#include <bits/stdc++.h>
#define all(x) begin(x), end(x)
using namespace std;
using ll = long long;
const int inf = 1<<30;
struct Rect {
array<array<int, 2>, 2> ranges;
void rotate(int c) {
while(c--) {
for(int i = 0; i < 2; i++) {
ranges[0][i] = -exchange(ranges[1][i], ranges[0][i]);
}
for(int i = 0; i < 2; i++) {
if(ranges[i][0] > ranges[i][1])
swap(ranges[i][0], ranges[i][1]);
}
}
}
friend Rect intersect(const Rect &a, const Rect &b) {
Rect res;
for(int i = 0; i < 2; i++) {
res.ranges[i][0] = max(a.ranges[i][0], b.ranges[i][0]);
res.ranges[i][1] = min(a.ranges[i][1], b.ranges[i][1]);
}
return res;
}
bool contains(array<int, 2> P) {
for(int i = 0; i < 2; i++) {
if(P[i] < ranges[i][0] || P[i] > ranges[i][1])
return false;
}
return true;
}
};
Rect intersectAll(vector<Rect> &v) {
Rect res;
res.ranges[0][0] = res.ranges[1][0] = -inf;
res.ranges[0][1] = res.ranges[1][1] = inf;
for(auto &i : v)
res = intersect(res, i);
return res;
}
vector<Rect> prune(vector<Rect> v, array<int, 2> P) {
vector<Rect> res;
for(auto i : v) if(!i.contains(P)) {
res.push_back(i);
}
return res;
}
// Solve k<=3 and k=4 if we use a corner or intersection is non-empty
vector<array<int, 2>> solve_corner(vector<Rect> rects, int k) {
if(k < 1) return {};
//All intersect use 1, not tested
Rect I = intersectAll(rects);
if(I.ranges[0][0] <= I.ranges[0][1] && I.ranges[1][0] <= I.ranges[1][1]) {
return {{I.ranges[0][0], I.ranges[1][0]}};
}
// for(auto &c : I.ranges) {
// for(auto &v : c) cout << v << ", ";
// cout << endl;
// }
//1D case; not tested
int rot = 0;
if(I.ranges[1][0] <= I.ranges[1][1]) {
rot++;
I.rotate(1);
for(auto &i : rects) i.rotate(1);
}
if(I.ranges[0][0] <= I.ranges[0][1]) {
vector<array<int, 2>> segs;//{R, L}
for(auto r : rects) {
segs.push_back({r.ranges[1][1], r.ranges[1][0]});
}
sort(all(segs));
int covered = -1;
vector<array<int, 2>> sol;
for(auto [r, l] : segs) {
if(l <= covered) {
assert(covered <= r);
} else {
sol.push_back({I.ranges[0][0], covered = r});
}
}
if(sol.size() > k) return {};
if(rot) {
for(auto &[x, y] : sol) {
y = -exchange(x, y);
}
}
return sol;
}
assert(!rot);
//Use corner case; not tested
for(int i = 0; i < 2; i++) {
for(int j = 0; j < 2; j++) {
array<int, 2> P = {I.ranges[0][i], I.ranges[1][j]};
auto tmp = solve_corner(prune(rects, P), k - 1);
if(!tmp.empty()) {
tmp.push_back(P);
return tmp;
}
}
}
return {};
}
//solve k=4, no point in the corner -> all on the perimeter
vector<array<int, 2>> solve_perim(vector<Rect> rects) {
return {};
}
vector<array<int, 2>> solve() {
int n, k;
cin >> n >> k;
vector<Rect> rects(n);
for(auto &r : rects) {
// cin >> r.ranges[0][0] >> r[1][0] >> r[0][1] >> r[1][1];
for(int i = 0; i < 2; i++)
for(int j = 0; j < 2; j++)
cin >> r.ranges[j][i];
}
auto res = solve_corner(rects, k);
if(res.empty() && k == 4) {
res = solve_perim(rects);
}
assert(!res.empty());
while(res.size() < k) res.push_back(res.back());
return res;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
auto out = solve();
for(auto [x, y] : out) {
cout << x << " " << y << '\n';
}
}
Compilation message
hamburg.cpp: In function 'std::vector<std::array<int, 2> > solve_corner(std::vector<Rect>, int)':
hamburg.cpp:89:23: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
89 | if(sol.size() > k) return {};
| ~~~~~~~~~~~^~~
hamburg.cpp: In function 'std::vector<std::array<int, 2> > solve()':
hamburg.cpp:137:22: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
137 | while(res.size() < k) res.push_back(res.back());
| ~~~~~~~~~~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
476 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
568 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
748 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
2 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
720 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
472 KB |
Output is correct |
3 |
Correct |
1 ms |
376 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
600 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
3 ms |
828 KB |
Output is correct |
9 |
Correct |
1 ms |
720 KB |
Output is correct |
10 |
Correct |
3 ms |
776 KB |
Output is correct |
11 |
Correct |
3 ms |
820 KB |
Output is correct |
12 |
Correct |
2 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Runtime error |
3 ms |
1112 KB |
Execution killed with signal 6 |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
476 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
45 ms |
14192 KB |
Output is correct |
6 |
Correct |
48 ms |
14420 KB |
Output is correct |
7 |
Correct |
44 ms |
14416 KB |
Output is correct |
8 |
Correct |
45 ms |
14420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
568 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
49 ms |
19660 KB |
Output is correct |
6 |
Correct |
57 ms |
24008 KB |
Output is correct |
7 |
Correct |
50 ms |
19560 KB |
Output is correct |
8 |
Correct |
60 ms |
31432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
748 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
2 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
720 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
61 ms |
16488 KB |
Output is correct |
14 |
Correct |
68 ms |
16504 KB |
Output is correct |
15 |
Correct |
61 ms |
16512 KB |
Output is correct |
16 |
Correct |
63 ms |
16592 KB |
Output is correct |
17 |
Correct |
64 ms |
16588 KB |
Output is correct |
18 |
Correct |
60 ms |
16588 KB |
Output is correct |
19 |
Correct |
49 ms |
22724 KB |
Output is correct |
20 |
Correct |
168 ms |
36404 KB |
Output is correct |
21 |
Correct |
55 ms |
26056 KB |
Output is correct |
22 |
Correct |
89 ms |
35440 KB |
Output is correct |
23 |
Correct |
120 ms |
36336 KB |
Output is correct |
24 |
Correct |
96 ms |
36460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
472 KB |
Output is correct |
3 |
Correct |
1 ms |
376 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
600 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
3 ms |
828 KB |
Output is correct |
9 |
Correct |
1 ms |
720 KB |
Output is correct |
10 |
Correct |
3 ms |
776 KB |
Output is correct |
11 |
Correct |
3 ms |
820 KB |
Output is correct |
12 |
Correct |
2 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Runtime error |
3 ms |
1112 KB |
Execution killed with signal 6 |
15 |
Halted |
0 ms |
0 KB |
- |