#include <algorithm>
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#ifdef DEBUG
#include <time.h>
#endif
#define all(a) (a).begin(), (a).end()
#define rev(a) (a).rbegin(), (a).rend()
#define F first
#define S second
int recur_depth = 0;
#ifdef DEBUG
#define dbg(x) \
{ \
++recur_depth; \
auto x_ = x; \
--recur_depth; \
cerr << string(recur_depth, '\t') << "\e[91m" << __func__ << ":" \
<< __LINE__ << "\t" << #x << " = " << x_ << "\e[39m" << endl; \
}
#else
#define dbg(x)
#endif
using namespace std;
using namespace __gnu_pbds;
typedef pair<int, int> ii;
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> llll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pair<int, int>> vii;
typedef vector<vii> vvii;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<pair<ll, ll>> vll;
typedef vector<vll> vvll;
typedef vector<bool> vb;
template <class type1>
using ordered_set = tree<type1, null_type, less<type1>, rb_tree_tag,
tree_order_statistics_node_update>;
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p) {
return os << '(' << p.first << ", " << p.second << ')';
}
template <typename T_container, typename T = typename enable_if<
!is_same<T_container, string>::value,
typename T_container::value_type>::type>
ostream &operator<<(ostream &os, const T_container &v) {
os << '{';
string sep;
for (const T &x : v)
os << sep << x, sep = ", ";
return os << '}';
}
const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
const ll INF = 1e18;
const ld EPS = 1e-9;
void solve() {
int n, m;
cin >> n >> m;
int s, t, u, v;
cin >> s >> t >> u >> v;
s--, t--, u--, v--;
vvll adj(n);
for (int i = 0; i < m; i++) {
ll a, b, c;
cin >> a >> b >> c;
a--, b--;
adj[a].push_back({b, c});
adj[b].push_back({a, c});
}
vl s_dist(n, INF), t_dist(n, INF), u_dist(n, INF), v_dist(n, INF);
auto f = [&](int st, vl &dist) -> vl {
vl order;
dist[st] = 0;
priority_queue<llll, vll, greater<llll>> pq;
pq.push({0, st});
while (!pq.empty()) {
auto [du, u] = pq.top();
pq.pop();
order.push_back(u);
for (auto [v, w] : adj[u])
if (dist[v] > du + w) {
dist[v] = du + w;
pq.push({dist[v], v});
}
}
return order;
};
f(u, u_dist), f(v, v_dist), f(t, t_dist);
vl order = f(s, s_dist);
reverse(all(order));
ll ans = u_dist[v];
for (int x : order) {
ans = min(ans, u_dist[x] + v_dist[x]);
for (auto [y, w] : adj[x])
if (s_dist[x] + w + t_dist[y] == s_dist[t])
ans = min({ans, u_dist[x] + v_dist[y], u_dist[y] + v_dist[x]});
for (auto [y, w] : adj[x])
if (s_dist[x] + w + t_dist[y] == s_dist[t])
u_dist[x] = min(u_dist[y], u_dist[x]),
v_dist[x] = min(v_dist[y], v_dist[x]);
}
cout << ans << "\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
clock_t start = clock();
int test_cases = 1;
// cin >> test_cases;
while (test_cases--)
solve();
#ifdef DEBUG
cerr << fixed << setprecision(10)
<< "\nTime Taken: " << (double)(clock() - start) / CLOCKS_PER_SEC
<< "s\n";
#endif
return 0;
}
