#include <iostream>
#include <cassert>
#include <iomanip>
#include <algorithm>
#include <string>
#include <bitset>
#include <vector>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>
#ifndef LOCAL
#include <bits/stdc++.h>
#define cerr if(false)cerr
#endif
using namespace std;
using ll = long long;
const int N = 2e6 + 66;
vector<pair<int,int>>G[N];
pair<int,int>p[N];
int d[N];
int ea[N], eb[N];
int cnt[N], mp[33][33];
int cycle;
vector<int>g[N];
int used[N];
void dfs(int v, int p = -1) {
used[v] = 1;
for (int to : g[v]) if (to != p) {
if (used[to] == 1) cycle = 1;
if (used[to] == 0) dfs(to, v);
}
used[v] = 2;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n >> m;
for (int i = 0 ; i < m ; ++ i) cin >> ea[i] >> eb[i];
for (int i = 0 ; i < m ; ++ i) ea[i]--, eb[i]--, mp[ea[i]][eb[i]] = mp[eb[i]][ea[i]] = 1, g[ea[i]].emplace_back(eb[i]), g[eb[i]].emplace_back(ea[i]);
for (int i = 1 ; i <= n ; ++ i) if (!used[i]) {
dfs(i);
}
if (cycle) {
cout << "NO";
return 0;
}
for (int mask = 1 ; mask < (1 << n) ; ++ mask) {
for (int i = 0 ; i < n ; ++ i) cnt[i] = 0;
int nms = 0;
for (int j = 0 ; j < m ; ++ j) {
int x = ea[j], y = eb[j];
if (mask >> y & 1) cnt[x]++, nms |= (1 << x);
if (mask >> x & 1) cnt[y]++, nms |= (1 << y);
}
for (int i = 0 ; i < n ; ++ i) if (mask >> i & 1) {
int gms = nms;
for (int j : g[i]) {
if (cnt[j] == 1) gms ^= (1 << j);
}
G[gms].emplace_back(mask, i + 1);
}
}
for (int i = 0 ; i < (1 << n) ; ++ i) d[i] = -1;
d[0] = 0;
queue<int>q;
q.push(0);
while (q.size()) {
int v = q.front(); q.pop();
for (auto [to, w] : G[v]) if (d[to] == -1) {
p[to] = {v, w};
d[to] = d[v] + 1;
q.push(to);
}
}
if (d[(1 << n) - 1] == -1) {
cout << "NO";
return 0;
}
cout << "YES\n";
cout << d[(1 << n) - 1] << "\n";
int x = (1 << n) - 1;
while (x) {
cout << p[x].second << " ";
x = p[x].first;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
94252 KB |
Output is correct |
2 |
Correct |
51 ms |
94252 KB |
Output is correct |
3 |
Correct |
44 ms |
94296 KB |
Output is correct |
4 |
Correct |
44 ms |
94384 KB |
Output is correct |
5 |
Correct |
44 ms |
94252 KB |
Output is correct |
6 |
Correct |
49 ms |
94292 KB |
Output is correct |
7 |
Correct |
46 ms |
94272 KB |
Output is correct |
8 |
Correct |
43 ms |
94308 KB |
Output is correct |
9 |
Correct |
44 ms |
94260 KB |
Output is correct |
10 |
Correct |
43 ms |
94224 KB |
Output is correct |
11 |
Correct |
50 ms |
94192 KB |
Output is correct |
12 |
Correct |
47 ms |
94260 KB |
Output is correct |
13 |
Correct |
44 ms |
94256 KB |
Output is correct |
14 |
Correct |
44 ms |
94212 KB |
Output is correct |
15 |
Correct |
43 ms |
94284 KB |
Output is correct |
16 |
Correct |
51 ms |
94392 KB |
Output is correct |
17 |
Correct |
43 ms |
94452 KB |
Output is correct |
18 |
Correct |
43 ms |
94368 KB |
Output is correct |
19 |
Correct |
46 ms |
94340 KB |
Output is correct |
20 |
Correct |
45 ms |
94412 KB |
Output is correct |
21 |
Correct |
45 ms |
94352 KB |
Output is correct |
22 |
Correct |
44 ms |
94456 KB |
Output is correct |
23 |
Correct |
44 ms |
94528 KB |
Output is correct |
24 |
Correct |
43 ms |
94512 KB |
Output is correct |
25 |
Correct |
45 ms |
94540 KB |
Output is correct |
26 |
Correct |
47 ms |
94644 KB |
Output is correct |
27 |
Correct |
48 ms |
95060 KB |
Output is correct |
28 |
Correct |
46 ms |
94920 KB |
Output is correct |
29 |
Correct |
46 ms |
95020 KB |
Output is correct |
30 |
Correct |
46 ms |
94932 KB |
Output is correct |
31 |
Correct |
48 ms |
95920 KB |
Output is correct |
32 |
Correct |
50 ms |
95816 KB |
Output is correct |
33 |
Correct |
50 ms |
95908 KB |
Output is correct |
34 |
Correct |
50 ms |
95788 KB |
Output is correct |
35 |
Correct |
54 ms |
97420 KB |
Output is correct |
36 |
Correct |
55 ms |
97612 KB |
Output is correct |
37 |
Correct |
53 ms |
97600 KB |
Output is correct |
38 |
Correct |
57 ms |
97480 KB |
Output is correct |
39 |
Correct |
67 ms |
101092 KB |
Output is correct |
40 |
Correct |
70 ms |
101116 KB |
Output is correct |
41 |
Correct |
62 ms |
100756 KB |
Output is correct |
42 |
Correct |
64 ms |
100840 KB |
Output is correct |
43 |
Correct |
86 ms |
107892 KB |
Output is correct |
44 |
Correct |
84 ms |
107884 KB |
Output is correct |
45 |
Correct |
88 ms |
107152 KB |
Output is correct |
46 |
Correct |
85 ms |
107984 KB |
Output is correct |
47 |
Correct |
122 ms |
121020 KB |
Output is correct |
48 |
Correct |
132 ms |
122380 KB |
Output is correct |
49 |
Correct |
123 ms |
121288 KB |
Output is correct |
50 |
Correct |
132 ms |
121952 KB |
Output is correct |
51 |
Correct |
222 ms |
150632 KB |
Output is correct |
52 |
Correct |
200 ms |
148412 KB |
Output is correct |
53 |
Correct |
228 ms |
149540 KB |
Output is correct |
54 |
Correct |
229 ms |
147284 KB |
Output is correct |
55 |
Correct |
399 ms |
207336 KB |
Output is correct |
56 |
Correct |
361 ms |
197224 KB |
Output is correct |
57 |
Correct |
499 ms |
214640 KB |
Output is correct |
58 |
Correct |
409 ms |
205536 KB |
Output is correct |
59 |
Correct |
44 ms |
94220 KB |
Output is correct |
60 |
Correct |
43 ms |
94220 KB |
Output is correct |
61 |
Correct |
44 ms |
94284 KB |
Output is correct |
62 |
Correct |
44 ms |
94160 KB |
Output is correct |
63 |
Correct |
49 ms |
94284 KB |
Output is correct |
64 |
Correct |
48 ms |
94160 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
44 ms |
94272 KB |
Output is correct |
2 |
Correct |
43 ms |
94168 KB |
Output is correct |
3 |
Correct |
43 ms |
94196 KB |
Output is correct |
4 |
Correct |
47 ms |
94292 KB |
Output is correct |
5 |
Correct |
48 ms |
94188 KB |
Output is correct |
6 |
Correct |
56 ms |
94324 KB |
Output is correct |
7 |
Correct |
46 ms |
94288 KB |
Output is correct |
8 |
Correct |
44 ms |
94188 KB |
Output is correct |
9 |
Correct |
45 ms |
94204 KB |
Output is correct |
10 |
Correct |
45 ms |
94372 KB |
Output is correct |
11 |
Runtime error |
113 ms |
191360 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
94252 KB |
Output is correct |
2 |
Correct |
51 ms |
94252 KB |
Output is correct |
3 |
Correct |
44 ms |
94296 KB |
Output is correct |
4 |
Correct |
44 ms |
94384 KB |
Output is correct |
5 |
Correct |
44 ms |
94252 KB |
Output is correct |
6 |
Correct |
49 ms |
94292 KB |
Output is correct |
7 |
Correct |
46 ms |
94272 KB |
Output is correct |
8 |
Correct |
43 ms |
94308 KB |
Output is correct |
9 |
Correct |
44 ms |
94260 KB |
Output is correct |
10 |
Correct |
43 ms |
94224 KB |
Output is correct |
11 |
Correct |
50 ms |
94192 KB |
Output is correct |
12 |
Correct |
47 ms |
94260 KB |
Output is correct |
13 |
Correct |
44 ms |
94256 KB |
Output is correct |
14 |
Correct |
44 ms |
94212 KB |
Output is correct |
15 |
Correct |
43 ms |
94284 KB |
Output is correct |
16 |
Correct |
51 ms |
94392 KB |
Output is correct |
17 |
Correct |
43 ms |
94452 KB |
Output is correct |
18 |
