#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
int N, M;
vector<int> adj[110];
vector<int> g[110];
int vis[110];
void make_tree(int x) {
vis[x] = 1;
for (auto &y : adj[x]) {
if (vis[y]) continue;
g[x].push_back(y);
make_tree(y);
}
}
vector<vector<int>> ans;
void travel(int x) {
vector<int> qry(N);
for (auto &y : g[x]) {
iota(qry.begin(), qry.end(), 1);
qry[x] = 0;
qry[y] = 0;
ans.push_back(qry);
travel(y);
ans.push_back(qry);
}
}
int chk[110][110];
void complete() {
int flag = 0;
int n = N;
if (N % 2 == 1) {
make_tree(N-1);
travel(N-1);
flag = 1;
n = N - 1;
}
while (true) {
vector<int> C(n, 0);
vector<pair<int,int>> v;
for (int i=0; i<n; i++) {
if (C[i]) continue;
int pr = -1;
for (int j=0; j<n; j++) {
if (i == j) continue;
if (!C[j] && !chk[i][j]) {
pr = j;
break;
}
}
if (pr != -1) {
v.push_back({i, pr});
C[i] = 1;
C[pr] = 1;
chk[i][pr] = chk[pr][i] = 1;
}
}
if (v.empty()) break;
int p = -1;
for (int i=0; i<n; i++) {
if (!C[i]) {
if (p != -1) {
v.push_back({i, p});
p = -1;
}
else p = i;
}
}
vector<int> qry(N);
for (int i=0; i<n/2; i++) {
qry[v[i].first] = i;
qry[v[i].second] = i;
}
if (flag) qry.back() = n/2;
ans.push_back(qry);
ans.push_back(qry);
}
}
vector<int> vtx;
vector<int> qry;
void init() {
iota(qry.begin(), qry.end(), 0);
}
void grp(vector<int> v) {
for (int i=1; i<v.size(); i++) {
qry[v[i]] = v[0];
}
}
void Push() {
ans.push_back(qry);
}
void construct(int a, int b, int c, int x) {
vtx.push_back(x);
if (vtx.size() % 2 == 0) {
init();
for (int i=0; i<vtx.size(); i+=2) {
grp({vtx[i], vtx[i+1]});
}
Push();
}
else {
init();
grp({a, b, c});
for (int i=3; i<vtx.size(); i+=2) {
grp({vtx[i], vtx[i+1]});
}
Push();
}
for (auto &y : g[x]) {
construct(a, b, c, y);
if (vtx.size() % 2 == 0) {
init();
for (int i=0; i<vtx.size(); i+=2) {
grp({vtx[i], vtx[i+1]});
}
Push();
}
else {
init();
grp({a, b, c});
for (int i=3; i<vtx.size(); i+=2) {
grp({vtx[i], vtx[i+1]});
}
Push();
}
}
vtx.pop_back();
}
int exi[110][110];
int main() {
ios_base :: sync_with_stdio(false); cin.tie(NULL);
cin >> N >> M;
for (int i=0; i<M; i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
exi[u][v] = exi[v][u] = 1;
}
if (M == N * (N-1) / 2) {
complete();
cout << ans.size() << '\n';
for (int i=0; i<ans.size(); i++) {
for (int j=0; j<N; j++) {
cout << ans[i][j] << ' ';
}
cout << '\n';
}
return 0;
}
int a = -1, b, c;
bool flag = false;
for (int i=0; i<N; i++) {
for (auto &j : adj[i]) {
for (auto &k : adj[i]) {
if (j != k && !exi[j][k]) {
a = j;
b = i;
c = k;
flag = true;
break;
}
}
if (flag) break;
}
if (flag) break;
}
assert(flag);
vis[a] = vis[b] = vis[c] = 1;
g[b].push_back(a);
g[b].push_back(c);
make_tree(c);
make_tree(a);
make_tree(b);
int cnt = 0;
for (int i=0; i<N; i++) {
cnt += g[i].size();
}
assert(cnt == N-1);
travel(b);
qry.resize(N);
vtx = {a, b};
construct(a, b, c, c);
init();
grp({b, c});
Push();
vtx = {c, b};
construct(c, b, a, a);
for (auto &y : g[b]) {
if (y == c || y == a) continue;
assert(!chk[y][c] && !chk[y][a]);
init();
grp({b, c});
Push();
vtx = {c, b};
construct(c, b, y, y);
}
cout << ans.size() << '\n';
