#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e9+7;
const ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ll,ii>
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
bool ok = 1;
vector<vll>adj;
vll res;
ll c[1005] = {0};
void solve(ll idx,ll p){
res.pb(idx+1);
bool f = 1;
ll posa = 0;
for(auto x:adj[idx]){
if(x != p){
if(f){
f = 0;
}
else{
res.pb(idx+1);
}
c[x] = c[idx] ^ 1;
solve(x,idx);
posa += adj[x].size() != 1;
}
}
if(posa > 1){
ok = 0;
}
}
bool cmp(ll a,ll b){
return adj[a].size() < adj[b].size();
}
int main(void){
ios_base::sync_with_stdio(0);
cin.tie(0);
ll n,m;
cin>>n>>m;
adj.assign(n+5,vll());
ll deg[n] = {0};
vector<ii>ed;
vll ans;
f(i,0,5000){
ans.pb(i);
}
f(i,0,m){
ll a,b;
cin>>a>>b;
a--;
b--;
deg[a]++;
deg[b]++;
ed.pb(ii(a,b));
}
ok = m == n-1;
vll w[n];
if(ok){
for(auto x:ed){
if(deg[x.F] != 1 && deg[x.S] != 1){
adj[x.F].pb(x.S);
adj[x.S].pb(x.F);
}
}
f(i,0,n){
sort(all(adj[i]),cmp);
}
bool ivra = 0;
f(i,0,n){
f(j,0,5000){
w[i].pb(j);
}
}
f(i,0,n){
if(deg[i] != 1){
res.clear();
ok = 1;
solve(i,-1);
if(ok){
w[i] = res;
}
if(ok && res.size() < ans.size()){
ans = res;
}
ivra |= ok;
}
}
ok = ivra;
}
if(n == 1){
cout<<"YES\n";
cout<<"1\n 1\n";
}
else if(n == 2){
cout<<"YES\n";
cout<<"2\n2 2\n";
}
else if(ok){
cout<<"YES\n";
bool ek = (ans.size() % 2);
f(i,0,n){
if(c[i] != c[ans[0]-1] && w[i].size() == ans.size()){
ek = 1;
break;
}
}
cout<<2 * ans.size() + (ek == 0)<<"\n";
for(auto x:ans){
cout<<x<<" ";
}
if(ans.size() % 2 == 0){
ek = 0;
f(i,0,n){
if(c[i] != c[ans[0]-1] && w[i].size() == ans.size()){
ans = w[i];
ek = 1;
break;
}
}
if(!ek){
ans.insert(ans.begin(),1);
}
}
for(auto x:ans){
cout<<x<<" ";
}
}
else{
cout<<"NO\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
452 KB |
Output is correct |
2 |
Correct |
1 ms |
448 KB |
Output is correct |
3 |
Correct |
1 ms |
580 KB |
Output is correct |
4 |
Correct |
1 ms |
708 KB |
Output is correct |
5 |
Correct |
1 ms |
580 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
9 ms |
852 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
2 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
2 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
852 KB |
Output is correct |
17 |
Correct |
1 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
2 ms |
836 KB |
Output is correct |
22 |
Correct |
1 ms |
836 KB |
Output is correct |
23 |
Correct |
1 ms |
960 KB |
Output is correct |
24 |
Correct |
1 ms |
980 KB |
Output is correct |
25 |
Correct |
2 ms |
964 KB |
Output is correct |
26 |
Correct |
2 ms |
964 KB |
Output is correct |
27 |
Correct |
1 ms |
976 KB |
Output is correct |
28 |
Correct |
2 ms |
964 KB |
Output is correct |
29 |
Correct |
2 ms |
964 KB |
Output is correct |
30 |
Correct |
1 ms |
980 KB |
Output is correct |
31 |
Correct |
1 ms |
980 KB |
Output is correct |
32 |
Correct |
2 ms |
980 KB |
Output is correct |
33 |
Correct |
1 ms |
980 KB |
Output is correct |
34 |
Correct |
1 ms |
980 KB |
Output is correct |
35 |
Correct |
2 ms |
1108 KB |
Output is correct |
36 |
Correct |
2 ms |
1108 KB |
Output is correct |
37 |
Correct |
1 ms |
1108 KB |
