', msg:`dp[${j}]=true 且 "${sub}" 在字典中 → dp[${i}]=true`, dp:[...dp], i, j, matched:true, matchWord:sub});
            break;
          }
        }
      }
      if (!dp[i]) {
        steps.push({stage:'fail', msg:`dp[${i}]=false（无法分割 s[0:${i}]）`, dp:[...dp], i, j:-1, matched:false, matchWord:''});
      }
    }
    steps.push({stage:'done', msg:dp[n]?`"${s}" �以被分割`:`"${s}" 无法被分割`, dp:[...dp], i:n, j:-1, matched:dp[n], matchWord:''});
  }

  function render(step) {
    const st = steps[step];
    let viz = '<div style="margin-top:8px;"><b>字符串：</b></div>';
    viz += '<div style="display:flex;gap:2px;margin:8px 0;">';
    for (let i = 0; i < s.length; i++) {
      const inRange = st.j >= 0 && i >= st.j && i < st.i;
      const cls = inRange ? (st.matched ? 'green' : 'orange') : 'default';
      viz += `<span class="chip ${cls}" style="min-width:28px;font-size:14px;">${s[i]}</span>`;
    }
    viz += '</div>';
    viz += '<div style="display:flex;gap:2px;margin-top:-4px;">';
    for (let i = 0; i <= s.length; i++) {
      viz += `<span style="min-width:28px;text-align:center;font-size:10px;color:var(--text-muted);">${i}</span>`;
    }
    viz += '</div>';
    viz += '<div style="margin-top:8px;"><b>dp 状�：</b></div>';
    viz += '<div style="display:flex;gap:3px;flex-wrap:wrap;margin:4px 0;">';
    for (let i = 0; i <= s.length; i++) {
      const isCur = i === st.i;
      const cls = isCur ? 'orange' : (st.dp[i] ? 'green' : 'default');
      viz += `<span class="chip ${cls}" style="min-width:32px;font-size:12px;height:28px;">${st.dp[i]?'T':'F'}</span>`;
    }
    viz += '</div>';
    viz += '<div style="margin-top:8px;"><b>字典：</b></div>';
    viz += '<div style="display:flex;gap:4px;flex-wrap:wrap;margin:4px 0;">';
    wordDict.forEach(w => {
      const isMatch = w === st.matchWord;
      const cls = isMatch ? 'green' : 'default';
      viz += `<span class="chip ${cls}" style="min-width:auto;padding:4px 10px;font-size:13px;">"${w}"</span>`;
    });
    viz += '</div>';
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + st.msg + '</div>';
    if (st.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">${st.matched ? `"${s}" �以被分割 ✅` : `"${s}" 无法被分割 �`}</div>`;
    }
    $('hintText').textContent = st.msg;
    const stages = ['init→�始化','checkI→检查','tryJ→�试','found→找到','fail→失败','done→完�'];
    $('pipeline').innerHTML = stages.map(st2 => {
      const [k,l] = st2.split('→');
      return `<span class="pipe-step ${st.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = 's="leetcode", dict=["leet","code"]';
    buildSteps(examples[0].input, examples[0].dict);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/s="([^"]+)"\s*,\s*dict=\[([^\]]+)\]/);
      if (!m) { alert('格�: s="leetcode", dict=["leet","code"]'); return; }
      const dict = m[2].match(/"([^"]*)"/g).map(x => x.replace(/"/g, ''));
      buildSteps(m[1], dict);
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `s="${e.input}", dict=["${e.dict.join('","')}"]`;
      buildSteps(e.input, e.dict); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def wordBreak(s, wordDict):
    n = len(s)
    dp = [False] * (n + 1)
    dp[0] = True
    word_set = set(wordDict)
    for i in range(1, n + 1):
        for j in range(i):
            if dp[j] and s[j:i] in word_set:
                dp[i] = True
                break
    return dp[n]`, {lang:'Python'});
rrrrÚ
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  const examples = [
    {input: [10,9,2,5,3,7,101,18], label: '示例1: [10,9,2,5,3,7,101,18]'},
    {input: [0,1,0,3,2,3], label: '示例2: [0,1,0,3,2,3]'},
    {input: [7,7,7,7,7,7,7], label: '示例3: [7,7,7,7,7,7,7]'},
  ];
  let nums, steps, stepCtrl;

