#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef int64_t ll;
typedef long double ld;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define pb emplace_back
#define mp make_pair
#define mt make_tuple
#define pii pair<int,int>
#define F(n) Fi(i,n)
#define Fi(i,n) Fl(i,0,n)
#define Fl(i,l,n) for(int i=l;i<n;i++)
#define RF(n) RFi(i,n)
#define RFi(i,n) RFl(i,0,n)
#define RFl(i,l,n) for(int i=n-1;i>=l;i--)
#define all(v) begin(v),end(v)
#define siz(v) (ll(v.size()))
#define get_pos(v,x) (lower_bound(all(v),x)-begin(v))
#define sort_uni(v) sort(begin(v),end(v)),v.erase(unique(begin(v),end(v)),end(v))
#define mem(v,x) memset(v,x,sizeof v)
#define ff first
#define ss second
#define mid ((l+r)>>1)
#define RAN(a,b) uniform_int_distribution<int> (a, b)(rng)
/*
bool chain = true;
Fl(i, 1, n+1){
if(edges[i].size() > 2){
chain = false;
break;
}
}
if(chain){
printf("YES\n");
printf("%d\n", 2 * (n-2));
F(n-2) printf("%d ", i+2);
if(n%2 == 0) RF(n-2) printf("%d ", i+2);
else F(n-2) printf("%d ", i+2);
}else{
printf("YES\n1\n1");
}
*/
template <typename T> using max_heap = __gnu_pbds::priority_queue<T,less<T> >;
template <typename T> using min_heap = __gnu_pbds::priority_queue<T,greater<T> >;
template <typename T> using rbt = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
const int maxN = 1010;
vector<int> edges[maxN];
bool visited[maxN];
int depth1[maxN], mx_depth1 = -1, deepest_node1;
void dfs1(int pos, int fa){ // dfs1 finds one endpoint of the diameter
for(int i : edges[pos]){
if(visited[i] || i == fa) continue;
depth1[i] = depth1[pos] + 1;
if(mx_depth1 < depth1[i]){
mx_depth1 = depth1[i];
deepest_node1 = i;
}
dfs1(i, pos);
}
}
int sz[maxN];
int depth[maxN];
void dfs_sz(int pos, int fa){
sz[pos] = 1;
for(int i : edges[pos]){
if(visited[i] || i == fa) continue;
depth[i] = depth[pos] + 1;
dfs_sz(i, pos);
sz[pos] += sz[i];
}
}
vector<int> tour;
int cnt;
int nn;
void Euler_Tour(int pos, int fa){
tour.pb(pos);
cnt++;
if(cnt == nn) return;
bool danger = false;
for(int i : edges[pos]){
if(visited[i] || i == fa) continue;
if(sz[i] >= 2){
if(!danger){
danger = true;
}else{
printf("NO\n");
exit(0);
}
}
Euler_Tour(i, pos);
if(cnt == nn) return;
tour.pb(pos);
}
}
signed main(){
int n,m;
cin >> n >> m;
nn = n;
F(m){
int x,y;
cin >> x >> y;
edges[x].pb(y);
edges[y].pb(x);
}
if(n == 1){
printf("YES\n1\n1");
exit(0);
}
if(n == 2){
printf("YES\n2\n1 1");
exit(0);
}
if(m == n-1){
F(n) {
if(edges[i+1].size() == 1){
visited[i+1] = true;
nn--;
sz[i+1] = 1000000;
}
}
F(n){
if(!visited[i+1]){
mx_depth1 = 0;
deepest_node1 = i+1;
dfs1(i+1, 0);
break;
}
}
int root = deepest_node1;
dfs_sz(root, 0);
Fl(i, 1, n+1){
sort(all(edges[i]), [&](int a, int b){return sz[a] < sz[b];});
}
Euler_Tour(root, 0);
printf("YES\n");
printf("%d\n", 2 * (int)tour.size());
for(int i : tour){
printf("%d ", i);
}
if(tour.size() % 2 == 0) reverse(all(tour));
for(int i : tour){
printf("%d ", i);
}
}else{
printf("NO\n");
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
336 KB |
Output is correct |
12 |
Correct |
0 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
0 ms |
336 KB |
Output is correct |
15 |
Correct |
1 ms |
336 KB |
Output is correct |
16 |
Correct |
0 ms |
336 KB |
Output is correct |
17 |
Correct |
0 ms |
336 KB |
Output is correct |
18 |
Correct |
0 ms |
336 KB |
Output is correct |
19 |
Correct |
0 ms |
336 KB |
Output is correct |
20 |
Correct |
0 ms |
336 KB |
Output is correct |
21 |
Correct |
0 ms |
336 KB |
Output is correct |
22 |
Correct |
0 ms |
336 KB |
Output is correct |
23 |
Correct |
0 ms |
336 KB |
Output is correct |
24 |
Correct |
0 ms |
336 KB |
Output is correct |
25 |
Correct |
0 ms |
336 KB |
Output is correct |
26 |
Correct |
0 ms |
336 KB |
Output is correct |
27 |
Correct |
0 ms |
336 KB |
Output is correct |
28 |
Correct |
0 ms |
336 KB |
Output is correct |
29 |
Correct |
1 ms |
336 KB |
Output is correct |
30 |
Correct |
0 ms |
336 KB |
Output is correct |
31 |
Correct |
1 ms |
336 KB |
Output is correct |
32 |
Correct |
0 ms |
336 KB |
Output is correct |
33 |
Correct |
1 ms |
336 KB |
Output is correct |
34 |
Correct |
0 ms |
336 KB |
Output is correct |
35 |
Correct |
0 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
336 KB |
Output is correct |
37 |
Correct |
0 ms |
336 KB |
Output is correct |
38 |
Correct |
1 ms |
336 KB |
Output is correct |
39 |
Correct |
1 ms |
336 KB |
Output is correct |
40 |
Correct |
0 ms |
336 KB |
Output is correct |
41 |
Correct |
0 ms |
336 KB |
Output is correct |
42 |
Correct |
0 ms |
336 KB |
Output is correct |
43 |
Correct |
0 ms |
336 KB |
Output is correct |
44 |
Correct |
0 ms |
336 KB |
Output is correct |
45 |
Correct |
0 ms |
336 KB |
Output is correct |
46 |
Correct |
0 ms |
336 KB |
Output is correct |
47 |
Correct |
0 ms |
336 KB |
Output is correct |
48 |
Correct |
1 ms |
336 KB |
Output is correct |
49 |
Correct |
1 ms |
336 KB |
Output is correct |
50 |
Correct |
1 ms |
336 KB |
Output is correct |
51 |
Correct |
0 ms |
336 KB |
Output is correct |
52 |
Correct |
0 ms |
336 KB |
Output is correct |
53 |
Correct |
1 ms |
336 KB |
Output is correct |
54 |
Correct |
0 ms |
336 KB |
Output is correct |
55 |
Correct |
1 ms |
336 KB |
Output is correct |
56 |
Correct |
0 ms |
336 KB |
Output is correct |
57 |
Correct |
0 ms |
336 KB |
Output is correct |
58 |
Correct |
0 ms |
336 KB |
Output is correct |
59 |
Correct |
1 ms |
208 KB |
Output is correct |
60 |
Correct |
1 ms |
336 KB |
Output is correct |
61 |
Correct |
0 ms |
336 KB |
Output is correct |
62 |
Correct |
0 ms |
336 KB |
Output is correct |
63 |
Correct |
1 ms |
336 KB |
Output is correct |
64 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
452 KB |
Output is correct |
19 |
Correct |
1 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
336 KB |
Output is correct |
12 |
Correct |
0 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
0 ms |
336 KB |
Output is correct |
15 |
Correct |
1 ms |
336 KB |
Output is correct |
16 |
Correct |
0 ms |
336 KB |
Output is correct |
17 |
Correct |
0 ms |
336 KB |
Output is correct |
18 |
Correct |
0 ms |
336 KB |
Output is correct |
19 |
Correct |
0 ms |
336 KB |
Output is correct |
20 |
Correct |
0 ms |
336 KB |
Output is correct |
21 |
Correct |
0 ms |
336 KB |
Output is correct |
22 |
Correct |
0 ms |
336 KB |
Output is correct |
23 |
Correct |
0 ms |
336 KB |
Output is correct |
24 |
Correct |
0 ms |
336 KB |
Output is correct |
25 |
Correct |
0 ms |
336 KB |
Output is correct |
26 |
Correct |
0 ms |
336 KB |
Output is correct |
27 |
Correct |
0 ms |
336 KB |
Output is correct |
28 |
Correct |
0 ms |
336 KB |
Output is correct |
29 |
Correct |
1 ms |
336 KB |
Output is correct |
30 |
Correct |
0 ms |
336 KB |
Output is correct |
31 |
Correct |
1 ms |
336 KB |
Output is correct |
32 |
Correct |
0 ms |
336 KB |
Output is correct |
33 |
Correct |
1 ms |
336 KB |
Output is correct |
34 |
Correct |
0 ms |
336 KB |
Output is correct |
35 |
Correct |
0 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
336 KB |
Output is correct |
37 |
Correct |
0 ms |
336 KB |
Output is correct |
38 |
Correct |
1 ms |
336 KB |
Output is correct |
39 |
Correct |
1 ms |
336 KB |
Output is correct |
40 |
Correct |
0 ms |
336 KB |
Output is correct |
41 |
Correct |
0 ms |
336 KB |
Output is correct |
42 |
Correct |
0 ms |
336 KB |
Output is correct |
43 |
Correct |
0 ms |
336 KB |
Output is correct |
44 |
Correct |
0 ms |
336 KB |
Output is correct |
45 |
Correct |
0 ms |
336 KB |
Output is correct |
46 |
Correct |
0 ms |
336 KB |
Output is correct |
47 |
Correct |
0 ms |
336 KB |
Output is correct |
48 |
Correct |
1 ms |
336 KB |
Output is correct |
49 |
Correct |
1 ms |
336 KB |
Output is correct |
50 |
Correct |
1 ms |
336 KB |
Output is correct |
51 |
Correct |
0 ms |
336 KB |
Output is correct |
52 |
Correct |
0 ms |
336 KB |
Output is correct |
53 |
Correct |
1 ms |
336 KB |
Output is correct |
54 |
Correct |
0 ms |
336 KB |
Output is correct |
55 |
Correct |
1 ms |
336 KB |
Output is correct |
56 |
Correct |
0 ms |
336 KB |
Output is correct |
57 |
Correct |
0 ms |
336 KB |
Output is correct |
58 |
Correct |
0 ms |
336 KB |
Output is correct |
59 |
Correct |
1 ms |
208 KB |
Output is correct |
60 |
Correct |
1 ms |
336 KB |
Output is correct |
61 |
Correct |
0 ms |
336 KB |
Output is correct |
62 |
Correct |
0 ms |
336 KB |
Output is correct |
63 |
Correct |
1 ms |
336 KB |
Output is correct |
64 |
Correct |
1 ms |
336 KB |
Output is correct |
65 |
Correct |
0 ms |
208 KB |
Output is correct |
66 |
Correct |
0 ms |
208 KB |
Output is correct |
67 |
Correct |
0 ms |
336 KB |
Output is correct |
68 |
Correct |
0 ms |
336 KB |
Output is correct |
69 |
Correct |
0 ms |
336 KB |
Output is correct |
70 |
Correct |
0 ms |
336 KB |
Output is correct |
71 |
Correct |
0 ms |
208 KB |
Output is correct |
72 |
Correct |
1 ms |
336 KB |
Output is correct |
73 |
Correct |
0 ms |
336 KB |
Output is correct |
74 |
Correct |
0 ms |
336 KB |
Output is correct |
75 |
Correct |
0 ms |
336 KB |
Output is correct |
76 |
Correct |
0 ms |
328 KB |
Output is correct |
77 |
Correct |
0 ms |
336 KB |
Output is correct |
78 |
Correct |
0 ms |
336 KB |
Output is correct |
79 |
Correct |
1 ms |