Output is correct |
38 |
Correct |
2 ms |
1108 KB |
Output is correct |
39 |
Correct |
1 ms |
1092 KB |
Output is correct |
40 |
Correct |
2 ms |
1088 KB |
Output is correct |
41 |
Correct |
1 ms |
1108 KB |
Output is correct |
42 |
Correct |
1 ms |
1108 KB |
Output is correct |
43 |
Correct |
1 ms |
1108 KB |
Output is correct |
44 |
Correct |
2 ms |
1108 KB |
Output is correct |
45 |
Correct |
2 ms |
1108 KB |
Output is correct |
46 |
Correct |
2 ms |
1116 KB |
Output is correct |
47 |
Correct |
2 ms |
1236 KB |
Output is correct |
48 |
Correct |
2 ms |
1240 KB |
Output is correct |
49 |
Correct |
2 ms |
1228 KB |
Output is correct |
50 |
Correct |
2 ms |
1248 KB |
Output is correct |
51 |
Correct |
2 ms |
1236 KB |
Output is correct |
52 |
Correct |
2 ms |
1248 KB |
Output is correct |
53 |
Correct |
2 ms |
1232 KB |
Output is correct |
54 |
Correct |
10 ms |
1248 KB |
Output is correct |
55 |
Correct |
2 ms |
1248 KB |
Output is correct |
56 |
Correct |
2 ms |
1248 KB |
Output is correct |
57 |
Correct |
12 ms |
1260 KB |
Output is correct |
58 |
Correct |
1 ms |
1248 KB |
Output is correct |
59 |
Correct |
1 ms |
336 KB |
Output is correct |
60 |
Correct |
1 ms |
352 KB |
Output is correct |
61 |
Correct |
1 ms |
352 KB |
Output is correct |
62 |
Correct |
1 ms |
336 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
5 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
596 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
7 ms |
712 KB |
Output is correct |
7 |
Correct |
2 ms |
712 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
836 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
52 ms |
41436 KB |
Output is correct |
12 |
Correct |
25 ms |
22684 KB |
Output is correct |
13 |
Correct |
38 ms |
26700 KB |
Output is correct |
14 |
Correct |
30 ms |
28372 KB |
Output is correct |
15 |
Correct |
32 ms |
29908 KB |
Output is correct |
16 |
Correct |
51 ms |
43512 KB |
Output is correct |
17 |
Correct |
51 ms |
43592 KB |
Output is correct |
18 |
Correct |
65 ms |
43696 KB |
Output is correct |
19 |
Correct |
53 ms |
43712 KB |
Output is correct |
20 |
Correct |
53 ms |
43676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
452 KB |
Output is correct |
2 |
Correct |
1 ms |
448 KB |
Output is correct |
3 |
Correct |
1 ms |
580 KB |
Output is correct |
4 |
Correct |
1 ms |
708 KB |
Output is correct |
5 |
Correct |
1 ms |
580 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
9 ms |
852 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
11 |
Correct |
2 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
1 ms |
724 KB |
Output is correct |
15 |
Correct |
2 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
852 KB |
Output is correct |
17 |
Correct |
1 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
2 ms |
836 KB |
Output is correct |
22 |
Correct |
1 ms |
836 KB |
Output is correct |
23 |
Correct |
1 ms |
960 KB |
Output is correct |
24 |
Correct |
1 ms |
980 KB |
Output is correct |
25 |
Correct |
2 ms |
964 KB |
Output is correct |
26 |
Correct |
2 ms |
964 KB |
Output is correct |
27 |
Correct |
1 ms |
976 KB |
