void prim(adjmgraph g,minspantree closevertex[]) { vert x; int n=g.vertices.size,mincost; int *lowcost=(int *)malloc(sizeof(int)*n); int i,j,k=0; for(i=1;i<n;i++) lowcost[i]=g.edge[0][i]; Listget(g.vertices,0,&x); closevertex[0].vertex=x; lowcost[0]=-1; for(i=1;i<n;i++) { mincost=maxweight; for(j=1;j<n;j++) { if(lowcost[j]<mincost&&lowcost[j]>0) { mincost=lowcost[j]; k=j; } } } Listget(g.vertices,k,&x); closevertex[i].vertex=x; closevertex[i].weight=mincost; lowcost[k]=-1; for(j=1;j<n;j++) { if(g.edge[k][j]<lowcost[j]) lowcost[j]=g.edge[k][j]; } }

这是一个实现Prim最小生成树算法的代码。算法的基本思想是从图中的某个顶点开始，每次找到与当前生成树集合相邻的权值最小的顶点，将其加入生成树集合中，直到生成树集合包含所有顶点为止。具体实现中，代码首先初始化lowcost数组，表示当前生成树集合与其余顶点的最小权值。然后从第一个顶点开始寻找权值最小的相邻顶点，将其加入生成树集合中，并更新lowcost数组。重复该过程，直到生成树集合包含所有顶点为止。

注：由于代码缩进不够规范，有可能存在语法错误。

相关问题

void MiniSpanTree_Prim(AMGraph* G, int u) { int k = 0; k = LocateVex(G, u); for (int j = 0; j < G->vexnum; j++) { if (j != k) closedge[j] = { u,G->arcs[k][j] }; } closedge[k].lowcost = 0; for (int i = 0; i < G->vexnum; i++) { k = Min(closedge); int u0 = closedge[k].adjvex; int v0 = G->vexs[k]; printf("%d %d", u0, v0); closedge[k].lowcost = 0; for (int j = 0; j < G->vexnum; j++) { if (G->arcs[i][j] < closedge[j].lowcost) { closedge[i] = { G->vexs[k],G->arcs[i][j] }; } } } }

以下是将该段代码转换为C语言的代码：

void MiniSpanTree_Prim(AMGraph* G, int u) {
    int k = 0;
    k = LocateVex(G, u);
    for (int j = 0; j < G->vexnum; j++) {
        if (j != k) {
            closedge[j].adjvex = u;
            closedge[j].lowcost = G->arcs[k][j];
        }
    }
    closedge[k].lowcost = 0;
    for (int i = 0; i < G->vexnum; i++) {
        k = Min(closedge);
        int u0 = closedge[k].adjvex;
        int v0 = G->vexs[k];
        printf("%d %d", u0, v0);
        closedge[k].lowcost = 0;
        for (int j = 0; j < G->vexnum; j++) {
            if (G->arcs[i][j] < closedge[j].lowcost) {
                closedge[j].adjvex = G->vexs[k];
                closedge[j].lowcost = G->arcs[i][j];
            }
        }
    }
}

#include <iostream> #define MVNum 100 #define MaxInt 32767 using namespace std; struct edge{ char adjvex; int lowcost; }closedge[MVNum]; typedef struct{ char vexs[MVNum]; int arcs[MVNum][MVNum]; int vexnum,arcnum; }AMGraph; int LocateVex(AMGraph G , char v);//实现细节隐藏 int CreateUDN(AMGraph &G);//实现细节隐藏 int Min(AMGraph G){ int i; int index = -1; int min = MaxInt; for(i = 0 ; i < G.vexnum ; ++i){ if( ){ min = closedge[i].lowcost; index = i; } } return index; } void MiniSpanTree_Prim(AMGraph G, char u){ int k , j , i; char u0 , v0; k =LocateVex(G, u); for(j = 0; j < G.vexnum; ++j){ if(j != k){ closedge[j].adjvex = ; closedge[j].lowcost = ; } } closedge[k].lowcost = ; for(i = 1; i < G.vexnum; ++i){ k = ; u0 = closedge[k].adjvex; v0 = G.vexs[k]; cout << u0 << "->" << v0 << endl; closedge[k].lowcost = ; for(j = 0; j < G.vexnum; ++j) if(G.arcs[k][j] < closedge[j].lowcost){ closedge[j].adjvex = ; closedge[j].lowcost = ; } } } int main(){ AMGraph G; CreateUDN(G); char u; cin >> u; MiniSpanTree_Prim(G , u); return 0; } 补充代码

在代码中，需要完成以下部分的补充：

1. 在 Min 函数中，需要添加判断条件来判断 closedge[i].lowcost 是否小于 min。

2. 在 MiniSpanTree_Prim 函数中，需要根据 Prim 算法的步骤补充代码，并且需要实现 LocateVex 函数来找到对应顶点在图中的位置。

补充后的代码如下：

#include <iostream>
#define MVNum 100
#define MaxInt 32767

using namespace std;

struct edge{
    char adjvex;
    int lowcost;
}closedge[MVNum];

typedef struct{
    char vexs[MVNum];
    int arcs[MVNum][MVNum];
    int vexnum,arcnum;
}AMGraph;

int LocateVex(AMGraph G , char v);//实现细节隐藏 
int CreateUDN(AMGraph &G);//实现细节隐藏 

int Min(AMGraph G){
    int i;
    int index = -1;
    int min = MaxInt;
    for(i = 0 ; i < G.vexnum ; ++i){
        if(closedge[i].lowcost < min){
            min = closedge[i].lowcost;
            index = i;
        }
    }
    return index;
}

void MiniSpanTree_Prim(AMGraph G, char u){
    int k , j , i;
    char u0 , v0;
    k =LocateVex(G, u);
    for(j = 0; j < G.vexnum; ++j){
        if(j != k){
            closedge[j].adjvex = G.vexs[k];
            closedge[j].lowcost = G.arcs[k][j];
        }
    }
    closedge[k].lowcost = 0;
    for(i = 1; i < G.vexnum; ++i){
        k = Min(G);
        u0 = closedge[k].adjvex;
        v0 = G.vexs[k];
        cout << u0 << "->" << v0 << endl;
        closedge[k].lowcost = 0;
        for(j = 0; j < G.vexnum; ++j)
            if(G.arcs[k][j] < closedge[j].lowcost){
                closedge[j].adjvex = G.vexs[k];
                closedge[j].lowcost = G.arcs[k][j];
            }
    }
}

int LocateVex(AMGraph G , char v){
    int i;
    for(i = 0 ; i < G.vexnum ; ++i){
        if(G.vexs[i] == v){
            return i;
        }
    }
    return -1;
}

int CreateUDN(AMGraph &G){
    int i , j , k;
    cout << "请输入顶点数和边数：";
    cin >> G.vexnum >> G.arcnum;
    cout << "请依次输入每个顶点的信息：";
    for(i = 0 ; i < G.vexnum ; ++i){
        cin >> G.vexs[i];
    }
    for(i = 0 ; i < G.vexnum ; ++i){
        for(j = 0 ; j < G.vexnum ; ++j){
            G.arcs[i][j] = MaxInt;
        }
    }
    cout << "请依次输入每条边的两个顶点及其权值：";
    for(k = 0 ; k < G.arcnum ; ++k){
        char v1 , v2;
        int w;
        cin >> v1 >> v2 >> w;
        i = LocateVex(G , v1);
        j = LocateVex(G , v2);
        G.arcs[i][j] = w;
        G.arcs[j][i] = w;
    }
    return 1;
}

int main(){
    AMGraph G;
    CreateUDN(G);
    char u;
    cin >> u;
    MiniSpanTree_Prim(G , u);
    return 0;
}