/*
Author : DeMen100ns (a.k.a Vo Khac Trieu)
School : VNU-HCM High school for the Gifted
fuck you adhoc
*/
#include <bits/stdc++.h>
#define endl '\n'
#define int long long
using namespace std;
const int N = 3e5 + 5;
const long long INF = 1e18 + 7;
const int MAXA = 1e9;
const int B = sqrt(N) + 5;
array<int, 3> b[N];
set <array<int, 3>> s;
int ans[N];
bool f[N];
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int randint(int l, int r){
return uniform_int_distribution <int> (l, r) (rng);
}
double randdouble(double l, double r){
return uniform_real_distribution <double> (l, r) (rng);
}
struct point{
int x, y;
bool operator <(const point& p) const{
return x < p.x || (x == p.x && y < p.y);
}
bool operator >(const point& p) const{
return x > p.x || (x == p.x && y > p.y);
}
} a[N];
pair<long double, int> d[N];
inline int dist(point a, point b){
int h1 = a.x - b.x;
int h2 = a.y - b.y;
return h1 * h1 + h2 * h2;
}
inline long double sdist(point a, point b){
return sqrt(dist(a, b));
}
bool isintersect(array<int, 3> a, array<int, 3> b){
point a1, b1;
a1.x = a[0]; a1.y = a[1];
b1.x = b[0]; b1.y = b[1];
return dist(a1, b1) <= (a[2] + b[2]) * (a[2] + b[2]);
}
void tryshit(){
array<int, 3> last = {-INF, -INF, -INF};
int sz = s.size();
for(int i = 1; i <= sz; ++i){
auto it = s.upper_bound(last);
if (it == s.end()) break;
array<int, 3> state = *it;
int id = state[2];
last = state;
int ct = 0;
auto it2 = it;
while(1){
++it2; ++ct;
if (it2 == s.end()) break;
int i = (*it2)[2];
if (!ans[i]){
if (isintersect(b[i], b[id])){
s.erase(state);
ans[i] = id; ans[id] = id;
s.erase({-b[i][2], b[i][2], i});
break;
}
}
if (ct == 20) break;
}
auto it3 = s.end();
ct = 0;
while(1){
--it3; ++ct;
if (it3 == it) break;
int i = (*it3)[2];
if (!ans[i]){
if (isintersect(b[i], b[id])){
s.erase(state);
ans[i] = id; ans[id] = id;
s.erase({-b[i][2], b[i][2], i});
break;
}
}
if (ct == 20) break;
}
}
}
inline int cmp(int idi, int idj){
if (b[idi][2] > b[idj][2] || (b[idi][2] == b[idj][2] && idi < idj)){
return idi;
} else {
return idj;
}
}
void tryshit2(){
if (s.empty()) return;
vector <array<int, 3>> v;
for(array<int, 3> st: s){
v.push_back(st);
}
vector <int> er;
for(array<int, 3> st: v){
int i = st[2];
for(int tr = 1; tr <= 50; ++tr){
int r = randint(0, (int)v.size() - 1);
int j = v[r][2];
if (i != j && isintersect(b[i], b[j])){
ans[i] = ans[j] = cmp(i, j);
er.push_back(i); er.push_back(j);
}
}
}
for(int p: er){
s.erase({b[p][2], p});
}
v.clear();
}
void tryshit3(){
if (s.empty()) return;
vector <array<int, 3>> v;
for(array<int, 3> st: s){
v.push_back(st);
}
vector <int> er;
for(int i1 = 0; i1 < (int)v.size(); ++i1){
int i = v[i1][2];
for(int i2 = 0; i2 < i1; ++i2){
int j = v[i2][2];
if (i != j && isintersect(b[i], b[j])){
ans[i] = ans[j] = cmp(i, j);
er.push_back(i); er.push_back(j);
}
}
}
}
void solve(){
int n; cin >> n;
for(int i = 1; i <= n; ++i){
int x, y, r; cin >> x >> y >> r;
b[i] = {x, y, r};
a[i] = {x, y};
}
point p1 = a[1], p2 = a[1];
point p3 = {a[1].y, a[1].x}, p4 = {a[1].y, a[1].x};
for(int i = 1; i <= n; ++i){
p1 = min(p1, a[i]);
p2 = max(p2, a[i]);
p3 = min(p3, {a[1].y, a[1].x});
p4 = max(p4, {a[1].y, a[1].x});
d[i].second = i;
}
for(int i = 1; i <= n; ++i){
d[i].first = sdist(a[i], p1) + 10 * sdist(a[i], p2) + 100 * sdist(a[i], p3) + 1000 * sdist(a[i], p4);
}
sort(d + 1, d + n + 1);
for(int i = 1; i <= n; ++i){
for(int j = i + 1; j <= min(n, i + 100); ++j){
int idi = d[i].second, idj = d[j].second;
if (isintersect(b[idi], b[idj])){
ans[idi] = ans[idj] = cmp(idi, idj);
}
}
}
for(int i = 1; i <= n; ++i){
if (!ans[i]) s.insert({-b[i][2], b[i][2], i});
}
for(int i = 1; i <= 5; ++i){
tryshit();
}
tryshit2();
if (s.size() <= 10000){
tryshit3();
}
for(int i = 1; i <= n; ++i){
if (!ans[i]) ans[i] = i;
}
for(int i = 1; i <= n; ++i) cout << ans[i] << " ";
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// freopen("codeforces.inp","r",stdin);
// freopen("codeforces.out","w",stdout);
int t = 1; // cin >> t;
while (t--)
{
solve();
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
334 ms |
25728 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
581 ms |
17496 KB |
Output is correct |
3 |
Correct |
2553 ms |
54388 KB |
Output is correct |
4 |
Correct |
2503 ms |
54380 KB |
Output is correct |
5 |
Incorrect |
1111 ms |
37824 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1952 ms |
53064 KB |
Output is correct |
2 |
Correct |
2029 ms |
52660 KB |
Output is correct |
3 |
Incorrect |
328 ms |
27328 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |