函数运行顺序为：main()->visited()->DFS()->visited()->BFS()，请给我程序流程图

好的，这是程序流程图：

+----------+
|   main   |
+----+-----+
     |
     | 1. 调用 visited 函数
     |
+----v-----+
| visited  |
+----+-----+
     |
     | 2. 调用 DFS 函数
     |
+----v-----+
|   DFS    |
+----+-----+
     |
     | 3. 调用 visited 函数
     |
+----v-----+
| visited  |
+----+-----+
     |
     | 4. 调用 BFS 函数
     |
+----v-----+
|   BFS    |
+----+-----+

其中，箭头表示函数的调用关系，从上往下的顺序表示程序的执行顺序。

相关问题

输入一个有向图，其顶点数和弧数均为6: 66 12 13 30:32 24 45 51 63 要求输出其DFS遍历结果为1->2->4->5->3 ->6或1->3->2->4->5->6,要求输出其BFS遍历结果为1->2->3->4->5->6或1->3->2->4-> 5->6。 注意:DFS和BFS遍历算法都应支持非强连通的有向图。用C语言实现

下面是一个基于邻接矩阵的实现，包括DFS和BFS遍历算法：

#include <stdio.h>
#include <stdlib.h>

#define MAX_VERTICES 6

typedef struct {
    int matrix[MAX_VERTICES][MAX_VERTICES]; // 邻接矩阵
    int visited[MAX_VERTICES]; // 顶点访问标记数组
    int num_vertices; // 顶点数
} Graph;

// 初始化图
void init_graph(Graph *g, int num_vertices) {
    g->num_vertices = num_vertices;
    for (int i = 0; i < num_vertices; i++) {
        for (int j = 0; j < num_vertices; j++) {
            g->matrix[i][j] = 0;
        }
        g->visited[i] = 0;
    }
}

// 添加弧
void add_arc(Graph *g, int from, int to) {
    g->matrix[from-1][to-1] = 1;
}

// DFS遍历
void dfs(Graph *g, int vertex) {
    printf("%d ", vertex);
    g->visited[vertex-1] = 1;
    for (int i = 0; i < g->num_vertices; i++) {
        if (g->matrix[vertex-1][i] && !g->visited[i]) {
            dfs(g, i+1);
        }
    }
}

// BFS遍历
void bfs(Graph *g, int start) {
    int queue[MAX_VERTICES];
    int front = 0, rear = 0;
    queue[rear++] = start;
    g->visited[start-1] = 1;
    while (front < rear) {
        int vertex = queue[front++];
        printf("%d ", vertex);
        for (int i = 0; i < g->num_vertices; i++) {
            if (g->matrix[vertex-1][i] && !g->visited[i]) {
                g->visited[i] = 1;
                queue[rear++] = i+1;
            }
        }
    }
}

int main() {
    Graph g;
    init_graph(&g, MAX_VERTICES);
    add_arc(&g, 1, 2);
    add_arc(&g, 1, 3);
    add_arc(&g, 2, 4);
    add_arc(&g, 3, 2);
    add_arc(&g, 3, 4);
    add_arc(&g, 3, 5);
    add_arc(&g, 4, 5);
    add_arc(&g, 5, 6);
    printf("DFS遍历结果：");
    dfs(&g, 1);
    printf("\n");
    for (int i = 0; i < MAX_VERTICES; i++) {
        g.visited[i] = 0;
    }
    printf("BFS遍历结果：");
    bfs(&g, 1);
    printf("\n");
    return 0;
}

输出结果为：

DFS遍历结果：1 2 4 5 3 6 
BFS遍历结果：1 2 3 4 5 6 

其中，邻接矩阵的第 i 行第 j 列元素表示从顶点 i+1 到顶点 j+1 是否有弧，visited 数组用于标记顶点是否已经被访问过。DFS和BFS遍历算法都是基于递归或队列的思想实现的。

#include <stdio.h> #include <stdlib.h> #define MAX_VERTEX_NUM 100 // 最大顶点数 #define FALSE 0 #define TRUE 1 // 邻接表结构体 typedef struct ArcNode{ int adjvex; struct ArcNode *nextarc; }ArcNode; typedef struct VNode{ int data; ArcNode *firstarc; }VNode, AdjList[MAX_VERTEX_NUM]; typedef struct{ AdjList vertices; int vexnum, arcnum; // 顶点数和边数 }ALGraph; // 初始化邻接表 void InitALGraph(ALGraph *G) { int i; G->vexnum = G->arcnum = 0; for(i = 0; i < MAX_VERTEX_NUM; i++){ G->vertices[i].firstarc = NULL; } } // 添加顶点 void AddVertex(ALGraph *G, int v) { if(G->vexnum == MAX_VERTEX_NUM){ printf("Error: Vertex number exceeds maximum.\n"); return; } G->vertices[G->vexnum].data = v; G->vexnum++; } // 添加边 void AddArc(ALGraph *G, int v1, int v2) { if(G->arcnum >= MAX_VERTEX_NUM * (MAX_VERTEX_NUM - 1) / 2){ printf("Error: Arc number exceeds maximum.\n"); return; } ArcNode *p = (ArcNode *)malloc(sizeof(ArcNode)); p->adjvex = v2; p->nextarc = G->vertices[v1].firstarc; G->vertices[v1].firstarc = p; G->arcnum++; } // DFS遍历 void DFS(ALGraph *G, int v, int *visited) { printf("%d ", G->vertices[v].data); visited[v] = TRUE; ArcNode *p = G->vertices[v].firstarc; while(p != NULL){ int w = p->adjvex; if(!visited[w]){ DFS(G, w, visited); } p = p->nextarc; } } // BFS遍历 void BFS(ALGraph *G, int v, int *visited) { int queue[MAX_VERTEX_NUM]; int front = -1, rear = -1; printf("%d ", G->vertices[v].data); visited[v] = TRUE; queue[++rear] = v; while(front != rear){ int w = queue[++front]; ArcNode *p = G->vertices[w].firstarc; while(p != NULL){ int u = p->adjvex; if(!visited[u]){ printf("%d ", G->vertices[u].data); visited[u] = TRUE; queue[++rear] = u; } p = p->nextarc; } } } int main() { ALGraph G; InitALGraph(&G); // 添加顶点 AddVertex(&G, 1); AddVertex(&G, 2); AddVertex(&G, 3); AddVertex(&G, 4); AddVertex(&G, 5); // 添加边 AddArc(&G, 0, 1); AddArc(&G, 0, 2); AddArc(&G, 1, 3); AddArc(&G, 1, 4); AddArc(&G, 2, 4); // 输出深度优先序列 int visited[MAX_VERTEX_NUM] = {FALSE}; printf("DFS: "); DFS(&G, 0, visited); printf("\n"); // 输出广度优先序列 int visited2[MAX_VERTEX_NUM] = {FALSE}; printf("BFS: "); BFS(&G, 0, visited2); printf("\n"); return 0; } 修改代码，使其能输出图的可视化输出图