  function buildSteps(arr) {
    nums = [...arr]; steps = [];
    const n = nums.length;
    if (n === 0) { steps.push({stage:'done', msg:'数组为空', dp:[], best:0, prev:[]}); return; }
    const dp = new Array(n).fill(1);
    const prev = new Array(n).fill(-1);
    steps.push({stage:'init', msg:'�个元素自身构�长度为1的递增��列', dp:[...dp], current:-1, bestIdx:0, prev:[...prev]});
    let bestIdx = 0;
    for (let i = 1; i < n; i++) {
      steps.push({stage:'check', msg:`检查 nums[${i}]=${nums[i]}，寻找 j<i 使得 nums[j]<nums[${i}]`, dp:[...dp], current:i, bestIdx, j:-1, prev:[...prev]});
      for (let j = 0; j < i; j++) {
        if (nums[j] < nums[i] && dp[j] + 1 > dp[i]) {
          dp[i] = dp[j] + 1;
          prev[i] = j;
          steps.push({stage:'update', msg:`nums[${j}]=${nums[j]} < ${nums[i]}，dp[${i}] = dp[${j}]+1 = ${dp[i]}`, dp:[...dp], current:i, bestIdx, j, prev:[...prev]});
        }
      }
      if (dp[i] > dp[bestIdx]) bestIdx = i;
      steps.push({stage:'doneI', msg:`dp[${i}]=${dp[i]}，最长��列长度 = ${dp[bestIdx]}`, dp:[...dp], current:i, bestIdx, prev:[...prev]});
    }
    steps.push({stage:'done', msg:`最长递增��列长度 = ${dp[bestIdx]}`, dp:[...dp], current:bestIdx, bestIdx, prev:[...prev]});
  }

  function render(step) {
    const s = steps[step];
    const hl = {};
    if (s.current >= 0 && s.stage !== 'done') hl[s.current] = 'orange';
    if (s.j >= 0) hl[s.j] = 'blue';
    if (s.stage === 'done') {
      let idx = s.bestIdx;
      while (idx >= 0) { hl[idx] = 'green'; idx = s.prev[idx]; }
    }
    let viz = renderArray(nums, {highlights: hl});
    viz += '<div style="margin-top:8px;"><b>dp 值（以�个元素结尾的 LIS 长度）：</b></div>';
    const dpHl = {};
    if (s.current >= 0 && s.stage !== 'done') dpHl[s.current] = 'orange';
    if (s.bestIdx >= 0 && s.stage === 'done') dpHl[s.bestIdx] = 'green';
    viz += renderArray(s.dp, {highlights: dpHl});
    if (s.stage === 'done') {
      const lis = [];
      let idx = s.bestIdx;
      while (idx >= 0) { lis.unshift(nums[idx]); idx = s.prev[idx]; }
      viz += `<div style="margin-top:8px;color:var(--green);"><b>LIS: [${lis.join(', ')}]</b></div>`;
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.bestIdx >= 0) {
      $('detailContent').innerHTML += `<div class="current-answer">当� LIS 长度：<b>${s.dp[s.bestIdx]||1}</b></div>`;
    }
    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">最长递增��列长度 = <b>${s.dp[s.bestIdx]}</b></div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','check→检查','update→更新','doneI→完�I','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = '[10,9,2,5,3,7,101,18]';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
      catch(e) { alert('请输入�法 JSON 数组'); }
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = JSON.stringify(e.input);
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def lengthOfLIS(nums):
    n = len(nums)
    dp = [1] * n
    for i in range(1, n):
        for j in range(i):
            if nums[j] < nums[i]:
                dp[i] = max(dp[i], dp[j] + 1)
    return max(dp)`, {lang:'Python'});
rrrrÚ!js_longest_increasing_subsequencerµs€ðf
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  const examples = [
    {input: [2,3,-2,4], label: '示例1: [2,3,-2,4]'},
    {input: [-2,0,-1], label: '示例2: [-2,0,-1]'},
    {input: [-2,3,-4], label: '示例3: [-2,3,-4]'},
  ];
  let nums, steps, stepCtrl;

