//In the name of God
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
const ll maxn = 2e6 + 100;
const ll mod = 1e9 + 7;
const ll inf = 1e18;
#define fast_io ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io freopen("input.txt", "r+", stdin);freopen("output.txt", "w+", stdout);
#define pb push_back
#define Mp make_pair
#define F first
#define S second
#define Sz(x) ll((x).size())
#define all(x) (x).begin(), (x).end()
ll pw(ll a, ll b){
ll c = 1;
while(b){
if(b & 1) c = c * a % mod;
a = a * a % mod;
b >>= 1;
}
return c;
}
int n, m;
namespace sub1{
int g[maxn], d[maxn], p[maxn], pp[maxn];
bool vis[maxn];
queue<int> q;
int get(int x){
int y = 0;
for(int i = 0; i < n; i++){
if((x >> i) & 1) y |= g[i];
}
return y;
}
bool check(vector<int> vec){
int v = (1 << n) - 1;
for(int i : vec){
v = get(v & (~(1 << i)));
cout << i << " ! ";
for(int j = 0; j < n; j++){
if((v >> j) & 1) cout << j << " ";
else cout << " ";
}
cout << "\n";
}
return (v == 0);
}
void solve(){
for(int i = 0; i < m; i++){
int v, u;
cin >> v >> u;
v--;
u--;
g[v] |= (1 << u);
g[u] |= (1 << v);
}
p[(1 << n) - 1] = -1;
vis[(1 << n) - 1] = 1;
q.push((1 << n) - 1);
while(!q.empty()){
int v = q.front();
q.pop();
for(int i = 0; i < n; i++){
int u = get(v & (~(1 << i)));
if(!vis[u]){
vis[u] = 1;
d[u] = d[v] + 1;
p[u] = v;
pp[u] = i;
q.push(u);
}
}
}
if(!vis[0]){
cout << "NO\n";
return;
}
cout << "YES\n";
cout << d[0] << "\n";
int v = 0;
vector<int> vec;
while(p[v] != -1){
vec.pb(pp[v]);
v = p[v];
}
reverse(all(vec));
for(int i : vec){
cout << i + 1 << " ";
}
return;
}
};
vector<int> gg[maxn], g[maxn], vec;
bool vvv;
void dfs(int v, int p = -1){
if(vvv) vec.pb(v);
vvv = 1;
for(int u : g[v]){
if(Sz(g[u]) == 1){
vec.pb(u);
vec.pb(v);
}
}
for(int u : g[v]){
if(Sz(g[u]) != 1 && u != p) dfs(u, v);
}
return;
}
int main(){
fast_io;
cin >> n >> m;
if(m != n - 1){
cout << "NO\n";
return 0;
}
if(n <= 20){
sub1::solve();
return 0;
}
for(int i = 0; i < m; i++){
int v, u;
cin >> v >> u;
gg[v].pb(u);
gg[u].pb(v);
}
vector<int> ve2;
for(int i = 1; i <= n; i++){
if(Sz(gg[i]) == 1) continue;
ve2.pb(i);
for(int j : gg[i]){
if(Sz(gg[j]) != 1) g[i].pb(j);
}
}
if(Sz(ve2) == 1){
cout << "YES\n2\n" << ve2[0] << " " << ve2[0] << "\n";
return 0;
}
if(Sz(ve2) == 2){
cout << "YES\n2\n" << ve2[0] << " " << ve2[1] << " " << ve2[1] << " " << ve2[0] << "\n";
return 0;
}
int v = -1;
for(int i = 1; i <= n; i++){
if(Sz(g[i]) < 2) continue;
int c = 0;
for(int j : g[i]){
if(Sz(g[j]) != 1) c++;
}
if(c > 2){
cout << "NO\n";
return 0;
}
if(c != 2) v = i;
}
dfs(v);
vec.pop_back();
vector<int> v2 = vec;
reverse(all(v2));
for(int i : v2){
vec.pb(i);
}
cout << "YES\n";
cout << Sz(vec) << "\n";
for(int i : vec){
cout << i << " ";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
94148 KB |
Output is correct |
2 |
Correct |
42 ms |
94164 KB |
Output is correct |
3 |
Correct |
43 ms |
94244 KB |
Output is correct |
4 |
Correct |
43 ms |
94188 KB |
Output is correct |
5 |
Correct |
42 ms |
94148 KB |
Output is correct |
6 |
Correct |
43 ms |
94160 KB |
Output is correct |
7 |
Correct |
43 ms |
94120 KB |
Output is correct |
8 |
Correct |
42 ms |
94268 KB |
Output is correct |
9 |
Correct |
42 ms |
94276 KB |
Output is correct |
10 |
Correct |
45 ms |
94164 KB |
Output is correct |
11 |
Correct |
48 ms |
94288 KB |
Output is correct |
12 |
Correct |
45 ms |
94276 KB |
Output is correct |
13 |
Correct |
53 ms |
94272 KB |
Output is correct |
14 |
Correct |
49 ms |
94212 KB |
Output is correct |
15 |
Correct |
41 ms |
94276 KB |
Output is correct |
16 |
Correct |
42 ms |
94228 KB |
Output is correct |
17 |
Correct |
42 ms |
94316 KB |
Output is correct |
18 |
Correct |
46 ms |
94316 KB |
Output is correct |
19 |
Correct |
49 ms |
94192 KB |
Output is correct |
20 |
Correct |
48 ms |
94280 KB |
Output is correct |
21 |
Correct |
45 ms |
94236 KB |
Output is correct |
22 |
Correct |
46 ms |
94184 KB |
Output is correct |
23 |
Correct |
45 ms |
94244 KB |
Output is correct |
24 |
Correct |
43 ms |
94344 KB |
Output is correct |
25 |
Correct |
43 ms |
94252 KB |
Output is correct |
26 |
Correct |
43 ms |
94304 KB |
Output is correct |
27 |
Correct |
47 ms |
94324 KB |
Output is correct |
28 |
Correct |
45 ms |
94360 KB |
Output is correct |
29 |
Correct |
47 ms |
94364 KB |
Output is correct |
30 |
Correct |
45 ms |
94364 KB |
Output is correct |
31 |
Correct |
46 ms |
94404 KB |
Output is correct |
32 |
Correct |
43 ms |
94380 KB |
Output is correct |
33 |
Correct |
45 ms |
94368 KB |
Output is correct |
34 |
Correct |
44 ms |
94392 KB |
Output is correct |
35 |
Correct |
42 ms |
94660 KB |
Output is correct |
36 |
Correct |
43 ms |
94632 KB |
Output is correct |
37 |
Correct |
45 ms |
94616 KB |
Output is correct |
38 |
Correct |
44 ms |
94660 KB |
Output is correct |
39 |
Correct |
45 ms |
94880 KB |
Output is correct |
40 |
Correct |
43 ms |
94944 KB |
Output is correct |
41 |
Correct |
46 ms |
94528 KB |
Output is correct |
42 |
Correct |
46 ms |
94916 KB |
Output is correct |
43 |
Correct |
44 ms |
94948 KB |
Output is correct |
44 |
Correct |
43 ms |
94864 KB |
Output is correct |
45 |
Correct |
43 ms |
94796 KB |
Output is correct |
46 |
Correct |
51 ms |
94652 KB |
Output is correct |
47 |
Correct |
45 ms |
95164 KB |
Output is correct |
48 |
Correct |
48 ms |
95684 KB |
Output is correct |
49 |
Correct |
47 ms |
94712 KB |
Output is correct |
50 |
Correct |
44 ms |
94852 KB |
Output is correct |
51 |
Correct |
44 ms |
95560 KB |
Output is correct |
52 |
Correct |
43 ms |
94592 KB |
Output is correct |
53 |
Correct |
44 ms |
94756 KB |
Output is correct |
54 |
Correct |
44 ms |
95312 KB |
Output is correct |
55 |
Correct |
46 ms |
95088 KB |
Output is correct |
56 |
Correct |
43 ms |
94552 KB |
Output is correct |
57 |
Correct |
44 ms |
96076 KB |
Output is correct |
58 |
Correct |
45 ms |
94916 KB |
Output is correct |
59 |
Correct |
43 ms |
94236 KB |
Output is correct |
60 |
Correct |
42 ms |
94148 KB |
Output is correct |
61 |
Correct |
44 ms |
94160 KB |
Output is correct |
62 |
Correct |
46 ms |
94216 KB |
Output is correct |
63 |
Correct |
44 ms |
94228 KB |
Output is correct |
64 |
Correct |
44 ms |
94284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
41 ms |
94168 KB |
Output is correct |
2 |
Correct |
45 ms |
94208 KB |
Output is correct |
3 |
Correct |
44 ms |
94248 KB |
Output is correct |
4 |
Correct |
47 ms |
94372 KB |
Output is correct |
5 |
Correct |
43 ms |
94232 KB |
Output is correct |
6 |
Correct |
44 ms |
94148 KB |
Output is correct |
7 |
Correct |
43 ms |
94156 KB |
Output is correct |
8 |
Correct |
44 ms |
94260 KB |
Output is correct |
9 |
Correct |
42 ms |
94176 KB |
Output is correct |
10 |
Correct |
45 ms |
94428 KB |
Output is correct |
11 |
Correct |
45 ms |
94412 KB |
Output is correct |
12 |
Correct |
49 ms |
94332 KB |
Output is correct |
13 |
Correct |
45 ms |
94248 KB |
Output is correct |
14 |
Correct |
51 ms |
94356 KB |
Output is correct |
15 |
Correct |
44 ms |
94264 KB |
Output is correct |
16 |
Correct |
55 ms |
94408 KB |
Output is correct |
17 |
Correct |
46 ms |
94352 KB |
Output is correct |
18 |
Correct |
45 ms |
94408 KB |
Output is correct |
19 |
Correct |
45 ms |
94404 KB |
Output is correct |
20 |
Correct |
44 ms |
94404 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
94148 KB |
Output is correct |
2 |
Correct |
42 ms |
94164 KB |
Output is correct |
3 |
Correct |
43 ms |
94244 KB |
Output is correct |
4 |
Correct |
43 ms |
94188 KB |
Output is correct |
5 |
Correct |
42 ms |
94148 KB |
Output is correct |
6 |
Correct |
43 ms |
94160 KB |
Output is correct |
7 |
Correct |
43 ms |
94120 KB |
Output is correct |
8 |
Correct |
42 ms |
94268 KB |
Output is correct |
9 |
Correct |
42 ms |
94276 KB |
Output is correct |
10 |
Correct |
45 ms |
94164 KB |
Output is correct |
11 |
Correct |
48 ms |
94288 KB |
Output is correct |
12 |
Correct |
45 ms |
94276 KB |
Output is correct |
13 |
Correct |
53 ms |
94272 KB |
Output is correct |
14 |
Correct |
49 ms |
94212 KB |
Output is correct |
15 |
Correct |
41 ms |
94276 KB |
Output is correct |
16 |
Correct |
42 ms |
94228 KB |
Output is correct |
17 |
Correct |
42 ms |
94316 KB |
Output is correct |
18 |
Correct |
46 ms |
94316 KB |
Output is correct |
19 |
Correct |
49 ms |
94192 KB |
Output is correct |
20 |
Correct |
48 ms |
94280 KB |
Output is correct |
21 |
Correct |
45 ms |
94236 KB |
Output is correct |
22 |
Correct |
46 ms |
94184 KB |
Output is correct |
23 |
Correct |
45 ms |
94244 KB |
Output is correct |
24 |
Correct |
43 ms |
94344 KB |
Output is correct |
25 |
Correct |
43 ms |
94252 KB |
Output is correct |
26 |
Correct |
43 ms |
94304 KB |
Output is correct |
27 |
Correct |
47 ms |
94324 KB |
Output is correct |
28 |
Correct |
45 ms |
94360 KB |
Output is correct |
29 |
Correct |
47 ms |
94364 KB |
Output is correct |
30 |
Correct |
45 ms |
94364 KB |
Output is correct |
31 |
Correct |
46 ms |
94404 KB |
Output is correct |
32 |
Correct |
43 ms |
94380 KB |
Output is correct |
33 |
Correct |
45 ms |
94368 KB |
Output is correct |
34 |
Correct |
44 ms |
94392 KB |
