#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
const int nax = 200005;
int rep[nax], par[nax], N, sz[nax];
bool swp[nax];
vector<int> G[nax], tab, pos;
void dfs(int u, int f) {
par[u] = f;
tab.push_back(u);
for (auto v : G[u]) {
if (v == f) continue;
dfs(v, u);
}
}
pair<int, vector<int>> smallest() {
for (int i = 1; i <= N; i++) {
rep[i] = i;
swp[i] = false;
par[i] = -1;
}
dfs(1, -1);
reverse(tab.begin(), tab.end());
int ans = 0;
for (auto u : tab) {
if (swp[u] == false) {
int v = par[u];
if (v == -1) v = G[u][0];
swp[u] = swp[v] = true;
swap(rep[u], rep[v]);
ans += 2;
}
}
tab.clear();
for (int i = 1; i <= N; i++)
pos.push_back(rep[i]);
return { ans, pos };
}
i64 sum = 0;
void dfs_size(int u, int f) {
tab.push_back(u);
sz[u] = 1;
for (auto v : G[u]) {
if (v == f) continue;
dfs_size(v, u);
sz[u] += sz[v];
}
sum += 2LL * min(sz[u], (N - sz[u]));
}
int find_centroid(int u, int f) {
for (auto v : G[u]) {
if (v == f) continue;
if (2 * sz[v] > N)
return find_centroid(v, u);
}
return u;
}
pair<i64, vector<int>> largest() {
dfs_size(1, -1);
int root = find_centroid(1, -1);
tab.clear(); pos.clear();
sum = 0;
dfs_size(root, -1);
for (int i = 0; i < N; i++)
rep[tab[i]] = tab[(i + N / 2) % N];
for (int i = 1; i <= N; i++)
pos.push_back(rep[i]);
return { sum, pos };
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
cin >> N;
for (int i = 1; i <= N - 1; i++) {
int u, v; cin >> u >> v;
G[u].push_back(v);
G[v].push_back(u);
}
auto A = smallest();
auto B = largest();
cout << A.first << ' ' << B.first << '\n';
for (auto o : A.second) cout << o << " \n"[o == A.second.back()];
for (auto o : B.second) cout << o << " \n"[o == B.second.back()];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6748 KB |
Output is correct |
2 |
Correct |
1 ms |
6748 KB |
Output is correct |
3 |
Correct |
1 ms |
6748 KB |
Output is correct |
4 |
Correct |
1 ms |
7000 KB |
Output is correct |
5 |
Correct |
1 ms |
6748 KB |
Output is correct |
6 |
Correct |
1 ms |
6748 KB |
Output is correct |
7 |
Correct |
2 ms |
6748 KB |
Output is correct |
8 |
Correct |
2 ms |
6748 KB |
Output is correct |
9 |
Correct |
2 ms |
6748 KB |
Output is correct |
10 |
Correct |
2 ms |
6744 KB |
Output is correct |
11 |
Correct |
1 ms |
6744 KB |
Output is correct |
12 |
Correct |
1 ms |
6748 KB |
Output is correct |
13 |
Correct |
1 ms |
6748 KB |
Output is correct |
14 |
Correct |
1 ms |
6748 KB |
Output is correct |
15 |
Correct |
1 ms |
6744 KB |
Output is correct |
16 |
Correct |
2 ms |
6748 KB |
Output is correct |
17 |
Correct |
1 ms |
6748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6748 KB |
Output is correct |
2 |
Correct |
2 ms |
6744 KB |
Output is correct |
3 |
Correct |
1 ms |
6748 KB |
Output is correct |
4 |
Correct |
3 ms |
6744 KB |
Output is correct |
5 |
Correct |
2 ms |
6748 KB |
Output is correct |
6 |
Correct |
3 ms |
6748 KB |
Output is correct |
7 |
Correct |
2 ms |
7000 KB |
Output is correct |
8 |
Correct |
2 ms |
6748 KB |
Output is correct |
9 |
Correct |
2 ms |
6748 KB |
Output is correct |
10 |
Correct |
2 ms |
6744 KB |
Output is correct |
11 |
Correct |
2 ms |
6744 KB |
Output is correct |
12 |
Correct |
2 ms |
6748 KB |
Output is correct |
13 |
Correct |
2 ms |
6748 KB |
Output is correct |
14 |
Correct |
2 ms |
6748 KB |
Output is correct |
15 |
Correct |
2 ms |
6748 KB |
Output is correct |
16 |
Correct |
2 ms |
6748 KB |
Output is correct |
17 |
Correct |
2 ms |
6748 KB |
Output is correct |
18 |
Correct |
2 ms |
6748 KB |
Output is correct |
19 |
Correct |
2 ms |
6748 KB |
Output is correct |
20 |
Correct |
3 ms |
6748 KB |
Output is correct |
21 |
Correct |
2 ms |
6744 KB |
Output is correct |
22 |
Correct |
2 ms |
6744 KB |
Output is correct |
23 |
Correct |
3 ms |
6748 KB |
Output is correct |
24 |
Correct |
2 ms |
6748 KB |
Output is correct |
25 |
Correct |
2 ms |
6772 KB |
Output is correct |
26 |
Correct |
2 ms |
6748 KB |
Output is correct |
27 |
Correct |
2 ms |
6748 KB |
Output is correct |
28 |
Correct |
2 ms |
6756 KB |
Output is correct |
29 |
Correct |
2 ms |
6744 KB |
Output is correct |
30 |
Correct |
2 ms |
6744 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6748 KB |
Output is correct |
2 |
Correct |
1 ms |
6748 KB |
Output is correct |
