#include <bits/stdc++.h>
#define X first
#define Y second
using namespace std;
int n, m, a, b, e, kol, kolg, jed, sol;
vector<int> v[200005];
int g[200005];
int bio[200005];
vector<int> pr;
int gdje[200005][5];
vector<int> smj[200005];
int ideu[200005];
set< pair<int, pair<int, int> > > s;
set< pair<int, pair<int, int> > > :: iterator it;
pair<int, int> pos[200005];
vector< pair<int, int> > out;
vector< pair<int, int> > tren;
int sam[200005];
int znak[200005];
int dalje[200005];
int dist[200005];
queue<int> q;
vector< pair< int, pair<int, int> > > svi;
vector<int> pravi[200005];
set< pair< pair<int, int>, pair<int, int> > > tocke;
void dfs(int x) {
if (v[x].size() == 1) jed = 1;
bio[x] = 1;
kol++;
if (g[x] == 2) {
kolg++;
s.insert({0, {1, x}});
}
else {
s.insert({ideu[x], {0, x}});
}
for (int i = 0; i < v[x].size(); i++) {
if (bio[v[x][i]] == 0) dfs(v[x][i]);
}
}
void rek(int x) {
bio[x] = 1;
if (gdje[pos[x].X][0] == x && gdje[pos[x].Y][0] == x) tren.push_back({x, 1});
else if (gdje[pos[x].X][1] == x && gdje[pos[x].Y][1] == x) tren.push_back({x, -1});
else tren.push_back({x, 0});
for (int i = 0; i < v[x].size(); i++) {
if (bio[v[x][i]] == 0) rek(v[x][i]);
}
}
void bfs() {
while (!q.empty()) {
int cvor = q.front();
q.pop();
for (int i = 0; i < v[cvor].size(); i++) {
if (dist[v[cvor][i]] == -1) {
dist[v[cvor][i]] = dist[cvor]+1;
q.push(v[cvor][i]);
}
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
memset(dist, -1, sizeof dist);
cin >> n >> m;
for (int i = 1; i <= n; i++) pos[i] = {-1, -1};
for (int i = 0; i < m; i++) {
cin >> a >> b;
gdje[i][0] = a;
gdje[i][1] = b;
if (pos[a].X == -1) pos[a].X = i;
else pos[a].Y = i;
if (pos[b].X == -1) pos[b].X = i;
else pos[b].Y = i;
if (a == 0 && b == 0) {
e++;
pr.push_back(i);
}
else if (a != b && a > 0 && b > 0) {
smj[a].push_back(b);
ideu[a]++;
v[a].push_back(b);
v[b].push_back(a);
g[b]++;
pravi[b].push_back(a);
}
else if (b == 0) {
if (sam[a] == 0) sam[a] = i+1;
else {
sol++;
e++;
out.push_back({i, sam[a]-1});
pr.push_back(i);
}
}
}
for (int i = 1; i <= n; i++) {
if (bio[i] == 0 && (int)v[i].size() > 0) {
kol = 0, kolg = 0, jed = 0;
s.clear();
dfs(i);
svi.push_back({1-jed, {kolg, i}});
sol += kol+max(1, kolg);
}
}
sort(svi.begin(), svi.end());
memset(bio, 0, sizeof bio);
for (int i = 0; i < svi.size(); i++) {
if (svi[i].X == 0) {
if (svi[i].Y.X > 0 && e < 1) {
cout << -1;
return 0;
}
if (svi[i].Y.X == 0) sol--;
e++;
}
else {
if ((svi[i].Y.X > 1 && e < 2) || e < 1) {
cout << -1;
return 0;
}
}
tren.clear();
rek(svi[i].Y.Y);
int raz = 0;
for (int j = 0; j < tren.size(); j++) {
if (tren[j].Y != 0) raz++;
}
if (raz == 0 && svi[i].X == 1) {
int wh = pos[svi[i].Y.Y].X;
if (gdje[wh][0] != svi[i].Y.Y) wh = pos[svi[i].Y.Y].Y;
out.push_back({wh, pr.back()});
pravi[ smj[svi[i].Y.Y][0] ].clear();
if (pos[ smj[svi[i].Y.Y][0] ].X == wh) pos[ smj[svi[i].Y.Y][0] ].X = pr.back();
else pos[ smj[svi[i].Y.Y][0] ].Y = pr.back();
smj[svi[i].Y.Y].clear();
}
for (int j = 0; j < tren.size(); j++) {
if ((int)smj[tren[j].X].size() == 0 && tren[j].Y == 0) {
q.push(tren[j].X);
dist[tren[j].X] = 0;
break;
}
}
if (q.size() == 0) {
for (int j = 0; j < tren.size(); j++) {
if ((int)smj[tren[j].X].size() == 1 && tren[j].Y == 1) {
q.push(tren[j].X);
dist[tren[j].X] = 0;
break;
}
}
}
if (q.size() == 0) {
q.push(tren[0].X);
dist[tren[0].X] = 0;
}
bfs();
tocke.clear();
for (int j = 0; j < tren.size(); j++) {
//cout << tren[j].X << " " << (int)smj[tren[j].X].size() << " " << 1-tren[j].Y << endl;
znak[tren[j].X] = 1-tren[j].Y;
dalje[tren[j].X] = (int)smj[tren[j].X].size();
tocke.insert({{(int)smj[tren[j].X].size(), 1-tren[j].Y}, {dist[tren[j].X], tren[j].X}});
}
for (int abc = 0; abc < tren.size(); abc++) {
int novi = -1, w = 0;
pair< pair<int, int>, pair<int, int> > broj = *tocke.begin();
tocke.erase(tocke.begin());
novi = broj.Y.Y;
w = 1 - broj.X.Y;
//cout << "reshi " << novi << " " << w << " " << pr.size() << endl;
for (int j = 0; j < pravi[novi].size(); j++) {
int susjed = pravi[novi][j];
if (tocke.find({{dalje[susjed], znak[susjed]}, {dist[susjed], susjed}}) != tocke.end()) {
tocke.erase({{dalje[susjed], znak[susjed]}, {dist[susjed], susjed}});
dalje[susjed]--;
tocke.insert({{dalje[susjed], znak[susjed]}, {dist[susjed], susjed}});
}
}
if (w == -1) {
out.push_back({pos[novi].X, pr.back()});
out.push_back({pos[novi].Y, pr.back()});
pr.pop_back();
}
else if (w == 1) {
out.push_back({pos[novi].X, pos[novi].Y});
pr.push_back(pos[novi].X);
}
else {
if (gdje[ pos[novi].X ][0] == novi) out.push_back({pos[novi].Y, pos[novi].X});
else out.push_back({pos[novi].X, pos[novi].Y});
}
}
}
cout << sol << "\n";
for (int i = 0; i < out.size(); i++) cout << out[i].X+1 << " " << out[i].Y+1 << "\n";
return 0;
}
Compilation message
Main.cpp: In function 'void dfs(int)':
Main.cpp:42:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
42 | for (int i = 0; i < v[x].size(); i++) {
| ~~^~~~~~~~~~~~~
Main.cpp: In function 'void rek(int)':
Main.cpp:53:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for (int i = 0; i < v[x].size(); i++) {
| ~~^~~~~~~~~~~~~
Main.cpp: In function 'void bfs()':
Main.cpp:64:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
64 | for (int i = 0; i < v[cvor].size(); i++) {
| ~~^~~~~~~~~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:130:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
130 | for (int i = 0; i < svi.size(); i++) {
| ~~^~~~~~~~~~~~
Main.cpp:150:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
150 | for (int j = 0; j < tren.size(); j++) {
| ~~^~~~~~~~~~~~~
Main.cpp:165:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
165 | for (int j = 0; j < tren.size(); j++) {
| ~~^~~~~~~~~~~~~
Main.cpp:174:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
174 | for (int j = 0; j < tren.size(); j++) {
| ~~^~~~~~~~~~~~~
Main.cpp:191:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
191 | for (int j = 0; j < tren.size(); j++) {
| ~~^~~~~~~~~~~~~
Main.cpp:198:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
198 | for (int abc = 0; abc < tren.size(); abc++) {
| ~~~~^~~~~~~~~~~~~
Main.cpp:208:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
208 | for (int j = 0; j < pravi[novi].size(); j++) {
| ~~^~~~~~~~~~~~~~~~~~~~
Main.cpp:234:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
234 | for (int i = 0; i < out.size(); i++) cout << out[i].X+1 << " " << out[i].Y+1 << "\n";
| ~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
11 ms |
16124 KB |
Output is correct |
4 |
Correct |
9 ms |
15956 KB |
Output is correct |
5 |
Correct |
9 ms |
15956 KB |
Output is correct |
6 |
Correct |
8 ms |
15956 KB |
Output is correct |
7 |
Correct |
8 ms |
15956 KB |
Output is correct |
8 |
Correct |
8 ms |
15956 KB |
Output is correct |
9 |
Correct |
9 ms |
15956 KB |
Output is correct |
10 |
Correct |
9 ms |
15956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
109 ms |
28300 KB |
Output is correct |
2 |
Correct |
152 ms |
30772 KB |
Output is correct |
3 |
Correct |
89 ms |
25732 KB |
Output is correct |
4 |
Correct |
63 ms |
25152 KB |
Output is correct |
5 |
Correct |
126 ms |
30476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
16084 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
8 ms |
16084 KB |
Output is correct |
4 |
Correct |
9 ms |
16212 KB |
Output is correct |
5 |
Correct |
10 ms |
16040 KB |
Output is correct |
6 |
Correct |
9 ms |
16020 KB |
Output is correct |
7 |
Correct |
9 ms |
16084 KB |
Output is correct |
8 |
Correct |
9 ms |
16084 KB |
Output is correct |
9 |
Correct |
10 ms |
16116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
16084 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
8 ms |
16084 KB |
Output is correct |
4 |
Correct |
9 ms |
16212 KB |
Output is correct |
5 |
Correct |
10 ms |
16040 KB |
Output is correct |
6 |
Correct |
9 ms |
16020 KB |
Output is correct |
7 |
Correct |
9 ms |
16084 KB |
Output is correct |
8 |
Correct |
9 ms |
16084 KB |
Output is correct |
9 |
Correct |
10 ms |
16116 KB |
Output is correct |
10 |
Correct |
430 ms |
45360 KB |
Output is correct |
11 |
Correct |
53 ms |
21564 KB |
Output is correct |
12 |
Correct |
300 ms |
41432 KB |
Output is correct |
13 |
Correct |
493 ms |
47152 KB |
Output is correct |
14 |
Correct |
270 ms |
38932 KB |
Output is correct |
15 |
Correct |
304 ms |
38480 KB |
Output is correct |
16 |
Correct |
546 ms |
45864 KB |
Output is correct |
17 |
Correct |
390 ms |
42216 KB |
Output is correct |
18 |
Correct |
554 ms |
46672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
16084 KB |
Output is correct |
2 |
Correct |
9 ms |
16140 KB |
Output is correct |
3 |
Correct |
10 ms |
16132 KB |
Output is correct |
4 |
Correct |
11 ms |
16084 KB |
Output is correct |
5 |
Correct |
11 ms |
15988 KB |
Output is correct |
6 |
Correct |
9 ms |
16128 KB |
Output is correct |
7 |
Correct |
11 ms |
16060 KB |
Output is correct |
8 |
Correct |
10 ms |
16132 KB |
Output is correct |
9 |
Correct |
10 ms |
16084 KB |
Output is correct |
10 |
Correct |
8 ms |
16084 KB |
Output is correct |
11 |
Correct |
9 ms |
16084 KB |
Output is correct |
12 |
Correct |
9 ms |
16084 KB |
Output is correct |
13 |
Correct |
9 ms |
16048 KB |
Output is correct |
14 |
Correct |
9 ms |
16084 KB |
Output is correct |
15 |
Correct |
9 ms |
16144 KB |
Output is correct |
16 |
Correct |
12 ms |
16084 KB |
Output is correct |
17 |
Correct |
8 ms |
16084 KB |
Output is correct |
18 |
Correct |
10 ms |
16084 KB |
Output is correct |
19 |
Correct |
11 ms |
16084 KB |
Output is correct |
20 |
Correct |
10 ms |
16084 KB |
Output is correct |
21 |
Correct |
8 ms |
16084 KB |
Output is correct |
22 |
Correct |
10 ms |
16084 KB |
Output is correct |
23 |
Correct |
11 ms |
16084 KB |
Output is correct |
24 |
Correct |
12 ms |
16164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
11 ms |
16124 KB |
Output is correct |
4 |
Correct |
9 ms |
15956 KB |
Output is correct |
5 |
Correct |
9 ms |
15956 KB |
Output is correct |
6 |
Correct |
8 ms |
15956 KB |
Output is correct |
7 |
Correct |
8 ms |
15956 KB |
Output is correct |
8 |
Correct |
8 ms |
15956 KB |
Output is correct |
9 |
Correct |
9 ms |
15956 KB |
Output is correct |
10 |
Correct |
9 ms |
15956 KB |
Output is correct |
11 |
Correct |
109 ms |
28300 KB |
Output is correct |
12 |
Correct |
152 ms |
30772 KB |
Output is correct |
13 |
Correct |
89 ms |
25732 KB |
Output is correct |
14 |
Correct |
63 ms |
25152 KB |
Output is correct |
15 |
Correct |
126 ms |
30476 KB |
Output is correct |
16 |
Correct |
10 ms |
16084 KB |
Output is correct |
17 |
Correct |
