#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define mod 1000000007
#define pb push_back
#define ff first
#define ss second
typedef pair<int,int> pp;
bool com(pp x, pp y){
if(x.ff == y.ff) return x.ss < y.ss;
return x.ff < y.ff;
}
ll power(ll x, ll y){
ll prod = 1;
while(y){
if(y & 1) prod = (prod * x) % mod;
x = (x * x) % mod;
y /= 2;
}
return prod;
}
const int N = 2e5 + 7;
int tc = 1;
vector<pair<int, ll>> vtx[N];
ll ds[N];
void dijsktra(int s, ll *d, int n){
vector<int> vis(n + 1);
priority_queue<pair<ll, int>> q;
q.push({0, s});
while(!q.empty()){
ll c = q.top().ff;
int u = q.top().ss;
q.pop();
if(!vis[u]){
d[u] = -c;
vis[u] = 1;
for(auto v : vtx[u]){
q.push({c - v.ss, v.ff});
}
}
}
}
void dijstra2(int s, int t, ll *du, ll *dv, int n, ll &ans){
vector<int> vis(n + 1);
ll dp[2][n + 2];
for(int i = 0; i <= n; i++) dp[0][i] = dp[1][i] = 1e15;
priority_queue<pair<ll, pair<int, int>>> q;
q.push({0, {s, 0}});
while(!q.empty()){
ll c;
int node, par;
c = q.top().first;
node = q.top().second.first;
par = q.top().second.second;
q.pop();
if (!vis[node]) {
vis[node] = 1;
ds[node] = -c;
dp[0][node] = min(du[node], dp[0][par]);
dp[1][node] = min(dv[node], dp[1][par]);
for (auto v : vtx[node]) q.push({c - v.second, {v.first, node}});
} else if (-c == ds[node]) {
if (min(du[node], dp[0][par]) + min(dv[node], dp[1][par]) <= dp[0][node] + dp[1][node]) {
dp[0][node] = min(du[node], dp[0][par]);
dp[1][node] = min(dv[node], dp[1][par]);
}
}
}
ans = min(ans, dp[0][t] + dp[1][t]);
}
void solve(){
int n, m;
cin >> n >> m;
int s, t;
cin >> s >> t;
int u, v;
cin >> u >> v;
for(int i = 0; i < m; i++){
int uu, vv;
ll w;
cin >> uu >> vv >> w;
vtx[uu].pb({vv, w});
vtx[vv].pb({uu, w});
}
ll du[n + 1], dv[n + 1];
dijsktra(u, du, n);
dijsktra(v, dv, n);
ll ans = du[v];
dijstra2(s, t, du, dv, n, ans);
dijstra2(t, s, du, dv, n, ans);
cout << ans << "\n";
// cout << "Case #" << tc << ": " << ans + k << "\n";
// tc++;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t = 1;
// cin >> t;
while (t--)
solve();
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
486 ms |
30468 KB |
Output is correct |
2 |
Correct |
421 ms |
29600 KB |
Output is correct |
3 |
Correct |
433 ms |
29580 KB |
Output is correct |
4 |
Correct |
483 ms |
29800 KB |
Output is correct |
5 |
Correct |
434 ms |
27044 KB |
Output is correct |
6 |
Correct |
492 ms |
30128 KB |
Output is correct |
7 |
Correct |
442 ms |
29388 KB |
Output is correct |
8 |
Correct |
425 ms |
29636 KB |
Output is correct |
9 |
Correct |
491 ms |
30712 KB |
Output is correct |
10 |
Correct |
503 ms |
30892 KB |
Output is correct |
11 |
Correct |
129 ms |
16544 KB |
Output is correct |
12 |
Correct |
464 ms |
30880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
481 ms |
29904 KB |
Output is correct |
2 |
Correct |
412 ms |
27116 KB |
Output is correct |
3 |
Correct |
433 ms |
29468 KB |
Output is correct |
4 |
Correct |
421 ms |
27200 KB |
Output is correct |
5 |
Correct |
426 ms |
27364 KB |
Output is correct |
6 |
Correct |
422 ms |
29468 KB |
Output is correct |
7 |
Correct |
425 ms |
27000 KB |
Output is correct |
8 |
Correct |
416 ms |
27188 KB |
Output is correct |
9 |
Correct |
409 ms |
27104 KB |
Output is correct |
10 |
Correct |
410 ms |
29344 KB |
Output is correct |
11 |
Correct |
122 ms |
16620 KB |
Output is correct |
12 |
Correct |
417 ms |
29504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
7636 KB |
Output is correct |
2 |
