#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ld,ld> pdd;
#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for (auto& a : x)
#define sz(a) (int)(a).size()
#define pb push_back
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
const int mod = 1000000007;
const ll inf = 1e18 + 5;
const int mxN = 200005;
int n, m;
int S, T;
int A, B;
vector<pii> g[mxN];
ll dist_S[mxN];
ll dist_T[mxN];
ll dist_A[mxN];
ll dist_B[mxN];
void dij(int s, ll dist[]){
ff(i,1,n)dist[i] = inf;
priority_queue<pll, vector<pll>, greater<pll>> pq;
pq.push({dist[s] = 0, s});
while(sz(pq)){
pll v = pq.top(); pq.pop();
if(dist[v.se] < v.fi)continue;
for(auto c : g[v.se]){
int u = c.fi;
int w = c.se;
if(dist[u] > v.fi + w){
pq.push({dist[u] = v.fi + w, u});
}
}
}
}
ll rez = inf;
ll dp[mxN];
bool visited[mxN];
void dfs_S(int v){
visited[v] = 1; dp[v] = dist_B[v];
for(auto c : g[v]){
int u = c.fi;
int w = c.se;
if(dist_T[v] == w + dist_T[u]){
if(!visited[u])dfs_S(u);
dp[v] = min(dp[v], dp[u]);
}
}
rez = min(rez, dist_A[v] + dp[v]);
}
void dfs_T(int v){
visited[v] = 1; dp[v] = dist_B[v];
for(auto c : g[v]){
int u = c.fi;
int w = c.se;
if(dist_S[v] == w + dist_S[u]){
if(!visited[u])dfs_T(u);
dp[v] = min(dp[v], dp[u]);
}
}
rez = min(rez, dist_A[v] + dp[v]);
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m >> S >> T >> A >> B;
ff(i,1,m){
int u, v, w;
cin >> u >> v >> w;
g[u].pb({v, w});
g[v].pb({u, w});
}
dij(S, dist_S);
dij(T, dist_T);
dij(A, dist_A);
dij(B, dist_B);
rez = dist_A[B];
dfs_S(S);
ff(i,1,n)visited[i] = 0;
dfs_T(T);
cout << rez << '\n';
return 0;
}
/*
6 6
1 6
1 4
1 2 1
2 3 1
3 5 1
2 4 3
4 5 2
5 6 1
6 5
1 2
3 6
1 2 1000000000
2 3 1000000000
3 4 1000000000
4 5 1000000000
5 6 1000000000
8 8
5 7
6 8
1 2 2
2 3 3
3 4 4
1 4 1
1 5 5
2 6 6
3 7 7
4 8 8
5 5
1 5
2 3
1 2 1
2 3 10
2 4 10
3 5 10
4 5 10
10 15
6 8
7 9
2 7 12
8 10 17
1 3 1
3 8 14
5 7 15
2 3 7
1 10 14
3 6 12
1 5 10
8 9 1
2 9 7
1 4 1
1 8 1
2 4 7
5 6 16
// probati bojenje sahovski
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
305 ms |
18016 KB |
Output is correct |
2 |
Correct |
253 ms |
16696 KB |
Output is correct |
3 |
Correct |
288 ms |
24856 KB |
Output is correct |
4 |
Correct |
263 ms |
21228 KB |
Output is correct |
5 |
Correct |
259 ms |
19624 KB |
Output is correct |
6 |
Correct |
253 ms |
21488 KB |
Output is correct |
7 |
Correct |
334 ms |
19604 KB |
Output is correct |
8 |
Correct |
258 ms |
19612 KB |
Output is correct |
9 |
Correct |
260 ms |
20596 KB |
Output is correct |
10 |
Correct |
224 ms |
20476 KB |
Output is correct |
11 |
Correct |
107 ms |
16820 KB |
Output is correct |
12 |
Correct |
276 ms |
20428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
323 ms |
17532 KB |
Output is correct |
2 |
Correct |
272 ms |
17968 KB |
Output is correct |
3 |
Correct |
255 ms |
17416 KB |
Output is correct |
4 |
Correct |
286 ms |
17660 KB |
Output is correct |
5 |
Correct |
295 ms |
18192 KB |
Output is correct |
6 |
Correct |
258 ms |
19428 KB |
Output is correct |
7 |
Correct |
321 ms |
19924 KB |
Output is correct |
8 |
Correct |
275 ms |
17796 KB |
Output is correct |
9 |
Correct |
334 ms |
18128 KB |
Output is correct |
10 |
Correct |
286 ms |
17572 KB |
Output is correct |
11 |
Correct |
105 ms |
16460 KB |
Output is correct |
12 |
Correct |
274 ms |
19804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
6100 KB |
Output is correct |
2 |
Correct |
3 ms |
5044 KB |
Output is correct |
3 |
Correct |
