#include <bits/stdc++.h>
using i64 = long long;
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
std::cin >> n;
std::vector<std::vector<int>> adj(n);
for (int i = 0; i < n - 1; i++) {
int u, v;
std::cin >> u >> v;
u--;
v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
int mn = 0;
std::vector<int> w(n, -1), o(n, -1);
std::vector<int> siz(n, 1);
std::function<void(int, int)> dfs = [&](int u, int p) {
std::vector<int> a;
int x = -1;
for (int v : adj[u]) {
if (v == p)
continue;
dfs(v, u);
siz[u] += siz[v];
if (w[v] == -1) {
a.push_back(v);
}
x = v;
}
int m = a.size();
if (m % 2 == 1) {
for (int i = 0; i < m - 2; i += 2) {
mn += 4;
w[a[i]] = a[i + 1];
w[a[i + 1]] = a[i];
}
mn += 2;
w[u] = a[m - 1];
w[a[m - 1]] = u;
} else {
for (int i = 0; i < m; i += 2) {
mn += 4;
w[a[i]] = a[i + 1];
w[a[i + 1]] = a[i];
}
if (m >= 2) {
w[u] = a[0];
w[a[0]] = a[1];
w[a[1]] = u;
} else if (p == -1) {
mn += 2;
w[u] = w[x];
w[x] = u;
}
}
};
dfs(0, -1);
std::function<int(int, int)> dfs2 = [&](int u, int p) {
for (int v : adj[u]) {
if (v != p && siz[v] > n / 2) {
return dfs2(v, u);
}
}
return u;
};
int u = dfs2(0, -1);
i64 mx = 0;
std::vector<std::vector<int>> a(n);
std::priority_queue<std::pair<int, int>> q;
for (int v : adj[u]) {
std::vector<int> b;
std::function<void(int, int, int)> dfs = [&](int u, int p, int dep) {
b.push_back(u);
mx += dep;
for (int v : adj[u]) {
if (v != p) {
dfs(v, u, dep + 1);
}
}
};
dfs(v, u, 1);
a[v] = b;
q.emplace(b.size(), v);
}
while (q.size() > 1) {
auto [si, i] = q.top();
q.pop();
auto [sj, j] = q.top();
q.pop();
o[a[i].back()] = a[j].back();
o[a[j].back()] = a[i].back();
a[i].pop_back();
a[j].pop_back();
if (si > 1) {
q.emplace(si - 1, i);
}
if (sj > 1) {
q.emplace(sj - 1, j);
}
}
if (q.empty()) {
int v = adj[u][0];
o[u] = o[v];
o[v] = u;
} else {
auto [si, i] = q.top();
assert(a[i].size() == 1);
o[u] = a[i][0];
o[a[i][0]] = u;
}
std::cout << mn << " " << 2 * mx << "\n";
for (int i = 0; i < n; i++) {
std::cout << w[i] + 1 << " \n"[i == n - 1];
}
for (int i = 0; i < n; i++) {
std::cout << o[i] + 1 << " \n"[i == n - 1];
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
324 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
448 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
324 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
328 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
284 KB |
Output is correct |
26 |
Correct |
1 ms |
320 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
324 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
320 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
324 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
448 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
320 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
2 ms |
324 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
328 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
284 KB |
Output is correct |
43 |
Correct |
1 ms |
320 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
73 ms |
10984 KB |
Output is correct |
49 |
Correct |
70 ms |
11916 KB |
Output is correct |
50 |
Correct |
73 ms |
12016 KB |
Output is correct |
51 |
Correct |
51 ms |
9520 KB |
Output is correct |
52 |
Correct |
75 ms |
11768 KB |
Output is correct |
53 |
Correct |
73 ms |
10836 KB |
Output is correct |
54 |
Correct |
35 ms |
12452 KB |
Output is correct |
55 |
Correct |
128 ms |
25524 KB |
Output is correct |
56 |
Correct |
88 ms |
18488 KB |
Output is correct |
57 |
Correct |
85 ms |
16508 KB |
Output is correct |
58 |
Correct |
81 ms |
14340 KB |
Output is correct |
59 |
Correct |
82 ms |
12308 KB |
Output is correct |
60 |
Correct |
92 ms |
15540 KB |
Output is correct |
61 |
Correct |
69 ms |
12968 KB |
Output is correct |
62 |
Correct |
73 ms |
12560 KB |
Output is correct |
63 |
Correct |
75 ms |
11816 KB |
Output is correct |
64 |
Correct |
78 ms |
12328 KB |
Output is correct |
65 |
Correct |
70 ms |
12308 KB |
Output is correct |
66 |
Correct |
67 ms |
11672 KB |
Output is correct |
67 |
Correct |
48 ms |
9824 KB |
Output is correct |
68 |
Correct |
58 ms |
10660 KB |
Output is correct |
69 |
Correct |
66 ms |
12340 KB |
Output is correct |
70 |
Correct |
59 ms |
11696 KB |
Output is correct |
71 |
Correct |
42 ms |
8920 KB |
Output is correct |
72 |
Correct |
47 ms |
9936 KB |
Output is correct |
73 |
Correct |
74 ms |
12452 KB |
Output is correct |
74 |
Correct |
55 ms |
11396 KB |
Output is correct |
75 |
Correct |
84 ms |
11816 KB |
Output is correct |
76 |
Correct |
73 ms |
11796 KB |
Output is correct |
77 |
Correct |
66 ms |
11696 KB |
Output is correct |
78 |
Correct |
36 ms |
8316 KB |
Output is correct |
79 |
Correct |
59 ms |
9552 KB |
Output is correct |
80 |
Correct |
65 ms |
11892 KB |
Output is correct |
81 |
Correct |
70 ms |
11804 KB |
Output is correct |
82 |
Correct |
94 ms |
12016 KB |
Output is correct |