From 0044941114df31492a752eaa30c822b6f420f955 Mon Sep 17 00:00:00 2001 From: mhLi <2601801671@qq.com> Date: Fri, 6 Feb 2026 21:40:22 +0800 Subject: [PATCH] finished all algorithms --- .vscode/settings.json | 89 +++++++ Delete-test.cpp | 177 ++++++++++++++ Finished/BFS/BFS-Graph.cpp | 217 +++++++++++++++++ Finished/BFS/BFS-Graph.exe | Bin 0 -> 676640 bytes Finished/BFS/BFS-Graph.json | 1 + Finished/BFS/BFS-Tree.cpp | 217 +++++++++++++++++ Finished/BFS/BFS-Tree.exe | Bin 0 -> 676640 bytes Finished/BFS/BFS-Tree.json | 1 + Finished/Binary-Tree-Traversal/InOrder.cpp | 114 +++++++++ Finished/Binary-Tree-Traversal/InOrder.exe | Bin 0 -> 638616 bytes Finished/Binary-Tree-Traversal/InOrder.json | 1 + Finished/Binary-Tree-Traversal/PostOrder.cpp | 110 +++++++++ Finished/Binary-Tree-Traversal/PostOrder.exe | Bin 0 -> 638616 bytes Finished/Binary-Tree-Traversal/PostOrder.json | 1 + Finished/Binary-Tree-Traversal/PreOrder.cpp | 109 +++++++++ Finished/Binary-Tree-Traversal/PreOrder.exe | Bin 0 -> 638616 bytes Finished/Binary-Tree-Traversal/PreOrder.json | 1 + Finished/DFS/DFS-Graph.cpp | 126 ++++++++++ Finished/DFS/DFS-Graph.exe | Bin 0 -> 646752 bytes Finished/DFS/DFS-Graph.json | 1 + Finished/DFS/DFS-Tree.cpp | 130 ++++++++++ Finished/DFS/DFS-Tree.exe | Bin 0 -> 646744 bytes Finished/DFS/DFS-Tree.json | 1 + Finished/HeapOperations/Heap-DeleteMax.cpp | 187 +++++++++++++++ Finished/HeapOperations/Heap-DeleteMax.exe | Bin 0 -> 630968 bytes Finished/HeapOperations/Heap-DeleteMax.json | 1 + Finished/HeapOperations/Heap-Insert.cpp | 191 +++++++++++++++ Finished/HeapOperations/Heap-Insert.exe | Bin 0 -> 602128 bytes Finished/HeapOperations/Heap-Insert.json | 1 + Finished/KMP/KMP.cpp | 225 ++++++++++++++++++ Finished/KMP/KMP.exe | Bin 0 -> 637216 bytes Finished/KMP/KMP.json | 1 + Finished/Kruskal/Kruskal.cpp | 217 +++++++++++++++++ Finished/Kruskal/Kruskal.exe | Bin 0 -> 720848 bytes Finished/Kruskal/Kruskal.json | 1 + Finished/Prim/Prim.cpp | 210 ++++++++++++++++ Finished/Prim/Prim.exe | Bin 0 -> 725776 bytes Finished/Prim/Prim.json | 1 + KMP-test.cpp | 220 +++++++++++++++++ KMP-test.exe | Bin 0 -> 127392 bytes KMP-test.json | 1 + dijkstra.cpp | 109 +++++++++ dijkstra.exe | Bin 0 -> 130528 bytes dijkstra.json | 1 + pure_Prim | Bin 0 -> 17680 bytes pure_Prim.cpp | 82 +++++++ test.exe | Bin 0 -> 129104 bytes test/main.exe | Bin 0 -> 125784 bytes test/visualization.json | 1 + vision_KMP | Bin 0 -> 128128 bytes vision_KMP.cpp | 198 +++++++++++++++ vision_visualization.json | 1 + visual_KMP | Bin 0 -> 124832 bytes visual_KMP.cpp | 161 +++++++++++++ 54 files changed, 3105 insertions(+) create mode 100644 .vscode/settings.json create mode 100644 Delete-test.cpp create mode 100644 Finished/BFS/BFS-Graph.cpp create mode 100755 Finished/BFS/BFS-Graph.exe create mode 100644 Finished/BFS/BFS-Graph.json create mode 100644 Finished/BFS/BFS-Tree.cpp create mode 100755 Finished/BFS/BFS-Tree.exe create mode 100644 Finished/BFS/BFS-Tree.json create mode 100644 Finished/Binary-Tree-Traversal/InOrder.cpp create mode 100755 Finished/Binary-Tree-Traversal/InOrder.exe create mode 100644 Finished/Binary-Tree-Traversal/InOrder.json create mode 100644 Finished/Binary-Tree-Traversal/PostOrder.cpp create mode 100755 Finished/Binary-Tree-Traversal/PostOrder.exe create mode 100644 Finished/Binary-Tree-Traversal/PostOrder.json create mode 100644 Finished/Binary-Tree-Traversal/PreOrder.cpp create mode 100755 Finished/Binary-Tree-Traversal/PreOrder.exe create mode 100644 Finished/Binary-Tree-Traversal/PreOrder.json create mode 100644 Finished/DFS/DFS-Graph.cpp create mode 100755 Finished/DFS/DFS-Graph.exe create mode 100644 Finished/DFS/DFS-Graph.json create mode 100644 Finished/DFS/DFS-Tree.cpp create mode 100755 Finished/DFS/DFS-Tree.exe create mode 100644 Finished/DFS/DFS-Tree.json create mode 100644 Finished/HeapOperations/Heap-DeleteMax.cpp create mode 100755 Finished/HeapOperations/Heap-DeleteMax.exe create mode 100644 Finished/HeapOperations/Heap-DeleteMax.json create mode 100644 Finished/HeapOperations/Heap-Insert.cpp create mode 100755 Finished/HeapOperations/Heap-Insert.exe create mode 100644 Finished/HeapOperations/Heap-Insert.json create mode 100644 Finished/KMP/KMP.cpp create mode 100755 Finished/KMP/KMP.exe create mode 100644 Finished/KMP/KMP.json create mode 100644 Finished/Kruskal/Kruskal.cpp create mode 100755 Finished/Kruskal/Kruskal.exe create mode 100644 Finished/Kruskal/Kruskal.json create mode 100644 Finished/Prim/Prim.cpp create mode 100755 Finished/Prim/Prim.exe create mode 100644 Finished/Prim/Prim.json create mode 100644 KMP-test.cpp create mode 100755 KMP-test.exe create mode 100644 KMP-test.json create mode 100644 dijkstra.cpp create mode 100755 dijkstra.exe create mode 100644 dijkstra.json create mode 100755 pure_Prim create mode 100644 pure_Prim.cpp create mode 100755 test.exe create mode 100755 test/main.exe create mode 100644 test/visualization.json create mode 100755 vision_KMP create mode 100644 vision_KMP.cpp create mode 100644 vision_visualization.json create mode 100755 visual_KMP create mode 100644 visual_KMP.cpp 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 +#include +#include + +using json = nlohmann::json; + +struct HEAP +{ + std::vector 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 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 +#include +#include +#include + +using json = nlohmann::json; + +// 从顶点 k 出发的一次 BFS +void BFSRec(const std::vector> &G, int k, + std::vector &visited, std::vector &dfn, int &count, + GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger) +{ + std::queue 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 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> &G, + GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger) +{ + int n = (int)G.size(); + std::vector visited(n, false); + std::vector 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=0 && b> + std::vector> G; + for (size_t i = 0; i < Gjson.size(); ++i) + { + std::vector 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 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tableTracer.depatch(1, k + 1); + Tracer::delay(); + + // 更新队列可视化(入队 k) + std::vector 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> &G, + GraphTracer &graphTracer, Array2DTracer &tableTracer, Array1DTracer &queueTracer, LogTracer &logger) +{ + int n = (int)G.size(); + std::vector