#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define TASK "task"
#define all(x) x.begin(), x.end()
using namespace std;
const int N = 2e5 + 7;
const int MOD = 1e9 + 7; // 998244353;
const int INF = 1e9 + 7;
const long long INFLL = 1e18 + 7;
typedef long long ll;
typedef unsigned long long ull;
template <class X, class Y> bool minimize(X &a, Y b) {
if (a > b) return a = b, true;
return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
if (a < b) return a = b, true;
return false;
}
int n;
vector<int> adj[N];
namespace task1 {
static int best = 0;
static int newHouse[N];
void dfs(int u, int p) {
for (int v: adj[u]) if (v != p) {
dfs(v, u);
if (v == newHouse[v]) {
best += 2;
swap(newHouse[u], newHouse[v]);
}
}
}
void solve(void) {
for (int i = 1; i <= n; i ++) newHouse[i] = i;
dfs(1, 1);
if (newHouse[1] == 1) {
best += 2;
swap(newHouse[1], newHouse[*adj[1].begin()]);
}
}
}
namespace task2 {
static ll best;
static int sub[N];
static int newHouse[N];
vector<int> vertex;
void dfs1(int u, int p) {
sub[u] = 1;
vertex.push_back(u);
for (int v: adj[u]) if (v != p) {
dfs1(v, u);
sub[u] += sub[v];
best += min(sub[v], n - sub[v]);
}
}
int centroid(int u, int p) {
for (int v: adj[u]) if (v != p) {
if (sub[v] > n / 2) return centroid(v, u);
}
return u;
}
void solve(void) {
for (int i = 1; i <= n; i ++) newHouse[i] = i;
dfs1(1, 1);
int centerNode = centroid(1, 1);
// cout << centerNode << '\n';
dfs1(centerNode, centerNode);
int mx = 0;
for (int v: adj[centerNode]) maximize(mx, sub[v]);
for (int i = 0; i < n; i ++)
newHouse[vertex[i]] = vertex[(i + mx) % n];
}
}
int main(void) {
cin.tie(0)->sync_with_stdio(0);
int test = 1;
// cin >> test;
while (test --) {
cin >> n;
for (int i = 1; i < n; i ++) {
int u, v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
task1::solve();
task2::solve();
cout << task1::best << " " << task2::best << '\n';
for (int i = 1; i <= n; i ++) cout << task1::newHouse[i] << " \n"[i == n];
for (int i = 1; i <= n; i ++) cout << task2::newHouse[i] << " \n"[i == n];
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
5000 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
3 ms |
4940 KB |
Output is correct |
6 |
Correct |
4 ms |
4940 KB |
Output is correct |
7 |
Correct |
4 ms |
4940 KB |
Output is correct |
8 |
Correct |
3 ms |
4940 KB |
Output is correct |
9 |
Correct |
3 ms |
4940 KB |
Output is correct |
10 |
Correct |
4 ms |
4940 KB |
Output is correct |
11 |
Correct |
3 ms |
4940 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
4940 KB |
Output is correct |
14 |
Correct |
3 ms |
4940 KB |
Output is correct |
15 |
Correct |
5 ms |
4940 KB |
Output is correct |
16 |
Correct |
4 ms |
5020 KB |
Output is correct |
17 |
Correct |
3 ms |
5020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
4 ms |
5068 KB |
Output is correct |
3 |
Correct |
3 ms |
5068 KB |
Output is correct |
4 |
Correct |
4 ms |
5068 KB |
Output is correct |
5 |
Correct |
4 ms |
5024 KB |
Output is correct |
6 |
Correct |
4 ms |
5068 KB |
Output is correct |
7 |
Correct |
4 ms |
5152 KB |
Output is correct |
8 |
Correct |
5 ms |
5084 KB |
Output is correct |
9 |
Correct |
4 ms |
5068 KB |
Output is correct |
10 |
Correct |
4 ms |
5068 KB |
Output is correct |
11 |
Correct |
4 ms |
5020 KB |
Output is correct |
12 |
Correct |
4 ms |
5068 KB |
Output is correct |
13 |
Correct |
4 ms |
5028 KB |
Output is correct |
14 |
Correct |
4 ms |
5068 KB |
Output is correct |
15 |
Correct |
4 ms |
5024 KB |
Output is correct |
16 |
Correct |
4 ms |
5060 KB |
Output is correct |
17 |
Correct |
4 ms |
5068 KB |
Output is correct |
18 |
Correct |
4 ms |
5068 KB |
Output is correct |
19 |
Correct |
4 ms |
5068 KB |
Output is correct |
20 |
Correct |
4 ms |
5068 KB |
Output is correct |
21 |
Correct |
4 ms |
5024 KB |
Output is correct |
22 |
Correct |
4 ms |
5068 KB |
Output is correct |
23 |
Correct |
4 ms |
5028 KB |
Output is correct |
24 |
Correct |
4 ms |
5068 KB |
Output is correct |
25 |
Correct |
4 ms |
5068 KB |
Output is correct |
26 |
Correct |
4 ms |
5068 KB |
Output is correct |
27 |
Correct |
4 ms |
5068 KB |
Output is correct |
28 |
Correct |
4 ms |
5068 KB |
Output is correct |
29 |
Correct |
4 ms |
5068 KB |
Output is correct |
30 |
Correct |
4 ms |
5024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
5000 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
3 ms |
4940 KB |
Output is correct |
6 |
Correct |
4 ms |
4940 KB |
Output is correct |
7 |
Correct |
4 ms |
4940 KB |
Output is correct |
8 |
Correct |
3 ms |
4940 KB |
Output is correct |
9 |
Correct |
3 ms |
4940 KB |
Output is correct |
10 |
Correct |
4 ms |
4940 KB |
Output is correct |
11 |
Correct |
3 ms |
4940 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
4940 KB |
Output is correct |
14 |
Correct |
3 ms |
4940 KB |
Output is correct |
15 |
Correct |
5 ms |
4940 KB |
Output is correct |
16 |
Correct |
4 ms |
5020 KB |
Output is correct |
17 |
Correct |
3 ms |
5020 KB |
Output is correct |
18 |
Correct |
3 ms |
4940 KB |
Output is correct |
19 |
Correct |
4 ms |
5068 KB |
Output is correct |
20 |
Correct |
3 ms |
5068 KB |
Output is correct |
21 |
Correct |
4 ms |
5068 KB |
Output is correct |
22 |
Correct |
4 ms |
5024 KB |
Output is correct |
23 |
Correct |
4 ms |
5068 KB |
Output is correct |
24 |
Correct |
4 ms |
5152 KB |
Output is correct |
25 |
Correct |
5 ms |
5084 KB |
Output is correct |
26 |
Correct |
4 ms |
5068 KB |
Output is correct |
27 |
Correct |
4 ms |
5068 KB |
Output is correct |
28 |
Correct |
4 ms |
5020 KB |
Output is correct |
29 |
Correct |
4 ms |
5068 KB |
Output is correct |
30 |
Correct |
4 ms |
5028 KB |
Output is correct |
31 |
Correct |
4 ms |
5068 KB |
Output is correct |
32 |
Correct |
4 ms |
5024 KB |
Output is correct |
33 |
Correct |
4 ms |
5060 KB |
Output is correct |
34 |
Correct |
4 ms |
5068 KB |
Output is correct |
35 |
Correct |
4 ms |
5068 KB |
Output is correct |
36 |
Correct |
4 ms |
5068 KB |
Output is correct |
37 |
Correct |
4 ms |
5068 KB |
Output is correct |
38 |
Correct |
4 ms |
5024 KB |
Output is correct |
39 |
Correct |
4 ms |
5068 KB |
Output is correct |
40 |
Correct |
4 ms |
5028 KB |
Output is correct |
41 |
Correct |
4 ms |
5068 KB |
Output is correct |
42 |
Correct |
4 ms |
5068 KB |
Output is correct |
43 |
Correct |
4 ms |
5068 KB |
Output is correct |
44 |
Correct |
4 ms |
5068 KB |
Output is correct |
45 |
Correct |
4 ms |
5068 KB |
Output is correct |
46 |
Correct |
4 ms |
5068 KB |
Output is correct |
47 |
Correct |
4 ms |
5024 KB |
Output is correct |
48 |
Correct |
90 ms |
11972 KB |
Output is correct |
49 |
Correct |
83 ms |
12668 KB |
Output is correct |
50 |
Correct |
88 ms |
12696 KB |
Output is correct |
51 |
Correct |
83 ms |
10980 KB |
Output is correct |
52 |
Correct |
94 ms |
12552 KB |
Output is correct |
53 |
Correct |
88 ms |
11944 KB |
Output is correct |
54 |
Correct |
50 ms |
12352 KB |
Output is correct |
55 |
Correct |
108 ms |
20152 KB |
Output is correct |
56 |
Correct |
109 ms |
16220 KB |
Output is correct |
57 |
Correct |
97 ms |
14904 KB |
Output is correct |
58 |
Correct |
117 ms |
13844 KB |
Output is correct |
59 |
Correct |
108 ms |
12780 KB |
Output is correct |
60 |
Correct |
64 ms |
12784 KB |
Output is correct |
61 |
Correct |
69 ms |
12968 KB |
Output is correct |
62 |
Correct |
74 ms |
13040 KB |
Output is correct |
63 |
Correct |
69 ms |
12612 KB |
Output is correct |
64 |
Correct |
75 ms |
12940 KB |
Output is correct |
65 |
Correct |
72 ms |
13120 KB |
Output is correct |
66 |
Correct |
64 ms |
12580 KB |
Output is correct |
67 |
Correct |
48 ms |
10932 KB |
Output is correct |
68 |
Correct |
64 ms |
11848 KB |
Output is correct |
69 |
Correct |
75 ms |
13048 KB |
Output is correct |
70 |
Correct |
65 ms |
12596 KB |
Output is correct |
71 |
Correct |
49 ms |
10680 KB |
Output is correct |
72 |
Correct |
60 ms |
11388 KB |
Output is correct |
73 |
Correct |
84 ms |
13112 KB |
Output is correct |
74 |
Correct |
64 ms |
12352 KB |
Output is correct |
75 |
Correct |
124 ms |
12468 KB |
Output is correct |
76 |
Correct |
80 ms |
12576 KB |
Output is correct |
77 |
Correct |
90 ms |
12688 KB |
Output is correct |
78 |
Correct |
50 ms |
10144 KB |
Output is correct |
79 |
Correct |
60 ms |
11008 KB |
Output is correct |
80 |
Correct |
81 ms |
12472 KB |
Output is correct |
81 |
Correct |
74 ms |
12792 KB |
Output is correct |
82 |
Correct |
74 ms |
12880 KB |
Output is correct |