#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <vector>
using namespace std;
int N, dp[100005][2], ans[100005], conn[100005], seen[100005]; // 0 = isolated, 1 = attached
vector<int> graph[100005], g2[100005];
vector<int> broken[100005], unbroken[100005];
vector<int> order;
int sz[100005], ans2[100005];
long long tot;
vector<int> nds;
void dfs(int x, int p) {
dp[x][1] = 0;
int mindiff = 2069696969;
for (int v : graph[x]) {
if (v != p) {
dfs(v, x);
int df = max(0, dp[v][0] + 1 - dp[v][1]);
if (mindiff > df) {
mindiff = df;
conn[x] = v;
}
if (dp[v][0] + 1 > dp[v][1]) {
broken[x].push_back(v);
dp[x][1] += dp[v][0] + 1;
} else {
unbroken[x].push_back(v);
dp[x][1] += dp[v][1];
}
}
}
dp[x][0] = dp[x][1] - mindiff;
}
void dfs2(int x, int state) {
int keep = -1;
if (state == 0) {
keep = conn[x];
}
if (keep != -1) {
g2[x].push_back(keep);
g2[keep].push_back(x);
dfs2(keep, 1);
}
for (int v : broken[x]) {
if (v != keep) {
dfs2(v, 0);
}
}
for (int v : unbroken[x]) {
if (v != keep) {
g2[x].push_back(v);
g2[v].push_back(x);
dfs2(v, 1);
}
}
}
void dfs3(int x, int p) {
seen[x] = 1;
order.push_back(x);
for (int v : g2[x]) if (v != p) dfs3(v, x);
}
void dfs4(int x, int p) {
sz[x] = 1;
for (int v : graph[x]) if (v != p) {
dfs4(v, x);
tot += min(sz[v], N - sz[v]);
sz[x] += sz[v];
}
}
void dfs5(int x, int p) {
nds.push_back(x);
for (int v : graph[x]) if (v != p) dfs5(v, x);
}
int main() {
scanf("%d", &N);
for (int i = 0; i < N-1; i++) {
int a, b;
scanf("%d %d", &a, &b);
graph[a].push_back(b);
graph[b].push_back(a);
}
dfs(1, 1);
dfs2(1, 0); // Create g2
for (int i = 1; i <= N; i++) {
if (!seen[i]) {
order.clear();
dfs3(i, i);
for (int j = 0; j < order.size(); j++) {
ans[order[j]] = order[(j+1)%order.size()];
}
}
}
// Find centroid
dfs4(1, 1);
int cent = 1, rip = 1;
while (rip) {
rip = 0;
for (int v : graph[cent]) {
if (sz[v] < sz[cent] && sz[v] > (sz[1] / 2)) {
rip = 1;
cent = v;
break;
}
}
}
// Cent is centroid
for (int v : graph[cent]) {
dfs5(v, cent);
}
if (nds.size() & 1) {
nds.push_back(cent);
int of = nds.size() / 2;
for (int i = 0; i + of < nds.size(); i++) {
ans2[nds[i]] = nds[i + of];
ans2[nds[i+of]] = nds[i];
}
} else {
int of = nds.size() / 2;
ans2[nds[0]] = cent;
ans2[cent] = nds[of];
ans2[nds[of]] = nds[0];
for (int i = 1; i + of < nds.size(); i++) {
ans2[nds[i]] = nds[i+of];
ans2[nds[i+of]] = nds[i];
}
}
printf("%d %lld\n", 2 * (N-1-dp[1][0]), 2 * tot);
for (int i = 1; i <= N; i++) {
if (i == 1) printf("%d", ans[i]);
else printf(" %d", ans[i]);
} printf("\n");
for (int i = 1; i <= N; i++) {
if (i == 1) printf("%d", ans2[i]);
else printf(" %d", ans2[i]);
} printf("\n");
}
Compilation message
Village.cpp: In function 'int main()':
Village.cpp:98:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
98 | for (int j = 0; j < order.size(); j++) {
| ~~^~~~~~~~~~~~~~
Village.cpp:123:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
123 | for (int i = 0; i + of < nds.size(); i++) {
| ~~~~~~~^~~~~~~~~~~~
Village.cpp:132:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
132 | for (int i = 1; i + of < nds.size(); i++) {
| ~~~~~~~^~~~~~~~~~~~
Village.cpp:85:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
85 | scanf("%d", &N);
| ~~~~~^~~~~~~~~~
Village.cpp:88:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
88 | scanf("%d %d", &a, &b);
| ~~~~~^~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
8 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
7 ms |
9728 KB |
Output is correct |
5 |
Correct |
7 ms |
9728 KB |
Output is correct |
6 |
Correct |
7 ms |
9728 KB |
Output is correct |
7 |
Correct |
7 ms |
9728 KB |
Output is correct |
8 |
Correct |
7 ms |
9728 KB |
Output is correct |
9 |
Correct |
7 ms |
9728 KB |
Output is correct |
10 |
Correct |
7 ms |
9728 KB |
Output is correct |
11 |
Correct |
7 ms |
9728 KB |
Output is correct |
12 |
Correct |
7 ms |
9728 KB |
Output is correct |
13 |
Correct |
7 ms |
9728 KB |
Output is correct |
14 |
Correct |
7 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9728 KB |
Output is correct |
16 |
Correct |
6 ms |
9728 KB |
Output is correct |
17 |
Correct |
7 ms |
9728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
7 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
8 ms |
9856 KB |
Output is correct |
5 |
Correct |
8 ms |
9856 KB |
Output is correct |
6 |
Correct |
8 ms |
9856 KB |
Output is correct |
7 |
Correct |
8 ms |
9856 KB |
Output is correct |
8 |
Correct |
8 ms |
9900 KB |
Output is correct |
9 |
Correct |
8 ms |
9888 KB |
Output is correct |
10 |
Correct |
8 ms |
9856 KB |
Output is correct |
11 |
Correct |
8 ms |
9856 KB |
Output is correct |
12 |
Correct |
7 ms |
9856 KB |
Output is correct |
13 |
Correct |
7 ms |
9856 KB |
Output is correct |
14 |
Correct |
8 ms |
9856 KB |
Output is correct |
15 |
Correct |
8 ms |
9856 KB |
Output is correct |
16 |
Correct |
9 ms |
9984 KB |
Output is correct |
17 |
Correct |
8 ms |
9856 KB |
Output is correct |
18 |
Correct |
7 ms |
9856 KB |
Output is correct |
19 |
Correct |
8 ms |
9856 KB |
Output is correct |
20 |
Correct |
8 ms |
9856 KB |
Output is correct |
21 |
Correct |
8 ms |
9856 KB |
Output is correct |
22 |
Correct |
7 ms |
9856 KB |
Output is correct |
23 |
Correct |
7 ms |
9856 KB |
Output is correct |
24 |
Correct |
7 ms |
9856 KB |
Output is correct |
25 |
Correct |
7 ms |
9728 KB |
Output is correct |
26 |
Correct |
8 ms |
9856 KB |
Output is correct |
27 |
Correct |
7 ms |
9776 KB |
Output is correct |
28 |
Correct |
8 ms |
9856 KB |
Output is correct |
29 |
Correct |
8 ms |
9856 KB |
Output is correct |
30 |
Correct |
8 ms |
9856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
8 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
7 ms |
9728 KB |
Output is correct |
5 |
Correct |
7 ms |
9728 KB |
Output is correct |
6 |
Correct |
7 ms |
9728 KB |
Output is correct |
7 |
Correct |
7 ms |
9728 KB |
Output is correct |
8 |
Correct |
7 ms |
9728 KB |
Output is correct |
9 |
Correct |
7 ms |
9728 KB |
Output is correct |
10 |
Correct |
7 ms |
9728 KB |
Output is correct |
11 |
Correct |
7 ms |
9728 KB |
Output is correct |
12 |
Correct |
7 ms |
9728 KB |
Output is correct |
13 |
Correct |
7 ms |
9728 KB |
Output is correct |
14 |
Correct |
7 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9728 KB |
Output is correct |
16 |
Correct |
6 ms |
9728 KB |
Output is correct |
17 |
Correct |
7 ms |
9728 KB |
Output is correct |
18 |
Correct |
7 ms |
9728 KB |
Output is correct |
19 |
Correct |
7 ms |
9728 KB |
Output is correct |
20 |
Correct |
7 ms |
9728 KB |
Output is correct |
21 |
Correct |
8 ms |
9856 KB |
Output is correct |
22 |
Correct |
8 ms |
9856 KB |
Output is correct |
23 |
Correct |
8 ms |
9856 KB |
Output is correct |
24 |
Correct |
8 ms |
9856 KB |
Output is correct |
25 |
Correct |
8 ms |
9900 KB |
Output is correct |
26 |
Correct |
8 ms |
9888 KB |
Output is correct |
27 |
Correct |
8 ms |
9856 KB |
Output is correct |
28 |
Correct |
8 ms |
9856 KB |
Output is correct |
29 |
Correct |
7 ms |
9856 KB |
Output is correct |
30 |
Correct |
7 ms |
9856 KB |
Output is correct |
31 |
Correct |
8 ms |
9856 KB |
Output is correct |
32 |
Correct |
8 ms |
9856 KB |
Output is correct |
33 |
Correct |
9 ms |
9984 KB |
Output is correct |
34 |
Correct |
8 ms |
9856 KB |
Output is correct |
35 |
Correct |
7 ms |
9856 KB |
Output is correct |
36 |
Correct |
8 ms |
9856 KB |
Output is correct |
37 |
Correct |
8 ms |
9856 KB |
Output is correct |
38 |
Correct |
8 ms |
9856 KB |
Output is correct |
39 |
Correct |
7 ms |
9856 KB |
Output is correct |
40 |
Correct |
7 ms |
9856 KB |
Output is correct |
41 |
Correct |
7 ms |
9856 KB |
Output is correct |
42 |
Correct |
7 ms |
9728 KB |
Output is correct |
43 |
Correct |
8 ms |
9856 KB |
Output is correct |
44 |
Correct |
7 ms |
9776 KB |
Output is correct |
45 |
Correct |
8 ms |
9856 KB |
Output is correct |
46 |
Correct |
8 ms |
9856 KB |
Output is correct |
47 |
Correct |
8 ms |
9856 KB |
Output is correct |
48 |
Correct |
146 ms |
21360 KB |
Output is correct |
49 |
Correct |
167 ms |
22640 KB |
Output is correct |
50 |
Correct |
170 ms |
22512 KB |
Output is correct |
51 |
Correct |
126 ms |
19696 KB |
Output is correct |
52 |
Correct |
160 ms |
22384 KB |
Output is correct |
53 |
Correct |
146 ms |
21104 KB |
Output is correct |
54 |
Correct |
81 ms |
21752 KB |
Output is correct |
55 |
Correct |
196 ms |
34248 KB |
Output is correct |
56 |
Correct |
192 ms |
28144 KB |
Output is correct |
57 |
Correct |
190 ms |
26224 KB |
Output is correct |
58 |
Correct |
184 ms |
24756 KB |
Output is correct |
59 |
Correct |
162 ms |
22384 KB |
Output is correct |
60 |
Correct |
100 ms |
21612 KB |
Output is correct |
61 |
Correct |
116 ms |
21348 KB |
Output is correct |
62 |
Correct |
133 ms |
21752 KB |
Output is correct |
63 |
Correct |
116 ms |
21116 KB |
Output is correct |
64 |
Correct |
139 ms |
22004 KB |
Output is correct |
65 |
Correct |
124 ms |
22136 KB |
Output is correct |
66 |
Correct |
115 ms |
21232 KB |
Output is correct |
67 |
Correct |
77 ms |
18416 KB |
Output is correct |
68 |
Correct |
108 ms |
20336 KB |
Output is correct |
69 |
Correct |
117 ms |
22256 KB |
Output is correct |
70 |
Correct |
116 ms |
21488 KB |
Output is correct |
71 |
Correct |
81 ms |
18428 KB |
Output is correct |
72 |
Correct |
92 ms |
19576 KB |
Output is correct |
73 |
Correct |
118 ms |
22256 KB |
Output is correct |
74 |
Correct |
105 ms |
21104 KB |
Output is correct |
75 |
Correct |
168 ms |
22000 KB |
Output is correct |
76 |
Correct |
158 ms |
21492 KB |
Output is correct |
77 |
Correct |
129 ms |
21612 KB |
Output is correct |
78 |
Correct |
90 ms |
17776 KB |
Output is correct |
79 |
Correct |
107 ms |
18932 KB |
Output is correct |
80 |
Correct |
164 ms |
22000 KB |
Output is correct |
81 |
Correct |
134 ms |
21868 KB |
Output is correct |
82 |
Correct |
122 ms |
21620 KB |
Output is correct |