336 KB |
Output is correct |
80 |
Correct |
1 ms |
332 KB |
Output is correct |
81 |
Correct |
1 ms |
336 KB |
Output is correct |
82 |
Correct |
1 ms |
336 KB |
Output is correct |
83 |
Correct |
1 ms |
336 KB |
Output is correct |
84 |
Correct |
1 ms |
336 KB |
Output is correct |
85 |
Correct |
1 ms |
336 KB |
Output is correct |
86 |
Correct |
1 ms |
336 KB |
Output is correct |
87 |
Correct |
1 ms |
336 KB |
Output is correct |
88 |
Correct |
1 ms |
336 KB |
Output is correct |
89 |
Correct |
1 ms |
336 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 |
336 KB |
Output is correct |
94 |
Correct |
1 ms |
336 KB |
Output is correct |
95 |
Correct |
1 ms |
336 KB |
Output is correct |
96 |
Correct |
1 ms |
336 KB |
Output is correct |
97 |
Correct |
2 ms |
336 KB |
Output is correct |
98 |
Correct |
1 ms |
336 KB |
Output is correct |
99 |
Correct |
1 ms |
336 KB |
Output is correct |
100 |
Correct |
1 ms |
336 KB |
Output is correct |
101 |
Correct |
1 ms |
336 KB |
Output is correct |
102 |
Correct |
1 ms |
336 KB |
Output is correct |
103 |
Correct |
1 ms |
336 KB |
Output is correct |
104 |
Correct |
1 ms |
340 KB |
Output is correct |
105 |
Correct |
1 ms |
336 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 |
336 KB |
Output is correct |
112 |
Correct |
2 ms |
336 KB |
Output is correct |
113 |
Correct |
1 ms |
336 KB |
Output is correct |
114 |
Correct |
1 ms |
336 KB |
Output is correct |
115 |
Correct |
1 ms |
340 KB |
Output is correct |
116 |
Correct |
1 ms |
336 KB |
Output is correct |
117 |
Correct |
1 ms |
336 KB |
Output is correct |
118 |
Correct |
1 ms |
336 KB |
Output is correct |
119 |
Correct |
1 ms |
336 KB |
Output is correct |
120 |
Correct |
1 ms |
336 KB |
Output is correct |
121 |
Correct |
1 ms |
336 KB |
Output is correct |
122 |
Correct |
1 ms |
336 KB |
Output is correct |
123 |
Correct |
1 ms |
340 KB |
Output is correct |
124 |
Correct |
1 ms |
336 KB |
Output is correct |
125 |
Correct |
1 ms |
336 KB |
Output is correct |
126 |
Correct |
1 ms |
336 KB |
Output is correct |
127 |
Correct |
1 ms |
336 KB |
Output is correct |
128 |
Correct |
1 ms |
336 KB |
Output is correct |
129 |
Correct |
1 ms |
336 KB |
Output is correct |
130 |
Correct |
1 ms |
336 KB |
Output is correct |
131 |
Correct |
1 ms |
336 KB |
Output is correct |
132 |
Correct |
1 ms |
332 KB |
Output is correct |
133 |
Correct |
1 ms |
336 KB |
Output is correct |
134 |
Correct |
37 ms |
1960 KB |
Output is correct |
135 |
Correct |
37 ms |
1864 KB |
Output is correct |
136 |
Correct |
82 ms |
5440 KB |
Output is correct |
137 |
Correct |
60 ms |
3380 KB |
Output is correct |
138 |
Correct |
112 ms |
4636 KB |
Output is correct |
139 |
Correct |
194 ms |
7896 KB |
Output is correct |
140 |
Correct |
23 ms |
1440 KB |
Output is correct |
141 |
Correct |
8 ms |
720 KB |
Output is correct |
142 |
Correct |
161 ms |
7360 KB |
Output is correct |
143 |
Correct |
192 ms |
8112 KB |
Output is correct |
144 |
Correct |
1 ms |
464 KB |
Output is correct |
145 |
Correct |
1 ms |
460 KB |
Output is correct |