Output is correct |
28 |
Correct |
2 ms |
964 KB |
Output is correct |
29 |
Correct |
2 ms |
964 KB |
Output is correct |
30 |
Correct |
1 ms |
980 KB |
Output is correct |
31 |
Correct |
1 ms |
980 KB |
Output is correct |
32 |
Correct |
2 ms |
980 KB |
Output is correct |
33 |
Correct |
1 ms |
980 KB |
Output is correct |
34 |
Correct |
1 ms |
980 KB |
Output is correct |
35 |
Correct |
2 ms |
1108 KB |
Output is correct |
36 |
Correct |
2 ms |
1108 KB |
Output is correct |
37 |
Correct |
1 ms |
1108 KB |
Output is correct |
38 |
Correct |
2 ms |
1108 KB |
Output is correct |
39 |
Correct |
1 ms |
1092 KB |
Output is correct |
40 |
Correct |
2 ms |
1088 KB |
Output is correct |
41 |
Correct |
1 ms |
1108 KB |
Output is correct |
42 |
Correct |
1 ms |
1108 KB |
Output is correct |
43 |
Correct |
1 ms |
1108 KB |
Output is correct |
44 |
Correct |
2 ms |
1108 KB |
Output is correct |
45 |
Correct |
2 ms |
1108 KB |
Output is correct |
46 |
Correct |
2 ms |
1116 KB |
Output is correct |
47 |
Correct |
2 ms |
1236 KB |
Output is correct |
48 |
Correct |
2 ms |
1240 KB |
Output is correct |
49 |
Correct |
2 ms |
1228 KB |
Output is correct |
50 |
Correct |
2 ms |
1248 KB |
Output is correct |
51 |
Correct |
2 ms |
1236 KB |
Output is correct |
52 |
Correct |
2 ms |
1248 KB |
Output is correct |
53 |
Correct |
2 ms |
1232 KB |
Output is correct |
54 |
Correct |
10 ms |
1248 KB |
Output is correct |
55 |
Correct |
2 ms |
1248 KB |
Output is correct |
56 |
Correct |
2 ms |
1248 KB |
Output is correct |
57 |
Correct |
12 ms |
1260 KB |
Output is correct |
58 |
Correct |
1 ms |
1248 KB |
Output is correct |
59 |
Correct |
1 ms |
336 KB |
Output is correct |
60 |
Correct |
1 ms |
352 KB |
Output is correct |
61 |
Correct |
1 ms |
352 KB |
Output is correct |
62 |
Correct |
1 ms |
336 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
1 ms |
468 KB |
Output is correct |
66 |
Correct |
1 ms |
468 KB |
Output is correct |
67 |
Correct |
1 ms |
596 KB |
Output is correct |
68 |
Correct |
1 ms |
708 KB |
Output is correct |
69 |
Correct |
1 ms |
580 KB |
Output is correct |
70 |
Correct |
1 ms |
724 KB |
Output is correct |
71 |
Correct |
1 ms |
340 KB |
Output is correct |
72 |
Correct |
1 ms |
724 KB |
Output is correct |
73 |
Correct |
1 ms |
836 KB |
Output is correct |
74 |
Correct |
1 ms |
852 KB |
Output is correct |
75 |
Correct |
1 ms |
724 KB |
Output is correct |
76 |
Correct |
1 ms |
724 KB |
Output is correct |
77 |
Correct |
1 ms |
724 KB |
Output is correct |
78 |
Correct |
1 ms |
712 KB |
Output is correct |
79 |
Correct |
34 ms |
36172 KB |
Output is correct |
80 |
Correct |
32 ms |
37196 KB |
Output is correct |
81 |
Correct |
34 ms |
37568 KB |
Output is correct |
82 |
Correct |
37 ms |
40884 KB |
Output is correct |
83 |
Correct |
37 ms |
39116 KB |
Output is correct |
84 |
Correct |
36 ms |
37464 KB |
Output is correct |
85 |
Correct |
35 ms |
37460 KB |
Output is correct |
86 |
Correct |
34 ms |
37976 KB |
Output is correct |
87 |
Correct |
36 ms |
38988 KB |
Output is correct |
88 |
Correct |
31 ms |
35204 KB |
Output is correct |
89 |
