diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..bb826d8
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,89 @@
+{
+    "files.associations": {
+        "array": "cpp",
+        "atomic": "cpp",
+        "bit": "cpp",
+        "cctype": "cpp",
+        "chrono": "cpp",
+        "clocale": "cpp",
+        "cmath": "cpp",
+        "codecvt": "cpp",
+        "compare": "cpp",
+        "concepts": "cpp",
+        "cstdarg": "cpp",
+        "cstddef": "cpp",
+        "cstdint": "cpp",
+        "cstdio": "cpp",
+        "cstdlib": "cpp",
+        "cstring": "cpp",
+        "ctime": "cpp",
+        "cwchar": "cpp",
+        "cwctype": "cpp",
+        "deque": "cpp",
+        "forward_list": "cpp",
+        "map": "cpp",
+        "string": "cpp",
+        "unordered_map": "cpp",
+        "vector": "cpp",
+        "exception": "cpp",
+        "algorithm": "cpp",
+        "functional": "cpp",
+        "iterator": "cpp",
+        "memory": "cpp",
+        "memory_resource": "cpp",
+        "numeric": "cpp",
+        "random": "cpp",
+        "ratio": "cpp",
+        "string_view": "cpp",
+        "system_error": "cpp",
+        "tuple": "cpp",
+        "type_traits": "cpp",
+        "utility": "cpp",
+        "fstream": "cpp",
+        "initializer_list": "cpp",
+        "iomanip": "cpp",
+        "iosfwd": "cpp",
+        "iostream": "cpp",
+        "istream": "cpp",
+        "limits": "cpp",
+        "new": "cpp",
+        "numbers": "cpp",
+        "ostream": "cpp",
+        "sstream": "cpp",
+        "stdexcept": "cpp",
+        "streambuf": "cpp",
+        "typeinfo": "cpp",
+        "valarray": "cpp",
+        "any": "cpp",
+        "barrier": "cpp",
+        "bitset": "cpp",
+        "cfenv": "cpp",
+        "charconv": "cpp",
+        "cinttypes": "cpp",
+        "complex": "cpp",
+        "condition_variable": "cpp",
+        "coroutine": "cpp",
+        "csetjmp": "cpp",
+        "csignal": "cpp",
+        "cuchar": "cpp",
+        "list": "cpp",
+        "set": "cpp",
+        "unordered_set": "cpp",
+        "optional": "cpp",
+        "regex": "cpp",
+        "source_location": "cpp",
+        "future": "cpp",
+        "latch": "cpp",
+        "mutex": "cpp",
+        "ranges": "cpp",
+        "scoped_allocator": "cpp",
+        "semaphore": "cpp",
+        "shared_mutex": "cpp",
+        "span": "cpp",
+        "stop_token": "cpp",
+        "syncstream": "cpp",
+        "thread": "cpp",
+        "typeindex": "cpp",
+        "variant": "cpp"
+    }
+}
\ No newline at end of file
diff --git a/Delete-test.cpp b/Delete-test.cpp
new file mode 100644
index 0000000..cc3f998
--- /dev/null
+++ b/Delete-test.cpp
@@ -0,0 +1,177 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+struct HEAP
+{
+    std::vector<int> data; // 0-based: data[0] is root
+    int n; // number of elements
+    int capacity;
+    HEAP(int cap = 32) : data(cap, 0), n(0), capacity(cap) {}
+};
+
+typedef int ElemType;
+
+Array1DTracer heapTracer = Array1DTracer("堆的数组形式");
+LogTracer logger = LogTracer("运行日志");
+GraphTracer heapGraph = GraphTracer("最大堆").directed(false);
+
+bool HeapFull(HEAP &heap)
+{
+    return (heap.n >= heap.capacity);
+}
+
+// 更新图形化的堆树视图（binary heap visual）
+// 使用连续的数值 id (0..n-1)，并把堆值作为 weight 显示
+void updateHeapGraph(HEAP &heap)
+{
+    int n = heap.n;
+    GraphTracer heapGraph_new = GraphTracer("最大堆").directed(false);
+    heapGraph = heapGraph_new;
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+    if (n <= 0) return;
+    for (int i = 0; i < n; ++i)
+    {
+        heapGraph.addNode(heap.data[i]);
+    }
+    for (int i = 0; i < n; ++i)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        if (left < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[left]);
+            heapGraph.addEdge(heap.data[left], heap.data[i]);
+        }
+        if (right < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[right]);
+            heapGraph.addEdge(heap.data[right], heap.data[i]);
+        }
+    }
+    heapGraph.layoutTree(heap.data[0]);
+    Tracer::delay();
+}
+
+// DeleteMax (0-based indices) following image logic: parent=0, child=1
+void DeleteMax(HEAP &heap)
+{
+    if (heap.n == 0)
+    {
+        logger.println("堆为空，无法删除元素");
+        Tracer::delay();
+        return;
+    }
+
+    ElemType elem = heap.data[0];
+    ElemType tmp = heap.data[heap.n - 1];
+    // 可视化
+    logger.println("删除最大元素: " + std::to_string(elem) + "，并替换堆顶元素");
+    heapTracer.select(0);
+    heapGraph.select(heap.data[0]);
+    // heapGraph.select(heap.data[heap.n - 1]);
+    Tracer::delay();
+
+    heap.n = heap.n - 1;
+
+    // put last at root (will percolate down)
+    heap.data[0] = tmp;
+    heapTracer.deselect(0);
+    heapTracer.patch(0, heap.data[0]);
+    heapTracer.patch(heap.n, std::string("-"));
+    updateHeapGraph(heap);
+    heapGraph.select(heap.data[0]);
+    Tracer::delay();
+    
+    
+    heapTracer.depatch(0);
+    heapTracer.depatch(heap.n);
+    heapGraph.deselect(heap.data[0]);
+    Tracer::delay();
+
+    logger.println("堆顶元素被最后一个元素替换，开始下滤过程");
+    Tracer::delay();
+
+    int parent = 0;
+    int child = 1; // left child of parent=0
+
+    while (child <= heap.n - 1)
+    {
+        // 找到更大的子结点
+        if (child < heap.n - 1 && heap.data[child] < heap.data[child + 1])
+            child = child + 1;
+
+        // 可视化
+        heapGraph.select(heap.data[child]);
+        heapTracer.select(child);
+        Tracer::delay();
+
+        if (tmp >= heap.data[child])
+        {
+            heapGraph.deselect(heap.data[child]);
+            heapTracer.deselect(child);
+            break;
+        }
+
+        // move child up
+        heap.data[parent] = heap.data[child];
+        heapTracer.patch(parent, heap.data[parent]);
+        logger.println("下滤：将 " + std::to_string(heap.data[child]) + " 移到索引 " + std::to_string(parent));
+        Tracer::delay();
+        
+        heapTracer.depatch(parent);
+        heapGraph.deselect(child);
+        heapTracer.deselect(child);
+
+        // move down the tree
+        parent = child;
+        child = 2 * parent + 1;
+    }
+
+    // place tmp at its position
+    heap.data[parent] = tmp;
+    heapTracer.patch(parent, heap.data[parent]);
+    Tracer::delay();
+
+    // update graph and array visualization
+    updateHeapGraph(heap);
+    logger.println("删除完成: " + std::to_string(elem) + "，当前堆大小: " + std::to_string(heap.n));
+    Tracer::delay();
+}
+
+int main()
+{
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+
+    HEAP heap(10);
+    std::vector<int> init = {95, 87, 78, 65, 53, 31, 9, 45, 17, 23};
+    heap.n = (int)init.size();
+    for (int i = 0; i < heap.n; ++i) heap.data[i] = init[i];
+
+    // array tracer (index 0..capacity-1)
+    json arr = json::array();
+    for (int i = 0; i < heap.capacity; ++i)
+    {
+        if (i < heap.n) arr.push_back(heap.data[i]);
+        else arr.push_back(std::string("-"));
+    }
+    heapTracer.set(arr);
+
+    updateHeapGraph(heap);
+    heapGraph.layoutTree(heap.data[0]);
+
+    Tracer::delay();
+
+    logger.println("进行一次 DeleteMax"); Tracer::delay();
+    DeleteMax(heap);
+
+    logger.println("再执行一次 DeleteMax"); Tracer::delay();
+    DeleteMax(heap);
+
+    logger.println("结束"); Tracer::delay();
+
+    return 0;
+}
diff --git a/Finished/BFS/BFS-Graph.cpp b/Finished/BFS/BFS-Graph.cpp
new file mode 100644
index 0000000..a1af299
--- /dev/null
+++ b/Finished/BFS/BFS-Graph.cpp
@@ -0,0 +1,217 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+#include <queue>
+
+using json = nlohmann::json;
+
+// 从顶点 k 出发的一次 BFS
+void BFSRec(const std::vector<std::vector<int>> &G, int k,
+            std::vector<bool> &visited, std::vector<int> &dfn, int &count,
+            GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger)
+{
+    std::queue<int> Q;
+    // 访问顶点 k
+    visited[k] = true;
+    dfn[k] = count++;
+
+    // 可视化：标记并在表格中写入编号
+    graphTracer.visit(k);
+    tableTracer.patch(1, k + 1, dfn[k]);
+    Tracer::delay();
+
+    tableTracer.depatch(1, k + 1);
+    Tracer::delay();
+
+    // 更新队列可视化（入队 k）
+    std::vector<int> qview;
+    Q.push(k);
+    qview.push_back(k);
+    // 显示队列中实际内容（不限定长度），并记录长度变化
+    json qjson = json::array();
+    for (int x : qview)
+        qjson.push_back(x);
+    queueTracer.set(qjson);
+    logger.println(std::string("顶点 ") + std::to_string(k) + " 入队，队列大小= " + std::to_string((int)qview.size()));
+    graphTracer.leave(k);
+    graphTracer.select(k);
+    Tracer::delay();
+
+    while (!Q.empty())
+    {
+        int v = Q.front();
+        Q.pop();
+
+        queueTracer.select(0); // 高亮队首
+        Tracer::delay();
+        queueTracer.deselect(0);
+        Tracer::delay();
+        // 更新队列可视化（出队）: remove front from qview
+        if (!qview.empty())
+        {
+            qview.erase(qview.begin());
+        }
+        json qjson2 = json::array();
+        for (int x : qview)
+            qjson2.push_back(x);
+        queueTracer.set(qjson2);
+        logger.println(std::string("顶点 ") + std::to_string(v) + " 出队，队列大小= " + std::to_string((int)qview.size()));
+        Tracer::delay();
+        // 可视化：高亮当前出队的节点
+        graphTracer.visit(v);
+        Tracer::delay();
+
+        // 遍历 v 的所有邻接点
+        for (int w = 0; w < (int)G.size(); ++w)
+        {
+            if (G[v][w])
+            {
+                if (visited[w])
+                {
+                    logger.println(std::string("顶点 ") + std::to_string(w) + " 已访问，跳过");
+                    Tracer::delay();
+                    continue;
+                }
+                // 可视化经过边 (v,w)
+                graphTracer.visit(v, w);
+                Tracer::delay();
+                if (!visited[w])
+                {
+                    // 访问顶点 w
+                    visited[w] = true;
+                    dfn[w] = count++;
+                    // 在表格里同步填写 dfn
+                    tableTracer.patch(1, w + 1, dfn[w]);
+                    Tracer::delay();
+                    tableTracer.depatch(1, w + 1);
+                    graphTracer.select(w);
+                    Tracer::delay();
+
+                    // 将 w 入队并在图上标记
+                    Q.push(w);
+                    qview.push_back(w);
+                    // 更新队列显示（仅显示实际元素）并记录长度
+                    json qjson3 = json::array();
+                    for (int x : qview)
+                        qjson3.push_back(x);
+                    queueTracer.set(qjson3);
+                    logger.println(std::string("顶点 ") + std::to_string(w) + " 入队，队列大小= " + std::to_string((int)qview.size()));
+                    graphTracer.select(w);
+                    Tracer::delay();
+                    graphTracer.deselect(w);
+                    Tracer::delay();
+                }
+                // 取消临时访问高亮
+                graphTracer.leave(v, w);
+                Tracer::delay();
+            }
+        }
+        // 取消当前节点的持久选中
+        graphTracer.leave(v);
+        Tracer::delay();
+    }
+}
+
+// 主算法
+void BFSTraverse(const std::vector<std::vector<int>> &G,
+                 GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger)
+{
+    int n = (int)G.size();
+    std::vector<bool> visited(n, false);
+    std::vector<int> dfn(n, 0);
+    int count = 1;
+
+    logger.println("从顶点 0 开始图的广度优先遍历");
+    Tracer::delay();
+    BFSRec(G, 0, visited, dfn, count, graphTracer, tableTracer, queueTracer, logger);
+
+    // 输出连通性判断
+    bool connected = true;
+    for (int i = 0; i < n; ++i)
+        if (!visited[i])
+        {
+            connected = false;
+            break;
+        }
+    if (connected)
+        logger.println("所有顶点都已遍历，该图连通");
+    else
+        logger.println("存在未遍历的顶点，该图不连通");
+    Tracer::delay();
+
+    // 若图不连通，可尝试对剩余未访问顶点再调用BFS，用于其余目的（保证遍历全部连通分量）
+    // for (int i = 0; i < n; ++i) {
+    //     if (!visited[i]) {
+    //         BFSRec(G, i, visited, dfn, count, graphTracer, tableTracer, queueTracer, logger);
+    //     }
+    // }
+}
+
+int main()
+{
+    GraphTracer graphTracer = GraphTracer("BFS 图遍历").directed(false);
+    Array2DTracer tableTracer = Array2DTracer("广度优先编号");
+    Array1DTracer queueTracer = Array1DTracer("队列 Q");
+    LogTracer logger = LogTracer("运行日志");
+    Layout::setRoot(VerticalLayout({graphTracer, tableTracer, queueTracer, logger}));
+
+    // 固定示例图（无向）——便于测试和复现
+    int N = 7;
+    json Gjson = json::array();
+    for (int i = 0; i < N; ++i)
+    {
+        json row = json::array();
+        for (int j = 0; j < N; ++j)
+            row.push_back(0);
+        Gjson.push_back(row);
+    }
+    auto addEdge = [&](int a, int b)
+    { if (a>=0 && a<N && b>=0 && b<N) { Gjson[a][b]=1; Gjson[b][a]=1; } };
+
+    addEdge(0, 1);
+    addEdge(0, 2);
+    addEdge(1, 3);
+    addEdge(1, 4);
+    addEdge(2, 5);
+    addEdge(2, 6);
+    addEdge(0, 3);
+    addEdge(0, 4);
+    addEdge(1, 5);
+    addEdge(3, 6);
+    addEdge(4, 6);
+
+    graphTracer.set(Gjson);
+    graphTracer.layoutCircle();
+
+    // 可视化，展示广度优先编号，第一行为顶点，第二行为广度优先编号
+    json row0 = json::array();
+    json row1 = json::array();
+    row0.push_back("顶点");
+    row1.push_back("广度优先编号");
+    for (int i = 0; i < N; ++i)
+    {
+        row0.push_back(std::to_string(i));
+        row1.push_back(std::string("-"));
+    }
+    json table = json::array();
+    table.push_back(row0);
+    table.push_back(row1);
+    tableTracer.set(table);
+    Tracer::delay();
+
+    // 将 json 转为邻接矩阵 vector<vector<int>>
+    std::vector<std::vector<int>> G;
+    for (size_t i = 0; i < Gjson.size(); ++i)
+    {
+        std::vector<int> row;
+        for (size_t j = 0; j < Gjson[i].size(); ++j)
+            row.push_back((int)Gjson[i][j]);
+        G.push_back(row);
+    }
+
+    // 调用 BFSTraverse
+    BFSTraverse(G, graphTracer, tableTracer, queueTracer, logger);
+
+    return 0;
+}
diff --git a/Finished/BFS/BFS-Graph.exe b/Finished/BFS/BFS-Graph.exe
new file mode 100755
index 0000000..c9411c7
Binary files /dev/null and b/Finished/BFS/BFS-Graph.exe differ
diff --git a/Finished/BFS/BFS-Graph.json b/Finished/BFS/BFS-Graph.json
new file mode 100644
index 0000000..478e8ed
--- /dev/null
+++ b/Finished/BFS/BFS-Graph.json
@@ -0,0 +1 @@
+[{"args":["BFS 图遍历"],"key":"bj5hxmga","method":"GraphTracer"},{"args":[false],"key":"bj5hxmga","method":"directed"},{"args":["广度优先编号"],"key":"n4hyh972","method":"Array2DTracer"},{"args":["队列 Q"],"key":"cdphop8q","method":"Array1DTracer"},{"args":["运行日志"],"key":"7g93ip3u","method":"LogTracer"},{"args":[["bj5hxmga","n4hyh972","cdphop8q","7g93ip3u"]],"key":"h9z3qwaz","method":"VerticalLayout"},{"args":["h9z3qwaz"],"key":null,"method":"setRoot"},{"args":[[[0,1,1,1,1,0,0],[1,0,0,1,1,1,0],[1,0,0,0,0,1,1],[1,1,0,0,0,0,1],[1,1,0,0,0,0,1],[0,1,1,0,0,0,0],[0,0,1,1,1,0,0]]],"key":"bj5hxmga","method":"set"},{"args":[],"key":"bj5hxmga","method":"layoutCircle"},{"args":[[["顶点","0","1","2","3","4","5","6"],["广度优先编号","-","-","-","-","-","-","-"]]],"key":"n4hyh972","method":"set"},{"args":[],"key":null,"method":"delay"},{"args":["从顶点 0 开始图的广度优先遍历"],"key":"7g93ip3u","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"bj5hxmga","method":"visit"},{"args":[1,1,1],"key":"n4hyh972","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,1],"key":"n4hyh972","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[[0]],"key":"cdphop8q","method":"set"},{"args":["顶点 0 入队，队列大小= 1"],"key":"7g93ip3u","method":"println"},{"args":[0],"key":"bj5hxmga","method":"leave"},{"args":[0],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"cdphop8q","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"cdphop8q","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[[]],"key":"cdphop8q","method":"set"},{"args":["顶点 0 出队，队列大小= 0"],"key":"7g93ip3u","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"bj5hxmga","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[0,1],"key":"bj5hxmga","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[1,2,2],"key":"n4hyh972","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,2],"key":"n4hyh972","method":"depatch"},{"args":[1],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[[1]],"key":"cdphop8q","method":"set"},{"args":["顶点 1 入队，队列大小= 1"],"key":"7g93ip3u","method":"println"},{"args":[1],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[1],"key":"bj5hxmga","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[0,1],"key":"bj5hxmga","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[0,2],"key":"bj5hxmga","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[1,3,3],"key":"n4hyh972","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,3],"key":"n4hyh972","method":"depatch"},{"args":[2],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[[1,2]],"key":"cdphop8q","method":"set"},{"args":["顶点 2 入队，队列大小= 2"],"key":"7g93ip3u","method":"println"},{"args":[2],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[2],"key":"bj5hxmga","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[0,2],"key":"bj5hxmga","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[0,3],"key":"bj5hxmga","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[1,4,4],"key":"n4hyh972","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,4],"key":"n4hyh972","method":"depatch"},{"args":[3],"key":"bj5hxmga","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[[1,2,3]],"key":"cdphop8q","method":"set"},{"args":["顶点 3 入队，队列大小= 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\ No newline at end of file
diff --git a/Finished/BFS/BFS-Tree.cpp b/Finished/BFS/BFS-Tree.cpp
new file mode 100644
index 0000000..03745c5
--- /dev/null
+++ b/Finished/BFS/BFS-Tree.cpp
@@ -0,0 +1,217 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+#include <queue>
+
+using json = nlohmann::json;
+
+// 从顶点 k 出发的一次 BFS
+void BFSRec(const std::vector<std::vector<int>> &G, int k,
+            std::vector<bool> &visited, std::vector<int> &dfn, int &count,
+            GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger)
+{
+    std::queue<int> Q;
+    // 访问顶点 k
+    visited[k] = true;
+    dfn[k] = count++;
+
+    // 可视化：标记并在表格中写入编号
+    graphTracer.visit(k);
+    tableTracer.patch(1, k + 1, dfn[k]);
+    Tracer::delay();
+
+    tableTracer.depatch(1, k + 1);
+    Tracer::delay();
+
+    // 更新队列可视化（入队 k）
+    std::vector<int> qview;
+    Q.push(k);
+    qview.push_back(k);
+    // 显示队列中实际内容（不限定长度），并记录长度变化
+    json qjson = json::array();
+    for (int x : qview)
+        qjson.push_back(x);
+    queueTracer.set(qjson);
+    logger.println(std::string("顶点 ") + std::to_string(k) + " 入队，队列大小= " + std::to_string((int)qview.size()));
+    graphTracer.leave(k);
+    graphTracer.select(k);
+    Tracer::delay();
+
+    while (!Q.empty())
+    {
+        int v = Q.front();
+        Q.pop();
+
+        queueTracer.select(0); // 高亮队首
+        Tracer::delay();
+        queueTracer.deselect(0);
+        Tracer::delay();
+        // 更新队列可视化（出队）: remove front from qview
+        if (!qview.empty())
+        {
+            qview.erase(qview.begin());
+        }
+        json qjson2 = json::array();
+        for (int x : qview)
+            qjson2.push_back(x);
+        queueTracer.set(qjson2);
+        logger.println(std::string("顶点 ") + std::to_string(v) + " 出队，队列大小= " + std::to_string((int)qview.size()));
+        Tracer::delay();
+        // 可视化：高亮当前出队的节点
+        graphTracer.visit(v);
+        Tracer::delay();
+
+        // 遍历 v 的所有邻接点
+        for (int w = 0; w < (int)G.size(); ++w)
+        {
+            if (G[v][w])
+            {
+                if (visited[w])
+                {
+                    logger.println(std::string("顶点 ") + std::to_string(w) + " 已访问，跳过");
+                    Tracer::delay();
+                    continue;
+                }
+                // 可视化经过边 (v,w)
+                graphTracer.visit(v, w);
+                Tracer::delay();
+                if (!visited[w])
+                {
+                    // 访问顶点 w
+                    visited[w] = true;
+                    dfn[w] = count++;
+                    // 在表格里同步填写 dfn
+                    tableTracer.patch(1, w + 1, dfn[w]);
+                    Tracer::delay();
+                    tableTracer.depatch(1, w + 1);
+                    graphTracer.select(w);
+                    Tracer::delay();
+
+                    // 将 w 入队并在图上标记
+                    Q.push(w);
+                    qview.push_back(w);
+                    // 更新队列显示（仅显示实际元素）并记录长度
+                    json qjson3 = json::array();
+                    for (int x : qview)
+                        qjson3.push_back(x);
+                    queueTracer.set(qjson3);
+                    logger.println(std::string("顶点 ") + std::to_string(w) + " 入队，队列大小= " + std::to_string((int)qview.size()));
+                    graphTracer.select(w);
+                    Tracer::delay();
+                    graphTracer.deselect(w);
+                    Tracer::delay();
+                }
+                // 取消临时访问高亮
+                graphTracer.leave(v, w);
+                Tracer::delay();
+            }
+        }
+        // 取消当前节点的持久选中
+        graphTracer.leave(v);
+        Tracer::delay();
+    }
+}
+
+// 主算法
+void BFSTraverse(const std::vector<std::vector<int>> &G,
+                 GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger)
+{
+    int n = (int)G.size();
+    std::vector<bool> visited(n, false);
+    std::vector<int> dfn(n, 0);
+    int count = 1;
+
+    logger.println("从顶点 0 开始图的广度优先遍历");
+    Tracer::delay();
+    BFSRec(G, 0, visited, dfn, count, graphTracer, tableTracer, queueTracer, logger);
+
+    // 输出连通性判断
+    bool connected = true;
+    for (int i = 0; i < n; ++i)
+        if (!visited[i])
+        {
+            connected = false;
+            break;
+        }
+    if (connected)
+        logger.println("所有顶点都已遍历，该图连通");
+    else
+        logger.println("存在未遍历的顶点，该图不连通");
+    Tracer::delay();
+
+    // 若图不连通，可尝试对剩余未访问顶点再调用BFS，用于其余目的（保证遍历全部连通分量）
+    // for (int i = 0; i < n; ++i) {
+    //     if (!visited[i]) {
+    //         BFSRec(G, i, visited, dfn, count, graphTracer, tableTracer, queueTracer, logger);
+    //     }
+    // }
+}
+
+int main()
+{
+    GraphTracer graphTracer = GraphTracer("BFS 树遍历").directed(false);
+    Array2DTracer tableTracer = Array2DTracer("广度优先编号");
+    Array1DTracer queueTracer = Array1DTracer("队列 Q");
+    LogTracer logger = LogTracer("运行日志");
+    Layout::setRoot(VerticalLayout({graphTracer, tableTracer, queueTracer, logger}));
+
+    // 固定示例二叉树（无向）——便于测试和复现
+    int N = 11; // 完备二叉树 11 个节点（0..10）
+    json Gjson = json::array();
+    for (int i = 0; i < N; ++i)
+    {
+        json row = json::array();
+        for (int j = 0; j < N; ++j)
+            row.push_back(0);
+        Gjson.push_back(row);
+    }
+    auto addEdge = [&](int a, int b)
+    { if (a>=0 && a<N && b>=0 && b<N) { Gjson[a][b]=1; Gjson[b][a]=1; } };
+    for (int i = 0; i < N; ++i)
+    {
+        int l = 2 * i + 1;
+        int r = 2 * i + 2;
+        addEdge(i, l);
+        addEdge(i, r);
+    }
+
+    graphTracer.set(Gjson);
+    graphTracer.layoutTree(); // 布局为树形
+
+    // 可视化，展示广度优先编号，第一行为顶点，第二行为广度优先编号
+    json row0 = json::array();
+    json row1 = json::array();
+    row0.push_back("顶点");
+    row1.push_back("广度优先编号");
+    for (int i = 0; i < N; ++i)
+    {
+        row0.push_back(std::to_string(i));
+        row1.push_back(std::string("-"));
+    }
+    json table = json::array();
+    table.push_back(row0);
+    table.push_back(row1);
+    tableTracer.set(table);
+    Tracer::delay();
+
+    // 将 json 转为邻接矩阵 vector<vector<int>>
+    std::vector<std::vector<int>> G;
+    for (size_t i = 0; i < Gjson.size(); ++i)
+    {
+        std::vector<int> row;
+        for (size_t j = 0; j < Gjson[i].size(); ++j)
+            row.push_back((int)Gjson[i][j]);
+        G.push_back(row);
+    }
+
+    // 初始化队列可视化为空
+    json qinit = json::array();
+    queueTracer.set(qinit);
+    Tracer::delay();
+
+    // 调用 BFSTraverse
+    BFSTraverse(G, graphTracer, tableTracer, queueTracer, logger);
+
+    return 0;
+}
diff --git a/Finished/BFS/BFS-Tree.exe b/Finished/BFS/BFS-Tree.exe
new file mode 100755
index 0000000..bb72626
Binary files /dev/null and b/Finished/BFS/BFS-Tree.exe differ
diff --git a/Finished/BFS/BFS-Tree.json b/Finished/BFS/BFS-Tree.json
new file mode 100644
index 0000000..b10f5bc
--- /dev/null
+++ b/Finished/BFS/BFS-Tree.json
@@ -0,0 +1 @@
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diff --git a/Finished/Binary-Tree-Traversal/InOrder.cpp b/Finished/Binary-Tree-Traversal/InOrder.cpp
new file mode 100644
index 0000000..fdd88ed
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/InOrder.cpp
@@ -0,0 +1,114 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+#include <array>
+
+using json = nlohmann::json;
+
+// 单独实现 InOrder 函数（中序：左 - 根 - 右）
+void InOrder(int root, int parent,
+             const std::vector<std::array<int,2>>& T,
+             GraphTracer &treeTracer, Array1DTracer &arrayTracer, LogTracer &logger,
+             int &index)
+{
+    if (root == -1) {
+        logger.println("该结点不存在，回溯中...");
+        Tracer::delay();
+        return;
+    }
+    // 输出访问信息
+    logger.println(std::string("到达结点：") + std::to_string(root));
+    treeTracer.visit(root, parent);
+    Tracer::delay();
+
+    // 访问左子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的左子树");
+    Tracer::delay();
+    InOrder(T[root][0], root, T, treeTracer, arrayTracer, logger, index);
+
+    // 访问根
+    logger.println(std::string("到达结点：") + std::to_string(root));
+    Tracer::delay();
+
+    logger.println(std::string("打印结点：") + std::to_string(root));
+    treeTracer.leave(root, parent);
+    arrayTracer.patch(index++, root);
+    Tracer::delay();
+
+    // 访问右子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的右子树");
+    Tracer::delay();
+    InOrder(T[root][1], root, T, treeTracer, arrayTracer, logger, index);
+
+}
+
+int main()
+{
+    // 邻接矩阵表示图 G（用于展示）
+    std::vector<std::vector<int>> G = {
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {1,0,1,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,1,0,0,1,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,1,0,0,0,0,0,1,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,1,0,1,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,1,0,0,0,1,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,1,0,1},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0}
+    };
+
+    // T[i] = {left, right}
+    std::vector<std::array<int,2>> T = {
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{0,2},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{1,4},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{3,9},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{6,8},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{7,11},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{10,12},
+        std::array<int,2>{-1,-1}
+    };
+
+    // Tracers
+    GraphTracer treeTracer = GraphTracer("中序遍历");
+    Array1DTracer arrayTracer = Array1DTracer("中序遍历结果打印");
+    LogTracer logger = LogTracer("运行日志");
+
+    Layout::setRoot(VerticalLayout({treeTracer, arrayTracer, logger}));
+
+    // convert G to json array2d 并设置到 tracer
+    json Gjson = json::array();
+    for (auto &row : G) {
+        json r = json::array();
+        for (int v : row) r.push_back(v);
+        Gjson.push_back(r);
+    }
+    treeTracer.set(Gjson);
+    treeTracer.layoutTree(5);
+
+    // 初始化 arrayTracer
+    int n = (int)T.size();
+    std::vector<json> adisp(n);
+    for (int i = 0; i < n; ++i) adisp[i] = "-";
+    arrayTracer.set(adisp);
+    Tracer::delay();
+
+    int index = 0;
+
+    // 调用单独实现的 InOrder（从根 5 开始）
+    InOrder(5, -1, T, treeTracer, arrayTracer, logger, index);
+
+    logger.println("中序遍历结束");
+
+    return 0;
+}
\ No newline at end of file
diff --git a/Finished/Binary-Tree-Traversal/InOrder.exe b/Finished/Binary-Tree-Traversal/InOrder.exe
new file mode 100755
index 0000000..a4b3da1
Binary files /dev/null and b/Finished/Binary-Tree-Traversal/InOrder.exe differ
diff --git a/Finished/Binary-Tree-Traversal/InOrder.json b/Finished/Binary-Tree-Traversal/InOrder.json
new file mode 100644
index 0000000..01ac0b2
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/InOrder.json
@@ -0,0 +1 @@
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diff --git a/Finished/Binary-Tree-Traversal/PostOrder.cpp b/Finished/Binary-Tree-Traversal/PostOrder.cpp
new file mode 100644
index 0000000..4d1f3dc
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/PostOrder.cpp
@@ -0,0 +1,110 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+#include <array>
+
+using json = nlohmann::json;
+
+// 单独实现 PostOrder 函数（后序：左 - 右 - 根）
+void PostOrder(int root, int parent,
+               const std::vector<std::array<int,2>>& T,
+               GraphTracer &treeTracer, Array1DTracer &arrayTracer, LogTracer &logger,
+               int &index)
+{
+    if (root == -1) {
+        logger.println("该结点不存在，回溯中...");
+        Tracer::delay();
+        return;
+    }
+    // 输出访问信息
+    logger.println(std::string("到达结点：") + std::to_string(root));
+    treeTracer.visit(root, parent);
+    Tracer::delay();
+
+    // 先访问左子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的左子树");
+    Tracer::delay();
+    PostOrder(T[root][0], root, T, treeTracer, arrayTracer, logger, index);
+
+    // 然后访问右子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的右子树");
+    Tracer::delay();
+    PostOrder(T[root][1], root, T, treeTracer, arrayTracer, logger, index);
+
+    logger.println(std::string("打印结点：") + std::to_string(root));
+    treeTracer.leave(root, parent);
+    arrayTracer.patch(index++, root);
+    Tracer::delay();
+}
+
+int main()
+{
+    // 邻接矩阵表示图 G（用于展示）
+    std::vector<std::vector<int>> G = {
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {1,0,1,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,1,0,0,1,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,1,0,0,0,0,0,1,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,1,0,1,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,1,0,0,0,1,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,1,0,1},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0}
+    };
+
+    // T[i] = {left, right}
+    std::vector<std::array<int,2>> T = {
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{0,2},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{1,4},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{3,9},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{6,8},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{7,11},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{10,12},
+        std::array<int,2>{-1,-1}
+    };
+
+    // Tracers
