// QuangBuiCP
// 375.cpp
#include "bits/stdc++.h"
using namespace std;
#ifdef LOCAL
#include "local/debug.hpp"
#else
#define debug(...)
#endif // LOCAL
#define SZ(a) (int)(a).size()
#define ALL(a) (a).begin(),(a).end()
#define int long long
struct State {
int x;
int dist;
bool operator < (const State& other) const {
return dist > other.dist;
}
};
vector<int> run_dijkstra(int n, const vector<vector<pair<int, int>>>& g, int start) {
vector<int> dist(n, LLONG_MAX / 2);
priority_queue<State> pq;
pq.push({start, 0});
dist[start] = 0;
while (SZ(pq)) {
State top = pq.top(); pq.pop();
int u = top.x;
int cur = top.dist;
if (dist[u] != cur) {
continue;
}
for (auto& p : g[u]) {
int v = p.first;
int w = p.second;
if (cur + w < dist[v]) {
dist[v] = cur + w;
pq.push({v, dist[v]});
}
}
}
return dist;
}
signed main() {
#ifndef LOCAL
cin.tie(nullptr)->sync_with_stdio(false);
#endif // LOCAL
int n, m;
cin >> n >> m;
int S, T, X, Y;
cin >> S >> T >> X >> Y; S--, T--, X--, Y--;
vector<vector<pair<int, int>>> g(n);
for (int i = 0; i < m; ++i) {
int x, y, w;
cin >> x >> y >> w; x--, y--;
g[x].emplace_back(y, w);
g[y].emplace_back(x, w);
}
vector<int> dS = run_dijkstra(n, g, S);
vector<int> dT = run_dijkstra(n, g, T);
vector<int> dX = run_dijkstra(n, g, X);
vector<int> dY = run_dijkstra(n, g, Y);
long long min_dist = dS[T];
auto Calc = [&](const vector<int>& s, const vector<int>& t, const vector<int>& d, int start) {
vector<int> topo;
vector<bool> vis(n, false);
function<void(int)> dfs = [&](int u) {
vis[u] = true;
for (auto& p : g[u]) {
int v = p.first;
int w = p.second;
if (s[u] + w == min_dist - t[v] && !vis[v]) {
dfs(v);
}
}
topo.push_back(u);
};
dfs(start);
reverse(ALL(topo));
vector<int> dp(n, LLONG_MAX / 2);
for (int u : topo) {
dp[u] = min(dp[u], d[u]);
for (auto& p : g[u]) {
int v = p.first;
int w = p.second;
if (s[u] + w == min_dist - t[v]) {
dp[v] = min(dp[v], dp[u]);
}
}
}
return dp;
};
vector<int> sx = Calc(dS, dT, dX, S);
vector<int> sy = Calc(dS, dT, dY, S);
vector<int> tx = Calc(dT, dS, dX, T);
vector<int> ty = Calc(dT, dS, dY, T);
int ans = dX[Y];
for (int i = 0; i < n; ++i) {
ans = min(ans, min(sx[i] + ty[i], sy[i] + tx[i]));
}
cout << ans << '\n';
#ifdef LOCAL
cout << '\n' << clock() << "ms.";
#endif // LOCAL
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
191 ms |
19296 KB |
Output is correct |
2 |
Correct |
288 ms |
19952 KB |
Output is correct |
3 |
Correct |
311 ms |
25184 KB |
Output is correct |
4 |
Correct |
171 ms |
19364 KB |
Output is correct |
5 |
Correct |
221 ms |
20336 KB |
Output is correct |
6 |
Correct |
194 ms |
19360 KB |
Output is correct |
7 |
Correct |
274 ms |
20564 KB |
Output is correct |
8 |
Correct |
258 ms |
20736 KB |
Output is correct |
9 |
Correct |
174 ms |
19288 KB |
Output is correct |
10 |
Correct |
132 ms |
19344 KB |
Output is correct |
11 |
Correct |
94 ms |
18464 KB |
Output is correct |
12 |
Correct |
182 ms |
19224 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
246 ms |
21992 KB |
Output is correct |
2 |
Correct |
217 ms |
22516 KB |