3 ms |
5032 KB |
Output is correct |
4 |
Correct |
15 ms |
7108 KB |
Output is correct |
5 |
Correct |
10 ms |
6052 KB |
Output is correct |
6 |
Correct |
4 ms |
5048 KB |
Output is correct |
7 |
Correct |
4 ms |
5172 KB |
Output is correct |
8 |
Correct |
4 ms |
5168 KB |
Output is correct |
9 |
Correct |
4 ms |
5076 KB |
Output is correct |
10 |
Correct |
9 ms |
6108 KB |
Output is correct |
11 |
Correct |
3 ms |
5076 KB |
Output is correct |
12 |
Correct |
3 ms |
5080 KB |
Output is correct |
13 |
Correct |
4 ms |
5028 KB |
Output is correct |
14 |
Correct |
3 ms |
5060 KB |
Output is correct |
15 |
Correct |
3 ms |
5076 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
305 ms |
18016 KB |
Output is correct |
2 |
Correct |
253 ms |
16696 KB |
Output is correct |
3 |
Correct |
288 ms |
24856 KB |
Output is correct |
4 |
Correct |
263 ms |
21228 KB |
Output is correct |
5 |
Correct |
259 ms |
19624 KB |
Output is correct |
6 |
Correct |
253 ms |
21488 KB |
Output is correct |
7 |
Correct |
334 ms |
19604 KB |
Output is correct |
8 |
Correct |
258 ms |
19612 KB |
Output is correct |
9 |
Correct |
260 ms |
20596 KB |
Output is correct |
10 |
Correct |
224 ms |
20476 KB |
Output is correct |
11 |
Correct |
107 ms |
16820 KB |
Output is correct |
12 |
Correct |
276 ms |
20428 KB |
Output is correct |
13 |
Correct |
323 ms |
17532 KB |
Output is correct |
14 |
Correct |
272 ms |
17968 KB |
Output is correct |
15 |
Correct |
255 ms |
17416 KB |
Output is correct |
16 |
Correct |
286 ms |
17660 KB |
Output is correct |
17 |
Correct |
295 ms |
18192 KB |
Output is correct |
18 |
Correct |
258 ms |
19428 KB |
Output is correct |
19 |
Correct |
321 ms |
19924 KB |
Output is correct |
20 |
Correct |
275 ms |
17796 KB |
Output is correct |
21 |
Correct |
334 ms |
18128 KB |
Output is correct |
22 |
Correct |
286 ms |
17572 KB |
Output is correct |
23 |
Correct |
105 ms |
16460 KB |
Output is correct |
24 |
Correct |
274 ms |
19804 KB |
Output is correct |
25 |
Correct |
10 ms |
6100 KB |
Output is correct |
26 |
Correct |
3 ms |
5044 KB |
Output is correct |
27 |
Correct |
3 ms |
5032 KB |
Output is correct |
28 |
Correct |
15 ms |
7108 KB |
Output is correct |
29 |
Correct |
10 ms |
6052 KB |
Output is correct |
30 |
Correct |
4 ms |
5048 KB |
Output is correct |
31 |
Correct |
4 ms |
5172 KB |
Output is correct |
32 |
Correct |
4 ms |
5168 KB |
Output is correct |
33 |
Correct |
4 ms |
5076 KB |
Output is correct |
34 |
Correct |
9 ms |
6108 KB |
Output is correct |
35 |
Correct |
3 ms |
5076 KB |
Output is correct |
36 |
Correct |
3 ms |
5080 KB |
Output is correct |
37 |
Correct |
4 ms |
5028 KB |
Output is correct |
38 |
Correct |
3 ms |
5060 KB |
Output is correct |
39 |
Correct |
3 ms |
5076 KB |
Output is correct |
40 |
Correct |
238 ms |
21800 KB |
Output is correct |
41 |
Correct |
289 ms |
20428 KB |
Output is correct |
42 |
Correct |
269 ms |
20516 KB |
Output is correct |
43 |
Correct |
157 ms |
17320 KB |
Output is correct |
44 |
Correct |
207 ms |
17396 KB |
Output is correct |
45 |
Correct |
284 ms |
19688 KB |
Output is correct |
46 |
Correct |
256 ms |
19104 KB |
Output is correct |
47 |
Correct |
238 ms |
21216 KB |
Output is correct |
48 |
Correct |
123 ms |
14768 KB |
Output is correct |
49 |
Correct |
256 ms |
21468 KB |
Output is correct |
50 |
Correct |
245 ms |
19540 KB |
Output is correct |
51 |
Correct |
238 ms |
19248 KB |
Output is correct |