/*
#ifndef ONLINE_JUDGE
#include "AkbarKING.h"
#else
#define debug(...)
#define debugArr(...)
#define debugG(...)
#endif
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define int long long
#define $AzH_TxdmN$ ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
#pragma GCC target("sse,sse2,sse3,ssse3,popcnt,abm,mmx,tune=native")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("fast-math")
#define ep emplace_back
#define pb push_back
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define heap pii, vector<pii>, greater<pii>
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using __indexed_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using __indexed_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int sz = 3e5+9;
const int LOG = 63;
const int MOD = 1e9+7;
const int INF = 1e18;
vector<pii> v[sz];
int dp[2][sz];
int n, m;
array<int, 2> start;
array<int, 2> endd;
int run = 0;
set<int> freeEdges;
void djk(int x)
{
    ++run;
    priority_queue<pii, vector<pii>, greater<pii>> pq;
    for (int i = 0; i <= n; ++i)
    {
        dp[0][i] = INF;
        dp[1][i] = -1;
    }
    dp[0][x] = 0;
    pq.emplace(dp[0][x], x);
    while(!pq.empty())
    {
        int w = pq.top().first;
        int node = pq.top().second;
        pq.pop();
        if(w > dp[0][node]) continue;
        for (auto to : v[node])
        {
            int neighbor = to.first;
            int costEdge = to.second;
            int additional = costEdge;
            if(run == 2)
            {
                long long key = (min(node, neighbor))*(n+1) + max(node, neighbor);
                if(freeEdges.count(key) > 0)
                {
                    additional = 0;
                }
            }
            if (dp[0][neighbor] > dp[0][node] + additional)
            {
                dp[0][neighbor] = dp[0][node] + additional;
                dp[1][neighbor] = node;
                pq.emplace(dp[0][neighbor], neighbor);
            }
        }
    }
    if (run == 1)
    {
        int cur = endd[0];
        while(cur != start[0] && cur != -1)
        {
            int prev = dp[1][cur];
            if(prev == -1) break;
            int key = (min(cur, prev))*(n+1) + max(cur, prev);
            freeEdges.insert(key);
            cur = prev;
        }
    }
}
void solve()
{
    cin >> n >> m >> start[0] >> endd[0] >> start[1] >> endd[1];
    for (int i = 0, x, y, z; i < m; ++i)
    {
        cin >> x >> y >> z;
        v[x].ep(y, z);
        v[y].ep(x, z);
    }
    djk(start[0]);
    djk(start[1]);
    cout << dp[0][endd[1]] << '\n';
}
signed main()
{
    $AzH_TxdmN$
    int t = 1;
    // cin >> t;
    while (t--)
    {
        solve();
    }
}
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