#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template<class T> bool cmin(T &i, T j) { return i > j ? i=j,true:false; }
template<class T> bool cmax(T &i, T j) { return i < j ? i=j,true:false; }
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vector<map<int,vector<pair<int,int>>>> adj(n);
for (int i=0,u,v,c,w;i<m;i++) {
cin >> u >> v >> c >> w;
--u,--v;
adj[u][c].emplace_back(v,w);
adj[v][c].emplace_back(u,w);
}
const ll inf = 1e18;
vector<ll> dist(n,inf);
dist[0] = 0;
set<pair<ll,int>> q;
q.emplace(0,0);
while(!q.empty()) {
int x=(*q.begin()).second;q.erase(q.begin());
for (auto &edges: adj[x]) {
if (edges.second.size()==1) {
for (auto &[y,w]: edges.second) {
ll p=dist[y];
if (cmin(dist[y],dist[x])) {
q.erase(make_pair(p,y));
q.emplace(dist[y],y);
}
}
continue;
}
multiset<ll> dists;
ll sum=0;
for (auto &[y,w]: edges.second) {
dists.insert(dist[y]);
sum+=w;
}
for (auto &[y,w]: edges.second) {
dists.erase(dists.find(dist[y]));
ll d=min({dist[x]+w,
*dists.begin()+sum-w,
dist[x]+sum-w});
ll p=dist[y];
if (cmin(dist[y],d)) {
q.erase(make_pair(p,y));
q.emplace(d,y);
}
dists.insert(dist[y]);
}
}
}
cout << (dist[n-1]==inf?-1:dist[n-1]) << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
604 KB |
Output is correct |
11 |
Correct |
2 ms |
640 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
604 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
2 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
600 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
632 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
12108 KB |
Output is correct |
2 |
Correct |
25 ms |
6316 KB |
Output is correct |
3 |
Correct |
89 ms |
11092 KB |
Output is correct |
4 |
Correct |
61 ms |
8532 KB |
Output is correct |
5 |
Correct |
378 ms |
40228 KB |
Output is correct |
6 |
Correct |
310 ms |
35904 KB |
Output is correct |
7 |
Correct |
219 ms |
33320 KB |
Output is correct |
8 |
Correct |
221 ms |
24892 KB |
Output is correct |
9 |
Correct |
191 ms |
24656 KB |
Output is correct |
10 |
Correct |
115 ms |
21060 KB |
Output is correct |
11 |
Correct |
50 ms |
15956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
604 KB |
Output is correct |
11 |
Correct |
2 ms |
640 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
604 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
2 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
600 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
632 KB |
Output is correct |
21 |
Correct |
73 ms |
12108 KB |
Output is correct |
22 |
Correct |
25 ms |
6316 KB |
Output is correct |
23 |
Correct |
89 ms |
11092 KB |
Output is correct |
24 |
Correct |
61 ms |
8532 KB |
Output is correct |
25 |
Correct |
378 ms |
40228 KB |
Output is correct |
26 |
Correct |
310 ms |
35904 KB |
Output is correct |
27 |
Correct |
219 ms |
33320 KB |
Output is correct |
28 |
Correct |
221 ms |
24892 KB |
Output is correct |
29 |
Correct |
191 ms |
24656 KB |
Output is correct |
30 |
Correct |
115 ms |
21060 KB |
Output is correct |
31 |
Correct |
50 ms |
15956 KB |
Output is correct |
32 |
Correct |
104 ms |
9296 KB |
Output is correct |
33 |
Correct |
91 ms |
10320 KB |
Output is correct |
34 |
Correct |
157 ms |
21588 KB |
Output is correct |
35 |
Correct |
139 ms |
17236 KB |
Output is correct |
36 |
Correct |
167 ms |
22860 KB |
Output is correct |
37 |
Correct |
178 ms |
26316 KB |
Output is correct |
38 |
Correct |
222 ms |
33040 KB |
Output is correct |
39 |
Correct |
123 ms |
11668 KB |
Output is correct |
40 |
Correct |
228 ms |
26196 KB |
Output is correct |
41 |
Correct |
216 ms |
26192 KB |
Output is correct |
42 |
Correct |
248 ms |
30548 KB |
Output is correct |
43 |
Correct |
84 ms |
14164 KB |
Output is correct |
44 |
Correct |
167 ms |
17236 KB |
Output is correct |
45 |
Correct |
157 ms |
22932 KB |
Output is correct |
46 |
Correct |
132 ms |
22696 KB |
Output is correct |
47 |
Correct |
180 ms |
26436 KB |
Output is correct |
48 |
Correct |
422 ms |
41620 KB |
Output is correct |