Correct |
4 ms |
5020 KB |
Output is correct |
3 |
Correct |
4 ms |
4976 KB |
Output is correct |
4 |
Correct |
68 ms |
10316 KB |
Output is correct |
5 |
Correct |
36 ms |
8332 KB |
Output is correct |
6 |
Correct |
5 ms |
5196 KB |
Output is correct |
7 |
Correct |
6 ms |
5196 KB |
Output is correct |
8 |
Correct |
8 ms |
5324 KB |
Output is correct |
9 |
Correct |
5 ms |
5324 KB |
Output is correct |
10 |
Correct |
34 ms |
8244 KB |
Output is correct |
11 |
Correct |
3 ms |
5016 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
5068 KB |
Output is correct |
14 |
Correct |
4 ms |
5024 KB |
Output is correct |
15 |
Correct |
4 ms |
5152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
486 ms |
30468 KB |
Output is correct |
2 |
Correct |
421 ms |
29600 KB |
Output is correct |
3 |
Correct |
433 ms |
29580 KB |
Output is correct |
4 |
Correct |
483 ms |
29800 KB |
Output is correct |
5 |
Correct |
434 ms |
27044 KB |
Output is correct |
6 |
Correct |
492 ms |
30128 KB |
Output is correct |
7 |
Correct |
442 ms |
29388 KB |
Output is correct |
8 |
Correct |
425 ms |
29636 KB |
Output is correct |
9 |
Correct |
491 ms |
30712 KB |
Output is correct |
10 |
Correct |
503 ms |
30892 KB |
Output is correct |
11 |
Correct |
129 ms |
16544 KB |
Output is correct |
12 |
Correct |
464 ms |
30880 KB |
Output is correct |
13 |
Correct |
481 ms |
29904 KB |
Output is correct |
14 |
Correct |
412 ms |
27116 KB |
Output is correct |
15 |
Correct |
433 ms |
29468 KB |
Output is correct |
16 |
Correct |
421 ms |
27200 KB |
Output is correct |
17 |
Correct |
426 ms |
27364 KB |
Output is correct |
18 |
Correct |
422 ms |
29468 KB |
Output is correct |
19 |
Correct |
425 ms |
27000 KB |
Output is correct |
20 |
Correct |
416 ms |
27188 KB |
Output is correct |
21 |
Correct |
409 ms |
27104 KB |
Output is correct |
22 |
Correct |
410 ms |
29344 KB |
Output is correct |
23 |
Correct |
122 ms |
16620 KB |
Output is correct |
24 |
Correct |
417 ms |
29504 KB |
Output is correct |
25 |
Correct |
36 ms |
7636 KB |
Output is correct |
26 |
Correct |
4 ms |
5020 KB |
Output is correct |
27 |
Correct |
4 ms |
4976 KB |
Output is correct |
28 |
Correct |
68 ms |
10316 KB |
Output is correct |
29 |
Correct |
36 ms |
8332 KB |
Output is correct |
30 |
Correct |
5 ms |
5196 KB |
Output is correct |
31 |
Correct |
6 ms |
5196 KB |
Output is correct |
32 |
Correct |
8 ms |
5324 KB |
Output is correct |
33 |
Correct |
5 ms |
5324 KB |
Output is correct |
34 |
Correct |
34 ms |
8244 KB |
Output is correct |
35 |
Correct |
3 ms |
5016 KB |
Output is correct |
36 |
Correct |
3 ms |
4940 KB |
Output is correct |
37 |
Correct |
3 ms |
5068 KB |
Output is correct |
38 |
Correct |
4 ms |
5024 KB |
Output is correct |
39 |
Correct |
4 ms |
5152 KB |
Output is correct |
40 |
Correct |
462 ms |
30024 KB |
Output is correct |
41 |
Correct |
492 ms |
30516 KB |
Output is correct |
42 |
Correct |
478 ms |
30688 KB |
Output is correct |
43 |
Correct |
140 ms |
16556 KB |
Output is correct |
44 |
Correct |
135 ms |
16948 KB |
Output is correct |
45 |
Correct |
413 ms |
26104 KB |
Output is correct |
46 |
Correct |
453 ms |
26072 KB |
Output is correct |
47 |
Correct |
452 ms |
27276 KB |
Output is correct |
48 |
Correct |
145 ms |
16156 KB |
Output is correct |
49 |
Correct |
449 ms |
28844 KB |
Output is correct |
50 |
Correct |
419 ms |
26168 KB |
Output is correct |
51 |
Correct |
417 ms |
26232 KB |
Output is correct |