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Cai
2025-10-27 11:20:07 +08:00
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#### 任务：编码与分析
##### 答案
```python
def insertion_sort(arr):
"""
实现插入排序算法
参数arr: 待排序的交通数据数组（整数代表车辆通行次序）
返回: 排序后的数组
"""
# TODO: 请在此处实现你的插入排序逻辑
for i in range(1, len(arr)):
key = arr[i]
j = i - 1
while j >= 0 and arr[j] > key:
arr[j + 1] = arr[j]
j -= 1
arr[j + 1] = key
return arr
```
##### 指导步骤
1. **检查代码**：学生提交代码后，首先确认 `insertion_sort` 的逻辑是否正确。如果学生遇到困难，应提示其思考“每次将一个待排序的记录，按其关键字大小插入到前面已经排好序的子序列中的适当位置”这一核心思想，而不是直接给出代码。
2. **启动分析对话**：在学生运行代码并得到输出后，开始提问。
* **提问1**：“请把你的输出结果贴出来。我们先看‘交通大堵塞’（Worst Case）这一项。当n从1000变为10000（增长10倍）时，运行时间大约增长了多少倍？这个倍数接近10倍还是100倍？”
* **引导**：学生应该会发现时间增长接近100倍。引导他们得出结论：这符合$O(n^2)$的特征，因为$10^2=100$ 。
3. **探究原因 (Best Case)**：
* **提问2**：“观察‘畅通无阻’（Best Case）的数据，它的速度快得惊人。为什么会这样？请看一下你写的 `insertion_sort` 代码，当输入数组已经有序时，`while` 循环会执行吗？这使得它的时间复杂度变成了什么？”
* **引导**：引导学生发现 `while` 循环条件 `arr[j] > key` 始终为假，因此内循环一次都不执行。外循环n次，所以总复杂度是$O(n)$ 。
4. **讨论实际应用**：
* **提问3**：“分析得很好。那么，回到我们的智慧交通系统。你觉得插入排序适合处理大规模、实时的拥堵预警吗？考虑到它的最坏情况性能。”
* **引导**：学生应该能判断出**不适合**。因为在最坏情况下 ， $O(n^2)$的复杂度对于大规模实时系统是灾难性的。引导他们思考插入排序的适用场景（例如小规模数据或近乎有序的数据）。
5. **最终综合**：
* **提问4**：“现在，把我们今天讨论的所有内容——从理论计算到编程实验——联系起来。你对‘算法是解决问题的核心’这句话，有没有一些新的、更具体的感悟？”
* **目标**：鼓励学生自由发挥，将第一关“算法增长率的重要性”和第二关“输入数据形态的重要性”结合起来，形成对算法分析全面性的初步认识。
Sent text to route 'score-prompt-in': #### 代码实现（20分）：`insertion_sort`
1. 函数逻辑完全正确，能通过所有测试用例（20分）。
2. 逻辑基本正确但有边界或细节错误（10-15分）。
3. 逻辑有严重错误或未实现（0分）。
#### 实验分析与互动（30分）
1. **最坏情况分析（10分）**：能根据实验数据，正确识别出最坏情况下的时间增长大致
为二次方关系（O(n2)） 。
2. **最好情况分析（10分）**：能解释最好情况性能快的原因（内循环不执行），并正确
指出其时间复杂度为O(n) 。
3. **平均情况认知（10分）**：能从对话和数据中理解随机数据的性能介于最好和最坏之
间，并趋近于最坏情况，即O(n2)。
#### 应用洞察（10分）
1. **实践应用判断（5分）**：能基于实验结果，明确指出插入排序不适用于大规模实时拥
堵处理，并给出合理解释（最坏情况性能差） 。
2. **融会贯通总结（5分）**：能在最后总结中，结合理论与实践，有条理地阐述自己对算
法核心作用的理解。
#### 注意
本作业的核心在于分析与理解，因此与Agent的互动讨论是评分的重要依据。
评分将综合学生在对话中的表现，评估其思考过程的深度和清晰度。
鼓励学生用自己的话来表达，而不是仅仅复述课本概念。
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Sent text to route 'backboard-in': ###Global Info:###
Here are some info about now user's IDE, refer to it when you need to handle some code.
- User's total study time is 00:01:11
- User's current chapter study time is 00:00:03
- Activated file path:
```
```
- Last five action:workspaceFolders
workspaceFolders
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@@ -11,40 +11,6 @@ body {
background-color: #f5f5f5;
}
/* 页眉导航栏 */
.navbar {
display: flex;
justify-content: space-between;
align-items: center;
background-color: #2575fc;
color: white;
border-radius: 10px;
margin-bottom: 30px;
}
.navbar .logo h1 {
font-size: 24px;
font-weight: bold;
}
.navbar-links a {
color: white;
text-decoration: none;
margin: 0 15px;
font-size: 16px;
transition: color 0.3s;
}
.navbar-links a:hover {
color: #f1c40f;
}
.navbar .avatar img {
width: 40px;
height: 40px;
border-radius: 50%;
border: 2px solid white;
}
/* Dashboard 主体部分 */

35
Html/apps/static/css/navbar.css
View File

@@ -1,25 +1,23 @@
/* 页眉导航栏 基础样式 */
/* 页眉导航栏 */
.navbar {
display: flex;
justify-content: space-between;
align-items: center;
background-color: #ffffff;
padding: 10px 20px;
border-bottom: 1px solid #eee;
margin: 0;
background-color: #2575fc;
color: rgb(235, 235, 235);
border-radius: 10px;
margin-bottom: 30px;
}
/* 导航栏 Logo 样式 */
.navbar .logo h1 {
font-size: 20px;
color: rgb(245, 245, 245);
font-size: 24px;
font-weight: bold;
color: #1f2937;
margin: 0;
}
/* 导航链接样式 */
.navbar-links a {
color: #4b5563;
color: rgb(235, 235, 235);
text-decoration: none;
margin: 0 15px;
font-size: 18px;
@@ -27,21 +25,18 @@
}
.navbar-links a:hover {
color: #2575fc;
}
/* 头像容器样式 */
.navbar .avatar {
margin-left: 0;
color: #f1c40f;
}
.navbar .avatar img {
width: 32px;
height: 32px;
width: 40px;
height: 40px;
border-radius: 50%;
cursor: pointer;
border: 2px solid white;
}
/* 下拉浮框 基础定位 */
.dropdown {
position: relative;

33
Html/apps/templates/index.html
View File

@@ -3,20 +3,41 @@
<head>
<meta charset="UTF-8">
<title>课程选择主页</title>
<link rel="stylesheet" href="/static/css/navbar.css">
<link rel="stylesheet" href="/static/css/footer.css">
<link rel="stylesheet" href="/static/css/index.css">
</head>
<body>
<header class="navbar">
<!-- 原有导航内容保留 -->
{% include 'navbar.html' %}
</header>
<main>
<!-- 原有主体内容保留 -->
{% block content %}{% endblock %}
<div class="course-selection">
<h2>课程列表</h2>
<div class="course-list">
{% for course in courses_data %}
<div class="course-card" onclick="show_course_details('{{ course._id }}')">
<img src="{{ course.image_url }}" alt="{{ course.course_name }}">
<h3>{{ course.name }}</h3>
<p>{{ course.description }}</p>
{% if course._id in selected_courses %}
<button class="selected-button">已选择</button>
{% else %}
<button class="select-button" data-course-id="{{course._id}}">选择课程</button>
{% endif %}
</div>
{% endfor %}
</div>
</div>
</main>
{% include 'foot.html' %}
</body>
<script>
window.appData = {
user_selected_courses: JSON.parse(`{{selected_courses}}`.replace(/&#34;/g, "\""))
}
</script>
<script src="/static/js/index.js"></script>
</html>

7
Html/apps/templates/navbar.html
View File

@@ -1,7 +1,12 @@
<link rel="stylesheet" href="/static/css/navbar.css">
<!-- Bootstrap 5 CSS -->
<link href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0-alpha1/dist/css/bootstrap.min.css" rel="stylesheet">
<!-- Font Awesome 图标 -->
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.0.0/css/all.min.css">
<link rel="stylesheet" href="/static/css/dashboard.css">
<header class="navbar">
<div class="logo">
<h1>华实君：教学练评一体的虚拟助教</h1>
<h1>华实学伴：教学练评一体的虚拟助教</h1>
</div>
{% if role == 'teacher' %}
<!-- 如果是教师角色 -->