#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const int N = 2e5 + 50;
const int M = 2 * N + 5;
int l[N], r[N], u[N], d[N], n, k;
bitset<N> used, full;
vector<pair<int, int>> points;
vector<int> X, Y;
int cnt;
void rec();
inline bool inter(int i, int x, int y) {
return l[i] <= x && x <= r[i] && d[i] <= y && y <= u[i];
}
inline void add_point(int x, int y) {
vector<int> change;
for (int i = used._Find_first(); i < n; i = used._Find_next(i)) {
if (inter(i, x, y)) {
cnt--;
used[i] = false;
change.push_back(i);
}
}
if (change.empty())
return;
points.emplace_back(x, y);
rec();
for (auto cc: change) used[cc] = true, cnt++;
points.pop_back();
}
const int V = 2 * 4 * M;
vector<int> adj[V], adj_t[V];
bitset<V> mark, ass;
vector<int> order;
int comp[V];
void dfs1(int v) {
mark[v] = true;
for (auto u: adj[v]) if (!mark[u])
dfs1(u);
order.push_back(v);
}
void dfs2(int v, int cl) {
comp[v] = cl;
for (auto u: adj_t[v]) {
if (comp[u] == -1)
dfs2(u, cl);
}
}
void solve_2SAT() {
mark = 0;
for (int i = 0; i < V; i++) if (!mark[i])
dfs1(i);
fill(comp, comp + V, -1);
assert(order.size() == V);
for (int i = 0, j = 0; i < V; i++) {
int v = order[V - i - 1];
if (comp[v] == -1)
dfs2(v, j++);
}
for (int i = 0; i < V; i += 2)
ass[i / 2] = comp[i] > comp[i ^ 1];
}
void add_disjunction(int a, bool na, int b, bool nb) {
a = 2 * a ^ na;
b = 2 * b ^ nb;
int neg_a = a ^ 1;
int neg_b = b ^ 1;
adj[neg_a].push_back(b);
adj[neg_b].push_back(a);
adj_t[b].push_back(neg_a);
adj_t[a].push_back(neg_b);
}
void add_two(int a, int b, int c, int d) {
assert(a > 0 && c > 0);
a--, c--;
add_disjunction(a, 1, c, 1);
add_disjunction(a, 1, d, 0);
add_disjunction(b, 1, c, 1);
add_disjunction(b, 1, d, 0);
}
void rec() {
if (!cnt && points.size() <= k) {
for (int i = 0; i < (int) points.size(); i++)
cout << X[points[i].first] << ' ' << Y[points[i].second] << '\n';
for (int i = points.size(); i < k; i++)
cout << 1 << ' ' << 1 << '\n';
exit(0);
}
if (points.size() >= k)
return;
int minR = 2 * n;
int minU = 2 * n;
int maxD = 0;
int maxL = 0;
for (int i = used._Find_first(); i < n; i = used._Find_next(i)) {
minR = min(minR, r[i]);
maxL = max(maxL, l[i]);
minU = min(minU, u[i]);
maxD = max(maxD, d[i]);
}
if (maxL <= minR || maxD <= minU) {
add_point(minR, minU);
}
else {
add_point(minR, minU);
add_point(minR, maxD);
add_point(maxL, minU);
add_point(maxL, maxD);
if (points.size())
return;
for (int i = 0; i < n; i++) {
l[i] = max(l[i], minR);
r[i] = min(r[i], maxL);
d[i] = max(d[i], minU);
u[i] = min(u[i], maxD);
int q = (l[i] == minR) + (r[i] == maxL) + (d[i] == minU) + (u[i] == maxD);
if (q >= 3)
continue;
assert(q);
if (q == 1) {
if (l[i] == minR)
add_disjunction(d[i] - 1, true, d[i] - 1, true),
add_disjunction(u[i], false, u[i], false);
else if (r[i] == maxL)
add_disjunction(2 * M + d[i] - 1, true, 2 * M + d[i] - 1, true),
add_disjunction(2 * M + u[i], false, 2 * M + u[i], false);
else if (d[i] == minU)
add_disjunction(3 * M + l[i] - 1, true, 3 * M + l[i] - 1, true),
add_disjunction(3 * M + r[i], false, 3 * M + r[i], false);
else //u[i] == maxD
add_disjunction(M + l[i] - 1, true, M + l[i] - 1, true),
add_disjunction(M + r[i], false, M + r[i], false);
}
else {
if (l[i] == minR && r[i] == maxL)
add_two(d[i], u[i], 2 * M + d[i], 2 * M + u[i]);
else if (l[i] == minR && d[i] == minU)
add_two(d[i], u[i], 3 * M + l[i], 3 * M + r[i]);