+    GraphTracer treeTracer = GraphTracer("后序遍历");
+    Array1DTracer arrayTracer = Array1DTracer("后序遍历结果打印");
+    LogTracer logger = LogTracer("运行日志");
+
+    Layout::setRoot(VerticalLayout({treeTracer, arrayTracer, logger}));
+
+    // convert G to json array2d 并设置到 tracer
+    json Gjson = json::array();
+    for (auto &row : G) {
+        json r = json::array();
+        for (int v : row) r.push_back(v);
+        Gjson.push_back(r);
+    }
+    treeTracer.set(Gjson);
+    treeTracer.layoutTree(5);
+
+    // 初始化 arrayTracer
+    int n = (int)T.size();
+    std::vector<json> adisp(n);
+    for (int i = 0; i < n; ++i) adisp[i] = "-";
+    arrayTracer.set(adisp);
+    Tracer::delay();
+
+    int index = 0;
+
+    // 调用单独实现的 PostOrder（从根 5 开始）
+    PostOrder(5, -1, T, treeTracer, arrayTracer, logger, index);
+
+    logger.println("后序遍历结束");
+
+    return 0;
+}
+
diff --git a/Finished/Binary-Tree-Traversal/PostOrder.exe b/Finished/Binary-Tree-Traversal/PostOrder.exe
new file mode 100755
index 0000000..479e0a0
Binary files /dev/null and b/Finished/Binary-Tree-Traversal/PostOrder.exe differ
diff --git a/Finished/Binary-Tree-Traversal/PostOrder.json b/Finished/Binary-Tree-Traversal/PostOrder.json
new file mode 100644
index 0000000..ab4c408
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/PostOrder.json
@@ -0,0 +1 @@
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diff --git a/Finished/Binary-Tree-Traversal/PreOrder.cpp b/Finished/Binary-Tree-Traversal/PreOrder.cpp
new file mode 100644
index 0000000..caf5dc1
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/PreOrder.cpp
@@ -0,0 +1,109 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+// 单独实现 PreOrder 函数（中序：左 - 根 - 右）
+void PreOrder(int root, int parent,
+             const std::vector<std::array<int,2>>& T,
+             GraphTracer &treeTracer, Array1DTracer &arrayTracer, LogTracer &logger,
+             int &index)
+{
+    if (root == -1) {
+        logger.println("该结点不存在，回溯中...");
+        Tracer::delay();
+        return;
+    }
+
+    // 输出访问信息
+    logger.println(std::string("到达结点：") + std::to_string(root));
+    treeTracer.visit(root, parent);
+    Tracer::delay();
+
+    logger.println(std::string("打印结点：") + std::to_string(root));
+    treeTracer.leave(root, parent);
+    arrayTracer.patch(index++, root);
+    Tracer::delay();
+
+    // 访问左子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的左子树");
+    Tracer::delay();
+    PreOrder(T[root][0], root, T, treeTracer, arrayTracer, logger, index);
+
+    // 访问右子树
+    logger.println(std::string("访问 ") + std::to_string(root) + " 的右子树");
+    Tracer::delay();
+    PreOrder(T[root][1], root, T, treeTracer, arrayTracer, logger, index);
+}
+
+int main()
+{
+    // 邻接矩阵表示图 G（用于展示）
+    std::vector<std::vector<int>> G = {
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {1,0,1,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,1,0,0,1,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,1,0,0,0,0,0,1,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,1,0,1,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,1,0,0,0,1,0},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0},
+        {0,0,0,0,0,0,0,0,0,0,1,0,1},
+        {0,0,0,0,0,0,0,0,0,0,0,0,0}
+    };
+
+    // T[i] = {left, right}
+    std::vector<std::array<int,2>> T = {
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{0,2},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{1,4},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{3,9},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{6,8},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{7,11},
+        std::array<int,2>{-1,-1},
+        std::array<int,2>{10,12},
+        std::array<int,2>{-1,-1}
+    };
+
+    // Tracers
+    GraphTracer treeTracer = GraphTracer("先序遍历");
+    Array1DTracer arrayTracer = Array1DTracer("先序遍历结果打印");
+    LogTracer logger = LogTracer("运行日志");
+
+    Layout::setRoot(VerticalLayout({treeTracer, arrayTracer, logger}));
+
+    // convert G to json array2d
+    json Gjson = json::array();
+    for (auto &row : G) {
+        json r = json::array();
+        for (int v : row) r.push_back(v);
+        Gjson.push_back(r);
+    }
+    treeTracer.set(Gjson);
+    treeTracer.layoutTree(5);
+
+    // initialize arrayTracer with '-' entries
+    int n = (int)T.size();
+    std::vector<json> adisp(n);
+    for (int i = 0; i < n; ++i) adisp[i] = "-";
+    arrayTracer.set(adisp);
+    Tracer::delay();
+
+    int index = 0;
+
+    // start traversal from node 5
+    PreOrder(5, -1, T, treeTracer, arrayTracer, logger, index);
+
+    logger.println("先序遍历结束");
+
+    return 0;
+}
diff --git a/Finished/Binary-Tree-Traversal/PreOrder.exe b/Finished/Binary-Tree-Traversal/PreOrder.exe
new file mode 100755
index 0000000..5774d32
Binary files /dev/null and b/Finished/Binary-Tree-Traversal/PreOrder.exe differ
diff --git a/Finished/Binary-Tree-Traversal/PreOrder.json b/Finished/Binary-Tree-Traversal/PreOrder.json
new file mode 100644
index 0000000..731a72f
--- /dev/null
+++ b/Finished/Binary-Tree-Traversal/PreOrder.json
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的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["到达结点：8"],"key":"656jauzy","method":"println"},{"args":[8,7],"key":"tdoyix1x","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":["打印结点：8"],"key":"656jauzy","method":"println"},{"args":[8,7],"key":"tdoyix1x","method":"leave"},{"args":[9,8],"key":"jk2jpw4y","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":["访问 8 的左子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["访问 8 的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["访问 9 的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["到达结点：11"],"key":"656jauzy","method":"println"},{"args":[11,9],"key":"tdoyix1x","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":["打印结点：11"],"key":"656jauzy","method":"println"},{"args":[11,9],"key":"tdoyix1x","method":"leave"},{"args":[10,11],"key":"jk2jpw4y","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":["访问 11 的左子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["到达结点：10"],"key":"656jauzy","method":"println"},{"args":[10,11],"key":"tdoyix1x","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":["打印结点：10"],"key":"656jauzy","method":"println"},{"args":[10,11],"key":"tdoyix1x","method":"leave"},{"args":[11,10],"key":"jk2jpw4y","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":["访问 10 的左子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["访问 10 的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["访问 11 的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["到达结点：12"],"key":"656jauzy","method":"println"},{"args":[12,11],"key":"tdoyix1x","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":["打印结点：12"],"key":"656jauzy","method":"println"},{"args":[12,11],"key":"tdoyix1x","method":"leave"},{"args":[12,12],"key":"jk2jpw4y","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":["访问 12 的左子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["访问 12 的右子树"],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["该结点不存在，回溯中..."],"key":"656jauzy","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":["先序遍历结束"],"key":"656jauzy","method":"println"}]
\ No newline at end of file
diff --git a/Finished/DFS/DFS-Graph.cpp b/Finished/DFS/DFS-Graph.cpp
new file mode 100644
index 0000000..664bed5
--- /dev/null
+++ b/Finished/DFS/DFS-Graph.cpp
@@ -0,0 +1,126 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+// 递归实现的 DFS（与图片中的 DFS2 思路一致）
+// G: 邻接矩阵（0/1），i: 当前访问顶点，parent: 父节点（-1 表示无）
+// dfn: 深度优先编号数组，visited: 访问标记，cnt: 编号计数器（引用传递）
+// graphTracer, tableTracer, logger 用于可视化
+void DFSRec(const std::vector<std::vector<int>> &G, int i, int parent,
+            std::vector<int> &dfn, std::vector<bool> &visited, int &cnt,
+            GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger)
+{
+    // 访问顶点 i
+    visited[i] = true;
+    dfn[i] = ++cnt;
+
+    // 可视化：标注节点（高亮访问）并在表格中填写编号
+    if (parent >= 0) {
+        graphTracer.visit(i, parent);
+    } else {
+        graphTracer.visit(i);
+    }
+    // 在 tableTracer 第二行（索引 1）第 i 列写入 dfn 值
+    tableTracer.patch(1, i + 1, dfn[i]);
+    Tracer::delay();
+    tableTracer.depatch(1, i + 1);
+    Tracer::delay();
+
+    // 遍历邻接顶点
+    for (int j = 0; j < (int)G.size(); ++j) {
+        if (G[i][j] && !visited[j]) {
+            // 可视化当前遍历的边
+            graphTracer.visit(i, j);
+            Tracer::delay();
+            DFSRec(G, j, i, dfn, visited, cnt, graphTracer, tableTracer, logger);
+        }
+    }
+}
+
+// DFS函数（以顶点 i 为起点进行深度优先）
+void DFS(const std::vector<std::vector<int>> &G, int start,
+         GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger)
+{
+    int n = (int)G.size();
+    std::vector<bool> visited(n, false);
+    std::vector<int> dfn(n, 0);
+    int cnt = 0;
+    logger.println("从顶点 " + std::to_string(start) + " 开始深度优先遍历");
+    Tracer::delay();
+    // 从start开始 DFS
+    DFSRec(G, start, -1, dfn, visited, cnt, graphTracer, tableTracer, logger);
+
+    // 输出连通性判断
+    bool connected = true;
+    for (int i = 0; i < n; ++i) if (!visited[i]) { connected = false; break; }
+    if (connected) logger.println("所有顶点都已遍历，该图连通");
+    else logger.println("存在未遍历的顶点，该图不连通");
+    Tracer::delay();
+
+    // 若图不连通，可尝试对剩余未访问顶点再调用DFS，用于其余目的（保证遍历全部连通分量）
+    // for (int i = 0; i < n; ++i) {
+    //     if (!visited[i]) {
+    //         DFSRec(G, i, -1, dfn, visited, cnt, graphTracer, tableTracer, logger);
+    //     }
+    // }
+}
+
+int main()
+{
+    GraphTracer graphTracer = GraphTracer("图的深度优先遍历").directed(false);
+    Array2DTracer tableTracer = Array2DTracer("深度优先编号");
+    LogTracer logger = LogTracer("运行日志");
+    Layout::setRoot(VerticalLayout({graphTracer, tableTracer, logger}));
+
+    // 使用固定示例邻接矩阵（确定性、便于测试）
+    json Gjson = json::array();
+    int N = 7;
+    for (int i = 0; i < N; ++i) {
+        json row = json::array();
+        for (int j = 0; j < N; ++j) row.push_back(0);
+        Gjson.push_back(row);
+    }
+    // 添加若干边（无向）
+    auto addEdge = [&](int a, int b) {
+        Gjson[a][b] = 1;
+        Gjson[b][a] = 1;
+    };
+    addEdge(1,2); addEdge(1,3); addEdge(1,4); addEdge(2,4); addEdge(2,6);
+    addEdge(3,4); addEdge(3,5); addEdge(4,5); addEdge(4,6); addEdge(5,6);
+    graphTracer.set(Gjson);
+    // 使用圆形布局避免节点在一条直线
+    graphTracer.layoutCircle();
+
+    // 初始化表格：第一行为顶点编号（0..n-1），第二行为 DFN（初始为 "-"）
+    json row0 = json::array();
+    json row1 = json::array();
+    row0.push_back("顶点");
+    row1.push_back("深度优先编号");
+    for (int i = 1; i < N+1; ++i) {
+        row0.push_back(std::to_string(i - 1));
+        row1.push_back(std::string("-"));
+    }
+    json table = json::array();
+    table.push_back(row0);
+    table.push_back(row1);
+    tableTracer.set(table);
+    Tracer::delay();
+
+    // 把邻接矩阵转成 std::vector<std::vector<int>>
+    std::vector<std::vector<int>> G;
+    for (size_t i = 0; i < Gjson.size(); ++i) {
+        std::vector<int> row;
+        for (size_t j = 0; j < Gjson[i].size(); ++j) {
+            row.push_back((int)Gjson[i][j]);
+        }
+        G.push_back(row);
+    }
+
+    // 进行深度优先遍历（从顶点 1 开始）
+    DFS(G, 1, graphTracer, tableTracer, logger);
+
+    return 0;
+}
\ No newline at end of file
diff --git a/Finished/DFS/DFS-Graph.exe b/Finished/DFS/DFS-Graph.exe
new file mode 100755
index 0000000..d2a74f2
Binary files /dev/null and b/Finished/DFS/DFS-Graph.exe differ
diff --git a/Finished/DFS/DFS-Graph.json b/Finished/DFS/DFS-Graph.json
new file mode 100644
index 0000000..72a61b2
--- /dev/null
+++ b/Finished/DFS/DFS-Graph.json
@@ -0,0 +1 @@
+[{"args":["图的深度优先遍历"],"key":"nbf3xbn6","method":"GraphTracer"},{"args":[false],"key":"nbf3xbn6","method":"directed"},{"args":["深度优先编号"],"key":"zyted1bb","method":"Array2DTracer"},{"args":["运行日志"],"key":"0jvj46nu","method":"LogTracer"},{"args":[["nbf3xbn6","zyted1bb","0jvj46nu"]],"key":"npiw3fxr","method":"VerticalLayout"},{"args":["npiw3fxr"],"key":null,"method":"setRoot"},{"args":[[[0,0,0,0,0,0,0],[0,0,1,1,1,0,0],[0,1,0,0,1,0,1],[0,1,0,0,1,1,0],[0,1,1,1,0,1,1],[0,0,0,1,1,0,1],[0,0,1,0,1,1,0]]],"key":"nbf3xbn6","method":"set"},{"args":[],"key":"nbf3xbn6","method":"layoutCircle"},{"args":[[["顶点","0","1","2","3","4","5","6"],["深度优先编号","-","-","-","-","-","-","-"]]],"key":"zyted1bb","method":"set"},{"args":[],"key":null,"method":"delay"},{"args":["从顶点 1 开始深度优先遍历"],"key":"0jvj46nu","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1],"key":"nbf3xbn6","method":"visit"},{"args":[1,2,1],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,2],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[1,2],"key":"nbf3xbn6","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[2,1],"key":"nbf3xbn6","method":"visit"},{"args":[1,3,2],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,3],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[2,4],"key":"nbf3xbn6","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[4,2],"key":"nbf3xbn6","method":"visit"},{"args":[1,5,3],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,5],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[4,3],"key":"nbf3xbn6","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[3,4],"key":"nbf3xbn6","method":"visit"},{"args":[1,4,4],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,4],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[3,5],"key":"nbf3xbn6","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[5,3],"key":"nbf3xbn6","method":"visit"},{"args":[1,6,5],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,6],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":[5,6],"key":"nbf3xbn6","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[6,5],"key":"nbf3xbn6","method":"visit"},{"args":[1,7,6],"key":"zyted1bb","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[1,7],"key":"zyted1bb","method":"depatch"},{"args":[],"key":null,"method":"delay"},{"args":["存在未遍历的顶点，该图不连通"],"key":"0jvj46nu","method":"println"},{"args":[],"key":null,"method":"delay"}]
\ No newline at end of file
diff --git a/Finished/DFS/DFS-Tree.cpp b/Finished/DFS/DFS-Tree.cpp
new file mode 100644
index 0000000..e56db69
--- /dev/null
+++ b/Finished/DFS/DFS-Tree.cpp
@@ -0,0 +1,130 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+// 递归实现的 DFS（与图片中的 DFS2 思路一致）
+// G: 邻接矩阵（0/1），i: 当前访问顶点，parent: 父节点（-1 表示无）
+// dfn: 深度优先编号数组，visited: 访问标记，cnt: 编号计数器（引用传递）
+// graphTracer, tableTracer, logger 用于可视化
+void DFSRec(const std::vector<std::vector<int>> &G, int i, int parent,
+            std::vector<int> &dfn, std::vector<bool> &visited, int &cnt,
+            GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger)
+{
+    // 访问顶点 i
+    visited[i] = true;
+    dfn[i] = ++cnt;
+
+    // 可视化：标注节点（高亮访问）并在表格中填写编号
+    if (parent >= 0) {
+        graphTracer.visit(i, parent);
+    } else {
+        graphTracer.visit(i);
+    }
+    // 在 tableTracer 第二行（索引 1）第 i+1 列写入 dfn 值（第一列为表头）
+    tableTracer.patch(1, i + 1, dfn[i]);
+    Tracer::delay();
+    tableTracer.depatch(1, i + 1);
+    Tracer::delay();
+
+    // 遍历邻接顶点
+    for (int j = 0; j < (int)G.size(); ++j) {
+        if (G[i][j] && !visited[j]) {
+            // 可视化当前遍历的边
+            graphTracer.visit(i, j);
+            Tracer::delay();
+            DFSRec(G, j, i, dfn, visited, cnt, graphTracer, tableTracer, logger);
+        }
+    }
+}
+
