#include<bits/stdc++.h>
using namespace std;
struct eg{
int v,w;
};
struct no{
long long d;
int u;
bool operator >(const no & o) const {
return d>o.d;
}
};
const int maxn=1e5+10;
int n,m;
vector<eg> e[maxn];
vector<eg> e2[maxn];
bool vis[maxn];
long long d[maxn];
void dk(int s, vector<eg> e[]){
memset(vis,false,sizeof(vis));
memset(d,0x3f,sizeof(d));
priority_queue<no,vector<no>,greater<no>> q;
d[s]=0;
q.push({0,s});
while(!q.empty()){
int u=q.top().u;q.pop();
if(vis[u]) continue;
vis[u]=true;
for(auto f:e[u]){
int v=f.v,w=f.w;
if(d[v]>d[u]+w){
d[v]=d[u]+w;
q.push({d[v],v});
}
}
}
}
int main(){
cin>>n>>m;
for(int i=1;i<=m;i++){
int u,v,w;
cin>>u>>v>>w;
e[u].push_back({v,w});
e2[v].push_back({u,w});
}
dk(1,e);
long long sum=0;
for(int i=1;i<=n;i++){
sum+=d[i];
}
dk(1,e2);
for(int i=1;i<=n;i++){
sum+=d[i];
}
cout<<sum;
return 0;
}
/*Compiling single file...
--------
- Filename: D:\fsjkfesbwug.cpp
- Compiler Name: TDM-GCC 4.9.2 64-bit Release
Processing C++ source file...
--------
- C++ Compiler: C:\Program Files (x86)\Dev-Cpp\MinGW64\bin\g++.exe
- Command: g++.exe "D:\fsjkfesbwug.cpp" -o "D:\fsjkfesbwug.exe" -std=c++11 -I"C:\Program Files (x86)\Dev-Cpp\MinGW64\include" -I"C:\Program Files (x86)\Dev-Cpp\MinGW64\x86_64-w64-mingw32\include" -I"C:\Program Files (x86)\Dev-Cpp\MinGW64\lib\gcc\x86_64-w64-mingw32\4.9.2\include" -I"C:\Program Files (x86)\Dev-Cpp\MinGW64\lib\gcc\x86_64-w64-mingw32\4.9.2\include\c++" -L"C:\Program Files (x86)\Dev-Cpp\MinGW64\lib" -L"C:\Program Files (x86)\Dev-Cpp\MinGW64\x86_64-w64-mingw32\lib" -static-libgcc
Compilation results...
--------
- Errors: 0
- Warnings: 0
- Output Filename: D:\fsjkfesbwug.exe
- Output Size: 1.83952903747559 MiB
- Compilation Time: 1.02s*/