else if (l[i] == minR && u[i] == maxD)
add_two(d[i], u[i], M + l[i], M + r[i]);
else if (r[i] == maxL && d[i] == minU)
add_two(2 * M + d[i], 2 * M + u[i], 3 * M + l[i], 3 * M + r[i]);
else if (r[i] == maxL && u[i] == maxD)
add_two(2 * M + d[i], 2 * M + u[i], M + l[i], M + r[i]);
else if (d[i] == minU && u[i] == maxD)
add_two(3 * M + l[i], 3 * M + r[i], M + l[i], M + r[i]);
}
}
//init edges
for (int j = 0; j < 4; j++)
for (int i = j * M; i < (j + 1) * M - 1; i++)
add_disjunction(i, true, i + 1, false);
solve_2SAT();
for (int i = 0; i < M; i++)
if (ass[i])
add_point(minR, i);
}
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
X.reserve(2 * n), Y.reserve(2 * n);
X.push_back(-1), Y.push_back(-1);
for (int i = 0; i < n; i++) {
cin >> l[i] >> d[i] >> r[i] >> u[i];
X.push_back(l[i]);
X.push_back(r[i]);
Y.push_back(d[i]);
Y.push_back(u[i]);
}
sort(X.begin(), X.end());
X.resize(unique(X.begin(), X.end()) - X.begin());
sort(Y.begin(), Y.end());
Y.resize(unique(Y.begin(), Y.end()) - Y.begin());
for (int i = 0; i < n; i++) {
l[i] = lower_bound(X.begin(), X.end(), l[i]) - X.begin();
r[i] = lower_bound(X.begin(), X.end(), r[i]) - X.begin();
u[i] = lower_bound(Y.begin(), Y.end(), u[i]) - Y.begin();
d[i] = lower_bound(Y.begin(), Y.end(), d[i]) - Y.begin();
}
for (int i = 0; i < n; i++)
used[i] = true;
cnt = n;
rec();
cout << "NO I DID NOT FIND ANYTHING\n";
return 0;
}
Compilation message
hamburg.cpp: In function 'void rec()':
hamburg.cpp:99:35: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
99 | if (!cnt && points.size() <= k) {
| ~~~~~~~~~~~~~~^~~~
hamburg.cpp:106:27: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
106 | if (points.size() >= k)
| ~~~~~~~~~~~~~~^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
150824 KB |
Output is correct |
2 |
Correct |
71 ms |
150840 KB |
Output is correct |
3 |
Correct |
70 ms |
150740 KB |
Output is correct |
4 |
Correct |
72 ms |
150972 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
150792 KB |
Output is correct |
2 |
Correct |
72 ms |
150852 KB |
Output is correct |
3 |
Correct |
71 ms |
150732 KB |
Output is correct |
4 |
Correct |
72 ms |
150728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
150832 KB |
Output is correct |
2 |
Correct |
81 ms |
150732 KB |
Output is correct |
3 |
Correct |
82 ms |
150860 KB |
Output is correct |
4 |
Correct |
73 ms |
150848 KB |
Output is correct |
5 |
Correct |
72 ms |
150792 KB |
Output is correct |
6 |
Correct |
71 ms |
150840 KB |
Output is correct |
7 |
Correct |
70 ms |
150792 KB |
Output is correct |
8 |
Correct |
72 ms |
150760 KB |
Output is correct |
9 |
Correct |
72 ms |
150732 KB |
Output is correct |
10 |
Correct |
72 ms |
150852 KB |
Output is correct |
11 |
Correct |
71 ms |
150792 KB |
Output is correct |
12 |
Correct |
74 ms |
150736 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
78 ms |
150852 KB |
Output is correct |
2 |
Correct |
72 ms |
150888 KB |
Output is correct |
3 |
Correct |
72 ms |
150792 KB |
Output is correct |
4 |
Correct |
74 ms |
150864 KB |
Output is correct |
5 |
Correct |
76 ms |
150744 KB |
Output is correct |
6 |
Correct |
84 ms |
150788 KB |
Output is correct |
7 |
Correct |
73 ms |
150756 KB |
Output is correct |
8 |
Correct |
72 ms |
150828 KB |
Output is correct |
9 |
Correct |
73 ms |
150756 KB |
Output is correct |
10 |
Correct |
