阿米诺斯

homework5/MatrixGraph.h

@@ -5,6 +5,7 @@
 #ifndef MATRIXGRAPH_H
 #define MATRIXGRAPH_H
 
+#include <functional>
 #include <sstream>
 #include<vector>
 
@@ -48,7 +49,7 @@ public:
 
     // 连接顶点
     void connect(int id1, int id2, T weight = 0) {
-        if (id1 > data.size() || id2 > data.size() || (id1 < 0 || id2 < 0)) {
+        if (id1 >= data.size() || id2 >= data.size() || (id1 < 0 || id2 < 0)) {
             throw NodeIdOutOfRangeException("您提供的id不合理", 0X001);
         }
         if (id1 == id2) {
@@ -97,5 +98,28 @@ public:
         }
         return ss.str();
     }
+
+    vector<T> DFS(int startID) {
+        if (startID >= matrix.size() || startID < 0) {
+            throw NodeIdOutOfRangeException("您提供的id不合理", 0X004);
+        }
+        vector<bool> visited(matrix.size(), false); //访问标记
+        vector<T> result;
+
+        function<void(int)> dfsHelper = [&](int node) {
+            visited[node] = true;
+            result.push_back(data.at(node));
+
+            for (int i = 0; i < matrix[node].size(); ++i) {
+                if (matrix[node][i].connected && !visited[i]) {
+                    dfsHelper(i);
+                }
+            }
+        };
+
+        dfsHelper(startID);
+
+        return result;
+    }
 };
 #endif //MATRIXGRAPH_H

homework5/test1.cpp

@@ -26,7 +26,7 @@
 using namespace std;
 
 int main() {
-    MatrixGraph<int> graph = new MatrixGraph<int>();
+    MatrixGraph<int> graph = MatrixGraph<int>();
     int n, e;
     cin >> n >> e;
     for (int i = 0; i < n; i++) {
@@ -39,5 +39,12 @@ int main() {
     }
     cout << "图的邻接矩阵为：" << endl;
     cout << graph.to_string() << endl;
+    vector<int> dfs = graph.DFS(0);
+    cout << "图的DFS序列为：" << endl;
+    vector<int>::iterator it;
+    for (it = dfs.begin(); it != dfs.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
     return 0;
 }

homework5/test2.cpp

@@ -27,25 +27,25 @@
 using namespace std;
 
 int main() {
-    ListGraph<int> graph=ListGraph<int>();
+    ListGraph<int> graph = ListGraph<int>();
-    int n,e;
+    int n, e;
-    cin>>n>>e;
+    cin >> n >> e;
-    for(int i=0;i<n;i++) {
+    for (int i = 0; i < n; i++) {
         graph.insert(i);
     }
-    int id1,id2;
+    int id1, id2;
-    for(int i=0;i<e;i++) {
+    for (int i = 0; i < e; i++) {
-        cin>>id1>>id2;
+        cin >> id1 >> id2;
-        graph.connect(id1,id2);
+        graph.connect(id1, id2);
     }
-    cout<<"邻接表："<<endl;
+    cout << "邻接表：" << endl;
-    cout<<graph.to_string()<<endl;
+    cout << graph.to_string() << endl;
-    cout<<"BFS序列："<<endl;
+    cout << "BFS序列：" << endl;
-    vector<int> bfs=graph.BFS(0);
+    vector<int> bfs = graph.BFS(0);
     vector<int>::iterator it;
-    for(it=bfs.begin();it!=bfs.end();++it) {
+    for (it = bfs.begin(); it != bfs.end(); ++it) {
-        cout<<*it<<" ";
+        cout << *it << " ";
     }
-    cout<<endl;
+    cout << endl;
     return 0;
 }

homework6/CMakeLists.txt

@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 3.30)
+project(homework6)
+
+set(CMAKE_CXX_STANDARD 20)
+
+add_executable(test1 test1.cpp)
+add_executable(test2 test2.cpp)

homework6/test1.cpp

@@ -0,0 +1,39 @@
+// 编写一个程序，输出在顺序表(3,6,2,10,l,8,5,7,4,9) 中采用顺序查找方法查找关键字5的过程。
+#include <vector>
+#include <iostream>
+
+using namespace std;
+
+template <typename T>
+int seqSearch(vector<T> l,T value) {
+    if (l.empty()) {
+        cout << "空表" << endl;
+        return -1;
+    }
+    bool found = false;
+    int index = 0;
+    for (int i=0; i<l.size(); i++) {
+        cout<<"正在顺序查找第"<<i+1<<"位元素"<<"其值为"<<l.at(i)<<endl;
+
+        if (l.at(i) == value) {
+            found = true;
+            index = i;
+            break;
+        }
+    }
+
+    if (!found) {
+        cout<<"未查找到："<<value<<endl;
+        return -1;
+    }
+
+    cout<<"查找次数："<<index+1<<endl;
+    return index;
+}
+
+int main() {
+    vector<int> l={3,6,2,10,'l',8,5,7,4,9};
+    int index=seqSearch(l,5);
+    cout<<index<<endl;
+    return 0;
+}

homework6/test2.cpp

@@ -0,0 +1,37 @@
+// 编写一个程序，输出在顺序表(1,2, 3, 4, 5, 6, 7, 8, 9, 10)中采用折半查找方法查找关键字9的过程。
+#include<iostream>
+#include<vector>
+
+using namespace std;
+
+template <typename T>
+int BinarySearch(vector<T> l, T value, int left, int right) {
+    if (left > right) {
+        return -1; // 未找到目标值
+    }
+
+    int mid = left + (right - left) / 2; // 计算中间位置
+
+    cout << "正在查找第"<<mid+1 <<"位"<<"其值为"<<l.at(mid)<< endl;
+
+    if (l[mid] == value) {
+        return mid; // 找到目标值，返回索引
+    } else if (value < l.at(mid)) {
+        return BinarySearch(l, value, left, mid - 1); // 在左半部分递归查找
+    } else {
+        return BinarySearch(l, value, mid + 1, right); // 在右半部分递归查找
+    }
+}
+
+template <typename T>
+int BinarySearch(vector<T> l, T value) {
+    return BinarySearch(l,value, 0, l.size() - 1);
+}
+
+
+int main() {
+    vector<int> l = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10};
+    int index=BinarySearch(l, 9);
+    cout<<index<<endl;
+    return 0;
+}

homework7/CMakeLists.txt

@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 3.30)
+project(homework7)
+
+set(CMAKE_CXX_STANDARD 20)
+
+add_executable(test1 test1.cpp)
+add_executable(test2 test2.cpp)

homework7/test1.cpp

@@ -0,0 +1,58 @@
+// 编写一个程序，实现直接插入排序算法。用相关数据进行测试，并输出各趟的排序结果。
+
+#include<iostream>
+#include<vector>
+
+using namespace std;
+
+template<typename T>
+void InsertSort(vector<T> &v) {
+    for (int i = 1; i < v.size(); i++) {
+        T key = v[i];
+        int j = i - 1;
+
+        while (j >= 0 && v[j] > key) {
+            v[j + 1] = v[j];
+            j = j - 1;
+        }
+        v[j + 1] = key;
+
+        cout << "第" << i << "趟排序：" << endl;
+        cout << "插入前：";
+        for (int k = 0; k < j + 1; k++) {
+            cout << v[k] << " ";
+        }
+        cout << "(" << key << ")";
+        for (int k = i + 2; k < i; k++) {
+            cout << v[k] << " ";
+        }
+        cout << endl;
+
+        cout << "插入后：";
+        for (int k = 0; k < v.size(); k++) {
+            cout << v[k] << " ";
+        }
+        cout << endl;
+    }
+}
+
+int main() {
+    vector<int> v = {1, 3, 2, 4, 6, 5, 7, 10, 9, 8};
+
+    cout << "排序前：" << endl;
+    for (int i = 0; i < v.size(); i++) {
+        cout << v[i] << " ";
+    }
+    cout << endl;
+
+
+    InsertSort(v);
+
+    cout << "排序后：" << endl;
+    for (int i = 0; i < v.size(); i++) {
+        cout << v[i] << " ";
+    }
+    cout << endl;
+
+    return 0;
+}