for (int i=0; i<ans.size(); i++) {
for (int j=0; j<N; j++) {
cout << ans[i][j] << ' ';
}
cout << '\n';
}
}
Compilation message
Main.cpp: In function 'void grp(std::vector<int>)':
Main.cpp:97:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
97 | for (int i=1; i<v.size(); i++) {
| ~^~~~~~~~~
Main.cpp: In function 'void construct(int, int, int, int)':
Main.cpp:110:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
110 | for (int i=0; i<vtx.size(); i+=2) {
| ~^~~~~~~~~~~
Main.cpp:118:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
118 | for (int i=3; i<vtx.size(); i+=2) {
| ~^~~~~~~~~~~
Main.cpp:127:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
127 | for (int i=0; i<vtx.size(); i+=2) {
| ~^~~~~~~~~~~
Main.cpp:135:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
135 | for (int i=3; i<vtx.size(); i+=2) {
| ~^~~~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:159:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
159 | for (int i=0; i<ans.size(); i++) {
| ~^~~~~~~~~~~
Main.cpp:215:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
215 | for (int i=0; i<ans.size(); i++) {
| ~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
2 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
604 KB |
Output is correct |
11 |
Correct |
2 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
2 ms |
856 KB |
Output is correct |
17 |
Correct |
3 ms |
604 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
604 KB |
Output is correct |
22 |
Correct |
2 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
600 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
2 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
2 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
604 KB |
Output is correct |
31 |
Correct |
2 ms |
604 KB |
Output is correct |
32 |
Correct |
2 ms |
604 KB |
Output is correct |
33 |
Correct |
2 ms |
600 KB |
Output is correct |
34 |
Correct |
2 ms |
604 KB |
Output is correct |
35 |
Correct |
2 ms |
604 KB |
Output is correct |
36 |
Correct |
2 ms |
604 KB |
Output is correct |
37 |
Correct |
2 ms |
604 KB |
Output is correct |
38 |
Correct |
2 ms |
604 KB |
Output is correct |
39 |
Correct |
2 ms |
604 KB |
Output is correct |
40 |
Correct |
2 ms |
604 KB |
Output is correct |
41 |
Correct |
2 ms |
604 KB |
Output is correct |
42 |
Correct |
2 ms |
604 KB |
Output is correct |
43 |
Correct |
2 ms |
604 KB |
Output is correct |
44 |
Correct |
2 ms |
604 KB |
Output is correct |
45 |
Correct |
2 ms |
604 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
348 KB |
Output is correct |
65 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
604 KB |
Output is correct |
20 |
Correct |
2 ms |
604 KB |
Output is correct |
21 |
Correct |
1 ms |
600 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
856 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
2 ms |
604 KB |
Output is correct |
31 |
Correct |
2 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
604 KB |
Output is correct |
37 |
Correct |
3 ms |
604 KB |
Output is correct |
38 |
Correct |
2 ms |
604 KB |
Output is correct |
39 |
Correct |
2 ms |
604 KB |
Output is correct |
40 |
Correct |
2 ms |
604 KB |
Output is correct |
41 |
Correct |
2 ms |
604 KB |
Output is correct |
42 |
Correct |
2 ms |
600 KB |
Output is correct |
43 |
Correct |
2 ms |
604 KB |
Output is correct |
44 |
Correct |
2 ms |
604 KB |
Output is correct |
45 |
Correct |
2 ms |
604 KB |
Output is correct |
46 |
Correct |
2 ms |
604 KB |
Output is correct |
47 |
Correct |
2 ms |
604 KB |
Output is correct |
48 |
Correct |
2 ms |
604 KB |
Output is correct |
49 |
Correct |
2 ms |
604 KB |
Output is correct |
50 |
Correct |
2 ms |
604 KB |
Output is correct |
51 |
Correct |
2 ms |
604 KB |
Output is correct |
52 |
Correct |
2 ms |
604 KB |
Output is correct |
53 |
Correct |
2 ms |
604 KB |
Output is correct |
54 |
Correct |
2 ms |
604 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
0 ms |
348 KB |
Output is correct |
64 |
Correct |
0 ms |
348 KB |
Output is correct |
65 |
Correct |
0 ms |
348 KB |
Output is correct |
66 |
Correct |
0 ms |
348 KB |
Output is correct |
67 |
Correct |
0 ms |
348 KB |
Output is correct |
68 |
Correct |
0 ms |
348 KB |
Output is correct |
69 |
Correct |
0 ms |
348 KB |
Output is correct |
70 |
Correct |
0 ms |
348 KB |
Output is correct |
71 |
Correct |
0 ms |
348 KB |
Output is correct |
72 |
Correct |
0 ms |
348 KB |
Output is correct |
73 |
Correct |
0 ms |
348 KB |
Output is correct |
74 |
Correct |
1 ms |
344 KB |
Output is correct |
75 |
Correct |
0 ms |
348 KB |
Output is correct |
76 |
Correct |
0 ms |
348 KB |
Output is correct |
77 |
Correct |
0 ms |
348 KB |
Output is correct |
78 |
Correct |
2 ms |
604 KB |
Output is correct |
79 |
Correct |
2 ms |
600 KB |
Output is correct |
80 |
Correct |
0 ms |
348 KB |
Output is correct |
81 |
Correct |
0 ms |
348 KB |
Output is correct |
82 |
Correct |
0 ms |
348 KB |
Output is correct |
83 |
Correct |
0 ms |
348 KB |
Output is correct |
84 |
Correct |
0 ms |
348 KB |
Output is correct |
85 |
Correct |
0 ms |
348 KB |
Output is correct |
86 |
Correct |
1 ms |
348 KB |
Output is correct |
87 |
Correct |
2 ms |
644 KB |
Output is correct |
88 |
Correct |
0 ms |
348 KB |
Output is correct |
89 |
Correct |
0 ms |
348 KB |
Output is correct |
90 |
Correct |
1 ms |
348 KB |
Output is correct |
91 |
Correct |
2 ms |
604 KB |
Output is correct |
92 |
Correct |
3 ms |
604 KB |
Output is correct |
93 |
Correct |
1 ms |
604 KB |
Output is correct |
94 |
Correct |
0 ms |
348 KB |
Output is correct |
95 |
Correct |
0 ms |
348 KB |
Output is correct |
96 |
Correct |
1 ms |
348 KB |
Output is correct |
97 |
Correct |
2 ms |
604 KB |
Output is correct |
98 |
Correct |
2 ms |
604 KB |
Output is correct |
99 |
Correct |
2 ms |
604 KB |
Output is correct |
100 |
Correct |
2 ms |
604 KB |
Output is correct |
101 |
Correct |
2 ms |
604 KB |
Output is correct |
102 |
Correct |
2 ms |
724 KB |
Output is correct |
103 |
Correct |
2 ms |
604 KB |
Output is correct |
104 |
Correct |
2 ms |
604 KB |
Output is correct |
105 |
Correct |
2 ms |
604 KB |
Output is correct |
106 |
Correct |
2 ms |
568 KB |
Output is correct |