  function buildSteps(arr) {
    nums = [...arr]; steps = [];
    const n = nums.length;
    const maxDP = new Array(n).fill(0);
    const minDP = new Array(n).fill(0);
    maxDP[0] = nums[0]; minDP[0] = nums[0];
    let globalMax = nums[0];
    steps.push({stage:'init', msg:`maxDP[0]=${nums[0]}，minDP[0]=${nums[0]}（�时维护最大和最�）`, maxDP:[...maxDP], minDP:[...minDP], current:-1, globalMax, candidates:null});
    for (let i = 1; i < n; i++) {
      const candidates = [nums[i], maxDP[i-1]*nums[i], minDP[i-1]*nums[i]];
      maxDP[i] = Math.max(...candidates);
      minDP[i] = Math.min(...candidates);
      globalMax = Math.max(globalMax, maxDP[i]);
      steps.push({stage:'calc', msg:`nums[${i}]=${nums[i]}：候选值 = [${nums[i]}, ${maxDP[i-1]}×${nums[i]}=${candidates[1]}, ${minDP[i-1]}×${nums[i]}=${candidates[2]}]`, maxDP:[...maxDP], minDP:[...minDP], current:i, globalMax, candidates});
      steps.push({stage:'fill', msg:`maxDP[${i}]=${maxDP[i]}，minDP[${i}]=${minDP[i]}，全局最大=${globalMax}`, maxDP:[...maxDP], minDP:[...minDP], current:i, globalMax, candidates});
    }
    steps.push({stage:'done', msg:`乘积最大�数组的积 = ${globalMax}`, maxDP:[...maxDP], minDP:[...minDP], current:n-1, globalMax, candidates:null});
  }

  function render(step) {
    const s = steps[step];
    const hl = {};
    if (s.current >= 0) hl[s.current] = 'orange';
    let viz = renderArray(nums, {highlights: hl});
    viz += '<div style="margin-top:12px;"><b>maxDP（最大乘积）：</b></div>';
    const maxHl = {};
    if (s.current >= 0) maxHl[s.current] = 'green';
    viz += renderArray(s.maxDP, {highlights: maxHl});
    viz += '<div style="margin-top:8px;"><b>minDP（最�乘积）：</b></div>';
    const minHl = {};
    if (s.current >= 0) minHl[s.current] = 'purple';
    viz += renderArray(s.minDP, {highlights: minHl});
    if (s.candidates) {
      viz += '<div style="margin-top:8px;"><b>三个候选：</b></div>';
      viz += '<div style="display:flex;gap:8px;margin:4px 0;">';
      const labels = ['当�数', 'maxDP×当�', 'minDP×当�'];
      s.candidates.forEach((c, idx) => {
        const isMax = c === s.maxDP[s.current];
        const isMin = c === s.minDP[s.current];
        let bd = '1px solid #cbd5e1', bg = '#f8fafc';
        if (isMax && isMin) { bd = '2px solid #8b5cf6'; bg = '#ede9fe'; }
        else if (isMax) { bd = '2px solid #16a34a'; bg = '#dcfce7'; }
        else if (isMin) { bd = '2px solid #7c3aed'; bg = '#ede9fe'; }
        viz += `<span style="padding:4px 10px;background:${bg};border:${bd};border-radius:8px;font-size:13px;">${labels[idx]}=<b>${c}</b></span>`;
      });
      viz += '</div>';
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    $('detailContent').innerHTML += `<div class="current-answer">全局最大乘积：<b>${s.globalMax}</b></div>`;
    if (s.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">乘积最大�数组的积 = <b>${s.globalMax}</b></div>`;
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','calc→计算','fill→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = '[2,3,-2,4]';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
      catch(e) { alert('请输入�法 JSON 数组'); }
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = JSON.stringify(e.input);
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def maxProduct(nums):
    max_dp = min_dp = result = nums[0]
    for i in range(1, len(nums)):
        candidates = (nums[i], max_dp * nums[i], min_dp * nums[i])
        max_dp = max(candidates)
        min_dp = min(candidates)
        result = max(result, max_dp)
    return result`, {lang:'Python'});
rrrrÚjs_maximum_product_subarrayrr
rc
ó—d
S)NuP
  const examples = [
    {input: [1,5,11,5], label: '示例1: [1,5,11,5]'},
    {input: [1,2,3,5], label: '示例2: [1,2,3,5]'},
    {input: [1,1], label: '示例3: [1,1]'},
  ];
  let nums, steps, stepCtrl, target;