homework7/test2.cpp

@@ -0,0 +1,64 @@
+// 编写一个程序，实现折半插入排序算法。用相关数据进行测试，并输出各趟的排序结果。
+
+#include<iostream>
+#include<vector>
+#include<algorithm>
+
+using namespace std;
+
+template<typename T>
+void BinaryInsertSort(vector<T> &v) {
+    for (size_t i = 1; i < v.size(); ++i) {
+        T key = v[i];
+        int low = 0, high = i - 1;
+        while (low <= high) {
+            int mid = low + (high - low) / 2;
+            if (v[mid] > key) {
+                high = mid - 1;
+            } else {
+                low = mid + 1;
+            }
+        }
+        for (int j = i - 1; j >= low; --j) {
+            v[j + 1] = v[j];
+        }
+        v[low] = key;
+
+        cout << "第 " << i << " 趟排序：" << endl;
+        cout << "插入前：";
+        for (int k = 0; k < low; ++k) {
+            cout << v[k] << " ";
+        }
+        cout << "(" << key << ") ";
+        for (int k = low + 1; k < i; ++k) {
+            cout << v[k] << " ";
+        }
+        cout << endl;
+
+        cout << "插入后：";
+        for (int k = 0; k < v.size(); ++k) {
+            cout << v[k] << " ";
+        }
+        cout << endl;
+    }
+}
+
+int main() {
+    vector<int> v = {1, 3, 6, 4, 2, 5, 7, 10, 9, 8};
+    cout << "排序前:" << endl;
+    vector<int>::iterator it;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    BinaryInsertSort(v);
+
+    cout << "排序后：" << endl;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    return 0;
+}

homework8/CMakeLists.txt

@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 3.30)
+project(homework8)
+
+set(CMAKE_CXX_STANDARD 20)
+
+add_executable(test1 test1.cpp)
+add_executable(test2 test2.cpp)

homework8/test1.cpp

@@ -0,0 +1,46 @@
+#include<iostream>
+#include<vector>
+
+using namespace std;
+
+template<typename T>
+void ShellSort(vector<T> &v) {
+    int gap = v.size() / 2;
+
+    while (gap > 0) {
+        for (int i = gap; i < v.size(); i++) {
+            T temp = v[i];
+            int j;
+            for (j = i; j >= gap && v[j - gap] > temp; j -= gap) {
+                v[j] = v[j - gap];
+            }
+            v[j] = temp;
+        }
+        cout << "间隔：" << gap << endl << "排序后：";
+        for (int k = 0; k < v.size(); ++k) {
+            cout << v[k] << " ";
+        }
+        cout << endl;
+        gap = gap / 2;
+    }
+}
+
+int main() {
+    vector<int> v = {1, 3, 2, 4, 6, 5, 7, 10, 9, 8};
+    vector<int>::iterator it;
+    cout << "排序前" << endl;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    ShellSort(v);
+
+    cout << "排序后：" << endl;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    return 0;
+}

homework8/test2.cpp

@@ -0,0 +1,50 @@
+// 编写一个程序，实现冒泡排序算法。用相关数据进行测试，并输出各趟的排序结果。
+
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+template<typename T>
+void BubbleSort(vector<T> &v) {
+    int count = 1;
+
+    for (int i = 0; i < v.size(); i++) {
+        for (int j = 0; j < v.size() - i - 1; j++) {
+            cout << "正在进行第" << count << "次排序，";
+            if (v[j] > v[j + 1]) {
+                cout << "交换" << v[i] << "与" << v[j] << endl;
+                T temp = v[j];
+                v[j] = v[j + 1];
+                v[j + 1] = temp;
+            }
+            cout << "交换后：" << endl;
+            for (int i = 0; i < v.size(); i++) {
+                cout << v[i] << " ";
+            }
+            cout << endl;
+            count++;
+        }
+    }
+}
+
+int main() {
+    vector<int> v = {1, 3, 2, 4, 6, 5, 7, 10, 9, 8};
+    vector<int>::iterator it;
+
+    cout << "排序前：" << endl;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    BubbleSort(v);
+
+    cout << "排序后：" << endl;
+    for (it = v.begin(); it != v.end(); it++) {
+        cout << *it << " ";
+    }
+    cout << endl;
+
+    return 0;
+}