107 |
Correct |
3 ms |
600 KB |
Output is correct |
108 |
Correct |
2 ms |
604 KB |
Output is correct |
109 |
Correct |
3 ms |
604 KB |
Output is correct |
110 |
Correct |
2 ms |
604 KB |
Output is correct |
111 |
Correct |
2 ms |
600 KB |
Output is correct |
112 |
Correct |
2 ms |
604 KB |
Output is correct |
113 |
Correct |
2 ms |
604 KB |
Output is correct |
114 |
Correct |
2 ms |
604 KB |
Output is correct |
115 |
Correct |
2 ms |
600 KB |
Output is correct |
116 |
Correct |
0 ms |
348 KB |
Output is correct |
117 |
Correct |
0 ms |
348 KB |
Output is correct |
118 |
Correct |
0 ms |
600 KB |
Output is correct |
119 |
Correct |
0 ms |
348 KB |
Output is correct |
120 |
Correct |
0 ms |
348 KB |
Output is correct |
121 |
Correct |
0 ms |
348 KB |
Output is correct |
122 |
Correct |
0 ms |
348 KB |
Output is correct |
123 |
Correct |
0 ms |
348 KB |
Output is correct |
124 |
Correct |
0 ms |
408 KB |
Output is correct |
125 |
Correct |
0 ms |
348 KB |
Output is correct |
126 |
Correct |
0 ms |
348 KB |
Output is correct |
127 |
Correct |
1 ms |
348 KB |
Output is correct |
128 |
Correct |
0 ms |
348 KB |
Output is correct |
129 |
Correct |
0 ms |
348 KB |
Output is correct |
130 |
Correct |
0 ms |
348 KB |
Output is correct |
131 |
Correct |
1 ms |
348 KB |
Output is correct |
132 |
Correct |
1 ms |
348 KB |
Output is correct |
133 |
Correct |
0 ms |
348 KB |
Output is correct |
134 |
Correct |
0 ms |
348 KB |
Output is correct |
135 |
Correct |
0 ms |
348 KB |
Output is correct |
136 |
Correct |
1 ms |
348 KB |
Output is correct |
137 |
Correct |
0 ms |
348 KB |
Output is correct |
138 |
Correct |
0 ms |
348 KB |
Output is correct |
139 |
Correct |
1 ms |
348 KB |
Output is correct |
140 |
Correct |
2 ms |
604 KB |
Output is correct |
141 |
Correct |
0 ms |
348 KB |
Output is correct |
142 |
Correct |
2 ms |
860 KB |
Output is correct |
143 |
Correct |
3 ms |
856 KB |
Output is correct |
144 |
Correct |
2 ms |
836 KB |
Output is correct |
145 |
Correct |
2 ms |
860 KB |
Output is correct |
146 |
Correct |
3 ms |
604 KB |
Output is correct |
147 |
Correct |
2 ms |
604 KB |
Output is correct |
148 |
Correct |
2 ms |
860 KB |
Output is correct |
149 |
Correct |
2 ms |
604 KB |
Output is correct |
150 |
Correct |
2 ms |
604 KB |
Output is correct |
151 |
Correct |
3 ms |
604 KB |
Output is correct |
152 |
Correct |
4 ms |
812 KB |
Output is correct |
153 |
Correct |
3 ms |
604 KB |
Output is correct |
154 |
Correct |
2 ms |
740 KB |
Output is correct |
155 |
Correct |
2 ms |
792 KB |
Output is correct |
156 |
Correct |
2 ms |
604 KB |
Output is correct |
157 |
Correct |
2 ms |
604 KB |
Output is correct |
158 |
Correct |
2 ms |
604 KB |
Output is correct |
159 |
Correct |
4 ms |
604 KB |
Output is correct |
160 |
Correct |
2 ms |
604 KB |
Output is correct |
161 |
Correct |
2 ms |
604 KB |
Output is correct |
162 |
Correct |
0 ms |
348 KB |
Output is correct |
163 |
Correct |
0 ms |
348 KB |
Output is correct |
164 |
Correct |
0 ms |
348 KB |
Output is correct |
165 |
Correct |
1 ms |
344 KB |
Output is correct |