  function buildSteps(arr) {
    nums = [...arr]; steps = [];
    const sum = arr.reduce((a,b) => a + b, 0);
    if (sum % 2 !== 0) {
      target = 0;
      steps.push({stage:'done', msg:`总和=${sum}为奇数，无法等分`, dp:null, target:0, itemIdx:-1, curJ:-1});
      return;
    }
    target = sum / 2;
    const n = arr.length;
    const dp = new Array(target + 1).fill(false);
    dp[0] = true;
    steps.push({stage:'init', msg:`总和=${sum}，目标=${target}，0-1背包：�件物�选或�选`, dp:[...dp], target, itemIdx:-1, curJ:-1});
    for (let i = 0; i < n; i++) {
      steps.push({stage:'item', msg:`考虑物� ${i}：nums[${i}]=${arr[i]}`, dp:[...dp], target, itemIdx:i, curJ:-1});
      for (let j = target; j >= arr[i]; j--) {
        if (dp[j - arr[i]] && !dp[j]) {
          dp[j] = true;
          steps.push({stage:'fill', msg:`dp[${j}] = dp[${j}-${arr[i]}] = dp[${j-arr[i]}] = true → dp[${j}]=true`, dp:[...dp], target, itemIdx:i, curJ:j});
        }
      }
      if (dp[target]) {
        steps.push({stage:'done', msg:`已找到和为 ${target} 的�集，�以等分�`, dp:[...dp], target, itemIdx:i, curJ:target});
        return;
      }
    }
    steps.push({stage:'done', msg:`无法找到和为 ${target} 的�集`, dp:[...dp], target, itemIdx:-1, curJ:-1});
  }

