import java.io.*;
import java.util.*;
public class commuter_pass {
static int n, m, s, t, u, v;
static ArrayList<Edge>[] arr;
static long[] fromU, fromV;
public static void main(String[] args) throws IOException{
BufferedReader file = new BufferedReader(new InputStreamReader(System.in));
//BufferedReader file = new BufferedReader(new FileReader("file.in"));
StringTokenizer st = new StringTokenizer(file.readLine());
n = Integer.parseInt(st.nextToken());
m = Integer.parseInt(st.nextToken());
st = new StringTokenizer(file.readLine());
s = Integer.parseInt(st.nextToken())-1;
t = Integer.parseInt(st.nextToken())-1;
st = new StringTokenizer(file.readLine());
u = Integer.parseInt(st.nextToken())-1;
v = Integer.parseInt(st.nextToken())-1;
arr = new ArrayList[n];
for (int i=0; i<n; i++){
arr[i] = new ArrayList<>();
}
for (int i=0; i<m; i++){
st = new StringTokenizer(file.readLine());
int s = Integer.parseInt(st.nextToken())-1;
int e = Integer.parseInt(st.nextToken())-1;
int c = Integer.parseInt(st.nextToken());
arr[s].add(new Edge(e, c));
arr[e].add(new Edge(s, c));
}
fromU = new long[n];
fromV = new long[n];
dij(u, fromU);
dij(v, fromV);
/*for (long i : fromV){
System.out.println(i);
}*/
long a = dij2(s, t);
long b = dij2(t, s);
long ans = Math.min(fromU[v], Math.min(a, b));
System.out.println(ans);
}
public static void dij(int start, long[] dist){
PriorityQueue<State> pq = new PriorityQueue<>();
Arrays.fill(dist, (long)1e18);
pq.add(new State(start, -1, 0));
dist[start] = 0;
while (!pq.isEmpty()){
State curr = pq.poll();
if (dist[curr.id] != curr.cost){
continue;
}
for (Edge i : arr[curr.id]){
if (curr.cost + i.cost < dist[i.id]){
dist[i.id] = curr.cost + i.cost;
pq.add(new State(i.id, curr.id, curr.cost + i.cost));
}
}
}
}
public static long dij2(int start, int end){
long[] dist = new long[n];
long[] dpU = new long[n];
long[] dpV = new long[n];
PriorityQueue<State> pq = new PriorityQueue<>();
Arrays.fill(dist, (long)1e18);
Arrays.fill(dpU, (long)1e18);
Arrays.fill(dpV, (long)1e18);
boolean[] used = new boolean[n];
pq.add(new State(start, start, 0));
dist[start] = 0;
dpV[start] = fromV[start];
dpU[start] = fromU[start];
while (!pq.isEmpty()){
State curr = pq.poll();
if (dist[curr.id] != curr.cost){
continue;
}
if (!used[curr.id]){
used[curr.id] = true;
for (Edge i : arr[curr.id]){
if (curr.cost + i.cost <= dist[i.id]){
dist[i.id] = curr.cost + i.cost;
pq.add(new State(i.id, curr.id, curr.cost + i.cost));
}
}
}
if (dist[curr.id] == curr.cost){ // Is on SP
// 2 options, take DP value from parent, or go directly to u or v from curr node.
if (dpV[curr.id] + dpU[curr.id] > Math.min(fromV[curr.id], dpV[curr.par]) + Math.min(fromU[curr.id], dpU[curr.par])){
dpV[curr.id] = Math.min(fromV[curr.id], dpV[curr.par]);
dpU[curr.id] = Math.min(fromU[curr.id], dpU[curr.par]);
}
}
}
return dpV[end] + dpU[end];
}
static class State implements Comparable<State>{
int id, par;
long cost;
public State(int id, int par, long cost){
this.id = id;
this.par = par;
this.cost = cost;
}
public int compareTo(State o){
return Long.compare(this.cost, o.cost);
}
}
static class Edge{
int id;
long cost;
public Edge(int id, long cost){
this.id = id;
this.cost = cost;
}
}
}
Compilation message
Note: commuter_pass.java uses unchecked or unsafe operations.
Note: Recompile with -Xlint:unchecked for details.
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1535 ms |
48580 KB |
Output is correct |
2 |
Correct |
1546 ms |
50452 KB |
Output is correct |
3 |
Correct |
1517 ms |
47408 KB |
Output is correct |
4 |
Correct |
1600 ms |
52536 KB |
Output is correct |
5 |
Correct |
1534 ms |
50500 KB |
Output is correct |
6 |
Correct |
1464 ms |
47240 KB |
Output is correct |
7 |
Correct |
1498 ms |
47980 KB |
Output is correct |
8 |
Correct |
1441 ms |
48164 KB |
Output is correct |
9 |
Correct |
1469 ms |
46148 KB |
Output is correct |
10 |
Correct |
1529 ms |
49796 KB |
Output is correct |
11 |
Correct |
1078 ms |
39216 KB |
Output is correct |
12 |
Correct |
1496 ms |
50740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1530 ms |
48560 KB |
Output is correct |
2 |
Correct |
1515 ms |
54328 KB |
Output is correct |
3 |
Correct |
1460 ms |
54656 KB |
Output is correct |
4 |
Correct |
1482 ms |
54308 KB |
Output is correct |
5 |
Correct |
1466 ms |
53600 KB |
Output is correct |
6 |
Correct |
1437 ms |
46624 KB |
Output is correct |
7 |
Correct |
1480 ms |
53728 KB |
Output is correct |
8 |
Correct |
1509 ms |
53968 KB |
Output is correct |
9 |
Correct |
1484 ms |
53480 KB |
Output is correct |
10 |
Correct |
1512 ms |
54496 KB |
Output is correct |
11 |
Correct |
1004 ms |
40620 KB |
Output is correct |
12 |
Correct |
1499 ms |
50520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
548 ms |
17264 KB |
Output is correct |
2 |
Correct |
121 ms |
9136 KB |
Output is correct |
3 |
Correct |
118 ms |
9232 KB |
Output is correct |
4 |
Correct |
542 ms |
18856 KB |
Output is correct |
5 |
Correct |
527 ms |
16420 KB |
Output is correct |
6 |
Correct |
216 ms |
11912 KB |
Output is correct |
7 |
Correct |
246 ms |
12524 KB |
Output is correct |
8 |
Correct |
286 ms |
13024 KB |
Output is correct |
9 |
Correct |
218 ms |
12156 KB |
Output is correct |
10 |
Correct |
496 ms |
16340 KB |
Output is correct |
11 |
Correct |
96 ms |
8680 KB |
Output is correct |
12 |
Correct |
101 ms |
8604 KB |
Output is correct |
13 |
Correct |
112 ms |
8796 KB |
Output is correct |
14 |
Correct |
182 ms |
11664 KB |
Output is correct |
15 |
Correct |
201 ms |
11948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1535 ms |
48580 KB |
Output is correct |
2 |
Correct |
1546 ms |
50452 KB |
Output is correct |
3 |
Correct |
1517 ms |
47408 KB |
Output is correct |
4 |
Correct |
1600 ms |
52536 KB |
Output is correct |
5 |
Correct |
1534 ms |
50500 KB |
Output is correct |
6 |
Correct |
1464 ms |
47240 KB |
Output is correct |
7 |
Correct |
1498 ms |
47980 KB |
Output is correct |
8 |
Correct |
1441 ms |
48164 KB |
Output is correct |
9 |
Correct |
1469 ms |
46148 KB |
Output is correct |
10 |
Correct |
1529 ms |
49796 KB |
Output is correct |
11 |
Correct |
1078 ms |
39216 KB |
Output is correct |
12 |
Correct |
1496 ms |
50740 KB |
Output is correct |
13 |
Correct |
1530 ms |
48560 KB |
Output is correct |
14 |
Correct |
1515 ms |
54328 KB |
Output is correct |
15 |
Correct |
1460 ms |
54656 KB |
Output is correct |
16 |
Correct |
1482 ms |
54308 KB |
Output is correct |
17 |
Correct |
1466 ms |
53600 KB |
Output is correct |
18 |
Correct |
1437 ms |
46624 KB |
Output is correct |
19 |
Correct |
1480 ms |
53728 KB |
Output is correct |
20 |
Correct |
1509 ms |
53968 KB |
Output is correct |
21 |
Correct |
1484 ms |
53480 KB |
Output is correct |
22 |
Correct |
1512 ms |
54496 KB |
Output is correct |
23 |
Correct |
1004 ms |
40620 KB |
Output is correct |
24 |
Correct |
1499 ms |
50520 KB |
Output is correct |
25 |
Correct |
548 ms |
17264 KB |
Output is correct |
26 |
Correct |
121 ms |
9136 KB |
Output is correct |
27 |
Correct |
118 ms |
9232 KB |
Output is correct |
28 |
Correct |
542 ms |
18856 KB |
Output is correct |
29 |
Correct |
527 ms |
16420 KB |
Output is correct |
30 |
Correct |
216 ms |
11912 KB |
Output is correct |
31 |
Correct |
246 ms |
12524 KB |
Output is correct |
32 |
Correct |
286 ms |
13024 KB |
Output is correct |
33 |
Correct |
218 ms |
12156 KB |
Output is correct |
34 |
Correct |
496 ms |
16340 KB |
Output is correct |
35 |
Correct |
96 ms |
8680 KB |
Output is correct |
36 |
Correct |
101 ms |
8604 KB |
Output is correct |
37 |
Correct |
112 ms |
8796 KB |
Output is correct |
38 |
Correct |
182 ms |
11664 KB |
Output is correct |
39 |
Correct |
201 ms |
11948 KB |
Output is correct |
40 |
Correct |
1567 ms |
56232 KB |
Output is correct |
41 |
Correct |
1464 ms |
51268 KB |
Output is correct |
42 |
Correct |
1448 ms |
50540 KB |
Output is correct |
43 |
Correct |
989 ms |
43380 KB |
Output is correct |
44 |
Correct |
980 ms |
43424 KB |
Output is correct |
45 |
Correct |
1483 ms |
54232 KB |
Output is correct |
46 |
Correct |
1494 ms |
54288 KB |
Output is correct |
47 |
Correct |
1646 ms |
58904 KB |
Output is correct |
48 |
Correct |
1137 ms |
42060 KB |
Output is correct |
49 |
Correct |
1626 ms |
64240 KB |
Output is correct |
50 |
Correct |
1474 ms |
52872 KB |
Output is correct |
51 |
Correct |
1550 ms |
55876 KB |
Output is correct |