3 |
Correct |
1 ms |
6748 KB |
Output is correct |
4 |
Correct |
1 ms |
7000 KB |
Output is correct |
5 |
Correct |
1 ms |
6748 KB |
Output is correct |
6 |
Correct |
1 ms |
6748 KB |
Output is correct |
7 |
Correct |
2 ms |
6748 KB |
Output is correct |
8 |
Correct |
2 ms |
6748 KB |
Output is correct |
9 |
Correct |
2 ms |
6748 KB |
Output is correct |
10 |
Correct |
2 ms |
6744 KB |
Output is correct |
11 |
Correct |
1 ms |
6744 KB |
Output is correct |
12 |
Correct |
1 ms |
6748 KB |
Output is correct |
13 |
Correct |
1 ms |
6748 KB |
Output is correct |
14 |
Correct |
1 ms |
6748 KB |
Output is correct |
15 |
Correct |
1 ms |
6744 KB |
Output is correct |
16 |
Correct |
2 ms |
6748 KB |
Output is correct |
17 |
Correct |
1 ms |
6748 KB |
Output is correct |
18 |
Correct |
2 ms |
6748 KB |
Output is correct |
19 |
Correct |
2 ms |
6744 KB |
Output is correct |
20 |
Correct |
1 ms |
6748 KB |
Output is correct |
21 |
Correct |
3 ms |
6744 KB |
Output is correct |
22 |
Correct |
2 ms |
6748 KB |
Output is correct |
23 |
Correct |
3 ms |
6748 KB |
Output is correct |
24 |
Correct |
2 ms |
7000 KB |
Output is correct |
25 |
Correct |
2 ms |
6748 KB |
Output is correct |
26 |
Correct |
2 ms |
6748 KB |
Output is correct |
27 |
Correct |
2 ms |
6744 KB |
Output is correct |
28 |
Correct |
2 ms |
6744 KB |
Output is correct |
29 |
Correct |
2 ms |
6748 KB |
Output is correct |
30 |
Correct |
2 ms |
6748 KB |
Output is correct |
31 |
Correct |
2 ms |
6748 KB |
Output is correct |
32 |
Correct |
2 ms |
6748 KB |
Output is correct |
33 |
Correct |
2 ms |
6748 KB |
Output is correct |
34 |
Correct |
2 ms |
6748 KB |
Output is correct |
35 |
Correct |
2 ms |
6748 KB |
Output is correct |
36 |
Correct |
2 ms |
6748 KB |
Output is correct |
37 |
Correct |
3 ms |
6748 KB |
Output is correct |
38 |
Correct |
2 ms |
6744 KB |
Output is correct |
39 |
Correct |
2 ms |
6744 KB |
Output is correct |
40 |
Correct |
3 ms |
6748 KB |
Output is correct |
41 |
Correct |
2 ms |
6748 KB |
Output is correct |
42 |
Correct |
2 ms |
6772 KB |
Output is correct |
43 |
Correct |
2 ms |
6748 KB |
Output is correct |
44 |
Correct |
2 ms |
6748 KB |
Output is correct |
45 |
Correct |
2 ms |
6756 KB |
Output is correct |
46 |
Correct |
2 ms |
6744 KB |
Output is correct |
47 |
Correct |
2 ms |
6744 KB |
Output is correct |
48 |
Correct |
40 ms |
12720 KB |
Output is correct |
49 |
Correct |
43 ms |
13140 KB |
Output is correct |
50 |
Correct |
48 ms |
13224 KB |
Output is correct |
51 |
Correct |
34 ms |
11664 KB |
Output is correct |
52 |
Correct |
42 ms |
13128 KB |
Output is correct |
53 |
Correct |
39 ms |
12632 KB |
Output is correct |
54 |
Correct |
33 ms |
12780 KB |
Output is correct |
55 |
Correct |
54 ms |
19096 KB |
Output is correct |
56 |
Correct |
49 ms |
15952 KB |
Output is correct |
57 |
Correct |
48 ms |
14932 KB |
Output is correct |
58 |
Correct |
47 ms |
14000 KB |
Output is correct |
59 |
Correct |
44 ms |
13168 KB |
Output is correct |
60 |
Correct |
35 ms |
13592 KB |
Output is correct |
61 |
Correct |
36 ms |
13628 KB |
Output is correct |
62 |
Correct |
40 ms |
13644 KB |
Output is correct |
63 |
Correct |
39 ms |
13148 KB |
Output is correct |
64 |
Correct |
41 ms |
13652 KB |
Output is correct |
65 |
Correct |
35 ms |
13656 KB |
Output is correct |
66 |
Correct |
37 ms |
13152 KB |
Output is correct |
67 |
Correct |
26 ms |
11848 KB |
Output is correct |
68 |
Correct |
31 ms |
12628 KB |
Output is correct |
69 |
Correct |
36 ms |
13644 KB |
Output is correct |
70 |
Correct |
35 ms |
13144 KB |
Output is correct |
71 |
Correct |
24 ms |
11560 KB |
Output is correct |
72 |
Correct |
28 ms |
12104 KB |
Output is correct |
73 |
Correct |
36 ms |
13652 KB |
Output is correct |
74 |
Correct |
34 ms |
13132 KB |
Output is correct |
75 |
Correct |
43 ms |
13144 KB |
Output is correct |
76 |
Correct |
42 ms |
13032 KB |
Output is correct |
77 |
Correct |
38 ms |
13388 KB |
Output is correct |
78 |
Correct |
27 ms |
11104 KB |
Output is correct |
79 |
Correct |
32 ms |
11788 KB |
Output is correct |
80 |
Correct |
47 ms |
13136 KB |
Output is correct |
81 |
Correct |
38 ms |
13372 KB |
Output is correct |
82 |
Correct |
37 ms |
13388 KB |
Output is correct |