加时间复杂度

2026-06-16 10:23:48 +08:00
parent daf9e50938
commit 0255ceba02
5 changed files with 878 additions and 5 deletions
@@ -16,11 +16,23 @@ export const chapters = [
      '递归算法复杂度',
      '实验对比分析方法'
    ],
+    subfolders: [
+      {
+        name: 'complexity-demo',
+        label: '🧪 时间复杂度实验',
+        demo: { path: '/complexity-demo', label: '📊 动态演示', description: '通过动画直观理解 O(1)、O(log n)、O(n)、O(n log n)、O(n²)、O(2ⁿ) 的增长差异' },
+        files: []
+      },
+      {
+        name: 'code-examples',
+        label: '代码示例',
        files: [
          { path: 'c/ch1/first.c', name: 'first.c', label: '递归打印图案', description: '递归打印矩形/三角形图案，演示递归基本结构', pyPath: 'py/ch1/first.py' },
          { path: 'c/ch1/compare.c', name: 'compare.c', label: '性能对比（累加 vs 高斯公式）', description: '比较循环累加与高斯求和公式的耗时差异，直观感受算法效率', pyPath: 'py/ch1/compare.py' },
          { path: 'c/ch1/compareall.c', name: 'compareall.c', label: '多项性能对比', description: '更多累加与高斯公式的计时对比实验' }
        ]
+      }
+    ]
  },
  {
    id: 'ch2',
@@ -2,6 +2,7 @@ import { createRouter, createWebHistory } from 'vue-router'
 import Home from '../views/Home.vue'
 import ChapterView from '../views/ChapterView.vue'
 import SortDemo from '../views/SortDemo.vue'
+import ComplexityDemo from '../views/ComplexityDemo.vue'

 const routes = [
  {
@@ -19,6 +20,11 @@ const routes = [
    path: '/sort-demo',
    name: 'SortDemo',
    component: SortDemo
+  },
+  {
+    path: '/complexity-demo',
+    name: 'ComplexityDemo',
+    component: ComplexityDemo
  }
 ]

@@ -170,6 +170,8 @@ function closeDrawer() {

 function getFolderDescription(folderName) {
  const descriptions = {
+    'complexity-demo': '通过交互式动画，直观体验不同时间复杂度算法的执行过程与操作次数差异。',
+    'code-examples': '本章相关的 C 语言和 Python 代码示例。',
    mergesort: '归并排序是分治法的经典应用：将数组一分为二，分别排序后合并。时间复杂度 O(n log n)。',
    quicksort: '快速排序通过选择一个基准元素，将数组分为左右两部分，递归排序。平均时间复杂度 O(n log n)。',
    halfsearch: '二分查找在有序数组中通过每次将搜索范围缩小一半来查找目标值，时间复杂度 O(log n)。',
@@ -0,0 +1,853 @@
+<template>
+  <div class="complexity-demo">
+    <header class="demo-header">
+      <div class="demo-icon">📊</div>
+      <div>
+        <h1 class="demo-title">时间复杂度动态演示</h1>
+        <p class="demo-subtitle">通过动画和计数直观理解不同算法的时间复杂度</p>
+      </div>
+    </header>
+
+    <!-- 控制面板 -->
+    <section class="ctrl-section">
+      <div class="ctrl-row">
+        <label class="ctrl-label">输入规模 n：</label>
+        <input type="range" min="1" max="100" v-model.number="n" class="n-slider" />
+        <span class="n-value">{{ n }}</span>
+      </div>
+      <div class="ctrl-row">
+        <label class="ctrl-label">选择算法：</label>
+        <select v-model="selectedAlgo" class="algo-select">
+          <option v-for="a in algorithms" :key="a.id" :value="a.id">
+            {{ a.label }} — {{ a.complexity }}
+          </option>
+        </select>
+      </div>
+      <div class="ctrl-actions">
+        <button class="ctrl-btn" @click="run" :disabled="running">▶ 运行演示</button>
+        <button class="ctrl-btn" @click="stepForward" :disabled="running || stepIndex >= totalSteps - 1">下一步</button>
+        <button class="ctrl-btn" @click="resetDemo">⟳ 重置</button>
+      </div>
+    </section>
+
+    <!-- 算法说明 -->
+    <section class="info-section" v-if="currentAlgo">
+      <div class="algo-info-card">
+        <h3>{{ currentAlgo.label }}</h3>
+        <div class="complexity-badges">
+          <span class="badge time-badge">时间复杂度：{{ currentAlgo.complexity }}</span>
+          <span class="badge space-badge">空间复杂度：{{ currentAlgo.space }}</span>
+        </div>
+        <p>{{ currentAlgo.description }}</p>
+        <div class="op-count" v-if="opCount !== null">
+          操作次数：<strong>{{ opCount }}</strong>
+          <span class="op-formula">≈ {{ currentAlgo.formula.replace('n', n) }}</span>
+        </div>
+      </div>
+    </section>
+
+    <!-- 动态演示区域 -->
+    <section class="demo-section" v-if="currentAlgo">
+      <div class="visualization-area">
+        <!-- 数组可视化 -->
+        <div class="array-display" v-if="arrayData.length">
+          <div class="array-label">数据状态：</div>
+          <div class="array-bars">
+            <div
+              v-for="(val, idx) in arrayData"
+              :key="idx"
+              class="array-bar-wrapper"
+              :style="{ height: barHeight(val) + 'px' }"
+            >
+              <div
+                class="array-bar"
+                :class="barClass(idx)"
+                :style="{ height: '100%' }"
+              >
+                <span class="bar-val">{{ val }}</span>
+              </div>
+            </div>
+          </div>
+        </div>
+
+        <!-- 日志/步骤说明 -->
+        <div class="step-log" v-if="steps.length">
+          <div class="log-header">📝 执行步骤</div>
+          <div class="log-body" ref="logRef">
+            <div
+              v-for="(step, idx) in visibleSteps"
+              :key="idx"
+              class="log-line"
+              :class="{ current: idx === stepIndex, done: idx < stepIndex }"
+            >
+              <span class="log-step-num">{{ idx + 1 }}</span>
+              <span class="log-text">{{ step }}</span>
+            </div>
+          </div>
+        </div>
+
+        <!-- 复杂度对比图表 -->
+        <div class="chart-section" v-if="showChart">
+          <div class="chart-header">📈 复杂度增长对比</div>
+          <div class="chart-canvas">
+            <div class="chart-row" v-for="item in chartData" :key="item.label">
+              <div class="chart-label">{{ item.label }}</div>
+              <div class="chart-bar-track">
+                <div
+                  class="chart-bar"
+                  :style="{ width: item.percent + '%', backgroundColor: item.color }"
+                >
+                  <span class="chart-bar-text" v-if="item.percent > 15">{{ item.count }}</span>
+                </div>
+              </div>
+            </div>
+          </div>
+        </div>
+      </div>
+    </section>
+
+    <div class="nav-back">
+      <router-link to="/chapter/ch1" class="back-link">← 返回第一章</router-link>
+    </div>
+  </div>
+</template>
+
+<script setup>
+import { ref, computed, watch } from 'vue'
+
+const n = ref(10)
+const selectedAlgo = ref('linear')
+const running = ref(false)
+const opCount = ref(null)
+const steps = ref([])
+const stepIndex = ref(-1)
+const arrayData = ref([])
+const highlights = ref({})
+const showChart = ref(false)
+const logRef = ref(null)
+
+const algorithms = [
+  {
+    id: 'constant',
+    label: '常数阶 — 数组随机访问',
+    complexity: 'O(1)',
+    space: 'O(1)',
+    formula: '1',
+    description: '直接通过索引访问数组元素，无论数组多大，执行时间恒定。这是最优的时间复杂度。'
+  },
+  {
+    id: 'logarithmic',
+    label: '对数阶 — 二分查找',
+    complexity: 'O(log n)',
+    space: 'O(1)',
+    formula: '⌈log₂(n)⌉ = ',
+    description: '每次将搜索范围缩小一半。即使 n 很大，需要的步数也增长很慢。例如 n=1024 时只需 10 步。'
+  },
+  {
+    id: 'linear',
+    label: '线性阶 — 线性查找',
+    complexity: 'O(n)',
+    space: 'O(1)',
+    formula: 'n = ',
+    description: '顺序遍历所有元素。执行时间与输入规模成正比，是最直观的算法复杂度。'
+  },
+  {
+    id: 'nlogn',
+    label: '线性对数阶 — 归并排序分解',
+    complexity: 'O(n log n)',
+    space: 'O(n)',
+    formula: 'n·⌈log₂(n)⌉ = ',
+    description: '常见的"分治"算法复杂度。每一层处理 n 个元素，共有 log n 层。'
+  },
+  {
+    id: 'quadratic',
+    label: '平方阶 — 冒泡排序',
+    complexity: 'O(n²)',
+    space: 'O(1)',
+    formula: 'n(n-1)/2 = ',
+    description: '双重循环嵌套，最常见于简单排序算法。当 n 翻倍时，运行时间变为原来的 4 倍。'
+  },
+  {
+    id: 'exponential',
+    label: '指数阶 — 递归斐波那契',
+    complexity: 'O(2ⁿ)',
+    space: 'O(n)',
+    formula: '2ⁿ = ',
+    description: '递归树呈指数增长。n 稍大时就会爆炸，因此实用中必须优化（如动态规划）。'
+  }
+]
+
+const currentAlgo = computed(() => algorithms.find(a => a.id === selectedAlgo.value))
+
+const totalSteps = computed(() => steps.value.length)
+
+const visibleSteps = computed(() => {
+  // 最多显示最近 50 步
+  if (stepIndex.value < 50) return steps.value.slice(0, Math.max(stepIndex.value + 1, 0))
+  return steps.value.slice(stepIndex.value - 49, stepIndex.value + 1)
+})
+
+const maxVal = computed(() => {
+  if (!arrayData.value.length) return 1
+  return Math.max(...arrayData.value, 1)
+})
+
+function barHeight(val) {
+  return Math.max(20, (val / maxVal.value) * 200)
+}
+
+function barClass(idx) {
+  const h = highlights.value || {}
+  const classes = []
+  if (h.sorted?.includes(idx)) classes.push('bar-sorted')
+  if (h.comparing?.includes(idx)) classes.push('bar-comparing')
+  if (h.current === idx) classes.push('bar-current')
+  return classes
+}
+
+function resetDemo() {
+  running.value = false
+  opCount.value = null
+  steps.value = []
+  stepIndex.value = -1
+  arrayData.value = []
+  highlights.value = {}
+  showChart.value = false
+}
+
+function sleep(ms) {
+  return new Promise(r => setTimeout(r, ms))
+}
+
+async function run() {
+  if (running.value) return
+  running.value = true
+  showChart.value = false
+  steps.value = []
+  stepIndex.value = -1
+  opCount.value = 0
+  highlights.value = {}
+
+  const algo = selectedAlgo.value
+
+  switch (algo) {
+    case 'constant': await runConstant(); break
+    case 'logarithmic': await runLogarithmic(); break
+    case 'linear': await runLinear(); break
+    case 'nlogn': await runNlogn(); break
+    case 'quadratic': await runQuadratic(); break
+    case 'exponential': await runExponential(); break
+  }
+
+  running.value = false
+  showChart.value = true
+  scrollToLogBottom()
+}
+
+function scrollToLogBottom() {
+  setTimeout(() => {
+    if (logRef.value) {
+      logRef.value.scrollTop = logRef.value.scrollHeight
+    }
+  }, 50)
+}
+
+function addStep(msg) {
+  steps.value.push(msg)
+  stepIndex.value = steps.value.length - 1
+}
+
+// O(1) — 数组随机访问
+async function runConstant() {
+  const arr = Array.from({ length: n.value }, () => Math.floor(Math.random() * 100) + 1)
+  arrayData.value = arr
+  addStep(`生成包含 ${n.value} 个元素的数组`)
+  await sleep(300)
+
+  const idx = Math.floor(Math.random() * n.value)
+  highlights.value = { current: idx }
+  addStep(`直接通过索引 arr[${idx}] 访问元素，执行 1 次操作`)
+  await sleep(600)
+
+  opCount.value = 1
+  addStep(`✅ 无论 n 多大，始终只需 1 次操作 → O(1)`)
+}
+
+// O(log n) — 二分查找
+async function runLogarithmic() {
+  const arr = Array.from({ length: n.value }, (_, i) => i + 1)
+  arrayData.value = arr
+  const target = Math.floor(Math.random() * n.value) + 1
+  addStep(`有序数组 [1..${n.value}]，查找目标值 ${target}`)
+  await sleep(400)
+
+  let left = 0, right = n.value - 1
+  let count = 0
+
+  while (left <= right) {
+    count++
+    const mid = Math.floor((left + right) / 2)
+    highlights.value = { comparing: [left, right], current: mid }
+    addStep(`第 ${count} 次：区间 [${left + 1}, ${right + 1}]，中间索引 ${mid + 1} (值=${arr[mid]})`)
+    await sleep(500)
+
+    if (arr[mid] === target) {
+      highlights.value = { sorted: [mid], current: mid }
+      addStep(`✅ 找到目标 ${target} 在位置 ${mid + 1}，共 ${count} 次比较`)
+      opCount.value = count
+      return
+    } else if (arr[mid] < target) {
+      left = mid + 1
+      addStep(`   ${arr[mid]} < ${target}，搜右侧`)
+    } else {
+      right = mid - 1
+      addStep(`   ${arr[mid]} > ${target}，搜左侧`)
+    }
+    await sleep(400)
+  }
+
+  addStep(`❌ 未找到，共 ${count} 次比较`)
+  opCount.value = count
+}
+
+// O(n) — 线性查找
+async function runLinear() {
+  const arr = Array.from({ length: n.value }, () => Math.floor(Math.random() * 100))
+  arrayData.value = arr
+  const target = Math.floor(Math.random() * 100)
+  addStep(`数组长度=${n.value}，查找目标值 ${target}`)
+  await sleep(400)
+
+  let count = 0
+  for (let i = 0; i < n.value; i++) {
+    count++
+    highlights.value = { current: i }
+    addStep(`第 ${count} 次：比较 arr[${i}] = ${arr[i]} ${arr[i] === target ? '✅ 找到' : ''}`)
+    await sleep(200)
+    if (arr[i] === target) {
+      highlights.value = { sorted: [i] }
+      addStep(`✅ 找到目标 ${target} 在位置 ${i + 1}，共 ${count} 次比较`)
+      opCount.value = count
+      return
+    }
+  }
+  addStep(`❌ 未找到，共 ${count} 次比较`)
+  opCount.value = count
+}
+
+// O(n log n) — 归并排序分解过程
+async function runNlogn() {
+  const size = Math.min(n.value, 32)
+  const arr = Array.from({ length: size }, () => Math.floor(Math.random() * 100))
+  arrayData.value = arr
+  addStep(`数组 [${arr.join(', ')}] (n=${size})`)
+  await sleep(400)
+
+  let count = 0
+
+  async function mergeSort(arr, left, right, depth = 0) {
+    if (left >= right) return
+    const mid = Math.floor((left + right) / 2)
+    count++
+    highlights.value = { range: [left, right], current: mid }
+    addStep(`  分解 [${left + 1}..${right + 1}] → 左[${left + 1}..${mid + 1}] 右[${mid + 2}..${right + 1}]`)
+    await sleep(300)
+
+    await mergeSort(arr, left, mid, depth + 1)
+    await mergeSort(arr, mid + 1, right, depth + 1)
+
+    // 合并
+    const temp = []
+    let i = left, j = mid + 1
+    while (i <= mid && j <= right) {
+      count++
+      if (arr[i] <= arr[j]) temp.push(arr[i++])
+      else temp.push(arr[j++])
+    }
+    while (i <= mid) { temp.push(arr[i++]); count++ }
+    while (j <= right) { temp.push(arr[j++]); count++ }
+
+    for (let k = left; k <= right; k++) {
+      arr[k] = temp[k - left]
+      highlights.value = { sorted: Array.from({ length: right + 1 }, (_, i) => i).slice(0, k + 1) }
+    }
+    addStep(`  合并完成 [${left + 1}..${right + 1}]`)
+    await sleep(300)
+  }
+
+  await mergeSort(arr, 0, size - 1)
+  arrayData.value = [...arr]
+  const nlogn = Math.ceil(size * Math.log2(size))
+  opCount.value = count
+  addStep(`✅ 归并排序完成，总操作约 ${count} 次，理论值 O(n·log₂n) ≈ ${nlogn}`)
+}
+
+// O(n²) — 冒泡排序
+async function runQuadratic() {
+  const size = Math.min(n.value, 20)
+  const arr = Array.from({ length: size }, () => Math.floor(Math.random() * 100))
+  arrayData.value = arr
+  addStep(`初始数组 [${arr.join(', ')}] (n=${size})`)
+  await sleep(400)
+
+  let count = 0
+  const len = arr.length
+
+  for (let i = 0; i < len - 1; i++) {
+    for (let j = 0; j < len - 1 - i; j++) {
+      count++
+      highlights.value = { comparing: [j, j + 1] }
+      addStep(`比较 arr[${j}]=${arr[j]} 和 arr[${j + 1}]=${arr[j + 1]}`)
+      await sleep(200)
+
+      if (arr[j] > arr[j + 1]) {
+        [arr[j], arr[j + 1]] = [arr[j + 1], arr[j]]
+        highlights.value = { swapping: [j, j + 1] }
+        addStep(`  交换 → [${arr.join(', ')}]`)
+        await sleep(200)
+      }
+    }
+    highlights.value = { sorted: Array.from({ length: len }, (_, k) => k).slice(len - 1 - i) }
+  }
+
+  arrayData.value = [...arr]
+  const expected = size * (size - 1) / 2
+  opCount.value = count
+  addStep(`✅ 冒泡排序完成，共 ${count} 次比较，理论值 n(n-1)/2 = ${expected}`)
+}
+
+// O(2ⁿ) — 递归斐波那契
+async function runExponential() {
+  const size = Math.min(n.value, 10) // 限制，防止浏览器卡死
+  addStep(`递归计算 Fibonacci(${size})，展示递归调用树`)
+  await sleep(400)
+
+  let count = 0
+  let callStack = []
+
+  function fib(k) {
+    count++
+    if (k <= 1) {
+      addStep(`  fib(${k}) = ${k} (基准情况)`)
+      return k
+    }
+    addStep(`  fib(${k}) = fib(${k - 1}) + fib(${k - 2})`)
+    const a = fib(k - 1)
+    const b = fib(k - 2)
+    const result = a + b
+    addStep(`  fib(${k}) = ${a} + ${b} = ${result}`)
+    return result
+  }
+
+  const result = fib(size)
+  const expected = Math.pow(2, size)
+  opCount.value = count
+  addStep(`✅ Fibonacci(${size}) = ${result}，递归调用 ${count} 次，理论 O(2ⁿ) ≈ ${expected}`)
+}
+
+// 单步前进
+function stepForward() {
+  if (stepIndex.value < totalSteps.value - 1) {
+    stepIndex.value++
+    scrollToLogBottom()
+  }
+}
+
+// 对比图表数据
+const chartData = computed(() => {
+  const currentN = n.value
+  const items = [
+    { label: 'O(1)', count: 1, color: '#22c55e' },
+    { label: 'O(log n)', count: Math.ceil(Math.log2(currentN)), color: '#3b82f6' },
+    { label: 'O(n)', count: currentN, color: '#f59e0b' },
+    { label: 'O(n log n)', count: Math.ceil(currentN * Math.log2(currentN)), color: '#f97316' },
+    { label: 'O(n²)', count: currentN * currentN, color: '#ef4444' },
+    { label: 'O(2ⁿ)', count: Math.min(Math.pow(2, currentN), 999999), color: '#dc2626' }
+  ]
+  const maxCount = Math.max(...items.map(i => i.count), 1)
+  return items.map(item => ({
+    ...item,
+    percent: Math.min((item.count / maxCount) * 100, 100)
+  }))
+})
+</script>
+
+<style scoped>
+.complexity-demo {
+  max-width: 1000px;
+  margin: 0 auto;
+  padding: 0 24px;
+}
+
+.demo-header {
+  display: flex;
+  gap: 16px;
+  align-items: flex-start;
+  padding: 28px 0 20px;
+  border-bottom: 1px solid var(--border-color);
+  margin-bottom: 24px;
+}
+
+.demo-icon {
+  font-size: 40px;
+  flex-shrink: 0;
+}
+
+.demo-title {
+  font-size: 26px;
+  font-weight: 800;
+  color: var(--text-primary);
+  margin-bottom: 4px;
+}
+
+.demo-subtitle {
+  font-size: 14px;
+  color: var(--text-secondary);
+}
+
+/* 控制面板 */
+.ctrl-section {
+  background: var(--card-bg);
+  border: 1px solid var(--border-color);
+  border-radius: 12px;
+  padding: 20px;
+  margin-bottom: 24px;
+}
+
+.ctrl-row {
+  display: flex;
+  align-items: center;
+  gap: 12px;
+  margin-bottom: 14px;
+}
+
+.ctrl-label {
+  font-size: 14px;
+  font-weight: 600;
+  color: var(--text-primary);
+  min-width: 100px;
+}
+
+.n-slider {
+  flex: 1;
+  max-width: 300px;
+  accent-color: var(--primary-color);
+}
+
+.n-value {
+  font-family: var(--mono);
+  font-size: 18px;
+  font-weight: 700;
+  color: var(--primary-color);
+  min-width: 40px;
+}
+
+.algo-select {
+  padding: 8px 12px;
+  border-radius: 8px;
+  border: 1px solid var(--border-color);
+  background: var(--bg);
+  color: var(--text-primary);
+  font-size: 14px;
+  flex: 1;
+  max-width: 400px;
+  cursor: pointer;
+}
+
+.ctrl-actions {
+  display: flex;
+  gap: 10px;
+}
+
+.ctrl-btn {
+  padding: 8px 20px;
+  border-radius: 8px;
+  border: 1px solid var(--border-color);
+  background: var(--bg);
+  color: var(--text-primary);
+  font-size: 14px;
+  font-weight: 600;
+  cursor: pointer;
+  transition: all 0.15s;
+}
+
+.ctrl-btn:hover:not(:disabled) {
+  background: var(--hover-bg);
+  border-color: var(--primary-color);
+}
+
+.ctrl-btn:disabled {
+  opacity: 0.5;
+  cursor: not-allowed;
+}
+
+.ctrl-btn:first-child {
+  background: var(--primary-color);
+  color: white;
+  border-color: var(--primary-color);
+}
+
+.ctrl-btn:first-child:hover:not(:disabled) {
+  opacity: 0.9;
+}
+
+/* 算法说明 */
+.info-section {
+  margin-bottom: 24px;
+}
+
+.algo-info-card {
+  background: var(--card-bg);
+  border: 1px solid var(--border-color);
+  border-radius: 12px;
+  padding: 20px;
+}
+
+.algo-info-card h3 {
+  font-size: 18px;
+  font-weight: 700;
+  color: var(--text-primary);
+  margin-bottom: 10px;
+}
+
+.complexity-badges {
+  display: flex;
+  gap: 10px;
+  margin-bottom: 12px;
+}
+
+.badge {
+  font-size: 13px;
+  font-weight: 600;
+  padding: 4px 12px;
+  border-radius: 6px;
+}
+
+.time-badge {
+  background: #eff6ff;
+  color: #2563eb;
+}
+
+.space-badge {
+  background: #f0fdf4;
+  color: #16a34a;
+}
+
+.algo-info-card p {
+  font-size: 14px;
+  color: var(--text-secondary);
+  line-height: 1.6;
+  margin-bottom: 10px;
+}
+
+.op-count {
+  font-size: 15px;
+  color: var(--text-primary);
+  padding: 8px 14px;
+  background: var(--hover-bg);
+  border-radius: 8px;
+}
+
+.op-formula {
+  font-family: var(--mono);
+  font-size: 13px;
+  color: var(--text-tertiary);
+  margin-left: 8px;
+}
+
+/* 可视化区域 */
+.visualization-area {
+  display: flex;
+  flex-direction: column;
+  gap: 20px;
+}
+
+.array-display {
+  background: var(--card-bg);
+  border: 1px solid var(--border-color);
+  border-radius: 12px;
+  padding: 20px;
+}
+
+.array-label {
+  font-size: 13px;
+  font-weight: 600;
+  color: var(--text-secondary);
+  margin-bottom: 12px;
+}
+
+.array-bars {
+  display: flex;
+  align-items: flex-end;
+  gap: 3px;
+  min-height: 220px;
+}
+
+.array-bar-wrapper {
+  flex: 1;
+  display: flex;
+  align-items: flex-end;
+  justify-content: center;
+  min-width: 12px;
+}
+
+.array-bar {
+  width: 100%;
+  background: var(--primary-color);
+  border-radius: 4px 4px 0 0;
+  transition: all 0.3s ease;
+  display: flex;
+  align-items: flex-end;
+  justify-content: center;
+  min-height: 20px;
+}
+
+.bar-val {
+  font-size: 10px;
+  color: white;
+  font-weight: 600;
+  padding: 2px 0;
+}
+
+.bar-current {
+  background: #f59e0b;
+}
+
+.bar-comparing {
+  background: #60a5fa;
+}
+
+.bar-sorted {
+  background: #22c55e;
+}
+
+/* 步骤日志 */
+.step-log {
+  background: var(--card-bg);
+  border: 1px solid var(--border-color);
+  border-radius: 12px;
+  overflow: hidden;
+}
+
+.log-header {
+  padding: 12px 16px;
+  font-size: 14px;
+  font-weight: 700;
+  color: var(--text-primary);
+  border-bottom: 1px solid var(--border-color);
+  background: var(--hover-bg);
+}
+
+.log-body {
+  max-height: 300px;
+  overflow-y: auto;
+  padding: 8px 0;
+}
+
+.log-line {
+  padding: 5px 16px;
+  font-size: 13px;
+  font-family: var(--mono);
+  color: var(--text-tertiary);
+  line-height: 1.5;
+  border-left: 3px solid transparent;
+}
+
+.log-line.current {
+  color: var(--text-primary);
+  background: var(--active-bg);
+  border-left-color: var(--primary-color);
+}
+
+.log-line.done {
+  color: var(--text-secondary);
+}
+
+.log-step-num {
+  display: inline-block;
+  min-width: 28px;
+  color: var(--text-tertiary);
+  font-size: 11px;
+}
+
+/* 对比图表 */
+.chart-section {
+  background: var(--card-bg);
+  border: 1px solid var(--border-color);
+  border-radius: 12px;
+  padding: 20px;
+}
+
+.chart-header {
+  font-size: 16px;
+  font-weight: 700;
+  color: var(--text-primary);
+  margin-bottom: 16px;
+}
+
+.chart-canvas {
+  display: flex;
+  flex-direction: column;
+  gap: 10px;
+}
+
+.chart-row {
+  display: flex;
+  align-items: center;
+  gap: 12px;
+}
+
+.chart-label {
+  min-width: 90px;
+  font-size: 13px;
+  font-weight: 600;
+  font-family: var(--mono);
+  color: var(--text-primary);
+}
+
+.chart-bar-track {
+  flex: 1;
+  height: 28px;
+  background: var(--hover-bg);
+  border-radius: 6px;
+  overflow: hidden;
+}
+
+.chart-bar {
+  height: 100%;
+  border-radius: 6px;
+  display: flex;
+  align-items: center;
+  padding-left: 8px;
+  transition: width 0.5s ease;
+  min-width: fit-content;
+}
+
+.chart-bar-text {
+  font-size: 12px;
+  font-weight: 600;
+  color: white;
+  white-space: nowrap;
+}
+
+.nav-back {
+  margin: 32px 0;
+}
+
+.back-link {
+  display: inline-block;
+  color: var(--primary-color);
+  text-decoration: none;
+  font-weight: 600;
+  font-size: 14px;
+}
+
+.back-link:hover {
+  text-decoration: underline;
+}
+
+@media (prefers-color-scheme: dark) {
+  .time-badge { background: #1e3a5f; color: #60a5fa; }
+  .space-badge { background: #14532d; color: #4ade80; }
+}
+</style>
@@ -8,7 +8,7 @@ export default defineConfig({
    port: 1025,
    proxy: {
      '/api': {
-        target: 'http://localhost:3001',
+        target: 'http://localhost:3002',
        changeOrigin: true,
      },
    },