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>
#include <ext/pb_ds/assoc_container.hpp>
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("Ofast,unroll-loops")
using namespace std;
using namespace __gnu_pbds;
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define f first
#define s second
#define int long long
#define ll long long
#define pii pair<int,int>
#define ar array
template<class T>bool umax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T>bool umin(T &a,T b){if(b<a){a=b;return true;}return false;}
typedef tree<int, null_type, less_equal<int>, rb_tree_tag,
tree_order_statistics_node_update> ordered_set;
const int inf = 1e17 + 7;
const int mod = 1e9 + 7;
const int N = 3e5 + 5;
const int md = 998244353;
int binpow(int a, int b){
if(b == 0)return 1;
if(b % 2 == 0){
int c = binpow(a,b/2);
return (c*c)%mod;
}
return (binpow(a,b-1)*a)%mod;
}
int divi(int a, int b){
return (a*(binpow(b,mod-2)))%mod;
}
int n,m,k;
vector<pii>g[N];
vector<int>ds(N, inf);
bool visited[N];
int ans = inf;
int du[N], dv[N];
int dp[2][N];
void des(int y, int arr[]){
for(int i = 1;i<=n;i++)arr[i] = inf;
arr[y] = 0;
priority_queue<pii, vector<pii>, greater<pii>>q;
q.push({0, y});
while(!q.empty()){
auto [cost, x] = q.top();
q.pop();
if(arr[x] < cost)continue;
for(auto [to,t] : g[x]){
if(umin(arr[to], cost + t)){
q.push({arr[to], to});
}
}
}
}
void des2(int start, int end){
fill(dp[0], dp[0] + 100001, LLONG_MAX / 2);
fill(dp[1], dp[1] + 100001, LLONG_MAX / 2);
fill(visited, visited + 100001, false);
priority_queue<pair<ll, pair<ll, ll>>> pq;
pq.push({0, {start, 0}});
dp[0][0] = dp[1][0] = LLONG_MAX / 2;
while (!pq.empty()) {
ll c, node, par;
pair<ll, ll> p;
tie(c, p) = pq.top();
tie(node, par) = p;
pq.pop();
if (!visited[node]) {
visited[node] = true;
ds[node] = -c;
dp[0][node] = min(du[node], dp[0][par]);
dp[1][node] = min(dv[node], dp[1][par]);
for (auto i : g[node]) pq.push({c - i.second, {i.first, node}});
} else if (-c == ds[node]) {
if (min(du[node], dp[0][par]) + min(dv[node], dp[1][par]) <=
dp[0][node] + dp[1][node]) {
dp[0][node] = min(du[node], dp[0][par]);
dp[1][node] = min(dv[node], dp[1][par]);
}
}
}
ans = min(ans, dp[0][end] + dp[1][end]);
}
void solve(){
cin >> n >> m;
int a,b,c,d;
cin >> a >> b >> c >> d;
while(m--){
int l,r,x;
cin >> l >> r >> x;
g[l].pb({r,x});
g[r].pb({l,x});
}
des(c, du);
des(d, dv);
ans = du[d];
des2(a, b);
des2(b, a);
//~ for(int i = 1;i<=n;i++)cout << du[i] << " ";
cout << ans << "\n";
}
/*
*/
signed main()
{
// freopen("seq.in", "r", stdin);
// freopen("seq.out", "w", stdout);
ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
int tt=1;//cin>>tt;
while(tt--)solve();
}
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