Some bug fixes and improvements (#1063)

* Prevent the line breaks of buttons on Safari

* Fix a math symbol

* Small improvements

* Bug fixes and improvements.

docs-en/index.md

@@ -108,7 +108,7 @@ hide:
 </div>
 
 <div class="admonition quote">
-  <p align="center">"Knowledge increases by sharing."</p>
+  <p align="center">"Learning by teaching."</p>
 </div>
 
 ---

docs/chapter_computational_complexity/space_complexity.md

@@ -772,7 +772,7 @@ $$
 
 对数阶常见于分治算法。例如归并排序，输入长度为 $n$ 的数组，每轮递归将数组从中点处划分为两半，形成高度为 $\log n$ 的递归树，使用 $O(\log n)$ 栈帧空间。
 
-再例如将数字转化为字符串，输入一个正整数 $n$ ，它的位数为 $\lfloor \log_{10} n \rfloor + 1$ ，即对应字符串长度为 $\lfloor \log_{10} n \rfloor + 1$ ，因此空间复杂度为 $O(\lfloor \log_{10} n \rfloor + 1) = O(\log n)$ 。
+再例如将数字转化为字符串，输入一个正整数 $n$ ，它的位数为 $\lfloor \log_{10} n \rfloor + 1$ ，即对应字符串长度为 $\lfloor \log_{10} n \rfloor + 1$ ，因此空间复杂度为 $O(\log_{10} n + 1) = O(\log n)$ 。
 
 ## 权衡时间与空间
 

docs/chapter_sorting/insertion_sort.md

@@ -35,7 +35,7 @@
 
 插入排序的时间复杂度为 $O(n^2)$ ，而我们即将学习的快速排序的时间复杂度为 $O(n \log n)$ 。尽管插入排序的时间复杂度更高，**但在数据量较小的情况下，插入排序通常更快**。
 
-这个结论与线性查找和二分查找的适用情况的结论类似。快速排序这类 $O(n \log n)$ 的算法属于基于分治策略的排序算法，往往包含更多单元计算操作。而在数据量较小时，$n^2$ 和 $n \log n$ 的数值比较接近，复杂度不占主导地位；每轮中的单元操作数量起到决定性作用。
+这个结论与线性查找和二分查找的适用情况的结论类似。快速排序这类 $O(n \log n)$ 的算法属于基于分治策略的排序算法，往往包含更多单元计算操作。而在数据量较小时，$n^2$ 和 $n \log n$ 的数值比较接近，复杂度不占主导地位，每轮中的单元操作数量起到决定性作用。
 
 实际上，许多编程语言（例如 Java）的内置排序函数采用了插入排序，大致思路为：对于长数组，采用基于分治策略的排序算法，例如快速排序；对于短数组，直接使用插入排序。
 

