#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
int N, M;
vvi adj;
vvi adj2;
bool possible;
vi cnt[2];
vvi CNT[2];
vi ans, tmpans;
vi bw;
vi BW[2];
bool usable;
void dfsBW(int v, int p)
{
bw[v] = !bw[p];
BW[bw[v]].push_back(v);
for (int u : adj[v])
if (u != p)
dfsBW(u, v);
}
void dfs(int v, int p)
{
cnt[0][v] = 1;
cnt[1][v] = 0;
for (int u : adj[v])
if (u != p)
{
dfs(u, v);
cnt[0][v] += cnt[1][u];
cnt[1][v] += cnt[0][u];
}
}
void dfsAns(int v, int p)
{
tmpans.push_back(v); // safe besuchen
vi todo;
for (int u : adj2[v])
if (u != p)
todo.push_back(u);
dfs(v, v);
if (sz(todo) <= 1)
{
int idx = 0;
for (int u : adj[v])
if (u != p && (todo.empty() || u != todo[0]) && cnt[1][u] > 0)
{
assert(cnt[0][u] == 1);
if (idx > 0)
tmpans.push_back(v);
tmpans.push_back(u);
++idx;
}
if (sz(todo) == 1)
{
if (idx > 0)
tmpans.push_back(v);
dfsAns(todo[0], v);
}
}
else
{
// must be 2
usable = false;
// assert(false);
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin >> N >> M;
if (M > N - 1)
{
cout << "NO\n";
return 0;
}
adj.resize(N);
for (int i = 0, a, b; i < M; ++i)
{
cin >> a >> b;
--a, --b;
adj[a].push_back(b), adj[b].push_back(a);
}
bw.assign(N, 0);
dfsBW(0, 0);
adj2.resize(N);
possible = true;
cnt[0].resize(N), cnt[1].resize(N);
for (int v = 0; v < N; ++v)
{
dfs(v, v);
for (int u : adj[v])
if (cnt[0][u] >= 2)
adj2[v].push_back(u);
if (sz(adj2[v]) > 2)
possible = false;
}
if (possible)
{
cout << "YES\n";
int color = 0;
if (sz(BW[!color]) < sz(BW[color]))
color = !color;
if (BW[color].empty())
{
ans.push_back(0);
}
else
{
for (int v = 0; v < N; ++v)
{
if (sz(adj2[v]) <= 1)
{
usable = true;
tmpans.clear();
dfsAns(v, v);
if (usable && (ans.empty() || sz(ans) > sz(tmpans)))
swap(tmpans, ans);
}
}
int n = sz(ans);
for (int i = n - 1; i >= 0; --i)
ans.push_back(ans[i]);
}
cout << sz(ans) << '\n';
for (int x : ans)
cout << x + 1 << " ";
cout << '\n';
}
else
cout << "NO\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
316 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 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 |
1 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 |
320 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
320 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 |
320 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
320 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 |
316 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
316 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
320 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
1 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 |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
328 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
316 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
0 ms |
212 KB |
Output is correct |
63 |
Correct |
0 ms |
212 KB |
Output is correct |
64 |
Correct |
0 ms |
316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
316 KB |
Output is correct |
6 |
Correct |
0 ms |
324 KB |
Output is correct |
7 |
Correct |
0 ms |
268 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
49 ms |
624 KB |
Output is correct |
12 |
Correct |
17 ms |
628 KB |
Output is correct |
13 |
Correct |
20 ms |
424 KB |
Output is correct |
14 |
Correct |
23 ms |
468 KB |
Output is correct |
15 |
Correct |
25 ms |
468 KB |
Output is correct |
16 |
Correct |
54 ms |
636 KB |
Output is correct |
17 |
Correct |
55 ms |
644 KB |
Output is correct |
18 |
Correct |
54 ms |
596 KB |
Output is correct |
19 |
Correct |
56 ms |
648 KB |
Output is correct |
20 |
Correct |
54 ms |
644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
316 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 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 |
1 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 |
320 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
320 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 |
320 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
320 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 |
316 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
316 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
320 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
1 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 |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
