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## 11.5.4 基准数优化
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**快速排序在某些输入下的时间效率可能降低**。举一个极端例子，假设输入数组是完全倒序的，由于我们选择最左端元素作为基准数，那么在哨兵划分完成后，基准数被交换至数组最右端，导致左子数组长度为 $n - 1$、右子数组长度为 $0$ 。如此递归下去，每轮哨兵划分后的右子数组长度都为 $0$ ，分治策略失效，快速排序退化为“冒泡排序”。
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**快速排序在某些输入下的时间效率可能降低**。举一个极端例子，假设输入数组是完全倒序的，由于我们选择最左端元素作为基准数，那么在哨兵划分完成后，基准数被交换至数组最右端，导致左子数组长度为 $n - 1$、右子数组长度为 $0$ 。如此递归下去，每轮哨兵划分后都有一个子数组的长度为 $0$ ，分治策略失效，快速排序退化为“冒泡排序”的近似形式。
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为了尽量避免这种情况发生，**我们可以优化哨兵划分中的基准数的选取策略**。例如，我们可以随机选取一个元素作为基准数。然而，如果运气不佳，每次都选到不理想的基准数，效率仍然不尽如人意。
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docs/index.md
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docs/index.md
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@ -14,41 +14,109 @@ hide:
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动画图解、一键运行的数据结构与算法教程
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||||
style="height: 14.127%; left: 23.132%; top: 75.803%;">
|
||||
<p class="hero-caption" style="left: 21.619%; top: 86.85%;">贪心</p>
|
||||
</a>
|
||||
</div>
|
||||
</section>
|
||||
|
||||
<!-- Section: brief introduction -->
|
||||
|
|
@ -177,6 +167,18 @@ hide:
|
|||
<img class="device-on-hover" src="assets/hero/web_iphone.png" style="height: 57.27%; left: 2%; bottom: 0%;">
|
||||
</div>
|
||||
<p style="margin-top: 2em;">提供网页版和 PDF 版，兼容 PC、平板和手机，随时随地阅读</p>
|
||||
<div class="text-button-container">
|
||||
<a href="https://github.com/krahets/hello-algo/releases">
|
||||
<div class="text-button">
|
||||
<p>下载 PDF</p>
|
||||
<svg xmlns="http://www.w3.org/2000/svg"
|
||||
viewBox="0 0 320 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2024 Fonticons, Inc.-->
|
||||
<path
|
||||
d="M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z" />
|
||||
</svg>
|
||||
</div>
|
||||
</a>
|
||||
</div>
|
||||
</div>
|
||||
</section>
|
||||
|
||||
|
|
|
|||
|
|
@ -112,6 +112,11 @@
|
|||
text-transform: none;
|
||||
}
|
||||
|
||||
.md-typeset a:hover {
|
||||
color: var(--md-typeset-a-color);
|
||||
text-decoration: underline;
|
||||
}
|
||||
|
||||
.md-typeset code {
|
||||
border-radius: 0.2rem;
|
||||
}
|
||||
|
|
@ -150,34 +155,6 @@ body {
|
|||
width: 100%; /* Default to full width */
|
||||
}
|
||||
|
||||
/* rounded button */
|
||||
.rounded-button {
|
||||
display: inline-flex; /* Use flexbox for alignment */
|
||||
align-items: center; /* Align items vertically */
|
||||
justify-content: center; /* Center items horizontally */
|
||||
border-radius: 100px; /* Circular corners */
|
||||
padding: 9px 18px; /* Padding around the text */
|
||||
margin: 0.15em 0;
|
||||
border: none; /* Removes default border */
|
||||
background-color: var(--md-typeset-btn-color); /* Background color */
|
||||
color: var(--md-primary-fg-color) !important; /* Text color */
|
||||
font-size: 0.85em; /* Font size */
|
||||
text-align: center; /* Center the text */
|
||||
text-decoration: none; /* Remove underline from anchor text */
|
||||
cursor: pointer; /* Pointer cursor on hover */
|
||||
}
|
||||
|
||||
.rounded-button:hover {
|
||||
background-color: var(--md-typeset-btn-hover-color);
|
||||
}
|
||||
|
||||
.rounded-button svg {
|
||||
fill: var(--md-primary-fg-color); /* Fill SVG icon with text color */
|
||||
width: 1.2em;
|
||||
height: auto;
|
||||
margin-right: 0.5em; /* Add some space between the SVG icon and the text */
|
||||
}
|
||||
|
||||
/* Admonition for python tutor */
|
||||
.md-typeset .admonition.pythontutor,
|
||||
.md-typeset details.pythontutor {
|
||||
|
|
@ -237,10 +214,69 @@ body {
|
|||
max-width: 70vw;
|
||||
}
|
||||
|
||||
.hero-btn {
|
||||
/* rounded button */
|
||||
.rounded-button {
|
||||
display: inline-flex;
|
||||
align-items: center;
|
||||
justify-content: center;
|
||||
border-radius: 10em;
|
||||
margin: 0 0.1em;
|
||||
padding: 0.5em 1.3em;
|
||||
font-size: 0.85em;
|
||||
border: none;
|
||||
background-color: var(--md-typeset-btn-color);
|
||||
color: var(--md-primary-fg-color) !important;
|
||||
text-align: center;
|
||||
text-decoration: none;
|
||||
cursor: pointer;
|
||||
}
|
||||
|
||||
.rounded-button:hover {
|
||||
background-color: var(--md-typeset-btn-hover-color);
|
||||
}
|
||||
|
||||
.rounded-button p {
|
||||
margin: 0;
|
||||
margin-bottom: 0.1em;
|
||||
}
|
||||
|
||||
.rounded-button svg {
|
||||
fill: var(--md-primary-fg-color);
|
||||
width: auto;
|
||||
height: 1.2em;
|
||||
margin-right: 0.5em;
|
||||
}
|
||||
|
||||
/* text button */
|
||||
.text-button-container {
|
||||
width: 100%;
|
||||
display: flex;
|
||||
flex-direction: row;
|
||||
justify-content: center;
|
||||
height: auto;
|
||||
margin: 0 auto;
|
||||
}
|
||||
|
||||
.text-button {
|
||||
display: flex;
|
||||
flex-direction: row;
|
||||
align-items: center;
|
||||
color: var(--md-typeset-btn-color);
|
||||
text-decoration: none;
|
||||
margin: 0 1em;
|
||||
}
|
||||
|
||||
.text-button:hover {
|
||||
text-decoration: underline;
|
||||
}
|
||||
|
||||
.text-button svg {
|
||||
display: inline-block;
|
||||
fill: var(--md-typeset-btn-color);
|
||||
width: auto;
|
||||
height: 0.9em;
|
||||
background-size: cover;
|
||||
padding-top: 0.17em;
|
||||
margin-left: 0.4em;
|
||||
}
|
||||
|
||||
/* hero image */
|
||||
|
|
@ -284,8 +320,8 @@ a:hover .hero-on-hover {
|
|||
}
|
||||
|
||||
a:hover .hero-caption {
|
||||
text-decoration: underline;
|
||||
color: var(--md-typeset-btn-color);
|
||||
font-weight: bold;
|
||||
}
|
||||
|
||||
/* code badge */
|
||||
|
|
|
|||
Loading…
Reference in a new issue