#include <bits/stdc++.h>
#define name "cownav"
#define fi(i,a,b) for(int i = a; i <= b; i++)
#define fid(i,a,b) for(int i = a; i >= b; i--)
#define ll long long
#define int long long
#define f first
#define se second
#define pii pair<ll, int>
#define getbit(i, j) ((i >> j) & 1)
#define pb push_back
#define all(v) v.begin(), v.end()
#define maxn 200005
const int M = 1e9 + 7;
using namespace std;
int n, m, S, T, U, V;
vector <pii> g[maxn];
vector <vector<ll>> dp(5, vector<ll>(maxn, 1e18));
void dij(int x, vector <ll> &L){
L[x] = 0;
priority_queue <pii> q;
q.push({0, x});
while(q.size()){
ll h = -q.top().f;
int u = q.top().se; q.pop();
if(h != L[u]) continue;
for(auto e: g[u]){
int v = e.f, w = e.se;
if(L[v] > L[u] + w){
L[v] = L[u] + w;
q.push({-L[v], v});
}
}
}
}
ll L[303][303];
bool check(int u, int v){
if(L[u][S] + L[u][v] + L[v][T] == L[S][T]) return 1;
if(L[v][S] + L[u][v] + L[u][T] == L[S][T]) return 1;
return 0;
}
void sub3(){
fi(i, 1, n)
fi(j, 1, n) L[i][j] = 1e18;
fi(i, 1, n) L[i][i] = 0;
fi(i, 1, m){
int u, v, z; cin >> u >> v >> z;
L[u][v] = L[v][u] = z;
}
fi(k, 1, n)
fi(i, 1, n)
fi(j, 1, n) L[i][j] = min(L[i][j], L[i][k] + L[k][j]);
ll res = L[U][V];
fi(i, 1, n)
fi(j, 1, n)if(check(i, j)){
res = min({res, L[U][i] + L[j][V], L[U][j] + L[i][V]});
}
cout << res;
exit(0);
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);
// freopen(name".in", "r", stdin);
/// freopen(name".out", "w", stdout);
cin >> n >> m;
cin >> S >> T >> U >> V;
if(n <= 300) sub3();
fi(i, 1, m){
int u, v, z; cin >> u >> v >> z;
g[u].pb({v, z});
g[v].pb({u, z});
}
dij(S, dp[0]); dij(T, dp[1]);
dij(U, dp[2]); dij(V, dp[3]);
ll d1 = 1e18, d2 = 1e18;
fi(i, 1, n) if(dp[0][i] + dp[1][i] == dp[0][T]){
d1 = min(d1, dp[2][i]);
d2 = min(d2, dp[3][i]);
}
cout << min(d1 + d2, dp[2][V]);
}
