#include<bits/stdc++.h>
using namespace std;
typedef long long llint;
typedef pair <int, int> pi;
const int MAXN = 1000005;
int n, ok = 1;
int x[MAXN], y[MAXN], par[MAXN], siz[MAXN], bio[MAXN], sol[MAXN];
char c[MAXN];
vector <int> sazx, sazy, nodes, edges, lef, rig;
vector <pi> vx[MAXN], vy[MAXN], v[MAXN];
void dsu_init () {
for (int i = 0; i <= 2*n; i++) {
par[i] = i;
siz[i] = 1;
}
}
int nadi (int a) {
if (a == par[a]) return a;
return par[a] = nadi(par[a]);
}
void spoji (int a, int b) {
a = nadi(a);
b = nadi(b);
if (a == b) return;
if (a > b) swap(a, b);
par[a] = b;
siz[b] += siz[a];
}
void sazmi () {
for (int i = 0; i < n; i++) {
sazx.push_back(x[i]);
sazy.push_back(y[i]);
}
sort(sazx.begin(), sazx.end());
sort(sazy.begin(), sazy.end());
sazx.erase(unique(sazx.begin(), sazx.end()), sazx.end());
sazy.erase(unique(sazy.begin(), sazy.end()), sazy.end());
for (int i = 0; i < n; i++) {
x[i] = lower_bound(sazx.begin(), sazx.end(), x[i]) - sazx.begin();
y[i] = lower_bound(sazy.begin(), sazy.end(), y[i]) - sazy.begin();
}
}
void find_cycles () {
for (int i = 0; i < n; i++) {
if (c[i] == '/') {
vx[x[i]].push_back({2 * y[i] + 1, 2 * i + 0});
vx[x[i]].push_back({2 * y[i] + 0, 2 * i + 1});
vy[y[i]].push_back({2 * x[i] + 0, 2 * i + 0});
vy[y[i]].push_back({2 * x[i] + 1, 2 * i + 1});
} else {
vx[x[i]].push_back({2 * y[i] + 1, 2 * i + 0});
vx[x[i]].push_back({2 * y[i] + 0, 2 * i + 1});
vy[y[i]].push_back({2 * x[i] + 1, 2 * i + 0});
vy[y[i]].push_back({2 * x[i] + 0, 2 * i + 1});
}
}
for (int i = 0; i < sazx.size(); i++) {
sort(vx[i].begin(), vx[i].end());
for (int j = 1; j + 1 < vx[i].size(); j += 2) {
spoji(vx[i][j].second, vx[i][j + 1].second);
}
spoji(vx[i][0].second, 2 * n);
spoji(vx[i].back().second, 2 * n);
}
for (int i = 0; i < sazy.size(); i++) {
sort(vy[i].begin(), vy[i].end());
for (int j = 1; j + 1 < vy[i].size(); j += 2) {
spoji(vy[i][j].second, vy[i][j + 1].second);
}
spoji(vy[i][0].second, 2 * n);
spoji(vy[i].back().second, 2 * n);
}
}
void build_graph () {
for (int i = 0; i <= 2 * n; i++) {
if (i == par[i]) {
nodes.push_back(i);
if (i < 2 * n && siz[i] % 8 != 0) ok = 0;
}
}
for (int i = 0; i < n; i++) {
int a = nadi(2 * i);
int b = nadi(2 * i + 1);
v[a].push_back({b, i});
v[b].push_back({a, i});
}
}
void euler (int x) {
while (v[x].size()) {
int to = v[x].back().first;
int ind = v[x].back().second;
v[x].pop_back();
if (bio[ind]) continue;
bio[ind] = 1;
euler(to);
edges.push_back(ind);
}
}
void solve () {
euler(2 * n);
for (int i = 0; i < edges.size(); i++) {
if (i % 2 == 0) lef.push_back(edges[i]);
if (i % 2 == 1) rig.push_back(edges[i]);
}
edges.clear();
memset(bio, 0, sizeof bio);
for (auto i : lef) {
int a = nadi(2 * i);
int b = nadi(2 * i + 1);
v[a].push_back({b, i});
v[b].push_back({a, i});
}
for (int i = (int)nodes.size() - 1; i >= 0; i--) {
euler(nodes[i]);
}
for (int i = 0; i < edges.size(); i++) {
sol[edges[i]] = 3 + i % 2;
}
edges.clear();
memset(bio, 0, sizeof bio);
for (auto i : rig) {
int a = nadi(2 * i);
int b = nadi(2 * i + 1);
v[a].push_back({b, i});
v[b].push_back({a, i});
}
for (int i = (int)nodes.size() - 1; i >= 0; i--) {
euler(nodes[i]);
}
for (int i = 0; i < edges.size(); i++) {
sol[edges[i]] = 1 + i % 2;
}
edges.clear();
memset(bio, 0, sizeof bio);
}
void ispis () {
for (int i = 0; i < n; i++) {
cout << sol[i] << " ";
}
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
dsu_init();
for (int i = 0; i < n; i++) {
cin >> x[i] >> y[i] >> c[i];
}
sazmi();
find_cycles();
build_graph();
if (!ok) {
cout << "-1";
return 0;
}
solve();
ispis();
return 0;
}
Compilation message
Main.cpp: In function 'void find_cycles()':
Main.cpp:66:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
66 | for (int i = 0; i < sazx.size(); i++) {
| ~~^~~~~~~~~~~~~
Main.cpp:68:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
68 | for (int j = 1; j + 1 < vx[i].size(); j += 2) {
| ~~~~~~^~~~~~~~~~~~~~
Main.cpp:74:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
74 | for (int i = 0; i < sazy.size(); i++) {
| ~~^~~~~~~~~~~~~
Main.cpp:76:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
76 | for (int j = 1; j + 1 < vy[i].size(); j += 2) {
| ~~~~~~^~~~~~~~~~~~~~
