This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define endl "\n"
#define INF 1000000000
#define LINF 1000000000000000LL
#define pb push_back
#define all(x) x.begin(), x.end()
#define len(s) (int)s.size()
#define test_case { int t; cin>>t; while(t--)solve(); }
#define single_case solve();
#define line cerr<<"----------"<<endl;
#define ios { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cerr.tie(NULL); }
#define mod 1000000007LL
int n, m, s, t, u, v;
const int N = 1e5 + 50;
vector<pair<int, ll> > g[N];
vector<int> dag[N];
ll dpu[N], dpv[N];
ll diss[N], disv[N], dist[N], disu[N];
int vidjen[N];
void dijkstra(int src, ll dis[])
{
for(int i = 0;i<N;i++) dis[i] = LINF, vidjen[i] = 0;
dis[src] = 0;
priority_queue<pair<ll, ll>, vector<pair<ll, ll> >, greater<pair<ll, ll> > > pq;
pq.push(make_pair(0, src));
while(len(pq))
{
int u = pq.top().second;
pq.pop();
if(vidjen[u]) continue;
vidjen[u] = 1;
for(auto x : g[u])
{
if(dis[x.first]>dis[u]+x.second)
{
dis[x.first] = dis[u] + x.second;
pq.push(make_pair(dis[x.first], x.first));
}
}
}
}
ll dfs(int u, ll d[], ll dp[])
{
dp[u] = d[u];
vidjen[u] = 1;
for(auto x : dag[u])
{
if(vidjen[x])
{
dp[u] = min(dp[u], dp[x]);
continue;
}
dp[u] = min(dp[u], dfs(x, d, dp));
}
return dp[u];
}
int main()
{
ios
for(int i = 0;i<N;i++) dpu[i] = dpv[i] = LINF;
cin>>n>>m>>s>>t>>u>>v;
for(int i = 0;i<m;i++)
{
int a, b, c;
cin>>a>>b>>c;
g[a].pb(make_pair(b, c));
g[b].pb(make_pair(a, c));
}
dijkstra(s, diss);
dijkstra(t, dist);
dijkstra(u, disu);
dijkstra(v, disv);
ll res = disu[v];
for(int i = 1;i<=n;i++)
{
for(auto x : g[i])
{
if(diss[i]+x.second+dist[x.first]==diss[t])
{
dag[i].pb(x.first);
}
}
}
for(int i = 1;i<=n;i++) vidjen[i] = 0;
dfs(s, disu, dpu);
for(int i = 1;i<=n;i++)
{
res = min(res, dpu[i]+disv[i]);
}
for(int i = 1;i<=n;i++) vidjen[i] = 0;
dfs(s, disv, dpv);
for(int i = 1;i<=n;i++)
{
res = min(res, dpv[i]+disu[i]);
}
cout<<res;
return 0;
}
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