///NotIsora
///This is my last dance
#include<bits/stdc++.h>
#define modulo 1000000007
#define fi first
#define se second
#define sq(x) (x)*(x)
#define ll long long
#define ld long double
#define el '\n'
#define pb push_back
///#define int long long
using namespace std;
const int N=1e5+5;
const ll INF=1e15+5;
int n,m;
int S,T,U,V;
vector<pair<int,int>>adj[N];
ll d[4][N];
ll ans=INF;
bool vis[N];
ll dp[N];
void dijkstra(int start,int t){
priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>>pq;
d[t][start]=0;
pq.push({0,start});
while(!pq.empty()){
int s=pq.top().se;
ll dis=pq.top().fi;
pq.pop();
if (dis>d[t][s]) continue;
for(pair<int,int>&pr:adj[s]){
int u=pr.fi;
int w=pr.se;
if (d[t][u]>dis+(ll)w){
d[t][u]=dis+(ll)w;
pq.push({d[t][u],u});
}
}
}
}
void dfs(int node,int type){
vis[node]=1;
dp[node]=d[2][node];
for(pair<int,int>&pr:adj[node]){
int u=pr.fi;
int w=pr.se;
if (d[type][node]==d[type][u]+(ll)w){
if (!vis[u]) dfs(u,type);
dp[node]=min(dp[node],dp[u]);
}
}
ans=min(ans,dp[node]+d[3][node]);
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
//freopen("BUS.INP","r",stdin);
//freopen("BUS.OUT","w",stdout);
cin>>n>>m;
cin>>S>>T>>U>>V;
for(int i=1;i<=m;i++){
int a,b,w;
cin>>a>>b>>w;
adj[a].pb({b,w});
adj[b].pb({a,w});
}
for(int i=1;i<=n;i++){
for(int j=0;j<4;j++){
d[j][i]=INF;
}
}
dijkstra(S,0);
dijkstra(T,1);
dijkstra(U,2);
dijkstra(V,3);
ans=d[2][V];
for(int i=1;i<=n;i++){
dp[i]=INF;
vis[i]=0;
}
dfs(S,1);
for(int i=1;i<=n;i++){
dp[i]=INF;
vis[i]=0;
}
dfs(T,0);
cout<<ans;
}
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