#include <bits/stdc++.h>
using namespace std;
#define pii pair<long long,int>
const int N = 1e5 + 1;
const int K = 6;
int n,m,k;
vector<pair<int,int> > adj[N];
vector<int> imp;
int idx[N];
bool visited[N];
long long dist[K][N],dis1[N],dis2[N],ans = LLONG_MAX;
priority_queue<pii,vector<pii>,greater<pii> > q;
void dijk(int x,long long (&dist)[N])
{
for(int i = 1;i <= n;i++) visited[i] = false,dist[i] = LLONG_MAX;
dist[x] = 0;
q.push({0,x});
while(!q.empty())
{
int u = q.top().second;
q.pop();
if(visited[u]) continue;
visited[u] = true;
for(auto [w,v] : adj[u]) if(dist[u]+w<dist[v]) dist[v] = dist[u]+w,q.push({dist[v],v});
}
}
long long cal(int a,int b)
{
if(idx[a]) return dist[idx[a]][b];
else return dist[idx[b]][a];
}
void solve2(){ ans = min(ans,cal(imp[0],imp[1])); }
void solve3()
{
for(int i = 1;i <= n;i++)
{
long long each = 0;
for(int x : imp) each+=cal(i,x);
ans = min(ans,each);
}
}
void solve4()
{
long long each = 0;
for(int i = 0;i < k-1;i++) each+=cal(imp[i],imp[i+1]);
ans = min(ans,each);
for(int i = 1;i <= n;i++) ans = min(ans,cal(imp[0],imp[1])+cal(imp[1],i)+cal(imp[2],i)+cal(imp[3],i));
for(int i = 1;i <= n;i++) dis1[i] = cal(imp[0],i)+cal(imp[1],i),dis2[i] = cal(imp[2],i)+cal(imp[3],i);
for(int i = 1;i <= n;i++) q.push({dis1[i],i}),visited[i] = false;
while(!q.empty())
{
int u = q.top().second;
q.pop();
if(visited[u]) continue;
visited[u] = true;
ans = min(ans,dis1[u]+dis2[u]);
for(auto [w,v] : adj[u]) if(dis1[u]+w<dis1[v]) dis1[v] = dis1[u]+w,q.push({dis1[v],v});
}
}
void solve5()
{
long long each = 0;
for(int i = 0;i < k-1;i++) each+=cal(imp[i],imp[i+1]);
ans = min(ans,each);
ans = min(ans,cal(imp[0],imp[1])+cal(imp[0],imp[2])+cal(imp[0],imp[3])+cal(imp[3],imp[4]));
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> k >> m;
for(int i = 1;i <= k;i++)
{
int x;
cin >> x;
imp.push_back(x);
idx[x] = i;
}
for(int i = 0;i < m;i++)
{
int a,b,d;
cin >> a >> b >> d;
adj[a].push_back({d,b});
adj[b].push_back({d,a});
}
for(int x : imp) dijk(x,dist[idx[x]]);
sort(imp.begin(),imp.end());
do
{
if(k==2) solve2();
else if(k==3) solve3();
else if(k==4) solve4(),solve3();
else solve5(),solve3();
}while(next_permutation(imp.begin(),imp.end()));
cout << ans;
}
Compilation message
cities.cpp: In function 'void dijk(int, long long int (&)[100001])':
cities.cpp:27:18: warning: decomposition declaration only available with -std=c++1z or -std=gnu++1z
for(auto [w,v] : adj[u]) if(dist[u]+w<dist[v]) dist[v] = dist[u]+w,q.push({dist[v],v});
^
cities.cpp: In function 'void solve4()':
cities.cpp:64:18: warning: decomposition declaration only available with -std=c++1z or -std=gnu++1z
for(auto [w,v] : adj[u]) if(dis1[u]+w<dis1[v]) dis1[v] = dis1[u]+w,q.push({dis1[v],v});
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2688 KB |
Output is correct |
2 |
Correct |
2 ms |
2688 KB |
Output is correct |
3 |
Correct |
2 ms |
2688 KB |
Output is correct |
4 |
Correct |
2 ms |
2688 KB |
Output is correct |
5 |
Incorrect |
3 ms |
2688 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
282 ms |
13240 KB |
Output is correct |
2 |
Correct |
283 ms |
13152 KB |
Output is correct |
3 |
Correct |
120 ms |
9208 KB |
Output is correct |
4 |
Correct |
87 ms |
8056 KB |
Output is correct |
5 |
Correct |
238 ms |
12500 KB |
Output is correct |
6 |
Correct |
86 ms |
8060 KB |
Output is correct |
7 |
Correct |
3 ms |
2944 KB |
Output is correct |
8 |
Correct |
3 ms |
2816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
3072 KB |
Output is correct |
2 |
Correct |
11 ms |
2996 KB |
Output is correct |
3 |
Correct |
8 ms |
2816 KB |
Output is correct |
4 |
Correct |
7 ms |
2944 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2138 ms |
18668 KB |
Output is correct |
2 |
Correct |
2049 ms |
21732 KB |
Output is correct |
3 |
Correct |
1390 ms |
14952 KB |
Output is correct |
4 |
Correct |
1056 ms |
17260 KB |
Output is correct |
5 |
Correct |
245 ms |
12412 KB |
Output is correct |
6 |
Correct |
100 ms |
12412 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
508 ms |
14916 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |