4.7假设图G采用邻接表存储，设计一个算法输出图G中从顶点u到顶点v的一条简单路径

#include <bits/stdc++.h>
#include "Graph.cpp"

using namespace std;
int visited[MAXV]; 

void FindaPath(ALGraph *G, int u, int v, vector<int> apath, vector<int> &path){
	int w;
	ArcNode *p;
	visited[u] = 1;
	apath.push_back(u);
	if(u == v){
		path = apath;
		return;
	}
	p = G->adjlist[u].firstarc; // p指向顶点u的第一个相邻点
	while(p != NULL){
		w = p->adjvex;
		if(visited[w] == 0)
			FindaPath(G, w, v, apath, path);
		p = p->nextarc;
	} 
	
} 

int main(){
	ALGraph *G;
	int A[][MAXV] ={
		{0,1,0,0,1},
		{0,0,1,1,1},
		{0,0,0,0,0},
		{0,0,1,0,1},
		{0,0,0,0,0}
	}; 
	int n = 5, e = 7;
	CreateAdj(G, A, n, e);
	cout << "图的邻接表如下：" << endl;
	DispAdj(G); 
	vector<int> apath, path;
	for(int i = 0; i < n; i++)
		for(int j = 0; j < n; j++)
			if(i != j){
				memset(visited,0,sizeof(visited));
				path.clear();
				FindaPath(G, i, j, apath, path);
				if(path.size() > 0){
					cout << "顶点" << i << "到顶点" << j << "的简单路径：";
					for(int k = 0; k < path.size(); k++)
						cout << path[k] << " ";
					cout << endl; 
				}
			}
	
	return 0;
}

#include <bits/stdc++.h>
#define MAXV 50 // 最大顶点个数
#define MAXL 20
#define INF 0x3f3f3f3f  //表示∞ 

using namespace std;

typedef struct ANode {
	int adjvex; // 该边的终点编号
	int weight; // 改变的权值
	struct ANode *nextarc; //指向下一条边的指针
} ArcNode; // 边结点的类型

typedef struct Vnode {
	char data[MAXL]; // 顶点信息
	ArcNode *firstarc; // 指向第一条边
} VNode; // 邻接表的表头的结点类型

typedef VNode AdjList[MAXV]; // AdjList是邻接表类型

typedef struct {
	AdjList adjlist; // 邻接表
	int n, e; // 图中的顶点数和边数
} ALGraph; // 图

void CreateAdj(ALGraph *&G, int A[][MAXV], int n, int e) { //建立图的邻接表
	ArcNode *p;
	G = (ALGraph *) malloc (sizeof(ALGraph));
	G->n = n;
	G->e = e;
	for(int k = 0; k < n; k++)
		G->adjlist[k].firstarc = NULL;
	for(int i = 0; i < n; i++)
		for(int j = 0; j < n; j++)
			if(A[i][j] != 0 && A[i][j] != INF) {
				p = (ArcNode *) malloc (sizeof(ArcNode));
				p->adjvex = j;
				p->weight = A[i][j];
				p->nextarc = G->adjlist[i].firstarc;
				G->adjlist[i].firstarc = p;
			}
}

void DispAdj(ALGraph *G) {
	ArcNode *p;
	for(int i = 0; i < G->n; i++) {
		cout << i;
		p = G->adjlist[i].firstarc;
		while(p != NULL) {
			cout << "->" << "结点编号：" << p->adjvex << " 边的权值：" << p->weight;
			p = p->nextarc;
		}
		cout << "^" << endl;
	}
}

void DestroyAdj(ALGraph *&G) { // 销毁图的邻接表
	ArcNode * pre ,*p;
	for(int i = 0; i < G->n; i++) {
		pre = G->adjlist[i].firstarc;
		while(pre != NULL) {
			p = pre->nextarc;
			free(pre);
			pre = p;
		}
	}
	free(G);
}