328 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
0 ms |
316 KB |
Output is correct |
61 |
Correct |
0 ms |
212 KB |
Output is correct |
62 |
Correct |
0 ms |
212 KB |
Output is correct |
63 |
Correct |
0 ms |
212 KB |
Output is correct |
64 |
Correct |
0 ms |
316 KB |
Output is correct |
65 |
Correct |
1 ms |
320 KB |
Output is correct |
66 |
Correct |
0 ms |
212 KB |
Output is correct |
67 |
Correct |
0 ms |
212 KB |
Output is correct |
68 |
Correct |
0 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 |
0 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 |
0 ms |
212 KB |
Output is correct |
76 |
Correct |
0 ms |
212 KB |
Output is correct |
77 |
Correct |
0 ms |
212 KB |
Output is correct |
78 |
Correct |
1 ms |
212 KB |
Output is correct |
79 |
Correct |
5 ms |
340 KB |
Output is correct |
80 |
Correct |
5 ms |
340 KB |
Output is correct |
81 |
Correct |
6 ms |
424 KB |
Output is correct |
82 |
Correct |
7 ms |
444 KB |
Output is correct |
83 |
Correct |
6 ms |
340 KB |
Output is correct |
84 |
Correct |
6 ms |
340 KB |
Output is correct |
85 |
Correct |
6 ms |
340 KB |
Output is correct |
86 |
Correct |
6 ms |
340 KB |
Output is correct |
87 |
Correct |
6 ms |
340 KB |
Output is correct |
88 |
Correct |
5 ms |
340 KB |
Output is correct |
89 |
Correct |
39 ms |
536 KB |
Output is correct |
90 |
Correct |
32 ms |
524 KB |
Output is correct |
91 |
Correct |
40 ms |
524 KB |
Output is correct |
92 |
Correct |
33 ms |
468 KB |
Output is correct |
93 |
Correct |
38 ms |
552 KB |
Output is correct |
94 |
Correct |
36 ms |
512 KB |
Output is correct |
95 |
Correct |
51 ms |
488 KB |
Output is correct |
96 |
Correct |
62 ms |
552 KB |
Output is correct |
97 |
Correct |
38 ms |
488 KB |
Output is correct |
98 |
Correct |
40 ms |
552 KB |
Output is correct |
99 |
Correct |
37 ms |
516 KB |
Output is correct |
100 |
Correct |
41 ms |
528 KB |
Output is correct |
101 |
Correct |
32 ms |
504 KB |
Output is correct |
102 |
Correct |
34 ms |
532 KB |
Output is correct |
103 |
Correct |
42 ms |
536 KB |
Output is correct |
104 |
Correct |
27 ms |
504 KB |
Output is correct |
105 |
Correct |
40 ms |
516 KB |
Output is correct |
106 |
Correct |
38 ms |
468 KB |
Output is correct |
107 |
Correct |
30 ms |
516 KB |
Output is correct |
108 |
Correct |
43 ms |
532 KB |
Output is correct |
109 |
Correct |
44 ms |
520 KB |
Output is correct |
110 |
Correct |
42 ms |
528 KB |
Output is correct |
111 |
Correct |
58 ms |
496 KB |
Output is correct |
112 |
Correct |
33 ms |
516 KB |
Output is correct |
113 |
Correct |
62 ms |
544 KB |
Output is correct |
114 |
Correct |
38 ms |
536 KB |
Output is correct |
115 |
Correct |
27 ms |
512 KB |
Output is correct |
116 |
Correct |
49 ms |
516 KB |
Output is correct |
117 |
Correct |
46 ms |
560 KB |
Output is correct |
118 |
Correct |
57 ms |
528 KB |
Output is correct |
119 |
Correct |
41 ms |
524 KB |
Output is correct |
120 |
Correct |
53 ms |
524 KB |
Output is correct |
121 |
Correct |
40 ms |
524 KB |
Output is correct |
122 |
Correct |
34 ms |
500 KB |
Output is correct |
123 |
Correct |
26 ms |
496 KB |
Output is correct |
124 |
Correct |
44 ms |
556 KB |
Output is correct |
125 |
Correct |
37 ms |
500 KB |
Output is correct |
126 |
Correct |
37 ms |
596 KB |
Output is correct |
127 |
Correct |
43 ms |
492 KB |
Output is correct |
128 |
Correct |
43 ms |
552 KB |
Output is correct |
129 |
Correct |
9 ms |
448 KB |
Output is correct |
130 |
Correct |
8 ms |
472 KB |
Output is correct |
131 |
Correct |
8 ms |
452 KB |
Output is correct |
132 |
Correct |
10 ms |
456 KB |
Output is correct |
133 |
Correct |
8 ms |
448 KB |
Output is correct |
134 |
Correct |
0 ms |
340 KB |
Output is correct |
135 |
Correct |
1 ms |
340 KB |
Output is correct |
136 |
Correct |
1 ms |
328 KB |
Output is correct |
137 |
Correct |
1 ms |
340 KB |
Output is correct |
138 |
Correct |
1 ms |
340 KB |
Output is correct |
139 |
Correct |
1 ms |
340 KB |
Output is correct |
140 |
Correct |
1 ms |
212 KB |
Output is correct |
141 |
Correct |
1 ms |
212 KB |
Output is correct |
142 |
Correct |
0 ms |
212 KB |
Output is correct |
143 |
Correct |
1 ms |
212 KB |
Output is correct |
144 |
Correct |
56 ms |
644 KB |
Output is correct |
145 |
Correct |
54 ms |
644 KB |
Output is correct |