Initial Commit

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grtsinry43 2025-05-08 12:01:17 +08:00
commit 7368807c68
Signed by: grtsinry43
GPG Key ID: F3305FB3A978C934
15 changed files with 625 additions and 0 deletions

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<option name="pythonIntegrationState" value="YES" />
</component>
<component name="CMakeWorkspace" PROJECT_DIR="$PROJECT_DIR$" />
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<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="ProjectModuleManager">
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<module fileurl="file://$PROJECT_DIR$/.idea/data-structure-homework.iml" filepath="$PROJECT_DIR$/.idea/data-structure-homework.iml" />
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<?xml version="1.0" encoding="UTF-8"?>
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CMakeLists.txt Normal file
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cmake_minimum_required(VERSION 3.31)
project(data_structure_homework)
set(CMAKE_CXX_STANDARD 20)
add_executable(data_structure_homework main.cpp
problem1.cpp
problem1.h
problem2.cpp
problem2.h)

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main.cpp Normal file
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#include "problem1.h"
#include "problem2.h"
int main() {
problem_1();
problem_2();
}

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problem1.cpp Normal file
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//
// Created by grtsinry43 on 5/8/25.
//
#include <algorithm>
#include <climits>
#include <iostream>
#include <vector>
#include <queue>
using namespace std;
struct Edge {
int to, weight;
};
void dijkstra(int source, const vector<vector<Edge> > &graph) {
int n = graph.size();
vector<int> dist(n, INT_MAX); // 存储最短路径长度
vector<int> prev(n, -1); // 存储路径
dist[source] = 0;
// 优先队列,按距离从小到大排序
priority_queue<pair<int, int>, vector<pair<int, int> >, greater<> > pq;
pq.push({0, source});
while (!pq.empty()) {
auto [d, u] = pq.top();
pq.pop();
if (d > dist[u]) continue;
for (const auto &edge: graph[u]) {
int v = edge.to, weight = edge.weight;
if (dist[u] + weight < dist[v]) {
dist[v] = dist[u] + weight;
prev[v] = u;
pq.push({dist[v], v});
}
}
}
// 输出结果
for (int i = 0; i < n; ++i) {
if (dist[i] == INT_MAX) {
cout << "Node " << i << " is unreachable from source " << source << ".\n";
} else {
cout << "Shortest distance to node " << i << " is " << dist[i] << ". Path: ";
vector<int> path;
for (int at = i; at != -1; at = prev[at]) {
path.push_back(at);
}
ranges::reverse(path.begin(), path.end());
for (int j = 0; j < path.size(); ++j) {
cout << path[j] << (j + 1 < path.size() ? " -> " : "\n");
}
}
}
}
int problem_1() {
int n = 5; // 节点数
vector<vector<Edge> > graph(n);
// 添加边 (示例)
graph[0].push_back({1, 2});
graph[0].push_back({2, 4});
graph[1].push_back({2, 1});
graph[1].push_back({3, 7});
graph[2].push_back({4, 3});
graph[3].push_back({4, 1});
int source = 0; // 源点
dijkstra(source, graph);
return 0;
}

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problem1.h Normal file
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//
// Created by grtsinry43 on 5/8/25.
//
#ifndef PROBLEM1_H
#define PROBLEM1_H
int problem_1();
#endif //PROBLEM1_H

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//
// Created by grtsinry43 on 5/8/25.
//
#include "problem2.h"
#include <iostream>
#include <string>
using namespace std;
struct Student {
int id; // 学号
int score; // 成绩
Student(int id, int score) : id(id), score(score) {}
};
struct TreeNode {
Student data;
TreeNode* left;
TreeNode* right;
explicit TreeNode(Student data) : data(data), left(nullptr), right(nullptr) {}
};
class BST {
private:
TreeNode* root;
TreeNode* insert(TreeNode* node, Student data) {
if (!node) return new TreeNode(data);
if (data.id < node->data.id)
node->left = insert(node->left, data);
else if (data.id > node->data.id)
node->right = insert(node->right, data);
return node;
}
TreeNode* findMin(TreeNode* node) {
while (node && node->left) node = node->left;
return node;
}
TreeNode* remove(TreeNode* node, int id) {
if (!node) return nullptr;
if (id < node->data.id)
node->left = remove(node->left, id);
else if (id > node->data.id)
node->right = remove(node->right, id);
else {
if (!node->left) {
TreeNode* temp = node->right;
delete node;
return temp;
} else if (!node->right) {
TreeNode* temp = node->left;
delete node;
return temp;
}
TreeNode* temp = findMin(node->right);
node->data = temp->data;
node->right = remove(node->right, temp->data.id);
}
return node;
}
TreeNode* search(TreeNode* node, int id) {
if (!node || node->data.id == id) return node;
if (id < node->data.id)
return search(node->left, id);
return search(node->right, id);
}
void inorder(TreeNode* node) {
if (!node) return;
inorder(node->left);
cout << "ID: " << node->data.id << ", Score: " << node->data.score << endl;
inorder(node->right);
}
public:
BST() : root(nullptr) {}
void insert(Student data) {
root = insert(root, data);
}
void remove(int id) {
root = remove(root, id);
}
void search(int id) {
TreeNode* result = search(root, id);
if (result)
cout << "Found - ID: " << result->data.id << ", Score: " << result->data.score << endl;
else
cout << "Student with ID " << id << " not found." << endl;
}
void display() {
inorder(root);
}
};
int problem_2() {
BST bst;
// 插入学生成绩
bst.insert(Student(101, 85));
bst.insert(Student(102, 90));
bst.insert(Student(103, 78));
bst.insert(Student(104, 88));
cout << "All students:\n";
bst.display();
// 查找学生成绩
cout << "\nSearching for student with ID 102:\n";
bst.search(102);
// 删除学生信息
cout << "\nRemoving student with ID 103:\n";
bst.remove(103);
cout << "\nAll students after removal:\n";
bst.display();
return 0;
}

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problem2.h Normal file
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//
// Created by grtsinry43 on 5/8/25.
//
#ifndef PROBLEM2_H
#define PROBLEM2_H
int problem_2();
#endif //PROBLEM2_H