Correct |
43 ms |
43080 KB |
Output is correct |
90 |
Correct |
38 ms |
38092 KB |
Output is correct |
91 |
Correct |
37 ms |
36684 KB |
Output is correct |
92 |
Correct |
32 ms |
34028 KB |
Output is correct |
93 |
Correct |
42 ms |
42472 KB |
Output is correct |
94 |
Correct |
35 ms |
35696 KB |
Output is correct |
95 |
Correct |
43 ms |
43736 KB |
Output is correct |
96 |
Correct |
42 ms |
42912 KB |
Output is correct |
97 |
Correct |
34 ms |
33304 KB |
Output is correct |
98 |
Correct |
44 ms |
42712 KB |
Output is correct |
99 |
Correct |
41 ms |
37200 KB |
Output is correct |
100 |
Correct |
42 ms |
38244 KB |
Output is correct |
101 |
Correct |
38 ms |
36688 KB |
Output is correct |
102 |
Correct |
40 ms |
37068 KB |
Output is correct |
103 |
Correct |
40 ms |
38644 KB |
Output is correct |
104 |
Correct |
32 ms |
33008 KB |
Output is correct |
105 |
Correct |
37 ms |
34792 KB |
Output is correct |
106 |
Correct |
42 ms |
39676 KB |
Output is correct |
107 |
Correct |
37 ms |
35356 KB |
Output is correct |
108 |
Correct |
44 ms |
42836 KB |
Output is correct |
109 |
Correct |
40 ms |
38252 KB |
Output is correct |
110 |
Correct |
40 ms |
38208 KB |
Output is correct |
111 |
Correct |
35 ms |
34716 KB |
Output is correct |
112 |
Correct |
35 ms |
35668 KB |
Output is correct |
113 |
Correct |
46 ms |
43136 KB |
Output is correct |
114 |
Correct |
73 ms |
39688 KB |
Output is correct |
115 |
Correct |
36 ms |
36000 KB |
Output is correct |
116 |
Correct |
40 ms |
38996 KB |
Output is correct |
117 |
Correct |
44 ms |
43468 KB |
Output is correct |
118 |
Correct |
40 ms |
39892 KB |
Output is correct |
119 |
Correct |
65 ms |
37340 KB |
Output is correct |
120 |
Correct |
42 ms |
40972 KB |
Output is correct |
121 |
Correct |
42 ms |
41044 KB |
Output is correct |
122 |
Correct |
35 ms |
36412 KB |
Output is correct |
123 |
Correct |
61 ms |
34848 KB |
Output is correct |
124 |
Correct |
43 ms |
42864 KB |
Output is correct |
125 |
Correct |
33 ms |
33216 KB |
Output is correct |
126 |
Correct |
62 ms |
34612 KB |
Output is correct |
127 |
Correct |
34 ms |
33804 KB |
Output is correct |
128 |
Correct |
43 ms |
42700 KB |
Output is correct |
129 |
Correct |
42 ms |
43556 KB |
Output is correct |
130 |
Correct |
42 ms |
43620 KB |
Output is correct |
131 |
Correct |
45 ms |
43656 KB |
Output is correct |
132 |
Correct |
41 ms |
43568 KB |
Output is correct |
133 |
Correct |
46 ms |
43596 KB |
Output is correct |
134 |
Correct |
13 ms |
3272 KB |
Output is correct |
135 |
Correct |
12 ms |
3172 KB |
Output is correct |
136 |
Correct |
83 ms |
5692 KB |
Output is correct |
137 |
Correct |
20 ms |
5596 KB |
Output is correct |
138 |
Correct |
33 ms |
6196 KB |
Output is correct |
139 |
Correct |
59 ms |
10792 KB |
Output is correct |
140 |
Correct |
8 ms |
1996 KB |
Output is correct |
141 |
Correct |
9 ms |
1112 KB |
Output is correct |
142 |
Correct |
58 ms |
10800 KB |
Output is correct |
143 |
Correct |
74 ms |
12068 KB |
Output is correct |
144 |
Correct |
60 ms |
43688 KB |
Output is correct |
145 |
Correct |
51 ms |
43764 KB |
Output is correct |