#include <iostream>
#include <cassert>
#include <iomanip>
#include <algorithm>
#include <string>
#include <bitset>
#include <vector>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>
#ifndef LOCAL
#include <bits/stdc++.h>
#define cerr if(false)cerr
#endif
using namespace std;
using ll = long long;
const int N = 1e6 + 66;
int cycle;
vector<int>g[N];
int n;
int used[N];
void dfsdfs(int v, int p = -1) {
used[v] = 1;
for (int to : g[v]) if (to != p) {
if (used[to] == 1) cycle = 1;
if (used[to] == 0) dfsdfs(to, v);
}
used[v] = 2;
}
int d[N];
queue<int>q;
int p[N];
int bfs(int v) {
for (int i = 1 ; i <= n ; ++ i) d[i] = ((int)g[i].size() == 1 ? -2 : -1);
d[v] = 0;
p[v] = 0;
q.push(v);
while (q.size()) {
v = q.front(); q.pop();
for (int to : g[v]) if (d[to] == -1) {
d[to] = d[v] + 1;
p[to] = v;
q.push(to);
}
}
for (int i = 1 ; i <= n ; ++ i) if (d[i] > d[v]) v = i;
return v;
}
vector<int>temp;
void go(int v) {
used[v] = 1;
if ((int)g[v].size() == 1) return;
temp.emplace_back(v);
for (int to : g[v]) if (!used[to] && (int)g[to].size() > 1) {
go(to);
temp.emplace_back(v);
}
}
int go(int v, int p1, int d = 1) {
if (d == 3) return 1;
for (int to : g[v]) if (to != p1 && go(to, v, d+1)) return 1;
return 0;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int m;
cin >> n >> m;
if (n == 1) {
cout << "YES\n1\n1";
return 0;
}
if (n == 2) {
cout << "YES\n2\n1 1";
return 0;
}
while (m--) {
int a, b;
cin >> a >> b;
g[a].emplace_back(b);
g[b].emplace_back(a);
}
for (int i = 1 ; i <= n ; ++ i) {
int cnt = 0;
for (int j : g[i]) cnt += go(j, i, 1);
if (cnt >= 3) {
cout << "NO";
return 0;
}
}
for (int i = 1 ; i <= n ; ++ i) if (!used[i]) {
dfsdfs(i);
}
if (cycle) {
cout << "NO";
return 0;
}
for (int i = 1 ; i <= n ; ++ i) used[i] = 0;
vector<int>ans;
int v = -1;
for (int u = 1 ; u <= n ; ++ u) if ((int)g[u].size() >= 2) v = u;
assert(v != -1);
temp.clear();
int x = bfs(v);
int y = bfs(x);
int z = y;
for (int i = 1 ; i <= n ; ++ i) used[i] = 0;
while (z > 0) {
used[z] = 1;
z = p[z];
}
z = y;
while (z > 0) {
go(z);
z = p[z];
}
for (int i : temp) ans.emplace_back(i);
if ((int)temp.size() % 2 == 0) reverse(temp.begin(), temp.end());
for (int i : temp) ans.emplace_back(i);
cout << "YES\n";
cout << ans.size() << "\n";
for (int i : ans) cout << i << " ";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
23828 KB |
Output is correct |
2 |
Correct |
12 ms |
23756 KB |
Output is correct |
3 |
Correct |
13 ms |
23764 KB |
Output is correct |
4 |
Correct |
12 ms |
23824 KB |
Output is correct |
5 |
Correct |
13 ms |
23764 KB |
Output is correct |
6 |
Correct |
15 ms |
23788 KB |
Output is correct |
7 |
Correct |
12 ms |
23820 KB |
Output is correct |
8 |
Correct |
12 ms |
23764 KB |
Output is correct |
9 |
Correct |
15 ms |
23728 KB |
Output is correct |
10 |
Correct |
12 ms |
23764 KB |
Output is correct |
11 |
Correct |
15 ms |
23764 KB |
Output is correct |
12 |
Correct |
12 ms |
23744 KB |
Output is correct |
13 |
Correct |
13 ms |
23760 KB |
Output is correct |
14 |
Correct |
14 ms |
23832 KB |
Output is correct |
15 |
Correct |
13 ms |
23764 KB |
Output is correct |
16 |
Correct |
13 ms |
23820 KB |
Output is correct |
17 |
Correct |
13 ms |
23764 KB |
Output is correct |
18 |
Correct |
13 ms |
23764 KB |
Output is correct |
19 |
Correct |
13 ms |
23764 KB |
Output is correct |
20 |
Correct |
12 ms |
23832 KB |
Output is correct |
21 |
Correct |
13 ms |
23800 KB |
Output is correct |
22 |
Correct |
13 ms |
23764 KB |
Output is correct |
23 |
Correct |
12 ms |
23764 KB |
Output is correct |
24 |
Correct |
13 ms |
23824 KB |
Output is correct |
25 |
Correct |
13 ms |
23820 KB |
Output is correct |
26 |
Correct |
12 ms |
23832 KB |
Output is correct |
27 |
Correct |
12 ms |
23764 KB |
Output is correct |
28 |
Correct |
12 ms |
23764 KB |
Output is correct |
29 |
Correct |
13 ms |
23736 KB |
Output is correct |
30 |
Correct |
13 ms |
23724 KB |
Output is correct |
31 |
Correct |
12 ms |
23764 KB |
Output is correct |
32 |
Correct |
12 ms |
23816 KB |
Output is correct |
33 |
Correct |
13 ms |
23764 KB |
Output is correct |
34 |
Correct |
14 ms |
23828 KB |
Output is correct |
35 |
Correct |
13 ms |
23764 KB |
Output is correct |
36 |
Correct |
12 ms |
23808 KB |
Output is correct |
37 |
Correct |
12 ms |
23800 KB |
Output is correct |
38 |
Correct |
12 ms |
23824 KB |
Output is correct |
39 |
Correct |
12 ms |
23820 KB |
Output is correct |
40 |
Correct |
12 ms |
23764 KB |
Output is correct |
41 |
Correct |
14 ms |
23756 KB |
Output is correct |
42 |
Correct |
13 ms |
23764 KB |
Output is correct |
43 |
Correct |
12 ms |
23764 KB |
Output is correct |
44 |
Correct |
16 ms |
23760 KB |
Output is correct |
45 |
Correct |
12 ms |
23764 KB |
Output is correct |
46 |
Correct |
15 ms |
23764 KB |
Output is correct |
47 |
Correct |
14 ms |
23764 KB |
Output is correct |
48 |
Correct |
15 ms |
23764 KB |
Output is correct |
49 |
Correct |
13 ms |
23820 KB |
Output is correct |
50 |
Correct |
12 ms |
23764 KB |
Output is correct |
51 |
Correct |
13 ms |
23824 KB |
Output is correct |
52 |
Correct |
12 ms |
23824 KB |
Output is correct |
53 |
Correct |
12 ms |
23764 KB |
Output is correct |
54 |
Correct |
12 ms |
23808 KB |
Output is correct |
55 |
Correct |
13 ms |
23820 KB |
Output is correct |
56 |
Correct |
12 ms |
23720 KB |
Output is correct |
57 |
Correct |
13 ms |
23764 KB |
Output is correct |
58 |
Correct |
13 ms |
23824 KB |
Output is correct |
59 |
Correct |
12 ms |
23764 KB |
Output is correct |
60 |
Correct |
15 ms |
23824 KB |
Output is correct |
61 |
Correct |
14 ms |
23764 KB |
Output is correct |
62 |
Correct |
15 ms |
23820 KB |
Output is correct |
63 |
Correct |
15 ms |
23764 KB |
Output is correct |
64 |
Correct |
12 ms |
23820 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23764 KB |
Output is correct |
3 |
Correct |
14 ms |
23820 KB |
Output is correct |
4 |
Correct |
14 ms |
23844 KB |
Output is correct |
5 |
Correct |
12 ms |
23812 KB |
Output is correct |
6 |
Correct |
12 ms |
23764 KB |
Output is correct |
7 |
Correct |
14 ms |
23828 KB |
Output is correct |
8 |
Correct |
13 ms |
23756 KB |
Output is correct |
9 |
Correct |
14 ms |
23764 KB |
Output is correct |
10 |
Correct |
13 ms |
23764 KB |
Output is correct |
11 |
Correct |
24 ms |
23956 KB |
Output is correct |
12 |
Correct |
15 ms |
23892 KB |
Output is correct |
13 |
Correct |
15 ms |
23880 KB |
Output is correct |
14 |
Correct |
13 ms |
23892 KB |
Output is correct |
15 |
Correct |
13 ms |
23892 KB |
Output is correct |
16 |
Correct |
13 ms |
23920 KB |
Output is correct |
17 |
Correct |
13 ms |
23892 KB |
Output is correct |
18 |
Correct |
14 ms |
23960 KB |
Output is correct |
19 |
Correct |
13 ms |
23892 KB |
Output is correct |
20 |
Correct |
16 ms |
23860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
23828 KB |
Output is correct |
2 |
Correct |
12 ms |
23756 KB |
Output is correct |
3 |
Correct |
13 ms |
23764 KB |
Output is correct |
4 |
Correct |
12 ms |
23824 KB |
Output is correct |
5 |
Correct |
13 ms |
23764 KB |
Output is correct |
6 |
Correct |
15 ms |
23788 KB |
Output is correct |
7 |
Correct |
12 ms |
23820 KB |
Output is correct |
8 |
Correct |
12 ms |
23764 KB |
Output is correct |
9 |
Correct |
15 ms |
23728 KB |
Output is correct |
10 |
Correct |
12 ms |
23764 KB |
Output is correct |
11 |
Correct |
15 ms |
23764 KB |
Output is correct |
12 |
Correct |
12 ms |
23744 KB |
Output is correct |
13 |
Correct |
13 ms |
23760 KB |
Output is correct |
14 |
Correct |
14 ms |
23832 KB |
Output is correct |
15 |
Correct |
13 ms |
23764 KB |
Output is correct |
16 |
Correct |
13 ms |
23820 KB |
Output is correct |
17 |
Correct |
13 ms |
23764 KB |
Output is correct |
18 |
Correct |
13 ms |
23764 KB |
Output is correct |
19 |
Correct |
13 ms |
23764 KB |
Output is correct |
20 |
Correct |
12 ms |
23832 KB |
Output is correct |
21 |
Correct |
13 ms |
23800 KB |
Output is correct |
22 |
Correct |
13 ms |
23764 KB |
Output is correct |
23 |
Correct |
12 ms |
23764 KB |
Output is correct |
24 |
Correct |
13 ms |
23824 KB |
Output is correct |
25 |
Correct |
13 ms |
23820 KB |
Output is correct |
26 |
Correct |
12 ms |
23832 KB |
Output is correct |
27 |
Correct |
12 ms |
23764 KB |
Output is correct |
28 |
Correct |
12 ms |
23764 KB |
Output is correct |
29 |
Correct |
13 ms |
23736 KB |
Output is correct |
30 |
Correct |
13 ms |
23724 KB |
Output is correct |
31 |
Correct |
12 ms |
23764 KB |
Output is correct |
32 |
Correct |
12 ms |
23816 KB |
Output is correct |
33 |
Correct |
13 ms |
23764 KB |
Output is correct |
34 |
Correct |
14 ms |
23828 KB |
Output is correct |
35 |
Correct |
13 ms |
23764 KB |
Output is correct |
36 |
Correct |
12 ms |
23808 KB |
Output is correct |
37 |
Correct |
12 ms |
23800 KB |
Output is correct |
38 |
Correct |
12 ms |
23824 KB |
Output is correct |
39 |
Correct |
12 ms |
23820 KB |
Output is correct |
40 |
Correct |
12 ms |
23764 KB |
Output is correct |
41 |
Correct |
14 ms |
23756 KB |
Output is correct |
42 |
Correct |
13 ms |
23764 KB |
Output is correct |
43 |
Correct |
12 ms |
23764 KB |
Output is correct |
44 |
Correct |
16 ms |
23760 KB |
Output is correct |
45 |
Correct |
12 ms |
23764 KB |
Output is correct |
46 |
Correct |
15 ms |
23764 KB |
Output is correct |
47 |
Correct |
14 ms |
23764 KB |
Output is correct |
48 |
Correct |
15 ms |
23764 KB |
Output is correct |
49 |
Correct |
13 ms |
23820 KB |
Output is correct |
50 |
Correct |
12 ms |
23764 KB |
Output is correct |
51 |
Correct |
13 ms |
23824 KB |
Output is correct |
52 |
Correct |
12 ms |
23824 KB |
Output is correct |
53 |
Correct |
12 ms |
23764 KB |
Output is correct |
54 |
Correct |
12 ms |
23808 KB |
Output is correct |
55 |
Correct |
13 ms |
23820 KB |
Output is correct |
56 |
Correct |
12 ms |
23720 KB |
Output is correct |
57 |
Correct |
13 ms |
23764 KB |
Output is correct |
58 |
Correct |
13 ms |
23824 KB |
Output is correct |
59 |
Correct |
12 ms |
23764 KB |
Output is correct |
60 |
Correct |
15 ms |
23824 KB |
Output is correct |
61 |
Correct |
14 ms |
23764 KB |
Output is correct |
62 |
Correct |
15 ms |
23820 KB |
Output is correct |
63 |
Correct |
15 ms |
23764 KB |
Output is correct |
64 |
Correct |
12 ms |
23820 KB |
Output is correct |
65 |
Correct |
14 ms |
23764 KB |
Output is correct |
66 |
Correct |
13 ms |
23764 KB |
Output is correct |
67 |
Correct |
13 ms |
23764 KB |
Output is correct |
68 |
Correct |
12 ms |
23728 KB |
Output is correct |
69 |
Correct |
12 ms |
23708 KB |
Output is correct |
70 |
Correct |
12 ms |
23824 KB |
Output is correct |
71 |
Correct |
13 ms |
23784 KB |
Output is correct |
72 |
Correct |
12 ms |
23824 KB |
Output is correct |
73 |
Correct |
13 ms |
23764 KB |
Output is correct |
74 |
Correct |
12 ms |
23824 KB |
Output is correct |
75 |
Correct |
12 ms |
23848 KB |
Output is correct |
76 |
Correct |
13 ms |
23832 KB |
Output is correct |
77 |
Correct |
13 ms |
23824 KB |
Output is correct |
78 |
Correct |
13 ms |
23764 KB |
Output is correct |
79 |
Correct |
12 ms |
23764 KB |
Output is correct |
80 |
Correct |
12 ms |
23800 KB |
Output is correct |
81 |
Correct |
12 ms |
23764 KB |
Output is correct |
82 |
Correct |
12 ms |
23764 KB |
Output is correct |
83 |
Correct |
13 ms |
23828 KB |
Output is correct |
84 |
Correct |
14 ms |
23764 KB |
Output is correct |
85 |
Correct |
12 ms |
23808 KB |
Output is correct |
86 |
Correct |
12 ms |
23736 KB |
Output is correct |
87 |
Correct |
13 ms |
23764 KB |
Output is correct |
88 |
Correct |
12 ms |
23764 KB |
Output is correct |
89 |
Correct |
16 ms |
23828 KB |
Output is correct |
90 |
Correct |
12 ms |
23892 KB |
Output is correct |
91 |
Correct |
17 ms |
23892 KB |
Output is correct |
92 |
Correct |
12 ms |
23892 KB |
Output is correct |
93 |
Correct |
13 ms |
23836 KB |
Output is correct |
94 |
Correct |
12 ms |
23828 KB |
Output is correct |
95 |
Correct |
12 ms |
23892 KB |
Output is correct |
96 |
Correct |
13 ms |
23828 KB |
Output is correct |
97 |
Correct |
13 ms |
23816 KB |
Output is correct |
98 |
Correct |
13 ms |
23864 KB |
Output is correct |
99 |
Correct |
13 ms |
23912 KB |
Output is correct |
100 |
Correct |
13 ms |
23892 KB |
Output is correct |
101 |
Correct |
12 ms |
23892 KB |
Output is correct |
102 |
Correct |
12 ms |
23824 KB |
Output is correct |
103 |
Correct |
12 ms |
23892 KB |
Output is correct |
104 |
Correct |
12 ms |
23828 KB |
Output is correct |
105 |
Correct |
12 ms |
23880 KB |
Output is correct |
106 |
Correct |
14 ms |
23892 KB |
Output is correct |
107 |
Correct |
13 ms |
23820 KB |
Output is correct |
108 |
Correct |
17 ms |
23884 KB |
Output is correct |
109 |
Correct |
14 ms |
23828 KB |
Output is correct |
110 |
Correct |
13 ms |
23892 KB |
Output is correct |
111 |
Correct |
13 ms |
23892 KB |
Output is correct |
112 |
Correct |
12 ms |
23892 KB |
Output is correct |
113 |
Correct |
13 ms |
23896 KB |
Output is correct |
114 |
Correct |
13 ms |
23892 KB |
Output is correct |
115 |
Correct |
13 ms |
23892 KB |
Output is correct |
116 |
Correct |
12 ms |
23892 KB |
Output is correct |
117 |
Correct |
14 ms |
23892 KB |
Output is correct |
118 |
Correct |
15 ms |
23908 KB |
Output is correct |
119 |
Correct |
14 ms |
23916 KB |
Output is correct |
120 |
Correct |
14 ms |
23812 KB |
Output is correct |
121 |
Correct |
12 ms |
23892 KB |
Output is correct |
122 |
Correct |
12 ms |
23852 KB |
Output is correct |
123 |
Correct |
13 ms |
23840 KB |
Output is correct |
124 |
Correct |
14 ms |
23824 KB |
Output is correct |
125 |
Correct |
13 ms |
23892 KB |
Output is correct |
126 |
Correct |
13 ms |
23892 KB |
Output is correct |
127 |
Correct |
15 ms |
23804 KB |
Output is correct |
128 |
Correct |
12 ms |
23892 KB |
Output is correct |
129 |
Correct |
11 ms |
23792 KB |
Output is correct |
130 |
Correct |
12 ms |
23764 KB |
Output is correct |
131 |
Correct |
12 ms |
23764 KB |
Output is correct |
132 |
Correct |
13 ms |
23820 KB |
Output is correct |
133 |
Correct |
12 ms |
23828 KB |
Output is correct |
134 |
Correct |
25 ms |
24736 KB |
Output is correct |
135 |
Correct |
27 ms |
24792 KB |
Output is correct |
136 |
Correct |
44 ms |
27332 KB |
Output is correct |
137 |
Correct |
33 ms |
25804 KB |
Output is correct |
138 |
Correct |
44 ms |
26356 KB |
Output is correct |
139 |
Correct |
72 ms |
28172 KB |
Output is correct |
140 |
Correct |
20 ms |
24532 KB |
Output is correct |
141 |
Correct |
16 ms |
24096 KB |
Output is correct |
142 |
Correct |
77 ms |
28012 KB |
Output is correct |
143 |
Correct |
74 ms |
28064 KB |
Output is correct |
144 |
Correct |
13 ms |
23892 KB |
Output is correct |
145 |
Correct |
15 ms |
23952 KB |
Output is correct |