Output is correct |
3 |
Correct |
239 ms |
22008 KB |
Output is correct |
4 |
Correct |
214 ms |
22252 KB |
Output is correct |
5 |
Correct |
271 ms |
23464 KB |
Output is correct |
6 |
Correct |
284 ms |
24972 KB |
Output is correct |
7 |
Correct |
279 ms |
25296 KB |
Output is correct |
8 |
Correct |
260 ms |
22240 KB |
Output is correct |
9 |
Correct |
295 ms |
23000 KB |
Output is correct |
10 |
Correct |
235 ms |
22028 KB |
Output is correct |
11 |
Correct |
101 ms |
20036 KB |
Output is correct |
12 |
Correct |
249 ms |
25244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
1628 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
10 ms |
3176 KB |
Output is correct |
5 |
Correct |
8 ms |
2136 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
5 ms |
1624 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
191 ms |
19296 KB |
Output is correct |
2 |
Correct |
288 ms |
19952 KB |
Output is correct |
3 |
Correct |
311 ms |
25184 KB |
Output is correct |
4 |
Correct |
171 ms |
19364 KB |
Output is correct |
5 |
Correct |
221 ms |
20336 KB |
Output is correct |
6 |
Correct |
194 ms |
19360 KB |
Output is correct |
7 |
Correct |
274 ms |
20564 KB |
Output is correct |
8 |
Correct |
258 ms |
20736 KB |
Output is correct |
9 |
Correct |
174 ms |
19288 KB |
Output is correct |
10 |
Correct |
132 ms |
19344 KB |
Output is correct |
11 |
Correct |
94 ms |
18464 KB |
Output is correct |
12 |
Correct |
182 ms |
19224 KB |
Output is correct |
13 |
Correct |
246 ms |
21992 KB |
Output is correct |
14 |
Correct |
217 ms |
22516 KB |
Output is correct |
15 |
Correct |
239 ms |
22008 KB |
Output is correct |
16 |
Correct |
214 ms |
22252 KB |
Output is correct |
17 |
Correct |
271 ms |
23464 KB |
Output is correct |
18 |
Correct |
284 ms |
24972 KB |
Output is correct |
19 |
Correct |
279 ms |
25296 KB |
Output is correct |
20 |
Correct |
260 ms |
22240 KB |
Output is correct |
21 |
Correct |
295 ms |
23000 KB |
Output is correct |
22 |
Correct |
235 ms |
22028 KB |
Output is correct |
23 |
Correct |
101 ms |
20036 KB |
Output is correct |
24 |
Correct |
249 ms |
25244 KB |
Output is correct |
25 |
Correct |
6 ms |
1628 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
10 ms |
3176 KB |
Output is correct |
29 |
Correct |
8 ms |
2136 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
5 ms |
1624 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
185 ms |
18912 KB |
Output is correct |
41 |
Correct |
190 ms |
19432 KB |
Output is correct |
42 |
Correct |
192 ms |
19392 KB |
Output is correct |
43 |
Correct |
125 ms |
19208 KB |
Output is correct |
44 |
Correct |
114 ms |
19156 KB |
Output is correct |
45 |
Correct |
246 ms |
20284 KB |
Output is correct |
46 |
Correct |
263 ms |
20492 KB |
Output is correct |
47 |
Correct |
191 ms |
19396 KB |
Output is correct |
48 |
Correct |
149 ms |
16624 KB |
Output is correct |
49 |
Correct |
151 ms |
18916 KB |
Output is correct |
50 |
Correct |
258 ms |
20404 KB |
Output is correct |
51 |
Correct |
244 ms |
20508 KB |
Output is correct |