#include<bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
vector<pair<int, int>> g[N];
vector<int> newg[N];
int d[N], p[N], par[N], idx, h[N], e[2 * N], l[2 * N], tree[8 * N];
bool vis[N];
bool cmp(pair<int, int> a, pair<int, int> b){
return (a.first > b.first);
}
int get(int u){
if(u == p[u])return u;
return p[u] = get(p[u]);
}
void unite(int u, int v){
int pu = get(u), pv = get(v);
if(pu != pv){
p[pv] = pu;
newg[u].push_back(v);
newg[v].push_back(u);
}
}
void dfs(int u, int depth){
h[u] = idx;
e[idx] = u;
l[idx] = depth; idx++;
for(int v : newg[u]){
if(v == par[u])continue;
dfs(v, depth + 1);
e[idx] = u;
l[idx] = depth; idx++;
}
}
void build(int v, int L, int R){
if(L == R){
tree[v] = L;
return;
}
int mid = (L + R) / 2;
build(v * 2, L, mid);
build(v * 2 + 1, mid + 1, R);
if(l[tree[v * 2]] > l[tree[v * 2 + 1]])tree[v] = tree[v * 2 + 1];
else tree[v] = tree[v * 2];
return;
}
int query(int v, int L, int R, int ql, int qr){
if(ql > R || qr < L)return -1;
if(ql <= L && qr >= R)return tree[v];
int mid = (L + R) / 2;
int p1 = query(v * 2, L, mid, ql, qr), p2 = query(v * 2 + 1, mid + 1, R, ql, qr);
if(p1 == -1)return p2;
if(p2 == -1)return p1;
if(l[p1] > l[p2])return p2;
else return p1;
}
int main(){
int n, m, k;
cin >> n >> m;
memset(d, 0x3f3f3f3f, sizeof d);
for(int i = 1; i <= n; i++)p[i] = i;
for(int i = 0; i < m; i++){
int u, v, w;
cin >> u >> v >> w;
g[u].push_back({v, w});
g[v].push_back({u, w});
}
cin >> k;
set<pair<int, int>> s;
for(int i = 0; i < k; i++){
int loc;
cin >> loc;
d[loc] = 0;
s.insert({0, loc});
}
while(!s.empty()){
pair<int, int> x = *s.begin(); s.erase(s.begin());
int u = x.second;
for(auto vw : g[u]){
int v = vw.first, w = vw.second;
if(d[v] > d[u] + w){
d[v] = d[u] + w;
s.insert({d[v], v});
}
}
}
vector<pair<int, int>> v;
for(int i = 1; i <= n; i++){
v.push_back({d[i], i});
}
sort(v.begin(), v.end(), cmp);
int root = -1;
for(auto x : v){
int u = x.second;
vis[u] = 1;
root = u;
for(auto y : g[u]){
int to = y.first;
if(vis[to]){
to = get(to);
if(u != to){
unite(u, to);
par[to] = u;
}
}
}
}
dfs(root, 0);
build(1, 0, idx - 1);
int q;
cin >> q;
while(q--){
int u, v;
cin >> u >> v;
int ql = h[u], qr = h[v];
if(ql > qr)swap(ql, qr);
cout << d[e[query(1, 0, idx - 1, ql, qr)]] << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
5496 KB |
Output is correct |
2 |
Correct |
12 ms |
5624 KB |
Output is correct |
3 |
Correct |
12 ms |
5624 KB |
Output is correct |
4 |
Correct |
6 ms |
5496 KB |
Output is correct |
5 |
Correct |
12 ms |
5624 KB |
Output is correct |
6 |
Correct |
12 ms |
5624 KB |
Output is correct |
7 |
Correct |
7 ms |
5496 KB |
Output is correct |
8 |
Correct |
7 ms |
5496 KB |
Output is correct |
9 |
Correct |
12 ms |
5624 KB |
Output is correct |
10 |
Correct |
13 ms |
5628 KB |
Output is correct |
11 |
Correct |
12 ms |
5624 KB |
Output is correct |
12 |
Correct |
12 ms |
5624 KB |
Output is correct |
13 |
Correct |
12 ms |
5624 KB |
Output is correct |
14 |
Correct |
12 ms |
5624 KB |
Output is correct |
15 |
Correct |
13 ms |
5624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
5496 KB |
Output is correct |