74 ms |
150804 KB |
Output is correct |
11 |
Correct |
72 ms |
150724 KB |
Output is correct |
12 |
Correct |
73 ms |
150788 KB |
Output is correct |
13 |
Correct |
75 ms |
150776 KB |
Output is correct |
14 |
Execution timed out |
3081 ms |
402432 KB |
Time limit exceeded |
15 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
150824 KB |
Output is correct |
2 |
Correct |
71 ms |
150840 KB |
Output is correct |
3 |
Correct |
70 ms |
150740 KB |
Output is correct |
4 |
Correct |
72 ms |
150972 KB |
Output is correct |
5 |
Correct |
331 ms |
158688 KB |
Output is correct |
6 |
Correct |
332 ms |
158840 KB |
Output is correct |
7 |
Correct |
338 ms |
158676 KB |
Output is correct |
8 |
Correct |
327 ms |
158868 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
150792 KB |
Output is correct |
2 |
Correct |
72 ms |
150852 KB |
Output is correct |
3 |
Correct |
71 ms |
150732 KB |
Output is correct |
4 |
Correct |
72 ms |
150728 KB |
Output is correct |
5 |
Correct |
334 ms |
158588 KB |
Output is correct |
6 |
Correct |
331 ms |
158600 KB |
Output is correct |
7 |
Correct |
369 ms |
158596 KB |
Output is correct |
8 |
Correct |
339 ms |
158556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
150832 KB |
Output is correct |
2 |
Correct |
81 ms |
150732 KB |
Output is correct |
3 |
Correct |
82 ms |
150860 KB |
Output is correct |
4 |
Correct |
73 ms |
150848 KB |
Output is correct |
5 |
Correct |
72 ms |
150792 KB |
Output is correct |
6 |
Correct |
71 ms |
150840 KB |
Output is correct |
7 |
Correct |
70 ms |
150792 KB |
Output is correct |
8 |
Correct |
72 ms |
150760 KB |
Output is correct |
9 |
Correct |
72 ms |
150732 KB |
Output is correct |
10 |
Correct |
72 ms |
150852 KB |
Output is correct |
11 |
Correct |
71 ms |
150792 KB |
Output is correct |
12 |
Correct |
74 ms |
150736 KB |
Output is correct |
13 |
Correct |
363 ms |
158424 KB |
Output is correct |
14 |
Correct |
336 ms |
158472 KB |
Output is correct |
15 |
Correct |
339 ms |
158480 KB |
Output is correct |
16 |
Correct |
334 ms |
158480 KB |
Output is correct |
17 |
Correct |
345 ms |
158412 KB |
Output is correct |
18 |
Correct |
331 ms |
158632 KB |
Output is correct |
19 |
Correct |
342 ms |
158416 KB |
Output is correct |
20 |
Correct |
347 ms |
158412 KB |
Output is correct |
21 |
Correct |
431 ms |
158540 KB |
Output is correct |
22 |
Correct |
368 ms |
158488 KB |
Output is correct |
23 |
Correct |
370 ms |
158448 KB |
Output is correct |
24 |
Correct |
379 ms |
158432 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
78 ms |
150852 KB |
Output is correct |
2 |
Correct |
72 ms |
150888 KB |
Output is correct |
3 |
Correct |
72 ms |
150792 KB |
Output is correct |
4 |
Correct |
74 ms |
150864 KB |
Output is correct |
5 |
Correct |
76 ms |
150744 KB |
Output is correct |
6 |
Correct |
84 ms |
150788 KB |
Output is correct |
7 |
Correct |
73 ms |
150756 KB |
Output is correct |
8 |
Correct |
72 ms |
150828 KB |
Output is correct |
9 |
Correct |
73 ms |
150756 KB |
Output is correct |
10 |
Correct |
74 ms |
150804 KB |
Output is correct |
11 |
Correct |
72 ms |
150724 KB |
Output is correct |
12 |
Correct |
73 ms |
150788 KB |
Output is correct |
13 |
Correct |
75 ms |
150776 KB |
Output is correct |
14 |
Execution timed out |
3081 ms |
402432 KB |
Time limit exceeded |
15 |
Halted |
0 ms |
0 KB |
- |