193 lines
3.9 KiB
C++
193 lines
3.9 KiB
C++
#include <stdio.h>
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#include <stdlib.h>
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#define TRUE 1
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#define FALSE 0
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#define queuesize 10
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#define maxvernum 8
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typedef struct queue {
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int elements[queuesize];
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int front;
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int rear;
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} queue;
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// 入队函数
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int enQueue(queue* q, int value) {
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if ((q->rear + 1) % queuesize == q->front) {
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return FALSE;
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}
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q->elements[q->rear] = value;
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q->rear = (q->rear + 1) % queuesize;
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return TRUE;
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}
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// 出队函数
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int deQueue(queue* q, int* value) {
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if (q->front == q->rear) {
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return FALSE;
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}
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*value = q->elements[q->front];
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q->front = (q->front + 1) % queuesize;
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return TRUE;
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}
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// 初始化队列
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void initQueue(queue* q) {
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q->front = 0;
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q->rear = 0;
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}
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// 单链表节点定义
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typedef struct Node {
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int data;
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struct Node* next;
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} Node;
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// 顶点结点(邻接表头)
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typedef struct VexNode {
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int vexnum;
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Node* firstedge;
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} VexNode;
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// 邻接表
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typedef struct AdjList {
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VexNode adjlist[maxvernum];
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int vexnum;
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int edgenum;
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} AdjList;
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// 定位顶点值
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int locateVex(AdjList* G, int v) {
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for (int i = 0; i < G->vexnum; i++) {
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if (G->adjlist[i].vexnum == v) {
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return i;
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}
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}
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return -1;
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}
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// 创建有向图
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void Creategraph(AdjList* g) {
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int i, k, v1, v2;
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printf("请输入顶点数和边数(空格分隔):", maxvernum);
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scanf_s("%d %d", &g->vexnum, &g->edgenum);
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// 初始化顶点
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for (i = 0; i < g->vexnum; i++) {
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g->adjlist[i].vexnum = i + 1;
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g->adjlist[i].firstedge = NULL;
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}
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printf("当前顶点为:");
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for (i = 0; i < g->vexnum; i++) {
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printf("v%d ", g->adjlist[i].vexnum);
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}
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printf("\n");
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// 依次输入每条有向边(弧头 v1 -> 弧尾 v2),用空格分隔
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for (k = 0; k < g->edgenum; k++) {
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printf("请输入第%d条有向边的弧头 和 弧尾(用空格分隔):", k + 1);
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scanf_s("%d %d", &v1, &v2);
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int i_idx = locateVex(g, v1);
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int j_idx = locateVex(g, v2);
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if (i_idx >= 0 && j_idx >= 0) {
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// 在 v1 的链表末尾加入 v2
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Node* bss = (Node*)malloc(sizeof(Node));
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if (!bss) {
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printf("内存分配失败");
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return;
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}
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bss->data = v2;
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bss->next = NULL;
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if (g->adjlist[i_idx].firstedge == NULL) {
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g->adjlist[i_idx].firstedge = bss;
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}
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else {
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Node* q = g->adjlist[i_idx].firstedge;
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while (q->next) q = q->next;
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q->next = bss;
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}
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}
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else {
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printf("顶点 %d 或 %d 不存在,边被忽略\n", v1, v2);
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}
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}
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// 输出邻接表
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printf("输出各个顶点的邻接表:\n");
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for (i = 0; i < g->vexnum; i++) {
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printf("顶点 v%d", g->adjlist[i].vexnum);
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Node* p = g->adjlist[i].firstedge;
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while (p) {
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printf(" --> v%d", p->data);
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p = p->next;
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}
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printf("\n");
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}
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}
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// 深度优先遍历
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void DFS(AdjList* G, int v, int visited[]) {
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int i = locateVex(G, v);
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visited[i] = 1;
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printf("%d ", G->adjlist[i].vexnum);
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Node* p = G->adjlist[i].firstedge;
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while (p != NULL) {
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int j = locateVex(G, p->data);
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if (j != -1 && !visited[j]) {
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DFS(G, p->data, visited);
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}
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p = p->next;
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}
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}
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// 广度优先遍历
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void BFS(AdjList* G, int v, int visited[]) {
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queue q;
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initQueue(&q);
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int i = locateVex(G, v);
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if (i == -1) return;
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visited[i] = 1;
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printf("%d ", G->adjlist[i].vexnum);
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enQueue(&q, v);
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int w;
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while (deQueue(&q, &w)) {
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int k = locateVex(G, w);
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if (k == -1) continue;
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Node* p = G->adjlist[k].firstedge;
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while (p != NULL) {
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int j = locateVex(G, p->data);
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if (j != -1 && !visited[j]) {
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visited[j] = 1;
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printf("%d ", G->adjlist[j].vexnum);
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enQueue(&q, p->data);
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}
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p = p->next;
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}
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}
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}
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int main() {
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AdjList G;
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Creategraph(&G);
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int visited[maxvernum] = { 0 };
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printf("深度优先遍历结果:");
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for (int i = 0; i < G.vexnum; i++) {
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if (!visited[i]) {
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DFS(&G, G.adjlist[i].vexnum, visited);
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}
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}
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printf("\n");
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for (int i = 0; i < maxvernum; i++) visited[i] = 0;
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printf("广度优先遍历结果:");
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for (int i = 0; i < G.vexnum; i++) {
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if (!visited[i]) {
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BFS(&G, G.adjlist[i].vexnum, visited);
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}
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}
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return 0;
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}
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