2 |
Correct |
12 ms |
5624 KB |
Output is correct |
3 |
Correct |
12 ms |
5624 KB |
Output is correct |
4 |
Correct |
6 ms |
5496 KB |
Output is correct |
5 |
Correct |
12 ms |
5624 KB |
Output is correct |
6 |
Correct |
12 ms |
5624 KB |
Output is correct |
7 |
Correct |
7 ms |
5496 KB |
Output is correct |
8 |
Correct |
7 ms |
5496 KB |
Output is correct |
9 |
Correct |
12 ms |
5624 KB |
Output is correct |
10 |
Correct |
13 ms |
5628 KB |
Output is correct |
11 |
Correct |
12 ms |
5624 KB |
Output is correct |
12 |
Correct |
12 ms |
5624 KB |
Output is correct |
13 |
Correct |
12 ms |
5624 KB |
Output is correct |
14 |
Correct |
12 ms |
5624 KB |
Output is correct |
15 |
Correct |
13 ms |
5624 KB |
Output is correct |
16 |
Correct |
750 ms |
21136 KB |
Output is correct |
17 |
Correct |
1757 ms |
37284 KB |
Output is correct |
18 |
Correct |
130 ms |
8920 KB |
Output is correct |
19 |
Correct |
748 ms |
22000 KB |
Output is correct |
20 |
Correct |
1783 ms |
37196 KB |
Output is correct |
21 |
Correct |
1044 ms |
28328 KB |
Output is correct |
22 |
Correct |
730 ms |
27564 KB |
Output is correct |
23 |
Correct |
1794 ms |
37264 KB |
Output is correct |
24 |
Correct |
1815 ms |
37084 KB |
Output is correct |
25 |
Correct |
1819 ms |
37216 KB |
Output is correct |
26 |
Correct |
732 ms |
21728 KB |
Output is correct |
27 |
Correct |
725 ms |
21736 KB |
Output is correct |
28 |
Correct |
746 ms |
21856 KB |
Output is correct |
29 |
Correct |
727 ms |
21752 KB |
Output is correct |
30 |
Correct |
732 ms |
22116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
5496 KB |
Output is correct |
2 |
Correct |
7 ms |
5496 KB |
Output is correct |
3 |
Correct |
7 ms |
5412 KB |
Output is correct |
4 |
Correct |
5 ms |
5488 KB |
Output is correct |
5 |
Correct |
7 ms |
5496 KB |
Output is correct |
6 |
Correct |
14 ms |
5496 KB |
Output is correct |
7 |
Correct |
7 ms |
5496 KB |
Output is correct |
8 |
Correct |
7 ms |
5460 KB |
Output is correct |
9 |
Correct |
7 ms |
5496 KB |
Output is correct |
10 |
Correct |
7 ms |
5368 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
581 ms |
26960 KB |
Output is correct |
2 |
Correct |
1318 ms |
36716 KB |
Output is correct |
3 |
Correct |
1327 ms |
36780 KB |
Output is correct |
4 |
Correct |
273 ms |
22116 KB |
Output is correct |
5 |
Correct |
1305 ms |
36820 KB |
Output is correct |
6 |
Correct |
1310 ms |
36800 KB |
Output is correct |
7 |
Correct |
1385 ms |
36828 KB |
Output is correct |
8 |
Correct |
1444 ms |
36780 KB |
Output is correct |
9 |
Correct |
1342 ms |
36744 KB |
Output is correct |
10 |
Correct |
1298 ms |
36768 KB |
Output is correct |
11 |
Correct |
1297 ms |
37104 KB |
Output is correct |
12 |
Correct |
1310 ms |
36948 KB |
Output is correct |
13 |
Correct |
1284 ms |
36788 KB |
Output is correct |
14 |
Correct |
1279 ms |
36788 KB |
Output is correct |
15 |
Correct |
1306 ms |
36832 KB |
Output is correct |
16 |
Correct |
1298 ms |
37040 KB |
Output is correct |
17 |
Correct |
1324 ms |
36924 KB |
Output is correct |
18 |
Correct |
1329 ms |
36740 KB |
Output is correct |
19 |
Correct |
279 ms |
25328 KB |
Output is correct |
20 |
Correct |
1319 ms |
36904 KB |
Output is correct |
21 |
Correct |
1203 ms |
36872 KB |
Output is correct |
22 |
Correct |
282 ms |
20244 KB |
Output is correct |
23 |
Correct |
276 ms |
20876 KB |
Output is correct |
24 |
Correct |
306 ms |
20400 KB |
Output is correct |
25 |
Correct |
288 ms |
20244 KB |
Output is correct |
26 |
Correct |
293 ms |
19996 KB |
Output is correct |
27 |
Correct |
264 ms |
22256 KB |
Output is correct |
28 |
Correct |
314 ms |
20296 KB |
Output is correct |
29 |
Correct |
265 ms |
22128 KB |
Output is correct |
30 |
Correct |
276 ms |
20240 KB |
Output is correct |
31 |
Correct |
262 ms |
22184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
5496 KB |
Output is correct |
2 |
Correct |
12 ms |
5624 KB |
Output is correct |
3 |
Correct |
12 ms |
5624 KB |
Output is correct |
4 |
Correct |
6 ms |
5496 KB |
Output is correct |
5 |
Correct |
12 ms |
5624 KB |
Output is correct |
6 |
Correct |
12 ms |
5624 KB |
Output is correct |
7 |
Correct |
7 ms |
5496 KB |
Output is correct |
8 |
Correct |
7 ms |
5496 KB |
Output is correct |
9 |
Correct |
12 ms |
5624 KB |
Output is correct |
10 |
Correct |
13 ms |
5628 KB |
Output is correct |
11 |
Correct |
12 ms |
5624 KB |
Output is correct |
12 |
Correct |
12 ms |
5624 KB |
Output is correct |
13 |
Correct |
12 ms |
5624 KB |
Output is correct |
14 |
Correct |
12 ms |
5624 KB |
Output is correct |
15 |
Correct |
13 ms |
5624 KB |
Output is correct |
16 |
Correct |
750 ms |
21136 KB |
Output is correct |
17 |
Correct |
1757 ms |
37284 KB |
Output is correct |
18 |
Correct |
130 ms |
8920 KB |
Output is correct |
19 |
Correct |
748 ms |
22000 KB |
Output is correct |
20 |
Correct |
1783 ms |
37196 KB |
Output is correct |
21 |
Correct |
1044 ms |
28328 KB |
Output is correct |
22 |
Correct |
730 ms |
27564 KB |
Output is correct |
23 |
Correct |
1794 ms |
37264 KB |
Output is correct |
24 |
Correct |
1815 ms |
37084 KB |
Output is correct |
25 |
Correct |
1819 ms |
37216 KB |
Output is correct |
26 |
Correct |
732 ms |
21728 KB |
Output is correct |
27 |
Correct |
725 ms |
21736 KB |
Output is correct |
28 |
Correct |
746 ms |
21856 KB |
Output is correct |
29 |
Correct |
727 ms |
21752 KB |
Output is correct |
30 |
Correct |
732 ms |
22116 KB |
Output is correct |
31 |
Correct |
7 ms |
5496 KB |
Output is correct |
32 |
Correct |
7 ms |
5496 KB |
Output is correct |
33 |
Correct |
7 ms |
5412 KB |
Output is correct |
34 |
Correct |
5 ms |
5488 KB |
Output is correct |
35 |
Correct |
7 ms |
5496 KB |
Output is correct |
36 |
Correct |
14 ms |
5496 KB |
Output is correct |
37 |
Correct |
7 ms |
5496 KB |
Output is correct |
38 |
Correct |
7 ms |
5460 KB |
Output is correct |
39 |
Correct |
7 ms |
5496 KB |
Output is correct |
40 |
Correct |
7 ms |
5368 KB |
Output is correct |
41 |
Correct |
581 ms |
26960 KB |
Output is correct |
42 |
Correct |
1318 ms |
36716 KB |
Output is correct |
43 |
Correct |
1327 ms |
36780 KB |
Output is correct |
44 |
Correct |
273 ms |
22116 KB |
Output is correct |
45 |
Correct |
1305 ms |
36820 KB |
Output is correct |
46 |
Correct |
1310 ms |
36800 KB |
Output is correct |
47 |
Correct |
1385 ms |
36828 KB |
Output is correct |
48 |
Correct |
1444 ms |
36780 KB |
Output is correct |
49 |
Correct |
1342 ms |
36744 KB |
Output is correct |
50 |
Correct |
1298 ms |
36768 KB |
Output is correct |
51 |
Correct |
1297 ms |
37104 KB |
Output is correct |
52 |
Correct |
1310 ms |
36948 KB |
Output is correct |
53 |
Correct |
1284 ms |
36788 KB |
Output is correct |
54 |
Correct |
1279 ms |
36788 KB |
Output is correct |
55 |
Correct |
1306 ms |
36832 KB |
Output is correct |
56 |
Correct |
1298 ms |
37040 KB |
Output is correct |
57 |
Correct |
1324 ms |
36924 KB |
Output is correct |
58 |
Correct |
1329 ms |
36740 KB |
Output is correct |
59 |
Correct |
279 ms |
25328 KB |
Output is correct |
60 |
Correct |
1319 ms |
36904 KB |
Output is correct |
61 |
Correct |
1203 ms |
36872 KB |
Output is correct |
62 |
Correct |
282 ms |
20244 KB |
Output is correct |
63 |
Correct |
276 ms |
20876 KB |
Output is correct |
64 |
Correct |
306 ms |
20400 KB |
Output is correct |
65 |
Correct |
288 ms |
20244 KB |
Output is correct |
66 |
Correct |
293 ms |
19996 KB |
Output is correct |
67 |
Correct |
264 ms |
22256 KB |
Output is correct |
68 |
Correct |
314 ms |
20296 KB |
Output is correct |
69 |
Correct |
265 ms |
22128 KB |
Output is correct |
70 |
Correct |
276 ms |
20240 KB |
Output is correct |
71 |
Correct |
262 ms |
22184 KB |
Output is correct |
72 |
Correct |
1053 ms |
28860 KB |
Output is correct |
73 |
Correct |
1766 ms |
41980 KB |
Output is correct |
74 |
Correct |
1783 ms |
42136 KB |
Output is correct |
75 |
Correct |
1753 ms |
41984 KB |
Output is correct |
76 |
Correct |
1781 ms |
42112 KB |
Output is correct |
77 |
Correct |
1792 ms |
42080 KB |
Output is correct |
78 |
Correct |
1794 ms |
42064 KB |
Output is correct |
79 |
Correct |
1818 ms |
41948 KB |
Output is correct |
80 |
Correct |
1807 ms |
42012 KB |
Output is correct |
81 |
Correct |
1817 ms |
42076 KB |
Output is correct |
82 |
Correct |
1811 ms |
41816 KB |
Output is correct |
83 |
Correct |
1769 ms |
42092 KB |
Output is correct |
84 |
Correct |
1853 ms |
41992 KB |
Output is correct |
85 |
Correct |
1788 ms |
41880 KB |
Output is correct |
86 |
Correct |
1809 ms |
41964 KB |
Output is correct |
87 |
Correct |
1799 ms |
41916 KB |
Output is correct |
88 |
Correct |
1788 ms |
41964 KB |
Output is correct |
89 |
Correct |
712 ms |
27376 KB |
Output is correct |
90 |
Correct |
1789 ms |
41920 KB |
Output is correct |
91 |
Correct |
1696 ms |
42084 KB |
Output is correct |
92 |
Correct |
755 ms |
21784 KB |
Output is correct |
93 |
Correct |
756 ms |
22948 KB |
Output is correct |
94 |
Correct |
755 ms |
21692 KB |
Output is correct |
95 |
Correct |
745 ms |
21796 KB |
Output is correct |
96 |
Correct |
753 ms |
21360 KB |
Output is correct |
97 |
Correct |
730 ms |
23920 KB |
Output is correct |
98 |
Correct |
753 ms |
21888 KB |
Output is correct |
99 |
Correct |
715 ms |
23952 KB |
Output is correct |
100 |
Correct |
739 ms |
21900 KB |
Output is correct |