// author : thembululquaUwU
// 3.9.2024
#include <bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define endl '\n'
using namespace std;
using ll = long long;
using ii = pair <int, int>;
using lli = pair <ll, int>;
using vi = vector <int>;
const int N = 1e5 + 5;
const int mod = 1e9 + 7;
const ll inf = 1e18;
const int LG = 4;
const int mx = (1 << LG);
void maxl(auto &a, auto b) {a = max(a, b);}
void minl(auto &a, auto b) {a = min(a, b);}
int n, m, k, T, a[LG];
pair <int, int> trace[mx][N];
vector <ii> adj[N];
ll d[mx][N];
priority_queue <lli, vector <lli>, greater <lli>> pq;
#define Mask(i) (1 << (i))
#define Bit(x, i) ((x) >> (i) & 1)
#define bp __builtin_popcount
#define bpll __builtin_popcountll
struct Edge{
int u, v, mask;
};
vector <Edge> ans;
void dfs(int mask, int u){
auto [m1, m2] = trace[mask][u];
if (!m1) return;
if (m1 == mask){
ans.push_back({m2, u, mask});
dfs(m1, m2);
}
else {
dfs(m1, u);
dfs(m2, u);
}
}
void solve(){
cin >> n >> k >> m;
for (int i = 0; i < k; ++ i) cin >> a[i];
T = a[k - 1]; -- k;
while (m --){
int u, v, w; cin >> u >> v >> w;
adj[u].pb({w, v});
adj[v].pb({w, u});
}
int tae = (1 << k);
for (int mask = 1; mask < tae; ++ mask){
for (int i = 1; i <= n; ++ i) d[mask][i] = inf;
if (bp(mask) == 1) {
d[mask][a[__lg(mask)]] = 0;
trace[mask][a[__lg(mask)]] = {0, 0};
}
for (int i = 1; i <= n; ++ i){
for (int j = (mask - 1) & mask; j; j = (j - 1) & mask){
if (d[mask][i] > d[j][i] + d[mask - j][i]){
d[mask][i] = d[j][i] + d[mask - j][i];
trace[mask][i] = {j, mask - j};
}
}
pq.push({d[mask][i], i});
}
while (pq.size()){
auto [du, u] = pq.top(); pq.pop();
if (du != d[mask][u]) continue;
for (auto [w, v] : adj[u]){
if (d[mask][v] > du + w){
d[mask][v] = du + w;
trace[mask][v] = {mask, u};
pq.push({d[mask][v], v});
}
}
}
}
cout << d[tae - 1][T] << endl;
// dfs(tae - 1, T);
// reverse(ans.begin(), ans.end());
// cout << ans.size() << endl;
// for (auto [u, v, mask] : ans){
// for (int i = 0; i < k; ++ i) cout << Bit(mask, i);
// cout << ' ' << u << ' ' << v << endl;
// }
}
int main(){
if (fopen("taxi.inp", "r")){
freopen("taxi.inp", "r", stdin);
freopen("taxi.out", "w", stdout);
}
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int t = 1; // cin >> t;
while (t --) solve();
return 0;
}
Compilation message
cities.cpp:22:11: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
22 | void maxl(auto &a, auto b) {a = max(a, b);}
| ^~~~
cities.cpp:22:20: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
22 | void maxl(auto &a, auto b) {a = max(a, b);}
| ^~~~
cities.cpp:23:11: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
23 | void minl(auto &a, auto b) {a = min(a, b);}
| ^~~~
cities.cpp:23:20: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
23 | void minl(auto &a, auto b) {a = min(a, b);}
| ^~~~
cities.cpp: In function 'int main()':
cities.cpp:107:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
107 | freopen("taxi.inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
cities.cpp:108:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
108 | freopen("taxi.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6648 KB |
Output is correct |
3 |
Correct |
2 ms |
10744 KB |
Output is correct |
4 |
Correct |
2 ms |
14840 KB |
Output is correct |
5 |
Correct |
3 ms |
26960 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
180 ms |
25268 KB |
Output is correct |
2 |
Correct |
180 ms |
24936 KB |
Output is correct |
3 |
Correct |
94 ms |
18112 KB |
Output is correct |
4 |
Correct |
39 ms |
18760 KB |
Output is correct |
5 |
Correct |
96 ms |
23232 KB |
Output is correct |
6 |
Correct |
43 ms |
14664 KB |
Output is correct |
7 |
Correct |
3 ms |
10832 KB |
Output is correct |
8 |
Correct |
2 ms |
6736 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
14928 KB |
Output is correct |
2 |
Correct |
4 ms |
14928 KB |
Output is correct |
3 |
Correct |
3 ms |
14672 KB |
Output is correct |
4 |
Correct |
4 ms |
15096 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
360 ms |
30900 KB |
Output is correct |
2 |
Correct |
353 ms |
31144 KB |
Output is correct |
3 |
Correct |
220 ms |
24248 KB |
Output is correct |
4 |
Correct |
230 ms |
28856 KB |
Output is correct |
5 |
Correct |
82 ms |
23876 KB |
Output is correct |
6 |
Correct |
53 ms |
24672 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
748 ms |
41904 KB |
Output is correct |
2 |
Correct |
689 ms |
42312 KB |
Output is correct |
3 |
Correct |
677 ms |
42120 KB |
Output is correct |
4 |
Correct |
416 ms |
35000 KB |
Output is correct |
5 |
Correct |
443 ms |
39352 KB |
Output is correct |
6 |
Correct |
116 ms |
36284 KB |
Output is correct |
7 |
Correct |
52 ms |
36936 KB |
Output is correct |