Correct |
43 ms |
94368 KB |
Output is correct |
19 |
Correct |
46 ms |
94340 KB |
Output is correct |
20 |
Correct |
45 ms |
94412 KB |
Output is correct |
21 |
Correct |
45 ms |
94352 KB |
Output is correct |
22 |
Correct |
44 ms |
94456 KB |
Output is correct |
23 |
Correct |
44 ms |
94528 KB |
Output is correct |
24 |
Correct |
43 ms |
94512 KB |
Output is correct |
25 |
Correct |
45 ms |
94540 KB |
Output is correct |
26 |
Correct |
47 ms |
94644 KB |
Output is correct |
27 |
Correct |
48 ms |
95060 KB |
Output is correct |
28 |
Correct |
46 ms |
94920 KB |
Output is correct |
29 |
Correct |
46 ms |
95020 KB |
Output is correct |
30 |
Correct |
46 ms |
94932 KB |
Output is correct |
31 |
Correct |
48 ms |
95920 KB |
Output is correct |
32 |
Correct |
50 ms |
95816 KB |
Output is correct |
33 |
Correct |
50 ms |
95908 KB |
Output is correct |
34 |
Correct |
50 ms |
95788 KB |
Output is correct |
35 |
Correct |
54 ms |
97420 KB |
Output is correct |
36 |
Correct |
55 ms |
97612 KB |
Output is correct |
37 |
Correct |
53 ms |
97600 KB |
Output is correct |
38 |
Correct |
57 ms |
97480 KB |
Output is correct |
39 |
Correct |
67 ms |
101092 KB |
Output is correct |
40 |
Correct |
70 ms |
101116 KB |
Output is correct |
41 |
Correct |
62 ms |
100756 KB |
Output is correct |
42 |
Correct |
64 ms |
100840 KB |
Output is correct |
43 |
Correct |
86 ms |
107892 KB |
Output is correct |
44 |
Correct |
84 ms |
107884 KB |
Output is correct |
45 |
Correct |
88 ms |
107152 KB |
Output is correct |
46 |
Correct |
85 ms |
107984 KB |
Output is correct |
47 |
Correct |
122 ms |
121020 KB |
Output is correct |
48 |
Correct |
132 ms |
122380 KB |
Output is correct |
49 |
Correct |
123 ms |
121288 KB |
Output is correct |
50 |
Correct |
132 ms |
121952 KB |
Output is correct |
51 |
Correct |
222 ms |
150632 KB |
Output is correct |
52 |
Correct |
200 ms |
148412 KB |
Output is correct |
53 |
Correct |
228 ms |
149540 KB |
Output is correct |
54 |
Correct |
229 ms |
147284 KB |
Output is correct |
55 |
Correct |
399 ms |
207336 KB |
Output is correct |
56 |
Correct |
361 ms |
197224 KB |
Output is correct |
57 |
Correct |
499 ms |
214640 KB |
Output is correct |
58 |
Correct |
409 ms |
205536 KB |
Output is correct |
59 |
Correct |
44 ms |
94220 KB |
Output is correct |
60 |
Correct |
43 ms |
94220 KB |
Output is correct |
61 |
Correct |
44 ms |
94284 KB |
Output is correct |
62 |
Correct |
44 ms |
94160 KB |
Output is correct |
63 |
Correct |
49 ms |
94284 KB |
Output is correct |
64 |
Correct |
48 ms |
94160 KB |
Output is correct |
65 |
Correct |
48 ms |
94400 KB |
Output is correct |
66 |
Correct |
46 ms |
94252 KB |
Output is correct |
67 |
Correct |
43 ms |
94280 KB |
Output is correct |
68 |
Correct |
43 ms |
94272 KB |
Output is correct |
69 |
Correct |
43 ms |
94292 KB |
Output is correct |
70 |
Correct |
43 ms |
94232 KB |
Output is correct |
71 |
Correct |
43 ms |
94172 KB |
Output is correct |
72 |
Correct |
44 ms |
94216 KB |
Output is correct |
73 |
Correct |
50 ms |
94288 KB |
Output is correct |
74 |
Correct |
45 ms |
94328 KB |
Output is correct |
75 |
Correct |
43 ms |
94260 KB |
Output is correct |
76 |
Correct |
45 ms |
94272 KB |
Output is correct |
77 |
Correct |
44 ms |
94256 KB |
Output is correct |
78 |
Correct |
43 ms |
94284 KB |
Output is correct |
79 |
Runtime error |
113 ms |
191188 KB |
Execution killed with signal 11 |
80 |
Halted |
0 ms |
0 KB |
- |