#include <bits/stdc++.h>
using namespace std;
const int N = 200000, X = 1000000000;
vector<array<int, 2>> ans;
array<int, 4> rect[N];
bool tested[N];
int n, k;
vector<int> adj[N], jda[N], order;
int color[N], s, m;
bool visited[N];
void add_expr(int u, int v) {
adj[u ^ 1].push_back(v);
adj[v ^ 1].push_back(u);
jda[u].push_back(v ^ 1);
jda[v].push_back(u ^ 1);
}
struct side {
map<int, int> mapping, prefix, suffix;
void add(int x) {
if (mapping.count(x) == 0) {
suffix[x] = m + 4;
prefix[x] = m + 2;
mapping[x] = m;
m += 6;
}
}
int less(int x) {
add(x);
return prefix[x];
}
int greater(int x) {
add(x);
return suffix[x];
}
void init() {
vector<pair<int, int>> pairs(mapping.begin(), mapping.end());
for (int i = 1; i < (int) pairs.size(); ++i) {
int x = pairs[i - 1].first, y = pairs[i].first;
add_expr(prefix[x] ^ 1, suffix[y] ^ 1);
add_expr(prefix[x] ^ 1, mapping[y] ^ 1);
add_expr(mapping[x] ^ 1, suffix[y] ^ 1);
}
}
int find() {
for (auto [x, y] : mapping) {
if (color[y] > color[y + 1]) {
return x;
}
}
return -1;
}
};
array<int, 4> bounds() {
int x1 = X, x2 = 0, y1 = X, y2 = 0;
for (int i = 0; i < n; ++i) {
auto [l, d, r, u] = rect[i];
if (!tested[i]) {
x1 = min(x1, r);
x2 = max(x2, l);
y1 = min(y1, u);
y2 = max(y2, d);
}
}
return {x1, x2, y1, y2};
}
void solve() {
if (count(tested, tested + n, false) == 0) {
while ((int) ans.size() < k) {
ans.push_back(ans.back());
}
for (auto [x, y] : ans) {
cout << x << " " << y << "\n";
}
exit(0);
} else if ((int) ans.size() == k) {
return;
}
auto [x1, x2, y1, y2] = bounds();
for (auto x : {x1, x2}) {
for (auto y : {y1, y2}) {
ans.push_back({x, y});
vector<int> undo;
for (int i = 0; i < n; ++i) {
auto [l, d, r, u] = rect[i];
if (!tested[i] && l <= x && x <= r && d <= y && y <= u) {
undo.push_back(i);
tested[i] = true;
}
}
solve();
for (auto i : undo) {
tested[i] = false;
}
ans.pop_back();
}
}
}
void dfs_order(int u) {
visited[u] = true;
for (auto c : adj[u]) {
if (!visited[c]) {
dfs_order(c);
}
}
order.push_back(u);
}
void dfs_color(int u, int x) {
color[u] = x;
for (auto c : jda[u]) {
if (color[c] != 0) {
dfs_color(c, x);
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> k;
for (int i = 0; i < n; ++i) {
for (auto &j : rect[i]) {
cin >> j;
}
}
solve();
auto [x1, x2, y1, y2] = bounds();
side left, down, right, up;
for (int i = 0; i < n; ++i) {
auto [l, d, r, u] = rect[i];
if (!(l <= x1 && x2 <= r) && !(d <= y1 && y2 <= u)) {
if (l <= x1 && d <= y1) {
add_expr(left.less(u), down.less(r));
} else if (l <= x1 && u >= y2) {
add_expr(left.greater(d), up.less(r));
} else if (r >= x2 && d <= y1) {
add_expr(right.less(u), down.greater(l));
} else if (r >= x2 && u >= y2) {
add_expr(right.greater(d), up.greater(l));
} else if (l <= x1) {
add_expr(left.greater(d), left.greater(d));
add_expr(left.less(u), left.less(u));
} else if (r >= x2) {
add_expr(right.greater(d), right.greater(d));
add_expr(right.less(u), right.less(u));
} else if (d <= y1) {
add_expr(down.greater(l), down.greater(l));
add_expr(down.less(r), down.less(r));
} else if (u >= y2) {
add_expr(up.greater(l), up.greater(l));
add_expr(up.less(r), up.less(r));
}
}
}
left.init();
down.init();
right.init();
up.init();
for (int i = 0; i < m; ++i) {
if (!visited[i]) {
dfs_order(i);
}
}
reverse(order.begin(), order.end());
for (auto i : order) {
if (color[i] == 0) {
dfs_color(i, ++s);
}
}
cout << x1 << " " << left.find() << "\n";
cout << down.find() << " " << y1 << "\n";
cout << x2 << " " << right.find() << "\n";
cout << up.find() << " " << y2 << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9812 KB |
Output is correct |
3 |
Correct |
8 ms |
9856 KB |
Output is correct |
4 |
Correct |
8 ms |
9836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9964 KB |
Output is correct |
4 |
Correct |
9 ms |
9836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9836 KB |
