1 2 3 9 11wale 13re QAQ
#include<iostream>
#include<cstdio>
#include<vector>
#include<algorithm>
using namespace std;
int ans=0;
int n,m;
struct Edge
{
int x,y,z;
}te;
vector<Edge> edge;
vector<Edge> tree_edge;
vector<int> tree[110005];
bool used[110005];
int depth[110005];
int f[110005];
int fa[110005][25];
int maxn[110005][25];
int maxn2[110005][25];
bool cmp(Edge a,Edge b)
{
return a.z<b.z;
}
int find(int a)
{
if(f[a]==a)
return a;
f[a]=find(f[a]);
return f[a];
}
void init()
{
scanf("%d%d",&n,&m);
for(int i=1;i<=n;i++)
{
f[i]=i;
}
for(int i=1;i<=m;i++)
{
int x,y,z;
scanf("%d%d%d",&x,&y,&z);
te.x=x;
te.y=y;
te.z=z;
if(x==y)
continue;
edge.push_back(te);
}
}
void kruskal()
{
sort(edge.begin(),edge.end(),cmp);
for(int i=0;i<edge.size();i++)
{
int x,y,z;
x=edge[i].x;
y=edge[i].y;
z=edge[i].z;
if(find(x)!=find(y))
{
te.x=x;
te.y=y;
te.z=z;
tree_edge.push_back(te);
te.x=y;
te.y=x;
tree_edge.push_back(te);
ans+=z;
used[i]=1;
f[find(y)]=find(x);
}
}
}
void dfs(int now,int father,int ev)
{
fa[now][0]=father;
maxn[now][0]=ev;
maxn2[now][0]=0;
depth[now]=depth[father]+1;
for(int i=1;i<=20;i++)
{
fa[now][i]=fa[fa[now][i-1]][i-1];
}
for(int i=1;i<=20;i++)
{
maxn2[now][i]=max(maxn2[now][i-1],maxn2[fa[now][i-1]][i-1]);
if(maxn[now][i-1]!=maxn[fa[now][i-1]][i-1])
{
maxn2[now][i]=max(maxn2[now][i],min(maxn[now][i-1],maxn[fa[now][i-1]][i-1]));
}
maxn[now][i]=max(maxn[now][i-1],maxn[fa[now][i-1]][i-1]);
}
for(int i=0;i<tree[now].size();i++)
{
int next=tree_edge[tree[now][i]].y;
if(next==father)
continue;
int v=tree_edge[tree[now][i]].z;
dfs(next,now,v);
}
}
void build()
{
for(int i=0;i<tree_edge.size();i++)
{
tree[tree_edge[i].x].push_back(i);
}
dfs(1,0,0);
}
int LCA(int x,int y,int alternative)
{
int maxa=0;
int maxa2=0;
if(depth[x]<depth[y])
{
swap(x,y);
}
for(int i=20;i>=0;i--)
{
if(depth[fa[x][i]]>=depth[y])
{
maxa2=max(maxn2[x][i],maxa2);
if(maxa!=maxn[x][i])
{
maxa2=max(maxa2,min(maxa,maxn[x][i]));
}
maxa=max(maxa,maxn[x][i]);
x=fa[x][i];
}
}
if(x==y)
return maxa2;
for(int i=20;i>=0;i--)
{
if(fa[x][i]!=fa[y][i])
{
maxa2=max(maxn2[x][i],maxa2);
if(maxa!=maxn[x][i])
{
maxa2=max(maxa2,min(maxa,maxn[x][i]));
}
maxa=max(maxa,maxn[y][i]);
maxa2=max(maxn2[y][i],maxa2);
if(maxa!=maxn[y][i])
{
maxa2=max(maxa2,min(maxa,maxn[y][i]));
}
maxa=max(maxa,maxn[y][i]);
x=fa[x][i];
y=fa[y][i];
}
}
if(maxa!=maxn[x][0])
{
maxa2=min(maxa,maxn[x][0]);
}
else
{
maxa2=max(maxn2[x][0],maxa2);
}
maxa=max(maxa,maxn[x][0]);
if(maxa!=maxn[y][0])
{
maxa2=min(maxa,maxn[y][0]);
}
else
{
maxa2=max(maxn2[x][0],maxa2);
}
maxa=max(maxa,maxn[y][0]);
if(alternative==maxa)
{
return maxa2;
}
return maxa;
}
int main()
{
int minnn;
init();
kruskal();
build();
minnn=999999999;
for(int i=0;i<edge.size();i++)
{
if(used[i]==0)
{
minnn=min(minnn,ans+edge[i].z-LCA(edge[i].x,edge[i].y,edge[i].z));//
}
}
cout<<minnn;
return 0;
}