visited(n, false); + std::vector 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=0 && b> + std::vector> G; + for (size_t i = 0; i < Gjson.size(); ++i) + { + std::vector 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 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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 +#include +#include +#include + +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>& 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> 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> T = { + std::array{-1,-1}, + std::array{0,2}, + std::array{-1,-1}, + std::array{1,4}, + std::array{-1,-1}, + std::array{3,9}, + std::array{-1,-1}, + std::array{6,8}, + std::array{-1,-1}, + std::array{7,11}, + std::array{-1,-1}, + std::array{10,12}, + std::array{-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 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 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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> &G, int i, int parent, + std::vector &dfn, std::vector &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> &G, int start, + GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger) +{ + int n = (int)G.size(); + std::vector visited(n, false); + std::vector 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> G; + for 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\ 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 +#include +#include + +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> &G, int i, int parent, + std::vector &dfn, std::vector &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> &G, int start, + GraphTracer &graphTracer, Array2DTracer &tableTracer, LogTracer &logger) +{ + int n = (int)G.size(); + std::vector visited(n, false); + std::vector 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=0 && b> + std::vector> G; + for (size_t i = 0; i < Gjson.size(); ++i) { + std::vector 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 0000000000000000000000000000000000000000..3a67aa0112dae2c6d857b9ecd6ce7ba57d368394 GIT binary patch literal 646744 zcmeFadwf*I`9Ho1L?eocRxGt%;suKrFd!(1mmn@(6fg==s$z^GN-CEK3E(9fnxtmC zZl!7}TCK75!bfe1t=LEv6F@dvFYz9&)u^Z^1~o;LXi>iJ_cL?m%sIP@%IEX@-ZJv4NIdjfl8=gEdGb5v4NPqf;P7Y<@x?r*b6lnP1S9jA_s0)n=4aDDr zLwTWH0PT-0y7NjsvpaU_Em1dw<=|{U%NP@SFY8ea4JdHSTvPSC!c> ziT%yq18;%drlNBt3^EmbYZ~~lG;+8*jXe~>=u+W-CXL)?!+60$(r3!`DyH@JI%OHronS&8abSlhMp_Z=W=3`wt`$=QBU!~FSrD^oIPZ~P!OJi3* zNF%pNY53YNjofjkllRlimpjtP=QnBQ%U{yS=T~XuGb0UrXc{{?8twD& zKlnK^&AgbKW?fj6#&1W`$l=j6_Hca~`9G6}{)#m6`B@r!=uHD3n#Qh5)6CQIH2nSp z_*2=#MBv{mw0|fsmr<&UKlxpUb@LEJt>YhMDHIw3dGT{AnjIV(9O}qc?FTDx=wpn_ z_HVqU0Aby}7T;{&q}vbG?L)DvOI%)07QMs}{^DE-P7hMRDnzvXXgK6(J8&KCiseDlROmoL^xBD#{jI zGJnBbtI4HhmF4p;nI9@XZ|bzl;>}|7b|da*@6Z07hr&$#9qE6JQrQ3pEIp;Y}u01vWm*``SXZN 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z=8)K&Bl-veA`&fDxg`P@1XixAOpjRj6=fS7GP-rk{VOu?vdVN9k>bEU(LTM%URBN8 zy(c}{&cB)}%fd1GWyzS6pR9xOhU(>-^lYx8%s2|=DIX@+D`xa0L9qKttlR-hiSpp~ z7Mj4ZAchhjCRV>~+vM=Wk0hb<0%>9s?MwWX$^_{N%KGe$u94s+XffR5GZV!DG}SNGJF7Ot-kxYZG%Pb@_gvk5r8i;vD*-N$s;|BbY--+K9~^BW*IAMnS)-y9sg=zkpJ zSE$#;OnnCt!W{l5^F@U3&5~hE2k3uIhl_(3DKribUf`cE9wz!9^Q3q1Vv&5nm-qNK zK0Tp|)4_{m5Z%w>Q4$UM_-XPLeoe23(WK<{B3$DzQ9o6Q=Bb|{|E8Zqr-2{IryP$` z{4Vv=yYuyCH)KhVd^>yN$9`^WzlzW=}e_>U)Y z{y)>l%j@6K$Ny>l>Ysm%_y0Wpm*fA3K3-mb_KWI3x<#&i}vtn);x;{uh0moWJ}YdHwtN{{M51|GmGi4v^O$>0e0a zPxnsFUw!J};2-Mu<>&q9UsvCe*PrSG*LLDnd*P(*MIl-vOnO**)I?NExxATFUSAh@2P*u z>o2sj2l&7L54_|5<1eTUD6c>M582~o{m8rj)jR%={y-fsum9$kv|NVc6w`t3& zqYe%Re@1;`@Q3Oh|9;Ewm)D=i#s9K%{0Dvf2YtMJPW^Vf{^k8&#_@Fj +#include +#include + +using json = nlohmann::json; + +struct HEAP +{ + std::vector 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 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 0000000000000000000000000000000000000000..a7140695d3060ad13ab352ff612c5bb4904b7f24 GIT binary patch literal 630968 zcmeFad3aPs_CDSLqPSqP5rk1RfbBE`XcVHjV2B|=lqEs}xI}{?W7@VA z9ixnEoN>Wr6diFQqnH5N(LoI^V{}v^iryI1h^QF{<@dg)>ej7$yE~4|_w&c^d8TN#6rd$B+9RY&S!<3x1!fnuXkN_QB7DO=VMeq`y4f zu5^tOB=~*3X3+h1`#TfusF(lrqtzKYOZS(~4okHn+;7*(a__Mn>qE^nI*H! z7aqHC*wAB#9^Zf7oc@D^1@e`H|MaQfoSq+oG!2AlHHNxXs7F}Z}z#{W|MZ!Ugy z*7iqV{&Ao6ul}lf^lSe-{^k*jZ`)Qh9aU*Rw}9YYDQfQoEEW74Fq#Vf!p^DTPo#nG z0wSsC%t?dabNAHvr(~su=R>Kf=s%2cmkNFk6rKuBednam&)I4CIW3LeoHY3F?wPvZ zjcMTZ@Y_^;J`RUW1^+G${Ma;lxG#-A=my zzh8rXD)_N!PeB^FdhMFJ-<#9mkAXj@(!;5Hq^7e^8oL|-P39zNGZZ>5 zja*ly(dYST{HHBVzb~Yrb4D6Hj7Y=JWohj7b{c*@gRH6SyH}cVF((cGN2l@U5ozMg z+iB!_Hch`9(~OIK(!k$N)9=DG^5*tRt%ve7dix?xocS(|zYR@eubb2KJ0XofG^L@x 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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 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 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 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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 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 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+struct Edge +{ + int begin; + int end; + int cost; +}; + +using EdgeSet = std::vector; + +struct Vertex +{ + char data; +}; + +// 路径压缩并查集(保持原样) +int Find(int x, std::vector &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 &vertices, + GraphTracer &tracer, LogTracer &logger, Array2DTracer &edgeTable, + Array1DTracer &parentsTracer) +{ + std::vector 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 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(vertices.size()); + int arcnum = static_cast(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 0000000000000000000000000000000000000000..473c05c8d6c9fca2dac4f46e506736ea8ebc6363 GIT binary patch literal 720848 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= nlohmann::json; +int INF = std::numeric_limits::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> &C, int start, + GraphTracer &tracer, LogTracer &logger, Array2DTracer &arraytracer) +{ + int n = (int)C.size(); + std::vector CLOSEST(n, 0); // 记录U中的顶点 + std::vector 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> 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 0000000000000000000000000000000000000000..3585639a231e4425665e7273c0b5eb64a974ed04 GIT binary patch literal 725776 zcmeFadwi6|^#{BGqM%@+m5R1%#7j{`xhkk=P*)cX8igoYHG~i@a*L1vwx))L)NI$S z(VtPYsIje;wpybt8c;C-bmOHOtJTzciPt_cXd~WIi}HTIXD&O>v%9GDec!*je8@iM z%$YN1&N*}D%slfvdv&R; z7upTje)ylSOM~AXeN=(@?yu?CAnOg$EeF59uj$M;W#Wh5te5FicbqCQ-=SOuvtBkY z^Z5s#eEDm?