Main.cpp: In function 'void solve()':
Main.cpp:113:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
113 | for (int i = 0; i < edges.size(); i++) {
| ~~^~~~~~~~~~~~~~
Main.cpp:129:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
129 | for (int i = 0; i < edges.size(); i++) {
| ~~^~~~~~~~~~~~~~
Main.cpp:144:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
144 | for (int i = 0; i < edges.size(); i++) {
| ~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
35 ms |
74644 KB |
Output is correct |
2 |
Correct |
39 ms |
74844 KB |
Output is correct |
3 |
Correct |
35 ms |
74624 KB |
Output is correct |
4 |
Correct |
36 ms |
74708 KB |
Output is correct |
5 |
Correct |
32 ms |
70736 KB |
Output is correct |
6 |
Correct |
35 ms |
70696 KB |
Output is correct |
7 |
Correct |
35 ms |
74652 KB |
Output is correct |
8 |
Correct |
41 ms |
70740 KB |
Output is correct |
9 |
Correct |
34 ms |
74648 KB |
Output is correct |
10 |
Correct |
35 ms |
70748 KB |
Output is correct |
11 |
Correct |
35 ms |
74696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
625 ms |
137844 KB |
Output is correct |
2 |
Correct |
532 ms |
137052 KB |
Output is correct |
3 |
Correct |
520 ms |
135236 KB |
Output is correct |
4 |
Correct |
442 ms |
131076 KB |
Output is correct |
5 |
Correct |
365 ms |
126260 KB |
Output is correct |
6 |
Correct |
380 ms |
125356 KB |
Output is correct |
7 |
Correct |
450 ms |
128660 KB |
Output is correct |
8 |
Correct |
377 ms |
126968 KB |
Output is correct |
9 |
Correct |
35 ms |
70740 KB |
Output is correct |
10 |
Correct |
363 ms |
124952 KB |
Output is correct |
11 |
Correct |
34 ms |
70732 KB |
Output is correct |
12 |
Correct |
44 ms |
74704 KB |
Output is correct |
13 |
Correct |
35 ms |
70868 KB |
Output is correct |
14 |
Correct |
37 ms |
74708 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
35 ms |
74644 KB |
Output is correct |
2 |
Correct |
39 ms |
74844 KB |
Output is correct |
3 |
Correct |
35 ms |
74624 KB |
Output is correct |
4 |
Correct |
36 ms |
74708 KB |
Output is correct |
5 |
Correct |
32 ms |
70736 KB |
Output is correct |
6 |
Correct |
35 ms |
70696 KB |
Output is correct |
7 |
Correct |
35 ms |
74652 KB |
Output is correct |
8 |
Correct |
41 ms |
70740 KB |
Output is correct |
9 |
Correct |
34 ms |
74648 KB |
Output is correct |
10 |
Correct |
35 ms |
70748 KB |
Output is correct |
11 |
Correct |
35 ms |
74696 KB |
Output is correct |
12 |
Correct |
625 ms |
137844 KB |
Output is correct |
13 |
Correct |
532 ms |
137052 KB |
Output is correct |
14 |
Correct |
520 ms |
135236 KB |
Output is correct |
15 |
Correct |
442 ms |
131076 KB |
Output is correct |
16 |
Correct |
365 ms |
126260 KB |
Output is correct |
17 |
Correct |
380 ms |
125356 KB |
Output is correct |
18 |
Correct |
450 ms |
128660 KB |
Output is correct |
19 |
Correct |
377 ms |
126968 KB |
Output is correct |
20 |
Correct |
35 ms |
70740 KB |
Output is correct |
21 |
Correct |
363 ms |
124952 KB |
Output is correct |
22 |
Correct |
34 ms |
70732 KB |
Output is correct |
23 |
Correct |
44 ms |
74704 KB |
Output is correct |
24 |
Correct |
35 ms |
70868 KB |
Output is correct |
25 |
Correct |
37 ms |
74708 KB |
Output is correct |
26 |
Correct |
710 ms |
138772 KB |
Output is correct |
27 |
Correct |
680 ms |
136804 KB |
Output is correct |
28 |
Correct |
592 ms |
135484 KB |
Output is correct |
29 |
Correct |
544 ms |
131224 KB |
Output is correct |
30 |
Correct |
439 ms |
126572 KB |
Output is correct |
31 |
Correct |
456 ms |
125628 KB |
Output is correct |
32 |
Correct |
518 ms |
129676 KB |
Output is correct |
33 |
Correct |
448 ms |
127944 KB |
Output is correct |
34 |
Correct |
437 ms |
119940 KB |
Output is correct |
35 |
Correct |
399 ms |
118576 KB |
Output is correct |
36 |
Correct |
492 ms |
119768 KB |
Output is correct |
37 |
Correct |
39 ms |
70900 KB |
Output is correct |
38 |
Correct |
433 ms |
124776 KB |
Output is correct |
39 |
Correct |
36 ms |
70804 KB |
Output is correct |
40 |
Correct |
37 ms |
74644 KB |
Output is correct |
41 |
Correct |
34 ms |
70800 KB |
Output is correct |
42 |
Correct |
35 ms |
74680 KB |
Output is correct |