一步一步复习数据结构和算法基础-dijkstra算法

#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#define number 20
#define MAX 999999
int d[number];
typedef struct node
{
int info;		//图的节点存放的信息，可随时变动
}GraphNode;
typedef struct
{
GraphNode matrix[number+1][number+1];		//构造邻接矩阵
int vexs[number+1];							//顶点向量
int vertex,edge;							//顶点个数、弧个数
}Graph;

//创建图
void CreatGraph(Graph *G)
{
int i,k;
int x,y,data;
int vertex,edge;
printf("输入图的顶点个数和边的个数.\n");
scanf("%d%d",&vertex,&edge);
G->vertex = vertex;G->edge = edge;
printf("输入图的每个顶点.\n");
for(i=1;i<=vertex;i++)
scanf("%d",&G->vexs[i]);
for(i=1;i<=vertex;i++)
for(k=1;k<=vertex;k++)
{
if(i == k)G->matrix[i][k].info=0;
else G->matrix[i][k].info = MAX;
}

printf("请输入 %d 条边的横坐标、纵坐标、数值.\n",edge);
for(i=1;i<=edge;i++)
{
scanf("%d%d%d",&x,&y,&data);
G->matrix[x][y].info=data;
}
}

void RecoverGraph(Graph *G)
{
int i,k;
for(i=1;i<=G->vertex;i++)
for(k=1;k<=G->vertex;k++)
G->matrix[i][k].info=0;
memset(G->vexs,0,sizeof(G->vexs));
G->vertex = G->edge = 0;

}

void Dijkstra(Graph *G,int start)
{
int v,min,w,i;
int final[number];
for(v=1;v<=G->vertex;v++)
{
final[v] = 0;
d[v] = G->matrix[start][v].info;
}
d[start] = 0;final[start]=1;
for(i=2;i<=G->vertex;i++)
{
min = 99999;
for(w=1;w<=G->vertex;w++)
if(!final[w])
if(d[w] < min){v=w;min = d[w];}
final[v] = 1;
for(w=1;w<=G->vertex;w++)
{
if(!final[w] && min + G->matrix[v][w].info < d[w])
d[w] = min + G->matrix[v][w].info;
}
}
}

void ShowPath(Graph *G,int start)
{
int i;
printf("\n\n");
for(i=1;i<=G->vertex;i++)
{
if(d[i] == MAX)
printf("顶点 %d 到顶点 %d 不连通.\n");
else
printf("顶点 %d 到顶点 %d 最短距离是 %d \n",G->vexs[start],G->vexs[i],d[i]);
}
printf("\n");
}
int main()
{
Graph G;
int start;
CreatGraph(&G);
printf("输入出发的顶点.\n");
scanf("%d",&start);
Dijkstra(&G,start);
ShowPath(&G,start);
RecoverGraph(&G);
return 0;
}
/*
6 8
1 2 3 4 5 6
1 3 10
1 5 30
1 6 100
2 3 5
3 4 50
5 4 20
5 6 60
4 6 10
*/