#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
using namespace std;
int n, m, k, q;
const int INF = 1e9;
vector<pair<int, int>> adj[100005];
int dist[100005];
priority_queue<pair<int, int>> pq;
vector<int> qry[100005], parent;
vector<int> moment[100005], minm[100005];
int hei[100005], minn[100005], tin[100005];
void init()
{
parent.resize(n + 1);
for(int i = 1; i <= n; i++)
parent[i] = i, hei[i] = 1, tin[i] = 0, minn[i] = dist[i];
}
int cauta(int u, int timer)
{
if(parent[u] == u || tin[u] > timer)
return u;
return cauta(parent[u], timer);
}
bool cmp(int a, int b)
{
return dist[a] > dist[b];
}
void unite(int u, int v, int t)
{
u = cauta(u, t);
v = cauta(v, t);
if(u == v)
return;
if(hei[u] > hei[v])
swap(u, v);
moment[v].push_back(t);
minn[v] = min(minn[v], minn[u]);
minm[v].push_back(minn[v]);
tin[u] = t;
parent[u] = v;
hei[v] = max(hei[v], hei[u] + 1);
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin>>n>>m;
for(int i = 1; i <= m; i++)
{
int a, b, c;
cin>>a>>b>>c;
adj[a].push_back({b, c});
adj[b].push_back({a, c});
}
cin>>k;
vector<int> aux;
for(int i = 1; i <= n; i++)
dist[i] = INF, aux.push_back(i);
for(int i = 1; i <= k; i++)
{
int a;
cin>>a;
pq.push({0, a});
dist[a] = 0;
}
while(!pq.empty())
{
int nod = pq.top().second;
int d = -pq.top().first;
pq.pop();
if(dist[nod] != d)
continue;
for(auto it : adj[nod])
if(dist[nod] + it.second < dist[it.first])
dist[it.first] = dist[nod] + it.second, pq.push({-dist[it.first], it.first});
}
init();
sort(aux.begin(), aux.end(), cmp);
int cnt = 0;
for(int i = 0; i < n; i++)
{
for(auto it : adj[aux[i]])
if(dist[it.first] >= dist[aux[i]])
unite(it.first, aux[i], ++cnt);
}
cin>>q;
for(int i = 1; i <= q; i++)
{
int a, b;
cin>>a>>b;
int st = 1, dr = cnt, rez, nod;
while(st <= dr)
{
int mij = (st + dr) / 2;
int u = cauta(a, mij), v = cauta(b, mij);
if(u != v) st = mij + 1;
else dr = mij - 1, rez = mij, nod = u;
}
int poz = upper_bound(moment[nod].begin(), moment[nod].end(), rez) - moment[nod].begin();
cout<<min(min(dist[a], dist[b]), minm[nod][poz - 1])<<'\n';
}
return 0;
}
/**
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11096 KB |
Output is correct |
2 |
Correct |
4 ms |
11100 KB |
Output is correct |
3 |
Correct |
3 ms |
11128 KB |
Output is correct |
4 |
Correct |
2 ms |
11248 KB |
Output is correct |
5 |
Correct |
4 ms |
11096 KB |
Output is correct |
6 |
Correct |
4 ms |
11236 KB |
Output is correct |
7 |
Correct |
2 ms |
11100 KB |
Output is correct |
8 |
Correct |
3 ms |
11100 KB |
Output is correct |
9 |
Correct |
4 ms |
11356 KB |
Output is correct |
10 |
Correct |
3 ms |
11260 KB |
Output is correct |
11 |
Correct |
4 ms |
11356 KB |
Output is correct |
12 |
Correct |
3 ms |
11308 KB |
Output is correct |
13 |
Correct |
3 ms |
11100 KB |
Output is correct |
14 |
Correct |
3 ms |
11204 KB |
Output is correct |
15 |
Correct |
3 ms |
11344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11096 KB |
Output is correct |
2 |
Correct |
4 ms |
11100 KB |
Output is correct |
3 |
Correct |
3 ms |
11128 KB |
Output is correct |
4 |
Correct |
2 ms |
11248 KB |
Output is correct |
5 |
Correct |
4 ms |
11096 KB |
Output is correct |
6 |
Correct |
4 ms |
11236 KB |
Output is correct |
7 |
Correct |
2 ms |
11100 KB |
Output is correct |
8 |
Correct |
3 ms |
11100 KB |
Output is correct |
9 |
Correct |
4 ms |
11356 KB |
Output is correct |
10 |
Correct |
3 ms |
11260 KB |
Output is correct |
11 |
Correct |
4 ms |
11356 KB |
Output is correct |
12 |
Correct |
3 ms |
11308 KB |
Output is correct |
13 |
Correct |
3 ms |
11100 KB |
Output is correct |
14 |
Correct |
3 ms |
11204 KB |
Output is correct |
15 |
Correct |
3 ms |
11344 KB |
Output is correct |
16 |
Correct |
108 ms |
19620 KB |
Output is correct |
17 |
Correct |
302 ms |
38168 KB |
Output is correct |
18 |
Correct |
22 ms |
13660 KB |
Output is correct |
19 |
Correct |
95 ms |
21448 KB |
Output is correct |
20 |
Correct |
281 ms |
38312 KB |
Output is correct |
21 |
Correct |
180 ms |
25136 KB |
Output is correct |
22 |
Correct |
92 ms |
20164 KB |
Output is correct |
23 |
Correct |
266 ms |
37968 KB |
Output is correct |
24 |
Correct |
270 ms |
37952 KB |
Output is correct |
25 |
Correct |
325 ms |
37960 KB |
Output is correct |
26 |
Correct |
102 ms |
21248 KB |
Output is correct |
27 |
Correct |
117 ms |
21448 KB |
Output is correct |
28 |
Correct |
107 ms |
21184 KB |
Output is correct |
29 |
Correct |
105 ms |
21204 KB |
Output is correct |
30 |
Correct |
113 ms |
21300 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11100 KB |
Output is correct |
2 |
Correct |
3 ms |
11100 KB |
Output is correct |
3 |
Correct |
2 ms |
11100 KB |
Output is correct |
4 |
Correct |
3 ms |
11100 KB |
Output is correct |
5 |
Correct |
3 ms |
11100 KB |
Output is correct |
6 |
Correct |
3 ms |
11252 KB |
Output is correct |
7 |
Correct |
2 ms |
11244 KB |
Output is correct |
8 |
Correct |
2 ms |
11100 KB |
Output is correct |
9 |
Correct |
3 ms |
11248 KB |
Output is correct |
10 |
Correct |
2 ms |
11100 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
121 ms |
22296 KB |
Output is correct |
2 |
Correct |
262 ms |
36356 KB |
Output is correct |
3 |
Correct |
240 ms |
36492 KB |
Output is correct |
4 |
Correct |
46 ms |
18160 KB |
Output is correct |
5 |
Correct |
255 ms |
36424 KB |
Output is correct |
6 |
Correct |
255 ms |
36384 KB |
Output is correct |
7 |
Correct |
262 ms |
36816 KB |
Output is correct |
8 |
Correct |
225 ms |
36312 KB |
Output is correct |
9 |
Correct |
247 ms |
36396 KB |
Output is correct |
10 |
Correct |
231 ms |
36408 KB |
Output is correct |
11 |
Correct |
222 ms |
36436 KB |
Output is correct |
12 |
Correct |
220 ms |
36496 KB |
Output is correct |
13 |
Correct |
229 ms |
36424 KB |
Output is correct |
14 |
Correct |
220 ms |
36432 KB |
Output is correct |
15 |
Correct |
232 ms |
36688 KB |
Output is correct |
16 |
Correct |
221 ms |
36388 KB |
Output is correct |
17 |
Correct |
227 ms |
36424 KB |
Output is correct |
18 |
Correct |
229 ms |
36540 KB |
Output is correct |
19 |
Correct |
47 ms |
18124 KB |
Output is correct |
20 |
Correct |
230 ms |
36436 KB |
Output is correct |
21 |
Correct |
219 ms |
36568 KB |
Output is correct |
22 |
Correct |
51 ms |
19648 KB |
Output is correct |
23 |
Correct |
60 ms |
19108 KB |
Output is correct |
24 |
Correct |
52 ms |
19652 KB |
Output is correct |
25 |
Correct |
51 ms |
19680 KB |
Output is correct |
26 |
Correct |
62 ms |
19332 KB |
Output is correct |
27 |
Correct |
45 ms |
18116 KB |
Output is correct |
28 |
Correct |
61 ms |
19856 KB |
Output is correct |
29 |
Correct |
44 ms |
18344 KB |
Output is correct |
30 |
Correct |
52 ms |
19652 KB |
Output is correct |
31 |
Correct |
45 ms |
18120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11096 KB |
Output is correct |
2 |
Correct |
4 ms |
11100 KB |
Output is correct |
3 |
Correct |
3 ms |
11128 KB |
Output is correct |
4 |
Correct |
2 ms |
11248 KB |
Output is correct |
5 |
Correct |
4 ms |
11096 KB |
Output is correct |
6 |
Correct |
4 ms |
11236 KB |
Output is correct |
7 |
Correct |
2 ms |
11100 KB |
Output is correct |
8 |
Correct |
3 ms |
11100 KB |
Output is correct |
9 |
Correct |
4 ms |
11356 KB |
Output is correct |
10 |
Correct |
3 ms |
11260 KB |
Output is correct |
11 |
Correct |
4 ms |
11356 KB |
Output is correct |
12 |
Correct |
3 ms |
11308 KB |
Output is correct |
13 |
Correct |
3 ms |
11100 KB |
Output is correct |
14 |
Correct |
3 ms |
11204 KB |
Output is correct |
15 |
Correct |
3 ms |
11344 KB |
Output is correct |
16 |
Correct |
108 ms |
19620 KB |
Output is correct |
17 |
Correct |
302 ms |
38168 KB |
Output is correct |
18 |
Correct |
22 ms |
13660 KB |
Output is correct |
19 |
Correct |
95 ms |
21448 KB |
Output is correct |
20 |
Correct |
281 ms |
38312 KB |
Output is correct |
21 |
Correct |
180 ms |
25136 KB |
Output is correct |
22 |
Correct |
92 ms |
20164 KB |
Output is correct |
23 |
Correct |
266 ms |
37968 KB |
Output is correct |
24 |
Correct |
270 ms |
37952 KB |
Output is correct |
25 |
Correct |
325 ms |
37960 KB |
Output is correct |
26 |
Correct |
102 ms |
21248 KB |
Output is correct |
27 |
Correct |
117 ms |
21448 KB |
Output is correct |
28 |
Correct |
107 ms |
21184 KB |
Output is correct |
29 |
Correct |
105 ms |
21204 KB |
Output is correct |
30 |
Correct |
113 ms |
21300 KB |
Output is correct |
31 |
Correct |
3 ms |
11100 KB |
Output is correct |
32 |
Correct |
3 ms |
11100 KB |
Output is correct |
33 |
Correct |
2 ms |
11100 KB |
Output is correct |
34 |
Correct |
3 ms |
11100 KB |
Output is correct |
35 |
Correct |
3 ms |
11100 KB |
Output is correct |
36 |
Correct |
3 ms |
11252 KB |
Output is correct |
37 |
Correct |
2 ms |
11244 KB |
Output is correct |
38 |
Correct |
2 ms |
11100 KB |
Output is correct |
39 |
Correct |
3 ms |
11248 KB |
Output is correct |
40 |
Correct |
2 ms |
11100 KB |
Output is correct |
41 |
Correct |
121 ms |
22296 KB |
Output is correct |
42 |
Correct |
262 ms |
36356 KB |
Output is correct |
43 |
Correct |
240 ms |
36492 KB |
Output is correct |
44 |
Correct |
46 ms |
18160 KB |
Output is correct |
45 |
Correct |
255 ms |
36424 KB |
Output is correct |
46 |
Correct |
255 ms |
36384 KB |
Output is correct |
47 |
Correct |
262 ms |
36816 KB |
Output is correct |
48 |
Correct |
225 ms |
36312 KB |
Output is correct |
49 |
Correct |
247 ms |
36396 KB |
Output is correct |
50 |
Correct |
231 ms |
36408 KB |
Output is correct |
51 |
Correct |
222 ms |
36436 KB |
Output is correct |
52 |
Correct |
220 ms |
36496 KB |
Output is correct |
53 |
Correct |
229 ms |
36424 KB |
Output is correct |
54 |
Correct |
220 ms |
36432 KB |
Output is correct |
55 |
Correct |
232 ms |
36688 KB |
Output is correct |
56 |
Correct |
221 ms |
36388 KB |
Output is correct |
57 |
Correct |
227 ms |
36424 KB |
Output is correct |
58 |
Correct |
229 ms |
36540 KB |
Output is correct |
59 |
Correct |
47 ms |
18124 KB |
Output is correct |
60 |
Correct |
230 ms |
36436 KB |
Output is correct |
61 |
Correct |
219 ms |
36568 KB |
Output is correct |
62 |
Correct |
51 ms |
19648 KB |
Output is correct |
63 |
Correct |
60 ms |
19108 KB |
Output is correct |
64 |
Correct |
52 ms |
19652 KB |
Output is correct |
65 |
Correct |
51 ms |
19680 KB |
Output is correct |
66 |
Correct |
62 ms |
19332 KB |
Output is correct |
67 |
Correct |
45 ms |
18116 KB |
Output is correct |
68 |
Correct |
61 ms |
19856 KB |
Output is correct |
69 |
Correct |
44 ms |
18344 KB |
Output is correct |
70 |
Correct |
52 ms |
19652 KB |
Output is correct |
71 |
Correct |
45 ms |
18120 KB |
Output is correct |
72 |
Correct |
172 ms |
25580 KB |
Output is correct |
73 |
Correct |
269 ms |
37968 KB |
Output is correct |
74 |
Correct |
303 ms |
38396 KB |
Output is correct |
75 |
Correct |
268 ms |
37960 KB |
Output is correct |
76 |
Correct |
266 ms |
37968 KB |
Output is correct |
77 |
Correct |
270 ms |
38148 KB |
Output is correct |
78 |
Correct |
271 ms |
37960 KB |
Output is correct |
79 |
Correct |
305 ms |
38132 KB |
Output is correct |
80 |
Correct |
269 ms |
38164 KB |
Output is correct |
81 |
Correct |
282 ms |
38216 KB |
Output is correct |
82 |
Correct |
269 ms |
37956 KB |
Output is correct |
83 |
Correct |
276 ms |
38260 KB |
Output is correct |
84 |
Correct |
271 ms |
38172 KB |
Output is correct |
85 |
Correct |
276 ms |
38052 KB |
Output is correct |
86 |
Correct |
292 ms |
38228 KB |
Output is correct |
87 |
Correct |
274 ms |
38128 KB |
Output is correct |
88 |
Correct |
287 ms |
38032 KB |
Output is correct |
89 |
Correct |
93 ms |
20172 KB |
Output is correct |
90 |
Correct |
269 ms |
37964 KB |
Output is correct |
91 |
Correct |
283 ms |
37856 KB |
Output is correct |
92 |
Correct |
98 ms |
21224 KB |
Output is correct |
93 |
Correct |
125 ms |
21064 KB |
Output is correct |
94 |
Correct |
100 ms |
21184 KB |
Output is correct |
95 |
Correct |
96 ms |
21196 KB |
Output is correct |
96 |
Correct |
124 ms |
20880 KB |
Output is correct |
97 |
Correct |
85 ms |
19812 KB |
Output is correct |
98 |
Correct |
98 ms |
21444 KB |
Output is correct |
99 |
Correct |
87 ms |
19696 KB |
Output is correct |
100 |
Correct |
95 ms |
21184 KB |
Output is correct |