Output is correct |
35 |
Correct |
42 ms |
94660 KB |
Output is correct |
36 |
Correct |
43 ms |
94632 KB |
Output is correct |
37 |
Correct |
45 ms |
94616 KB |
Output is correct |
38 |
Correct |
44 ms |
94660 KB |
Output is correct |
39 |
Correct |
45 ms |
94880 KB |
Output is correct |
40 |
Correct |
43 ms |
94944 KB |
Output is correct |
41 |
Correct |
46 ms |
94528 KB |
Output is correct |
42 |
Correct |
46 ms |
94916 KB |
Output is correct |
43 |
Correct |
44 ms |
94948 KB |
Output is correct |
44 |
Correct |
43 ms |
94864 KB |
Output is correct |
45 |
Correct |
43 ms |
94796 KB |
Output is correct |
46 |
Correct |
51 ms |
94652 KB |
Output is correct |
47 |
Correct |
45 ms |
95164 KB |
Output is correct |
48 |
Correct |
48 ms |
95684 KB |
Output is correct |
49 |
Correct |
47 ms |
94712 KB |
Output is correct |
50 |
Correct |
44 ms |
94852 KB |
Output is correct |
51 |
Correct |
44 ms |
95560 KB |
Output is correct |
52 |
Correct |
43 ms |
94592 KB |
Output is correct |
53 |
Correct |
44 ms |
94756 KB |
Output is correct |
54 |
Correct |
44 ms |
95312 KB |
Output is correct |
55 |
Correct |
46 ms |
95088 KB |
Output is correct |
56 |
Correct |
43 ms |
94552 KB |
Output is correct |
57 |
Correct |
44 ms |
96076 KB |
Output is correct |
58 |
Correct |
45 ms |
94916 KB |
Output is correct |
59 |
Correct |
43 ms |
94236 KB |
Output is correct |
60 |
Correct |
42 ms |
94148 KB |
Output is correct |
61 |
Correct |
44 ms |
94160 KB |
Output is correct |
62 |
Correct |
46 ms |
94216 KB |
Output is correct |
63 |
Correct |
44 ms |
94228 KB |
Output is correct |
64 |
Correct |
44 ms |
94284 KB |
Output is correct |
65 |
Correct |
45 ms |
94204 KB |
Output is correct |
66 |
Correct |
52 ms |
94272 KB |
Output is correct |
67 |
Correct |
49 ms |
94244 KB |
Output is correct |
68 |
Correct |
45 ms |
94256 KB |
Output is correct |
69 |
Correct |
45 ms |
94240 KB |
Output is correct |
70 |
Correct |
44 ms |
94240 KB |
Output is correct |
71 |
Correct |
44 ms |
94156 KB |
Output is correct |
72 |
Correct |
45 ms |
94256 KB |
Output is correct |
73 |
Correct |
45 ms |
94276 KB |
Output is correct |
74 |
Correct |
45 ms |
94204 KB |
Output is correct |
75 |
Correct |
47 ms |
94152 KB |
Output is correct |
76 |
Correct |
45 ms |
94236 KB |
Output is correct |
77 |
Correct |
46 ms |
94236 KB |
Output is correct |
78 |
Correct |
45 ms |
94148 KB |
Output is correct |
79 |
Correct |
45 ms |
94296 KB |
Output is correct |
80 |
Correct |
50 ms |
94364 KB |
Output is correct |
81 |
Correct |
46 ms |
94236 KB |
Output is correct |
82 |
Correct |
48 ms |
94176 KB |
Output is correct |
83 |
Correct |
49 ms |
94252 KB |
Output is correct |
84 |
Correct |
45 ms |
94244 KB |
Output is correct |
85 |
Correct |
45 ms |
94252 KB |
Output is correct |
86 |
Correct |
47 ms |
94280 KB |
Output is correct |
87 |
Correct |
48 ms |
94300 KB |
Output is correct |
88 |
Correct |
47 ms |
94292 KB |
Output is correct |
89 |
Correct |
46 ms |
94392 KB |
Output is correct |
90 |
Correct |
51 ms |
94280 KB |
