#include <bits/stdc++.h>
#define pb push_back
#define F first
#define S second
using namespace std;
typedef pair < int, int > ii;
const int maxn = 1e5+10, inf = 0x3f3f3f3f;
int n, m, k, q, pai[maxn], peso[maxn], resp[maxn], vist[maxn], cont, nivel[maxn];
ii dist[maxn];
bool npp[maxn];
vector < ii > grafo[maxn];
void dijkstra()
{
priority_queue < int, vector < int >, greater < int > > fila;
for(int i = 1 ; i <= n ; i++)
{
if(npp[i])
{
fila.push(i);
dist[i] = {0, i};
}
else dist[i] = {inf, i};
}
while(fila.size())
{
int u = fila.top();
fila.pop();
for(ii k : grafo[u])
{
int v = k.F;
int cst = k.S;
if(dist[v].F > dist[u].F + cst)
{
fila.push(v);
dist[v].F = dist[u].F + cst;
}
}
}
}
bool cmp(ii a, ii b)
{
return a.F > b.F;
}
int find(int x)
{
if(pai[x] == x) return x;
return find(pai[x]);
}
void join(int u, int v)
{
u = find(u);
v = find(v);
if(u == v) return;
if(peso[u] < peso[v]) swap(u, v);
pai[v] = u, peso[u] += peso[v], resp[v] = cont;
}
void dfs(int x)
{
vist[x] = 1;
if(pai[x] == x)
{
nivel[x] = 0;
return;
}
if(!vist[pai[x]]) dfs(pai[x]);
nivel[x] = nivel[pai[x]] + 1;
}
int get(int u, int v)
{
int ans = 0;
while(u != v)
{
if(nivel[u] > nivel[v]) ans = max(ans, resp[u]), u = pai[u];
else ans = max(ans, resp[v]), v = pai[v];
}
return ans;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
cin >> n >> m;
for(int i = 1 ; i <= m ; i++)
{
int a, b, c;
cin >> a >> b >> c;
grafo[a].pb({b, c});
grafo[b].pb({a, c});
}
memset(npp, false, sizeof npp);
cin >> k;
for(int i = 1 ; i <= k ; i++)
{
int a;
cin >> a;
npp[a] = true;
}
dijkstra();
sort(dist+1, dist+1+n, cmp);
for(int i = 1 ; i <= n ; i++)
{
pai[i] = i;
peso[i] = 1;
resp[i] = 1;
}
for(int i = 1 ; i <= n ; i++)
{
int u = dist[i].S;
cont++;
for(ii k : grafo[u])
{
int v = k.F;
if(vist[v]) join(u, v);
}
vist[u] = 1;
}
memset(vist, 0, sizeof vist);
for(int i = 1 ; i <= n ; i++)
{
if(!vist[i]) dfs(i);
}
cin >> q;
for(int i = 1 ; i <= q ; i++)
{
int a, b;
cin >> a >> b;
cout << dist[get(a, b)].F << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3192 KB |
Output is correct |
2 |
Correct |
5 ms |
3320 KB |
Output is correct |
3 |
Correct |
5 ms |
3192 KB |
Output is correct |
4 |
Correct |
4 ms |
3192 KB |
Output is correct |
5 |
Correct |
5 ms |
3292 KB |
Output is correct |
6 |
Correct |
5 ms |
3192 KB |
Output is correct |
7 |
Correct |
4 ms |
3192 KB |
Output is correct |
8 |
Correct |
4 ms |
3192 KB |
Output is correct |
9 |
Correct |
5 ms |
3272 KB |
Output is correct |
10 |
Correct |
5 ms |
3320 KB |
Output is correct |
11 |
Correct |
5 ms |
3296 KB |
Output is correct |
12 |
Correct |
5 ms |
3320 KB |
Output is correct |
13 |
Correct |
5 ms |
3320 KB |
Output is correct |
14 |
Correct |
5 ms |
3320 KB |
Output is correct |
15 |
Correct |
5 ms |
3320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3192 KB |
Output is correct |
2 |
Correct |
5 ms |
3320 KB |
Output is correct |
3 |
Correct |
5 ms |
3192 KB |
Output is correct |
4 |
Correct |
4 ms |
3192 KB |
Output is correct |
5 |
Correct |
5 ms |
3292 KB |
Output is correct |
6 |
Correct |
5 ms |
3192 KB |
Output is correct |
7 |
Correct |
4 ms |
3192 KB |
Output is correct |
8 |
Correct |
4 ms |
3192 KB |
Output is correct |
9 |
Correct |
5 ms |
3272 KB |
Output is correct |
10 |
Correct |
5 ms |
3320 KB |
Output is correct |
11 |
Correct |
5 ms |
3296 KB |
Output is correct |
12 |
Correct |
5 ms |
3320 KB |
Output is correct |
13 |
Correct |
5 ms |
3320 KB |
Output is correct |
14 |
Correct |
5 ms |
3320 KB |
Output is correct |
15 |
Correct |
5 ms |
3320 KB |
Output is correct |
16 |
Correct |
196 ms |
9200 KB |
Output is correct |
17 |
Correct |
1036 ms |
21836 KB |
Output is correct |
18 |
Correct |
57 ms |
4904 KB |
Output is correct |
19 |
Correct |
176 ms |
9988 KB |
Output is correct |
20 |
Correct |
1057 ms |
21824 KB |
Output is correct |
21 |
Correct |
245 ms |
12444 KB |
Output is correct |
22 |
Correct |
128 ms |
9508 KB |
Output is correct |
23 |
Correct |
931 ms |
21880 KB |
Output is correct |
24 |
Correct |
793 ms |
20004 KB |
Output is correct |
25 |
Correct |
556 ms |
20008 KB |
Output is correct |
26 |
Correct |
121 ms |
9732 KB |
Output is correct |
27 |
Correct |
121 ms |
9916 KB |
Output is correct |
28 |
Correct |
142 ms |
9848 KB |
Output is correct |
29 |
Correct |
139 ms |
9960 KB |
Output is correct |
30 |
Correct |
121 ms |
9952 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3192 KB |
Output is correct |
2 |
Correct |
4 ms |
3192 KB |
Output is correct |
3 |
Correct |
4 ms |
3192 KB |
Output is correct |
4 |
Correct |
4 ms |
3192 KB |
Output is correct |
5 |
Correct |
4 ms |
3192 KB |
Output is correct |
6 |
Correct |
4 ms |
3192 KB |
Output is correct |
7 |
Correct |
4 ms |
3192 KB |
Output is correct |
8 |
Correct |
4 ms |
3192 KB |
Output is correct |
9 |
Correct |
4 ms |
3192 KB |
Output is correct |
10 |
Correct |
4 ms |
3192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
422 ms |
12248 KB |
Output is correct |
2 |
Correct |
913 ms |
21744 KB |
Output is correct |
3 |
Correct |
913 ms |
21840 KB |
Output is correct |
4 |
Correct |
92 ms |
8668 KB |
Output is correct |
5 |
Correct |
880 ms |
19840 KB |
Output is correct |
6 |
Correct |
850 ms |
19788 KB |
Output is correct |
7 |
Correct |
718 ms |
19720 KB |
Output is correct |
8 |
Correct |
820 ms |
21804 KB |
Output is correct |
9 |
Correct |
913 ms |
21796 KB |
Output is correct |
10 |
Correct |
880 ms |
21796 KB |
Output is correct |
11 |
Correct |
919 ms |
21864 KB |
Output is correct |
12 |
Correct |
678 ms |
19808 KB |
Output is correct |
13 |
Correct |
639 ms |
19732 KB |
Output is correct |
14 |
Correct |
538 ms |
19772 KB |
Output is correct |
15 |
Correct |
498 ms |
19616 KB |
Output is correct |
16 |
Correct |
628 ms |
19716 KB |
Output is correct |
17 |
Correct |
708 ms |
19808 KB |
Output is correct |
18 |
Correct |
906 ms |
21876 KB |
Output is correct |
19 |
Correct |
90 ms |
8676 KB |
Output is correct |
20 |
Correct |
804 ms |
19736 KB |
Output is correct |
21 |
Correct |
421 ms |
19716 KB |
Output is correct |
22 |
Correct |
103 ms |
9560 KB |
Output is correct |
23 |
Correct |
104 ms |
9172 KB |
Output is correct |
24 |
Correct |
88 ms |
9568 KB |
Output is correct |
25 |
Correct |
104 ms |
9732 KB |
Output is correct |
26 |
Correct |
108 ms |
9208 KB |
Output is correct |
27 |
Correct |
91 ms |
8700 KB |
Output is correct |
28 |
Correct |
89 ms |
9592 KB |
Output is correct |
29 |
Correct |
90 ms |
8692 KB |
Output is correct |
30 |
Correct |
90 ms |
9564 KB |
Output is correct |
31 |
Correct |
96 ms |
8668 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3192 KB |
Output is correct |
2 |
Correct |
5 ms |
3320 KB |
Output is correct |
3 |
Correct |
5 ms |
3192 KB |
Output is correct |
4 |
Correct |
4 ms |
3192 KB |
Output is correct |
5 |
Correct |
5 ms |
3292 KB |
Output is correct |
6 |
Correct |
5 ms |
3192 KB |
Output is correct |
7 |
Correct |
4 ms |
3192 KB |
Output is correct |
8 |
Correct |
4 ms |
3192 KB |
Output is correct |
9 |
Correct |
5 ms |
3272 KB |
Output is correct |
10 |
Correct |
5 ms |
3320 KB |
Output is correct |
11 |
Correct |
5 ms |
3296 KB |
Output is correct |
12 |
Correct |
5 ms |
3320 KB |
Output is correct |
13 |
Correct |
5 ms |
3320 KB |
Output is correct |
14 |
Correct |
5 ms |
3320 KB |
Output is correct |
15 |
Correct |
5 ms |
3320 KB |
Output is correct |
16 |
Correct |
196 ms |
9200 KB |
Output is correct |
17 |
Correct |
1036 ms |
21836 KB |
Output is correct |
18 |
Correct |
57 ms |
4904 KB |
Output is correct |
19 |
Correct |
176 ms |
9988 KB |
Output is correct |
20 |
Correct |
1057 ms |
21824 KB |
Output is correct |
21 |
Correct |
245 ms |
12444 KB |
Output is correct |
22 |
Correct |
128 ms |
9508 KB |
Output is correct |
23 |
Correct |
931 ms |
21880 KB |
Output is correct |
24 |
Correct |
793 ms |
20004 KB |
Output is correct |
25 |
Correct |
556 ms |
20008 KB |
Output is correct |
26 |
Correct |
121 ms |
9732 KB |
Output is correct |
27 |
Correct |
121 ms |
9916 KB |
Output is correct |
28 |
Correct |
142 ms |
9848 KB |
Output is correct |
29 |
Correct |
139 ms |
9960 KB |
Output is correct |
30 |
Correct |
121 ms |
9952 KB |
Output is correct |
31 |
Correct |
4 ms |
3192 KB |
Output is correct |
32 |
Correct |
4 ms |
3192 KB |
Output is correct |
33 |
Correct |
4 ms |
3192 KB |
Output is correct |
34 |
Correct |
4 ms |
3192 KB |
Output is correct |
35 |
Correct |
4 ms |
3192 KB |
Output is correct |
36 |
Correct |
4 ms |
3192 KB |
Output is correct |
37 |
Correct |
4 ms |
3192 KB |
Output is correct |
38 |
Correct |
4 ms |
3192 KB |
Output is correct |
39 |
Correct |
4 ms |
3192 KB |
Output is correct |
40 |
Correct |
4 ms |
3192 KB |
Output is correct |
41 |
Correct |
422 ms |
12248 KB |
Output is correct |
42 |
Correct |
913 ms |
21744 KB |
Output is correct |
43 |
Correct |
913 ms |
21840 KB |
Output is correct |
44 |
Correct |
92 ms |
8668 KB |
Output is correct |
45 |
Correct |
880 ms |
19840 KB |
Output is correct |
46 |
Correct |
850 ms |
19788 KB |
Output is correct |
47 |
Correct |
718 ms |
19720 KB |
Output is correct |
48 |
Correct |
820 ms |
21804 KB |
Output is correct |
49 |
Correct |
913 ms |
21796 KB |
Output is correct |
50 |
Correct |
880 ms |
21796 KB |
Output is correct |
51 |
Correct |
919 ms |
21864 KB |
Output is correct |
52 |
Correct |
678 ms |
19808 KB |
Output is correct |
53 |
Correct |
639 ms |
19732 KB |
Output is correct |
54 |
Correct |
538 ms |
19772 KB |
Output is correct |
55 |
Correct |
498 ms |
19616 KB |
Output is correct |
56 |
Correct |
628 ms |
19716 KB |
Output is correct |
57 |
Correct |
708 ms |
19808 KB |
Output is correct |
58 |
Correct |
906 ms |
21876 KB |
Output is correct |
59 |
Correct |
90 ms |
8676 KB |
Output is correct |
60 |
Correct |
804 ms |
19736 KB |
Output is correct |
61 |
Correct |
421 ms |
19716 KB |
Output is correct |
62 |
Correct |
103 ms |
9560 KB |
Output is correct |
63 |
Correct |
104 ms |
9172 KB |
Output is correct |
64 |
Correct |
88 ms |
9568 KB |
Output is correct |
65 |
Correct |
104 ms |
9732 KB |
Output is correct |
66 |
Correct |
108 ms |
9208 KB |
Output is correct |
67 |
Correct |
91 ms |
8700 KB |
Output is correct |
68 |
Correct |
89 ms |
9592 KB |
Output is correct |
69 |
Correct |
90 ms |
8692 KB |
Output is correct |
70 |
Correct |
90 ms |
9564 KB |
Output is correct |
71 |
Correct |
96 ms |
8668 KB |
Output is correct |
72 |
Correct |
426 ms |
12688 KB |
Output is correct |
73 |
Correct |
895 ms |
20068 KB |
Output is correct |
74 |
Correct |
812 ms |
20124 KB |
Output is correct |
75 |
Correct |
1020 ms |
21812 KB |
Output is correct |
76 |
Correct |
831 ms |
20132 KB |
Output is correct |
77 |
Correct |
762 ms |
20060 KB |
Output is correct |
78 |
Correct |
878 ms |
21772 KB |
Output is correct |
79 |
Correct |
909 ms |
21816 KB |
Output is correct |
80 |
Correct |
857 ms |
21768 KB |
Output is correct |
81 |
Correct |
892 ms |
21872 KB |
Output is correct |
82 |
Correct |
700 ms |
20192 KB |
Output is correct |
83 |
Correct |
676 ms |
20096 KB |
Output is correct |
84 |
Correct |
576 ms |
20072 KB |
Output is correct |
85 |
Correct |
550 ms |
20064 KB |
Output is correct |
86 |
Correct |
634 ms |
20100 KB |
Output is correct |
87 |
Correct |
804 ms |
20192 KB |
Output is correct |
88 |
Correct |
898 ms |
21868 KB |
Output is correct |
89 |
Correct |
125 ms |
9628 KB |
Output is correct |
90 |
Correct |
870 ms |
21804 KB |
Output is correct |
91 |
Correct |
481 ms |
19824 KB |
Output is correct |
92 |
Correct |
119 ms |
9936 KB |
Output is correct |
93 |
Correct |
136 ms |
9848 KB |
Output is correct |
94 |
Correct |
120 ms |
9772 KB |
Output is correct |
95 |
Correct |
117 ms |
9916 KB |
Output is correct |
96 |
Correct |
140 ms |
9464 KB |
Output is correct |
97 |
Correct |
123 ms |
9208 KB |
Output is correct |
98 |
Correct |
120 ms |
9732 KB |
Output is correct |
99 |
Correct |
117 ms |
9208 KB |
Output is correct |
100 |
Correct |
117 ms |
10004 KB |
Output is correct |