#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
int main() {
int n, m;
cin >> n >> m;
if (n == 1) {
cout << "YES\n";
cout << "1\n";
cout << "1\n";
return 0;
}
if (n == 2) {
cout << "YES\n";
cout << "2\n";
cout << "1 1\n";
return 0;
}
if (m >= n) {
cout << "NO\n";
return 0;
}
vector<vector<int>> adj(n);
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
vector<int> dep(n);
pair<int, int> mx{-1, -1};
function<void(int, int)> dfs = [&](int u, int p) {
mx = max(mx, pair(dep[u], u));
for (int v : adj[u]) {
if (v != p) {
dep[v] = dep[u] + 1;
dfs(v, u);
}
}
};
dfs(0, -1);
int last = mx.second;
mx = {-1, -1};
dep[last] = 0;
dfs(last, -1);
int u = mx.second;
vector<int> g;
function<bool(int, int)> dfs2 = [&](int u, int p) {
if (u == last) {
g.push_back(u);
return true;
}
for (int v : adj[u]) {
if (v != p && dfs2(v, u)) {
g.push_back(u);
return true;
}
}
return false;
};
dfs2(u, -1);
int p = g.size() / 2;
u = g[p];
int l = -1, r = -1;
if (p > 0) {
l = g[p - 1];
}
if (p < int(g.size()) - 1) {
r = g[p + 1];
}
vector<int> mxdep(n), par(n);
dfs = [&](int u, int p) {
par[u] = p;
mxdep[u] = u;
for (int v : adj[u]) {
if (v != p) {
dep[v] = dep[u] + 1;
dfs(v, u);
if (dep[mxdep[v]] > dep[mxdep[u]]) {
mxdep[u] = mxdep[v];
}
}
}
};
dep[u] = 0;
dfs(u, -1);
for (int i = 0; i < n; i++) {
int c = 0;
for (int v : adj[i]) {
if (dep[mxdep[v]] - dep[i] >= 3) {
c++;
}
}
if (c >= 3) {
cout << "NO\n";
return 0;
}
}
std::vector<int> a;
int s = adj[last][0];
for (int &v : adj[u]) {
if (v == l) {
swap(v, adj[u][0]);
}
if (v == r) {
swap(v, adj[u].back());
}
}
dfs(u, -1);
int lst = -1;
sort(g.begin(), g.end());
dfs = [&](int u, int p) {
a.push_back(u);
lst = u;
for (int v : adj[u]) {
if (v != p && adj[v].size() > 1 && !binary_search(g.begin(), g.end(), v)) {
dfs(v, u);
a.push_back(u);
}
}
for (int v : adj[u]) {
if (v != p && adj[v].size() > 1 && binary_search(g.begin(), g.end(), v)) {
dfs(v, u);
a.push_back(u);
}
}
};
dfs(s, -1);
while (a.back() != lst)
a.pop_back();
cout << "YES\n";
cout << 2 * a.size() << "\n";
for (int x : a) {
cout << x + 1 << " ";
}
reverse(a.begin(), a.end());
for (int x : a) {
cout << x + 1 << " ";
}
cout << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
252 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
0 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
252 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
212 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
0 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
212 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
1 ms |
212 KB |
Output is correct |
67 |
Correct |
0 ms |
212 KB |
Output is correct |
68 |
Correct |
1 ms |
212 KB |
Output is correct |
69 |
Correct |
0 ms |
212 KB |
Output is correct |
70 |
Correct |
0 ms |
212 KB |
Output is correct |
71 |
Correct |
1 ms |
212 KB |
Output is correct |
72 |
Correct |
0 ms |
212 KB |
Output is correct |
73 |
Correct |
0 ms |
212 KB |
Output is correct |
74 |
Correct |
0 ms |
212 KB |
Output is correct |
75 |
Correct |
1 ms |
212 KB |
Output is correct |
76 |
Correct |
1 ms |
212 KB |
Output is correct |
77 |
Correct |
0 ms |
212 KB |
Output is correct |
78 |
Correct |
0 ms |
212 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
328 KB |
Output is correct |
81 |
Correct |
1 ms |
340 KB |
Output is correct |
82 |
Correct |
1 ms |
340 KB |
Output is correct |
83 |
Correct |
1 ms |
340 KB |
Output is correct |
84 |
Correct |
1 ms |
340 KB |
Output is correct |
85 |
Correct |
2 ms |
340 KB |
Output is correct |
86 |
Correct |
2 ms |
340 KB |
Output is correct |
87 |
Correct |
1 ms |
340 KB |
Output is correct |
88 |
Correct |
1 ms |
340 KB |
Output is correct |
89 |
Correct |
1 ms |
340 KB |
Output is correct |
90 |
Correct |
1 ms |
340 KB |
Output is correct |
91 |
Correct |
1 ms |
340 KB |
Output is correct |
92 |
Correct |
1 ms |
340 KB |
Output is correct |
93 |
Correct |
1 ms |
340 KB |
Output is correct |
94 |
Correct |
1 ms |
340 KB |
Output is correct |
95 |
Correct |
1 ms |
340 KB |
Output is correct |
96 |
Correct |
1 ms |
340 KB |
Output is correct |
97 |
Correct |
1 ms |
340 KB |
Output is correct |
98 |
Correct |
1 ms |
340 KB |
Output is correct |
99 |
Correct |
1 ms |
340 KB |
Output is correct |
100 |
Correct |
1 ms |
340 KB |
Output is correct |
101 |
Correct |
1 ms |
340 KB |
Output is correct |
102 |
Correct |
1 ms |
340 KB |
Output is correct |
103 |
Correct |
2 ms |
340 KB |
Output is correct |
104 |
Correct |
1 ms |
340 KB |
Output is correct |
105 |
Correct |
1 ms |
332 KB |
Output is correct |
106 |
Correct |
1 ms |
340 KB |
Output is correct |
107 |
Correct |
1 ms |
340 KB |
Output is correct |
108 |
Correct |
1 ms |
340 KB |
Output is correct |
109 |
Correct |
1 ms |
340 KB |
Output is correct |
110 |
Correct |
1 ms |
340 KB |
Output is correct |
111 |
Correct |
1 ms |
340 KB |
Output is correct |
112 |
Correct |
1 ms |
340 KB |
Output is correct |
113 |
Correct |
1 ms |
340 KB |
Output is correct |
114 |
Correct |
1 ms |
340 KB |
Output is correct |
115 |
Correct |
1 ms |
340 KB |
Output is correct |
116 |
Correct |
2 ms |
340 KB |
Output is correct |
117 |
Correct |
2 ms |
340 KB |
Output is correct |
118 |
Correct |
1 ms |
340 KB |
Output is correct |
119 |
Correct |
1 ms |
340 KB |
Output is correct |
120 |
Correct |
1 ms |
340 KB |
Output is correct |
121 |
Correct |
1 ms |
340 KB |
Output is correct |
122 |
Correct |
1 ms |
340 KB |
Output is correct |
123 |
Correct |
1 ms |
340 KB |
Output is correct |
124 |
Correct |
1 ms |
340 KB |
Output is correct |
125 |
Correct |
1 ms |
340 KB |
Output is correct |
126 |
Correct |
2 ms |
340 KB |
Output is correct |
127 |
Correct |
1 ms |
340 KB |
Output is correct |
128 |
Correct |
1 ms |
340 KB |
Output is correct |
129 |
Correct |
1 ms |
340 KB |
Output is correct |
130 |
Correct |
1 ms |
340 KB |
Output is correct |
131 |
Correct |
1 ms |
340 KB |
Output is correct |
132 |
Correct |
1 ms |
340 KB |
Output is correct |
133 |
Correct |
1 ms |
340 KB |
Output is correct |
134 |
Correct |
0 ms |
212 KB |
Output is correct |
135 |
Correct |
1 ms |
212 KB |
Output is correct |
136 |
Correct |
0 ms |
212 KB |
Output is correct |
137 |
Correct |
0 ms |
212 KB |
Output is correct |
138 |
Correct |
1 ms |
212 KB |
Output is correct |
139 |
Correct |
0 ms |
212 KB |
Output is correct |
140 |
Correct |
0 ms |
212 KB |
Output is correct |
141 |
Correct |
0 ms |
212 KB |
Output is correct |
142 |
Correct |
0 ms |
212 KB |
Output is correct |
143 |
Correct |
0 ms |
212 KB |
Output is correct |
144 |
Correct |
1 ms |
468 KB |
Output is correct |
145 |
Correct |
1 ms |
480 KB |
Output is correct |