392 lines
8.4 KiB
Vue
392 lines
8.4 KiB
Vue
<template>
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<div class="search-algorithm-demo">
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<div class="demo-header">
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<span class="title">查找算法</span>
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<span class="subtitle">如何在数据中找到目标</span>
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</div>
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<div class="algorithm-selector">
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<button
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:class="['algo-btn', { active: activeAlgo === 'linear' }]"
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@click="activeAlgo = 'linear'"
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>
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顺序查找
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</button>
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<button
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:class="['algo-btn', { active: activeAlgo === 'binary' }]"
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@click="activeAlgo = 'binary'"
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>
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二分查找
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</button>
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</div>
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<!-- 顺序查找 -->
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<div v-if="activeAlgo === 'linear'" class="algo-content">
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<div class="content-title">顺序查找:一个一个找</div>
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<div class="linear-demo">
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<div class="search-array">
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<div
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v-for="(num, index) in numbers"
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:key="index"
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:class="[
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'array-cell',
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{
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found: index === foundIndex,
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searching: index <= searchStep && searching
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}
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]"
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>
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{{ num }}
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</div>
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</div>
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<div class="search-controls">
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<button class="search-btn" @click="startLinearSearch">
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开始查找
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</button>
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<button class="reset-btn" @click="reset">重置</button>
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</div>
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<div class="search-info">
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目标数字:<input
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v-model="targetNumber"
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type="number"
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class="target-input"
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/>
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</div>
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</div>
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<div class="algo-stats">
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<div class="stat-item">时间复杂度:O(n)</div>
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<div class="stat-item">适用:无序数组</div>
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</div>
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</div>
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<!-- 二分查找 -->
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<div v-if="activeAlgo === 'binary'" class="algo-content">
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<div class="content-title">二分查找:每次排除一半</div>
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<div class="binary-demo">
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<div class="sorted-array">
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<div
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v-for="(num, index) in sortedNumbers"
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:key="index"
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:class="[
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'array-cell',
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{
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found: index === binaryFoundIndex,
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left: index >= binaryLeft && index <= binaryRight,
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eliminated: index < binaryLeft || index > binaryRight
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}
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]"
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>
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{{ num }}
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</div>
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</div>
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<div class="binary-info">
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<div class="info-step">
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查找范围:[{{ binaryLeft }}, {{ binaryRight }}]
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</div>
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<div class="info-mid">中间位置:{{ binaryMid }}</div>
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<div class="info-comparison">
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{{ sortedNumbers[binaryMid] }} vs {{ binaryTarget }}
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</div>
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</div>
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<div class="search-controls">
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<button class="search-btn" @click="binaryStep">下一步</button>
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<button class="reset-btn" @click="resetBinary">重置</button>
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</div>
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</div>
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<div class="algo-stats">
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<div class="stat-item">时间复杂度:O(log n)</div>
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<div class="stat-item">适用:有序数组</div>
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</div>
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</div>
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<!-- 对比 -->
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<div class="comparison">
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<div class="comparison-title">性能对比</div>
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<table class="comparison-table">
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<thead>
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<tr>
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<th>数据量</th>
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<th>顺序查找</th>
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<th>二分查找</th>
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</tr>
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</thead>
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<tbody>
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<tr v-for="n in [10, 100, 1000, 10000]" :key="n">
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<td>{{ n }}</td>
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<td>最多 {{ n }} 次</td>
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<td>最多 {{ Math.ceil(Math.log2(n)) }} 次</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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</template>
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<script setup>
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import { ref } from 'vue'
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const activeAlgo = ref('linear')
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const targetNumber = ref(7)
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const foundIndex = ref(-1)
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const searchStep = ref(-1)
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const searching = ref(false)
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const numbers = ref([3, 7, 2, 9, 5, 1, 8, 4, 6, 10])
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const sortedNumbers = ref([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
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const binaryTarget = ref(7)
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const binaryLeft = ref(0)
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const binaryRight = ref(9)
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const binaryMid = ref(4)
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const binaryFoundIndex = ref(-1)
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const startLinearSearch = () => {
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searching.value = true
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searchStep.value = -1
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foundIndex.value = -1
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let step = 0
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const interval = setInterval(() => {
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if (step < numbers.value.length) {
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searchStep.value = step
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if (numbers.value[step] === targetNumber.value) {
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foundIndex.value = step
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searching.value = false
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clearInterval(interval)
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}
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step++
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} else {
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searching.value = false
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clearInterval(interval)
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}
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}, 500)
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}
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const reset = () => {
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searchStep.value = -1
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foundIndex.value = -1
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searching.value = false
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}
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const binaryStep = () => {
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binaryMid.value = Math.floor((binaryLeft.value + binaryRight.value) / 2)
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if (sortedNumbers.value[binaryMid.value] === binaryTarget.value) {
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binaryFoundIndex.value = binaryMid.value
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} else if (sortedNumbers.value[binaryMid.value] < binaryTarget.value) {
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binaryLeft.value = binaryMid.value + 1
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} else {
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binaryRight.value = binaryMid.value - 1
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}
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}
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const resetBinary = () => {
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binaryLeft.value = 0
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binaryRight.value = 9
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binaryMid.value = 4
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binaryFoundIndex.value = -1
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}
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</script>
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<style scoped>
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.search-algorithm-demo {
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border: 1px solid var(--vp-c-divider);
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background: var(--vp-c-bg-soft);
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border-radius: 12px;
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padding: 1.5rem;
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margin: 1.5rem 0;
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}
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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: 1.5rem;
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}
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.demo-header .title {
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font-weight: 700;
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font-size: 1.1rem;
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}
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.demo-header .subtitle {
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color: var(--vp-c-text-2);
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font-size: 0.9rem;
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}
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.algorithm-selector {
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display: flex;
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gap: 1rem;
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margin-bottom: 2rem;
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}
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.algo-btn {
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flex: 1;
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padding: 0.75rem;
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background: var(--vp-c-bg);
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border: 2px solid var(--vp-c-divider);
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border-radius: 6px;
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font-size: 0.9rem;
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cursor: pointer;
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transition: all 0.3s;
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}
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.algo-btn.active {
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background: var(--vp-c-brand);
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border-color: var(--vp-c-brand);
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color: white;
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}
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.algo-content {
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background: var(--vp-c-bg);
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border: 1px solid var(--vp-c-divider);
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border-radius: 8px;
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padding: 1.5rem;
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margin-bottom: 2rem;
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}
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.content-title {
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font-weight: 600;
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font-size: 1rem;
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margin-bottom: 1.5rem;
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text-align: center;
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color: var(--vp-c-brand);
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}
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.search-array,
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.sorted-array {
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display: flex;
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gap: 0.5rem;
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margin-bottom: 1.5rem;
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flex-wrap: wrap;
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}
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.array-cell {
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width: 50px;
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height: 50px;
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display: flex;
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align-items: center;
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justify-content: center;
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background: var(--vp-c-bg-soft);
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border: 2px solid var(--vp-c-divider);
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border-radius: 6px;
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font-weight: 600;
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font-size: 1rem;
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}
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.array-cell.searching {
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border-color: #f59e0b;
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background: rgba(245, 158, 11, 0.1);
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}
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.array-cell.found {
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border-color: #10b981;
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background: #10b981;
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color: white;
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}
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.array-cell.left {
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border-color: var(--vp-c-brand);
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background: var(--vp-c-brand-soft);
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}
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.array-cell.eliminated {
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opacity: 0.3;
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}
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.search-controls {
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display: flex;
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gap: 1rem;
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justify-content: center;
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margin-bottom: 1.5rem;
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}
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.search-btn {
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padding: 0.6rem 1.25rem;
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background: var(--vp-c-brand);
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color: white;
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border: none;
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border-radius: 6px;
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font-size: 0.9rem;
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cursor: pointer;
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}
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.reset-btn {
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padding: 0.6rem 1.25rem;
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background: var(--vp-c-divider);
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border: none;
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border-radius: 6px;
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font-size: 0.9rem;
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cursor: pointer;
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}
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.search-info {
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text-align: center;
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margin-bottom: 1rem;
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}
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.target-input {
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width: 60px;
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padding: 0.5rem;
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border: 1px solid var(--vp-c-divider);
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border-radius: 4px;
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text-align: center;
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font-size: 0.9rem;
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}
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.binary-info {
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text-align: center;
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margin-bottom: 1.5rem;
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}
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.info-step,
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.info-mid,
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.info-comparison {
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font-size: 0.9rem;
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margin-bottom: 0.5rem;
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}
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.algo-stats {
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display: flex;
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gap: 1rem;
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justify-content: center;
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padding-top: 1rem;
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border-top: 1px solid var(--vp-c-divider);
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}
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.stat-item {
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font-size: 0.85rem;
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color: var(--vp-c-text-2);
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}
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.comparison {
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margin-top: 2rem;
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}
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.comparison-title {
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font-weight: 600;
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font-size: 1rem;
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margin-bottom: 1rem;
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color: var(--vp-c-brand);
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}
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.comparison-table {
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width: 100%;
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border-collapse: collapse;
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}
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.comparison-table th {
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background: var(--vp-c-brand);
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color: white;
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padding: 0.75rem;
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text-align: center;
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font-size: 0.85rem;
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}
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.comparison-table td {
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padding: 0.75rem;
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border-bottom: 1px solid var(--vp-c-divider);
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text-align: center;
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font-size: 0.85rem;
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}
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</style>
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