  function render(step) {
    const s = steps[step];
    if (!s.dp) {
      $('vizArea').innerHTML = '<div class="formula-box">总和为奇数，直接返回 false</div>';
      $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
      $('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分</div>';
      $('hintText').textContent = s.msg;
      $('pipeline').innerHTML = '<span class="pipe-step active">完�</span>';
      return;
    }
    let viz = '<div style="margin-top:8px;"><b>物�：</b></div>';
    viz += '<div style="display:flex;gap:4px;margin:4px 0;">';
    nums.forEach((v, i) => {
      const cls = i === s.itemIdx ? 'orange' : (i < s.itemIdx || s.stage==='done' ? 'green' : 'default');
      viz += `<span class="chip ${cls}" style="min-width:36px;">${v}</span>`;
    });
    viz += '</div>';
    viz += `<div style="margin-top:8px;"><b>dp 表（容� 0~${s.target}）：</b></div>`;
    viz += '<div style="display:flex;flex-wrap:wrap;gap:3px;margin:4px 0;">';
    for (let j = 0; j <= s.target; j++) {
      let cls = s.dp[j] ? 'green' : 'default';
      if (j === s.curJ) cls = 'orange';
      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>`;
    }
    viz += '</div>';
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
    if (s.dp[s.target]) {
      $('detailContent').innerHTML += `<div class="current-answer">dp[${s.target}] = <b>true</b></div>`;
    }
    if (s.stage === 'done') {
      if (s.dp && s.dp[s.target]) {
        $('resultContent').innerHTML = `<div class="final-answer">�以等分为两个�集，和�为 <b>${s.target}</b> ✅</div>`;
      } else {
        $('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分 �</div>';
      }
    }
    $('hintText').textContent = s.msg;
    const stages = ['init→�始化','item→物�','fill→填充','done→完�'];
    $('pipeline').innerHTML = stages.map(st => {
      const [k,l] = st.split('→');
      return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = '[1,5,11,5]';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
      catch(e) { alert('请输入�法 JSON 数组'); }
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = JSON.stringify(e.input);
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def canPartition(nums):
    total = sum(nums)
    if total % 2: return False
    target = total // 2
    dp = [False] * (target + 1)
    dp[0] = True
    for num in nums:
        for j in range(target, num - 1, -1):
            dp[j] = dp[j] or dp[j - num]
        if dp[target]: return True
    return dp[target]`, {lang:'Python'});
rrrrÚjs_partition_equal_subset_sumrŠrrc
ó—d
S)Nu·
  const examples = [
    {input: '(()', label: '示例1: "(()"'},
    {input: ')()())', label: '示例2: ")()())"'},
    {input: '', label: '示例3: ""'},
  ];
  let s, steps, stepCtrl;

  function buildSteps(str) {
    s = str; steps = [];
    if (str.length === 0) {
      steps.push({stage:'done', msg:'空字符串，结果为 0', dp:[], stack:[-1], maxLen:0, current:-1, matched:-1});
      return;
    }
    const n = str.length;
    const dp = new Array(n).fill(0);
    const stackArr = [-1];
    let maxLen = 0;
    steps.push({stage:'init', msg:'用栈方法：栈中�存索引，�始压入 -1 作为基线', dp:[...dp], stack:[-1], maxLen:0, current:-1, matched:-1});
    for (let i = 0; i < n; i++) {
      steps.push({stage:'check', msg:`处� s[${i}]='${str[i]}'`, dp:[...dp], stack:[...stackArr], maxLen, current:i, matched:-1});
      if (str[i] === '(') {
        stackArr.push(i);
        steps.push({stage:'push', msg:`�到 '('，压入索引 ${i}`, dp:[...dp], stack:[...stackArr], maxLen, current:i, matched:-1});
      } else {
        if (stackArr.length > 1) {
          stackArr.pop();
          const start = stackArr[stackArr.length - 1];
          const len = i - start;
          maxLen = Math.max(maxLen, len);
          dp[i] = len;
          steps.push({stage:'pop', msg:`�到 ')'，弹出栈顶，栈顶=${start}，有效长度=${i}-${start}=${len}`, dp:[...dp], stack:[...stackArr], maxLen, current:i, matched:start});
        } else {
          stackArr.length = 0;
          stackArr.push(i);
          steps.push({stage:'reset', msg:`�到 ')' 但栈空（无匹�），�置基线为 ${i}`, dp:[...dp], stack:[...stackArr], maxLen, current:i, matched:-1});
        }
      }
    }
    steps.push({stage:'done', msg:`最长有效括��串长度 = ${maxLen}`, dp:[...dp], stack:[...stackArr], maxLen, current:-1, matched:-1});
  }

