#include <bits/stdc++.h>
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
const int N = 1e5 + 7;
const ll inf = 1e18;
int n, m, k, q;
int pa[N], siz[N], par[N][18], dub[N];
ll mini[N][18], dis[N];
pii ed[5*N];
vector <pii> adj[N];
int find(int x) {return x == pa[x] ? x : (pa[x] = find(pa[x]));}
bool unite(int x, int y) {
x = find(x); y = find(y);
if (x == y) return 1;
if (siz[x] < siz[y]) swap(x, y);
pa[y] = x;
siz[x] += siz[y];
return 0;
}
void dfs(int x, int p = -1) {
if (x) par[x][0] = p;
if (x) dub[x] = dub[p] + 1;
for (auto y : adj[x]) {
if (y.F == p) continue;
mini[y.F][0] = y.S;
dfs(y.F, x);
}
}
int query(int x, int y) {
if (dub[x] < dub[y]) swap(x, y);
ll mn = inf;
for (int i = 17; i >= 0; i--) {
int z = par[x][i]; if (z==-1) continue;
if (dub[z] >= dub[y]) {mn = min(mn, mini[x][i]); x = z;}
}
if (x == y) return mn;
for (int i = 17; i >= 0; i--) {
int z = par[x][i], w = par[y][i];
if (z != w) {mn = min(mn, min(mini[x][i], mini[y][i])); x = z, y = w;}
}
return min(mn, min(mini[x][0], mini[y][0]));
}
int main () {
FIO;
cin >> n >> m;
for (int i = 0; i < m; i++) {
int x, y, w; cin >> x >> y >> w; x--; y--;
adj[x].pb({y, w});
adj[y].pb({x, w});
ed[i] = {x, y};
}
cin >> k;
set <pii> s;
for (int i = 0; i < n; i++) dis[i] = inf;
for (int i = 0; i < k; i++) {
int x; cin >> x; x--;
dis[x] = 0;
s.insert({0, x});
}
while (!s.empty()) {
auto p = s.begin();
int x = p -> S;
s.erase(p);
for (auto y : adj[x]) {
if (dis[x] + y.S < dis[y.F]) {
if (dis[y.F] != inf) s.erase({dis[y.F], y.F});
dis[y.F] = dis[x] + y.S;
s.insert({dis[y.F], y.F});
}
}
}
for (int i = 0; i < n; i++) {
adj[i].clear();
pa[i] = i;
siz[i] = 1;
}
vector <pii> v;
for (int i = 0; i < m; i++) v.pb({min(dis[ed[i].F], dis[ed[i].S]), i});
sort(all(v)); reverse(all(v));
for (int i = 0; i < m; i++) {
int x = ed[v[i].S].F, y = ed[v[i].S].S;
if (unite(x, y)) continue;
adj[x].pb({y, v[i].F});
adj[y].pb({x, v[i].F});
}
mini[0][0] = inf;
dfs(0);
for (int j = 1; j < 18; j++) {
for (int i = 0; i < n; i++) {
par[i][j] = par[par[i][j-1]][j-1];
mini[i][j] = min(mini[i][j-1], mini[par[i][j-1]][j-1]);
}
}
cin >> q;
while (q--) {
int x, y; cin >> x >> y; x--; y--;
cout << query(x, y) << "\n";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12888 KB |
Output is correct |
2 |
Correct |
3 ms |
13004 KB |
Output is correct |
3 |
Correct |
2 ms |
12892 KB |
Output is correct |
4 |
Correct |
2 ms |
12892 KB |
Output is correct |
5 |
Correct |
2 ms |
12944 KB |
Output is correct |
6 |
Correct |
3 ms |
12892 KB |
Output is correct |
7 |
Correct |
2 ms |
12892 KB |
Output is correct |
8 |
Correct |
2 ms |
12892 KB |
Output is correct |
9 |
Correct |
2 ms |
12820 KB |
Output is correct |
10 |
Correct |
2 ms |
13060 KB |
Output is correct |
11 |
Correct |
2 ms |
12892 KB |
Output is correct |
12 |
Correct |
2 ms |
12892 KB |
Output is correct |
13 |
Correct |
3 ms |
12888 KB |
Output is correct |
14 |
Correct |
2 ms |
12892 KB |
Output is correct |
15 |
Correct |
2 ms |
12892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12888 KB |
Output is correct |
2 |
Correct |
3 ms |
13004 KB |
Output is correct |
3 |
Correct |
2 ms |
12892 KB |
Output is correct |
4 |
Correct |
2 ms |
12892 KB |
Output is correct |
5 |
Correct |
2 ms |
12944 KB |
Output is correct |
6 |
Correct |
3 ms |
12892 KB |
Output is correct |
7 |
Correct |
2 ms |
12892 KB |
Output is correct |
8 |
Correct |
2 ms |
12892 KB |
Output is correct |
9 |
Correct |
2 ms |
12820 KB |
Output is correct |
10 |
Correct |
2 ms |
13060 KB |
Output is correct |
11 |
Correct |
2 ms |
12892 KB |
Output is correct |
12 |
Correct |
2 ms |
12892 KB |
Output is correct |
13 |
Correct |
3 ms |
12888 KB |
Output is correct |
14 |
Correct |
2 ms |
12892 KB |
Output is correct |
15 |
Correct |
2 ms |
12892 KB |
Output is correct |
16 |
Correct |
116 ms |
38472 KB |
Output is correct |
17 |
Correct |
376 ms |
78932 KB |
Output is correct |
18 |
Correct |
26 ms |
18896 KB |
Output is correct |
19 |
Correct |
92 ms |
43712 KB |
Output is correct |
20 |
Correct |
391 ms |
78804 KB |
Output is correct |
21 |
Correct |
190 ms |
54892 KB |
Output is correct |
22 |
Correct |
76 ms |
44216 KB |
Output is correct |
23 |
Correct |
428 ms |
78972 KB |
Output is correct |
24 |
Correct |
367 ms |
79068 KB |
Output is correct |
25 |
Correct |
376 ms |
78680 KB |
Output is correct |
26 |
Correct |
94 ms |
44992 KB |
Output is correct |
27 |
Correct |
92 ms |
45244 KB |
Output is correct |
28 |
Correct |
92 ms |
44992 KB |
Output is correct |
29 |
Correct |
92 ms |
43712 KB |
Output is correct |
30 |
Correct |
81 ms |
45244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
12888 KB |
Output is correct |
2 |
Correct |
2 ms |
12892 KB |
Output is correct |
3 |
Correct |
1 ms |
12892 KB |
Output is correct |
4 |
Correct |
1 ms |
12960 KB |
Output is correct |
5 |
Correct |
1 ms |
12892 KB |
Output is correct |
6 |
Correct |
2 ms |
12892 KB |
Output is correct |
7 |
Correct |
1 ms |
12892 KB |
Output is correct |
8 |
Correct |
1 ms |
12892 KB |
Output is correct |
9 |
Correct |
1 ms |
12892 KB |
Output is correct |
10 |
Correct |
1 ms |
12892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
154 ms |
50860 KB |
Output is correct |
2 |
Correct |
295 ms |
76740 KB |
Output is correct |
3 |
Correct |
312 ms |
76852 KB |
Output is correct |
4 |
Correct |
54 ms |
40388 KB |
Output is correct |
5 |
Correct |
303 ms |
77588 KB |
Output is correct |
6 |
Correct |
297 ms |
76652 KB |
Output is correct |
7 |
Correct |
322 ms |
76752 KB |
Output is correct |
8 |
Correct |
311 ms |
77368 KB |
Output is correct |
9 |
Correct |
333 ms |
76700 KB |
Output is correct |
10 |
Correct |
324 ms |
76920 KB |
Output is correct |
11 |
Correct |
332 ms |
77056 KB |
Output is correct |
12 |
Correct |
324 ms |
77472 KB |
Output is correct |
13 |
Correct |
293 ms |
77340 KB |
Output is correct |
14 |
Correct |
322 ms |
76640 KB |
Output is correct |
15 |
Correct |
319 ms |
77340 KB |
Output is correct |
16 |
Correct |
313 ms |
77288 KB |
Output is correct |
17 |
Correct |
299 ms |
76764 KB |
Output is correct |
18 |
Correct |
298 ms |
77372 KB |
Output is correct |