&zqwJHQ#PMX|G9lB=CLmua#ux+pS04L@rd)M&|gxJG3J5_t0`^IoS&9 zm0zsr%P;qT=V>v_x6vo5_QOJ>^rO`oI$yV!$qvn05$4|^NG6x|Ci!_d)c!K zcii*TSNlHy?DuLN_uuetwlfo-;D&ZNZ@Q 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zY+Ljqh<6qGzT!R9-|2nmGVqps$;l+c?-K8Rw_Lt?i?Yfjovz+|>7RcWZ}2bS|Gy>Q z=uiK)_>21d_vP2sC;D0Y&p*IF{x$rsUVkcIuRb5xKa9Ws>)yYQ@o)R}kMi~E^MBy| z{J-q|yYIdJKa;OlpMU55y#M+?;QRmLZ~kVcuK%y)>(%FP-c`Pskz1YiF*@V|Qf zKbNmppZ|oui9d9Y^z78@|CGLnKNf%^UG_3HlriG2OH@(q9fGw~Po`QYz}f79##9sKXV{=dT4=n~cYzxf9L zpg-U6$2YXU?LYqd|Cjit{rca1BYs+aKG1J0zWyiT(;M~qpW@&4>j&S7A5fpw&&ikR z*Qu}nwfFkJl&@Exf4AoM|F_=j|IwxRP3rUi_!oam{c8TKey{rCe}})=*Z=;Xil0}X z|4sFS^0WW^{wMi*{agN8{!M=VU*_%`{LcO7oB!E+{XhGiI6&(2e{<@-!2kXKyZ8Ek z^ylLB>hpi`f4Q$$`$v8C|L|V_r|-pYP@n%Jbspsl{NMlo;OqYu{ujUX&71EZ#7}(x z2l3f|-s<apMHgU{m=6CKg-vvpOe2{?|=36zl+z?`l;9drF{Kgs^71^A>Y8i zp1+S5(-u=dHvdIj_xvx!=ikZYr1MXI)bCaA^Izj@_V544WAVCw{13%vWykr&*6Y># z{Dz{h_W*~q6KmR|)7ymtc`W^mP*RSj!nKyOq_^bZ&&G-Kb|NRgD ggZQkzp? +#include +#include + +using json = nlohmann::json; + +void GetNext(const std::string &pattern, std::vector &_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 match_positions; + int m = (int)pattern.size(); + + std::vector _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 0000000000000000000000000000000000000000..51d6d17243abd5845a3acd5fd965fb982aebfff9 GIT binary patch literal 127392 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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 Gmat(N * N); + Randomize::Integer randWeight(1, 9); + Randomize::Graph 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> G2(N, std::vector(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::max(); + std::vector 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 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 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 " + 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PU%kSVSn5!4u;PCKzH#~U literal 0 HcmV?d00001 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 +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>& C) +{ + vector LOWCOST(n+1); + vector 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> C(n+1, vector(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 0000000000000000000000000000000000000000..66c829e0166ec2b58a92c44e39bfcb6a58b17952 GIT binary patch literal 129104 zcmeFaeS8$v^*_E#5?JJ6f{MoHXoHdpng~%Mre-05S=nfmM-dw!1c?NQuuI|t65Iqb zT}M;3)mE*vRjbvCpQ;oQAt8|9GvE_y)rb$wxFQrq5QY5S?|WxvCrh@qpYQAU-)DWv 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+1,198 @@ +#include "algorithm-visualizer.h" +#include +#include +#include + +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 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 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 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 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 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(S); + char* Tbuf = const_cast(T); + + int pos = StrMatch_KMP(Sbuf, Tbuf, 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z{t&-^2LGkL?2{_xA3v>bKz&4gC-r6B;TY%Wky2mwU6oSyS;Zy%ar>W^(WO01rM~Q2 zD&=2wy-(>2CG@&%{- zwOb$S@Y82cmvX&2YxZH1^S{Lp_VYWso|OM_8Z7ms{GC%@_IZ@@6MvH@t5WL8**`e- zWnW<_KPwmN(rHfXPrAO0zpSGyHpvnW=WT{VmUz z@{_pi^HzP?r}>GlFW1TQKFS$zM{K= zj&;Y-{HKpRSKjM4I9GbU-sgFbHax}W&(g7cWa`U(XkQDvezC8b-pD}sgsxsZUyfl`m4{9R=dksE<))s= literal 0 HcmV?d00001 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 +#include +#include + +// 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 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; +}