9 ms |
15956 KB |
Output is correct |
18 |
Correct |
8 ms |
16084 KB |
Output is correct |
19 |
Correct |
9 ms |
16212 KB |
Output is correct |
20 |
Correct |
10 ms |
16040 KB |
Output is correct |
21 |
Correct |
9 ms |
16020 KB |
Output is correct |
22 |
Correct |
9 ms |
16084 KB |
Output is correct |
23 |
Correct |
9 ms |
16084 KB |
Output is correct |
24 |
Correct |
10 ms |
16116 KB |
Output is correct |
25 |
Correct |
430 ms |
45360 KB |
Output is correct |
26 |
Correct |
53 ms |
21564 KB |
Output is correct |
27 |
Correct |
300 ms |
41432 KB |
Output is correct |
28 |
Correct |
493 ms |
47152 KB |
Output is correct |
29 |
Correct |
270 ms |
38932 KB |
Output is correct |
30 |
Correct |
304 ms |
38480 KB |
Output is correct |
31 |
Correct |
546 ms |
45864 KB |
Output is correct |
32 |
Correct |
390 ms |
42216 KB |
Output is correct |
33 |
Correct |
554 ms |
46672 KB |
Output is correct |
34 |
Correct |
9 ms |
16084 KB |
Output is correct |
35 |
Correct |
9 ms |
16140 KB |
Output is correct |
36 |
Correct |
10 ms |
16132 KB |
Output is correct |
37 |
Correct |
11 ms |
16084 KB |
Output is correct |
38 |
Correct |
11 ms |
15988 KB |
Output is correct |
39 |
Correct |
9 ms |
16128 KB |
Output is correct |
40 |
Correct |
11 ms |
16060 KB |
Output is correct |
41 |
Correct |
10 ms |
16132 KB |
Output is correct |
42 |
Correct |
10 ms |
16084 KB |
Output is correct |
43 |
Correct |
8 ms |
16084 KB |
Output is correct |
44 |
Correct |
9 ms |
16084 KB |
Output is correct |
45 |
Correct |
9 ms |
16084 KB |
Output is correct |
46 |
Correct |
9 ms |
16048 KB |
Output is correct |
47 |
Correct |
9 ms |
16084 KB |
Output is correct |
48 |
Correct |
9 ms |
16144 KB |
Output is correct |
49 |
Correct |
12 ms |
16084 KB |
Output is correct |
50 |
Correct |
8 ms |
16084 KB |
Output is correct |
51 |
Correct |
10 ms |
16084 KB |
Output is correct |
52 |
Correct |
11 ms |
16084 KB |
Output is correct |
53 |
Correct |
10 ms |
16084 KB |
Output is correct |
54 |
Correct |
8 ms |
16084 KB |
Output is correct |
55 |
Correct |
10 ms |
16084 KB |
Output is correct |
56 |
Correct |
11 ms |
16084 KB |
Output is correct |
57 |
Correct |
12 ms |
16164 KB |
Output is correct |
58 |
Correct |
421 ms |
42728 KB |
Output is correct |
59 |
Correct |
541 ms |
46300 KB |
Output is correct |
60 |
Correct |
356 ms |
39692 KB |
Output is correct |
61 |
Correct |
415 ms |
43496 KB |
Output is correct |
62 |
Correct |
48 ms |
21604 KB |
Output is correct |
63 |
Correct |
532 ms |
47328 KB |
Output is correct |
64 |
Correct |
303 ms |
39504 KB |
Output is correct |
65 |
Correct |
477 ms |
45120 KB |
Output is correct |
66 |
Correct |
497 ms |
46292 KB |
Output is correct |
67 |
Correct |
312 ms |
40744 KB |
Output is correct |
68 |
Correct |
499 ms |
47500 KB |
Output is correct |
69 |
Correct |
498 ms |
46540 KB |
Output is correct |
70 |
Correct |
270 ms |
40112 KB |
Output is correct |
71 |
Correct |
298 ms |
38772 KB |
Output is correct |
72 |
Correct |
283 ms |
38848 KB |
Output is correct |
73 |
Correct |
539 ms |
45540 KB |
Output is correct |
74 |
Correct |
303 ms |
38988 KB |
Output is correct |
75 |
Correct |
492 ms |
44780 KB |
Output is correct |
76 |
Correct |
499 ms |
45260 KB |
Output is correct |
77 |
Correct |
490 ms |
44316 KB |
Output is correct |
78 |
Correct |
295 ms |
39136 KB |
Output is correct |
79 |
Correct |
471 ms |
45076 KB |
Output is correct |
80 |
Correct |
352 ms |
42308 KB |
Output is correct |
81 |
Correct |
500 ms |
46172 KB |
Output is correct |