#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pl;
ll N, M, X, Y, S, T, U, V, C, mini = 1e18;
ll distS[100005], distT[100005], distU[100005], distV[100005], dp[100005];
int visit[100005];
vector<pl> AdjList[100005];
vector<int> dpList[100005];
void dijkstra(int x, ll d[]){
priority_queue<pl,vector<pl>,greater<pl> > pq;
for (int i = 1; i <= N; ++i) d[i] = 1e16;
d[x] = 0;
pq.push(pl(0,x));
while (!pq.empty()){
pl t = pq.top();
pq.pop();
ll dt = t.first, v = t.second;
if (d[v] != dt) continue;
for (auto it : AdjList[v]){
if (d[it.first] > d[v] + it.second){
d[it.first] = d[v] + it.second;
pq.push(pl(d[it.first],it.first));
}
}
}
}
void dfs(int x){
visit[x] = 1;
for (auto it : dpList[x]){
if (!visit[it]) dfs(it);
dp[x] = min(dp[x],dp[it]);
}
}
void runDP(ll d1[], ll d2[]){
for (int i = 1; i <= N; ++i){
dp[i] = d2[i];
visit[i] = 0;
}
for (int i = 1; i <= N; ++i){
if (!visit[i]) dfs(i);
}
for (int i = 1; i <= N; ++i){
mini = min(mini,dp[i] + d1[i]);
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> N >> M;
cin >> S >> T;
cin >> U >> V;
for (int i = 1; i <= M; ++i){
cin >> X >> Y >> C;
AdjList[X].push_back(pl(Y,C));
AdjList[Y].push_back(pl(X,C));
}
dijkstra(S,distS); dijkstra(T,distT); dijkstra(U,distU); dijkstra(V,distV);
for (int i = 1; i <= N; ++i){
for (auto it : AdjList[i]){
if (distS[i] + it.second + distT[it.first] == distS[T]){
dpList[i].push_back(it.first);
}
}
}
runDP(distU,distV);
runDP(distV,distU);
cout << mini << '\n';
}
