# include <bits/stdc++.h>
# define speed ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
# define int long long
# define fi first
# define se second
using namespace std;
const int N = 2e6 + 7;
const int mod = 1e9 + 7;
vector < pair < int, int > > adj[N];
int dist[N], n, m, go, pr[N], ans[N], sz[N];
bool used[N];
set < int > st[N];
int find_set( int a ) {
if ( a == pr[a] ) {
return a;
}
return find_set(pr[a]);
}
void merge( int a, int b, int val ) {
int x = find_set(a);
int y = find_set(b);
if ( x == y ) {
return;
}
if ( sz[x] < sz[y] ) {
swap( x, y );
}
for ( auto i: st[y] ) {
if ( st[x].count(i) ) {
ans[ i ] = val;
}
else {
st[x].insert(i);
}
}
st[y].clear();
pr[y] = x;
sz[x] += sz[y];
}
int32_t main() {
speed;
cin >> n >> m;
for ( int i = 1; i <= m; i++ ) {
int u, v, w;
cin >> u >> v >> w;
adj[u].push_back( { v, w } );
adj[v].push_back( { u, w } );
}
for ( int i = 1; i <= n; i++ ) {
dist[i] = 1e12;
pr[i] = i;
sz[i] = 1;
}
int k;
cin >> k;
set < pair < int, int > > q;
for ( int i = 1; i <= k; i++ ) {
int x;
cin >> x;
q.insert( { 0, x } );
dist[x] = 0;
}
while ( !q.empty() ) {
int v = q.begin()->se;
q.erase( q.begin() );
for ( auto pr: adj[v] ) {
int u = pr.fi, w = pr.se;
if ( dist[u] > dist[v] + w ) {
q.erase( { dist[u], u } );
dist[u] = dist[v] + w;
q.insert( { dist[u], u } );
}
}
}
int qr;
cin >> qr;
for ( int i = 1; i <= qr; i++ ) {
int x, y;
cin >> x >> y;
st[x].insert(i);
st[y].insert(i);
}
vector < pair < int, int > > vc;
for ( int i = 1; i <= n; i++ ) {
vc.push_back( { dist[i], i } );
}
sort( vc.rbegin(), vc.rend() );
for ( int i = 0; i < n; i++ ) {
int x = vc[i].se;
used[x] = 1;
// cout << x << endl;
for ( auto pr: adj[x] ) {
int u = pr.fi;
if ( used[u] ) {
merge( x, u, dist[x] );
}
}
}
for ( int i = 1; i <= qr; i++ ) {
cout << ans[i] << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
141292 KB |
Output is correct |
2 |
Correct |
90 ms |
141548 KB |
Output is correct |
3 |
Correct |
89 ms |
141548 KB |
Output is correct |
4 |
Correct |
87 ms |
141292 KB |
Output is correct |
5 |
Correct |
88 ms |
141552 KB |
Output is correct |
6 |
Correct |
88 ms |
141548 KB |
Output is correct |
7 |
Correct |
88 ms |
141292 KB |
Output is correct |
8 |
Correct |
88 ms |
141516 KB |
Output is correct |
9 |
Correct |
90 ms |
141548 KB |
Output is correct |
10 |
Correct |
89 ms |
141568 KB |
Output is correct |
11 |
Correct |
92 ms |
141548 KB |
Output is correct |
12 |
Correct |
89 ms |
141548 KB |
Output is correct |
13 |
Correct |
89 ms |
141548 KB |
Output is correct |
14 |
Correct |
90 ms |
141676 KB |
Output is correct |
15 |
Correct |
89 ms |
141548 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
141292 KB |
Output is correct |
2 |
Correct |
90 ms |
141548 KB |
Output is correct |
3 |
Correct |
89 ms |
141548 KB |
Output is correct |
4 |
Correct |
87 ms |
141292 KB |
Output is correct |
5 |
Correct |
88 ms |
141552 KB |
Output is correct |
6 |
Correct |
88 ms |
141548 KB |
Output is correct |
7 |
Correct |
88 ms |
141292 KB |
Output is correct |
8 |
Correct |
88 ms |
141516 KB |
