#include "bits/stdc++.h"
#define int long long
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
using namespace std;
const long long INF = 1ll << 60;
const int N = 1000 + 5;
vector<int> adj[N], V[N], order;
bitset<N> leaf;
void dfs(int v, int p) {
V[v] = {0};
for (auto u: adj[v]) if (u != p) {
dfs(u, v);
V[v].push_back(V[u][0] + 1);
}
sort(V[v].rbegin(), V[v].rend());
}
void dfs2(int v, int p) {
order.push_back(v);
for (auto u: adj[v]) if (u != p && adj[u].size() == 1)
order.push_back(u);
for (auto u: adj[v]) if (u != p && adj[u].size() > 1)
dfs(u, v);
}
signed main() {
ios::sync_with_stdio(0), cin.tie(0);
int n, m;
cin >> n >> m;
if (m >= n) {
cout << "NO\n";
return 0;
}
if (n <= 2) {
cout << "YES\n";
cout << n << '\n';
FOR(i, 0, n) cout << 1 << ' ';
return 0;
}
FOR(i, 1, n) {
int u, v; cin >> u >> v;
u--, v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
FOR(i, 0, n) leaf[i] = adj[i].size() == 1;
FOR(i, 0, n) if (!leaf[i]) {
vector<int> t;
for (auto u: adj[i]) if (!leaf[u]) t.push_back(u);
adj[i] = t;
}
//is caterpillar?
FOR(i, 0, n) {
FOR(j, 0, n) V[j].clear();
dfs(i, i);
if (V[i].size() >= 3 && V[i][2] >= 2) {
cout << "NO\n";
return 0;
}
}
int rt = -1;
FOR(i, 0, n) if (!leaf[i] && adj[i].size() <= 1) rt = i;
dfs2(rt, rt);
cout << order.size() * 2 << '\n';
for (auto u: order) cout << u + 1 << ' ';
reverse(order.begin(), order.end());
for (auto u: order) cout << u + 1 << ' ';
cout << '\n';
return 0;
}
//Reading this fills you with ....
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Incorrect |
0 ms |
340 KB |
Token "2" doesn't correspond to pattern "YES|NO" |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Incorrect |
0 ms |
340 KB |
Token "2" doesn't correspond to pattern "YES|NO" |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Incorrect |
0 ms |
340 KB |
Token "2" doesn't correspond to pattern "YES|NO" |
4 |
Halted |
0 ms |
0 KB |
- |