19 |
Correct |
46 ms |
41920 KB |
Output is correct |
20 |
Correct |
309 ms |
77316 KB |
Output is correct |
21 |
Correct |
231 ms |
78904 KB |
Output is correct |
22 |
Correct |
71 ms |
43708 KB |
Output is correct |
23 |
Correct |
64 ms |
38292 KB |
Output is correct |
24 |
Correct |
75 ms |
43708 KB |
Output is correct |
25 |
Correct |
82 ms |
42072 KB |
Output is correct |
26 |
Correct |
79 ms |
39236 KB |
Output is correct |
27 |
Correct |
60 ms |
41720 KB |
Output is correct |
28 |
Correct |
74 ms |
43720 KB |
Output is correct |
29 |
Correct |
56 ms |
41152 KB |
Output is correct |
30 |
Correct |
71 ms |
43708 KB |
Output is correct |
31 |
Correct |
57 ms |
41156 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12888 KB |
Output is correct |
2 |
Correct |
3 ms |
13004 KB |
Output is correct |
3 |
Correct |
2 ms |
12892 KB |
Output is correct |
4 |
Correct |
2 ms |
12892 KB |
Output is correct |
5 |
Correct |
2 ms |
12944 KB |
Output is correct |
6 |
Correct |
3 ms |
12892 KB |
Output is correct |
7 |
Correct |
2 ms |
12892 KB |
Output is correct |
8 |
Correct |
2 ms |
12892 KB |
Output is correct |
9 |
Correct |
2 ms |
12820 KB |
Output is correct |
10 |
Correct |
2 ms |
13060 KB |
Output is correct |
11 |
Correct |
2 ms |
12892 KB |
Output is correct |
12 |
Correct |
2 ms |
12892 KB |
Output is correct |
13 |
Correct |
3 ms |
12888 KB |
Output is correct |
14 |
Correct |
2 ms |
12892 KB |
Output is correct |
15 |
Correct |
2 ms |
12892 KB |
Output is correct |
16 |
Correct |
116 ms |
38472 KB |
Output is correct |
17 |
Correct |
376 ms |
78932 KB |
Output is correct |
18 |
Correct |
26 ms |
18896 KB |
Output is correct |
19 |
Correct |
92 ms |
43712 KB |
Output is correct |
20 |
Correct |
391 ms |
78804 KB |
Output is correct |
21 |
Correct |
190 ms |
54892 KB |
Output is correct |
22 |
Correct |
76 ms |
44216 KB |
Output is correct |
23 |
Correct |
428 ms |
78972 KB |
Output is correct |
24 |
Correct |
367 ms |
79068 KB |
Output is correct |
25 |
Correct |
376 ms |
78680 KB |
Output is correct |
26 |
Correct |
94 ms |
44992 KB |
Output is correct |
27 |
Correct |
92 ms |
45244 KB |
Output is correct |
28 |
Correct |
92 ms |
44992 KB |
Output is correct |
29 |
Correct |
92 ms |
43712 KB |
Output is correct |
30 |
Correct |
81 ms |
45244 KB |
Output is correct |
31 |
Correct |
1 ms |
12888 KB |
Output is correct |
32 |
Correct |
2 ms |
12892 KB |
Output is correct |
33 |
Correct |
1 ms |
12892 KB |
Output is correct |
34 |
Correct |
1 ms |
12960 KB |
Output is correct |
35 |
Correct |
1 ms |
12892 KB |
Output is correct |
36 |
Correct |
2 ms |
12892 KB |
Output is correct |
37 |
Correct |
1 ms |
12892 KB |
Output is correct |
38 |
Correct |
1 ms |
12892 KB |
Output is correct |
39 |
Correct |
1 ms |
12892 KB |
Output is correct |
40 |
Correct |
1 ms |
12892 KB |
Output is correct |
41 |
Correct |
154 ms |
50860 KB |
Output is correct |
42 |
Correct |
295 ms |
76740 KB |
Output is correct |
43 |
Correct |
312 ms |
76852 KB |
Output is correct |
44 |
Correct |
54 ms |
40388 KB |
Output is correct |
45 |
Correct |
303 ms |
77588 KB |
Output is correct |
46 |
Correct |
297 ms |
76652 KB |
Output is correct |
47 |
Correct |
322 ms |
76752 KB |
Output is correct |
48 |
Correct |
311 ms |
77368 KB |
Output is correct |
49 |
Correct |
333 ms |
76700 KB |
Output is correct |
50 |
Correct |
324 ms |
76920 KB |
Output is correct |
51 |
Correct |
332 ms |
77056 KB |
Output is correct |
52 |
Correct |
324 ms |
77472 KB |
Output is correct |
53 |
Correct |
293 ms |
77340 KB |
Output is correct |
54 |
Correct |
322 ms |
76640 KB |
Output is correct |
55 |
Correct |
319 ms |
77340 KB |
Output is correct |
56 |
Correct |
313 ms |
77288 KB |
Output is correct |
57 |
Correct |
299 ms |
76764 KB |
Output is correct |
58 |
Correct |
298 ms |
77372 KB |
Output is correct |
59 |
Correct |
46 ms |
41920 KB |
Output is correct |
60 |
Correct |
309 ms |
77316 KB |
Output is correct |
61 |
Correct |
231 ms |
78904 KB |
Output is correct |
62 |
Correct |
71 ms |
43708 KB |
Output is correct |
63 |
Correct |
64 ms |
38292 KB |
Output is correct |
64 |
Correct |
75 ms |
43708 KB |
Output is correct |
65 |
Correct |
82 ms |
42072 KB |
Output is correct |
66 |
Correct |
79 ms |
39236 KB |
Output is correct |
67 |
Correct |
60 ms |
41720 KB |
Output is correct |
68 |
Correct |
74 ms |
43720 KB |
Output is correct |
69 |
Correct |
56 ms |
41152 KB |
Output is correct |
70 |
Correct |
71 ms |
43708 KB |
Output is correct |
71 |
Correct |
57 ms |
41156 KB |
Output is correct |
72 |
Correct |
196 ms |
52700 KB |
Output is correct |
73 |
Correct |
360 ms |
79068 KB |
Output is correct |
74 |
Correct |
344 ms |
77944 KB |
Output is correct |
75 |
Correct |
355 ms |
79552 KB |
Output is correct |
76 |
Correct |
352 ms |
78812 KB |
Output is correct |
77 |
Correct |
410 ms |
79164 KB |
Output is correct |
78 |
Correct |
378 ms |
78344 KB |
Output is correct |
79 |
Correct |
367 ms |
78932 KB |
Output is correct |
80 |
Correct |
356 ms |
78488 KB |
Output is correct |
81 |
Correct |
380 ms |
78996 KB |
Output is correct |
82 |
Correct |
392 ms |
79168 KB |
Output is correct |
83 |
Correct |
386 ms |
79140 KB |
Output is correct |
84 |
Correct |
381 ms |
78072 KB |
Output is correct |
85 |
Correct |
427 ms |
78964 KB |
Output is correct |
86 |
Correct |
364 ms |
79168 KB |
Output is correct |
87 |
Correct |
342 ms |
79164 KB |
Output is correct |
88 |
Correct |
366 ms |
78968 KB |
Output is correct |
89 |
Correct |
107 ms |
43192 KB |
Output is correct |
90 |
Correct |
368 ms |
79156 KB |
Output is correct |
91 |
Correct |
299 ms |
80704 KB |
Output is correct |
92 |
Correct |
91 ms |
43708 KB |
Output is correct |
93 |
Correct |
109 ms |
40584 KB |
Output is correct |
94 |
Correct |
95 ms |
44992 KB |
Output is correct |
95 |
Correct |
79 ms |
43708 KB |
Output is correct |
96 |
Correct |
126 ms |
40256 KB |
Output is correct |
97 |
Correct |
134 ms |
42428 KB |
Output is correct |
98 |
Correct |
99 ms |
43704 KB |
Output is correct |
99 |
Correct |
107 ms |
43584 KB |
Output is correct |
100 |
Correct |
93 ms |
43708 KB |
Output is correct |