  function render(step) {
    const st = steps[step];
    if (!st.dp || st.dp.length === 0) {
      $('vizArea').innerHTML = '<div class="formula-box">空字符串，结果为 0</div>';
      $('detailContent').innerHTML = '<div class="calc-block">' + st.msg + '</div>';
      $('resultContent').innerHTML = '<div class="final-answer">最长有效括�长度 = <b>0</b></div>';
      $('hintText').textContent = st.msg;
      $('pipeline').innerHTML = '<span class="pipe-step active">完�</span>';
      return;
    }
    let viz = '<div style="margin-top:8px;"><b>字符串：</b></div>';
    viz += '<div style="display:flex;gap:3px;margin:8px 0;">';
    for (let i = 0; i < s.length; i++) {
      let cls = 'default';
      if (i === st.current) cls = 'orange';
      else if (st.dp[i] > 0) cls = 'green';
      else if (i === st.matched) cls = 'blue';
      viz += `<span class="chip ${cls}" style="min-width:28px;font-size:14px;">${s[i]}</span>`;
    }
    viz += '</div>';
    viz += '<div style="display:flex;gap:3px;margin-top:-4px;">';
    for (let i = 0; i < s.length; i++) {
      viz += `<span style="min-width:28px;text-align:center;font-size:10px;color:var(--text-muted);">${i}</span>`;
    }
    viz += '</div>';
    viz += '<div style="margin-top:8px;"><b>dp 值（以��置结尾的有效长度）：</b></div>';
    viz += '<div style="display:flex;gap:3px;margin:4px 0;">';
    for (let i = 0; i < s.length; i++) {
      let cls = st.dp[i] > 0 ? 'green' : 'default';
      if (i === st.current) cls = 'orange';
      viz += `<span class="chip ${cls}" style="min-width:28px;font-size:12px;height:28px;">${st.dp[i]}</span>`;
    }
    viz += '</div>';
    if (st.stack) {
      viz += '<div style="margin-top:8px;"><b>栈：</b></div>';
      viz += '<div style="display:flex;gap:3px;flex-wrap:wrap;margin:4px 0;">';
      st.stack.forEach((v, idx) => {
        const cls = idx === st.stack.length - 1 ? 'blue' : 'default';
        viz += `<span class="chip ${cls}" style="min-width:28px;font-size:12px;height:28px;">${v}</span>`;
      });
      viz += '</div>';
    }
    $('vizArea').innerHTML = viz;

    $('detailContent').innerHTML = '<div class="calc-block">' + st.msg + '</div>';
    if (st.maxLen > 0) {
      $('detailContent').innerHTML += `<div class="current-answer">当�最长有效长度：<b>${st.maxLen}</b></div>`;
    }
    if (st.stage === 'done') {
      $('resultContent').innerHTML = `<div class="final-answer">最长有效括��串长度 = <b>${st.maxLen}</b></div>`;
    }
    $('hintText').textContent = st.msg;
    const stages = ['init→�始化','check→检查','push→入栈','pop→匹�','reset→�置','done→完�'];
    $('pipeline').innerHTML = stages.map(st2 => {
      const [k,l] = st2.split('→');
      return `<span class="pipe-step ${st.stage===k?'active':''}">${l}</span>`;
    }).join('<i>→</i>');
  }

  function init() {
    const sel = $('exampleSelect');
    examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
    $('inputArea').value = '"(()"';
    buildSteps(examples[0].input);
    stepCtrl = new StepController({onStep: render});
    stepCtrl.setSteps(steps.map((_,i)=>i));
    $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
    $('applyBtn').onclick = () => {
      const m = $('inputArea').value.match(/"([^"]+)"/);
      if (!m) { alert('格�: "(()"'); return; }
      buildSteps(m[1]);
      stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
    };
    $('exampleSelect').onchange = () => {
      const e = examples[parseInt($('exampleSelect').value)];
      $('inputArea').value = `"${e.input}"`;
      buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
    };
    $('prevBtn').onclick = () => stepCtrl.prev();
    $('nextBtn').onclick = () => stepCtrl.next();
    $('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
    $('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂�' : '自动播放'; };
    $('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
  }
  init();
  $('codeArea').innerHTML = renderCode(`def longestValidParentheses(s):
    stack = [-1]
    max_len = 0
    for i, c in enumerate(s):
        if c == '(':
            stack.append(i)
        else:
            stack.pop()
            if not stack:
                stack.append(i)
            else:
                max_len = max(max_len, i - stack[-1])
    return max_len`, {lang:'Python'});