#include <bits/stdc++.h>
#include <ratio>
using namespace std;
using db = long double;
using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end()
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;
template<typename... Args> // tuples
ostream& operator<<(ostream& os, tuple<Args...> t) {
apply([&](Args... args) { string dlm = "{"; ((os << dlm << args, dlm = ", "), ...); }, t);
return os << "}";
}
template<typename T, typename V> // pairs
ostream& operator<<(ostream& os, pair<T, V> p) { return os << "{" << p.f << ", " << p.s << "}"; }
template<class T, class = decltype(begin(declval<T>()))> // iterables
typename enable_if<!is_same<T, string>::value, ostream&>::type operator<<(ostream& os, const T& v) {
string dlm = "{";
for (auto& i : v) os << dlm << i, dlm = ", ";
return os << "}";
}
template <typename T, typename... V>
void printer(string pfx, const char *names, T&& head, V&& ...tail) {
int i = 0;
while (names[i] && names[i] != ',') i++;
constexpr bool is_str = is_same_v<decay_t<T>, const char*>;
if (is_str) cerr << " " << head;
else cerr << pfx, cerr.write(names, i) << " = " << head;
if constexpr (sizeof...(tail)) printer(is_str ? "" : ",", names + i + 1, tail...);
else cerr << endl;
}
#ifdef LOCAL
#define dbg(...) printer(to_string(__LINE__) + ": ", #__VA_ARGS__, __VA_ARGS__)
#else
#define dbg(x...)
#define cerr if (0) std::cerr
#endif
/*
circle a intersects with circle b if
dx^2 + dy^2 <= (ra + rb)^2
subtask 1: brute force
subtask 2: line case
keep set of lefts and rights
subtask 3:
*/
int n;
vt<pl> circles;
main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
circles.resize(n);
F0R (i, n) {
ll x, y, r; cin >> x >> y >> r;
circles[i] = {x - r, x + r};
}
vt<int> ord(n);
iota(all(ord), 0);
sort(all(ord), [&] (int i, int j) { return circles[i].s - circles[i].f == circles[j].s - circles[j].f ? i < j : circles[i].s - circles[i].f > circles[j].s - circles[j].f; } );
vt<int> ans(n, -1);
set<pi> lefts, rights;
F0R (i, n) {
lefts.insert({circles[i].f, i});
rights.insert({circles[i].s, i});
}
for (int i : ord) {
if (ans[i] != -1) continue;
ans[i] = i;
auto [l, r] = circles[i];
ans[i] = i;
lefts.erase({l, i});
rights.erase({r, i});
while (true) {
auto it = lefts.lower_bound({l, -1});
if (it == lefts.end() || it->f > r) break;
rights.erase({circles[it->s].s, it->s});
ans[it->s] = i;
lefts.erase(it);
}
while (true) {
auto it = rights.upper_bound({r, INF});
if (it == rights.begin()) break;
it--;
if (it->f < l) break;
lefts.erase({circles[it->s].f, it->s});
ans[it->s] = i;
rights.erase(it);
}
}
F0R (i, n) cout << ans[i] + 1 << " \n"[i == n - 1];
}
Compilation message
circle_selection.cpp:75:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
75 | main() {
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
469 ms |
37664 KB |
Output is correct |
2 |
Correct |
517 ms |
37556 KB |
Output is correct |
3 |
Correct |
530 ms |
37396 KB |
Output is correct |
4 |
Correct |
554 ms |
37724 KB |
Output is correct |
5 |
Correct |
438 ms |
37348 KB |
Output is correct |
6 |
Correct |
431 ms |
37672 KB |
Output is correct |
7 |
Correct |
439 ms |
42388 KB |
Output is correct |
8 |
Correct |
410 ms |
42324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
303 ms |
37284 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |