#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define ff first
#define ss second
ll ttt;
const ll INF=1e18;
const ll MOD=1e9+7;
const ll N=300007;
ll n,m,k;
vector<ll>g[N];
ll sz[N];
bool used[N];
ll head[N];
void dfs(int v, int par=-1){
// cout<<"YOO"<<endl;
sz[v]=0;
for(int to:g[v]){
if(to!=par){
dfs(to,v);
sz[v]=max(sz[v],sz[to]+1);
}
}
}
bool is_tree(int c, int v, int par=-1){
used[v]=true;
head[v]=c;
bool retval=true;
for(int to:g[v]){
if(to!=par){
if(used[to])retval= false;
else if(!is_tree(c,to,v))retval= false;
}
}
return retval;
}
void construct(vector<int>& p, int v, int par=-1){
// cout<<"CONSTRUCT: "<<v<<" "<<par<<endl;
dfs(v);
// cout<<"SZ: ";
// for(int vv=1;vv<=n;vv++)cout<<sz[vv]<<" ";
// cout<<endl;
p.push_back(v);
int u=-1;
for(int to:g[v]){
if(to!=par){
if(sz[to]==1){
p.push_back(to);
p.push_back(v);
}
else if(sz[to]!=0) u=to;
}
}
if(u!=-1)construct(p,u,v);
}
int find_leaf(int v, int par=-1){
dfs(v);
for(int to:g[v]){
if(to!=par){
if(sz[to]>=2){
return find_leaf(to,v);
}
}
}
for(int to:g[v]){
if(sz[to]==1)return to;
}
return v;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
// freopen("output.txt","w",stdout);
// freopen("input.txt","r",stdin);
cin>>n>>m;
// if(m!=n-1)cout<<"NO\n";
for(int i=0;i<m;i++){
int x,y;
cin>>x>>y;
g[x].push_back(y);
g[y].push_back(x);
}
for(int v=1;v<=n;v++){
if(!used[v]&&!is_tree(v,v)){
cout<<"NO\n";
return 0;
}
}
for(int v=1;v<=n;v++){
dfs(v);
int cnt=0;
for(int to:g[v]){
cnt+=(sz[to]>=2);
}
if(cnt>2){
cout<<"NO\n";
return 0;
}
}
cout<<"YES\n";
vector<int>p;
int leaf=find_leaf(1);
// cout<<"leaf: "<<leaf<<endl;
construct(p,leaf);
if(p.size()>=3&&p[p.size()-1]==p[p.size()-3])p.pop_back();
int len=p.size();
for(int i=len-1;i>=0;i--){
p.push_back(p[i]);
}
cout<<p.size()<<endl;
for(int x:p)cout<<x<<" ";
cout<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
5 ms |
7356 KB |
Provide a successful but not optimal strategy. |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
4 ms |
7252 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
3 ms |
7252 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7252 KB |
Output is correct |
9 |
Correct |
3 ms |
7332 KB |
Output is correct |
10 |
Correct |
3 ms |
7352 KB |
Output is correct |
11 |
Correct |
4 ms |
7368 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7252 KB |
Output is correct |
15 |
Correct |
5 ms |
7252 KB |
Output is correct |
16 |
Correct |
3 ms |
7380 KB |
Output is correct |
17 |
Correct |
3 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7360 KB |
Output is correct |
19 |
Correct |
3 ms |
7252 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
3 ms |
7252 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
5 ms |
7388 KB |
Output is correct |
25 |
Correct |
3 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
27 |
Correct |
3 ms |
7328 KB |
Output is correct |
28 |
Correct |
4 ms |
7380 KB |
Output is correct |
29 |
Correct |
3 ms |
7380 KB |
Output is correct |
30 |
Correct |
3 ms |
7380 KB |
Output is correct |
31 |
Correct |
3 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
3 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
3 ms |
7304 KB |
Output is correct |
36 |
Correct |
3 ms |
7380 KB |
Output is correct |
37 |
Correct |
5 ms |
7252 KB |
Output is correct |
38 |
Correct |
5 ms |
7252 KB |
Output is correct |
39 |
Correct |
3 ms |
7380 KB |
Output is correct |
40 |
Correct |
3 ms |
7252 KB |
Output is correct |
41 |
Correct |
4 ms |
7380 KB |
Output is correct |
42 |
Correct |
3 ms |
7380 KB |
Output is correct |
43 |
Correct |
4 ms |
7356 KB |
Output is correct |
44 |
Correct |
3 ms |
7312 KB |
Output is correct |
45 |
Correct |
4 ms |
7380 KB |
Output is correct |
46 |
Correct |
5 ms |
7252 KB |
Output is correct |
47 |
Correct |
4 ms |
7380 KB |
Output is correct |
48 |
Correct |
3 ms |
7380 KB |
Output is correct |
49 |
Correct |
3 ms |
7380 KB |
Output is correct |
50 |
Correct |
3 ms |
7380 KB |
Output is correct |
51 |
Correct |
3 ms |
7380 KB |
Output is correct |
52 |
Correct |
3 ms |
7380 KB |
Output is correct |
53 |
Correct |
3 ms |
7252 KB |
Output is correct |
54 |
Correct |
3 ms |
7252 KB |
Output is correct |
55 |
Correct |
3 ms |
7252 KB |
Output is correct |
56 |
Correct |
3 ms |
7380 KB |
Output is correct |
57 |
Correct |
3 ms |
7380 KB |
Output is correct |
58 |
Correct |
4 ms |
7380 KB |
Output is correct |
59 |
Correct |
3 ms |
7380 KB |
Output is correct |
60 |
Correct |
4 ms |
7284 KB |
Output is correct |
61 |
Correct |
4 ms |
7380 KB |
Output is correct |
62 |
Correct |
3 ms |
7380 KB |
Output is correct |
63 |
Correct |
3 ms |
7380 KB |
Output is correct |
64 |
Correct |
3 ms |
7380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
3 ms |
7380 KB |
Provide a successful but not optimal strategy. |
2 |
Correct |
3 ms |
7340 KB |
Output is correct |
3 |
Correct |
3 ms |
7252 KB |
Output is correct |
4 |
Correct |
3 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7252 KB |
Output is correct |
6 |
Correct |
3 ms |
7380 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
3 ms |
7380 KB |
Output is correct |
9 |
Correct |
3 ms |
7252 KB |
Output is correct |
10 |
Correct |
4 ms |
7252 KB |
Output is correct |
11 |
Correct |
24 ms |
7504 KB |
Output is correct |
12 |
Correct |
10 ms |
7444 KB |
Output is correct |
13 |
Correct |
13 ms |
7460 KB |
Output is correct |
14 |
Correct |
15 ms |
7508 KB |
Output is correct |
15 |
Correct |
14 ms |
7488 KB |
Output is correct |
16 |
Correct |
27 ms |
7500 KB |
Output is correct |
17 |
Correct |
27 ms |
7508 KB |
Output is correct |
18 |
Correct |
27 ms |
7596 KB |
Output is correct |
19 |
Correct |
28 ms |
7496 KB |
Output is correct |
20 |
Correct |
29 ms |
7504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
5 ms |
7356 KB |
Provide a successful but not optimal strategy. |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
4 ms |
7380 KB |
Output is correct |
4 |
Correct |
4 ms |
7252 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
3 ms |
7252 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7252 KB |
Output is correct |
9 |
Correct |
3 ms |
7332 KB |
Output is correct |
10 |
Correct |
3 ms |
7352 KB |
Output is correct |
11 |
Correct |
4 ms |
7368 KB |
Output is correct |
12 |
Correct |
4 ms |
7380 KB |
Output is correct |
13 |
Correct |
4 ms |
7380 KB |
Output is correct |
14 |
Correct |
3 ms |
7252 KB |
Output is correct |
15 |
Correct |
5 ms |
7252 KB |
Output is correct |
16 |
Correct |
3 ms |
7380 KB |
Output is correct |
17 |
Correct |
3 ms |
7380 KB |
Output is correct |
18 |
Correct |
4 ms |
7360 KB |
Output is correct |
19 |
Correct |
3 ms |
7252 KB |
Output is correct |
20 |
Correct |
4 ms |
7380 KB |
Output is correct |
21 |
Correct |
4 ms |
7380 KB |
Output is correct |
22 |
Correct |
3 ms |
7252 KB |
Output is correct |
23 |
Correct |
4 ms |
7380 KB |
Output is correct |
24 |
Correct |
5 ms |
7388 KB |
Output is correct |
25 |
Correct |
3 ms |
7380 KB |
Output is correct |
26 |
Correct |
4 ms |
7380 KB |
Output is correct |
27 |
Correct |
3 ms |
7328 KB |
Output is correct |
28 |
Correct |
4 ms |
7380 KB |
Output is correct |
29 |
Correct |
3 ms |
7380 KB |
Output is correct |
30 |
Correct |
3 ms |
7380 KB |
Output is correct |
31 |
Correct |
3 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
3 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
3 ms |
7304 KB |
Output is correct |
36 |
Correct |
3 ms |
7380 KB |
Output is correct |
37 |
Correct |
5 ms |
7252 KB |
Output is correct |
38 |
Correct |
5 ms |
7252 KB |
Output is correct |
39 |
Correct |
3 ms |
7380 KB |
Output is correct |
40 |
Correct |
3 ms |
7252 KB |
Output is correct |
41 |
Correct |
4 ms |
7380 KB |
Output is correct |
42 |
Correct |
3 ms |
7380 KB |
Output is correct |
43 |
Correct |
4 ms |
7356 KB |
Output is correct |
44 |
Correct |
3 ms |
7312 KB |
Output is correct |
45 |
Correct |
4 ms |
7380 KB |
Output is correct |
46 |
Correct |
5 ms |
7252 KB |
Output is correct |
47 |
Correct |
4 ms |
7380 KB |
Output is correct |
48 |
Correct |
3 ms |
7380 KB |
Output is correct |
49 |
Correct |
3 ms |
7380 KB |
Output is correct |
50 |
Correct |
3 ms |
7380 KB |
Output is correct |
51 |
Correct |
3 ms |
7380 KB |
Output is correct |
52 |
Correct |
3 ms |
7380 KB |
Output is correct |
53 |
Correct |
3 ms |
7252 KB |
Output is correct |
54 |
Correct |
3 ms |
7252 KB |
Output is correct |
55 |
Correct |
3 ms |
7252 KB |
Output is correct |
56 |
Correct |
3 ms |
7380 KB |
Output is correct |
57 |
Correct |
3 ms |
7380 KB |
Output is correct |
58 |
Correct |
4 ms |
7380 KB |
Output is correct |
59 |
Correct |
3 ms |
7380 KB |
Output is correct |
60 |
Correct |
4 ms |
7284 KB |
Output is correct |
61 |
Correct |
4 ms |
7380 KB |
Output is correct |
62 |
Correct |
3 ms |
7380 KB |
Output is correct |
63 |
Correct |
3 ms |
7380 KB |
Output is correct |
64 |
Correct |
3 ms |
7380 KB |
Output is correct |
65 |
Partially correct |
3 ms |
7380 KB |
Provide a successful but not optimal strategy. |
66 |
Correct |
3 ms |
7380 KB |
Output is correct |
67 |
Correct |
4 ms |
7252 KB |
Output is correct |
68 |
Correct |
4 ms |
7380 KB |
Output is correct |
69 |
Correct |
4 ms |
7380 KB |
Output is correct |
70 |
Correct |
4 ms |
7252 KB |
Output is correct |
71 |
Correct |
3 ms |
7380 KB |
Output is correct |
72 |
Correct |
4 ms |
7252 KB |
Output is correct |
73 |
Correct |
3 ms |
7252 KB |
Output is correct |
74 |
Correct |
3 ms |
7380 KB |
Output is correct |
75 |
Correct |
3 ms |
7252 KB |
Output is correct |
76 |
Correct |
3 ms |
7380 KB |
Output is correct |
77 |
Correct |
5 ms |
7252 KB |
Output is correct |
78 |
Correct |
5 ms |
7252 KB |
Output is correct |
79 |
Correct |
3 ms |
7380 KB |
Output is correct |
80 |
Correct |
4 ms |
7380 KB |
Output is correct |
81 |
Correct |
5 ms |
7400 KB |
Output is correct |
82 |
Correct |
4 ms |
7380 KB |
Output is correct |
83 |
Correct |
3 ms |
7380 KB |
Output is correct |
84 |
Correct |
5 ms |
7380 KB |
Output is correct |
85 |
Correct |
5 ms |
7432 KB |
Output is correct |
86 |
Correct |
3 ms |
7380 KB |
Output is correct |
87 |
Correct |
4 ms |
7380 KB |
Output is correct |
88 |
Correct |
5 ms |
7380 KB |
Output is correct |
89 |
Correct |
24 ms |
7464 KB |
Output is correct |
90 |
Correct |
16 ms |
7464 KB |
Output is correct |
91 |
Correct |
16 ms |
7456 KB |
Output is correct |
92 |
Correct |
13 ms |
7444 KB |
Output is correct |
93 |
Correct |
17 ms |
7468 KB |
Output is correct |
94 |
Correct |
12 ms |
7508 KB |
Output is correct |
95 |
Correct |
20 ms |
7472 KB |
Output is correct |
96 |
Correct |
21 ms |
7472 KB |
Output is correct |
97 |
Correct |
15 ms |
7476 KB |
Output is correct |
98 |
Correct |
16 ms |
7468 KB |
Output is correct |
99 |
Correct |
14 ms |
7452 KB |
Output is correct |
100 |
Correct |
14 ms |
7460 KB |
Output is correct |
101 |
Correct |
14 ms |
7456 KB |
Output is correct |
102 |
Correct |
16 ms |
7476 KB |
Output is correct |
103 |
Correct |
16 ms |
7508 KB |
Output is correct |
104 |
Correct |
12 ms |
7448 KB |
Output is correct |
105 |
Correct |
14 ms |
7452 KB |
Output is correct |
106 |
Correct |
16 ms |
7460 KB |
Output is correct |
107 |
Correct |
14 ms |
7460 KB |
Output is correct |
108 |
Correct |
19 ms |
7508 KB |
Output is correct |
109 |
Correct |
15 ms |
7456 KB |
Output is correct |
110 |
Correct |
19 ms |
7456 KB |
Output is correct |
111 |
Correct |
16 ms |
7448 KB |
Output is correct |
112 |
Correct |
13 ms |
7484 KB |
Output is correct |
113 |
Correct |
19 ms |
7476 KB |
Output is correct |
114 |
Correct |
17 ms |
7464 KB |
Output is correct |
115 |
Correct |
13 ms |
7496 KB |
Output is correct |
116 |
Correct |
17 ms |
7460 KB |
Output is correct |
117 |
Correct |
19 ms |
7472 KB |
Output is correct |
118 |
Correct |
16 ms |
7468 KB |
Output is correct |
119 |
Correct |
15 ms |
7456 KB |
Output is correct |
120 |
Correct |
16 ms |
7468 KB |
Output is correct |
121 |
Correct |
16 ms |
7468 KB |
Output is correct |
122 |
Correct |
13 ms |
7476 KB |
Output is correct |
123 |
Correct |
12 ms |
7508 KB |
Output is correct |
124 |
Correct |
17 ms |
7508 KB |
Output is correct |
125 |
Correct |
12 ms |
7508 KB |
Output is correct |
126 |
Correct |
13 ms |
7508 KB |
Output is correct |
127 |
Correct |
11 ms |
7508 KB |
Output is correct |
128 |
Correct |
16 ms |
7468 KB |
Output is correct |
129 |
Correct |
4 ms |
7436 KB |
Output is correct |
130 |
Correct |
4 ms |
7428 KB |
Output is correct |
131 |
Correct |
4 ms |
7380 KB |
Output is correct |
132 |
Correct |
3 ms |
7380 KB |
Output is correct |
133 |
Correct |
3 ms |
7380 KB |
Output is correct |
134 |
Correct |
14 ms |
9264 KB |
Output is correct |
135 |
Correct |
12 ms |
9428 KB |
Output is correct |
136 |
Correct |
29 ms |
14284 KB |
Output is correct |
137 |
Correct |
25 ms |
11176 KB |
Output is correct |
138 |
Correct |
30 ms |
12384 KB |
Output is correct |
139 |
Correct |
52 ms |
15692 KB |
Output is correct |
140 |
Correct |
14 ms |
8844 KB |
Output is correct |
141 |
Correct |
6 ms |
7864 KB |
Output is correct |
142 |
Correct |
47 ms |
15560 KB |
Output is correct |
143 |
Correct |
55 ms |
15532 KB |
Output is correct |
144 |
Correct |
28 ms |
7500 KB |
Output is correct |
145 |
Correct |
28 ms |
7504 KB |
Output is correct |