#include <bits/stdc++.h>
using namespace std;
long long n,m,s,t,a,b,ans;
vector<pair<long long, long long>> v[100005];
long long len[100005][4];
pair<long long, long long> dp[100005];
void djikstra(int s, int nr)
{
for(int i=1;i<=n;i++)
len[i][nr] = 1e18;
multiset<pair<long long, long long>> mul;
mul.insert({0, s});
while(!mul.empty())
{
long long p = mul.begin()->second;
long long val = mul.begin()->first;
mul.erase(mul.begin());
if(len[p][nr] != 1e18)
continue;
len[p][nr] = val;
for(auto it : v[p])
{
if(len[it.first][nr] != 1e18)
continue;
mul.insert({val + it.second, it.first});
}
}
}
void calcDp(int p)
{
if(dp[p] != make_pair((long long)1e18, (long long)1e18))
return;
dp[p] = {len[p][1], len[p][2]};
for(auto it : v[p])
if(len[p][0] - it.second == len[it.first][0])
{
calcDp(it.first);
dp[p].first = min(dp[p].first, dp[it.first].first);
dp[p].second = min(dp[p].second, dp[it.first].second);
}
ans=min(ans, dp[p].first + dp[p].second);
}
int main()
{
cin>>n>>m>>s>>t>>a>>b;
for(int i=1;i<=m;i++)
{
int x, y, c;
cin>>x>>y>>c;
v[x].push_back({y, c});
v[y].push_back({x, c});
}
djikstra(t, 0);
djikstra(b, 1);
djikstra(a, 2);
ans = len[a][1];
for(int i=1;i<=n;i++)
dp[i] = {1e18, 1e18};
calcDp(s);
cout<<ans;
return 0;
}
