#include <stdio.h>
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <random>
#include <chrono>
#include <queue>
#include <functional>
#include <iostream>
#include <queue>
//#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define ld long double
const ll maxn = 1e5 + 1, maxm = 1e7 + 1;
const ll mod = 1e9 + 7, mod2 = 998244353, inf = 1e9, block = 550, hb = 31, base = 1000050017;
const ld eps = 1e-9;
int n, m;
int s, t;
int ss, tt;
bool is[maxn];
int go[maxn];
ll ans = inf * inf, dp[maxn], dp2[maxn], dp3[maxn], was[maxn];
ll pd[maxn][2];
vector<pair<int, int>> g[maxn];
vector<int> g2[maxn], g3[maxn];
void dfsis(int v){
if (v == t){
is[v] = 1;
}
was[v] = 1;
for (auto to : g2[v]){
if (was[to] == 0){
dfsis(to);
}
is[v] |= is[to];
}
}
void dijkstra(){
for (int i = 1; i <= n; ++i){
dp[i] = inf * inf;
}
dp[s] = 0;
// set<pair<ll, int>> setik;
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>> > setik;
setik.push(mp(0, s));
while (setik.size() > 0){
pair<ll, int> cur = setik.top();
setik.pop();
ll cost = cur.f, v = cur.s;
if (dp[v] < cost){
continue;
}
for (auto to : g[v]){
int nv = to.f, w = to.s;
if (dp[nv] > cost + w){
dp[nv] = cost + w;
setik.push(mp(dp[nv], nv));
}
}
}
for (int i = 1; i <= n; ++i){
for (auto to : g[i]){
int nv = to.f, w = to.s;
if (dp[i] > dp[nv]){
continue;
}
if (dp[nv] == w + dp[i] && dp[i] < dp[nv]){
g2[i].pb(nv);
}
}
}
dfsis(s);
for (int i = 1; i <= n; ++i){
g2[i].clear();
for (auto to : g[i]){
int nv = to.f, w = to.s;
if (dp[i] > dp[nv]){
continue;
}
if (dp[nv] == w + dp[i] && is[nv] == 1){
g2[i].pb(nv);
}
}
}
}
void dijkstra2(){
for (int i = 1; i <= n; ++i){
dp2[i] = inf * inf;
}
dp2[ss] = 0;
// set<pair<ll, int>> setik;
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>> > setik;
setik.push(mp(0, ss));
while (setik.size() > 0){
pair<ll, int> cur = setik.top();
setik.pop();
ll cost = cur.f, v = cur.s;
if (dp2[v] < cost){
continue;
}
for (auto to : g[v]){
int nv = to.f, w = to.s;
if (dp2[nv] > cost + w){
dp2[nv] = cost + w;
setik.push(mp(dp2[nv], nv));
}
}
}
}
void dijkstra3(){
for (int i = 1; i <= n; ++i){
dp3[i] = inf * inf;
}
dp3[tt] = 0;
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>> > setik;
setik.push(mp(0, tt));
while (setik.size() > 0){
pair<ll, int> cur = setik.top();
setik.pop();
ll cost = cur.f, v = cur.s;
if (dp3[v] < cost){
continue;
}
for (auto to : g[v]){
int nv = to.f, w = to.s;
if (dp3[nv] > cost + w){
dp3[nv] = cost + w;
setik.push(mp(dp3[nv], nv));
}
}
}
}
void backdfs(int v){
for (int i = 1; i <= n; ++i){
for (auto to : g2[i]){
go[i] += 1;
g3[to].pb(i);
}
pd[i][0] = inf * inf;
pd[i][1] = inf * inf;
}
queue<int> q;
q.push(v);
while (q.size() > 0){
int u = q.front();
q.pop();
pd[u][0] = min(pd[u][0], dp3[u]);
pd[u][1] = min(pd[u][1], dp2[u]);
ans = min(ans, pd[u][0] + dp2[u]);
ans = min(ans, pd[u][1] + dp3[u]);
for (auto to : g3[u]){
go[to] -= 1;
pd[to][0] = min(pd[to][0], pd[u][0]);
pd[to][1] = min(pd[to][1], pd[u][1]);
if (go[to] == 0){
q.push(to);
}
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m;
cin >> s >> t;
cin >> ss >> tt;
for (int i = 1; i <= m; ++i){
int a, b, c;
cin >> a >> b >> c;
g[a].pb(mp(b, c));
g[b].pb(mp(a, c));
}
dijkstra();
dijkstra2();
dijkstra3();
backdfs(t);
ans = min(ans, dp2[tt]);
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
175 ms |
22860 KB |
Output is correct |
2 |
Correct |
159 ms |
22556 KB |
Output is correct |
3 |
Correct |
214 ms |
31380 KB |
Output is correct |
4 |
Correct |
151 ms |
26924 KB |
Output is correct |
5 |
Correct |
156 ms |
26588 KB |
Output is correct |
6 |
Correct |
162 ms |
26668 KB |
Output is correct |
7 |
Correct |
164 ms |
26944 KB |
Output is correct |
8 |
Correct |
164 ms |
26712 KB |
Output is correct |
9 |
Correct |
168 ms |
26316 KB |
Output is correct |
10 |
Correct |
169 ms |
25808 KB |
Output is correct |
11 |
Correct |
67 ms |
25680 KB |
Output is correct |
12 |
Correct |
164 ms |
26728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
168 ms |
25032 KB |
Output is correct |
2 |
Correct |
178 ms |
25300 KB |
Output is correct |
3 |
Correct |
174 ms |
25244 KB |
Output is correct |
4 |
Correct |
170 ms |
25208 KB |
Output is correct |
5 |
Correct |
218 ms |
25276 KB |
Output is correct |
6 |
Correct |
165 ms |
27116 KB |
Output is correct |
7 |
Correct |
177 ms |
29612 KB |
Output is correct |
8 |
Correct |
175 ms |
25184 KB |
Output is correct |
9 |
Correct |
174 ms |
25224 KB |
Output is correct |
10 |
Correct |
170 ms |
25224 KB |
Output is correct |
11 |
Correct |
70 ms |
24656 KB |
Output is correct |
12 |
Correct |
163 ms |
27492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
11612 KB |
Output is correct |
2 |
Correct |
3 ms |
11100 KB |
Output is correct |
3 |
Correct |
2 ms |
10844 KB |
Output is correct |
4 |
Correct |
13 ms |
12892 KB |
Output is correct |
5 |
Correct |
7 ms |
11952 KB |
Output is correct |
6 |
Correct |
2 ms |
10840 KB |
Output is correct |
7 |
Correct |
3 ms |
10844 KB |
Output is correct |
8 |
Correct |
3 ms |
11100 KB |
Output is correct |
9 |
Correct |
3 ms |
10844 KB |
Output is correct |
10 |
Correct |
7 ms |
11864 KB |
Output is correct |
11 |
Correct |
3 ms |
10844 KB |
Output is correct |
12 |
Correct |
2 ms |
10844 KB |
Output is correct |
13 |
Correct |
3 ms |
11100 KB |
Output is correct |
14 |
Correct |
2 ms |
10844 KB |
Output is correct |
15 |
Correct |
2 ms |
10844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
175 ms |
22860 KB |
Output is correct |
2 |
Correct |
159 ms |
22556 KB |
Output is correct |
3 |
Correct |
214 ms |
31380 KB |
Output is correct |
4 |
Correct |
151 ms |
26924 KB |
Output is correct |
5 |
Correct |
156 ms |
26588 KB |
Output is correct |
6 |
Correct |
162 ms |
26668 KB |
Output is correct |
7 |
Correct |
164 ms |
26944 KB |
Output is correct |
8 |
Correct |
164 ms |
26712 KB |
Output is correct |
9 |
Correct |
168 ms |
26316 KB |
Output is correct |
10 |
Correct |
169 ms |
25808 KB |
Output is correct |
11 |
Correct |
67 ms |
25680 KB |
Output is correct |
12 |
Correct |
164 ms |
26728 KB |
Output is correct |
13 |
Correct |
168 ms |
25032 KB |
Output is correct |
14 |
Correct |
178 ms |
25300 KB |
Output is correct |
15 |
Correct |
174 ms |
25244 KB |
Output is correct |
16 |
Correct |
170 ms |
25208 KB |
Output is correct |
17 |
Correct |
218 ms |
25276 KB |
Output is correct |
18 |
Correct |
165 ms |
27116 KB |
Output is correct |
19 |
Correct |
177 ms |
29612 KB |
Output is correct |
20 |
Correct |
175 ms |
25184 KB |
Output is correct |
21 |
Correct |
174 ms |
25224 KB |
Output is correct |
22 |
Correct |
170 ms |
25224 KB |
Output is correct |
23 |
Correct |
70 ms |
24656 KB |
Output is correct |
24 |
Correct |
163 ms |
27492 KB |
Output is correct |
25 |
Correct |
7 ms |
11612 KB |
Output is correct |
26 |
Correct |
3 ms |
11100 KB |
Output is correct |
27 |
Correct |
2 ms |
10844 KB |
Output is correct |
28 |
Correct |
13 ms |
12892 KB |
Output is correct |
29 |
Correct |
7 ms |
11952 KB |
Output is correct |
30 |
Correct |
2 ms |
10840 KB |
Output is correct |
31 |
Correct |
3 ms |
10844 KB |
Output is correct |
32 |
Correct |
3 ms |
11100 KB |
Output is correct |
33 |
Correct |
3 ms |
10844 KB |
Output is correct |
34 |
Correct |
7 ms |
11864 KB |
Output is correct |
35 |
Correct |
3 ms |
10844 KB |
Output is correct |
36 |
Correct |
2 ms |
10844 KB |
Output is correct |
37 |
Correct |
3 ms |
11100 KB |
Output is correct |
38 |
Correct |
2 ms |
10844 KB |
Output is correct |
39 |
Correct |
2 ms |
10844 KB |
Output is correct |
40 |
Correct |
140 ms |
26656 KB |
Output is correct |
41 |
Correct |
152 ms |
25644 KB |
Output is correct |
42 |
Correct |
157 ms |
25972 KB |
Output is correct |
43 |
Correct |
70 ms |
27220 KB |
Output is correct |
44 |
Correct |
69 ms |
27220 KB |
Output is correct |
45 |
Correct |
165 ms |
28180 KB |
Output is correct |
46 |
Correct |
180 ms |
28076 KB |
Output is correct |
47 |
Correct |
172 ms |
27168 KB |
Output is correct |
48 |
Correct |
71 ms |
24656 KB |
Output is correct |
49 |
Correct |
134 ms |
27884 KB |
Output is correct |
50 |
Correct |
152 ms |
27316 KB |
Output is correct |
51 |
Correct |
146 ms |
28104 KB |
Output is correct |