Output is correct |
9 |
Correct |
90 ms |
141548 KB |
Output is correct |
10 |
Correct |
89 ms |
141568 KB |
Output is correct |
11 |
Correct |
92 ms |
141548 KB |
Output is correct |
12 |
Correct |
89 ms |
141548 KB |
Output is correct |
13 |
Correct |
89 ms |
141548 KB |
Output is correct |
14 |
Correct |
90 ms |
141676 KB |
Output is correct |
15 |
Correct |
89 ms |
141548 KB |
Output is correct |
16 |
Correct |
470 ms |
163420 KB |
Output is correct |
17 |
Correct |
1043 ms |
185956 KB |
Output is correct |
18 |
Correct |
136 ms |
145772 KB |
Output is correct |
19 |
Correct |
356 ms |
163676 KB |
Output is correct |
20 |
Correct |
1037 ms |
185572 KB |
Output is correct |
21 |
Correct |
645 ms |
170720 KB |
Output is correct |
22 |
Correct |
360 ms |
164116 KB |
Output is correct |
23 |
Correct |
1032 ms |
185948 KB |
Output is correct |
24 |
Correct |
1024 ms |
185824 KB |
Output is correct |
25 |
Correct |
1043 ms |
185564 KB |
Output is correct |
26 |
Correct |
348 ms |
163676 KB |
Output is correct |
27 |
Correct |
346 ms |
163676 KB |
Output is correct |
28 |
Correct |
346 ms |
163804 KB |
Output is correct |
29 |
Correct |
343 ms |
163676 KB |
Output is correct |
30 |
Correct |
351 ms |
163804 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
88 ms |
141292 KB |
Output is correct |
2 |
Correct |
87 ms |
141292 KB |
Output is correct |
3 |
Correct |
91 ms |
141292 KB |
Output is correct |
4 |
Correct |
91 ms |
141324 KB |
Output is correct |
5 |
Correct |
89 ms |
141292 KB |
Output is correct |
6 |
Correct |
88 ms |
141292 KB |
Output is correct |
7 |
Correct |
86 ms |
141292 KB |
Output is correct |
8 |
Correct |
93 ms |
141320 KB |
Output is correct |
9 |
Correct |
85 ms |
141292 KB |
Output is correct |
10 |
Correct |
83 ms |
141292 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
400 ms |
161900 KB |
Output is correct |
2 |
Correct |
780 ms |
179108 KB |
Output is correct |
3 |
Correct |
753 ms |
179068 KB |
Output is correct |
4 |
Correct |
173 ms |
152160 KB |
Output is correct |
5 |
Correct |
766 ms |
179532 KB |
Output is correct |
6 |
Correct |
752 ms |
179396 KB |
Output is correct |
7 |
Correct |
750 ms |
179144 KB |
Output is correct |
8 |
Correct |
752 ms |
179732 KB |
Output is correct |
9 |
Correct |
758 ms |
179544 KB |
Output is correct |
10 |
Correct |
762 ms |
179080 KB |
Output is correct |
11 |
Correct |
765 ms |
179532 KB |
Output is correct |
12 |
Correct |
770 ms |
179276 KB |
Output is correct |
13 |
Correct |
760 ms |
179576 KB |
Output is correct |
14 |
Correct |
775 ms |
178844 KB |
Output is correct |
15 |
Correct |
788 ms |
179808 KB |
Output is correct |
16 |
Correct |
836 ms |
179896 KB |
Output is correct |
17 |
Correct |
741 ms |
179820 KB |
Output is correct |
18 |
Correct |
755 ms |
179216 KB |
Output is correct |
19 |
Correct |
179 ms |
152160 KB |
Output is correct |
20 |
Correct |
728 ms |
179692 KB |
Output is correct |
21 |
Correct |
604 ms |
180248 KB |
Output is correct |
22 |
Correct |
232 ms |
157916 KB |
Output is correct |
23 |