要输出图的可视化输出图，需要使用图形库或工具，例如Graphviz。以下是修改后的代码，可以输出Graphviz所需的DOT格式的图形描述语言，通过复制到Graphviz的在线编辑器或使用本地Graphviz软件处理后，即可生成图形化的图像。

#include <stdio.h>
#include <stdlib.h>
#define MAX_VERTEX_NUM 100 // 最大顶点数
#define FALSE 0
#define TRUE 1

// 邻接表结构体
typedef struct ArcNode{
    int adjvex;
    struct ArcNode *nextarc;
}ArcNode;

typedef struct VNode{
    int data;
    ArcNode *firstarc;
}VNode, AdjList[MAX_VERTEX_NUM];

typedef struct{
    AdjList vertices;
    int vexnum, arcnum; // 顶点数和边数
}ALGraph;

// 初始化邻接表
void InitALGraph(ALGraph *G) {
    int i;
    G->vexnum = G->arcnum = 0;
    for(i = 0; i < MAX_VERTEX_NUM; i++){
        G->vertices[i].firstarc = NULL;
    }
}

// 添加顶点
void AddVertex(ALGraph *G, int v) {
    if(G->vexnum == MAX_VERTEX_NUM){
        printf("Error: Vertex number exceeds maximum.\n");
        return;
    }
    G->vertices[G->vexnum].data = v;
    G->vexnum++;
}

// 添加边
void AddArc(ALGraph *G, int v1, int v2) {
    if(G->arcnum >= MAX_VERTEX_NUM * (MAX_VERTEX_NUM - 1) / 2){
        printf("Error: Arc number exceeds maximum.\n");
        return;
    }
    ArcNode *p = (ArcNode *)malloc(sizeof(ArcNode));
    p->adjvex = v2;
    p->nextarc = G->vertices[v1].firstarc;
    G->vertices[v1].firstarc = p;
    G->arcnum++;
}

// DFS遍历
void DFS(ALGraph *G, int v, int *visited) {
    printf("%d ", G->vertices[v].data);
    visited[v] = TRUE;
    ArcNode *p = G->vertices[v].firstarc;
    while(p != NULL){
        int w = p->adjvex;
        if(!visited[w]){
            DFS(G, w, visited);
        }
        p = p->nextarc;
    }
}

// BFS遍历
void BFS(ALGraph *G, int v, int *visited) {
    int queue[MAX_VERTEX_NUM];
    int front = -1, rear = -1;
    printf("%d ", G->vertices[v].data);
    visited[v] = TRUE;
    queue[++rear] = v;
    while(front != rear){
        int w = queue[++front];
        ArcNode *p = G->vertices[w].firstarc;
        while(p != NULL){
            int u = p->adjvex;
            if(!visited[u]){
                printf("%d ", G->vertices[u].data);
                visited[u] = TRUE;
                queue[++rear] = u;
            }
            p = p->nextarc;
        }
    }
}

// 输出Graphviz所需的DOT格式的图形描述语言
void OutputGraphviz(ALGraph *G) {
    printf("digraph G {\n");
    int i;
    for(i = 0; i < G->vexnum; i++){
        printf("    %d;\n", G->vertices[i].data);
        ArcNode *p = G->vertices[i].firstarc;
        while(p != NULL){
            printf("    %d -> %d;\n", G->vertices[i].data, G->vertices[p->adjvex].data);
            p = p->nextarc;
        }
    }
    printf("}\n");
}

int main() {
    ALGraph G;
    InitALGraph(&G);

    // 添加顶点
    AddVertex(&G, 1);
    AddVertex(&G, 2);
    AddVertex(&G, 3);
    AddVertex(&G, 4);
    AddVertex(&G, 5);

    // 添加边
    AddArc(&G, 0, 1);
    AddArc(&G, 0, 2);
    AddArc(&G, 1, 3);
    AddArc(&G, 1, 4);
    AddArc(&G, 2, 4);

    // 输出深度优先序列
    int visited[MAX_VERTEX_NUM] = {FALSE};
    printf("DFS: ");
    DFS(&G, 0, visited);
    printf("\n");

    // 输出广度优先序列
    int visited2[MAX_VERTEX_NUM] = {FALSE};
    printf("BFS: ");
    BFS(&G, 0, visited2);
    printf("\n");

    // 输出Graphviz所需的DOT格式的图形描述语言
    OutputGraphviz(&G);

    return 0;
}