Output is correct |
91 |
Correct |
54 ms |
94324 KB |
Output is correct |
92 |
Correct |
46 ms |
94340 KB |
Output is correct |
93 |
Correct |
46 ms |
94268 KB |
Output is correct |
94 |
Correct |
48 ms |
94244 KB |
Output is correct |
95 |
Correct |
45 ms |
94356 KB |
Output is correct |
96 |
Correct |
45 ms |
94364 KB |
Output is correct |
97 |
Correct |
46 ms |
94288 KB |
Output is correct |
98 |
Correct |
46 ms |
94376 KB |
Output is correct |
99 |
Correct |
45 ms |
94320 KB |
Output is correct |
100 |
Correct |
49 ms |
94324 KB |
Output is correct |
101 |
Correct |
45 ms |
94276 KB |
Output is correct |
102 |
Correct |
48 ms |
94256 KB |
Output is correct |
103 |
Correct |
45 ms |
94276 KB |
Output is correct |
104 |
Correct |
45 ms |
94336 KB |
Output is correct |
105 |
Correct |
44 ms |
94284 KB |
Output is correct |
106 |
Correct |
45 ms |
94276 KB |
Output is correct |
107 |
Correct |
46 ms |
94280 KB |
Output is correct |
108 |
Correct |
45 ms |
94356 KB |
Output is correct |
109 |
Correct |
51 ms |
94272 KB |
Output is correct |
110 |
Correct |
45 ms |
94276 KB |
Output is correct |
111 |
Correct |
44 ms |
94304 KB |
Output is correct |
112 |
Correct |
56 ms |
94336 KB |
Output is correct |
113 |
Correct |
45 ms |
94364 KB |
Output is correct |
114 |
Correct |
49 ms |
94284 KB |
Output is correct |
115 |
Correct |
43 ms |
94276 KB |
Output is correct |
116 |
Correct |
46 ms |
94252 KB |
Output is correct |
117 |
Correct |
46 ms |
94276 KB |
Output is correct |
118 |
Correct |
44 ms |
94264 KB |
Output is correct |
119 |
Correct |
50 ms |
94280 KB |
Output is correct |
120 |
Correct |
45 ms |
94352 KB |
Output is correct |
121 |
Correct |
44 ms |
94276 KB |
Output is correct |
122 |
Correct |
45 ms |
94288 KB |
Output is correct |
123 |
Correct |
45 ms |
94256 KB |
Output is correct |
124 |
Correct |
45 ms |
94284 KB |
Output is correct |
125 |
Correct |
50 ms |
94260 KB |
Output is correct |
126 |
Correct |
45 ms |
94276 KB |
Output is correct |
127 |
Correct |
45 ms |
94228 KB |
Output is correct |
128 |
Correct |
53 ms |
94276 KB |
Output is correct |
129 |
Correct |
44 ms |
94220 KB |
Output is correct |
130 |
Correct |
45 ms |
94308 KB |
Output is correct |
131 |
Correct |
47 ms |
94252 KB |
Output is correct |
132 |
Correct |
46 ms |
94372 KB |
Output is correct |
133 |
Correct |
46 ms |
94392 KB |
Output is correct |
134 |
Correct |
45 ms |
94216 KB |
Output is correct |
135 |
Correct |
44 ms |
94284 KB |
Output is correct |
136 |
Correct |
45 ms |
94276 KB |
Output is correct |
137 |
Correct |
46 ms |
94224 KB |
Output is correct |
138 |
Correct |
45 ms |
94176 KB |
Output is correct |
139 |
Correct |
44 ms |
94272 KB |
Output is correct |
140 |
Correct |
43 ms |
94192 KB |
Output is correct |
141 |
Correct |
44 ms |
94212 KB |
Output is correct |
142 |
Correct |
44 ms |
94260 KB |
Output is correct |
143 |
Correct |
43 ms |
94252 KB |
Output is correct |
144 |
Correct |
55 ms |
94504 KB |
Output is correct |
145 |
Correct |
47 ms |
94408 KB |
Output is correct |