#include <iostream>
#include <vector>
#include <set>
#include <tuple>
using namespace std;
using ll = long long;
const ll INF = 1e15;
int n, m, s, t, x, y;
vector<vector<pair<int, ll>>> g;
vector<ll> sssp(int start) {
vector<ll> d(n, INF);
set<pair<ll, int>> q;
d[start] = 0;
q.insert({0, start});
while (not q.empty()) {
auto [dist, u] = *q.begin();
q.erase(q.begin());
for (auto [v, w] : g[u]) {
if (d[u] + w < d[v]) {
q.erase({d[v], v});
d[v] = d[u] + w;
q.insert({d[v], v});
}
}
}
return d;
}
ll solve(vector<ll> ds, vector<ll> dt, vector<ll> to_x, vector<ll> to_y) {
ll ans = to_x[y];
vector<tuple<ll, ll, ll>> dp(n);
for (int u = 0; u < n; u++) {
auto &[dist, from_x, from_y] = dp[u];
dist = (u == s ? 0 : INF);
from_x = to_x[u];
from_y = to_y[u];
}
set<tuple<ll, ll, ll, int>> q;
q.insert({0, to_x[s], to_y[s], s});
while (not q.empty()) {
auto [dist, from_x, from_y, u] = *q.begin();
q.erase(q.begin());
if (ds[t] == ds[u] + dt[u]) ans = min(ans, min(from_x + to_y[u], from_y + to_x[u]));
for (auto [v, w] : g[u]) {
auto &[dist_v, from_x_v, from_y_v] = dp[v];
if (dist + w < dist_v) {
q.erase({dist_v, from_x_v, from_y_v, v});
dist_v = dist + w;
from_x_v = min(to_x[v], from_x);
from_y_v = min(to_y[v], from_y);
q.insert({dist_v, from_x_v, from_y_v, v});
} else if (dist + w == dist_v) {
q.erase({dist_v, from_x_v, from_y_v, v});
from_x_v = min(from_x_v, from_x);
from_y_v = min(from_y_v, from_y);
q.insert({dist_v, from_x_v, from_y_v, v});
}
}
}
return ans;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m >> s >> t >> x >> y;
s--, t--, x--, y--;
g.resize(n);
while (m--) {
int a, b;
ll w;
cin >> a >> b >> w;
a--, b--;
g[a].push_back({b, w});
g[b].push_back({a, w});
}
cout << solve(sssp(s), sssp(t), sssp(x), sssp(y)) << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
604 ms |
24972 KB |
Output is correct |
2 |
Correct |
492 ms |
23516 KB |
Output is correct |
3 |
Correct |
486 ms |
23372 KB |
Output is correct |
4 |
Correct |
664 ms |
25052 KB |
Output is correct |
5 |
Correct |
461 ms |
23636 KB |
Output is correct |
6 |
Correct |
570 ms |
25016 KB |
Output is correct |
7 |
Correct |
551 ms |
23540 KB |
Output is correct |
8 |
Correct |
480 ms |
23844 KB |
Output is correct |
9 |
Correct |
512 ms |
23888 KB |
Output is correct |
10 |
Correct |
404 ms |
24096 KB |
Output is correct |
11 |
Correct |
141 ms |
15428 KB |
Output is correct |
12 |
Correct |
585 ms |
23584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
535 ms |
24320 KB |
Output is correct |
2 |
Correct |
593 ms |
23408 KB |
Output is correct |
3 |
Correct |
642 ms |
23460 KB |
Output is correct |
4 |
Correct |
579 ms |
23464 KB |
Output is correct |
5 |
Correct |
570 ms |
23344 KB |
Output is correct |
6 |
Correct |
545 ms |
23412 KB |
Output is correct |
7 |
Correct |
520 ms |
23464 KB |
Output is correct |
8 |
Correct |
625 ms |
23572 KB |
Output is correct |
9 |
Correct |
632 ms |
23384 KB |
Output is correct |
10 |
Correct |
635 ms |
23432 KB |
Output is correct |
11 |
Correct |
172 ms |
15436 KB |
Output is correct |
12 |
Correct |
524 ms |
23580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
2060 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
20 ms |
3796 KB |
Output is correct |
5 |
Correct |
13 ms |
2004 KB |
Output is correct |
6 |
Correct |
3 ms |
340 KB |
Output is correct |
7 |
Correct |
3 ms |
468 KB |
Output is correct |
8 |
Correct |
5 ms |
468 KB |
Output is correct |
9 |
Correct |
2 ms |
340 KB |
Output is correct |
10 |
Correct |
12 ms |
2040 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
440 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
604 ms |
24972 KB |
Output is correct |
2 |
Correct |
492 ms |
23516 KB |
Output is correct |
3 |
Correct |
486 ms |
23372 KB |
Output is correct |
4 |
Correct |
664 ms |
25052 KB |
Output is correct |
5 |
Correct |
461 ms |
23636 KB |
Output is correct |
6 |
Correct |
570 ms |
25016 KB |
Output is correct |
7 |
Correct |
551 ms |
23540 KB |
Output is correct |
8 |
Correct |
480 ms |
23844 KB |
Output is correct |
9 |
Correct |
512 ms |
23888 KB |
Output is correct |
10 |
Correct |
404 ms |
24096 KB |
Output is correct |
11 |
Correct |
141 ms |
15428 KB |
Output is correct |
12 |
Correct |
585 ms |
23584 KB |
Output is correct |
13 |
Correct |
535 ms |
24320 KB |
Output is correct |
14 |
Correct |
593 ms |
23408 KB |
Output is correct |
15 |
Correct |
642 ms |
23460 KB |
Output is correct |
16 |
Correct |
579 ms |
23464 KB |
Output is correct |
17 |
Correct |
570 ms |
23344 KB |
Output is correct |
18 |
Correct |
545 ms |
23412 KB |
Output is correct |
19 |
Correct |
520 ms |
23464 KB |
Output is correct |
20 |
Correct |
625 ms |
23572 KB |
Output is correct |
21 |
Correct |
632 ms |
23384 KB |
Output is correct |
22 |
Correct |
635 ms |
23432 KB |
Output is correct |
23 |
Correct |
172 ms |
15436 KB |
Output is correct |
24 |
Correct |
524 ms |
23580 KB |
Output is correct |
25 |
Correct |
10 ms |
2060 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
20 ms |
3796 KB |
Output is correct |
29 |
Correct |
13 ms |
2004 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
5 ms |
468 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
12 ms |
2040 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
332 KB |
Output is correct |
38 |
Correct |
2 ms |
440 KB |
Output is correct |
39 |
Correct |
2 ms |
340 KB |
Output is correct |
40 |
Correct |
660 ms |
28032 KB |
Output is correct |
41 |
Correct |
608 ms |
24220 KB |
Output is correct |
42 |
Correct |
598 ms |
24024 KB |
Output is correct |
43 |
Correct |
153 ms |
15436 KB |
Output is correct |
44 |
Correct |
151 ms |
15428 KB |
Output is correct |
45 |
Correct |
536 ms |
23516 KB |
Output is correct |
46 |
Correct |
459 ms |
23352 KB |
Output is correct |
47 |
Correct |
661 ms |
24940 KB |
Output is correct |
48 |
Correct |
169 ms |
14944 KB |
Output is correct |
49 |
Correct |
533 ms |
28004 KB |
Output is correct |
50 |
Correct |
491 ms |
23472 KB |
Output is correct |
51 |
Correct |
444 ms |
23428 KB |
Output is correct |