Correct |
191 ms |
152544 KB |
Output is correct |
24 |
Correct |
233 ms |
157880 KB |
Output is correct |
25 |
Correct |
241 ms |
156380 KB |
Output is correct |
26 |
Correct |
214 ms |
152932 KB |
Output is correct |
27 |
Correct |
171 ms |
152160 KB |
Output is correct |
28 |
Correct |
232 ms |
157916 KB |
Output is correct |
29 |
Correct |
171 ms |
152160 KB |
Output is correct |
30 |
Correct |
233 ms |
157916 KB |
Output is correct |
31 |
Correct |
172 ms |
152160 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
141292 KB |
Output is correct |
2 |
Correct |
90 ms |
141548 KB |
Output is correct |
3 |
Correct |
89 ms |
141548 KB |
Output is correct |
4 |
Correct |
87 ms |
141292 KB |
Output is correct |
5 |
Correct |
88 ms |
141552 KB |
Output is correct |
6 |
Correct |
88 ms |
141548 KB |
Output is correct |
7 |
Correct |
88 ms |
141292 KB |
Output is correct |
8 |
Correct |
88 ms |
141516 KB |
Output is correct |
9 |
Correct |
90 ms |
141548 KB |
Output is correct |
10 |
Correct |
89 ms |
141568 KB |
Output is correct |
11 |
Correct |
92 ms |
141548 KB |
Output is correct |
12 |
Correct |
89 ms |
141548 KB |
Output is correct |
13 |
Correct |
89 ms |
141548 KB |
Output is correct |
14 |
Correct |
90 ms |
141676 KB |
Output is correct |
15 |
Correct |
89 ms |
141548 KB |
Output is correct |
16 |
Correct |
470 ms |
163420 KB |
Output is correct |
17 |
Correct |
1043 ms |
185956 KB |
Output is correct |
18 |
Correct |
136 ms |
145772 KB |
Output is correct |
19 |
Correct |
356 ms |
163676 KB |
Output is correct |
20 |
Correct |
1037 ms |
185572 KB |
Output is correct |
21 |
Correct |
645 ms |
170720 KB |
Output is correct |
22 |
Correct |
360 ms |
164116 KB |
Output is correct |
23 |
Correct |
1032 ms |
185948 KB |
Output is correct |
24 |
Correct |
1024 ms |
185824 KB |
Output is correct |
25 |
Correct |
1043 ms |
185564 KB |
Output is correct |
26 |
Correct |
348 ms |
163676 KB |
Output is correct |
27 |
Correct |
346 ms |
163676 KB |
Output is correct |
28 |
Correct |
346 ms |
163804 KB |
Output is correct |
29 |
Correct |
343 ms |
163676 KB |
Output is correct |
30 |
Correct |
351 ms |
163804 KB |
Output is correct |
31 |
Correct |
88 ms |
141292 KB |
Output is correct |
32 |
Correct |
87 ms |
141292 KB |
Output is correct |
33 |
Correct |
91 ms |
141292 KB |
Output is correct |
34 |
Correct |
91 ms |
141324 KB |
Output is correct |
35 |
Correct |
89 ms |
141292 KB |
Output is correct |
36 |
Correct |
88 ms |
141292 KB |
Output is correct |
37 |
Correct |
86 ms |
141292 KB |
Output is correct |
38 |
Correct |
93 ms |
141320 KB |
Output is correct |
39 |
Correct |
85 ms |
141292 KB |
Output is correct |
40 |
Correct |
83 ms |
141292 KB |
Output is correct |
41 |
Correct |
400 ms |
161900 KB |
Output is correct |
42 |
Correct |
780 ms |
179108 KB |
Output is correct |
43 |
Correct |
753 ms |
179068 KB |
Output is correct |
44 |
Correct |
173 ms |
152160 KB |
Output is correct |
45 |
Correct |
766 ms |
179532 KB |
Output is correct |
46 |
Correct |
752 ms |
179396 KB |
Output is correct |
