#include <bits/stdc++.h>
using namespace std;
#define int long long
const int INF = 1e15;
struct edge{
int u,v,c,d;
};
edge edges[50001];
set<pair<int,int>> adj[201];
bool visited[50001];
int dist[201][201];
int n;
int dijkastra(){
priority_queue<pair<int,int>> q;
for(bool&i:visited)i=false;
int ans1 = INF;
q.emplace(0,1);
while(!q.empty()){
auto curr = q.top();q.pop();curr.first=-curr.first;
if(visited[curr.second])continue;
visited[curr.second]=true;
if(curr.second==n){ans1=curr.first;break;}
for(auto&i:adj[curr.second]){
if(!visited[i.first])q.emplace(-curr.first-i.second,i.first);
}
}
while(!q.empty())q.pop();
for(bool&i:visited)i=false;
int ans2 = INF;
q.emplace(0,n);
while(!q.empty()){
auto curr = q.top();q.pop();curr.first=-curr.first;
if(visited[curr.second])continue;
visited[curr.second]=true;
if(curr.second==1){ans2=curr.first;break;}
for(auto&i:adj[curr.second]){
if(!visited[i.first])q.emplace(-curr.first-i.second,i.first);
}
}
return ans1+ans2;
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int m;
cin >> n >> m;
for(auto&i:dist)for(int&j:i)j=INF;
for(int i=1;i<=m;i++){
int u,v,c,d;
cin >> u >> v >> c >> d;
edges[i] = {u,v,c,d};
adj[u].insert(make_pair(edges[i].v,edges[i].c));
dist[u][v]=min(dist[u][v],c);
}
for(int i=1;i<=n;i++)dist[i][i]=0;
for(int k=1;k<=n;k++){
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
dist[i][j]=min(dist[i][j],dist[i][k]+dist[k][j]);
}
}
}
int baseans = dist[1][n]+dist[n][1];
for(int i=1;i<=m;i++){
int to = min(dist[1][n],dist[1][edges[i].v]+dist[edges[i].u][n]+edges[i].c);
int back = min(dist[n][1],dist[n][edges[i].v]+dist[edges[i].u][1]+edges[i].c);
if(to+back+edges[i].d<baseans){
adj[edges[i].u].erase(make_pair(edges[i].v,edges[i].c));
adj[edges[i].v].insert(make_pair(edges[i].u,edges[i].c));
baseans = min(baseans,edges[i].d+dijkastra());
adj[edges[i].v].erase(make_pair(edges[i].u,edges[i].c));
adj[edges[i].u].insert(make_pair(edges[i].v,edges[i].c));
}
}
cout << (baseans>=INF ? -1 : baseans) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
860 KB |
Output is correct |
2 |
Correct |
8 ms |
860 KB |
Output is correct |
3 |
Correct |
12 ms |
860 KB |
Output is correct |
4 |
Correct |
8 ms |
860 KB |
Output is correct |
5 |
Correct |
1 ms |
860 KB |
Output is correct |
6 |
Correct |
8 ms |
816 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
860 KB |
Output is correct |
10 |
Correct |
13 ms |
892 KB |
Output is correct |
11 |
Correct |
22 ms |
888 KB |
Output is correct |
12 |
Correct |
13 ms |
884 KB |
Output is correct |
13 |
Correct |
8 ms |
856 KB |
Output is correct |
14 |
Correct |
8 ms |
856 KB |
Output is correct |
15 |
Correct |
8 ms |
888 KB |
Output is correct |
16 |
Correct |
9 ms |
888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
3676 KB |
Output is correct |
2 |
Correct |
27 ms |
4208 KB |
Output is correct |
3 |
Correct |
25 ms |
3796 KB |
Output is correct |
4 |
Incorrect |
8 ms |
916 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
892 KB |
Output is correct |
2 |
Correct |
8 ms |
604 KB |
Output is correct |
3 |
Correct |
22 ms |
3420 KB |
Output is correct |
4 |
Correct |
8 ms |
860 KB |
Output is correct |
5 |
Correct |
26 ms |
4004 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
46 ms |
4392 KB |
Output is correct |
9 |
Correct |
54 ms |
4080 KB |
Output is correct |
10 |
Correct |
32 ms |
3412 KB |
Output is correct |
11 |
Correct |
25 ms |
3416 KB |
Output is correct |
12 |
Correct |
26 ms |
3620 KB |
Output is correct |
13 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
860 KB |
Output is correct |
2 |
Correct |
8 ms |
860 KB |
Output is correct |
3 |
Correct |
12 ms |
860 KB |
Output is correct |
4 |
Correct |
8 ms |
860 KB |
Output is correct |
5 |
Correct |
1 ms |
860 KB |
Output is correct |
6 |
Correct |
8 ms |
816 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
860 KB |
Output is correct |
10 |
Correct |
13 ms |
892 KB |
Output is correct |
11 |
Correct |
22 ms |
888 KB |
Output is correct |
12 |
Correct |
13 ms |
884 KB |
Output is correct |
13 |
Correct |
8 ms |
856 KB |
Output is correct |
14 |
Correct |
8 ms |
856 KB |
Output is correct |
15 |
Correct |
8 ms |
888 KB |
Output is correct |
16 |
Correct |
9 ms |
888 KB |
Output is correct |
17 |
Correct |
25 ms |
3676 KB |
Output is correct |
18 |
Correct |
27 ms |
4208 KB |
Output is correct |
19 |
Correct |
25 ms |
3796 KB |
Output is correct |
20 |
Incorrect |
8 ms |
916 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |