AcWing 858. Prim算法求最小生成树
//y总做法
#include <bits/stdc++.h>
using namespace std;
const int N = 510,INF=0x3f3f3f3f;
int n, m;
int g[N][N];
bool st[N];
int dist[N];
int prim() {
memset(dist, 0x3f, sizeof dist);
int res = 0;
dist[n]=0;
for (int i = 0; i < n; i++) {
int t = -1;
for (int j = 1; j <= n; j++)
if (!st[j] && (t == -1 || dist[t] > dist[j])) t = j;
if (i && dist[t] == INF) return INF;
if (i) res += dist[t];
for (int j = 1; j <= n; j++) dist[j] = min(dist[j], g[t][j]);
st[t] = true;
}
return res;
}
int main() {
scanf("%d%d", &n, &m);
memset(g, 0x3f, sizeof g);
while (m--) {
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
g[a][b] = g[b][a] = min(g[a][b], c);
}
int t = prim();
if (t == INF) printf("impossible");
else printf("%d", t);
return 0;
}
/*
//算法竞赛进阶指南
#include <bits/stdc++.h>
using namespace std;
const int N=510,INF=0x3f3f3f3f;
int n,m;
int g[N][N],ans;
//dist表示点到集合的距离
int dist[N];
bool st[N];
void prim(){
memset(dist,0x3f,sizeof dist);
dist[1]=0;
for(int i=1;i<n;i++){
int t=-1;
for(int j=1;j<=n;j++)
if(!st[j]&&(t==-1||dist[t]>dist[j]))
t=j;
st[t]=true;
for(int j=1;j<=n;j++)
if(!st[j]) dist[j]=min(dist[j],g[t][j]);
}
}
int main(){
scanf("%d%d",&n,&m);
memset(g,0x3f,sizeof g);
while(m--){
int a,b,c;
scanf("%d%d%d",&a,&b,&c);
g[a][b]=g[b][a]=min(g[a][b],c);
}
prim();
for(int i=2;i<=n;i++) ans+=dist[i];
if(ans>INF/2) printf("impossible");
else printf("%d",ans);
return 0;
}
*/