prim
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define up(i,a,n) for(int i=a;i<=n;i++)
#define pb push_back
const int inf=0x3f3f3f3f;
const int maxn=5e3+10;
bool vis[maxn];
int n,m,tot,ans,dis[maxn];
struct node
{
int to,cap;
friend bool operator < (node a,node b)
{
return a.cap>b.cap;
}
};
vector<node>g[maxn];
void add(int x,int y,int z)
{
g[x].pb(node{y,z});
g[y].pb(node{x,z});
}
void init()
{
scanf("%d %d",&n,&m);
int u,v,ca;
up(i,1,m)
{
scanf("%d %d %d",&u,&v,&ca);
add(u,v,ca);
}
}
int prim()
{ int sum=0;
memset(vis,false,sizeof(vis));
priority_queue<node>q;
q.push(node{1,0});
while(!q.empty())
{
node s=q.top();q.pop();
if(vis[s.to])continue;
vis[s.to]=true;
sum+=s.cap;
for(auto k:g[s.to])
{
if(!vis[k.to])
q.push(k);
}
}
return sum;
}
int main()
{
init();
cout<<prim()<<endl;
}
kruskal
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define up(i,a,n) for(int i=a;i<=n;i++)
#define pb push_back
const int maxn=5e4+10;
int n,m,fa[maxn],ans,cnt;
struct node{
int u,v,cost;
}edge[maxn<<2];
int find(int x)
{
while(x!=fa[x])x=fa[x]=fa[fa[x]];
return x;
}
int cmp(node a,node b)
{
return a.cost<b.cost;
}
void init()//建图
{
scanf("%d %d",&n,&m);
up(i,1,m)
{
scanf("%d%d%d",&edge[i].u,&edge[i].v,&edge[i].cost);
}
up(i,1,n)fa[i]=i;
}
void kruskal()
{
sort(edge,edge+m,cmp);//给权值排序
for(int i=0;i<m;i++)
{
int du=find(edge[i].u),dv=find(edge[i].v);
if(du==dv)continue;//查找是否成环
ans+=edge[i].cost;
fa[dv]=du;
if(++cnt==n-1)break;//当找到了之后
}
}
int main()
{
init();
kruskal();
cout<<ans<<endl;
}