#include <bits/stdc++.h>
using namespace std;
#define int long long
#define sp << ' ' <<
#define nl << '\n'
const int MAXN = 1e5;
int n, s[MAXN], c, ans[2][MAXN], ansMax = 0, ansMin = 0;
vector<int> g[MAXN], a[MAXN];
void find(int u){
int mx = 0; s[u] = 1;
for(int v : g[u]){
if(s[v]) continue;
find(v), s[u] += s[v];
mx = max(mx, s[v]);
ansMax += min(n - s[v], s[v]);
if(ans[0][v] == v) swap(ans[0][u], ans[0][v]), ansMin += 2;
}
if(max(mx, n - s[u]) <= n/2) c = u;
}
void add(int u, int p, vector<int> &b){
b.push_back(u);
for(int v : g[u]) if(v != p) add(v, u, b);
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
int x, y; cin >> n;
for(int i=1; i<n; ++i){
cin >> x >> y; --x, --y;
g[x].push_back(y);
g[y].push_back(x);
}
for(int i=0; i<2; ++i) iota(ans[i], ans[i]+n, 0LL);
find(0);
priority_queue<array<int, 2>> q;
if(n & 1) swap(ans[1][c], ans[1][!c]);
else a[c].push_back(c), q.push({1, c});
for(int u : g[c]){
add(u, c, a[u]);
q.push({(int)a[u].size(), u});
}
while(!q.empty()){
assert(q.size() > 1);
array<int, 2> u = q.top(); q.pop();
array<int, 2> v = q.top(); q.pop();
swap(ans[1][a[u[1]].back()], ans[1][a[v[1]].back()]);
a[u[1]].pop_back(), a[v[1]].pop_back();
if(--u[0]) q.push(u);
if(--v[0]) q.push(v);
}
for(int i=0; i<n; ++i) if(ans[0][i] == i) swap(ans[0][i], ans[0][g[i][0]]), ansMin += 2;
cout << ansMin sp 2 * ansMax nl;
for(int i=0; i<2; ++i){
for(int j=0; j<n; ++j) cout << ans[i][j] + 1 << ' ';
cout nl;
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 3 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 4 |
Correct |
4 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 |
5020 KB |
Output is correct |
| 8 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 9 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 10 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 12 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 13 |
Correct |
4 ms |
4924 KB |
Output is correct |
| 14 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 16 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 17 |
Correct |
3 ms |
4940 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 3 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 4 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 5 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 6 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5024 KB |
Output is correct |
| 8 |
Correct |
4 ms |
5036 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 |
5068 KB |
Output is correct |
| 12 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 13 |
Correct |
5 ms |
5068 KB |
Output is correct |
| 14 |
Correct |
5 ms |
5068 KB |
Output is correct |
| 15 |
Correct |
5 ms |
5068 KB |
Output is correct |
| 16 |
Correct |
4 ms |
5068 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 |
5068 KB |
Output is correct |
| 22 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 23 |
Correct |
5 ms |
5068 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 |
5 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 |
5068 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 3 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 4 |
Correct |
4 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 |
5020 KB |
Output is correct |
| 8 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 9 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 10 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 12 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 13 |
Correct |
4 ms |
4924 KB |
Output is correct |
| 14 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 16 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 17 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 18 |
Correct |
3 ms |
4940 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 |
5068 KB |
Output is correct |
| 22 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 23 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 24 |
Correct |
4 ms |
5024 KB |
Output is correct |
| 25 |
Correct |
4 ms |
5036 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 |
5 ms |
5068 KB |
Output is correct |
| 31 |
Correct |
5 ms |
5068 KB |
Output is correct |
| 32 |
Correct |
5 ms |
5068 KB |
Output is correct |
| 33 |
Correct |
4 ms |
5068 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 |
5068 KB |
Output is correct |
| 39 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 40 |
Correct |
5 ms |
5068 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 |
5 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 |
5068 KB |
Output is correct |
| 48 |
Correct |
75 ms |
13524 KB |
Output is correct |
| 49 |
Correct |
93 ms |
14456 KB |
Output is correct |
| 50 |
Correct |
99 ms |
14456 KB |
Output is correct |
| 51 |
Correct |
61 ms |
12360 KB |
Output is correct |
| 52 |
Correct |
80 ms |
14440 KB |
Output is correct |
| 53 |
Correct |
73 ms |
13416 KB |
Output is correct |
| 54 |
Correct |
40 ms |
12224 KB |
Output is correct |
| 55 |
Correct |
101 ms |
19772 KB |
Output is correct |
| 56 |
Correct |
90 ms |
17080 KB |
Output is correct |
| 57 |
Correct |
98 ms |
16084 KB |
Output is correct |
| 58 |
Correct |
87 ms |
15160 KB |
Output is correct |
| 59 |
Correct |
91 ms |
14496 KB |
Output is correct |
| 60 |
Correct |
123 ms |
18196 KB |
Output is correct |
| 61 |
Correct |
79 ms |
15372 KB |
Output is correct |
| 62 |
Correct |
76 ms |
14660 KB |
Output is correct |
| 63 |
Correct |
81 ms |
14100 KB |
Output is correct |
| 64 |
Correct |
78 ms |
14784 KB |
Output is correct |
| 65 |
Correct |
97 ms |
14920 KB |
Output is correct |
| 66 |
Correct |
82 ms |
14368 KB |
Output is correct |
| 67 |
Correct |
62 ms |
12664 KB |
Output is correct |
| 68 |
Correct |
66 ms |
13384 KB |
Output is correct |
| 69 |
Correct |
85 ms |
15016 KB |
Output is correct |
| 70 |
Correct |
71 ms |
14400 KB |
Output is correct |
| 71 |
Correct |
52 ms |
11864 KB |
Output is correct |
| 72 |
Correct |
57 ms |
12704 KB |
Output is correct |
| 73 |
Correct |
78 ms |
15024 KB |
Output is correct |
| 74 |
Correct |
67 ms |
14196 KB |
Output is correct |
| 75 |
Correct |
98 ms |
14748 KB |
Output is correct |
| 76 |
Correct |
78 ms |
14448 KB |
Output is correct |
| 77 |
Correct |
76 ms |
14528 KB |
Output is correct |
| 78 |
Correct |
48 ms |
11456 KB |
Output is correct |
| 79 |
Correct |
60 ms |
12468 KB |
Output is correct |
| 80 |
Correct |
92 ms |
14880 KB |
Output is correct |
| 81 |
Correct |
76 ms |
14708 KB |
Output is correct |
| 82 |
Correct |
80 ms |
14536 KB |
Output is correct |