Output is correct |
4 |
Correct |
8 ms |
9836 KB |
Output is correct |
5 |
Correct |
8 ms |
9836 KB |
Output is correct |
6 |
Correct |
8 ms |
9836 KB |
Output is correct |
7 |
Correct |
9 ms |
9836 KB |
Output is correct |
8 |
Correct |
9 ms |
9836 KB |
Output is correct |
9 |
Correct |
10 ms |
9836 KB |
Output is correct |
10 |
Correct |
10 ms |
9836 KB |
Output is correct |
11 |
Correct |
9 ms |
9836 KB |
Output is correct |
12 |
Correct |
9 ms |
9836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9836 KB |
Output is correct |
4 |
Correct |
9 ms |
9836 KB |
Output is correct |
5 |
Correct |
9 ms |
9836 KB |
Output is correct |
6 |
Correct |
9 ms |
9836 KB |
Output is correct |
7 |
Correct |
9 ms |
9836 KB |
Output is correct |
8 |
Correct |
8 ms |
9836 KB |
Output is correct |
9 |
Correct |
11 ms |
9836 KB |
Output is correct |
10 |
Correct |
9 ms |
9836 KB |
Output is correct |
11 |
Correct |
9 ms |
9836 KB |
Output is correct |
12 |
Correct |
8 ms |
9836 KB |
Output is correct |
13 |
Correct |
13 ms |
9836 KB |
Output is correct |
14 |
Incorrect |
18 ms |
10604 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9812 KB |
Output is correct |
3 |
Correct |
8 ms |
9856 KB |
Output is correct |
4 |
Correct |
8 ms |
9836 KB |
Output is correct |
5 |
Correct |
103 ms |
14700 KB |
Output is correct |
6 |
Correct |
105 ms |
14700 KB |
Output is correct |
7 |
Correct |
103 ms |
14700 KB |
Output is correct |
8 |
Correct |
103 ms |
14700 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9964 KB |
Output is correct |
4 |
Correct |
9 ms |
9836 KB |
Output is correct |
5 |
Correct |
107 ms |
14828 KB |
Output is correct |
6 |
Correct |
114 ms |
15180 KB |
Output is correct |
7 |
Correct |
107 ms |
14828 KB |
Output is correct |
8 |
Correct |
119 ms |
14980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9836 KB |
Output is correct |
4 |
Correct |
8 ms |
9836 KB |
Output is correct |
5 |
Correct |
8 ms |
9836 KB |
Output is correct |
6 |
Correct |
8 ms |
9836 KB |
Output is correct |
7 |
Correct |
9 ms |
9836 KB |
Output is correct |
8 |
Correct |
9 ms |
9836 KB |
Output is correct |
9 |
Correct |
10 ms |
9836 KB |
Output is correct |
10 |
Correct |
10 ms |
9836 KB |
Output is correct |
11 |
Correct |
9 ms |
9836 KB |
Output is correct |
12 |
Correct |
9 ms |
9836 KB |
Output is correct |
13 |
Correct |
108 ms |
14728 KB |
Output is correct |
14 |
Correct |
108 ms |
14572 KB |
Output is correct |
15 |
Correct |
109 ms |
14828 KB |
Output is correct |
16 |
Correct |
111 ms |
14828 KB |
Output is correct |
17 |
Correct |
108 ms |
14700 KB |
Output is correct |
18 |
Correct |
106 ms |
14700 KB |
Output is correct |
19 |
Correct |
110 ms |
14828 KB |
Output is correct |
20 |
Correct |
118 ms |
14700 KB |
Output is correct |
21 |
Correct |
233 ms |
15092 KB |
Output is correct |
22 |
Correct |
176 ms |
14748 KB |
Output is correct |
23 |
Correct |
150 ms |
14772 KB |
Output is correct |
24 |
Correct |
160 ms |
14588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
9836 KB |
Output is correct |
2 |
Correct |
9 ms |
9836 KB |
Output is correct |
3 |
Correct |
9 ms |
9836 KB |
Output is correct |
4 |
Correct |
9 ms |
9836 KB |
Output is correct |
5 |
Correct |
9 ms |
9836 KB |
Output is correct |
6 |
Correct |
9 ms |
9836 KB |
Output is correct |
7 |
Correct |
9 ms |
9836 KB |
Output is correct |
8 |
Correct |
8 ms |
9836 KB |
Output is correct |
9 |
Correct |
11 ms |
9836 KB |
Output is correct |
10 |
Correct |
9 ms |
9836 KB |
Output is correct |
11 |
Correct |
9 ms |
9836 KB |
Output is correct |
12 |
Correct |
8 ms |
9836 KB |
Output is correct |
13 |
Correct |
13 ms |
9836 KB |
Output is correct |
14 |
Incorrect |
18 ms |
10604 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |