2026-01-16 19:10:21 +08:00
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<script setup>
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import { ref, computed } from 'vue'
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const searchQuery = ref(55)
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const isSearching = ref(false)
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const scanCurrentIndex = ref(-1)
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const treeActiveNodes = ref([])
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const searchResult = ref(null)
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const mode = ref('scan') // 'scan' or 'index'
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const DATA_SIZE = 64
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const data = Array.from({ length: DATA_SIZE }, (_, i) => ({
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id: i + 1,
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value: `Data-${i + 1}`
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}))
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// Simplified Tree Search Simulation (Binary Search steps)
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const startSearch = async () => {
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if (isSearching.value) return
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isSearching.value = true
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scanCurrentIndex.value = -1
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treeActiveNodes.value = []
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searchResult.value = null
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const target = Number(searchQuery.value)
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if (mode.value === 'scan') {
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for (let i = 0; i < data.length; i++) {
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scanCurrentIndex.value = i
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await new Promise((r) => setTimeout(r, 30)) // 30ms per step
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if (data[i].id === target) {
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searchResult.value = data[i]
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break
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}
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}
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} else {
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// Tree Search Simulation (Binary Search steps)
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let start = 0
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let end = data.length - 1
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while (start <= end) {
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let mid = Math.floor((start + end) / 2)
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treeActiveNodes.value.push(mid) // Highlight the "node" we are checking
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await new Promise((r) => setTimeout(r, 400)) // Slower steps for tree to be visible
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if (data[mid].id === target) {
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searchResult.value = data[mid]
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break
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} else if (data[mid].id < target) {
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start = mid + 1
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} else {
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end = mid - 1
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}
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}
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}
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isSearching.value = false
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}
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</script>
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<template>
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2026-02-13 22:10:03 +08:00
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<div class="db-index-demo">
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<div class="demo-header">
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<span class="icon">🔍</span>
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<span class="title">索引查找演示</span>
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<span class="subtitle">全表扫描 vs 索引查找</span>
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</div>
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<div class="intro-text">
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想象你在<span class="highlight">图书馆</span>找一本叫"数据库原理"的书。如果没有目录,你得一排排书架找;有了索书号,直接去对应区域拿。数据库索引就像这个<span class="highlight">索书号</span>,让查找速度从"翻遍所有书"变成"直接定位"。
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</div>
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<div class="controls-area">
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<div class="input-group">
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<label>查找 ID:</label>
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2026-01-16 19:10:21 +08:00
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<el-input-number
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v-model="searchQuery"
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:min="1"
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:max="DATA_SIZE"
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size="small"
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2026-02-13 22:10:03 +08:00
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:disabled="isSearching"
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2026-01-16 19:10:21 +08:00
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/>
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</div>
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2026-02-13 22:10:03 +08:00
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<div class="mode-selector">
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<button
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class="mode-btn"
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:class="{ active: mode === 'scan' }"
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:disabled="isSearching"
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2026-02-18 17:38:10 +08:00
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@click="mode = 'scan'"
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2026-02-13 22:10:03 +08:00
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>
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🐢 全表扫描 O(n)
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</button>
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<button
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class="mode-btn"
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:class="{ active: mode === 'index' }"
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:disabled="isSearching"
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2026-02-18 17:38:10 +08:00
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@click="mode = 'index'"
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2026-02-13 22:10:03 +08:00
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>
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⚡ 索引查找 O(log n)
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</button>
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</div>
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<button
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class="search-btn"
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:disabled="isSearching"
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2026-02-18 17:38:10 +08:00
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@click="startSearch"
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2026-01-16 19:10:21 +08:00
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>
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2026-02-13 22:10:03 +08:00
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{{ isSearching ? '查找中...' : '开始查找' }}
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</button>
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2026-01-16 19:10:21 +08:00
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</div>
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<div class="visualization-area">
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<!-- Full Scan Visualization -->
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2026-02-18 17:38:10 +08:00
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<div
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v-if="mode === 'scan'"
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class="view-container scan-view"
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>
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2026-01-16 19:10:21 +08:00
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<div class="grid">
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<div
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v-for="(item, index) in data"
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:key="item.id"
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class="data-block"
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:class="{
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active: index === scanCurrentIndex,
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found: searchResult && searchResult.id === item.id,
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dimmed: scanCurrentIndex >= 0 && index > scanCurrentIndex
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2026-01-16 19:10:21 +08:00
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}"
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>
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{{ item.id }}
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</div>
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</div>
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2026-02-13 22:10:03 +08:00
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<p class="view-desc">
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全表扫描:数据库像<span class="highlight">逐个翻书架</span>一样,必须逐行检查数据,直到找到匹配项。数据越多,速度越慢。
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2026-01-16 19:10:21 +08:00
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</p>
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</div>
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<!-- Index Visualization -->
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2026-02-18 17:38:10 +08:00
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<div
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v-else
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class="view-container index-view"
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>
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2026-01-16 19:10:21 +08:00
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<div class="grid">
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<div
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v-for="(item, index) in data"
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:key="item.id"
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class="data-block tree-node"
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:class="{
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visited: treeActiveNodes.includes(index),
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found: searchResult && searchResult.id === item.id,
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2026-02-13 22:10:03 +08:00
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dimmed: treeActiveNodes.length > 0 && !treeActiveNodes.includes(index)
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2026-01-16 19:10:21 +08:00
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}"
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>
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{{ item.id }}
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</div>
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</div>
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2026-02-13 22:10:03 +08:00
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<p class="view-desc">
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索引查找:类似<span class="highlight">查字典</span>,通过二分查找或 B+ 树,每次比较都能排除掉一半(或更多)的数据,极快地定位目标。
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2026-01-16 19:10:21 +08:00
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</p>
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</div>
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</div>
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2026-02-18 17:38:10 +08:00
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<div
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v-if="!isSearching && searchResult"
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class="stats-box"
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>
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2026-01-16 19:10:21 +08:00
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<div class="stat-item">
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2026-02-13 22:10:03 +08:00
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<span class="stat-icon">🎯</span>
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<div class="stat-content">
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2026-02-18 17:38:10 +08:00
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<div class="stat-label">
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查找结果
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</div>
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<div class="stat-value">
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{{ searchResult.value }}
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</div>
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2026-02-13 22:10:03 +08:00
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</div>
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2026-01-16 19:10:21 +08:00
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</div>
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<div class="stat-item">
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2026-02-13 22:10:03 +08:00
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<span class="stat-icon">{{ mode === 'scan' ? '🐢' : '⚡' }}</span>
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<div class="stat-content">
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2026-02-18 17:38:10 +08:00
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<div class="stat-label">
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操作次数
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</div>
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<div
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class="stat-value"
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:class="mode"
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>
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2026-02-13 22:10:03 +08:00
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{{ mode === 'scan' ? scanCurrentIndex + 1 : treeActiveNodes.length }} 次
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</div>
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</div>
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2026-01-16 19:10:21 +08:00
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</div>
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</div>
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2026-02-13 22:10:03 +08:00
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<div class="info-box">
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<span class="icon">💡</span>
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<strong>核心思想:</strong>索引是用<span class="highlight">空间换时间</span>的经典案例。虽然需要额外空间存储索引结构,但能让查询速度提升成千上万倍。就像图书馆的目录卡片,虽占位置,但找书快太多了。
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</div>
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2026-01-16 19:10:21 +08:00
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</div>
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</template>
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<style scoped>
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2026-02-13 22:10:03 +08:00
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.db-index-demo {
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border: 1px solid var(--vp-c-divider);
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2026-02-14 20:23:34 +08:00
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border-radius: 6px;
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background: var(--vp-c-bg-soft);
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2026-02-14 20:23:34 +08:00
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padding: 0.75rem;
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margin: 0.5rem 0;
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}
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2026-02-13 22:10:03 +08:00
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.demo-header {
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display: flex;
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align-items: center;
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gap: 0.5rem;
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margin-bottom: 0.75rem;
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2026-01-16 19:10:21 +08:00
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}
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.demo-header .icon { font-size: 1.25rem; }
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.demo-header .title { font-weight: bold; font-size: 1rem; }
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.demo-header .subtitle { color: var(--vp-c-text-2); font-size: 0.85rem; margin-left: 0.5rem; }
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.intro-text {
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font-size: 0.9rem;
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color: var(--vp-c-text-2);
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line-height: 1.6;
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margin-bottom: 1rem;
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padding: 0.75rem;
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background: var(--vp-c-bg);
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border-radius: 6px;
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2026-01-16 19:10:21 +08:00
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}
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2026-02-13 22:10:03 +08:00
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.intro-text .highlight {
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color: var(--vp-c-brand-1);
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font-weight: 500;
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}
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.controls-area {
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background: var(--vp-c-bg);
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padding: 0.75rem;
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border-radius: 6px;
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margin-bottom: 1rem;
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2026-01-16 19:10:21 +08:00
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display: flex;
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flex-direction: column;
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gap: 0.75rem;
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}
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.input-group {
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display: flex;
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align-items: center;
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2026-02-13 22:10:03 +08:00
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gap: 0.5rem;
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}
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.input-group label {
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font-size: 0.85rem;
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color: var(--vp-c-text-2);
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font-weight: 500;
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}
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.mode-selector {
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display: grid;
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grid-template-columns: 1fr 1fr;
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gap: 0.5rem;
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2026-01-16 19:10:21 +08:00
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}
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2026-02-13 22:10:03 +08:00
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.mode-btn {
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padding: 0.5rem 0.75rem;
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background: var(--vp-c-bg-soft);
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border: 1px solid var(--vp-c-divider);
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border-radius: 6px;
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font-size: 0.8rem;
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|
|
|
|
|
cursor: pointer;
|
|
|
|
|
|
transition: all 0.2s;
|
|
|
|
|
|
color: var(--vp-c-text-1);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.mode-btn:hover:not(:disabled) {
|
|
|
|
|
|
background: var(--vp-c-bg-soft);
|
|
|
|
|
|
border-color: var(--vp-c-brand);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.mode-btn.active {
|
|
|
|
|
|
background: var(--vp-c-brand-soft);
|
|
|
|
|
|
border-color: var(--vp-c-brand);
|
|
|
|
|
|
color: var(--vp-c-brand-1);
|
|
|
|
|
|
font-weight: 500;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.mode-btn:disabled {
|
|
|
|
|
|
opacity: 0.5;
|
|
|
|
|
|
cursor: not-allowed;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.search-btn {
|
|
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|
|
|
width: 100%;
|
|
|
|
|
|
padding: 0.75rem;
|
|
|
|
|
|
background: var(--vp-c-brand);
|
|
|
|
|
|
color: white;
|
|
|
|
|
|
border: none;
|
|
|
|
|
|
border-radius: 6px;
|
|
|
|
|
|
font-size: 0.9rem;
|
|
|
|
|
|
font-weight: 500;
|
|
|
|
|
|
cursor: pointer;
|
|
|
|
|
|
transition: background 0.2s;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.search-btn:hover:not(:disabled) {
|
|
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|
|
background: var(--vp-c-brand-1);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.search-btn:disabled {
|
|
|
|
|
|
opacity: 0.6;
|
|
|
|
|
|
cursor: not-allowed;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.visualization-area {
|
|
|
|
|
|
background: var(--vp-c-bg);
|
|
|
|
|
|
padding: 0.75rem;
|
|
|
|
|
|
border-radius: 6px;
|
|
|
|
|
|
margin-bottom: 1rem;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.view-container {
|
|
|
|
|
|
max-height: 300px;
|
2026-02-14 20:23:34 +08:00
|
|
|
|
|
2026-02-13 22:10:03 +08:00
|
|
|
|
}
|
|
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.grid {
|
|
|
|
|
|
display: flex;
|
|
|
|
|
|
flex-wrap: wrap;
|
|
|
|
|
|
gap: 6px;
|
|
|
|
|
|
justify-content: center;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
margin-bottom: 0.75rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.data-block {
|
|
|
|
|
|
width: 32px;
|
|
|
|
|
|
height: 32px;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
background: var(--vp-c-bg-soft);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
display: flex;
|
|
|
|
|
|
align-items: center;
|
|
|
|
|
|
justify-content: center;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
font-size: 0.7rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
border-radius: 4px;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
color: var(--vp-c-text-2);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
transition: all 0.3s;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
border: 1px solid var(--vp-c-divider);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.data-block.active {
|
2026-02-13 22:10:03 +08:00
|
|
|
|
background: var(--vp-c-brand);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
color: white;
|
|
|
|
|
|
transform: scale(1.15);
|
2026-02-13 22:10:03 +08:00
|
|
|
|
box-shadow: 0 2px 8px rgba(37, 99, 235, 0.3);
|
|
|
|
|
|
border-color: var(--vp-c-brand);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
z-index: 1;
|
|
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.data-block.found {
|
2026-02-13 22:10:03 +08:00
|
|
|
|
background: #22c55e;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
color: white;
|
|
|
|
|
|
transform: scale(1.2);
|
2026-02-13 22:10:03 +08:00
|
|
|
|
box-shadow: 0 0 12px rgba(34, 197, 94, 0.5);
|
|
|
|
|
|
border-color: #22c55e;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
z-index: 2;
|
|
|
|
|
|
font-weight: bold;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
2026-02-13 22:10:03 +08:00
|
|
|
|
.data-block.dimmed {
|
|
|
|
|
|
opacity: 0.2;
|
|
|
|
|
|
filter: grayscale(100%);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.tree-node.visited {
|
2026-02-13 22:10:03 +08:00
|
|
|
|
background: #f59e0b;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
color: white;
|
|
|
|
|
|
transform: scale(1.1);
|
2026-02-13 22:10:03 +08:00
|
|
|
|
box-shadow: 0 2px 8px rgba(245, 158, 11, 0.4);
|
2026-01-16 19:10:21 +08:00
|
|
|
|
z-index: 1;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
2026-02-13 22:10:03 +08:00
|
|
|
|
.view-desc {
|
2026-01-16 19:10:21 +08:00
|
|
|
|
text-align: center;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
font-size: 0.8rem;
|
|
|
|
|
|
color: var(--vp-c-text-2);
|
|
|
|
|
|
line-height: 1.5;
|
|
|
|
|
|
margin: 0;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
|
|
|
|
|
|
2026-02-13 22:10:03 +08:00
|
|
|
|
.view-desc .highlight {
|
|
|
|
|
|
color: var(--vp-c-brand-1);
|
|
|
|
|
|
font-weight: 500;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.stats-box {
|
|
|
|
|
|
display: grid;
|
|
|
|
|
|
grid-template-columns: 1fr 1fr;
|
|
|
|
|
|
gap: 0.75rem;
|
|
|
|
|
|
margin-bottom: 1rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
2026-01-16 19:10:21 +08:00
|
|
|
|
.stat-item {
|
2026-02-13 22:10:03 +08:00
|
|
|
|
background: var(--vp-c-bg);
|
|
|
|
|
|
padding: 0.75rem;
|
|
|
|
|
|
border-radius: 6px;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
display: flex;
|
|
|
|
|
|
align-items: center;
|
2026-02-13 22:10:03 +08:00
|
|
|
|
gap: 0.75rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
|
|
|
|
|
.stat-icon {
|
|
|
|
|
|
font-size: 1.5rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
|
|
|
|
|
.stat-content {
|
|
|
|
|
|
flex: 1;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.stat-label {
|
|
|
|
|
|
font-size: 0.7rem;
|
|
|
|
|
|
color: var(--vp-c-text-3);
|
|
|
|
|
|
margin-bottom: 0.25rem;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
2026-02-13 22:10:03 +08:00
|
|
|
|
|
|
|
|
|
|
.stat-value {
|
|
|
|
|
|
font-size: 1rem;
|
|
|
|
|
|
font-weight: 600;
|
|
|
|
|
|
color: var(--vp-c-text-1);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.stat-value.scan {
|
|
|
|
|
|
color: #ef4444;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.stat-value:not(.scan) {
|
|
|
|
|
|
color: #22c55e;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.info-box {
|
|
|
|
|
|
background: var(--vp-c-bg-alt);
|
|
|
|
|
|
padding: 0.75rem;
|
|
|
|
|
|
border-radius: 6px;
|
|
|
|
|
|
font-size: 0.85rem;
|
|
|
|
|
|
color: var(--vp-c-text-2);
|
|
|
|
|
|
line-height: 1.5;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
.info-box .icon { margin-right: 0.25rem; }
|
|
|
|
|
|
|
|
|
|
|
|
.info-box .highlight {
|
|
|
|
|
|
color: var(--vp-c-brand-1);
|
|
|
|
|
|
font-weight: 500;
|
2026-01-16 19:10:21 +08:00
|
|
|
|
}
|
|
|
|
|
|
</style>
|