#include <queue>
#include <cstdio>
#include <vector>
#include <numeric>
#include <algorithm>
using namespace std;
const int MAX = 100006;
int n, maxDepth[MAX], depth[MAX], childs[MAX], sz[MAX];
vector<int> adj[MAX], c[MAX];
int nextShort[MAX], e[MAX], resShort;
int nextLong[MAX];
long long resLong;
bool visited[MAX];
vector<int> tmp[MAX];
int tok[MAX];
int dfs(int x, int prev = -1) {
sz[x] = 1;
for (auto &i: adj[x]) if (i != prev) {
c[x].push_back(i);
sz[x] += dfs(i, x);
}
return sz[x];
}
int centroid(int x, int prev = -1) {
for (auto &i: adj[x]) if (i != prev && sz[i] > n / 2) return centroid(i, x);
return x;
}
void dfsShort(int x) {
e[x] = x;
vector<int> zero;
for (auto &i: c[x]) {
if (!childs[i]) zero.push_back(i), e[x] = i;
else {
dfsShort(i);
if (childs[i]) childs[x]--;
else zero.push_back(i), e[x] = i;
}
}
if (!childs[x]) return;
if (zero.empty()) return;
nextShort[x] = zero[0];
for (int i = 0; i < (int)zero.size(); i++) {
if (i != (int)zero.size() - 1) nextShort[zero[i]] = zero[i + 1];
else nextShort[zero[i]] = x;
resShort += 2;
}
}
void depthFrom(int x, int prev = -1) {
maxDepth[x] = depth[x];
for (auto &i: adj[x]) if (i != prev && !visited[i]) {
depth[i] = depth[x] + 1;
depthFrom(i, x);
maxDepth[x] = max(maxDepth[x], maxDepth[i]);
}
}
pair<int, int> farthest(int x, int prev = -1) {
for (auto &i: adj[x]) if (i != prev && !visited[i]) {
if (maxDepth[i] == maxDepth[x]) {
pair<int, int> t = farthest(i, x);
return { t.first, t.second + 1 };
}
}
return { x, 0 };
}
void fl(int x, int prev, vector<int> &f) {
f.push_back(x);
for (auto &i: adj[x]) if (i != prev) fl(i, x, f);
}
int main() {
scanf("%d", &n);
fill(nextShort, nextShort + n, -1);
for (int i = 0; i < n - 1; i++) {
int u, v;
scanf("%d%d", &u, &v);
u--, v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs(0);
int ct = centroid(0);
for (int i = 0; i < n; i++) childs[i] = (int)c[i].size();
dfsShort(0);
if (nextShort[0] == -1) {
nextShort[0] = c[0][0];
nextShort[e[c[0][0]]] = 0;
resShort += 2;
}
for (int i = 0; i < n; i++) c[i].clear();
dfs(ct);
depth[ct] = 0;
depthFrom(ct);
vector<pair<int, int>> v;
for (auto &i: adj[ct]) v.push_back({ sz[i], i });
sort(v.begin(), v.end());
swap(v.front(), v.back());
int remainSum = 0;
for (int i = 1; i < (int)v.size(); i++) remainSum += v[i].first;
queue<pair<int, int>> q;
vector<pair<int, int>> u;
for (auto &i: adj[ct]) if (i != v[0].second) u.push_back({ i, sz[i] });
vector<int> res;
for (auto &i: u) q.push(i);
while (!q.empty()) {
auto t = q.front(); q.pop();
if (!t.second) continue;
t.second--;
res.push_back(t.first);
q.push(t);
}
int k = 0;
vector<int> r;
while (remainSum > v[0].first) {
r.push_back(res[k++]);
remainSum--;
}
while (v[0].first) {
r.push_back(v[0].second);
v[0].first--;
if (remainSum) r.push_back(res[k++]), remainSum--;
}
for (int i = 0; i < (int)v.size(); i++) fl(v[i].second, ct, tmp[v[i].second]);
vector<int> fin;
for (auto &i: r) {
resLong += depth[tmp[i][tok[i]]] * 2;
fin.push_back(tmp[i][tok[i]++]);
}
for (int i = 0; i < n - 2; i++) nextLong[fin[i]] = fin[i + 1];
nextLong[fin[n - 2]] = ct;
nextLong[ct] = fin[0];
printf("%d %lld\n", resShort, resLong);
for (int i = 0; i < n; i++) printf("%d ", nextShort[i] + 1);
puts("");
for (int i = 0; i < n; i++) printf("%d ", nextLong[i] + 1);
}
Compilation message
Village.cpp: In function 'int main()':
Village.cpp:80:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
80 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
Village.cpp:84:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
84 | scanf("%d%d", &u, &v);
| ~~~~~^~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
5 ms |
7404 KB |
Output is correct |
4 |
Correct |
6 ms |
7404 KB |
Output is correct |
5 |
Correct |
5 ms |
7404 KB |
Output is correct |
6 |
Correct |
5 ms |
7404 KB |
Output is correct |
7 |
Correct |
5 ms |
7404 KB |
Output is correct |
8 |
Correct |
5 ms |
7404 KB |
Output is correct |
9 |
Correct |
5 ms |
7404 KB |
Output is correct |
10 |
Correct |
5 ms |
7532 KB |
Output is correct |
11 |
Correct |
5 ms |
7404 KB |
Output is correct |
12 |
Correct |
5 ms |
7404 KB |
Output is correct |
13 |
Correct |
5 ms |
7404 KB |
Output is correct |
14 |
Correct |
5 ms |
7404 KB |
Output is correct |
15 |
Correct |
5 ms |
7404 KB |
Output is correct |
16 |
Correct |
5 ms |
7404 KB |
Output is correct |
17 |
Correct |
5 ms |
7404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
5 ms |
7404 KB |
Output is correct |
4 |
Correct |
6 ms |
7532 KB |
Output is correct |
5 |
Correct |
6 ms |
7532 KB |
Output is correct |
6 |
Correct |
6 ms |
7532 KB |
Output is correct |
7 |
Correct |
6 ms |
7532 KB |
Output is correct |
8 |
Correct |
6 ms |
7532 KB |
Output is correct |
9 |
Correct |
6 ms |
7532 KB |
Output is correct |
10 |
Correct |
6 ms |
7532 KB |
Output is correct |
11 |
Correct |
6 ms |
7532 KB |
Output is correct |
12 |
Correct |
6 ms |
7660 KB |
Output is correct |
13 |
Correct |
6 ms |
7532 KB |
Output is correct |
14 |
Correct |
6 ms |
7532 KB |
Output is correct |
15 |
Correct |
6 ms |
7552 KB |
Output is correct |
16 |
Correct |
7 ms |
7532 KB |
Output is correct |
17 |
Correct |
6 ms |
7532 KB |
Output is correct |
18 |
Correct |
7 ms |
7532 KB |
Output is correct |
19 |
Correct |
6 ms |
7532 KB |
Output is correct |
20 |
Correct |
5 ms |
7532 KB |
Output is correct |
21 |
Correct |
6 ms |
7532 KB |
Output is correct |
22 |
Correct |
5 ms |
7532 KB |
Output is correct |
23 |
Correct |
6 ms |
7532 KB |
Output is correct |
24 |
Correct |
5 ms |
7532 KB |
Output is correct |
25 |
Correct |
7 ms |
7404 KB |
Output is correct |
26 |
Correct |
6 ms |
7532 KB |
Output is correct |
27 |
Correct |
7 ms |
7404 KB |
Output is correct |
28 |
Correct |
6 ms |
7532 KB |
Output is correct |
29 |
Correct |
6 ms |
7532 KB |
Output is correct |
30 |
Correct |
6 ms |
7532 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
7404 KB |
Output is correct |
2 |
Correct |
5 ms |
7404 KB |
Output is correct |
3 |
Correct |
5 ms |
7404 KB |
Output is correct |
4 |
Correct |
6 ms |
7404 KB |
Output is correct |
5 |
Correct |
5 ms |
7404 KB |
Output is correct |
6 |
Correct |
5 ms |
7404 KB |
Output is correct |
7 |
Correct |
5 ms |
7404 KB |
Output is correct |
8 |
Correct |
5 ms |
7404 KB |
Output is correct |
9 |
Correct |
5 ms |
7404 KB |
Output is correct |
10 |
Correct |
5 ms |
7532 KB |
Output is correct |
11 |
Correct |
5 ms |
7404 KB |
Output is correct |
12 |
Correct |
5 ms |
7404 KB |
Output is correct |
13 |
Correct |
5 ms |
7404 KB |
Output is correct |
14 |
Correct |
5 ms |
7404 KB |
Output is correct |
15 |
Correct |
5 ms |
7404 KB |
Output is correct |
16 |
Correct |
5 ms |
7404 KB |
Output is correct |
17 |
Correct |
5 ms |
7404 KB |
Output is correct |
18 |
Correct |
5 ms |
7404 KB |
Output is correct |
19 |
Correct |
5 ms |
7404 KB |
Output is correct |
20 |
Correct |
5 ms |
7404 KB |
Output is correct |
21 |
Correct |
6 ms |
7532 KB |
Output is correct |
22 |
Correct |
6 ms |
7532 KB |
Output is correct |
23 |
Correct |
6 ms |
7532 KB |
Output is correct |
24 |
Correct |
6 ms |
7532 KB |
Output is correct |
25 |
Correct |
6 ms |
7532 KB |
Output is correct |
26 |
Correct |
6 ms |
7532 KB |
Output is correct |
27 |
Correct |
6 ms |
7532 KB |
Output is correct |
28 |
Correct |
6 ms |
7532 KB |
Output is correct |
29 |
Correct |
6 ms |
7660 KB |
Output is correct |
30 |
Correct |
6 ms |
7532 KB |
Output is correct |
31 |
Correct |
6 ms |
7532 KB |
Output is correct |
32 |
Correct |
6 ms |
7552 KB |
Output is correct |
33 |
Correct |
7 ms |
7532 KB |
Output is correct |
34 |
Correct |
6 ms |
7532 KB |
Output is correct |
35 |
Correct |
7 ms |
7532 KB |
Output is correct |
36 |
Correct |
6 ms |
7532 KB |
Output is correct |
37 |
Correct |
5 ms |
7532 KB |
Output is correct |
38 |
Correct |
6 ms |
7532 KB |
Output is correct |
39 |
Correct |
5 ms |
7532 KB |
Output is correct |
40 |
Correct |
6 ms |
7532 KB |
Output is correct |
41 |
Correct |
5 ms |
7532 KB |
Output is correct |
42 |
Correct |
7 ms |
7404 KB |
Output is correct |
43 |
Correct |
6 ms |
7532 KB |
Output is correct |
44 |
Correct |
7 ms |
7404 KB |
Output is correct |
45 |
Correct |
6 ms |
7532 KB |
Output is correct |
46 |
Correct |
6 ms |
7532 KB |
Output is correct |
47 |
Correct |
6 ms |
7532 KB |
Output is correct |
48 |
Correct |
126 ms |
17384 KB |
Output is correct |
49 |
Correct |
151 ms |
18276 KB |
Output is correct |
50 |
Correct |
149 ms |
18408 KB |
Output is correct |
51 |
Correct |
113 ms |
16016 KB |
Output is correct |
52 |
Correct |
147 ms |
18156 KB |
Output is correct |
53 |
Correct |
121 ms |
17124 KB |
Output is correct |
54 |
Correct |
76 ms |
18408 KB |
Output is correct |
55 |
Correct |
200 ms |
30180 KB |
Output is correct |
56 |
Correct |
184 ms |
23652 KB |
Output is correct |
57 |
Correct |
166 ms |
21860 KB |
Output is correct |
58 |
Correct |
176 ms |
20260 KB |
Output is correct |
59 |
Correct |
137 ms |
18156 KB |
Output is correct |
60 |
Correct |
119 ms |
21996 KB |
Output is correct |
61 |
Correct |
104 ms |
17992 KB |
Output is correct |
62 |
Correct |
100 ms |
17624 KB |
Output is correct |
63 |
Correct |
91 ms |
17132 KB |
Output is correct |
64 |
Correct |
120 ms |
17568 KB |
Output is correct |
65 |
Correct |
99 ms |
18024 KB |
Output is correct |
66 |
Correct |
86 ms |
17380 KB |
Output is correct |
67 |
Correct |
63 ms |
15152 KB |
Output is correct |
68 |
Correct |
90 ms |
16168 KB |
Output is correct |
69 |
Correct |
95 ms |
18024 KB |
Output is correct |
70 |
Correct |
87 ms |
17392 KB |
Output is correct |
71 |
Correct |
61 ms |
14632 KB |
Output is correct |
72 |
Correct |
74 ms |
15528 KB |
Output is correct |
73 |
Correct |
103 ms |
18020 KB |
Output is correct |
74 |
Correct |
86 ms |
17124 KB |
Output is correct |
75 |
Correct |
142 ms |
17896 KB |
Output is correct |
76 |
Correct |
161 ms |
17384 KB |
Output is correct |
77 |
Correct |
119 ms |
17156 KB |
Output is correct |
78 |
Correct |
74 ms |
13988 KB |
Output is correct |
79 |
Correct |
115 ms |
15012 KB |
Output is correct |
80 |
Correct |
139 ms |
17896 KB |
Output is correct |
81 |
Correct |
107 ms |
17356 KB |
Output is correct |
82 |
Correct |
105 ms |
17192 KB |
Output is correct |