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z{=Gh4-lx9Z&VPCS*Ks`EKl%RO*2n+0e80S)KOlcTzk!2kip$%6`G3@Jzx*HS@iRRz zwEpRze6M`YKgDzI_kaI?)p6hdu6n#y4}7e9ynN1I%bmZnGI*yppkgQF1LQdQ`>*48 zdQQIPGqzHDdq2|0pUNBcqnx)qy|2H2U!Ks9a{P~T&(pQiKlf4Qu6jlN{E7blU+Vey zm+ +#include +#include +#include + +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>& 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> 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> T = { + std::array{-1,-1}, + std::array{0,2}, + std::array{-1,-1}, + std::array{1,4}, + std::array{-1,-1}, + std::array{3,9}, + std::array{-1,-1}, + std::array{6,8}, + std::array{-1,-1}, + std::array{7,11}, + std::array{-1,-1}, + std::array{10,12}, + std::array{-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 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 0000000000000000000000000000000000000000..479e0a0e227677d8af1984cd92a9911f88256c6a 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z{CSU;@$NBYGxwgQ{rG;G4AZ#Z!>7q#_?m7PZFsxsWDdLs`rT}{_Y4U35Y2q|p5WhK#%KHy{Qn#Jvwrjg^@}|ISU)ch^j`PhZ{d$W zj{oKOQ+>QV?z?Zs?|;Jk`xt+_$M^N|^7z-i_y1Av?~Zr;-_^&<<7eLc{o{WdumA5~ z|9ULv|Ghq59{;vJ{*UQL|NIj?|EKZ49REM{@$&fnpHc_XHPXG4l=tbw%yIJk_ulcJ>*M9oUYPm>IZht`rGNaTdf(^zarzg3Lp`B?%5n1K zzrru>`Tw)uQSX<>KPzw4kN*ApH~M(y*geVr+-G?sUH3B{{uWtOI97V zx7Ysz^;`eHsYm~Q%lFIU4{-6n=^X!FAOBt-FYi;|Zs)%||C>0T?w@@B@9N`!SH53f z&>!HR&yR61O>ueKul|qv?N|R@J$|MKhSop*lkb(!`KNf!{r>O&uR8Ag|DhhQ)dL^v z9xtEsH@x##RtE3X22|{Xe1IG$fB#J!PtVEMe8yI4Z|_I?_)~eKew6c;r}y>u@5>YV zQI7wK_dH!I{c|5>?y6VR&!6h=|COG9e+5r}hX3XK<+{kc$+_cK^Y1_WYc +#include +#include + +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>& 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> 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> T = { + std::array{-1,-1}, + std::array{0,2}, + std::array{-1,-1}, + std::array{1,4}, + std::array{-1,-1}, + std::array{3,9}, + std::array{-1,-1}, + std::array{6,8}, + std::array{-1,-1}, + std::array{7,11}, + std::array{-1,-1}, + std::array{10,12}, + std::array{-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 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 0000000000000000000000000000000000000000..5774d320077093824de6c8fec423f49c8076f7dd GIT binary patch literal 638616 zcmeFa3wV^p^*_D|M8S%Q7b@0U#HyfG0|JIB8pPG5f<_>gsu*GjLgf-60lY+GLu%G_ zHMPdlRy0=IZ|db|v|=MwOc2?44{9~uqoTesSR}5%#4hFA^qtWIw_QabipJADA4ff4-M2Ql!fv`gYfr| zP;O`!K>Oo=fi4YxcV?;r_j`cGV}qPyT3C;(mv6RG#&+ zm@MEQdwA_#(xb`)${wZ03BZIymP`|97(%M6W9l%_m!7 zz50(7e*M?}Z_Q@N{dTL9NB+-O=tjl40RniZS5cBZ{T zU9Y}F$us!<#z;lq{dU_s8}%rc@B7i>3{BDPrPIR-EeQA9wX1P&&(3@7mv=~E~)hh4OW7$5socPb5cfqJ{ zdn*RtGG*DU%Zg(Y=Y0A<*Aj<(vkr0iAw6w*CO;1;;!qwr<8Q~`pA-f3!bJhy-Cgy&x$b>q0@zuQ`R5sK1&ZUVu*Qk32TSStAEU^Er{iCt5}?@t3C z2qLNIEKGwxVE5GcCugUI7eT10=-&l*mJ0rJ2s{;>^3F{mpL5dib6Og?Ice};+cR~$ 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