docs/index.md

@@ -23,91 +23,91 @@ hide:
       style="position: absolute; width: auto; height: 78.751%; left: 10.545%; top: 7.326%;">
     <a href="/chapter_introduction/">
       <img class="hero-on-hover" src="assets/hero/astronaut.png" style="height: 46.673%; left: 35.413%; top: 24.343%;">
-      <p class="hero-caption" style="left: 52.244%; top: 20.919%;">初识算法</p>
+      <span class="hero-caption" style="left: 52.244%; top: 20.919%;">初识算法</span>
     </a>
     <a href="/chapter_computational_complexity/">
       <img class="hero-on-hover" src="assets/hero/chapter_computational_complexity.png"
         style="height: 12.347%; left: 36.267%; top: 37.653%;">
-      <p class="hero-caption" style="left: 39.244%; top: 33.919%;">复杂度</p>
+      <span class="hero-caption" style="left: 39.244%; top: 33.919%;">复杂度</span>
     </a>
     <a href="/chapter_array_and_linkedlist/">
       <img class="hero-on-hover" src="assets/hero/chapter_array_and_linkedlist.png"
         style="height: 22.242%; left: 73.242%; top: 52.481%;">
-      <p class="hero-caption" style="left: 90.897%; top: 76.259%;">数组与链表</p>
+      <span class="hero-caption" style="left: 90.897%; top: 76.259%;">数组与链表</span>
     </a>
     <a href="/chapter_stack_and_queue/">
       <img class="hero-on-hover" src="assets/hero/chapter_stack_and_queue.png"
         style="height: 14.302%; left: 62.646%; top: 77.875%;">
-      <p class="hero-caption" style="left: 78.371%; top: 90.25%;">栈与队列</p>
+      <span class="hero-caption" style="left: 77.571%; top: 91.25%;">栈与队列</span>
     </a>
     <a href="/chapter_hashing/">
       <img class="hero-on-hover" src="assets/hero/chapter_hashing.png"
         style="height: 15.266%; left: 63.281%; top: 27.933%;">
-      <p class="hero-caption" style="left: 68.862%; top: 46.292%;">哈希表</p>
+      <span class="hero-caption" style="left: 68.862%; top: 46.292%;">哈希表</span>
     </a>
     <a href="/chapter_tree/">
       <img class="hero-on-hover" src="assets/hero/chapter_tree.png"
         style="height: 19.615%; left: 80.137%; top: 26.678%;">
-      <p class="hero-caption" style="left: 96.159%; top: 44.8%;">树</p>
+      <span class="hero-caption" style="left: 96.159%; top: 44.8%;">树</span>
     </a>
     <a href="/chapter_heap/">
       <img class="hero-on-hover" src="assets/hero/chapter_heap.png"
         style="height: 10.566%; left: 77.226%; top: 11.559%;">
-      <p class="hero-caption" style="left: 88.103%; top: 15.422%;">堆</p>
+      <span class="hero-caption" style="left: 88.103%; top: 15.422%;">堆</span>
     </a>
     <a href="/chapter_graph/">
       <img class="hero-on-hover" src="assets/hero/chapter_graph.png"
         style="height: 16.112%; left: 51.854%; top: 5.575%;">
-      <p class="hero-caption" style="left: 71.195%; top: 6.503%;">图</p>
+      <span class="hero-caption" style="left: 71.195%; top: 6.503%;">图</span>
     </a>
     <a href="/chapter_searching/">
       <img class="hero-on-hover" src="assets/hero/chapter_searching.png"
         style="height: 15.149%; left: 18.185%; top: 16.404%;">
-      <p class="hero-caption" style="left: 14.556%; top: 20.876%;">搜索</p>
+      <span class="hero-caption" style="left: 14.556%; top: 20.876%;">搜索</span>
     </a>
     <a href="/chapter_sorting/">
       <img class="hero-on-hover" src="assets/hero/chapter_sorting.png"
         style="height: 9.574%; left: 25.409%; top: 40.747%;">
-      <p class="hero-caption" style="left: 28.805%; top: 53.808%;">排序</p>
+      <span class="hero-caption" style="left: 28.805%; top: 53.808%;">排序</span>
     </a>
     <a href="/chapter_divide_and_conquer/">
       <img class="hero-on-hover" src="assets/hero/chapter_divide_and_conquer.png"
         style="height: 18.681%; left: 32.721%; top: 4.816%;">
-      <p class="hero-caption" style="left: 31.42%; top: 8.679%;">分治</p>
+      <span class="hero-caption" style="left: 31.42%; top: 8.679%;">分治</span>
     </a>
     <a href="/chapter_backtracking/">
       <img class="hero-on-hover" src="assets/hero/chapter_backtracking.png"
         style="height: 17.338%; left: 4.875%; top: 32.925%;">
-      <p class="hero-caption" style="left: 4.742%; top: 50.113%;">回溯</p>
+      <span class="hero-caption" style="left: 4.742%; top: 50.113%;">回溯</span>
     </a>
     <a href="/chapter_dynamic_programming/">
       <img class="hero-on-hover" src="assets/hero/chapter_dynamic_programming.png"
         style="height: 15.47%; left: 9.406%; top: 57.472%;">
-      <p class="hero-caption" style="left: 8.561%; top: 75.351%;">动态规划</p>
+      <span class="hero-caption" style="left: 8.561%; top: 75.351%;">动态规划</span>
     </a>
     <a href="/chapter_greedy/">
       <img class="hero-on-hover" src="assets/hero/chapter_greedy.png"
         style="height: 14.127%; left: 23.132%; top: 75.803%;">
-      <p class="hero-caption" style="left: 21.619%; top: 86.85%;">贪心</p>
+      <span class="hero-caption" style="left: 21.619%; top: 86.85%;">贪心</span>
     </a>
   </div>
 