+// 对外的 DFS 函数：按照图片的 DFS2 风格（以顶点 i 为起点进行深度优先）
+void DFS(const std::vector<std::vector<int>> &G, int start,
+         GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger)
+{
+    int n = (int)G.size();
+    std::vector<bool> visited(n, false);
+    std::vector<int> dfn(n, 0);
+    int cnt = 0;
+    logger.println("从顶点 " + std::to_string(start) + " 开始深度优先遍历");
+    Tracer::delay();
+
+    // 初始化表格：第一列为表头，第一行为顶点编号，第二行为 DFN（初始为 "-"）
+
+
+    // 从 start 开始 DFS
+    DFSRec(G, start, -1, dfn, visited, cnt, graphTracer, tableTracer, logger);
+    // 输出连通性判断
+    bool connected = true;
+    for (int i = 0; i < n; ++i) if (!visited[i]) { connected = false; break; }
+    if (connected) logger.println("所有顶点都已遍历，该图连通");
+    else logger.println("存在未遍历的顶点，该图不连通");
+    Tracer::delay();
+
+    // 若图不连通，可尝试对剩余未访问顶点再调用DFS，用于其余目的（保证遍历全部连通分量）
+    // for (int i = 0; i < n; ++i) {
+    //     if (!visited[i]) {
+    //         DFSRec(G, i, -1, dfn, visited, cnt, graphTracer, tableTracer, logger);
+    //     }
+    // }
+
+
+}
+
+int main()
+{
+    GraphTracer graphTracer = GraphTracer("二叉树的深度优先遍历").directed(false);
+    Array2DTracer tableTracer = Array2DTracer("深度优先编号");
+    LogTracer logger = LogTracer("运行日志");
+    Layout::setRoot(VerticalLayout({graphTracer, tableTracer, logger}));
+
+    // 构造固定的二叉树示例（无向图的邻接矩阵表示）
+    // 使用完备二叉树的结构：对于节点 i，左孩子 2*i+1，右孩子 2*i+2（若存在）
+    int N = 11; // 示例：7 个节点，索引 0..6
+    json Gjson = json::array();
+    for (int i = 0; i < N; ++i) {
+        json row = json::array();
+        for (int j = 0; j < N; ++j) row.push_back(0);
+        Gjson.push_back(row);
+    }
+    auto addEdge = [&](int a, int b){ if (a>=0 && a<N && b>=0 && b<N) { Gjson[a][b]=1; Gjson[b][a]=1; } };
+    for (int i = 0; i < N; ++i) {
+        int l = 2*i + 1;
+        int r = 2*i + 2;
+        addEdge(i, l);
+        addEdge(i, r);
+    }
+
+    graphTracer.set(Gjson);
+    graphTracer.layoutTree();
+
+    json row0 = json::array();
+    json row1 = json::array();
+    row0.push_back("顶点");
+    row1.push_back("深度优先编号");
+    for (int i = 0; i < N; ++i) {
+        row0.push_back(std::to_string(i));
+        row1.push_back(std::string("-"));
+    }
+    json table = json::array();
+    table.push_back(row0);
+    table.push_back(row1);
+    tableTracer.set(table);
+
+    Tracer::delay();
+
+    // 把邻接矩阵转成 std::vector<std::vector<int>>
+    std::vector<std::vector<int>> G;
+    for (size_t i = 0; i < Gjson.size(); ++i) {
+        std::vector<int> row;
+        for (size_t j = 0; j < Gjson[i].size(); ++j) row.push_back((int)Gjson[i][j]);
+        G.push_back(row);
+    }
+
+    // 从树根（0）开始深度优先遍历
+    DFS(G, 0, graphTracer, tableTracer, logger);
+
+    return 0;
+}
diff --git a/Finished/DFS/DFS-Tree.exe b/Finished/DFS/DFS-Tree.exe
new file mode 100755
index 0000000..3a67aa0
Binary files /dev/null and b/Finished/DFS/DFS-Tree.exe differ
diff --git a/Finished/DFS/DFS-Tree.json b/Finished/DFS/DFS-Tree.json
new file mode 100644
index 0000000..8314133
--- /dev/null
+++ b/Finished/DFS/DFS-Tree.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/Finished/HeapOperations/Heap-DeleteMax.cpp b/Finished/HeapOperations/Heap-DeleteMax.cpp
new file mode 100644
index 0000000..aa79c05
--- /dev/null
+++ b/Finished/HeapOperations/Heap-DeleteMax.cpp
@@ -0,0 +1,187 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+struct HEAP
+{
+    std::vector<int> data; // 1-based: data[0] unused
+    int n;
+    int capacity;
+    HEAP(int cap = 32) : data(cap + 1, 0), n(0), capacity(cap) {}
+};
+
+typedef int ElemType;
+
+Array1DTracer heapTracer = Array1DTracer("堆的数组形式");
+LogTracer logger = LogTracer("运行日志");
+GraphTracer heapGraph = GraphTracer("最大堆").directed(false);
+bool HeapFull(HEAP &heap)
+{
+    return (heap.n == heap.capacity);
+}
+
+// 更新图形化的堆树视图（binary heap visual）
+// 根据数组构建完全二叉树：对第 i 个节点（0-based），左孩子为 2*i+1，右孩子为 2*i+2
+void updateHeapGraph(HEAP &heap)
+{
+    int n = heap.n;
+    GraphTracer heapGraph_new = GraphTracer("最大堆").directed(false);
+    heapGraph = heapGraph_new;
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+    // 添加节点：使用连续的数值 id (0..n-1)，并把堆值作为 weight 显示
+    for (int i = 0; i < n; ++i)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        heapGraph.addNode(heap.data[i]);
+        if (left < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[left]);
+            heapGraph.addEdge(heap.data[left], heap.data[i]);
+        }
+        if (right < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[right]);
+            heapGraph.addEdge(heap.data[right], heap.data[i]);
+        }
+    }
+    heapGraph.layoutTree(heap.data[0]);
+}
+
+void DeleteMax(HEAP &heap)
+{
+    if (heap.n == 0)
+    {
+        logger.println("堆为空，无法删除元素");
+        Tracer::delay();
+        return;
+    }
+    int maxElem = heap.data[0];
+    logger.println("删除最大元素: " + std::to_string(maxElem) + "，并替换堆顶元素");
+    heapTracer.select(0);
+    heapGraph.select(heap.data[0]);
+    heapGraph.select(heap.data[heap.n-1]);
+    Tracer::delay();
+
+    heap.data[0] = heap.data[heap.n - 1];
+    heap.n--;
+    heapTracer.deselect(0);
+    heapTracer.patch(0, heap.data[0]);
+    heapTracer.patch(heap.n, "-");
+    updateHeapGraph(heap);
+    heapGraph.select(heap.data[0]);
+    Tracer::delay();
+    heapTracer.depatch(0);
+    heapTracer.depatch(heap.n);
+    heapGraph.deselect(heap.data[0]);
+    Tracer::delay();
+    logger.println("堆顶元素被最后一个元素替换，开始下滤过程");
+    Tracer::delay();
+    // 下滤过程
+    int i = 0;
+    while (true)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        int largest = i;
+        // 找到最大子结点
+        if (left < heap.n && heap.data[left] > heap.data[largest])
+            largest = left;
+        if (right < heap.n && heap.data[right] > heap.data[largest])
+            largest = right;
+
+        if (largest != i)
+        {
+            // 可视化
+            logger.println("交换元素 " + std::to_string(heap.data[i]) + " 和 " + std::to_string(heap.data[largest]));
+            heapGraph.select(heap.data[largest]);
+            heapGraph.select(heap.data[i]);
+            heapTracer.select(i);
+            heapTracer.select(largest);
+            Tracer::delay();
+
+            std::swap(heap.data[i], heap.data[largest]);
+            // 可视化
+            heapTracer.patch(i, heap.data[i]);
+            heapTracer.patch(largest, heap.data[largest]);
+            heapTracer.deselect(i);
+            heapTracer.deselect(largest);
+            updateHeapGraph(heap);
+            heapGraph.select(heap.data[largest]);
+            heapGraph.select(heap.data[i]);
+            Tracer::delay();
+            heapTracer.depatch(i);
+            heapTracer.depatch(largest);
+            heapGraph.deselect(heap.data[largest]);
+            heapGraph.deselect(heap.data[i]);
+            Tracer::delay();
+
+            i = largest;
+        }
+        else
+        {
+            break;
+        }
+    }
+    updateHeapGraph(heap);
+    logger.println("删除完成，目前堆中元素个数：" + std::to_string(heap.n));
+    Tracer::delay();
+}
+
+int main()
+{
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+
+    // 创建一个示例堆（max-heap）
+    HEAP heap(10);
+    // 初始元素：索引从0开始
+    std::vector<int> init = {95, 87, 53, 45, 78, 9, 31, 17};
+    // 初始化堆内容
+    heap.n = (int)init.size();
+    for (int i = 0; i < heap.n; ++i)
+        heap.data[i] = init[i];
+
+    // 可视化初始堆数组
+    json arr = json::array();
+    for (int i = 0; i < heap.capacity; ++i)
+    {
+        if (i < heap.n)
+            arr.push_back(heap.data[i]);
+        else
+            arr.push_back(std::string("-"));
+    }
+    heapTracer.set(arr);
+
+    for (int i = 0; i < heap.n; ++i)
+    {
+        heapGraph.addNode(heap.data[i]);
+    }
+    for (int i = 0; i < heap.n; ++i)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        if (left < heap.n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[left]);
+            heapGraph.addEdge(heap.data[left], heap.data[i]);
+        }
+        if (right < heap.n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[right]);
+            heapGraph.addEdge(heap.data[right], heap.data[i]);
+        }
+    }
+    heapGraph.layoutTree(heap.data[0]);
+    Tracer::delay();
+    logger.println("试图删除最大元素");
+    Tracer::delay();
+    DeleteMax(heap);
+    logger.println("试图删除最大元素");
+    Tracer::delay();
+    DeleteMax(heap);
+
+    return 0;
+}
diff --git a/Finished/HeapOperations/Heap-DeleteMax.exe b/Finished/HeapOperations/Heap-DeleteMax.exe
new file mode 100755
index 0000000..a714069
Binary files /dev/null and b/Finished/HeapOperations/Heap-DeleteMax.exe differ
diff --git a/Finished/HeapOperations/Heap-DeleteMax.json b/Finished/HeapOperations/Heap-DeleteMax.json
new file mode 100644
index 0000000..1049d88
--- /dev/null
+++ b/Finished/HeapOperations/Heap-DeleteMax.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/Finished/HeapOperations/Heap-Insert.cpp b/Finished/HeapOperations/Heap-Insert.cpp
new file mode 100644
index 0000000..0b01845
--- /dev/null
+++ b/Finished/HeapOperations/Heap-Insert.cpp
@@ -0,0 +1,191 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+struct HEAP
+{
+    std::vector<int> data; // 1-based: data[0] unused
+    int n;
+    int capacity;
+    HEAP(int cap = 32) : data(cap + 1, 0), n(0), capacity(cap) {}
+};
+
+typedef int ElemType;
+
+Array1DTracer heapTracer = Array1DTracer("堆的数组形式");
+LogTracer logger = LogTracer("运行日志");
+GraphTracer heapGraph = GraphTracer("最大堆").directed(false);
+bool HeapFull(HEAP &heap)
+{
+    return (heap.n == heap.capacity);
+}
+
+// 更新图形化的堆树视图（binary heap visual）
+// 根据数组构建完全二叉树：对第 i 个节点（0-based），左孩子为 2*i+1，右孩子为 2*i+2
+void updateHeapGraph(HEAP &heap)
+{
+    int n = heap.n;
+    GraphTracer heapGraph_new = GraphTracer("最大堆").directed(false);
+    heapGraph = heapGraph_new;
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+    // 添加节点：使用连续的数值 id (0..n-1)，并把堆值作为 weight 显示
+    for (int i = 0; i < n; ++i)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        heapGraph.addNode(heap.data[i]);
+        if (left < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[left]);
+            heapGraph.addEdge(heap.data[left], heap.data[i]);
+        }
+        if (right < n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[right]);
+            heapGraph.addEdge(heap.data[right], heap.data[i]);
+        }
+    }
+    heapGraph.layoutTree(heap.data[0]);
+}
+
+void Insert(HEAP &heap, ElemType elem)
+{
+    int i;
+
+    std::vector<int> visitidx;
+    if (!HeapFull(heap))
+    {
+        i = heap.n;
+        int parentidx = (i - 1) / 2;
+        heap.n++;
+        heapGraph.addNode(elem);
+        heapGraph.addEdge(heap.data[parentidx], elem);
+        heapGraph.addEdge(elem, heap.data[parentidx]);
+        heapTracer.patch(i, elem); // 先放在最后
+        heapGraph.visit(elem);
+        Tracer::delay();
+        logger.println("将元素 " + std::to_string(elem) + " 放在堆的末尾位置，开始上浮");
+        Tracer::delay();
+        heapGraph.leave(elem);
+        heapTracer.depatch(i);
+        heapGraph.select(heap.data[parentidx]);
+        heapTracer.select(parentidx);
+        Tracer::delay();
+        heapTracer.depatch(i);
+        while ((i != 0) && (elem > heap.data[parentidx]))
+        {
+            logger.println("堆中元素 " + std::to_string(heap.data[parentidx]) + " 小于插入元素 " + std::to_string(elem) + "，进行下推");
+            heap.data[i] = heap.data[parentidx]; // 下推
+            heap.data[parentidx] = elem;         // 上浮
+            // 可视化：修改堆树结构
+            updateHeapGraph(heap);
+            heapGraph.visit(elem);
+            heapGraph.visit(heap.data[i]);
+            // 可视化：修改堆数组内容
+            heapTracer.patch(parentidx, elem);
+            heapTracer.patch(i, heap.data[i]);
+            heapTracer.deselect(parentidx);
+            Tracer::delay();
+            // visitidx.push_back(i);
+
+            heapTracer.depatch(i);
+            heapTracer.depatch(parentidx);
+            heapGraph.leave(elem);
+            heapGraph.leave(heap.data[i]);
+            Tracer::delay();
+            i = parentidx;
+            parentidx = (parentidx - 1) / 2;
+            if (heap.data[parentidx] != elem)
+            {
+                heapGraph.select(heap.data[parentidx]);
+                heapTracer.select(parentidx);
+                Tracer::delay();
+            }
+        }
+
+        // heapTracer.patch(i, heap.data[i]);
+        // visitidx.push_back(i);
+        if (i == 0)
+        {
+            logger.println("已到达堆顶位置，元素 " + std::to_string(elem) + " 上浮完毕");
+            heapTracer.deselect(0);
+        }
+        else
+        {
+            logger.println("元素 " + std::to_string(heap.data[parentidx]) + " 大于插入元素 " + std::to_string(elem) + "，元素上浮完毕");
+            heapTracer.deselect(parentidx);
+            heapGraph.deselect(heap.data[parentidx]);
+            // heapGraph.visit(heap.data[parentidx]);
+        }
+        Tracer::delay();
+
+        logger.println("成功插入元素 " + std::to_string(elem) + "，目前堆中元素个数：" + std::to_string(heap.n));
+        Tracer::delay();
+        return;
+    }
+    logger.println("堆已满, 无法插入元素: " + std::to_string(elem));
+    Tracer::delay();
+    std::cout << "堆已满, 无法插入元素: " << elem << std::endl;
+}
+
+int main()
+{
+    Layout::setRoot(VerticalLayout({heapGraph, heapTracer, logger}));
+
+    // 创建一个示例堆（max-heap）
+    HEAP heap(10);
+    // 初始元素：索引从0开始
+    std::vector<int> init = {95, 87, 53, 45, 78, 9, 31, 17};
+    // 初始化堆内容
+    heap.n = (int)init.size();
+    for (int i = 0; i < heap.n; ++i)
+        heap.data[i] = init[i];
+
+    // 可视化初始堆数组
+    json arr = json::array();
+    for (int i = 0; i < heap.capacity; ++i)
+    {
+        if (i < heap.n)
+            arr.push_back(heap.data[i]);
+        else
+            arr.push_back(std::string("-"));
+    }
+    heapTracer.set(arr);
+
+    for (int i = 0; i < heap.n; ++i)
+    {
+        heapGraph.addNode(heap.data[i]);
+    }
+    for (int i = 0; i < heap.n; ++i)
+    {
+        int left = 2 * i + 1;
+        int right = 2 * i + 2;
+        if (left < heap.n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[left]);
+            heapGraph.addEdge(heap.data[left], heap.data[i]);
+        }
+        if (right < heap.n)
+        {
+            heapGraph.addEdge(heap.data[i], heap.data[right]);
+            heapGraph.addEdge(heap.data[right], heap.data[i]);
+        }
+    }
+    heapGraph.layoutTree(heap.data[0]);
+    Tracer::delay();
+
+    logger.println("试图插入元素88");
+    Tracer::delay();
+    Insert(heap, 88);
+    logger.println("试图插入元素100");
+    Tracer::delay();
+    Insert(heap, 100);
+    logger.println("试图插入元素42");
+    Tracer::delay();
+    Insert(heap, 42);
+
+    return 0;
+}
diff --git a/Finished/HeapOperations/Heap-Insert.exe b/Finished/HeapOperations/Heap-Insert.exe
new file mode 100755
index 0000000..ceafc33
Binary files /dev/null and b/Finished/HeapOperations/Heap-Insert.exe differ
diff --git a/Finished/HeapOperations/Heap-Insert.json b/Finished/HeapOperations/Heap-Insert.json
new file mode 100644
index 0000000..a327c7f
--- /dev/null
+++ b/Finished/HeapOperations/Heap-Insert.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/Finished/KMP/KMP.cpp b/Finished/KMP/KMP.cpp
new file mode 100644
index 0000000..bafc8d2
--- /dev/null
+++ b/Finished/KMP/KMP.cpp
@@ -0,0 +1,225 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <cstring>
+
+using json = nlohmann::json;
+Array2DTracer pattern_tracer = Array2DTracer("模式串");
+Array1DTracer string_tracer = Array1DTracer("目标串");
+LogTracer logger = LogTracer("运行日志");
+
+void GetNext(char *T, int Next[])
+{
+    int lenT = std::strlen(T); // lenT为模式串T的长度
+    int j = 0, k = -1;
+    if (lenT <= 0)
+        return;
+    // 可视化
+    logger.println("开始计算Next数组，初始化Next[0] = -1");
+    Tracer::delay();
+    Next[0] = -1;
+
+    // 可视化
+    pattern_tracer.patch(0, 1, -1);
+    pattern_tracer.depatch(0, 1);
+    Tracer::delay();
+
+    // 在 j < lenT 时扩展 Next，避免写出界
+    while (j < lenT)
+    {
+        if (k == -1 || T[j] == T[k])
+        {
+            // 需要向前分别跨越一个
+            if (k == -1)
+            {
+                logger.println("k=-1，Next[" + std::to_string(j + 1) + "]设为0");
+            }
+            if (k != -1)
+            {
+                logger.println("模式字符匹配，Next[" + std::to_string(j + 1) + "]设为" + std::to_string(k + 1));
+            }
+            Tracer::delay();
+
+            ++j;
+            ++k;
+            Next[j] = k;
+            pattern_tracer.patch(0, j + 1, k);
+            Tracer::delay();
+            pattern_tracer.depatch(0, j + 1);
+            pattern_tracer.deselect(1, j);
+            pattern_tracer.deselect(2, k);
+            Tracer::delay();
+            if (j < lenT)
+            {
+                pattern_tracer.select(1, j + 1);
+                pattern_tracer.select(2, k + 1);
+                Tracer::delay();
+            }
+        }
+        else
+        {
+            // 可视化
+            logger.println(std::string("不匹配，k 从 ") + std::to_string(k) + " 回退到 Next[k] = " + std::to_string(Next[k]));
+            if (Next[k] != -1)
+            {
+                pattern_tracer.select(0, k + 1);
+                Tracer::delay();
+                pattern_tracer.deselect(2, k + 1);
+                pattern_tracer.select(2, Next[k] + 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, k + 1);
+                Tracer::delay();
+                k = Next[k];
+            }
+            else
+            {
+                logger.println("k 回退到 -1");
+                Tracer::delay();
+                pattern_tracer.select(0, k + 1);
+                Tracer::delay();
+                pattern_tracer.deselect(2, k + 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, k + 1);
+                Tracer::delay();
+                k = Next[k];
+            }
+        }
+    }
+    // 可视化
+    pattern_tracer.deselect(2, k + 2);
+    json row_index = json::array();
+    row_index.push_back(std::string("索引"));
+    for (int i = 0; i < lenT; ++i)
+        row_index.push_back(i);
+    row_index.push_back("-"); // 补齐列数
+    json row_next = json::array();
+    row_next.push_back(std::string("Next值字符"));
+    for (int i = 0; i < lenT + 1; ++i)
+        row_next.push_back(Next[i]);
+    json row_pat = json::array();
+    row_pat.push_back(std::string("模式字符"));
+    for (int i = 0; i < lenT; ++i)
+        row_pat.push_back(std::string(1, T[i]));
+    row_pat.push_back("-"); // 补齐列数
+    pattern_tracer.set(json::array({row_index, row_next, row_pat}));
+    Tracer::delay();
+}
+
+int StrMatch_KMP(char *S, char *T, int pos = 0)
+{
+    // S 为主串, T 为模式, 长度分别为了 lenS 和 lenT; 串采用顺序存储结构
+    int lenS = std::strlen(S);
+    int lenT = std::strlen(T);
+    std::vector<int> match_positions;
+
+    if (lenT == 0)
+        return pos; // 空模式视为在 pos 处匹配
+    if (pos < 0)
+        pos = 0;
+    if (pos >= lenS)
+        return -1;
+
+    // 可视化
+
+    json row_next = json::array();
+    row_next.push_back(std::string("Next值字符"));
+    for (int i = 0; i < lenT + 1; ++i)
+        row_next.push_back("-");
+    json row_patj = json::array();
+    row_patj.push_back(std::string("模式字符j"));
+    for (int i = 0; i < lenT; ++i)
+        row_patj.push_back(std::string(1, T[i]));
+    row_patj.push_back("-"); // 补齐列数
+    json row_patk = json::array();
+    row_patk.push_back(std::string("模式字符k"));
+    for (int i = 0; i < lenT; ++i)
+        row_patk.push_back(std::string(1, T[i]));
+    row_patk.push_back("-"); // 补齐列数
+    pattern_tracer.set(json::array({row_next, row_patj, row_patk}));
+    Tracer::delay();
+
+    // 为 Next 数组分配空间，大小为 lenT（足够放置 0..lenT-1 的 Next）
+    int *Next = new int[lenT + 1];
+    // 计算 Next
+    GetNext(T, Next);
+
+    logger.println("Next数组求解完毕，开始进行 KMP 模式匹配");
+    Tracer::delay();
+    int i = pos;
+    int j = 0; // 从第一个位置开始比较
+
+    string_tracer.select(i);
+    pattern_tracer.select(2, j + 1);
+    Tracer::delay();
+    while (i < lenS && j < lenT)
+    {
+        if (j == 0 || S[i] == T[j])
+        {
+            ++i;
+            ++j;
+            // 可视化
+            if (j == 1)
+                logger.println("j=0, 将模式串和主串分别前移一位");
+            else
+                logger.println(std::string("字符匹配，i 和 j 分别移动到 ") + std::to_string(i) + ", " + std::to_string(j));
+            Tracer::delay();
+            string_tracer.deselect(i - 1);
+            pattern_tracer.deselect(2, j);
+            pattern_tracer.deselect(0, j);
+            string_tracer.select(i);
+            pattern_tracer.select(2, j + 1);
+            Tracer::delay();
+        }
+        else
+        {
+            logger.println(std::string("字符不匹配，j 从 ") + std::to_string(j) + " 回退到 Next[j] = " + std::to_string(Next[j]));
+            Tracer::delay();
+            pattern_tracer.deselect(0, j + 1);
+            pattern_tracer.select(1, j + 1); // j-1 -> column j
+            Tracer::delay();
+            pattern_tracer.deselect(2, j + 1);
+            pattern_tracer.select(0, Next[j] + 1);
+            Tracer::delay();
+            pattern_tracer.select(2, Next[j] + 1);
+            pattern_tracer.deselect(1, j + 1);
+            j = Next[j];
+        }
+    }
+
+    delete[] Next;
+
+    if (j == lenT)
+    {
+        // 可视化
+        logger.println("匹配成功，匹配起始下标为 " + std::to_string(i - lenT));
+        pattern_tracer.deselect(2, j + 1);
+        string_tracer.deselect(i);
+        string_tracer.select(i - lenT, i - 1);
+        Tracer::delay();
+        string_tracer.deselect(i - lenT, i - 1);
+        
+        return i - lenT; // 返回匹配的起始下标
+    }
+    else
+        return -1; // 匹配不成功
+}
+
+int main()
+{
+    // 示例测试
+    char S[] = "AAAABAABAAAABAAABAAAA"; // 主串
+    char T[] = "AAAABAAA";              // 模式串
+    // 可视化
+    Layout::setRoot(VerticalLayout({pattern_tracer, string_tracer, logger}));
+    json srow = json::array();
+    for (char c : S)
+        srow.push_back(std::string(1, c));
+    string_tracer.set(srow);
+
+    int pos = StrMatch_KMP(S, T, 0);
+    if (pos >= 0)
+        std::cout << "匹配成功，起始下标 = " << pos << std::endl;
+    else
+        std::cout << "匹配失败" << std::endl;
+
+    return 0;
+}
diff --git a/Finished/KMP/KMP.exe b/Finished/KMP/KMP.exe
new file mode 100755
index 0000000..38493a7
Binary files /dev/null and b/Finished/KMP/KMP.exe differ
diff --git a/Finished/KMP/KMP.json b/Finished/KMP/KMP.json
new file mode 100644
index 0000000..2f9e129
--- /dev/null
+++ b/Finished/KMP/KMP.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/Finished/Kruskal/Kruskal.cpp b/Finished/Kruskal/Kruskal.cpp
new file mode 100644
index 0000000..a079f18
--- /dev/null
+++ b/Finished/Kruskal/Kruskal.cpp
@@ -0,0 +1,217 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <algorithm>
+
+using json = nlohmann::json;
+
+struct Edge
+{
+    int begin;
+    int end;
+    int cost;
+};
+
+using EdgeSet = std::vector<Edge>;
+
+struct Vertex
+{
+    char data;
+};
+
+// 路径压缩并查集（保持原样）
+int Find(int x, std::vector<int> &parents)
+{
+    if (parents[x] == -1 || parents[x] == x)
+        return x;
+    return parents[x] = Find(parents[x], parents);
+}
+
+// Kruskal with visualization (keeps original logic, only adds tracer calls)
+// 增加 parentsTracer 参数用于同步展示 parents 数组
+void Kruskal_Min_Tree(EdgeSet &edges, int vexnum, int arcnum, const std::vector<Vertex> &vertices,
+                      GraphTracer &tracer, LogTracer &logger, Array2DTracer &edgeTable,
+                      Array1DTracer &parentsTracer)
+{
+    std::vector<int> parents(vexnum, -1);
+    logger.println("初始化各结点的parent为自身");
+    Tracer::delay();
+    for (int i = 0; i < vexnum; ++i) {
+        parents[i] = i;
+        parentsTracer.patch(i, i);
+        Tracer::delay();
+        parentsTracer.depatch(i);
+        Tracer::delay();
+    }
+    int bnf, edf;
+    int taken = 0;
+    int total_cost = 0;
+    logger.println("按序遍历边表，输出最小生成树的边");
+    Tracer::delay();
+
+    for (int i = 0; i < arcnum && taken < vexnum - 1; ++i)
+    {
+        if (i > 0) {
+            logger.println("寻找下一条最短边");
+            Tracer::delay();
+        }
+        // 可视化，高亮边
+        tracer.visit(edges[i].begin, edges[i].end);
+        tracer.visit(edges[i].end, edges[i].begin);
+        // 可视化，高亮边表
+        edgeTable.selectCol(i + 1, 0, 2);
+        Tracer::delay();
+        // 可视化：闪烁
+        tracer.leave(edges[i].begin, edges[i].end);
+        tracer.leave(edges[i].end, edges[i].begin);
+        edgeTable.deselectCol(i + 1, 0, 2);
+        Tracer::delay();
+
+        logger.println("调用Find函数获取parent信息，并进行路径压缩");
+        Tracer::delay();
+
+        bnf = Find(edges[i].begin, parents);
+        edf = Find(edges[i].end, parents);
+
+        // 每次调用 Find 或合并后，同步更新 parentsTracer 的显示
+        parentsTracer.patch(edges[i].begin, bnf);
+        parentsTracer.patch(edges[i].end, edf);
+        Tracer::delay();
+        parentsTracer.depatch(edges[i].begin);
+        parentsTracer.depatch(edges[i].end);
+        Tracer::delay();
+
+        parentsTracer.select(edges[i].begin);
+        parentsTracer.select(edges[i].end);
+        Tracer::delay();
+        if (bnf != edf)
+        {
+            logger.println("两者属于不同的连通分量，合并");
+            Tracer::delay();
+            // 合并集合
+            parents[edf] = bnf;
+            ++taken;
+            total_cost += edges[i].cost;
+            // 更新 parents 显示：只更新被修改的索引 edf（也可以整体更新，上面已有整体更新）
+            
+            parentsTracer.patch(edf, bnf);
+            Tracer::delay();
+            parentsTracer.depatch(edf);
+            parentsTracer.deselect(edges[i].begin);
+            parentsTracer.deselect(edges[i].end);
+            Tracer::delay();
+
+            // 双向选中边：视觉上持久高亮并输出日志
+            tracer.visit(edges[i].begin, edges[i].end);
+            tracer.visit(edges[i].end, edges[i].begin);
+            // 若该边被选中，则在表中保持高亮状态（保持列选中）
+            edgeTable.selectCol(i + 1, 0, 2);
+            logger.println(std::string("选中: (") + vertices[edges[i].begin].data + "," + vertices[edges[i].end].data + ") 权值=" + std::to_string(edges[i].cost));
+            Tracer::delay();
+        }
+        else
+        {
+            logger.println("两者属于同一连通分量");
+            Tracer::delay();
+            // 取消表格高亮（取消列选中）
+            edgeTable.deselectCol(i + 1, 0, 2);
+            parentsTracer.deselect(edges[i].begin);
+            parentsTracer.deselect(edges[i].end);
+            Tracer::delay();
+        }
+    }
+    logger.println(std::string("Kruskal算法运行结束，生成树中边的总权值: ") + std::to_string(total_cost));
+}
+
+int main()
+{
+    // 示例测试（无向加权图，顶点用字母标识）
+    std::vector<Vertex> vertices = {
+        {'0'}, {'1'}, {'2'}, {'3'}, {'4'}, {'5'}, {'6'}};
+
+    EdgeSet edges = {
+        {0, 1, 7}, {0, 3, 5}, {1, 2, 8}, {1, 3, 9}, {1, 4, 7}, {2, 4, 5}, {3, 4, 15}, {3, 5, 6}, {4, 5, 8}, {4, 6, 9}, {5, 6, 11}};
+
+    int vexnum = static_cast<int>(vertices.size());
+    int arcnum = static_cast<int>(edges.size());
+
+    // Tracers
+    GraphTracer tracer = GraphTracer("Kruskal算法").directed(false).weighted();
+    LogTracer logger = LogTracer("运行日志");
+    Array2DTracer edgeTable = Array2DTracer("边表");
+    Array1DTracer parentsTracer = Array1DTracer("parents数组"); // 新增用于显示 parents 数组
+    Layout::setRoot(VerticalLayout({tracer, edgeTable, parentsTracer, logger}));
+
+    // 为可视化准备邻接矩阵（GraphTracer接受 array2d）
+    json Gjson = json::array();
+    for (int i = 0; i < vexnum; ++i)
+    {
+        json r = json::array();
+        for (int j = 0; j < vexnum; ++j)
+            r.push_back(0);
+        Gjson.push_back(r);
+    }
+    for (auto &e : edges)
+    {
+        Gjson[e.begin][e.end] = e.cost;
+        Gjson[e.end][e.begin] = e.cost;
+    }
+    tracer.set(Gjson);
+    // 使用圆形布局让点均匀分布
+    tracer.layoutCircle();
+
+    // 先对边集进行排序（不改变原始 edges 的顺序，创建一个副本 sortedEdges）
+    EdgeSet sortedEdges = edges;
+    std::sort(sortedEdges.begin(), sortedEdges.end(), [](const Edge &a, const Edge &b)
+              { return a.cost < b.cost; });
+
+    // 用 Array2DTracer 显示边表，横向：3 行 (costs, begin, end) × arcnum 列
+    // 初始化表格为 3 行 arcnum+1列，填入占位符
+    json table = json::array();
+    for (int row = 0; row < 3; ++row)
+    {
+        json crow = json::array();
+        for (int c = 0; c < arcnum + 1; ++c) crow.push_back(std::string("-"));
+        table.push_back(crow);
+    }
+    table[0][0] = "cost";
+    table[1][0] = "begin";
+    table[2][0] = "end";
+    edgeTable.set(table);
+
+    // 初始化 parentsTracer 显示为 "-" * vexnum
+    json pinit = json::array();
+    for (int i = 0; i < vexnum; ++i) pinit.push_back(std::string("-"));
+    parentsTracer.set(pinit);
+    Tracer::delay();
+
+    logger.println("遍历边集，按权值从小到大填充边表");
+    Tracer::delay();
+    // 按照排序后的顺序填充表格（按列填：第0行为cost，第1行为begin，第2行为end）
+    for (int c = 0; c < arcnum; ++c)
+    {
+        const Edge &e = sortedEdges[c];
+        // 填写edgeTable
+        edgeTable.patch(0, c + 1, e.cost);
+        edgeTable.patch(1, c + 1, e.begin);
+        edgeTable.patch(2, c + 1, e.end);
+
+        // 在填写时闪烁：高亮该列并在图上短暂高亮对应边
+        tracer.visit(e.begin, e.end);
+        tracer.visit(e.end, e.begin);
+        edgeTable.selectCol(c + 1, 0, 2);
+        Tracer::delay();
+        tracer.leave(e.begin, e.end);
+        tracer.leave(e.end, e.begin);
+        edgeTable.deselectCol(c + 1, 0, 2);
+        edgeTable.depatch(0, c + 1);
+        edgeTable.depatch(1, c + 1);
+        edgeTable.depatch(2, c + 1);
+        Tracer::delay();
+    }
+
+    // 现在将排序后的边传入 Kruskal 算法并在运行时高亮表格对应列
+    Kruskal_Min_Tree(sortedEdges, vexnum, arcnum, vertices, tracer, logger, edgeTable, parentsTracer);
+
+    return 0;
+}
diff --git a/Finished/Kruskal/Kruskal.exe b/Finished/Kruskal/Kruskal.exe
new file mode 100755
index 0000000..473c05c
Binary files /dev/null and b/Finished/Kruskal/Kruskal.exe differ
diff --git a/Finished/Kruskal/Kruskal.json b/Finished/Kruskal/Kruskal.json
new file mode 100644
index 0000000..6220eeb
--- /dev/null
+++ b/Finished/Kruskal/Kruskal.json
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\ No newline at end of file
diff --git a/Finished/Prim/Prim.cpp b/Finished/Prim/Prim.cpp
new file mode 100644
index 0000000..a90affb
--- /dev/null
+++ b/Finished/Prim/Prim.cpp
@@ -0,0 +1,210 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <cstdlib>
+#include <ctime>
+#include <limits>
+#include <string>
+
+using json = nlohmann::json;
+int INF = std::numeric_limits<int>::max();
+// Prim 算法：在单独函数中实现，保留变量命名和算法逻辑
+// G: 邻接矩阵（0 表示无边），start: 起始结点，默认为 0
+int Prim(std::vector<std::vector<int>> &C, int start,
+         GraphTracer &tracer, LogTracer &logger, Array2DTracer &arraytracer)
+{
+    int n = (int)C.size();
+    std::vector<int> CLOSEST(n, 0); // 记录U中的顶点
+    std::vector<int> LOWCOST(n, 0); // 最小边权值
+    CLOSEST[start] = 0;
+    tracer.visit(start); // 标记起始结点
+    logger.println("下面根据起始节点初始化 LOWCOST 和 CLOSEST 数组，第一行为CLOSEST数组，第二行为LOWCOST数组");
+    Tracer::delay();
+    arraytracer.patch(2, start+1, 0);
+    arraytracer.patch(1, start+1, 0);
+    Tracer::delay();
+    arraytracer.depatch(2, start+1);
+    arraytracer.depatch(1, start+1);
+    Tracer::delay();
+
+    int i = 0, j = 0, k = 0;
+    for (i = 1; i < n; i++)
+    {
+        if (C[start][i] == 0)
+        {
+            LOWCOST[i] = INF;
+            CLOSEST[i] = -1; // 表示无连接
+            arraytracer.patch(2, i+1, "INF");
+            arraytracer.patch(1, i+1, "-");
+            Tracer::delay();
+            arraytracer.depatch(2, i+1);
+            arraytracer.depatch(1, i+1);
+            Tracer::delay();
+            continue;
+        }
+        tracer.visit(start, i);
+        CLOSEST[i] = start;
+        LOWCOST[i] = C[start][i];
+        arraytracer.patch(2, i+1, LOWCOST[i]);
+        arraytracer.patch(1, i+1, CLOSEST[i]);
+        Tracer::delay();
+        tracer.leave(start, i);
+        arraytracer.depatch(2, i+1);
+        arraytracer.depatch(1, i+1);
+        Tracer::delay();
+    }
+    LOWCOST[start] = 0; // 标记加入最小生成树
+
+    logger.println("下面开始执行 Prim 算法，遍历LOWCOST和CLOSEST数组以选择最小边");
+    Tracer::delay();
+    int sum = 0;
+    for (i = 1; i < n; i++)
+    {
+        int minweight = INF;
+        k = i;
+        // 遍历已在树中的结点和未加入的结点寻找最小边
+        for (j = 1; j < n; j++)
+        {
+            if (LOWCOST[j] == INF || LOWCOST[j] == 0)
+                continue;
+            std::cout << "(CLOSEST[j], j) : (" << CLOSEST[j] << "," << j << ") 权值=" << LOWCOST[j] << std::endl;
+            tracer.visit(j, CLOSEST[j]);
+            arraytracer.select(2, j+1);
+            arraytracer.select(1, j+1);
+            Tracer::delay();
+            if (LOWCOST[j] < minweight)
+            {
+                minweight = LOWCOST[j];
+                k = j;
+            }
+            tracer.leave(j, CLOSEST[j]);
+            arraytracer.deselect(2, j+1);
+            arraytracer.deselect(1, j+1);
+            Tracer::delay();
+        }
+
+        tracer.visit(k, CLOSEST[k]);
+        arraytracer.select(2, k+1);
+        arraytracer.select(1, k+1);
+        Tracer::delay();
+        arraytracer.deselect(2, k+1);
+        arraytracer.deselect(1, k+1);
+        tracer.leave(k, CLOSEST[k]);
+        Tracer::delay();
+        tracer.visit(k, CLOSEST[k]);
+        arraytracer.select(2, k+1);
+        arraytracer.select(1, k+1);
+        logger.println(std::string("选中边: (") + std::to_string(CLOSEST[k]) + "," + std::to_string(k) + ") 权值=" + std::to_string(C[k][CLOSEST[k]]));
+        std::cout << "(" << CLOSEST[k] << "," << k << ") 权值=" << LOWCOST[k] << std::endl;
+        Tracer::delay();
+
+        sum += C[k][CLOSEST[k]];
+        // 标记加入最小生成树
+        C[k][CLOSEST[k]] = 0;
+        C[CLOSEST[k]][k] = 0;
+        LOWCOST[k] = 0;
+        logger.println("下面根据新加入的结点更新LOWCOST和CLOSEST数组");
+        Tracer::delay();
+        arraytracer.deselect(2, k+1);
+        arraytracer.deselect(1, k+1);
+        arraytracer.patch(1, k+1, CLOSEST[k]);
+        arraytracer.patch(2, k+1, 0);
+        Tracer::delay();
+        arraytracer.depatch(1, k+1);
+        arraytracer.depatch(2, k+1);
+        Tracer::delay();
+        for (j = 1; j < n; j++)
+        {
+            if (C[k][j] != 0 && C[k][j] < LOWCOST[j])
+            {
+                LOWCOST[j] = C[k][j];
+                CLOSEST[j] = k;
+                tracer.visit(k, j);
+                arraytracer.patch(1, j+1, CLOSEST[j]);
+                arraytracer.patch(2, j+1, LOWCOST[j]);
+                Tracer::delay();
+                std::cout << "更新结点 " << j << " 的最小边为 (" << k << "," << j << ") 权值=" << C[k][j] << std::endl;
+                tracer.leave(k, j);
+                arraytracer.depatch(1, j+1);
+                arraytracer.depatch(2, j+1);
+                Tracer::delay();
+            }
+        }
+        logger.println("数组更新完毕，继续寻找当前距离最小的边");
+        Tracer::delay();
+    }
+
+    logger.println(std::string("算法执行完毕，生成树中的边权值之和: ") + std::to_string(sum));
+    Tracer::delay();
+    return sum;
+}
+
+int main()
+{
+    // 使用固定的无向加权图作为测试样例（对称矩阵），规模为 8 个顶点
+    // 节点: 0 1 2 3 4 5 6 7
+    std::vector<std::vector<int>> C = {
+        {0, 2, 0, 6, 0, 0, 3, 0},
+        {2, 0, 3, 8, 5, 0, 0, 0},
+        {0, 3, 0, 0, 7, 4, 0, 0},
+        {6, 8, 0, 0, 9, 0, 0, 1},
+        {0, 5, 7, 9, 0, 2, 0, 0},
+        {0, 0, 4, 0, 2, 0, 6, 0},
+        {3, 0, 0, 0, 0, 6, 0, 5},
+        {0, 0, 0, 1, 0, 0, 5, 0}};
+
+    // Tracers
+    GraphTracer tracer = GraphTracer("Prim算法").directed(false).weighted();
+    LogTracer logger = LogTracer("运行日志");
+    Array2DTracer arraytracer = Array2DTracer("LOWCOST+CLOSEST");
+
+    // 将 tracers 放到垂直布局
+    Layout::setRoot(VerticalLayout({tracer, arraytracer, logger}));
+
+    // 设置图到 tracer，并使用圆形布局以避免 tree 布局把节点排列在一条直线上
+    json Cjson = json::array();
+    for (auto &row : C)
+    {
+        json r = json::array();
+        for (int v : row)
+            r.push_back(v);
+        Cjson.push_back(r);
+    }
+    tracer.set(Cjson);
+    // 使用圆形布局让节点均匀分布
+    tracer.layoutCircle();
+    Tracer::delay();
+
+    // 初始化 arraytracer 显示为 "-" / INF / values
+    int n = (int)C.size();
+    json row_index = json::array();
+    row_index.push_back("节点值");
+    json row0 = json::array(), row1 = json::array();
+    row0.push_back("CLOSEST数组");
+    row1.push_back("LOWCOST数组");
+    for (int i = 0; i < n; ++i)
+    {
+        row_index.push_back(std::to_string(i));
+        row0.push_back(std::string("-"));
+        row1.push_back(std::string("-"));
+    }
+    json arr = json::array();
+    arr.push_back(row_index);
+    arr.push_back(row0);
+    arr.push_back(row1);
+    arraytracer.set(arr);
+    Tracer::delay();
+
+    // 显示初始信息
+    logger.println("开始运行 Prim 算法，起始点 0");
+    Tracer::delay();
+
+    int total = Prim(C, 0, tracer, logger, arraytracer);
+
+    logger.println(std::string("Prim 算法执行完毕，最小生成树总权值=") + std::to_string(total));
+
+    // 同时把找到的最小生成树的边（在可视化中也已经被打印）再次输出为总结
+    logger.println("最小生成树边列表已输出（每行格式: (u,v) 权值）");
+
+    return 0;
+}
diff --git a/Finished/Prim/Prim.exe b/Finished/Prim/Prim.exe
new file mode 100755
index 0000000..3585639
Binary files /dev/null and b/Finished/Prim/Prim.exe differ
diff --git a/Finished/Prim/Prim.json b/Finished/Prim/Prim.json
new file mode 100644
index 0000000..2a49aef
--- /dev/null
+++ b/Finished/Prim/Prim.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/KMP-test.cpp b/KMP-test.cpp
new file mode 100644
index 0000000..492edf8
--- /dev/null
+++ b/KMP-test.cpp
@@ -0,0 +1,220 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <string>
+
+using json = nlohmann::json;
+
+void GetNext(const std::string &pattern, std::vector<int> &_next, Array2DTracer &pattern_tracer, LogTracer &logger)
+{
+    int lenT = (int)pattern.size();
+    int j = 1; // postfix pointer
+    int k = 0; // prefix pointer
+
+    // visualize (offset columns by 1: column 0 reserved for header)
+    pattern_tracer.select(2, k + 1);
+    Tracer::delay();
+    while (j < lenT)
+    {
+        if (k == 0 || pattern[j] == pattern[k])
+        {
+            // visualize (column index = j+1)
+            pattern_tracer.select(1, j + 1);
+            Tracer::delay();
+
+            ++j;
+            ++k;
+            _next[j - 1] = k;
+
+            // visualize
+            pattern_tracer.patch(0, j, k);
+            Tracer::delay();
+            pattern_tracer.depatch(0, j);
+            Tracer::delay();
+            pattern_tracer.deselect(1, j);
+        }
+        else
+        {
+            // visualize (column index = j+1)
+            pattern_tracer.select(1, j + 1);
+            Tracer::delay();
+
+            // visualize backtrack
+            logger.println(std::string("不匹配，k 从 ") + std::to_string(k) + " 回退到 Next[k-1] = " + std::to_string(_next[k - 1]));
+            pattern_tracer.select(0, k); // k-1 -> column k
+            Tracer::delay();
+            pattern_tracer.deselect(2, k + 1);
+            pattern_tracer.select(2, _next[k - 1] + 1);
+            Tracer::delay();
+            pattern_tracer.deselect(0, k);
+
+            k = _next[k - 1];
+        }
+    }
+
+    // for (; j < lenT; ++j)
+    // {
+    //     // visualize (column index = j+1)
+    //     pattern_tracer.select(1, j + 1);
+    //     Tracer::delay();
+
+    //     while ((k > 0) && (pattern[j] != pattern[k]))
+    //     {
+    //         // visualize (adjust columns)
+    //         pattern_tracer.select(0, k); // k-1 -> column k
+    //         Tracer::delay();
+    //         pattern_tracer.deselect(2, k + 1);
+    //         pattern_tracer.select(2, _next[k - 1] + 1);
+    //         Tracer::delay();
+    //         pattern_tracer.deselect(0, k);
+
+    //         k = _next[k - 1];
+    //     }
+    //     if (pattern[j] == pattern[k])
+    //     {
+    //         // visualize
+    //         pattern_tracer.deselect(2, k + 1);
+    //         pattern_tracer.select(2, k + 2);
+    //         Tracer::delay();
+    //         ++k;
+    //     }
+    //     // visualize
+    //     pattern_tracer.patch(0, j + 1, k);
+    //     Tracer::delay();
+    //     pattern_tracer.depatch(0, j + 1);
+    //     Tracer::delay();
+    //     pattern_tracer.deselect(1, j + 1);
+
+    //     _next[j] = k;
+    // }
+
+    // visualize final (deselect and set rows with header in column 0)
+    pattern_tracer.deselect(2, k + 1);
+    // set two rows: row_next and row_pat with header at column 0
+    json row_next = json::array();
+    row_next.push_back(std::string("Next值字符"));
+    for (int i = 0; i < lenT; ++i) row_next.push_back(0);
+    json row_patj = json::array();
+    row_patj.push_back(std::string("模式字符j"));
+    for (int i = 0; i < lenT; ++i) row_patj.push_back(std::string(1, pattern[i]));
+    json row_patk = json::array();
+    row_patk.push_back(std::string("模式字符k"));
+    for (int i = 0; i < lenT; ++i) row_patk.push_back(std::string(1, pattern[i]));
+    // duplicate pattern row for visualization (rows: next, pattern, pattern)
+    pattern_tracer.set(json::array({row_next, row_patj, row_patk}));
+    Tracer::delay();
+}
+
+void KMP(const std::string &str, const std::string &pattern, Array1DTracer &string_tracer, Array2DTracer &pattern_tracer, LogTracer &logger)
+{
+    std::vector<int> match_positions;
+    int m = (int)pattern.size();
+
+    std::vector<int> _next(m, 0);
+    // initial pattern tracer with 3 rows: _next, pattern, pattern (add header column at index 0)
+    json row_next = json::array();
+    row_next.push_back(std::string("Next值字符"));
+    for (int i = 0; i < m; ++i) row_next.push_back(0);
+    json row_patj = json::array();
+    row_patj.push_back(std::string("模式字符j"));
+    for (int i = 0; i < m; ++i) row_patj.push_back(std::string(1, pattern[i]));
+    json row_patk = json::array();
+    row_patk.push_back(std::string("模式字符k"));
+    for (int i = 0; i < m; ++i) row_patk.push_back(std::string(1, pattern[i]));
+    // duplicate pattern row for visualization (rows: next, pattern, pattern)
+    pattern_tracer.set(json::array({row_next, row_patj, row_patk}));
+    Tracer::delay();
+
+    GetNext(pattern, _next, pattern_tracer, logger);
+
+    int i = 0; // string pointer
+    int k = 0; // pattern pointer
+    for (; i < (int)str.size(); ++i)
+    {
+        // visualize (column offset +1)
+        string_tracer.select(i);
+        pattern_tracer.select(1, k + 1);
+        Tracer::delay();
+
+        while ((k > 0) && (str[i] != pattern[k]))
+        {
+            // visualize (adjust columns)
+            pattern_tracer.select(0, k); // k-1 -> column k
+            Tracer::delay();
+            pattern_tracer.deselect(1, k + 1);
+            pattern_tracer.select(1, _next[k - 1] + 1);
+            Tracer::delay();
+            pattern_tracer.deselect(0, k);
+
+            k = _next[k - 1];
+        }
+        if (str[i] == pattern[k])
+        {
+            ++k;
+            if (k == m)
+            {
+                int match_start = i - m + 1;
+                match_positions.push_back(match_start);
+                // visualize match
+                string_tracer.select(match_start, match_start + m - 1);
+                Tracer::delay();
+                string_tracer.deselect(match_start, match_start + m - 1);
+                Tracer::delay();
+
+                pattern_tracer.select(0, k);
+                Tracer::delay();
+                pattern_tracer.deselect(1, k);
+                Tracer::delay();
+                pattern_tracer.select(1, _next[k - 1] + 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, k);
+
+                k = _next[k - 1];
+            }
+            else
+            {
+                pattern_tracer.deselect(1, k);
+                pattern_tracer.select(1, k + 1);
+                Tracer::delay();
+            }
+        }
+        else
+        {
+            pattern_tracer.select(0, k + 1);
+            Tracer::delay();
+        }
+
+        pattern_tracer.deselect(0, k + 1);
+        pattern_tracer.deselect(1, k + 1);
+        string_tracer.deselect(i);
+    }
+
+    // final highlight matches
+    for (int pos : match_positions)
+    {
+        string_tracer.select(pos, pos + m - 1);
+        Tracer::delay();
+        string_tracer.deselect(pos, pos + m - 1);
+    }
+}
+
+int main()
+{
+    const std::string str = "AAAABAABAAAABAAABAAAA";
+    const std::string pattern = "AAAABAAA";
+
+    Array2DTracer pattern_tracer = Array2DTracer("模式");
+    Array1DTracer string_tracer = Array1DTracer("目标串");
+    LogTracer logger = LogTracer("运行日志");
+    Layout::setRoot(VerticalLayout({pattern_tracer, string_tracer, logger}));
+
+    // prepare string tracer array
+    json srow = json::array();
+    for (char c : str) srow.push_back(std::string(1, c));
+    string_tracer.set(srow);
+    
+    KMP(str, pattern, string_tracer, pattern_tracer, logger);
+    Tracer::delay();
+
+    return 0;
+}
diff --git a/KMP-test.exe b/KMP-test.exe
new file mode 100755
index 0000000..51d6d17
Binary files /dev/null and b/KMP-test.exe differ
diff --git a/KMP-test.json b/KMP-test.json
new file mode 100644
index 0000000..171c8ee
--- /dev/null
+++ b/KMP-test.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/dijkstra.cpp b/dijkstra.cpp
new file mode 100644
index 0000000..0372f0d
--- /dev/null
+++ b/dijkstra.cpp
@@ -0,0 +1,109 @@
+// import visualization libraries {
+#include "algorithm-visualizer.h"
+// }
+#include <vector>
+#include <string>
+#include <limits>
+using json = nlohmann::json;
+// Tracers: graph, array1d (S) and log console
+GraphTracer tracer = GraphTracer().directed(false).weighted().layoutCircle();
+Array1DTracer tracerS = Array1DTracer("Distances");
+LogTracer logger = LogTracer("Console");
+int main()
+{
+	const int N = 5;
+	// generate random graph like JS example: Randomize.Graph({ N: 5, ratio: 1, directed: false, weighted: true })
+	std::vector<int> Gmat(N * N);
+	Randomize::Integer randWeight(1, 9);
+	Randomize::Graph<int> Ggen(N, 1.0, randWeight);
+	// do NOT chain these methods: they return by value, which would modify a temporary
+	// (so Ggen would keep its defaults). Call them separately to modify the original.
+	Ggen.directed(false);
+	Ggen.weighted(true);
+	Ggen.fill(Gmat.data());
+	// convert to 2D vector for tracer.set
+	std::vector<std::vector<int>> G2(N, std::vector<int>(N));
+	for (int i = 0; i < N; ++i)
+	{
+		for (int j = 0; j < N; ++j)
+		{
+			G2[i][j] = Gmat[i * N + j];
+		}
+	}
+	// initialize S (distance array) with INF
+	const int INF = std::numeric_limits<int>::max();
+	std::vector<int> S(N, INF);
+	// layout and initial set
+	Layout::setRoot(VerticalLayout({tracer, tracerS, logger}));
+	tracer.log(logger);
+	tracer.set(G2);
+	// prepare display array for tracerS: use strings for INF, numbers otherwise
+	std::vector<json> Sdisplay(N);
+	for (int i = 0; i < N; ++i)
+		Sdisplay[i] = "INF";
+	tracerS.set(Sdisplay);
+	Tracer::delay();
+	// pick random start and end (s != e)
+	Randomize::Integer randNode(0, N - 1);
+	int s = randNode.create();
+	int e;
+	do
+	{
+		e = randNode.create();
+	} while (e == s);
+	logger.println(std::string("finding the shortest path from ") +
+				   std::to_string(s) + " to " + std::to_string(e));
+	Tracer::delay();
+	// Dijkstra
+	std::vector<bool> D(N, false);
+	S[s] = 0;
+	tracerS.patch(s, 0);
+	Tracer::delay();
+	tracerS.depatch(s);
+	tracerS.select(s);
+	int k = N;
+	while (k--)
+	{
+		int minIndex = -1;
+		int minDistance = INF;
+		for (int i = 0; i < N; ++i)
+		{
+			if (!D[i] && S[i] < minDistance)
+			{
+				minDistance = S[i];
+				minIndex = i;
+			}
+		}
+		if (minDistance == INF)
+			break;
+		D[minIndex] = true;
+		tracerS.select(minIndex);
+		tracer.visit(minIndex);
+		Tracer::delay();
+		for (int i = 0; i < N; ++i)
+		{
+			if (G2[minIndex][i] && S[i] > S[minIndex] + G2[minIndex][i])
+			{
+				S[i] = S[minIndex] + G2[minIndex][i];
+				tracerS.patch(i, S[i]);
+				tracer.visit(i, minIndex, S[i]);
+				Tracer::delay();
+				tracerS.depatch(i);
+				tracer.leave(i, minIndex);
+				Tracer::delay();
+			}
+		}
+		tracer.leave(minIndex);
+		Tracer::delay();
+	}
+	if (S[e] == INF)
+	{
+		logger.println(std::string("there is no path from ") + std::to_string(s) + " to " + std::to_string(e));
+	}
+	else
+	{
+		logger.println(std::string("the shortest path from ") + std::to_string(s) + " to " + std::to_string(e) + " is " + std::to_string(S[e]));
+	}
+	Tracer::delay();
+	return 0;
+}
\ No newline at end of file
diff --git a/dijkstra.exe b/dijkstra.exe
new file mode 100755
index 0000000..7bc969b
Binary files /dev/null and b/dijkstra.exe differ
diff --git a/dijkstra.json b/dijkstra.json
new file mode 100644
index 0000000..e71ab29
--- /dev/null
+++ b/dijkstra.json
@@ -0,0 +1 @@
+[{"args":[],"key":"xz4dvuaz","method":"GraphTracer"},{"args":[false],"key":"xz4dvuaz","method":"directed"},{"args":[],"key":"xz4dvuaz","method":"weighted"},{"args":[],"key":"xz4dvuaz","method":"layoutCircle"},{"args":["Distances"],"key":"s018gupu","method":"Array1DTracer"},{"args":["Console"],"key":"eck71jw5","method":"LogTracer"},{"args":[["xz4dvuaz","s018gupu","eck71jw5"]],"key":"f2tdqrdu","method":"VerticalLayout"},{"args":["f2tdqrdu"],"key":null,"method":"setRoot"},{"args":["eck71jw5"],"key":"xz4dvuaz","method":"log"},{"args":[[[0,6,2,6,5],[6,0,4,5,8],[2,4,0,7,9],[6,5,7,0,4],[5,8,9,4,0]]],"key":"xz4dvuaz","method":"set"},{"args":[["INF","INF","INF","INF","INF"]],"key":"s018gupu","method":"set"},{"args":[],"key":null,"method":"delay"},{"args":["finding the shortest path from 2 to 4"],"key":"eck71jw5","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[2,0],"key":"s018gupu","method":"patch"},{"args":[],"key":null,"method":"delay"},{"args":[2],"key":"s018gupu","method":"depatch"},{"args":[2],"key":"s018gupu","method":"select"},{"args":[2],"key":"s018gupu","method":"select"},{"args":[2],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[0,2],"key":"s018gupu","method":"patch"},{"args":[0,2,2.0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"s018gupu","method":"depatch"},{"args":[0,2],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[1,4],"key":"s018gupu","method":"patch"},{"args":[1,2,4.0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[1],"key":"s018gupu","method":"depatch"},{"args":[1,2],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[3,7],"key":"s018gupu","method":"patch"},{"args":[3,2,7.0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[3],"key":"s018gupu","method":"depatch"},{"args":[3,2],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[4,9],"key":"s018gupu","method":"patch"},{"args":[4,2,9.0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[4],"key":"s018gupu","method":"depatch"},{"args":[4,2],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[2],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"s018gupu","method":"select"},{"args":[0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[4,7],"key":"s018gupu","method":"patch"},{"args":[4,0,7.0],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[4],"key":"s018gupu","method":"depatch"},{"args":[4,0],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[0],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[1],"key":"s018gupu","method":"select"},{"args":[1],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[1],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[3],"key":"s018gupu","method":"select"},{"args":[3],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[3],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":[4],"key":"s018gupu","method":"select"},{"args":[4],"key":"xz4dvuaz","method":"visit"},{"args":[],"key":null,"method":"delay"},{"args":[4],"key":"xz4dvuaz","method":"leave"},{"args":[],"key":null,"method":"delay"},{"args":["the shortest path from 2 to 4 is 7"],"key":"eck71jw5","method":"println"},{"args":[],"key":null,"method":"delay"}]
\ No newline at end of file
diff --git a/pure_Prim b/pure_Prim
new file mode 100755
index 0000000..6255b3d
Binary files /dev/null and b/pure_Prim differ
diff --git a/pure_Prim.cpp b/pure_Prim.cpp
new file mode 100644
index 0000000..ab37180
--- /dev/null
+++ b/pure_Prim.cpp
@@ -0,0 +1,82 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+const int INF = 1000000000;
+
+// 根据图片的伪代码，保留变量名和逻辑实现 Prim 算法
+// 使用 1-based 索引，C 为 (n+1)x(n+1) 的邻接矩阵，若无边则为 INF
+
+void Prim(int n, const vector<vector<int>>& C)
+{
+    vector<int> LOWCOST(n+1);
+    vector<int> CLOSSET(n+1);
+    int i, j, k;
+    int min;
+
+    // 初始化 LOWCOST 和 CLOSSET
+    for (i = 2; i <= n; i++) {
+        LOWCOST[i] = C[1][i];
+        CLOSSET[i] = 1;
+    }
+
+    // 执行 n-1 次
+    for (i = 2; i <= n; i++) {
+        // 在 LOWCOST 中选取最小边，记 CLOSET 中对应的顶点序号 k
+        min = LOWCOST[i];
+        k = i;
+        for (j = 2; j <= n; j++) {
+            if (LOWCOST[j] < min) {
+                min = LOWCOST[j];
+                k = j;
+            }
+        }
+
+        // 输出顶点 k 和对应的权值（按图片中的格式）
+        cout << "(" << k << "," << CLOSSET[k] << ") 权值=" << min << endl;
+
+        // 把顶点 k 加入最小生成树中（设置为 INF 表示已加入）
+        LOWCOST[k] = INF;
+
+        // 调整数组 LOWCOST 和 CLOSSET
+        for (j = 2; j <= n; j++) {
+            if (C[k][j] < LOWCOST[j] && LOWCOST[j] != INF) {
+                LOWCOST[j] = C[k][j];
+                CLOSSET[j] = k;
+            }
+        }
+    }
+}
+
+int main()
+{
+    // 示例图（1-based），节点数 n
+    int n = 7;
+    // 构建 (n+1)x(n+1) 的邻接矩阵（无向图），无边用 INF
+    vector<vector<int>> C(n+1, vector<int>(n+1, INF));
+
+    // 对角为 0
+    for (int i = 1; i <= n; ++i) C[i][i] = 0;
+
+    // 示例边（无向，互相赋值）
+    auto add_edge = [&](int u, int v, int w) {
+        C[u][v] = w;
+        C[v][u] = w;
+    };
+
+    add_edge(1,2,7);
+    add_edge(1,4,5);
+    add_edge(2,3,8);
+    add_edge(2,4,9);
+    add_edge(2,5,7);
+    add_edge(3,5,5);
+    add_edge(4,5,15);
+    add_edge(4,6,6);
+    add_edge(5,6,8);
+    add_edge(5,7,9);
+    add_edge(6,7,11);
+
+    cout << "Running Prim (示例图)，n=" << n << "\n";
+    Prim(n, C);
+
+    return 0;
+}
diff --git a/test.exe b/test.exe
new file mode 100755
index 0000000..66c829e
Binary files /dev/null and b/test.exe differ
diff --git a/test/main.exe b/test/main.exe
new file mode 100755
index 0000000..1c36cd5
Binary files /dev/null and b/test/main.exe differ
diff --git a/test/visualization.json b/test/visualization.json
new file mode 100644
index 0000000..d6122ba
--- /dev/null
+++ b/test/visualization.json
@@ -0,0 +1 @@
+[{"args":["array"],"key":"vkx68cop","method":"Array1DTracer"},{"args":["array2d"],"key":"h3ecftue","method":"Array2DTracer"},{"args":[[[0,7,7,0,0],[7,0,0,0,5],[7,0,0,0,0],[0,0,0,0,8],[0,5,0,8,0]]],"key":"h3ecftue","method":"set"},{"args":[0,0,"aewg"],"key":"h3ecftue","method":"patch"},{"args":["chart"],"key":"v2f1ket8","method":"ChartTracer"},{"args":["graph"],"key":"jzyr8mek","method":"GraphTracer"},{"args":[[[0,7,7,0,0],[7,0,0,0,5],[7,0,0,0,0],[0,0,0,0,8],[0,5,0,8,0]]],"key":"jzyr8mek","method":"set"},{"args":["log"],"key":"hicb1zx5","method":"LogTracer"},{"args":["v2f1ket8"],"key":"vkx68cop","method":"chart"},{"args":["hicb1zx5"],"key":"jzyr8mek","method":"log"},{"args":[["jzyr8mek","hicb1zx5"]],"key":"5vb0x4s6","method":"HorizontalLayout"},{"args":[["vkx68cop","h3ecftue","v2f1ket8","5vb0x4s6"]],"key":"efe9zen8","method":"VerticalLayout"},{"args":["efe9zen8"],"key":null,"method":"setRoot"},{"args":["%s %d\n","cccc",1],"key":"hicb1zx5","method":"printf"},{"args":[],"key":null,"method":"delay"},{"args":["awegawebawea"],"key":"hicb1zx5","method":"println"}]
\ No newline at end of file
diff --git a/vision_KMP b/vision_KMP
new file mode 100755
index 0000000..0dffd4a
Binary files /dev/null and b/vision_KMP differ
diff --git a/vision_KMP.cpp b/vision_KMP.cpp
new file mode 100644
index 0000000..3761369
--- /dev/null
+++ b/vision_KMP.cpp
@@ -0,0 +1,198 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <vector>
+#include <cstring>
+
+using json = nlohmann::json;
+
+Array2DTracer pattern_tracer = Array2DTracer("模式"); // row0: Next, row1: pattern chars, row2: pointer/markers
+Array1DTracer string_tracer = Array1DTracer("主串");
+LogTracer logger = LogTracer("运行日志");
+
+// KMP 算法逻辑
+void GetNext(char* T, int Next[])
+{
+    int lenT = std::strlen(T); // lenT为模式串T的长度
+    int j = 0, k = -1;
+    if (lenT <= 0) return;
+    Next[0] = -1;
+
+    // 可视化初始化：row0 Next (空)，row1 pattern chars，row2 pointers
+    std::vector<json> row0(lenT), row1(lenT), row2(lenT);
+    for (int idx = 0; idx < lenT; ++idx) {
+        row0[idx] = nullptr;
+        char tmp[2] = {T[idx], '\0'};
+        row1[idx] = std::string(tmp);
+        row2[idx] = std::string(" ");
+    }
+    json arr = json::array();
+    arr.push_back(row0);
+    arr.push_back(row1);
+    arr.push_back(row2);
+    pattern_tracer.set(arr);
+
+    logger.println(std::string("开始计算 Next 数组，lenT=") + std::to_string(lenT));
+    Tracer::delay();
+
+    while (j < lenT - 1) {
+        // 高亮当前比较位 j 和 k（在第1行为字符，高亮第2行用于指针）
+        if (k >= 0) pattern_tracer.select(2, k);
+        pattern_tracer.select(1, j);
+        Tracer::delay();
+
+        if (k == -1 || T[j] == T[k]) {
+            ++j; ++k;
+            Next[j] = k;
+            // 更新可视化 Next
+            pattern_tracer.patch(0, j, k);
+            logger.println(std::string("Next[") + std::to_string(j) + "] = " + std::to_string(k));
+            Tracer::delay();
+            // 取消高亮 j (字符行)
+            pattern_tracer.deselect(1, j-1);
+        } else {
+            // 不匹配时可视化回退
+            logger.println(std::string("不匹配，k 从 ") + std::to_string(k) + " 回退到 Next[k] = " + std::to_string(Next[k]));
+            // 高亮 Next[k] 的位置
+            if (k - 1 >= 0) {
+                pattern_tracer.select(0, k - 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, k - 1);
+            }
+            k = Next[k];
+            Tracer::delay();
+        }
+    }
+    // 结束时去掉所有选择
+    for (int i = 0; i < lenT; ++i) {
+        pattern_tracer.deselect(0, i);
+        pattern_tracer.deselect(1, i);
+        pattern_tracer.deselect(2, i);
+    }
+    Tracer::delay();
+}
+
+int StrMatch_KMP(char* S, char* T, int pos = 0)
+{
+    int lenS = std::strlen(S);
+    int lenT = std::strlen(T);
+
+    if (lenT == 0) return pos;
+    if (pos < 0) pos = 0;
+    if (pos >= lenS) return -1;
+
+    int* Next = new int[lenT];
+    // 先计算 Next（内部含可视化）
+    GetNext(T, Next);
+
+    // 初始化主串与 pattern_tracer 显示（确保 Next 行显示计算结果）
+    std::vector<json> Sdisplay(lenS);
+    for (int i = 0; i < lenS; ++i) {
+        char tmp[2] = {S[i], '\0'};
+        Sdisplay[i] = std::string(tmp);
+    }
+    string_tracer.set(Sdisplay);
+
+    // 重新设置 pattern_tracer 行以反映计算好的 Next
+    std::vector<json> row0(lenT), row1(lenT), row2(lenT);
+    for (int i = 0; i < lenT; ++i) {
+        row0[i] = Next[i];
+        char tmp[2] = {T[i], '\0'};
+        row1[i] = std::string(tmp);
+        row2[i] = std::string(" ");
+    }
+    json arr = json::array();
+    arr.push_back(row0);
+    arr.push_back(row1);
+    arr.push_back(row2);
+    pattern_tracer.set(arr);
+    Tracer::delay();
+
+    int i = pos;
+    int j = 0;
+
+    logger.println(std::string("开始匹配，主串长度=") + std::to_string(lenS) + ", 模式长度=" + std::to_string(lenT));
+    Tracer::delay();
+
+    while (i < lenS && j < lenT) {
+        // 高亮主串与模式当前比较位置
+        string_tracer.select(i);
+        pattern_tracer.select(1, j);
+        Tracer::delay();
+
+        if (j == -1 || S[i] == T[j]) {
+            ++i; ++j;
+            logger.println(std::string("匹配: S[") + std::to_string(i-1) + "] == T[" + std::to_string(j-1) + "]");
+            Tracer::delay();
+        } else {
+            logger.println(std::string("不匹配: S[") + std::to_string(i) + "] != T[" + std::to_string(j) + "]，回退到 Next[j] = " + std::to_string(Next[j]));
+            // 可视化回退
+            if (j - 1 >= 0) {
+                pattern_tracer.select(0, j - 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, j - 1);
+            }
+            int newj = Next[j];
+            pattern_tracer.deselect(1, j);
+            if (newj >= 0) {
+                pattern_tracer.select(1, newj);
+                Tracer::delay();
+                pattern_tracer.deselect(1, newj);
+            }
+            j = newj;
+            Tracer::delay();
+        }
+        // 去掉当前选择
+        string_tracer.deselect(i-1 >= 0 ? i-1 : 0);
+        if (j >= 0 && j < lenT) pattern_tracer.deselect(1, j);
+    }
+
+    delete[] Next;
+
+    if (j == lenT) {
+        int res = i - lenT;
+        logger.println(std::string("匹配成功，起始下标 = ") + std::to_string(res));
+        return res;
+    } else {
+        logger.println(std::string("匹配不成功"));
+        return -1;
+    }
+}
+
+int main()
+{
+    const char S[] = "AAAABAABAAAABAAABAAAA";
+    const char T[] = "AAAABAAA";
+
+    // 布局
+    Layout::setRoot(VerticalLayout({pattern_tracer, string_tracer, logger}));
+
+    // 初始显示
+    std::vector<json> Sdisplay(std::strlen(S));
+    for (size_t i = 0; i < std::strlen(S); ++i) {
+        char tmp[2] = {S[i], '\0'};
+        Sdisplay[i] = std::string(tmp);
+    }
+    string_tracer.set(Sdisplay);
+
+    // 初始化 pattern_tracer with empty Next and pattern chars
+    int lt = std::strlen(T);
+    std::vector<json> row0(lt), row1(lt), row2(lt);
+    for (int i = 0; i < lt; ++i) {
+        row0[i] = nullptr;
+        char tmp[2] = {T[i], '\0'};
+        row1[i] = std::string(tmp);
+        row2[i] = std::string(" ");
+    }
+    json arr = json::array(); arr.push_back(row0); arr.push_back(row1); arr.push_back(row2);
+    pattern_tracer.set(arr);
+    Tracer::delay();
+
+    // 将 const away for our function signatures
+    char* Sbuf = const_cast<char*>(S);
+    char* Tbuf = const_cast<char*>(T);
+
+    int pos = StrMatch_KMP(Sbuf, Tbuf, 0);
+    std::cout << "匹配结果位置: " << pos << std::endl;
+
+    return 0;
+}
diff --git a/vision_visualization.json b/vision_visualization.json
new file mode 100644
index 0000000..d78196c
--- /dev/null
+++ b/vision_visualization.json
@@ -0,0 +1 @@
+[{"args":["Pattern"],"key":"ssv6jbdq","method":"Array2DTracer"},{"args":["String"],"key":"evvl4q49","method":"Array1DTracer"},{"args":["Console"],"key":"014vg64k","method":"LogTracer"},{"args":[["ssv6jbdq","evvl4q49","014vg64k"]],"key":"bvy1wxbw","method":"VerticalLayout"},{"args":["bvy1wxbw"],"key":null,"method":"setRoot"},{"args":[["A","A","A","A","B","A","A","B","A","A","A","A","B","A","A","A","B","A","A","A","A"]],"key":"evvl4q49","method":"set"},{"args":[[[null,null,null,null,null,null,null,null],["A","A","A","A","B","A","A","A"],[" "," "," "," "," "," "," "," "]]],"key":"ssv6jbdq","method":"set"},{"args":[],"key":null,"method":"delay"},{"args":[[[null,null,null,null,null,null,null,null],["A","A","A","A","B","A","A","A"],[" "," "," "," "," "," "," "," "]]],"key":"ssv6jbdq","method":"set"},{"args":["开始计算 Next 数组，lenT=8"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,0],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,1,0],"key":"ssv6jbdq","method":"patch"},{"args":["Next[1] = 0"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,0],"key":"ssv6jbdq","method":"deselect"},{"args":[2,0],"key":"ssv6jbdq","method":"select"},{"args":[1,1],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,2,1],"key":"ssv6jbdq","method":"patch"},{"args":["Next[2] = 1"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,1],"key":"ssv6jbdq","method":"deselect"},{"args":[2,1],"key":"ssv6jbdq","method":"select"},{"args":[1,2],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,3,2],"key":"ssv6jbdq","method":"patch"},{"args":["Next[3] = 2"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,2],"key":"ssv6jbdq","method":"deselect"},{"args":[2,2],"key":"ssv6jbdq","method":"select"},{"args":[1,3],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,4,3],"key":"ssv6jbdq","method":"patch"},{"args":["Next[4] = 3"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,3],"key":"ssv6jbdq","method":"deselect"},{"args":[2,3],"key":"ssv6jbdq","method":"select"},{"args":[1,4],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":["不匹配，k 从 3 回退到 Next[k] = 2"],"key":"014vg64k","method":"println"},{"args":[0,2],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,2],"key":"ssv6jbdq","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[2,2],"key":"ssv6jbdq","method":"select"},{"args":[1,4],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":["不匹配，k 从 2 回退到 Next[k] = 1"],"key":"014vg64k","method":"println"},{"args":[0,1],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,1],"key":"ssv6jbdq","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[2,1],"key":"ssv6jbdq","method":"select"},{"args":[1,4],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":["不匹配，k 从 1 回退到 Next[k] = 0"],"key":"014vg64k","method":"println"},{"args":[0,0],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,0],"key":"ssv6jbdq","method":"deselect"},{"args":[],"key":null,"method":"delay"},{"args":[2,0],"key":"ssv6jbdq","method":"select"},{"args":[1,4],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":["不匹配，k 从 0 回退到 Next[k] = -1"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,4],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,5,0],"key":"ssv6jbdq","method":"patch"},{"args":["Next[5] = 0"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,4],"key":"ssv6jbdq","method":"deselect"},{"args":[2,0],"key":"ssv6jbdq","method":"select"},{"args":[1,5],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,6,1],"key":"ssv6jbdq","method":"patch"},{"args":["Next[6] = 1"],"key":"014vg64k","method":"println"},{"args":[],"key":null,"method":"delay"},{"args":[1,5],"key":"ssv6jbdq","method":"deselect"},{"args":[2,1],"key":"ssv6jbdq","method":"select"},{"args":[1,6],"key":"ssv6jbdq","method":"select"},{"args":[],"key":null,"method":"delay"},{"args":[0,7,2],"key":"ssv6jbdq","method":"patch"},{"args":["Next[7] = 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\ No newline at end of file
diff --git a/visual_KMP b/visual_KMP
new file mode 100755
index 0000000..3af9b83
Binary files /dev/null and b/visual_KMP differ
diff --git a/visual_KMP.cpp b/visual_KMP.cpp
new file mode 100644
index 0000000..e4d8848
--- /dev/null
+++ b/visual_KMP.cpp
@@ -0,0 +1,161 @@
+#include "algorithm-visualizer.h"
+#include <iostream>
+#include <cstring>
+#include <vector>
+
+// 全局可视化对象（按照 dijkstra.cpp 的风格）
+Array2DTracer pattern_tracer = Array2DTracer("Pattern"); // row0: Next, row1: pattern chars, row2: pointer/markers
+Array1DTracer string_tracer = Array1DTracer("String");
+LogTracer logger = LogTracer("Console");
+// 保持与纯算法相同的函数签名和变量命名，仅插入可视化语句
+void GetNext(const std::string& Pattern, int Next[])
+{
+    int lenT = Pattern.length(); // lenT为模式串T的长度
+    int j = 0, k = -1;
+    if (lenT <= 0) return;
+    Next[0] = -1;
+
+    logger.println(std::string("开始计算 Next 数组，lenT=") + std::to_string(lenT));
+    Tracer::delay();
+
+    // 在 j < lenT 时扩展 Next，避免写出界
+    while (j < lenT - 1) {
+		// 高亮比较位置 k 和 j（在 pattern_tracer 的第 2 行显示为指针）
+        // 显示当前 k 指针（在第三行展示为选中）
+		pattern_tracer.select(1, j); // 显示j位置
+		Tracer::delay();
+
+        if (k == -1 || Pattern[j] == Pattern[k]) {
+			pattern_tracer.deselect(1, j); // 去掉j位置选中
+			pattern_tracer.deselect(2, k); // 去掉k指针选中
+			++j; ++k;
+            Next[j] = k;
+			// 可视化：更新 Next[j]
+			pattern_tracer.select(1, j); // 显示更新后的j位置
+			pattern_tracer.select(2, k); // 显示更新后的k指针位置
+			Tracer::delay();
+			pattern_tracer.patch(0, j, k);
+			Tracer::delay();
+			pattern_tracer.depatch(0, j);
+			Tracer::delay();
+			logger.println(std::string("Next[") + std::to_string(j) + "] = " + std::to_string(k));
+
+        } else {
+            // 可视化：说明回退到 Next[k]
+            logger.println(std::string("不匹配，k 从 ") + std::to_string(k) + " 回退到 Next[k] = " + std::to_string(Next[k]));
+			k = Next[k];
+			pattern_tracer.select(0, k-1);
+			Tracer::delay();
+			pattern_tracer.deselect(2, k);
+			pattern_tracer.select(2, Next[k-1]);
+			Tracer::delay();
+			pattern_tracer.deselect(0, k-1);
+            Tracer::delay();
+        }
+    }
+}
+
+int StrMatch_KMP(const std::string& String, const std::string& Pattern, int pos = 0)
+{
+    // String 为主串, Pattern 为模式, 长度分别为了 lenS 和 lenT; 串采用顺序存储结构
+    int lenS = String.length();
+    int lenT = Pattern.length();
+
+    if (lenT == 0) return pos; // 空模式视为在 pos 处匹配
+    if (pos < 0) pos = 0;
+    if (pos >= lenS) return -1;
+
+    // 为 Next 数组分配空间，大小为 lenT（足够放置 0..lenT-1 的 Next）
+    int* Next = new int[lenT];
+
+    // 计算 Next
+    GetNext(Pattern, Next);
+
+    // 可视化：确保 Next 数组完整显示（GetNext 在内部已更新 tracerNext）
+    Tracer::delay();
+
+    int i = pos; 
+    int j = 0; // 从第一个位置开始比较
+
+    logger.println(std::string("开始匹配，主串长度=") + std::to_string(lenS + 0) + ", 模式长度=" + std::to_string(lenT));
+    Tracer::delay();
+
+    while (i < lenS && j < lenT) {
+        // 可视化：选中当前比较位置（主串与模式）
+        string_tracer.select(i);
+        pattern_tracer.select(1, j);
+        Tracer::delay();
+
+        if (j == -1 || String[i] == Pattern[j]) { ++i; ++j; 
+            logger.println(std::string("匹配: String[") + std::to_string(i-1) + "] == Pattern[" + std::to_string(j-1) + "]");
+            Tracer::delay();
+        }
+        else {
+            logger.println(std::string("不匹配: String[") + std::to_string(i) + "] != Pattern[" + std::to_string(j) + "], j 将回退到 Next[j] = " + std::to_string(Next[j]));
+            // 可视化回退：高亮 Next 的位置并移动指针行
+            if (j - 1 >= 0) {
+                pattern_tracer.select(0, j - 1);
+                Tracer::delay();
+                pattern_tracer.deselect(0, j - 1);
+            }
+            int newj = Next[j];
+            pattern_tracer.select(2, (newj < 0 ? 0 : newj));
+            Tracer::delay();
+            pattern_tracer.deselect(2, (newj < 0 ? 0 : newj));
+            j = newj;
+            Tracer::delay();
+        }
+    }
+
+    delete[] Next;
+
+    if (j == lenT) {
+        int res = i - lenT;
+        logger.println(std::string("匹配成功，起始下标 = ") + std::to_string(res));
+        return res; // 返回匹配的起始下标
+    }
+    else {
+        logger.println(std::string("匹配不成功"));
+        return -1; // 匹配不成功
+    }
+}
+
+int main()
+{
+    // 示例测试
+    const std::string String = "abxabcabcaby"; // 主串
+    const std::string Pattern = "abcaby";       // 模式串
+	
+	// 布局：模式串、主串、日志（垂直）
+	Layout::setRoot(VerticalLayout({pattern_tracer, string_tracer, logger}));
+    // 初始展示：主串与模式（pattern_tracer 在 StrMatch_KMP 内会被完整设置）
+    string_tracer.set(String);
+    // 为 pattern_tracer 做一个简要初始化（Next 行为-1，pattern 行为字符，指针行为空格）
+	int lt = Pattern.length();
+    std::vector<nlohmann::json> row0(lt), row1(lt), row2(lt);
+    for (int i = 0; i < lt; ++i) {
+        row0[i] = -1;
+        char tmp[2] = {Pattern[i], '\0'};
+        row1[i] = std::string(tmp);
+        row2[i] = std::string(tmp);
+    }
+    nlohmann::json arr = nlohmann::json::array();
+    arr.push_back(row0);
+    arr.push_back(row1);
+    arr.push_back(row2);
+    pattern_tracer.set(arr);
+
+	Tracer::delay();
+
+    int pos = StrMatch_KMP(String, Pattern, 0);
+    if (pos >= 0) std::cout << "匹配成功，起始下标 = " << pos << std::endl;
+    else std::cout << "匹配失败" << std::endl;
+
+    // // 另外一个示例，测试多次匹配起始位置
+    // char S2[] = "ababababca";
+    // char T2[] = "abababca";
+    // int pos2 = StrMatch_KMP(S2, T2);
+    // std::cout << "示例2：" << (pos2>=0? std::to_string(pos2) : std::string("-1")) << std::endl;
+
+    return 0;
+}