189 lines
7.4 KiB
HTML
189 lines
7.4 KiB
HTML
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<!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>067. 寻找旋转排序数组中的最小值 – 图解</title>
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<link rel="stylesheet" href="../shared/style.css">
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<style>
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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>🟡 067. 寻找旋转排序数组中的最小值 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：二分查找 ｜ LeetCode Hot 100</p>
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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="nums=[3,4,5,1,2]">
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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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<div class="pipeline" id="pipeline"></div>
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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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<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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<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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const examples = [
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{nums:[3,4,5,1,2], label:'示例1: [3,4,5,1,2]'},
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{nums:[4,5,6,7,0,1,2], label:'示例2: [4,5,6,7,0,1,2]'},
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{nums:[11,13,15,17], label:'示例3: 未旋转 [11,13,15,17]'},
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{nums:[2,1], label:'示例4: [2,1]'},
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];
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let numsArr, steps, stepCtrl;
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function buildSteps(nums) {
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numsArr = nums;
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steps = [];
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let left = 0, right = nums.length - 1;
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steps.push({stage:'init', msg:`初始化：left=${left}, right=${right}`, left, right, mid:-1, minIdx:-1});
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// If not rotated
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if (nums[left] < nums[right]) {
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steps.push({stage:'done', msg:`nums[${left}]=${nums[left]} < nums[${right}]=${nums[right]}，数组未旋转，最小值为 ${nums[left]}`, left, right, mid:-1, minIdx:left});
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return;
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}
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while (left < right) {
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const mid = Math.floor((left + right) / 2);
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steps.push({stage:'calc', msg:`mid = ⌊(${left}+${right})/2⌋ = ${mid}，nums[${mid}] = ${nums[mid]}，nums[${right}] = ${nums[right]}`, left, right, mid, minIdx:-1});
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if (nums[mid] > nums[right]) {
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steps.push({stage:'goRight', msg:`nums[${mid}]=${nums[mid]} > nums[${right}]=${nums[right]}，最小值在 mid 右侧，left = ${mid}+1 = ${mid+1}`, left:mid+1, right, mid, minIdx:-1});
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left = mid + 1;
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} else {
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steps.push({stage:'goLeft', msg:`nums[${mid}]=${nums[mid]} ≤ nums[${right}]=${nums[right]}，最小值在 mid 或 mid 左侧，right = ${mid}`, left, right:mid, mid, minIdx:-1});
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right = mid;
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}
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}
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steps.push({stage:'done', msg:`left == right == ${left}，最小值为 nums[${left}] = ${nums[left]}`, left, right, mid:-1, minIdx:left});
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}
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function render(step) {
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const s = steps[step];
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const arr = numsArr;
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const hl = highlightRange(arr, s.left, s.right, 'cyan');
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if (s.mid >= 0 && s.mid < arr.length) hl[s.mid] = 'orange';
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if (s.minIdx >= 0 && s.minIdx < arr.length) hl[s.minIdx] = 'green';
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const pointers = {};
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if (s.left >= 0 && s.left < arr.length) pointers['L'] = s.left;
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if (s.right >= 0 && s.right < arr.length) pointers['R'] = s.right;
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if (s.mid >= 0 && s.mid < arr.length) pointers['mid'] = s.mid;
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let viz = renderArray(arr, {highlights: hl, pointers});
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if (s.mid >= 0 && s.mid < arr.length) {
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viz += `<div style="margin-top:8px;font-size:13px;">比较：nums[${s.mid}]=${arr[s.mid]} vs nums[${s.right}]=${arr[s.right]} → ${arr[s.mid]>arr[s.right]?'mid > right → 右半':'mid ≤ right → 左半'}</div>`;
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}
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if (s.minIdx >= 0) {
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viz += `<div class="current-answer">🏆 最小值 = ${arr[s.minIdx]}，在索引 ${s.minIdx}</div>`;
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}
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = `<div class="calc-block">${s.msg}</div>
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<div style="margin-top:6px;font-size:13px;color:var(--text-secondary);">核心思路：与右端点比较，> 则旋转点在右，≤ 则旋转点在左（含mid）</div>`;
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if (s.stage === 'done' && s.minIdx >= 0) {
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$('resultContent').innerHTML = `<div class="final-answer">最小值为 <b>${arr[s.minIdx]}</b>（索引 ${s.minIdx}）<br>时间复杂度 O(log n)</div>`;
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}
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$('hintText').textContent = s.msg;
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const stages = ['init→初始化','calc→计算mid','goRight→右缩','goLeft→左缩','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 = 'nums=[3,4,5,1,2]';
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buildSteps(examples[0].nums);
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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 {
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const m = $('inputArea').value.match(/nums=\[([^\]]+)\]/);
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if (!m) { alert('格式: nums=[3,4,5,1,2]'); return; }
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const arr = m[1].split(',').map(Number);
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buildSteps(arr);
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stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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$('stepInfo').textContent = `步骤 1 / ${steps.length}`;
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} catch(e) { alert('输入格式错误'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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$('inputArea').value = `nums=[${e.nums}]`;
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buildSteps(e.nums);
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stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('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 findMin(nums):
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left, right = 0, len(nums) - 1
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while left < right:
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mid = (left + right) // 2
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if nums[mid] > nums[right]:
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# 最小值在右半
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left = mid + 1
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else:
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# 最小值在左半（含 mid）
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right = mid
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return nums[left]`, {lang:'Python'});
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})();
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</script>
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</body>
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</html>
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