   <!-- heading and buttons -->
-  <div style="width: 100%; position: absolute; transform: translateX(-50%); left: 50%; bottom: min(2vh, 3vw);">
+  <div style="width: 100%; position: absolute; transform: translateX(-50%); left: 50%; bottom: min(2vh, 3vw); pointer-events: none;">
     <img style="height: min(9vh, 12vw);"
       src="https://readme-typing-svg.demolab.com/?font=Noto+Sans+SC&weight=400&duration=3500&pause=2000&color=FFF&center=true&vCenter=true&random=false&width=200&lines=Hello%2C+%E7%AE%97%E6%B3%95+!"
       alt="hello-algo-typing-svg" />
     <p style="color: #fff; margin-top: max(-1vh, -2vw); margin-bottom: min(2vh, 3.5vw);">
       动画图解、一键运行的数据结构与算法教程
     </p>
-    <div>
+    <div style="pointer-events: auto;">
       <a href="/chapter_preface/" class="rounded-button">
         <svg xmlns="http://www.w3.org/2000/svg"
           viewBox="0 0 512 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2024 Fonticons, Inc.-->
           <path
             d="M160 96a96 96 0 1 1 192 0A96 96 0 1 1 160 96zm80 152V512l-48.4-24.2c-20.9-10.4-43.5-17-66.8-19.3l-96-9.6C12.5 457.2 0 443.5 0 427V224c0-17.7 14.3-32 32-32H62.3c63.6 0 125.6 19.6 177.7 56zm32 264V248c52.1-36.4 114.1-56 177.7-56H480c17.7 0 32 14.3 32 32V427c0 16.4-12.5 30.2-28.8 31.8l-96 9.6c-23.2 2.3-45.9 8.9-66.8 19.3L272 512z" />
         </svg>
-        <p>开始阅读</p>
+        <span>开始阅读</span>
       </a>
       <a href="https://github.com/krahets/hello-algo" class="rounded-button">
         <svg xmlns="http://www.w3.org/2000/svg"
@@ -116,7 +116,7 @@ hide:
             d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3 .3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5 .3-6.2 2.3zm44.2-1.7c-2.9 .7-4.9 2.6-4.6 4.9 .3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3 .7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3 .3 2.9 2.3 3.9 1.6 1 3.6 .7 4.3-.7 .7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3 .7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3 .7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z">
           </path>
         </svg>
-        <p>代码仓库</p>
+        <span>代码仓库</span>
       </a>
     </div>
     <!-- arrow -->
@@ -157,7 +157,7 @@ hide:
 <!-- Section: reading -->
 <section data-md-color-scheme="default" data-md-color-primary="white" class="home-div">
   <div class="section-content">
-    <div style="height: min(37vh, 33vw); width: min(75vh, 75vw); position: relative; margin: 1em auto;">
+    <div style="height: min(37vh, 33vw); width: min(75vh, 75vw); position: relative; margin: 0.5em auto;">
       <!-- devices -->
       <!-- mac height = 248.1 mm -->
       <!-- ipad height = 280.6mm -->
@@ -166,11 +166,11 @@ hide:
       <img class="device-on-hover" src="assets/hero/pdf_ipad.png" style="height: 100%; left: 60%; bottom: 0%;">
       <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>
+    <p style="margin: 2em auto;">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>
+          <span>下载 PDF</span>
           <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
@@ -186,7 +186,7 @@ hide:
 <section data-md-color-scheme="slate" data-md-color-primary="grey" class="home-div">
   <div class="section-content">
     <h3 style="text-align: center; margin: 1em auto;">推荐语</h3>
-    <div class="intro-container" style="margin-bottom: 1em;">
+    <div class="intro-container" style="margin: 0 auto;">
       <div class="intro-text endor-text">
         <p style="margin-bottom: 0;">“一本通俗易懂的数据结构与算法入门书，引导读者手脑并用地学习，强烈推荐算法初学者阅读。”</p>
         <p style="font-weight: bold;">—— 邓俊辉，清华大学计算机系教授</p>
@@ -250,7 +250,7 @@ hide:
             <h3 style="margin-left: 0.5em;">互助学习</h3>
           </div>
           <p style="margin: 0;">欢迎讨论与提问，读者间携手共进</p>
-          <p class="intro-quote">"Knowledge increases by sharing."</br>“知识在分享中得以增长”</p>
+          <p class="intro-quote">"Learning by teaching."</br>“教学相长”</p>
         </div>
       </div>
       <img class="intro-image" src="index.assets/comment.gif">

overrides/stylesheets/extra.css

@@ -204,7 +204,7 @@ body {
   background-color: var(--md-default-bg-color);
   color: var(--md-default-fg-color);
   font-size: 0.9rem;
-  padding: 2em;
+  padding: 3em 2em;
   text-align: center;
 }
 
@@ -221,7 +221,7 @@ body {
   justify-content: center;
   border-radius: 10em;
   margin: 0 0.1em;
-  padding: 0.5em 1.3em;
+  padding: 0.6em 1.3em;
   border: none;
   background-color: var(--md-typeset-btn-color);
   color: var(--md-primary-fg-color) !important;
@@ -234,9 +234,10 @@ body {
   background-color: var(--md-typeset-btn-hover-color);
 }
 
-.rounded-button p {
+.rounded-button span {
   margin: 0;
-  margin-bottom: 0.1em;
+  margin-bottom: 0.07em;
+  white-space: nowrap;
 }
 
 .rounded-button svg {
@@ -257,18 +258,22 @@ body {
 }
 
 .text-button {
+  width: 100%;
   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 span {
+  white-space: nowrap;
+}
+
 .text-button svg {
   display: inline-block;
   fill: var(--md-typeset-btn-color);
@@ -288,7 +293,7 @@ body {
   padding: 0;
   position: relative;
   color: white;
-  font-size: min(2vh, 2.5vw);
+  font-size: min(1.8vh, 2.5vw);
   font-weight: 500;
 }