47 |
Correct |
750 ms |
179144 KB |
Output is correct |
48 |
Correct |
752 ms |
179732 KB |
Output is correct |
49 |
Correct |
758 ms |
179544 KB |
Output is correct |
50 |
Correct |
762 ms |
179080 KB |
Output is correct |
51 |
Correct |
765 ms |
179532 KB |
Output is correct |
52 |
Correct |
770 ms |
179276 KB |
Output is correct |
53 |
Correct |
760 ms |
179576 KB |
Output is correct |
54 |
Correct |
775 ms |
178844 KB |
Output is correct |
55 |
Correct |
788 ms |
179808 KB |
Output is correct |
56 |
Correct |
836 ms |
179896 KB |
Output is correct |
57 |
Correct |
741 ms |
179820 KB |
Output is correct |
58 |
Correct |
755 ms |
179216 KB |
Output is correct |
59 |
Correct |
179 ms |
152160 KB |
Output is correct |
60 |
Correct |
728 ms |
179692 KB |
Output is correct |
61 |
Correct |
604 ms |
180248 KB |
Output is correct |
62 |
Correct |
232 ms |
157916 KB |
Output is correct |
63 |
Correct |
191 ms |
152544 KB |
Output is correct |
64 |
Correct |
233 ms |
157880 KB |
Output is correct |
65 |
Correct |
241 ms |
156380 KB |
Output is correct |
66 |
Correct |
214 ms |
152932 KB |
Output is correct |
67 |
Correct |
171 ms |
152160 KB |
Output is correct |
68 |
Correct |
232 ms |
157916 KB |
Output is correct |
69 |
Correct |
171 ms |
152160 KB |
Output is correct |
70 |
Correct |
233 ms |
157916 KB |
Output is correct |
71 |
Correct |
172 ms |
152160 KB |
Output is correct |
72 |
Correct |
679 ms |
170852 KB |
Output is correct |
73 |
Correct |
1090 ms |
188852 KB |
Output is correct |
74 |
Correct |
1093 ms |
188900 KB |
Output is correct |
75 |
Correct |
1140 ms |
188888 KB |
Output is correct |
76 |
Correct |
1079 ms |
188772 KB |
Output is correct |
77 |
Correct |
1113 ms |
188772 KB |
Output is correct |
78 |
Correct |
1059 ms |
188800 KB |
Output is correct |
79 |
Correct |
1014 ms |
188900 KB |
Output is correct |
80 |
Correct |
1042 ms |
188896 KB |
Output is correct |
81 |
Correct |
1065 ms |
188916 KB |
Output is correct |
82 |
Correct |
1054 ms |
188996 KB |
Output is correct |
83 |
Correct |
1076 ms |
189000 KB |
Output is correct |
84 |
Correct |
1061 ms |
188804 KB |
Output is correct |
85 |
Correct |
1042 ms |
188908 KB |
Output is correct |
86 |
Correct |
1042 ms |
188808 KB |
Output is correct |
87 |
Correct |
1056 ms |
188788 KB |
Output is correct |
88 |
Correct |
1046 ms |
188824 KB |
Output is correct |
89 |
Correct |
423 ms |
164188 KB |
Output is correct |
90 |
Correct |
1040 ms |
188764 KB |
Output is correct |
91 |
Correct |
925 ms |
189036 KB |
Output is correct |
92 |
Correct |
501 ms |
163804 KB |
Output is correct |
93 |
Correct |
579 ms |
164832 KB |
Output is correct |
94 |
Correct |
483 ms |
163676 KB |
Output is correct |
95 |
Correct |
483 ms |
163776 KB |
Output is correct |
96 |
Correct |
668 ms |
163936 KB |
Output is correct |
97 |
Correct |
468 ms |
163804 KB |
Output is correct |
98 |
Correct |
487 ms |
163676 KB |
Output is correct |
99 |
Correct |
472 ms |
163676 KB |
Output is correct |
100 |
Correct |
483 ms |
163816 KB |
Output is correct |