#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<array<int, 2>> a(n);
for (int i = 0; i < n; i++) {
int x, y;
cin >> x >> y;
x *= 2;
y *= 2;
a[i] = {x, y};
}
// directions are 0.up 1.down 2.left 3.right
auto solve = [](int n, vector<array<int, 2>> a, int dir0) -> int {
map<int, set<array<int, 2>>> mp_hor, mp_ver, mp_up, mp_down;
for (int i = 1; i < n; i++) {
auto [x, y] = a[i];
mp_up[y - x].insert({x, i});
mp_down[y + x].insert({x, i});
mp_hor[y].insert({x, i});
mp_ver[x].insert({y, i});
}
queue<array<int, 3>> que;
vector<bool> vis(n, false);
que.push({0, dir0, 0});
vis[0] = true;
while (!que.empty()) {
auto [i, dir, d] = que.front();
auto [x, y] = a[i];
// cout << x / 2 << ' ' << y / 2 << ' ' << dir << ' ' << d << '\n';
que.pop();
if (dir == 0) {
{
auto it = mp_ver.find(x);
if (it != mp_ver.end()) {
while (!it->second.empty()) {
auto [yy, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (yy >= y + 2 * d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 1, abs(y - yy) / 2});
continue;
}
break;
}
if (it->second.empty()) mp_ver.erase(it);
}
}
{
auto it = mp_up.find(y - x);
if (it != mp_up.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (xx >= x + d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 2, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_up.erase(it);
}
}
{
auto it = mp_down.find(y + x);
if (it != mp_down.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (xx <= x - d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 3, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_down.erase(it);
}
}
}
if (dir == 1) {
{
auto it = mp_ver.find(x);
if (it != mp_ver.end()) {
while (!it->second.empty()) {
auto [yy, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (yy <= y - 2 * d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 0, abs(y - yy) / 2});
continue;
}
break;
}
if (it->second.empty()) mp_ver.erase(it);
}
}
{
auto it = mp_up.find(y - x);
if (it != mp_up.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (xx <= x - d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 3, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_up.erase(it);
}
}
{
auto it = mp_down.find(y + x);
if (it != mp_down.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (xx >= x + d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 2, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_down.erase(it);
}
}
}
if (dir == 2) {
{
auto it = mp_hor.find(y);
if (it != mp_hor.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (xx <= x - 2 * d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 3, abs(x - xx) / 2});
continue;
}
break;
}
if (it->second.empty()) mp_hor.erase(it);
}
}
{
auto it = mp_up.find(y - x);
if (it != mp_up.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (xx <= x - d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 0, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_up.erase(it);
}
}
{
auto it = mp_down.find(y + x);
if (it != mp_down.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *(it->second.begin());
if (vis[ii]) {
it->second.erase(it->second.begin());
continue;
}
if (xx <= x - d) {
it->second.erase(it->second.begin());
vis[ii] = true;
que.push({ii, 1, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_down.erase(it);
}
}
}
if (dir == 3) {
{
auto it = mp_hor.find(y);
if (it != mp_hor.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (xx >= x + 2 * d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 2, abs(x - xx) / 2});
continue;
}
break;
}
if (it->second.empty()) mp_hor.erase(it);
}
}
{
auto it = mp_up.find(y - x);
if (it != mp_up.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (xx >= x + d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 1, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_up.erase(it);
}
}
{
auto it = mp_down.find(y + x);
if (it != mp_down.end()) {
while (!it->second.empty()) {
auto [xx, ii] = *prev(it->second.end());
if (vis[ii]) {
it->second.erase(prev(it->second.end()));
continue;
}
if (xx >= x + d) {
it->second.erase(prev(it->second.end()));
vis[ii] = true;
que.push({ii, 0, abs(x - xx)});
continue;
}
break;
}
if (it->second.empty()) mp_down.erase(it);
}
}
}
}
return count(vis.begin(), vis.end(), true);
};
cout << max({solve(n, a, 0), solve(n, a, 1), solve(n, a, 2), solve(n, a, 3)}) << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
456 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
452 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
33 |
Halted |
0 ms |
0 KB |
- |