#include <bits/stdc++.h>
using namespace std ;
const long long inf = 1e18 ;
const int MAX = 1e5 + 10 ;
int arr[MAX] ;
int n , m ;
vector< vector< array<int , 3> > >adj(MAX) ;
long long dist[MAX] ;
map< pair<int , int> , long long>mp , mp2 ;
void dijkstra(int src)
{
for(int i = 1 ; i <= n ; ++i)
dist[i] = inf ;
priority_queue< pair<long long , int> , vector< pair<long long , int> > , greater< pair<long long , int> > >q ;
dist[src] = 0 ;
q.push({0 , src}) ;
while(!q.empty())
{
pair<long long , int>p = q.top() ;
q.pop() ;
int node = p.second ;
long long cost = p.first ;
if(dist[node] < cost)
continue ;
for(auto &childd : adj[node])
{
mp2[{node , childd[0]}] = max(mp2[{node , childd[0]}] , 1ll * childd[2] - (dist[childd[1]] + childd[2] - dist[node])) ;
}
for(auto &childd : adj[node])
{
int child2 = childd[1] ;
long long cost2 = cost + min(1ll * childd[2] , mp[{node , childd[0]}] - childd[2] - mp2[{node , childd[0]}]) ;
if(cost2 < dist[child2])
{
dist[child2] = cost2 ;
q.push({cost2 , child2}) ;
}
}
}
}
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n>>m ;
for(int i = 0 ; i < m ; ++i)
{
int x , y , c , w ;
cin>>x>>y>>c>>w ;
adj[x].push_back({c , y , w}) ;
adj[y].push_back({c , x , w}) ;
mp[{x , c}] += w , mp[{y , c}] += w ;
}
dijkstra(1) ;
if(dist[n] == inf)
dist[n] = -1 ;
return cout<<dist[n]<<"\n" , 0 ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
1 ms |
2644 KB |
Output is correct |
6 |
Correct |
1 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2752 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
3 ms |
3028 KB |
Output is correct |
10 |
Correct |
3 ms |
3028 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
3 ms |
2900 KB |
Output is correct |
14 |
Correct |
3 ms |
2900 KB |
Output is correct |
15 |
Correct |
3 ms |
2772 KB |
Output is correct |
16 |
Correct |
4 ms |
2900 KB |
Output is correct |
17 |
Correct |
4 ms |
2900 KB |
Output is correct |
18 |
Correct |
2 ms |
2772 KB |
Output is correct |
19 |
Correct |
3 ms |
2772 KB |
Output is correct |
20 |
Correct |
3 ms |
2836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
142 ms |
14404 KB |
Output is correct |
2 |
Correct |
67 ms |
8776 KB |
Output is correct |
3 |
Correct |
132 ms |
12248 KB |
Output is correct |
4 |
Correct |
80 ms |
10572 KB |
Output is correct |
5 |
Correct |
586 ms |
40960 KB |
Output is correct |
6 |
Correct |
465 ms |
34444 KB |
Output is correct |
7 |
Correct |
289 ms |
22916 KB |
Output is correct |
8 |
Correct |
382 ms |
24036 KB |
Output is correct |
9 |
Correct |
436 ms |
24012 KB |
Output is correct |
10 |
Correct |
205 ms |
21864 KB |
Output is correct |
11 |
Correct |
85 ms |
12032 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
1 ms |
2644 KB |
Output is correct |
6 |
Correct |
1 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2752 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
3 ms |
3028 KB |
Output is correct |
10 |
Correct |
3 ms |
3028 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
3 ms |
2900 KB |
Output is correct |
14 |
Correct |
3 ms |
2900 KB |
Output is correct |
15 |
Correct |
3 ms |
2772 KB |
Output is correct |
16 |
Correct |
4 ms |
2900 KB |
Output is correct |
17 |
Correct |
4 ms |
2900 KB |
Output is correct |
18 |
Correct |
2 ms |
2772 KB |
Output is correct |
19 |
Correct |
3 ms |
2772 KB |
Output is correct |
20 |
Correct |
3 ms |
2836 KB |
Output is correct |
21 |
Correct |
142 ms |
14404 KB |
Output is correct |
22 |
Correct |
67 ms |
8776 KB |
Output is correct |
23 |
Correct |
132 ms |
12248 KB |
Output is correct |
24 |
Correct |
80 ms |
10572 KB |
Output is correct |
25 |
Correct |
586 ms |
40960 KB |
Output is correct |
26 |
Correct |
465 ms |
34444 KB |
Output is correct |
27 |
Correct |
289 ms |
22916 KB |
Output is correct |
28 |
Correct |
382 ms |
24036 KB |
Output is correct |
29 |
Correct |
436 ms |
24012 KB |
Output is correct |
30 |
Correct |
205 ms |
21864 KB |
Output is correct |
31 |
Correct |
85 ms |
12032 KB |
Output is correct |
32 |
Correct |
121 ms |
12816 KB |
Output is correct |
33 |
Correct |
123 ms |
12984 KB |
Output is correct |
34 |
Correct |
268 ms |
26796 KB |
Output is correct |
35 |
Correct |
227 ms |
20976 KB |
Output is correct |
36 |
Correct |
214 ms |
22808 KB |
Output is correct |
37 |
Correct |
258 ms |
24396 KB |
Output is correct |
38 |
Correct |
232 ms |
26640 KB |
Output is correct |
39 |
Correct |
159 ms |
15608 KB |
Output is correct |
40 |
Correct |
422 ms |
29484 KB |
Output is correct |
41 |
Correct |
436 ms |
29712 KB |
Output is correct |
42 |
Correct |
384 ms |
33476 KB |
Output is correct |
43 |
Correct |
153 ms |
17144 KB |
Output is correct |
44 |
Correct |
251 ms |
23008 KB |
Output is correct |
45 |
Correct |
308 ms |
26076 KB |
Output is correct |
46 |
Correct |
286 ms |
25616 KB |
Output is correct |
47 |
Correct |
272 ms |
24416 KB |
Output is correct |
48 |
Correct |
637 ms |
46952 KB |
Output is correct |